Math Homework Questions & Answers Archive

lim (x, y) -> (9,9) (x^2 - xy) / (sqrt(x) - sqrt(y)) =

Bài 4. Ta có hình sau với AO=BO và góc OAM=góc OBN. a. Chứng minh AM=BN b. Gọi giao điểm của AM và BN là I. Cho góc NAM=70° và góc NIM=110°. Hãy tính số đo góc AOB?

x y = f(x) -1 6 0 1 1 -4 2 -9 3 -14

A bacteria culture initially contains 2000 bacteria and doubles every half hour. Find the size of the bacterial population after 20 minutes. Find the size of the bacterial population after 7 hours.

When using the square always be careful to avoid double-counting outcomes. multiplication rule odds formula addition rule polygraph test

Factor the polynomial. If the polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary. 3 s^2 + 14 s + 8 Select the correct choice below and fill in any answer boxes within your choice. A. 3 s^2 + 14 s + 8 = (Type your answer in factored form.) B. The polynomial is prime.

Calculating circumference and Area of Circles Julian Ca: (2) What is the circumference of circle S? What is the area of circle S? Use 3.14 as π. Circumference of Circle S Diagram Label, Value, Units TS, 39, feet TR, 78, feet , , feet , , square feet

f(x)=4/(x+7)

Graph the sets of points whose polar coordinates satisfy the inequalities (0 leq theta leq frac7 pi8, r geq 0).

Solve (S=a(x-v t)) for (t)

Graph the line. y=3/5 x+2

Contenido de la actividad Pregunta 1 De acuerdo a la situación gráfica que se presenta Se puede negar que los conjuntos A y B son disconjuntos (V) Verdadero (F) Falso

-3x + 4 = 3vw, for x

Δy/Δx = (f(x₂) - f(x₁))/(x₂ - x₁) = (f(x₁ + h) - f(x₁))/h, h ≠ 0

Copy and complete the table. g(x) f(x) (f ∘ g)(x) x/(x+2) x ? b. (x-1)/x (x)/(x+1) c. sqrt(x) x d. sqrt(x) ? x

Question 8 of 29 This quiz: 29 point(s) possible This question: 1 point(s) possible The following stem and leaf plot gives the weights in pounds of all 15 students in the Algebra I class at East Junior High. a. Write the weights of the 15 students. b. What is the weight of the lightest person in the class? c. What is the weight of the heaviest person in the class? d. Draw a histogram based on the stem and leaf plot. Weights of Students in East Junior High Algebra I Class 8 1 5 6 8 9 1 6 6 9 10 2 5 11 12 2 5 Note: 10 3 represents 103 lb a. Choose the correct answer below. A. 72, 75, 81, 81, 85, 86, 88, 91, 96, 96, 99, 102 B. 72, 75, 81, 81, 85, 86, 88, 91, 96, 96, 99, 102, 105, 122, 125 C. 81, 81, 85, 86, 88, 91, 96, 96, 99, 102, 105, 122, 125 D. 72, 75, 81, 81, 85, 85, 86, 88, 91, 96, 96, 96, 99, 102, 105, 122, 125

lim t → 2 C(t)

Determine the (x) values where the following function is discontinuous (f(x)=leftbeginarraylrr -2 x+6 text if x leq-4 -3 x+2 text if -4<x leq 1 2 x-3 text if 1<x endarrayright.)

Set up the x̄-chart by specifying the center line and three-sigma control limits below. (Enter your responses rounded to two decimal places.) x̄-chart UCL x̄=17.28 x̄=10.93 LCL x̄=4.58 b. On the control charts developed in part (a), plot the values from samples 16 through 25 and comment on whether the process is in control. Choose the correct R-chart for the data below. A. B. C. D.

Unit Review - Periodic Functions The black graph is y=cos x. Skip Choose the equation for the red graph. y+1=cos x y=cos (x+π) y-2=cos x y=cos (x-π / 2)

Question 11 (2 points) Using dimensional analysis, which one of the following equations is dimensionally correct? In these equations, x has units of meters, t has units of seconds, v has units of meters per second, and a has units of meters per second squared. t^2=x / a x=a t v=2 a x x=v / t

For the given function, (a) find the slope of the tangent line to the graph at the given point; (b) find the equation of the tangent line. f(x)=x^2-8 at x=2 (a) The slope of the tangent line at x=2 is . (b) The equation of the tangent line is .

Find the discriminant to determine the number of roots, then solve the quadratic equation using the quadratic formula. x^2+x-2=0 discriminant number of roots solution a. 0 b. -1 and 2 c. -9 d. 9 e. 2 f. 1 g. 1 and -2

L= ( 1 0 0 0 1 1 0 0 -3 -1/2 1 0 2 0 -2 1 ) U= ( -1 2 3 1 0 4 -3 5 0 0 1/2 -9/2 0 0 0 12 )

Consider the following linear equation. y = -3x - 2 Step 1 of 2: Determine the slope and the y-intercept (entered as an ordered pair) of the equation above. Reduce all fractions to lowest terms.

The domain of (f ∘ g)(x) in interval notation is.

Determine whether the following statement is true or false. We graph (y=sin x+5 cos x) for (0 leq x leq 2 pi) by adding x -coordinates. Is the statement true or false? A. False. We graph (y=sin x+5 cos x) for (0 leq x leq 2 pi) by multiplying the (y)-coordinates by 5. B. False. We graph (y=sin x+5 cos x) for (0 leq x leq 2 pi) by multiplying the (x)-coordinates by 5. C. True. D. False. We graph (y=sin x+5 cos x) for (0 leq x leq 2 pi) by adding (y)-coordinates.

x-y+z-w=1 y+2 z+w=1 -z+w=3 -x+2 y-3 z+5 w=1 x=, y=, z=, w=

After completing his trip Marcos recorded that he had traveled for 2 hours and 17 minutes on Interstate 17 (without stopping) for a distance of 155 miles. a. Marcos did not travel at a constant speed on this drive. Which graph could represent how Marcos' distance traveled (in miles) and the number of hours since he left Phoenix change together? Blue b. Determine Marcos' average speed for the 155 -mile trip. miles per hour

Problems For Problems 1-8, determine whether the given matrices are in reduced row-echelon form, row-echelon form but not reduced row-echelon form, or neither. 1. [0 1; 1 0]. 2. [1 1; 0 0]. 3. [1 0 2 5; 1 0 0 2; 0 1 1 0]. 4. [1 0 -1 0; 0 0 1 2; 0 0 0 0]. 5. [1 0 1 2; 0 0 1 1; 0 0 0 1; 0 0 0 0].

Determine the infinite limit. lim x -> -8^- (x+7)/(x+8) ∞ -∞

Find the volume of this right rectangular prism.

∫ 5x √(5x^2-5) dx

Below are two triangles. segment BC= segment KL angle C= angle L angle B= angle K Based on the information given about the triangles, what method could be used to prove the two triangles are congruent? a. SAS b. ASA c. The triangles cannot be proven congruent. d. SSS

What is 8% of 425 coins?

For a segment of a radio show, a disc jockey can play 5 records. If there are 7 records to select from, in how many ways can the program for this segment be arranged?

Find an equation for the line with the given properties. Vertical line; containing the point (-8,1) x=1 x=-8 y=-8 y=1

Solve the equation for (x). [ 6 x-1+3=17 ] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (square) . (Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate B. The solution set is (varnothing).

f(x) = 7/10 sin(3(x - 3π/4)) ?

The graph of x^2 + (y-2)^2 = 4 has center with coordinates

18. Find the radius of the circle shown below.

The formula for the standard deviation of a sample is: s = sqrt((1/(n-1)) * sum from i=1 to n of (Xi - Xbar)^2) Select the true statement for the following data set that has a mean of 6.75: 4,6,7,10 Answer choices are rounded to the hundredths place. - The variance is 2.50 and the standard deviation is 6.50. - The variance is 6.25 and the standard deviation is 2.50. - The variance is 4.71 and the standard deviation is 2.17 - The variance is 6.75 and the standard deviation is 6.25

Decide whether the relation defined by the graph to the right defines a function, and give the domain and range. Does the graphed relation define a function? Yes No What is the domain of the graphed relation? (Type your answer in interval notation.)

graph of one complete period of a cosine curve is given. (a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.) (b) Write an equation that represents the curve in the form y= x cos (k(x-b))

lim as x approaches 2 from the positive side of 1/(x-2)

Compute the given integral. [ int frac1x^2+49 d x= ] +C

What is the area of this figure? Write your answer using decimals. Use 3.14 for π. square miles

Finding x- and y-intercepts of a line given the equation: Basic Find the x-intercept and y-intercept of the line. 2 x-5 y=10 x-intercept: y-intercept:

Write the expression as a sum, difference, or product of simpler logarithms. log6(5k) = □

The frequency distribution below summarizes the home sale prices in the city of Summerhill for the month of June. Determine the width of each class. Round to the nearest whole number as needed. Sale Price (in thousand ) Frequency 80.0-110.9 2 111.0-141.9 5 142.0-172.9 7 173.0-203.9 10 204.0-234.9 3 235.0-265.9 1 A. 28 B. 61 C. 31 D. 30

Evaluate the integral. [ int0^infty 2 x e^x^2 d x ]

A graphing calculator is recommended. Use the Squeeze Theorem to show that the limit as x approaches 0 of x^2 cos(12 pi x) = 0. Illustrate by graphing the functions f(x)=-x^2, g(x)=x^2 cos(12 pi x), and h(x)=x^2 on the same screen. Let f(x)=-x^2, g(x)=x^2 cos(12 pi x), and h(x)=x^2. Then ? ≤ cos(12 pi x) ≤ ? => ? ? ≤ x^2 cos(12 pi x) ≤ ? . Since the limit as x approaches 0 of f(x) = the limit as x approaches 0 of h(x) = 0 , by the Squeeze Theorem we have the limit as x approaches 0 of g(x) = 0

Evaluate f(-3) where f(x) is the piecewise function graphed below. f(-3)=

Simplify the expression -5r + 4r/4 - 5s + 2rs given r=2, s=-4.

What is the area of this figure? Write your answer using decimals. Use 3.14 for π. square meters

If the figure below is rotated 90 degrees counter-clockwise, what is the radius of the circle that has a center at (0,0) and intersects both F and F'?

The data below represents the number of T-shirts sold per week by a student who started his own online Tshirt business. Find the mean number of T-shirts sold per week. (Round your answer to the nearest tenth if necessary.) T-Shirts Sold per Week Frequency 2 7 4 3 6 1 8 6 Mean =

5.729 × 10^2 6.84 × 10^2

If a box with a square cross section is to be sent by a delivery service, there are restrictions on its size such that its volume section (in inches). (a) Is V a function of x? Yes, V is a function of x. No, V is not a function of x. (b) If V=V(x), find V(11) and V(23). (If V is not a function of x, enter DNE.) V(11)=3872 V(23)=4232 in^3 (c) What restrictions must be placed on x (the domain) so that the problem makes physical sense? (Enter your answer)

Question 2 of 3 (1 point) I Question Attempt 1 of 1 ≡ 1 2 3 Find the critical value tα / 2 needed to construct a confidence interval of the given level with the given sample size. Round the answer to at least three decimal places. Level 98%, sample size 24 . Critical value =

Graph the function. What is the period of the function? y=cos(1/8)x

Fifty pro-football rookies were rated on a scale of 1 to 5, based on performance at a training camp as well as on past performance. A ranking of 1 indicated a poor prospect whereas a ranking of 5 indicated an excellent prospect. The following frequency distribution was constructed: Rating Frequency ------ 1 4 2 16 3 14 4 18 5 4 a-1. How many of the rookies received a rating of 4 or better? Number of rookies a-2. How many of the rookies received a rating of 2 or worse? Number of rookies b-1. Construct the corresponding relative frequency distribution. (Round your answers to 2 decimal places.) Rating Relative Frequency ------ 1 2 3 4 5

What is the greatest common factor of 16 and 24?

What is the y-intercept in the graph of the line 3x+2y=8?

Find the sample variance and standard deviation. 18,12,5,8,11 Choose the correct answer below. Fill in the answer box to complete your choice. (Type an integer or a decimal. Round to one decimal place as needed.) A. σ²= B. s²=

Solve the quadratic inequality. Write the solution set in interval notation. x^2 - 8x ≤ -13

f(x) = (x^5 + 2) / 4

The equation written in slope-intercept form is . The slope is . The y-intercept is (Write your answer as an ordered pair.)

Which measurement has the fewest number of decimal places (digits to the right of the decimal point)? 89.332 1.1 SUBMIT

Functions Part 2 of 2 Let f=(6,1),(-6,6),(1,1). Find (a) f(1) and (b) f(6). (a) f(1)=1 (b) f(6)=

Express the percent as a decimal. 0.9 %

Evaluate the indefinite integral given below. [ int frac14sqrt49-4 x^2 d x ]

The cost C, in millions of dollars, of producing q items is given by C=4.1+0.002 q. Interpret the 4.1 and the 0.002 in terms of production. Interpretation of 4.1: NOTE: Check all the correct interpretations. The 4.1 represents the fixed cost of 4.1 million. The 4.1 represents the fixed cost of 4.1. The 4.1 is the cost of producing zero units. The 4.1 is the cost in million of producing zero units.

Perform the indicated operations simplify. Add: (18-25 i)+(20+12 i) sum = □ Subtract: (18-25 i)-(20+12 i) difference = □

If (a=-1) and (b=-2), evaluate: [ a-bleft[(a-b)^2-(a+b)right] ]

Solve the equation. x^2 - 3x = 40 x=[?] Enter the smallest answer first.

The local police department gathered speeds of drivers on a road with a speed limit of 35. They tabulated the speeds of drivers over a 24 hour period, then averaged those speeds by the time of day. Results are provided in the table below. Calculate the average speed driven on this road. Round your answer to the nearest tenth. Time of Day Percent of Drivers Speed (in mph) 12am-5:59am 9% 39.9 6am-11:59am 26% 32.4 12 pm-5: 59 pm 41% 34.6 6 pm-11: 59 pm 24% 44.3

As a bowling instructor, you calculate your students' averages during tournaments. In 5 games, one bowler had the following scores: 143,156,172,133, and 167. What was the bowler's average?

Find the quotient. 7 ÷ 2 3/4 Write your answer as a mixed number.

8/(7x+7) = 5/(x+1) - 3/7 a. What is/are the value or values of the variable that make(s) the denominators zero? x=

Convert the following decimals to percents. 0.008=0.8 % 0.31=31.0 % 9.1=910.0 % 0.05=

A company orders boxed lunches from a deli, which all cost the same price. The relationship between the number of boxed lunches ordered, x, and the total cost in dollars of the lunches, y, is represented by a graph drawn in the xy-plane. If the point (9,108) lies on the graph, what does the ordered pair ( 9,108 ) indicate? 9 lunches that cost 108.00 each 108 lunches that cost a total of 9.00 108 lunches that cost 9.00 each 9 lunches that cost a total of 108.00

Triangle Q T U is congruent to triangle R S U. Complete the proof that triangle Q R T is congruent to triangle R Q S. 1. Triangle Q T U is congruent to triangle R S U - Given 2. Line segment Q T is congruent to line segment R S 3. Line segment Q U is congruent to line segment R U - CPCTC 4. Line segment S U is congruent to line segment T U 5. Angle Q T U is congruent to angle R S U - CPCTC 6. Q S equals Q U plus S U - Additive Property of Length 7. R T equals R U plus T U - Additive Property of Length 8. Q S equals R U plus T U - Substitution 9. Q S equals R T - Transitive Property of Equality 10. Triangle Q R T is congruent to triangle R Q S

Convert Metric Units: 2. (1 point) 1250 m = km

The volume of a container is reported as 3.49 ft^3. What is the volume in units of in^3?

Evaluate. 13! / (5!(13-5)!) The answer is . (Type an integer or a simplified fraction.)

Wachesaw Manufacturing Incorporated produced the following number of units in the last 16 days. 27, 27, 27, 28, 27, 25, 25, 28, 26, 28, 26, 28, 31, 30, 26, 26 The information is to be organized into a frequency distribution. Click here for the Excel Data File Required: a. How many classes would you recommend? Number of classes b. What class interval would you suggest? Note: Round your answer to 1 decimal place. Class interval

A boat travels a total distance of 150 km in a time of 20 hours. iii Calculate the average speed of the boat. iv For more than half of the time that the boat was travelling, its speed was 12 km/h. Explain the difference between this speed and your answer to (part i). [Total: 6]

Let f(x) = 1/(x-6) and g(x) = 3/x + 6. Find the following functions. Simplify your answers. f(g(x))= g(f(x))=

Use these diagrams to answer this three part question. Interpret a circular or rectangular region as regions as the number. Enter the label of the graph that represents the number. If there is no graph that represents the number. Give the letter of the sketch that represents 2/3 : Hn-3 Give the letter of the sketch that represents 7/8 : B Give the letter of the sketch that represents 2 5/8 : A.

f(x)=10-x^2, x ≥ 0 f^(-1)(x)=

Find lim as x approaches 49 of (√x-7)/(x-49)

Use factoring to solve the quadratic equation. Check by solving x^2 - 4x - 21 = 0 The solution set is .

The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of a building is given by s=-16 t^2+585. (a) Find the average velocity on the interval [4,5]. ft / s (b) Find the instantaneous velocities when t=4 and when t=5. s'(4)= ft / s s'(5)= ft / s (c) How long will it take the dollar to hit the ground? (Round your answer to two decimal places.) s (d) Find the velocity of the dollar when it hits the ground. (Round your answer to one decimal place.) ft / s

Using the matched-pairs data below, calculate sd where di = Yi - Xi. Xi 14.36 15.63 18.80 16.95 19.52 16.41 14.24 14.59 Yi 17.47 17.92 16.86 16.47 17.37 18.58 20.14 17.34 Round your answer to the nearest thousandths. Answer =

Solve for x. AC=22, BC=x+14, and AB=x+10 Find x.

Name: Dilations Problems 1-2 Use the dilation rule written in coordinate f 1. Identify the scale factor and center of dilation from the dilation rule. (x, y) → (3(x+4)-4,3(y+3)-3) Scale factor: Center of dilation:

Use f(x)=3x-2 and g(x)=5-x^2 to evaluate the expression. (a) f(f(2)) (b) g(g(3))

Analyze the distribution of faculty numbers across different class boundaries: Number of College Faculty The number of faculty for a variety of private colleges that offer only bachelor's degrees is listed below in a frequency distribution. Class boundaries Frequency 76.5-111.5 3 111.5-146.5 6 146.5-181.5 5 181.5-216.5 4 216.5-251.5 3 251.5-286.5 3 286.5-321.5 2 321.5-356.5 0 356.5-391.5 1 Total 27

Explain the difference between descriptive and inferential statistics. Choices the correct answer below. B. Descriptive statistics offers conclusions about the sets of data based on sampling. Inferential statistics summarizes the information revealed in data sets. C. Descriptive statistics is a characteristic or property of an individual experimental unit. Inferential statistics is the process used to assign numbers to variables of individual population units. D. Descriptive statistics describes sets of data. Inferential statistics draws conclusions about the sets of data based on sampling.

Custom Office makes a line of executive desks. It is estimated that the total cost for making x units of their Senior Executive model is represented by the following function, where C(x) is measured in dollars/year. C(x)=104 x+80000 (a) Find the average cost function C̄. C̄(x)= (b) Find the marginal average cost function C̄ ' C̄'(x)= (c) What happens to C̄(x) when x is very large? lim x → ∞ C̄(x)= Interpret your results. This value is what the production level approaches if the average cost per unit is very high. This value is what the average cost per unit approaches if the production level is very high. This value is what the average cost per unit approaches if the production level is very low. This value is what the production level approaches if the average cost per unit is very low.

In which of the following situations is the probability calculated empirically? - A customer satisfaction survey reveals that 270 of the 300 respondents were satisfied with their service, so the estimated customer satisfaction rate is 90%. - A doctor believes that there is a 90% chance his patient will survive a procedure. - A professor has assigned a C grade to 10 of the first 25 exams she graded, so the estimated probability that the next exam will get a C is 40%. - Out of 1000 fans at a rock concert, 600 are male, so if a random person gets called to the stage, the probability that that person will be male is 60%. - A city with 100,000 people has 30,000 Caucasians, so the probability that a random person in this city is Caucasian is 30%.

Find the slope, if it exists, of the line. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. m=□ (Type an integer or a simplified fraction.) B. The slope is undefined.

3x+5<6 or 8x-2>10

Find the domain and range of the function graphed below. Domain: [-3,2] Range: [-4,4]

What does the .05 level of significance mean? That the relationship between X 1 and Y is significantly (.05) strong. That we will reject the Null (HO) Hypothesis That the results are generalizable All the above are correct Only A B (the first two answers) are correct

Sabendo que x · y=15, quanto vale (x-y)^2-(x+y)^2 ? Escolha uma opção: a. 48 b. 16 c. -16 d. -48 e. -60

Units in Zn. Let n be a positive integer. Let [a] in Zn. (a) Let [a] in Zn with gcd(a, n)=1. Using Bezout's Identity we can find integers x and y so that ax+ny=1. Explain how [a] and [x] are related in Zn. (b) Prove that if gcd(a, n)=1, then [a] is a unit in Zn. (c) Prove that if [a] is a unit in Zn, then gcd(a, n)=1. (Hint: Is the converse of Bezout's Identity ever true?) (d) Correctly complete the biconditional statement: Let n in N, and let [a] in Zn. Then [a] is a unit in Zn if and only if ...

Find the value of (p) for which the quadratic equation (p x^2-4 p x+2-p=0) has equal roots

Correct An auto dealer would like to determine if there is a difference in the braking distance (the number of feet required to go from 60 mph to 0 mph) of two different models of a high-end sedan. Six drivers are randomly selected and asked to drive both models and brake once they have reached exactly 60 mph. The distance required to come to a complete halt is then measured in feet. The results of the test are as follows. Can the auto dealer conclude that there is a significant difference in the braking distances of the two models? Use α=0.01. Let the braking distances of Model A represent Population 1 and the braking distances of Model B represent Population 2. Braking Distance of High-End Sedans (Feet): Driver 1 2 3 4 5 6 Model A 151 145 150 158 158 151 Model B 153 145 151 160 159 151

Solve the compound inequality: (6 leq 2 x-8<14). Enter the exact answer in interval notation. To enter ∞, type infinity. To enter ∪, type U.

You need to arrange four of your favorite books along a small shelf. How many different ways can you arrange the books, assuming that the order of the books makes a difference to you? ways (Type a whole number.)

A car company claims that its new SUV gets better gas mileage than its competitor's SUV. A random sample of 35 of its SUVS has a mean gas mileage of 16.7 miles per gallon (mpg). The population standard deviation is known to be 0.9 mpg. A random sample of 42 competitor's SUVs has a mean gas mileage of 16.4 mpg. The population standard deviation for the competitor is known to be 0.6 mpg. Test the company's claim at the 0.02 level of significance. Let the car company's SUVs be Population 1 and let the competitor's SUVs be Population 2.

(a) The sensitivity of a diagnostic test is its ability to correctly give a positive result when a person tested has the disease, or P (positive test disease). Find the sensitivity of the dog cancer-detection test for lung cancer. Give your answer to four decimal places. P(positive test disease) = 0.9810 Correct Answer (b) The specificity of a diagnostic test is the conditional probability that the subject tested doesn't have the disease, given that the test has come up negative. Find the specificity of the dog cancer-detection test for lung cancer. Give your answer to four decimal places. P(no disease negative) =

c^2-81 c^2-81=square

Counting and Probability Experimental and theoretical probability Lashonda rolled a number cube 500 times and got the following results. Outcome Rolled: 1, 2, 3, 4, 5, 6 Number of Rolls: 89, 75, 92, 69, 91, 84 Answer the following. Round your answers to the nearest thousandths. (a) From Lashonda's results, compute the experimental probability of rolling a 1. (b) Assuming that the cube is fair, compute the theoretical probability of rolling a 1.

CONNECTING CONCEPTS The measure of an angle is 6° less than the measure of its complement. Identify and solve an algebraic equation. x+(x+6)=90 x+(x-6)=90 x+(x+6)=180 x+(x-6)=180 Find the measure of each angle.

After reviewing my data set from week 2, I've right clicked on my trendline to open more options. I then selected format trendline to open the format trendline options. Once that was opened, I've checked the display equation on chart box and the display R-squared value on chart. After reviewing my R-squared value, I need to find R. I then put the value of my R-squared 0.3659 in my calculator and pressed the square root button to get ( 0.605 ). Finding the correlation coefficient ( R ) allows me to determine if my regression is positive, negative, or neither on a -1,0,1 scale. By having an R=0.605, it's closer to the 1 value giving it a strong correlation. It makes sense. When I first completed my scatter plot it already showed an upward trend meaning it is positive. The 10 -yeas r-old boys were pretty close to the trendline proving it's strength. Honestly, at first all I had was the graph and trendline to show what's already shown. Now, with having a number tied to the correlation allows me to compare it even better. You can even make it into a percentage 100% through -100%. So, if I were to make mine into a percentage it will give me 60%. The strength of the correlation of Y being the weight in pounds and X being the height in inches correlate to 60%. I'm interested to learn and see what else we can do. What more information can we pull from the value already given?

Determine the following limits. A) lim as theta approaches 0 of (1-cos(theta))/(sin(theta)) B) lim as theta approaches 0+ of (sin(theta))/(1-cos(theta)) C) lim as theta approaches 0- of (sin(theta))/(1-cos(theta)) D) lim as theta approaches 0 of (sin(theta))/(1-cos(theta))

Logan bought 5 / 9 gallons of apple juice. If he drank 2 / 5 of this amount with his friends, how many gallons of apple juice did they drink? 17 / 18 11 / 9 2 / 45 2 / 9

Find all real solutions of the equation. (Enter your answers as x^3-3 x^2+x-3=x^2+1

Find all real solutions of the equation. 7 = √(3x - 2) x = □

Divide. 0 / -10

Use the formulas developed in this section to find the area of the figure. A=

Reduce the following rational number to its lowest terms. 774/602=

Find the area between the curves. y=x^2-30, y=5-2x The area between the curves is □ (Type an integer or decimal rounded to the nearest tenth as needed.)

By taking natural logarithms of both sides of the equation, solve the equation 2 e^(3 x) = 11 Give your answer as a decimal number to three significant figures.

Non-Linear Relation complete y-intercept and these parabola the equations for 1 y=2 x^2+□ y=-1 / 2 x^2+ □

6.6 HW Log Exponential Equations Question 12, 6.6.39 HW Score: 38.1 % Part 1 of 2 Points: 0 of 1 Solve the following logarithmic equation. Express irrational solutions in the exact form and as decimals. 2 log4(x+1)=5 log4 3+log4 9 The solution set is . (Use a comma to separate answers as needed. Simplify your answers. Type exact answers, using radicals as needed.)

A paint manufacturer uses a machine to fill gallon cans with paint (1 gal = 128 ounces). The manufacturer wants to estimate the mean volume of paint the machine is putting in the cans within 0.7 ounce. Assume the population of volumes is normally distributed (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 0.84 ounce. (b) The sample mean is 127 ounces. With a sample size of 7 a 90% level of confidence, and a population standard deviation of 0.84 ounce, does it seem possible that the population mean could be exactly 128 ounces? Explain.

(int frac11+x^2 dx)

Sketch the interval (a, b) on the x-axis with the point c inside. Then find the largest value of δ>0 such that for all x, 0<x-c<δ implies a<x<b. a=1/8, b=1/3, c=1/4

Simplify: (2-2^2)^3/2

Aisha bought a rectangular patch of land that is 75 meters long and 47 meters wide. What is the area of the land? 2,835 square meters 35,250 square meters 3, 525 square meters 122 meters

The graph of y=f(x) is graphed below. What is the end behavior of f(x)?

Round the following as indicated: - Tenth Hundredth Thousandth - 76.9913 77.0 76.10

Resolva os somatórios: i X i 1 5 2 9 3 -4 4 -2 5 1 6 0 7 12 a) sum from i=1 to 3 of (xi) b) sum from i=1 to 7 of (xi)^2-1 c) sum from i=1 to 5 of (xi+8)' d) sum from i=1 to 3 of (sqrt(xi)) e) sum from i=1 to 6 of (xi / 12)

Solve for (x) (z=2x-3y)

List the fractions and decimals in order from least to greatest. 1. 3/4, -7/10, -3/4, 8/10 2. -0.3, 0.5, 0.55, -0.35

Find the slope of the tangent line to the graph of the function at the given point. h(t)=t^2+6 t, (1,7) Use the limit process to find the derivative of the function. f(x)=5 f'(x)=

Quizzes Solving Multi-Step Equations Assess Solving Multi-Step Equations / Started: Sep 1 at 7:12pm Quiz Instructions Solve each equation: Question 8 SOLVE the equation below. 7-14 m=2 m-5 m=-4/3 m=-3/4 m=4/3 m=3/4

(3x^2-2x)(3x^2+2x)= □ (Simplify your answer.)

Question 2 For each of the following, determine if the given value is a solution to the equation. a. Is x=12.6 a solution to 2.9x+1.46=23.41+x ? Select an answer b. Is b=-2.2 a solution to 3.5x+4.3=2.1x+1.22 ? Select an answer

3/4 x=13

Use the order of operations to find the value of the following expression. (-8)-3(-4) (-8)-3(-4)= (Simplify your answer. Type an integer or a fraction.)

Find the real solutions of the following equation. (4 x-4)^(1/3)=-4

Which statement applies to this conversion: " 6 tsp is equivalent to 30 mL "? 1 teaspoon is equivalent to 5 milliliters. Milliliter is a household unit of measurement. There are 30 milliliters in 3 teaspoons. Teaspoon is a metric unit of measurement.

Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim x → 9- csc (πx/2)

Solve the quadratic equation by completing the square. 36. x^2 + 6x + 2 = 0 37. 9x^2 - 12x = 14

Dan paid 498.09 (including sales tax) for a laptop computer. The sales tax in his state is 7%. What was the price of the laptop before the sales tax was added? 463.25 469.75 472.00 465.50

Solve by using the quadratic formula. (Enter your ans w=1/w^2 - 4/w + 3 = 0

Thinking - Fall 2024 - 21337 List all the subsets of the given set. 0 The subsets are . (Use a comma to separate answers as needed.)

Put the fractions in order from greatest to least. 3/8 7/8 6/8 5/8

Solve the formula for the specified variable. D=1/3 f k for k k=

Consider the following relation. y=3x-3 Step 1 of 2 : Find four points contained in the inverse. Express your values as an integer or simplified fraction.

A local garden is in the works to help promote sustainability and healthy eating. It would go in a rectangular garden. The measurements for the garden are to be 30 feet long and 20 wide. The garden will also include a 2-foot-wide walking path that is part of the larger community effort. Questions to Solve 1. Find the area of garden(in sq ft)? 2. How many parts (area in square feet) the garden has including walking path? 3. The total length of the garden with walking path (in feet) 4. If the community wishes to convert this total area in addition to the walking path into square meters, what is its base? (1 square foot =0.092903 square meters) 5. Perimeter of garden (in feet)

Consider the function: h(x) = 5x^3 + 5x^2 + 4x + 3 Find the value of h(5).

A colony of bacteria has a total weight which varies according to (w(t)=15.5 e^0.5 t) (weight in Newtons, time in hours). Find the average weight of the colony over the interval [1, 5]. (Round your answer to two decimal places.) Find a value (c) in ([1,5]) such that (w(c)) attains this average. (Round your answer to two decimal places.) c=3.32

Complete the following Truth Table p q r p ∧ ~q ∨ ~r TTT (a) TT (b) TFT (c) TF (d) FT (e) FT (f) FFT (g) FF (h)

Procedures for assuring the confidentiality of personally identifiable information contained in educational records are established and implemented by the. A.federal government B.district C.state

Solve the equation and check the solution. If applicable, tell whether the equation is an identity or a contradiction. -9x+6-5(x-1)=-5x-(8x-3)+5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is . (Type an integer or a simplified fraction.) B. The solution set is all real numbers, so the equation is an identity. C. The solution set is ∅, so the equation is a contradiction.

Given f(x), find g(x) and h(x) such that f(x)=g(h(x)) and neither g(x) nor h(x) is solely x. f(x)=3/(3x+4)

Calculate the volume of liquid in the tank sketched below. Give your answer in liters, and round to the nearest 0.1 L.

f(x) = cos(2x) on [-π/4, π/4]

Part 3 of 4 (b) n-8 ≤ -6 and 3/4 n < -3 The solution set is .

Sets (A, B), and (C) are subsets of the universal set (U). These sets are defined as follows. (U=f, g, h, p, q, r, x, y, z) (A=f, g, p, x) (B=g, h, x, y) (C=p, r, x, y, z) Find (C cap(B cup A)^prime). Write your answer in roster form or as (varnothing). (C cap(B cup A)^prime=)

A binomial experiment with probability of success p=0.6 and n=6 trials is conducted. What is the probability that the experiment results in exactly 2 successes? Do not round your intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.)

Use the properties of radicals to simplify each expression. (a) sqrt(48) * sqrt(3) (b) sqrt[6]((7 x^2)^6)

Watch the video and then solve the problem given below. Click here to watch the video. Describe how the graph of g(x)=x-4 can be obtained from one of the basic graphs. Then graph the function. Select the correct choice below and fill in the answer box to complete your choice. A. Start with the graph of y= Shift it up 4 units. B. Start with the graph of y= Shift it down 4 units. C. Start with the graph of y= Shrink it horizontally by a factor of 4 . D. Start with the graph of y= Shift it left 4 units.

Evaluate the following expressions. a. 2/3 × 5/8 b. 1/2 + 1/10 a. 2/3 × 5/8 = 5/12 (Type an integer or a simplified fraction.) b. 1/2 + 1/10 = (Type an integer or a simplified fraction.)

Shade A ∩ B′.

Question 6 of 6 This quiz 6 point(s) possible This question: 1 point(s) p Determine whether the graph is that of a function by using the vertical-line test. In either case, use the graph to find the following. (a) The domain and range (b) The intercepts, if any (c) Any symmetry with respect to the x-axis, y-axis, or the origin C. Yes, the graph is a function because every vertical line intersects the graph in more than one point. D. No, the graph is not a function because a vertical line x=pi/2 intersects the graph at two points. (a) The domain is . (Type your answer in interval notation.) The range is . (Type your answer in interval notation.) (b) Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. The intercepts are (-pi, 0),(0,0),(pi, 0). (Type an ordered pair. Type an exact answer, using pi as needed. Use a comma to separate answers as needed.) B. There are no intercepts. (c) Select all that apply. A. It is symmetrical with respect to the x-axis. B. It is symmetrical with respect to the y-axis. C. It is symmetrical with respect to the origin. D. The graph is not symmetrical.

Consider the following frequency table representing the distribution of hourly wages for first jobs of a certain population. Hourly Wage at First Job Class Frequency -- 5.3-6.3 4 6.4-7.4 8 7.5-8.5 6 8.6-9.6 11 9.7-10.7 5 Determine the cumulative frequency for the fourth class.

Solve the equation. x^(3 / 2) = 64 Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The solution set is . (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) B. The solution set is the empty set.

Find the data value that represents the 24th percentile, P24, from the following data 1200 1400 1600 1900 2600 2700 3000 3100 4600 4700 4900 5100 5300 5400 5500 5900 6000 6100 6200 6500 6700 6800 6900 7300 7400 7800 8100 8400 8500 8600 8700 P24=

Suppose f(x)=3x^2-x+9. Compute the following: A.) f(-1)+f(4)= B.) f(-1)-f(4)=

What is the derivative of the function f(x)=e^[(x+1)^2] ?

Consider the following. Function Slope ------ y=x^2+8x m=-10 Determine the point(s), if any, at which the graph of the given function has a tangent line with the given slope. (If an answer does not exist, leave the space blank.)

How many solutions are there to the system of equations (y=-3 x^2+2) and (y=4 x^2+3) ? (Enter DNE if the answer doesn't exist.)

Express the ratio in lowest terms. (Enter your answer i 91/65

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