The equation 9t = 27.99 models a constant rate situation. HURRY PLZ

Mathematics

2 answers:

MatroZZZ [7]3 years ago

8 0

9t = 27.99
5t = ?
Cross-multiply : 9t? = 139.95t
?=15.55

bezimeni [28]3 years ago

5 0

Here, 9t = 27.99
So, t = 27.99 / 9
t = 3.11

Now, 5t = 5 * 3.11 = 15.55

In short, Your Answer would be Option B

Hope this helps!

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F(x)=1/2(x-2)(x+3)^3

KatRina [158]

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Step-by-step explanation:

5 0

3 years ago

Can someone explain the process getting from:

spin [16.1K]

$\rm 5=e^{3b}$

The unknown b is stuck in the exponent position.
We can can fix that by using logarithms.
Log is the inverse operation of the exponential.

We'll take log of each side.
Log of what base tho?

Well, the base of our exponential is e,
so we'll take log base e of each side.

$\rm log_e(5)=log_e(e^{3b})$

We'll apply one of our log rules next:
$\rm \log(x^y)=y\cdot\log(x)$

This allows us to take the exponent out of the log,

$\rm log_e(5)=(3b)log_e(e)$

Another thing to remember about logs:
When the base of the log matches the inside of the log,
then the whole thing is simply 1,
$\rm log_{10}(10)=1$
$\rm log_5(5)=1$
$\rm log_e(e)=1$

So our equation simplifies to this,

$\rm log_e(5)=(3b)\cdot1$

As a final step, divide both sides by 3,

$\rm \frac13log_e(5)=b$

k, hope that helps!

6 0

3 years ago

Grant spent 2.50,$4.00,$4.25, and $3.25?On breakfast one week.The next week he spent $6 more in total for the 4 breakfasts than

masha68 [24]

We have been given that Grant spent $2.50, $4.00, $4.25, and $3.25 on breakfast in one week. The next week he spent $6 more in total for the 4 breakfasts than the week before. We are asked to find increase in the mean of second week.

Since Grant spent $6 more than last week, we will divide 6 by 4 to get how much mean of second week breakfast expenditures increased with respect to first week expenditures.

$\text{Mean increase in second week breakfast expenditure}=\frac{6}{4}$