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3 years ago

12

How to do this and I need help pls

1 answer:

tatuchka [14]3 years ago

7 0

Answer:

$9$

Step-by-step explanation:

$f(x) = (x - 2)^{2} \\ f(5) = (5 - 2)^{2} \\ f(5) = {(3)}^{2} \\ f(5) = 3 \times 3 \\ f(5) = 9$

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It takes Hank 40 minutes (2/3 hours) to mow a lawn. Penny can mow the same size lawn in 30 minutes (1/2 hour). Hank and Penny fo

andrew-mc [135]

Answer:

2 hours

Step-by-step explanation:

Given: It takes Hank $40$ minutes $\frac{2}{3}$ hours to mow a lawn. Penny can mow the same size lawn in $30$ minutes $\frac{1}{2}$ hours. Hank and Penny form a small lawn care company and have contracts for $7$ lawns of the same size previously mentioned.

To Find: How long should it take both of them working together to mow the $7$ lawns.

Solution:

Time taken by Hank to mow the lawn $=\frac{2}{3}$ $\text{hour}$

Time taken by Penny to mow the lawn $=\frac{1}{2}$ $\text{hour}$

Total lawns to be mowed $=7$

Let time taken by Hank and Penny to mow one lawn $=\text{T}$

$\frac{1}{\text{time taken by Hank}}+\frac{1}{\text{time taken by Penny}}=\frac{1}{\text{Time taken by both to mow one lawn}}$

$\frac{1}{\frac{2}{3}}+\frac{1}{\frac{1}{2}}=\frac{1}{\text{T}}$

$\frac{7}{2}=\frac{1}{\text{T}}$

$\text{T}=\frac{2}{7}$

time taken to mow $7$ lawns $=7\times\text{time taken to mow one lawn}$

$=7\times\frac{2}{7}$

$=2$ $\text{hour}$

Hence it will take $2$ $\text{hours}$ by Hank and Penny to mow $7$ lawns

5 0

3 years ago

How do I evaluate (1/9)^3

andrey2020 [161]

Answer:

1/729

Step-by-step explanation:

(1/9)^3

1/9×1/9×1/9

1/729

4 0

3 years ago

Find the value for the side marked below.

KatRina [158]

Answer:

167.7

Step-by-step explanation:

210cos(37)=167.7134571

just type it in a calculator

7 0

3 years ago

A soda company produces 12 oz cans of soda. The mean volume is 12 oz with a

Lena [83]

Answer:

456

Step-by-step explanation:

11.5 oz would be 2 standard deviations below the mean... z -score = -2 = .0228 (from Z-Score table)

22.8% of 2000 = 456

7 0

2 years ago

Determine whether the relation is a function. Explain why or why not.

Vitek1552 [10]

This relation is a function. This is because no x value is repeated, so it passes the vertical line test.

Here is an example of where a relation is NOT a function:

{(2, 5), (3, –5), (2, 5), (5, –5)}

Hope this helps!

3 0

3 years ago