Math Homework Questions & Answers Archive

Factor completely. -2 x^2 -16 x -24

Your school is planning a field trip to the zoo. There are two different bus companies that the school can use. Bus company A has a 35 rental fee plus 5 for each student. Bus company B has a 95 rental fee plus 3 for each student. How many students will need to go in order for the bus to cost the same from both companies?

Quiz 8 Remaining Time: 02:19:39 Let A=[[-7, 2, 12], [-3, 0, 6], [-3, 1, 5]]. Given that λ=-1 is an eigenvalue of A, find a basis for the eigenspace of λ. Enter your basis vectors as a list of column vectors separated by commas, for example: [1, 2, 3],[4, 5, 6], etc.

A crew is made up of 8 men; the rest are women. 66 2/3% of the crew are men. How many people are in the crew?

Find a formula for the exponential function passing through the points (-1, 3/4) and (1,12).

Below is a sample dataset detailing different nutritional characteristics of cereal. I paired down the data set from 80 different cereals to 15 to make you calculations easier. Choose ONE characteristic (Calories, Protein, Fat, Sodium Fiber, Carbohydrates, Sugar, Potassium, Rating) and answer the following questions: 1. State which characteristic you chose. Is this data qualitative or quantitative? 2. Find the mean, median, and mode. 3. Find the range and describe the spread of the distribution. 4. Are there any obvious outliers? Why or why not?

What is the range of this quadratic function? y y ≤ 2 y y ≤ 6 y y ≥ 6 all real numbers Submit

Mia needs to complete an online course that is 12 hours long. Yesterday she completed 3.5 hours of the course and today she has completed 5.25 hours. How many more hours does Mia need to finish the online course?

Solve for x.

C = z12 ≤ z ≤ 34 and z is a multiple of 3

The function g(x)=1.2 sqrt(x)+18.7 models the median height, g(x), in inches, of children who are x months of age. The graph of g is shown. According to the model, what is the median height of children who are 24 months, or 2 years, old? Use a calculator to The median height is 24.6 inches. (Round to the nearest tenth of an inch.) The actual median height for children at 24 months is 25 inches. How well does the model describe the actual height? The model describes the actual height very well. Use the model to find the average rate of change, in inches per month, between birth and 8 months. The average rate of change is 0.4 inches per month. (Round to the nearest tenth.) Use the model to find the average rate of change, in inches per month, between 40 and 48 months.

What percent (%) of the total Calories in your food product is from fat?

MATH201 - It's All About Part III Review the two tables below which calculate the amount of money you and Benjamin will each have at the age of 65 if you stick to your investment strategies. Note: The two tables below have populated automatically based on the annual amount of money invested (green box), an interest rate of 11% per year, compounded semi-annually until age 65.

Given the graph of f(x) above, find the following limits To enter infinity in your answer field, - When you are in text entry mode (when your answer field has just one line), type the word infinity with a lower case i. - When you are in equation editor entry mode (when your answer field has multiple lines with the equation symbol menu bar), choose the symbol infinity to enter infinity. You can switch entry modes by clicking on the button with the upper case Greek letter Sigma next to the answer field. (a) lim x -> 3- f(x)= (b) lim x -> 3+ f(x)=

An opaque bag contains 10 yellow marbles and 18 teal marbles. If two marbles are randomly chosen from the bag at the same time, find the probability that both marbles are teal. Round your answer to four decimal places.

Determine the cost of one adult ticket: Last week, the theater sold 35 adult tickets and 25 student tickets for a total of 420. This week, they sold 2 adult tickets and 40 student tickets for a total of 330. Find the cost of one adult ticket and one student ticket.

Find the indicated area under the standard normal curve. To the left of z=-1.78 Click here to view page 1 of the standard normal table. The area to the left of z=-1.78 under the standard normal curve is (Round to four decimal places as needed.)

Suppose the birth weights of full-term babies are normally distributed with mean 3300 grams and standard deviation σ=525 grams. Complete parts (a) through (c) below. (c) Suppose the area under the normal curve to the right of X=4350 is 0.0228. Provide an interpretation of this result. Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) A. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is less than grams. B. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than grams.

FORMA 111 - 2025 50. Para verificar la relación entre el perimetro y el diámetro de un círculo, los estudiantes de una clase de Matemática dibujan un círculo y sobre su contorno ponen un trozo de lana de manera que lo cubra exactamente, sin que sobre o falte lana, tal como se representa en la siguiente figura: Luego, dibujan varios círculos con el mismo radio que el círculo original, uno al lado del otro e intersecándose en un solo punto, y posicionan el trozo de lana anterior sobre el diámetro de los círculos para verificar cuántos de estos diámetros quedan contenidos en el trozo de lana. ¿Cuál de las siguientes imágenes representa mejor lo que los estudiantes deberían observar? A) B) C) - 42 -

Two researchers, Jaime and Mariya, are each constructing confidence intervals for the proportion of a population who is left-handed. They find the point estimate is 0.19 . Each independently constructed a confidence interval based on the point estimate, but Jaime's interval has a lower bound of 0.117 and an upper bound of 0.263 , while Mariya's interval has a lower bound of 0.095 and an upper bound of 0.255 . Which interval is wrong? Why? Choose the correct answer below. A. Mariya's interval is wrong because it is not centered on the point estimate. B. Mariya's interval is wrong because it is too wide. C. Jaime's interval is wrong because it is too narrow D. Jaime's interval is wrong because it does not include the point estimate.

Use the definition of a logarithm to solve the equation. A ln(9y) = ln(y^2 + 5y) y =

Solve S=2LW+2LH for L.

Choose the best answer. A is the locus of points in a plane that are equidistant from a line and a point not on the line. parabola directrix vertex focus

En la figura adjunta se muestra la función densidad de la variable aleatoria x, la cual tiene una distribución probabilidod. normal con media μ y desviación estándar σ. ¿Cuál de los siguientes números es la mejor aproximación de la probabilidad que representa la zona achurada? A) 0,003 B) 0,157 C) 0,315 D) 0.499

Use the quadratic formula to solve the equation 2x^2 - 7x = 1 x = (Simplify your answer. Type an exact answer, using radicals and i as needed. Use integers or fractions

Perform the indicated operation simplify. Express the answer in terms of i (as a complex number). sqrt(-8) * sqrt(-200) =

Step 2 of 2: Determine the value(s) of the local extrema you identified in the previous step. Write DNE for all extrema that do not exist. Separate multiple answers with a comma, if necessary.

Question Let R be the region bounded below by the graph of the function (f(x)=-fracx^26-2) and above by the (x)-axis over the interval ([-3,3]). Find the centroid, ((barx, bary)), of the region. Enter answer using exact values. Provide your answer below: ((barx, bary)=).

Question 9 (Mandatory) (2 points) Divide. -14 a^2 b^3+21 a^3 b^2-28 a^4 b^4 / 7 a^2 b^2 -2 b+3 a^2-4 a b^2 -2 b+3 a^2 b-4 a^2 b^2 -2 b+3 a-4 a^2 b None of the above.

Find the derivative of y=(7x^4-6)^x. Be sure to include parentheses around the arguments of any logarithmic functions in your answer.

Binary uses a system of and . X's and Y's A's and B's Ups and Downs Zeroes and ones

La figura siguiente muestra un péndulo circular. Su radio es: 2,8 metro (a) Utilice la calculadora para hallar el ángulo Asegúrese de incluir las unidades correctas. (b) Una catenaria puede aproximarse a un arco de circunferencia. (c) Circunferencia: (d) El punto se encuentra en el ángulo para determinar la cantidad de pavimento necesario? Área:

Why are covalent bonds strong?

Consider an economy with the money demand function is [ (m/p)^d=1/2 times y/i ]

Graph the line y=3 and represent the line in multiple ways.

Shkruaj 4 shumëfishat e parë të numrit 6 . Shkruaj 4 shumëfishat e parë të numrit 9. Shkruaj 6 shumëfishat e parë të numrit 5 . Sa prej tyre janë çift? Shkruaji Sa prej tyre janë tek? Shkruaji A është 56 shumëfish i 7-s? I sati? - A është 56 shumëfish i 8 -s? I sati? - A është 56 shumëfish i përbashkët i 7 -s dhe i 8 -s? A është 40 shumëfish i 3 -shit? - Shkruaj 3 shumëfisha të 3 -shit që janë fill para 40 -ës. - Shkruaj 3 shumëfisha të 3 -shit që janë fill pas 40 -ës. Shkruaj shumëfishin e 3-të të 4-ës. - Shkruaj shumëfishin e 5-të të 4-ës - Mblidhi. - Shumëfishi i satë i 4-ës është ky? Sara mendon një numër që është shumëfish i 6-s. Në qoftë se i shton 1, merr një shumëfish të 7 -s. Cili është numri që kame nëse është më i madh se 30 , por më i vogël se 60?

1/2 lim as n approaches +∞ (1 - 1/(2n+1)) =

Solve the linear programming problem. Maximize P=4x+4y Subject to 2x+y ≤ 20 x+2y ≤ 16 x, y ≥ 0 Select the correct choice below and fill in any answer boxes present in your choice. What is the maximum value of P ? A. P= (Type an integer or a fraction.) B. There is no maximum value of P.

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) What is the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips, inclusive? (b) What is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) What proportion of bags contains more than 1225 chocolate chips? (d) What is the percentile rank of a bag that contains 1025 chocolate chips?

Write the function as a sum of terms of the form ax^n, where a is a constant. f(x)=11/x^3 11/x^3 =

-1/3 x - 1/3 y = 1

QUESTION 14 - 1 POINT Consider the table of values below. x 0 1 2 3 f(x) 1 18 35 52 Find the linear function f(x) that corresponds to the table of values. Provide your answer below: f(x)=

Construct a truth table for (p ∨ q) ∨(∼ p ∨ ∼ r). Use T for true and F for false.

Find the quotient and simplify the result. [ frac2 x^55 x^6 div frac6 x10 x^4 ]

Solve the following exponential equation. Express your answer as both an exact expression and a decimal approximation rounded to two decimal places. Use e = 2.71828182845905 e^(2x) = 80^(1+x)

Graph the inequality on the axes below. y ≤ 3x-6

A sector of a circle is shown below. Calculate the area of the shaded segment. Give your answer to 1 d.p. Not drawn accurately

Find the component form of v given its magnitude and the angle it makes with the positive x-axis. Sketch v. Magnitude Angle v=7 theta=45°

How can the coffee's temperature after 19 minutes be found? Select the correct choice below and fill in the answer box to complete your choice. A. Evaluate T(). B. Solve =18+49 e^(-0.029 t) for t. The coffee's temperature after 19 minutes is °C. (Type an integer or decimal rounded to one decimal place as needed.)

The rectangular coordinates of a point are given. Find polar coordinates ((r, theta)) of this point with (theta) expressed in radians. Let (r>0) and (-2 pi<theta<2 pi). ((-7,7)) One possibility for the polar coordinates of this point is (Simplify your answer. Type an ordered pair. Type your answer in radians. Type exact answers, using (pi) as needed. Use integers or fractions for any numbers in the expression.)

x^2 + 32x = 4y - 32

In 2010, the population of the United States was approximately 310 million, with 0.97% annual growth rate. At this rate, the population will be approximately: (a) P(t) = 310(1.0097)^t (b) P(t) = 310 + 0.97t (c) P(t) = 310(1 + 0.0097t) Part of S The function that models the U.S. population (in millions) t years after 2010 is: P(t) = 310(1.0097)^t This indicates that the population is increasing in the exponential fashion. (a) If P(0) = 310, then it represents the population in the year 2010. (b) P(1) = 310(1.0097)^1 = 313.007 million in the year 2011. (c) P(2) = 310(1.0097)^2 = 316.044 million in the year 2012. (d) P(3) = 310(1.0097)^3 = 319.112 million in the year 2013.

If f(x)=x^2-4x, find f(a) f(a)= (Simplify your answer. Do not factor.)

Draw rectangles associated with Riemann sums that converge to the integral below. Use n=4 and 10 subintervals of equal length. ∫ from 0 to 1 (1-x) dx = 1/2 Choose the correct graph of the left Riemann sum with n=4 subintervals of equal length. A. B. C. Choose the correct graph of the left Riemann sum with n=10 subintervals of equal length. A. B. C.

Given f(x)=-3x^2-x-15, find f(-8)

Write the unit cost, rounded to the nearest cent. If 11 compact discs cost 167.85, then one compact disc costs 15.2591.

Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) arcsin (1)

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.) an = (1+(-1)^n)/n

Find the unknown quantity in the following percent problem using the formula R * B = A. Round your answer to two decimal places, if necessary. 30% of is 48.

Use the ALEKS graphing calculator to solve the equation. e^(2x-2)=3x+1 Round to the nearest hundredth. If there is more than one solution, separate them with commas. x=

If Amber is paid 8 per hour for typing, the table shows how much she earns. Hours (h) 1 2 3 4 5 Wages (w) 8 16 24 32 40 a. How much would Amber make for a 25-hr work week? b. What is the constant of proportionality?

The United States Postal Service wants to estimate the average number of days that it takes for a package to be shipped from the United States to an overseas military base. In a random sample of 60 such packages, the average shipping time was 12.2 days, with a standard deviation of 1.42 days. A histogram and boxplot of the data are below. Construct a 90% confidence interval for the average number of days that it takes for a package to be shipped from the United States to an overseas military base. Make sure to include all steps. Write your answers in the space provided on your paper. Step 1: Check conditions. Be specific as to why each condition is or isn't met. Even if one of the conditions is not met, continue with constructing the confidence interval. Step 2: Calculate the confidence interval. Make sure to show all work and to write down any RStudio commands that you used to find values. Step 3: Write a sentence or two interpreting the confidence interval in the context of the problem.

Solve the system by elimination method. x+Ay=-1 x+By=1 Where A and B are non-zero numbers with A ≠ B. Write the answer in terms of A, B. Select one: A. x=2/(-A+B), y=(-A-B)/(-A+B) B. x=(-A-B)/(-A+B), y=2/(-A+B) C. x=(-A+B)/(-A-B), y=2/(-A+B) D. x=(-A+B)/2, y=(-A+B)/(-A-B)

A pair of similar figures is given below. (Note: the figures are not drawn to scale.) The sides WX and YZ are corresponding sides. Use the information below to find the area of Figure 1 and the perimeter of Figure 2. Figure 1 Perimeter of Figure 1=20 cm WX=5 cm

Question 4 2 pts Which is the primary cause for swelling in inflammation? increased capillary permeability platelet plug formation activation of nociceptors vasoconstriction

Give the domain and range of the quadratic function whose graph is described. The vertex is (-3,-1) and the parabola opens down. The domain of f is (Type your answer in interval notation.)

Determine the area under the standard normal curve that lies between (a) Z=-0.97 and Z=0.97, (b) Z=-1.93 and Z=0, and (c) Z=-1.38 and Z=-0.88.

(a) Determine the domain. (-∞, ∞) (Type your answer in interval notation) (b) Determine all local minimum points, and tell if any is an absolute minimum point. Select the correct choice below and, If necessary, fill in the answer box(es) to complete your choice. A. The local minimum point(s) is/are and the absolute minimum point(s) is/are 1. (Type an ordered pair, using integers or decimals, Round to the nearest hundredth as needed. Use a comma to separate answers as needed). B. The local minimum point(s) is/are and there is no absolute minimum point. (Type an ordered pair, using integers or decimals. Round to the nearest hundredth as needed. Use a comma to separate answers as needed)

Translate the following phrase into an algebraic expression. Do not simplify. x multiplied by the product of 3 and y

Use the given information to find the exact function value. Given cos α = 3/5 and 3π/2 < α < 2π, find sin α/2.

Give the degree measure of the angle in the space provided. θ=arcsin(-1/2)

A basic KouTube TV membership has an activation fee of 45 dollars, plus 70 dollars per month. What linear function represents the total cost of a basic VouTube TV membership for m months? What is the cost for an entire year of service?

3-(-6)=□ -4-(-7)=□

Which of the following are properties of a probability density function (pdf)? Select all that apply. A. The probability that x takes on any single individual value is greater than 0. B. The height of the graph of the equation must be greater than or equal to 0 for all possible values of the random variable. C. The high point of the graph must be at the value of the population standard deviation, σ. D. The total area under the graph of the equation over all possible values of the random variable must equal 1. E. The values of the random variable must be greater than or equal to 0. F. The graph of the probability density function must be symmetric.

d. P(z ≥ -2.5) e. P(-3 < z ≤ 0)

Determine the following. [ int 3 e^-2 x d x int 3 e^-2 x d x=square ]

Relation 3 (a, a),(g, x),(w, a),(x, a) Function Not a function Relation 4 (4, y),(2, z),(-9, y),(2, y) Function Not a function

To take action as long as a condition remains true, you use a

Determine whether the given ordered pair is a solution to the system of equations. 3x + 7y = 1 2x + 4y = 0 (2,3) No Yes

Solve the equation. Express numbers in exact form. q^2+2q-15=0 The solution set is .

Solve the equation. Check the solution. 19/p = 3 + p/(p+1) The solution set is . (Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)

Listed below in order are prices in dollars for a Big Mac hamburger in the United States, Canada, Mexico, China, Japan, Russia, Switzerland, Italy, Spain, Britain, India, and Egypt. Such data are used to compare currency exchange rates and the costs of goods in different countries. Find the range, variance, and standard deviation for the given sample data. What do the measures of variation tell us about the prices of a Big Mac in different countries? 5.30, 5.30, 2.56, 3.21, 3.38, 2.31, 6.80, 5.08, 4.80, 4.43, 2.81, 1.87 The variance is 2.28 dollars. The standard deviation is 1.51 dollars. What do the measures of variation tell us about the prices of a Big Mac in different countries? A. The variance and standard deviation tell us that Big Macs have lower prices in wealthier countries. B. The range alone tells us that there are very small differences among prices of Big Mac hamburgers in different countries. C. The variance and standard deviation tell us that Big Macs have higher prices in wealthier countries. D. The range alone tells us that there are very substantial differences among prices of Big Mac hamburgers in different countries.

Solve for r. K=9r-s

The rate at which a cricket chirps depends on the temperature of the surrounding air. It is possible to estimate the air temperature by counting chirps. Examine the table. Use the table to answer parts (a) through (d). Temperature ( ° F ) Rate (chirps per minute) 50 43 60 86 70 129 80 172 90 215 a. Let g(F) be the number of chirps per minute a cricket makes when the temperature is F degrees Fahrenheit. Find an equation of g . The line should be found by interpolating between the first and last points. Verify that the graph of the equation comes close to the points in the scattergram of the data. g(F)=4.3 F-172 (Type your answer in slope-intercept form.) Does the graph of the equation come close to the scattergram of the data? No Yes b. Find g(51). What does it mean in this situation? g(51)= (Type an integer or a decimal.)

Solve the equation for exact solutions over the interval [0,2π). 2 cot x + 1 = -1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is . (Type an exact answer, using π as needed. Type your answer in radians. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The solution is the empty set.

Evaluate. 1/3 * 7/8 - 1/4 Write your answer in simplest form.

Calcula el valor del cateto adyacente "a" para el siguiente triángulo rectángulo A) 3 / 4 cm B) 4.33 cm C) 2.5 cm D) 5.25 cm

2(4-3x)-(-3)+2x

Give the degree measure of θ if it exists. Do not use a calculator. θ=arccos (1) Select the correct choice below and fill in any answer boxes in your choice. A. θ=arccos (1)= 0 (Type your answer in degrees.) B. arccos (1) does not exist

x-6 x^2-9-2 x^2

Find the x-intercepts and y-intercepts for f(x). f(x) = x^2 - 4x + 1 Find the x-intercepts for f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The x-intercept(s) is(are) . (Type an ordered pair. Simplify your answer. Type an exact answer, using radicals as needed. Use commas to separate answers as needed.) B. There is no x-intercept. Find the y-intercepts for f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The y-intercept(s) is(are) . (Type an ordered pair. Type an exact answer in simplified form. Use commas to separate answers as needed.) B. There is no y-intercept.

Evaluate the algebraic expression at (x=-7, y=4) and simplify your answer. [5 x^2-5 y^2-2]

A rectangle has a length 2 m less than twice its width. When 2 m are added to the width, the resulting figure is a square with an area of 36 m^2. Find the dimensions of the original rectangle. The length of the original rectangle is and its width is

The height y (in centimeters) of a plant x days after it sprouts can be described by the equation y=2x. Use this equation to complete the table of values. x y ------ 0 7 14 21 28

According to the Transportation Security Administration (TSA) data, 6.5% of the passengers fly first-class. A random sample of size 121 was obtained. Let p̂ be the proportion of the sample that fly first-class. Explain why the Central Limit Theorem cannot be used Select an answer Select an answer the sample is large enough but the sampling technique is biased the Central Limit Theorem can be used only for sample means the sample is large enough but not random the sample is not large enough, i.e. np<10 or n(1-p)<10

Simplify the expression by combining like terms. -5.1 d+4.8-(2 d+0.5)+2.5 d What does -5.1 d+4.8-(2 d+0.5)+2.5 d equal? A. -7.6 d+7.3 B. -4.6 d+5.3 C. -0.3 d D. -4.6 d+4.3

Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. f(x)=x^4-162 x^2-7 First find the derivative of f(x). f'(x)=

(a) An angle measures 80°. What is the measure of its supplement? (b) An angle measures 29°. What is the measure of its complement?

Unit 4 Quiz 3 Geometry / Search Fri, 24 Nov 4:47 (m dublin) [3 Daylight Savings] Triangles Choose the correct answer. Which theorem or corollary is represented by the picture? The bold lines in the picture represent the hypothesis of the theorem or corollary. Triangle O Isosceles Triangle Theorem O Corollary 2 of the Isosceles Triangle Theorem O Converse to the Isosceles Triangle Theorem O Corollary to the Isosceles Triangle Theorem

Describe the transformations that produce the graph of (g) from the graph of (f). (f(x)=x^2 ; g(x)=-(x-9)^2+8)

Use the table to calculate the amount of money that must be invested now at 4% annually, compounded quarterly, to obtain 1,400 in four years. How much money must be invested at 4% annually, compounded quarterly, to obtain 1,400 in four years? (Do not round until the final answer. Then round to the nearest cent as needed.)

Solve for w where u=(0,-1,1,1) and v=(2,3,-1,0). w+2 v=-4 u

A board game uses the deck of 20 cards shown to the right. If one card is drawn, determine the probability that the card shows a yellow bird or a 4. The probability of selecting a yellow bird or a 4 is

Use the figure, which shows two lines whose equations are y1=m1 x+b1 and y2=m2 x+b2. Assume that both lines have positive slopes. Derive a formula for the angle between the two lines. Then use your formula to find the angle between the given pair of lines. y=x and y=(1/sqrt(3)) x θ=

Perform the indicated operation. -16(4)/(-4-12) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. -16(4)/(-4-12) = (Type an integer or a simplified fraction.) B. The answer is undefined.

Given f(x)=5x^2-4 and g(x)=4-(1/2)x^2, find the following expressions. (a) (f ∘ g)(4) (b) (g ∘ f)(2) (c) (f ∘ f)(1) (d) (g ∘ g)(0) (a) (f ∘ g)(4)= (Simplify your answer)

Evaluate the definite integral of the algebraic function. Type the exact answer. ∫ from 1 to 9 of (u-7)/√u du

Exam results for 100 students are given below. For the given exam grades, briefly describe the shape and variation of the distribution. median = 67, mean = 76, low score = 64, high score = 84

Exponential Growth Vectored Instruction Rabbit populations can increase by 45% every 10 days. If there are 12 rabbits on a farm, how many rabbits will there be on the farm after 90 days? Future Amount = 12(1+0.45)^9 Future Amount = [?] rabbits Round to the nearest whole number:

Evaluate the following algebraic expression at x=0, y=0, z=3 and simplify your answer. (x+y)^2-9 z

Solve the equation. [ left(frac35right)^x=left(frac27125right) ] The solution set is .

The graph of f(x) shifted left 4 units and shifted down 1 units. f(x) = sqrt(x-4) - 1 f(x) = sqrt(x-4) + 1 f(x) = sqrt(x+4) - 1 f(x) = sqrt(x+4) + 1 The graph of f(x) stretched vertically by a factor of 2 . f(x) = 2 sqrt(x) f(x) = 1/2 sqrt(x) f(x) = sqrt(2 x) f(x) = sqrt(1/2 x)

Sketch the graph of the parabola by using only the vertex and the y-intercept. Check the graph using a graphing calculator. R=v^2+6v Use the graphing tool to graph the parabola. Click to enlarge graph

Determine the domain and range of the graph.

For u=⟨4,-5⟩ and v=⟨-3,5⟩ find u · v.

A person has a taco stand. They have found that their daily costs are approximated by C(x) = x^2 - 30x + 455, where C(x) is the cost, in dollars, to sell x units of tacos. Find the number of units of tacos they should sell to minimize costs. What is the minimum cost? The person should sell units of tacos to minimize the costs. The minimum cost is . (Simplify your answers. Type integers or fractions.)

This exercise can be solved using combinations even though the problem statement will not always include a form of the word "combination" or "subset." Kierman (the contractor) is to build eight homes on a block in a new subdivision, using two different models: standard and deluxe. (All standard homes are the same, and all deluxe models are the same.) (a) How many different choices does Kiernan have in positioning the eight houses if they decide to build five standard and three deluxe models? (b) If Kiernan builds four deluxes and four standards, how many different positionings can they use?

-3x - 3 < -x - 5

Grafica: f(x)=5x-10 Resolución: Tabulando x y 0 -10 2 0

Use the graph of the function y=f(x) below to answer the questions. (a) Is f(-5) positive? Yes No (b) For which value(s) of x is f(x) ≥ 0 ? Write your answer using interval notation. (c) For which value(s) of x is f(x)=0 ? If there is more than one value, separate them with commas.

The rabbit population at the city park increases by 15% per year. If there are initially 288 rabbits in the city park. a) Write a model for the population (y) in terms of years ( t ). y=

Solve the equation for x. x^2=16

Question 21 4 pts Use the given table for (f(x)=a x^2+b x+c) to solve the inequality (f(x)<0). x -6 -4 -2 0 2 4 6 f(x) 20 0 -12 -16 -12 0 20 (x<-4) or (x>4) (x<-5) or (x>5) (-5<x<5) (-4<x<4)

In 2022, Antarctica recorded record-breaking high temperatures. Consider the monthly average temperature (in degrees Celsius) for 2021 displayed in the table. -15.7, -21.9, -30.4, -35.4, -30.6, -29.7, -30.5, -39.8, -35.5, -28.9, -20.6, -16.5 Use the stats tool to find the mean and standard deviation of the temperature data. Round answers to 2 decimal places. The mean is and the standard deviation is

The function m is given in three equivalent forms. Which form most quickly reveals the y-intercept? Choose 1 answer: (A) m(x)=2(x+4)^2-8 (B) m(x)=2 x^2+16 x+24 (C) m(x)=2(x+6)(x+2) What is the y-intercept?

Use the discriminant to determine the number of real solutions. w^2-2w+2=0 No real solutions One real solution Two real solutions

Solve by the elimination method. 6x + 4y = -16 -6x + y = 41 Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. The solution is (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions. C. There is no solution.

Find the vertex, focus, and directrix of the parabola. Graph the parabola. x^2 + 18x = 9y - 18 The vertex is (-9,-7). (Type an ordered pair. Simplify your answer.) The focus is . (Type an ordered pair. Simplify your answer.)

A city council consists of six Democrats and eight Republicans. If a committee of five people is selected, find the probability of selecting two Democrats and three Republicans. (Type a fraction. Simplify your answer.)

Suppose the integral from 0 to 4 of f(x) dx equals 3, the integral from 4 to 6 of f(x) dx equals -6, and the integral from 4 to 6 of g(x) dx equals 7. Evaluate the integrals in parts a - d. The integral from 0 to 4 of 5f(x) dx equals 15 The integral from 4 to 6 of -9g(x) dx equals -63 The integral from 4 to 6 of [8f(x)-g(x)] dx equals

Simplify the following expression to a single trig function with no fractions. 1-sin^2(x)/(sin(x) cos(x))

Evaluate the expression: -5+28°+6^2.

MAT100-08 COLLEGE ALGEBRA 2024-3 10.09 - Values of Inverse F... CURRENT OBJECTIVE Given table of values of a function, find value of inverse function Question Given the following table of values for the function (f(x)), determine (f^-1(-5)). (x) -5 1 4 5 6 8 (f(x)) -11 -9 -7 -5 -2 10 Provide your answer below: [ f^-1(-5)= ]

13.5 • 7.2

In a trial of 108 patients who received 10 -mg doses of a drug daily, 28 reported headache as a side effect. Use this information to complete parts (a) and (b) below. (a) Verify that the requirements for constructing a confidence interval about p are satisfied. Are the requirements for constructing a confidence satisfied? A. Yes, the requirements for constructing a confidence interval are satisfied. B. No, the requirement that np(1-p) is greater than 10 is not satisfied. C. No, the requirement that the sample size is no more than 5% of the population is not satisfied. D. No, the requirement that each trial be independent is not satisfied. (b) Construct and interpret a 90% confidence interval for the population proportion of patients who receive the drug and report a headache as a side effect. One can be 90% confident that the proportion of patients who receive the drug and report a headache as a side effect is between and . (Round to three decimal places as needed. Use ascending order.)

Question 5 (1 point) The population standard deviation for the height of college basketball players is 3 inches. If we want to estimate 97% confidence interval for the population mean height of these players with a 0.6 margin of error, how many randomly selected players must be surveyed? (Round up your answer to nearest whole number)

Find the common ratio and write out the first four terms of the geometric sequence (2^(n+3))/3 Common ratio is a1= a2= a3= a4=

Answer the following questions about the function whose derivative is given below. a. What are the critical points of f ? b. On what open intervals is f increasing or decreasing? c. At what points, if any, does f assume local maximum or minimum values? f'(x)=(sqrt(3) sin x+cos x)(sin x-sqrt(3) cos x), 0 ≤ x ≤ 2 pi a. What are the critical points of f ? Select the correct choice below and, if necessary, fill in the answer box to A. The critical point(s) of f is/are x= (Type an exact answer, using pi as needed. Use a comma to separate answers as needed.) B. The function f has no critical points.

Find the x-and y-intercepts, and the equations of the vertical, and horizontal asymptotes. If there are multiple of a specific intercept or asymptote, list them in order from least to greatest. If there is none, enter "DNE". After you complete your analysis, provide a graph of your rational function on paper to turn in with your exam. Be sure to include your asymptotes. f(x)=(3 x^2-13 x-10)/(2 x^2+11 x+5) x-intercepts: , 0) y-intercept (0, Horizontal asymptote at y= Vertical asymptote at x= , Now create a graph of your rational function on paper and turn in your drawing at the conclusion of your exam.

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. What is the probability that a flight is between 125 and 140 minutes? Multiple Choice O 0.33 O 0.67 O 1.00 O 0.50 < Prev 1 of 10 Next >

If sin(x) = 1/8 and x is in quadrant I, find exact values for sin(2x) and cos(2x), without finding x.

The mean number of English courses taken in a two year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 48 males and 30 females. The males took an average of 2.76 English courses with a standard deviation of 1.4. The females took an average of 2.46 English courses with a standard deviation of 1. Assume that the population variances are equal. a. State the null and alternative hypothesis for the claim that the average number of English courses taken in a two year period is the same for male students and female students. - Null Hypothesis (H0): μA - μB = 0 - Alternative Hypothesis (Ha): μA - μB ≠ 0 b. The null hypothesis is the claim. c. The goal of the test is to refute the null hypothesis. d. We will use a t-test with 76 degrees of freedom. e. Calculate the standardized test statistic for the hypothesis test, rounded to 2 decimal places. - t = 0.98 f. Calculate the p-value of the hypothesis test, rounded to 4 decimal places. 0.33 g. Come to a conclusion at the 0.05 significance level: Fail to reject the null hypothesis

Find the length of the third side. If necessary, write in simplest radical form.

Question 8 Find the least common multiple of 90 and 54. Add your answer Integer, decimal, or E notation allowed

(3x^2/2 + 2/3 x + 1/2) · (1/2 x^2 + 2 x - 1)

A fast food restaurant executive wishes to know how many fast food meals adults eat each week. They want to construct a 99% confidence interval for the mean and are assuming that the population standard deviation for the number of fast food meals consumed each week is 1.5. The study found that for a sample of 361 adults the mean number of fast food meals consumed per week is 7.4. Construct the desired confidence interval. Round your answers to one decimal place.

If 5 cards are dealt from a standard deck of cards, how many different ways can two hearts and three non-hearts be dealt? There are five-card hands consisting of two hearts and three non-hearts. (Type a whole number.)

The shaded region under a Normal distribution with mean 50 and standard deviation 2 is shown. Which of the following is the best choice that corresponds to the shaded region? Select one. Probability of x ≥ 48 Probability of x ≥ 52 Probability of x ≤ 52 Probability of x ≤ 48

Express the given terminating decimal as a quotient of integers, If possible, reduce to lowest terms. 0.87 = Blank1 / Blank2

Resolución de modelos de dos fases Resuelva los siguientes modelos de PL con el método 2 fases tabular. Modelo 1 Max x1+2 x2 s.a: 2 x1+4 x2 geq 12 4 x1+5 x2 leq 20 x1, x2

Use radical notation to write the expression. Simplify if possible. Assume that all variables represent nonnegative quantities. 8 m^(1/5) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 8 m^(1/5)= (Simplify your answer. Type an exact answer, using radicals as needed.) B. The answer is not a real number.

Before calculating the regression line, you expect the slope to be negative based on the points you plotted, suggesting that there may be a negative linear relationship between fatigue and depression. For the data above, the value of X̄=5, Y=6.35, covXY=-7.500, sX²=10.000, and sY²=9.644. Find the regression line for predicting Y given X. The slope of the regression line is approximately -0.75, and the Y intercept is approximately 10.1. The Pearson correlation is r=-0.7637 approximately. The variation amount in the depression scores (explained by their fatigue scores) is The standard error of the estimate is Suppose you want to predict the depression score for a new patient. The only information given is that this new patient is similar to patients A through E; therefore, your best guess for the new patient's level of depression is The error associated with this guess (that is, the "standard" amount your guess will be away from the true value) is

Solve the system. x+7y-z=49 2x-5y+2z=-28 x-6y=-32

The central dogma describes information flow in cells as to to

A sample of size n=38 is drawn from a population whose standard deviation is σ=44. Find the margin of error for a 90% confidence interval for μ. Round the answer to at least three decimal places. The margin of error for a 90% confidence interval for μ is

Graph the given function by making a table of coordinates. f(x)=(3/4) Complete the table of coordinates. x -2 -1 0 1 2 y (Type integers or fractions. Simplify your answers.)

The number of cheesecakes sold each day by a bakery follows a random variable X. The distribution of X is in the table below: x 0 5 10 15 20 P(x) 0.11 0.11 0.18 (?) 0.07 On a given day, what is the probability that the bakery sells... A) .15 cheesecakes? 0.53 B) ... at least 10 cheesecakes? 0.78 C) ... at most 10 cheesecakes? 0.40 D) ... 5 or 15 cheesecakes? E) ... 25 cheesecakes? F) What is the expected value of the number of cheesecakes sold daily? 11.7

Evaluate the following expressions. a. 10^3 × 10^6 b. 10^5 × 10^-3 c. 10^12 / 10^4 d. 10^6 / 10^-2 (Simplify your answer. Type your answer using exponential notation.)

FORMA 111-2025 10. En un local se vende un sándwich con dos trozos de carne de un cuarto de libra Considera que una libra equivale a 453,6 g, ¿cuál es la masa total de los dos trozos de carne que trae el sándwich? A) 907,2 g B) 453,6 g C) 226,8 g D) 113,4 g

The data below represents yearly car insurance premiums in the US for 12 randomly selected drivers. Assuming the data is normally distributed, test the claim that the average yearly car insurance premium for a person in the US is 1,566 using a level of significance of 10%. 1,570 1,500 1,385 1,547 1,482 1,616 1,475 1,574 1,615 1,516 1,491 1,652 a. What type of test will be used in this problem? Select an answer b. What evidence justifies the use of this test? Check all that apply: np>5 and nq>5 The original population is approximately normal The sample standard deviation is not known The population standard deviation is known There are two different samples being compared The sample size is larger than 30 The population standard deviation is not known c. Enter the null hypothesis for this test. H0: ? v d. Enter the alternative hypothesis for this test. H1: ?v?v e. Is the original claim located in the null or alternative hypothesis?

Find the maximum value of the definite integral I = ∫ from -1 to x (2t^2 - 3t + 1) dt, where x is a real number between 0 and 2, inclusive.

Solve the following logarithmic equation. ln x + ln x^2 = 3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type an exact answer. Type your answer using exponential notation. Use integers or fractions for any numbers in the expression) B. The solution set is the set of real numbers. C. The solution set is the empty set

Use synthetic division to perform the division. 6a^3 - 53a - 3 / a - 3

Factor 3x^2+2x-8

Solve using the addition principle. 1 + 3 = x + 2 + 5

There are 7 streets to be named after 7 tree types. Ash, Elm, Maple, Oak, Pine, Spruce, and Willow. A city planner randomly selects the street names from the list of 7 tree types. Compute the probability of each of the following events. Event A: The first three streets are Maple, Pine, and Ash, without regard to order. Event B: The first street is Maple, followed by Spruce and then Ash. Write your answers as fractions in simplest form.

Inventory does not include: Multiple Choice The cost of office equipment. Assets intended to be sold in the normal course of business. Materials used in the production of goods to be sold. Assets currently in production for normal sales.

A research center claims that at least 32% of adults in a certain country think that their taxes will be audited. In a random sample of 1200 adults in that country in a recent year, 29% say they are concerned that their taxes will be audited. At α=0.01, is there enough evidence to reject the center's claim? Complete parts (a) through (d) below. Let p be the population proportion of successes, where a success is an adult in the country who thinks that their taxes will be audited. State H0 and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.)

In a random sample of 26 people, the mean commute time to work was 32.6 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 95% confidence interval for the population mean μ. What is the margin of error of μ? Interpret the results. The confidence interval for the population mean μ is ) (Round to one decimal place as needed.)

Simplify the expression. Write your answer as an integer or simplified fraction. 3^-2+6^-1=

Evaluate the function at the given value of (x). Round to 4 decimal places if necessary. [ f(x)=e^x ; f(-2) ] 0.1353 0.6931 -5.4366 6.5809

In a binomial experiement, what does it mean to say that each trial is independent of the other trials? Choose the correct answer below. A. Each trial is independent of the other trials if the outcome of one trial does not affect the outcome of any of the other trials. B. Each trial is independent of the other trials if no more than one trial occurs at a time. C. Each trial is independent of the other trials if the outcome of one trial affects the outcome of another trial. D. Each trial is independent of the other trials if the sum of all the possible trial outcomes equals 1 .

f(x) = x+3 + x-3 + x^2 - 1

Consider the following interval. the area to the right of z=1.53 Consider the following interval. the area to the right of z=0.16

7/9 * 1/5 * 3/14

Add or subtract as indicated. 3/11 - 1/4

Question 3 (1 point) The owner of a new restaurant is ordering tables and chairs. She only wants tables for 2 and tables for 4. - The total number of people that can be seated in the restaurant is 120. An equation that represents the number of 2-seat tables, x, and the number of 4-seat tables, y, she should order is Your equation should be written in the standard form, ax + by = c Blank 1:

Use 9 point bins (91 to 99, 82 to 90, etc) to make a frequency table for the data set below. Include columns for relative frequency and cumulative frequency: 99, 70, 93, 80, 86, 89, 72, 99, 99, 95, 77, 89, 95, 64, 88, 71, 66, 91, 73, 69 Complete the table. (Type integers or decimals rounded to the nearest tenth as needed.) Data Frequency Relative frequency Cumulative frequency 91 to 99 x

Math

New Questions