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3 years ago

15

What number is 70% of 60? (Use only whole numbers)

2 answers:

Travka [436]3 years ago

7 0

42 is 70% of 60........

uysha [10]3 years ago

7 0

X = (70/100) × 60 just plug that in ur calculator

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What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.

elena-s [515]

Given:

The height of a golf ball is represented by the equation:

$y=x-0.04x^2$

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

$y=x-0.04x^2$

Differentiate with respect to x.

$y'=1-0.04(2x)$

$y'=1-0.08x$

For critical values, $y'=0$ .

$1-0.08x=0$

$-0.08x=-1$

$x=\dfrac{-1}{-0.08}$

$x=12.5$

Differentiate y' with respect to x.

$y''=(0)-0.08(1)$

$y''=-0.08$

Since double derivative is negative, the function is maximum at $x=12.5$ .

Substitute $x=12.5$ in the given equation to get the maximum height.

$y=(12.5)-0.04(12.5)^2$

$y=12.5-0.04(156.25)$

$y=12.5-6.25$

$y=6.25$

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

7 0

3 years ago

Rita is saving up $15,000 to put a down payment on a condominium. if she starts with $8000 saved and saves an additional $850 ea

gavmur [86]

If she starts with $8000, she has only $7000 to go.This is reduced by $850 per month.
$7000 - $850x

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3 years ago

Which of the following is a prime number? 61 39 27 76

Zolol [24]

61 is the prime number.

39 is divisible by 3 and 13.
27 is divisible by 9 and 3.
76 is divisible by several numbers, including 2.

7 0

3 years ago

Read 2 more answers

Kendal ate 27 1/2 cookies in 5 1/2 minutes. How many cookies does she eat per minute?

hjlf

Answer:

5

Step-by-step explanation:

Kendall needs to lay off of the cookies lol

5 0

3 years ago

Read 2 more answers

Let Z={a,c,{a,b}}. What is |Z|?

Lina20 [59]

$Z=\{a,c,\{a,b\}\}$

$\boxed{|Z|=3}$ (treat $\{a,b\}$ as one element of $Z$ )

The power set of $Z$ is

$\boxed{2^Z=\bigg\{\{\},\{a\},\{c\},\big\{\{a,b\}\big\},\{a,c\},\big\{a,\{a,b\}\big\},\big\{c,\{a,b\}\big\},\big\{a,c,\{a,b\}\big\}\bigg\}}$

1. $\{a,c\}\subseteq Z$ is true because both $a\in Z$ and $c\in Z$ .

2. $a\in Z$ is true.

3. $\{c\}\subseteq Z$ is true (same reason as part 1).

4. $\{c\}\in Z$ is false because $Z$ does not contain the set $\{c\}$ , rather just the element $c$ itself.

5. $b\in Z$ is false because the element $b$ on its own simply is not in $Z$ . That $b\in\{a,b\}$ does not mean $b\in Z$ , but that $b$ belongs to a subset of $Z$ .

6. $\{a,b\}\in Z$ is true.

6 0

3 years ago