All categories

1 year ago

What is the volume of the cylinder? Use 3.14 for T.

Mathematics

1 answer:

Klio2033 [76]1 year ago

5 0

Answer:

251.2

Step-by-step explanation:

V=πr²h

3.14×4²×5

You might be interested in

Please answer 3 question I will mark as brainlest

Vlad1618 [11]

Answer:

The mode is 7

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Esteban wants to take out a $5,000 loan from the bank and is offered two choices. If he pays the loan back within 3 years, he wi

castortr0y [4]

Answer:

ESTEBAN IS FOKING BROKE

Step-by-step explanation:

8 0

2 years ago

A car can travel 24 miles for every 1 gallon of gasoline.

jasenka [17]

The car can travel 235.2 miles on 9.8 gallons. Just multiply 24 by 9.8.

5 0

2 years ago

Four diners have ordered a platter of desserts. The platter holds 8 chocolate chip cookies and 4 slices of chocolate cheesecake.

Furkat [3]

Answer:

$P(Y>1 \cap Y$

And we can find this probability like this:

$P(Y>1 \cap Y$

And we can replace the values and we got:

$P(Y>1 \cap Y$

Step-by-step explanation:

For this case we define the random variable Y as: the number of slices of cheesecake left on the platter after the first serving. And we have the following distribution for Y:

Y | 0 1 2 3 4

P(Y) | 0.005 0.114 0.429 0.381 0.071

And we want to find the following probability:

$P(Y>1 \cap Y$

And we can find this probability like this:

$P(Y>1 \cap Y$

And we can replace the values and we got:

$P(Y>1 \cap Y$

3 0

2 years ago

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

7 0

2 years ago