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2 years ago

A banner is in the shape of a rectangle. It is 15 feet long and 12 feet wide. What is the perimeter?

Mathematics

1 answer:

Effectus [21]2 years ago

3 0

Here....

The length is given 15 feet and the width is 12 feet...Now let's find the Perimeter..

The formula to calculate Perimeter of rectangle is 2 ( l + b )

Perimeter = 2 ( l + b )

= 2 ( 15 + 12 )

= 2 × 27

= 54 feet

$...$

:)...

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Which exponential function is represented by the values in the table?

Goryan [66]

Answer:

$\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x$

Step-by-step explanation:

<u>Exponential Function</u>

The exponential function can be written with the general equation:

$f(x)=A\cdot r^x$

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

$\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x$

$\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0$

$f(0) = 4$

This gives the correct value of f(0)=4.

Substituting in the fourth function:

$\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x$

$\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0$

$f(0) = \frac{1}{2}$

This choice is wrong

Correct choice:

$\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}$

8 0

3 years ago

Select the actions you use to solve 3x = 12. Then select the property that justifies that action.

Travka [436]

X = 4

Use division divide both sides by 3

3x/3 leaves x

12/3=4

Hope it helps

x=4

8 0

3 years ago

The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's future value A, or the total a

Julli [10]

The loan's future value A, or the total amount due at time t is $1105.

Given, P = $1000, r = 3.5%, t = 3 months.

We need to find the loan's future value A.

<h3>What is Simple interest?</h3>

Simple interest is computed on the principal amount of a loan or the first deposit in a savings account. Simple interest does not compound, therefore an account holder will only get interest on the principal, and a borrower will never have to pay interest on previously collected interest.