Questions: (1/2)^3 + 4^(1/2) + (2)^(-1) Qual é o resultado dessa expressão? A 1/8. B 3/6. C 26/16 D 21/8. E 6/2

(1/2)^3 + 4^(1/2) + (2)^(-1) Qual é o resultado dessa expressão? A 1/8. B 3/6. C 26/16 D 21/8. E 6/2
Transcript text: \[ \left(\frac{1}{2}\right)^{3}+4^{\frac{1}{2}}+(2)^{-1} \] Qual é o resultado dessa expressão? A $\frac{1}{8}$. B $\frac{3}{6}$. C $\frac{26}{16}$ D $\frac{21}{8}$. E $\quad \frac{6}{2}$
failed

Solution

failed
failed

Solution Steps

To solve the given mathematical expression, we need to evaluate each term separately and then sum them up. The expression consists of three parts: \(\left(\frac{1}{2}\right)^{3}\), \(4^{\frac{1}{2}}\), and \((2)^{-1}\). Calculate each power and then add the results together to find the final value.

Step 1: Calculate \(\left(\frac{1}{2}\right)^{3}\)

To find \(\left(\frac{1}{2}\right)^{3}\), we raise \(\frac{1}{2}\) to the power of 3: \[ \left(\frac{1}{2}\right)^{3} = \frac{1}{8} = 0.125 \]

Step 2: Calculate \(4^{\frac{1}{2}}\)

The expression \(4^{\frac{1}{2}}\) represents the square root of 4: \[ 4^{\frac{1}{2}} = \sqrt{4} = 2.0 \]

Step 3: Calculate \((2)^{-1}\)

The expression \((2)^{-1}\) is the reciprocal of 2: \[ (2)^{-1} = \frac{1}{2} = 0.5 \]

Step 4: Sum the Results

Add the results from the previous steps to find the total: \[ 0.125 + 2.0 + 0.5 = 2.625 \]

Final Answer

The result of the expression is \(\boxed{2.625}\). The correct answer is not listed among the provided options.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
It can be helpful to give your readers background information on the topic. (A) True (B) False
failedAnswered
A swimming pool holds 480,000 liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in 120 minutes, and the second pipe alone can empty it in 240 minutes. When both pipes are draining together, how long does it take them to empty the pool? minutes
failedAnswered
Based on this worksheet, which statement below is true? A. This family was over budget on spending for clothes. B. This family spent more than they earned. C. The total variable expenditures were more than the planned amount. D. This family spent more on electricity than they expected.
failedAnswered
Pre-Calculus Algebra- SMAT 121S- 003- Fall 2024 (12104) Angela Netter 1.1 Linear Equations Question 5, 1.1.VQ-3 4 correct Part 1 of 2 Points: 0 of 1 Question list Question 1 Question 2 Question 3 Question 4 Watch the video and then solve the problem given below. Find the solution set. Then indicate whether the equation is conditional, an identity, or 21(x-1)=-7(3-x)+14 x Select the correct choice below and fill in any answer boxes present in your choice. A. The solution set is □ B. The solution is the set of all real numbers. C. The solution is the empty set.
failedAnswered
La masa molar del permanganato de potasio (KMnO4) es 158 g / mol. ¿Cuál será la concentración molar de una solución acuosa que contiene 79 g de permanganato de potasio en 100 mL? A) 0.5 mol / L B) 5,0 mol / L C) 7,0 mol / L D) 10,0 mol / L