Answer:
Option B -49
Step-by-step explanation:
-(7^-3)(7^5)
-1/7^3×7^5
-7^2
-49
So option B is correct
1. ![\sqrt[0.4]{29} = 4,528.9236.](https://tex.z-dn.net/?f=%5Csqrt%5B0.4%5D%7B29%7D%20%20%3D%204%2C528.9236.)
2. Jenna bought 4 lbs of apples.
Step-by-step explanation:
Step 1:
If a value x is to be rooted to a value of a, it will be equal to the value of x with an exponential
.
So
.
In the question,
.
Substituting these values in the equation we get,
![\sqrt[0.4]{29} = 29^{\frac{1}{0.4} } = 29^{2.5} = 4,528.9236.](https://tex.z-dn.net/?f=%5Csqrt%5B0.4%5D%7B29%7D%20%3D%2029%5E%7B%5Cfrac%7B1%7D%7B0.4%7D%20%7D%20%3D%2029%5E%7B2.5%7D%20%3D%204%2C528.9236.)
Step 2:
Apples cost $2.75 per pound. Jenna paid $11 for apples.
To calculate how many pounds of apples Jenna bought, we divide the price for which apples were bought by the cost per pound.
The price for which apples were bought = $11.
The cost per pound = $2.75.
The number of pounds bought = 
So Jenna bought 4 pounds of apples.
Answer:
x = 24
y = 8√3
Step-by-step explanation:
This is a special right triangle with angle measures 30° 60° 90°
The side length that sees 90° is represented by 2a, the side length that sees angle 60° is represented by a√3 , and the side length that sees angle 30° is represented by a
16√3 ÷ 2 = 8√3 this is the value of y
8√3 × √3 = 24 this is the value of x
Her pay will be ....
... $2396 × (100% -15% -6.2% -1.45%) -$95
... = $2396 × 0.7735 - 95
... = $1758.31
Answer:
x= -2
Step-by-step explanation:
Simplifying 5x + 45 = 35 Reorder the terms: 45 + 5x = 35 Solving 45 + 5x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 5x = 35 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 35 + -45 5x = 35 + -45 Combine like terms: 35 + -45 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2