MATHEMATICS HIGH SCHOOL

Find the exact volume of the sphere use alt +227 or pi for pi as needed
Find the exact volume of the sphere use alt +227 - 1

Answers

Answer 1
Answer:

Answer: The volume of the sphere is 113.04 in^3

Step-by-step explanation:

For a sphere of radius R, the volume is written as:

V = (4/3)*pi*R^3

where pi = 3.14159265...

We can use pi = 3.14

Here we can see that the radius of the sphere is 3 inches, then the volume of the sphere is:

V = (4/3)*3.14*(3 in)^3 = 113.04 in^3

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Which function has an inverse that is a function? b(x) = x2 + 3
d(x) = –9
m(x) = –7x
p(x) = |x|

Answers

On the attached diagram you can see all graphs of functions b(x), d(x), m(x) and p(x).

Finding the inverse of a function f(x):

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y. This is the step where mistakes are most often made so be careful with this step.

4. Replace y with f^(-1)(x). In other words, you’ve managed to find the inverse.

5. Remember: the domain of f is the range of f^(-1) and the range of f is the domain of f^(-1).

Using this algorithm, you can find the inverse only in case C:

for m(x)=-7x:

1. y=-7x.

2. x=-7y.

3. y=-x/7.

4. m^(-1)(x)=-(x)/(7).

5. The domain and the range of m(x) are all real numbers as well as the domain and the range of m^(-1)(x).

Functions b(x) and p(x) are not one-to-one functions (see attached diagram), then you can't find an inverse function. Function d(x) doesn't include x, then you can't also find an inverse function.
Hello,

Answer C

y=-7x ==>x=-7y==>y=-x/7 is the inverse of m(x)
======================

How many solutions does the following equation have?|6x + 12| = −18

No solution

One solution

Two solutions

Infinitely many solutions

Answers

Hello,

|x|>0 !!!! ==>0 solution

Evan will spend $835.90 for new carpeting. He has $765.00 in the account linked to his debit card. The bank charges $5 penalty fee, per day, for using his debit card to make purchase if he doesn't have enough funds in his account. What will he pay altogether if he chooses to use his debit card and doesn't put any more money in his account for 3 days?

Answers

Either way, he still has to pay his 835.90. the additional fee is 5 per day and he does'nt pay the rest in 3 days so thats $15.

$835.90 + 15 = $850.90

I NEED HELP ASAP!!!Question: Which equation applies the associative property of multiplication?

Answers

i’m not 100% but from what i know i think it’s (C.)

An estimated 3 out of every 25 men are left-handed. What percent of men are left-handed?

Answers

3/25=x/100
25x=300
300/25=x
x=12%

Answer:

12%

Step-by-step explanation:

Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 14 years?

Answers

Answer:3400

Step-by-step explanation:

Final answer:

To find the amount of money in the account after 14 years with continuous compound interest, we can use the formula A = P * e^(rt), where P is the principal amount, e is Euler's number, r is the interest rate per year, and t is the number of years. Substituting the values into the formula, we find that the final amount in the account is approximately $3831.

Explanation:

To find the amount of money in the account after 14 years, we can use the formula for continuous compound interest, which is given by the formula:

A = P * e^(rt)

A is the final amount in the account (what we're trying to find)

P is the principal amount (the initial investment of $2,500)

e is Euler's number (approximately 2.71828)

r is the interest rate per year (2.1% or 0.021)

t is the number of years (14)

Substituting the values into the formula:

A = $2500 * e^(0.021 * 14)

Using a calculator, we can find that the final amount in the account is approximately $3831.

Learn more about Compound Interest here:

brainly.com/question/32594953

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