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3 years ago

Which of the following best describes T in the general formula for an exponential function, which is shown below?

Mathematics

1 answer:

Marina86 [1]3 years ago

4 0

Answer:

A. Time

Step-by-step explanation:

The general formula for an exponential function is shown below:

$F(t) = Ao.b^{kt}$

where,

Ao = Initial amount

b = growth factor i.e come (1 + r)

r = growth rate

k = Constant

T = Time

Therefore the T describes the time

Hence, the first option is correct

To determine any of the above variable we simply used the above formula so the chances of thh correct answer could be high

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The maximum weight allowed per car on The Twister carnival ride is 263 pounds. Your friend weighs 86 pounds. To be able to ride

Kazeer [188]

Your weight: x lb
Friend's wt.: 86 lb
Max wt. allowed: 263 lb

Then x + 86 ≤ 263, with x in lb. You could weigh a max. of 177 lb and still be able to go on this ride.

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3 years ago

How can you rewrite the expression (8-5i)^2 in the form a+bi?

otez555 [7]

(a-b)^2 = a^2-2ab+b^2

(8-5i)^2 = 8^2-2(8)(5i)+(5i)^2

= 64-80i+25i^2

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So

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=64-25-80i

= <em><u>39 - 80i</u></em>

which is your answer :)

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3 years ago

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faust18 [17]

$6.\\\text{We know}\ 9=3^2.\ \text{Therefore}\\\\9^2=(3^2)^2\\\\\text{use}\ (a^n)^m=a^{nm}\\\\9^2=(3^2)^2=3^{2\cdot2}=3^4\\\\\boxed{3^4=9^2}\\=================$

$7.\\METHOD\ 1:\\\\\sqrt{7^4}=\sqrt{7^{2\cdot2}}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(7^2)^2}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=\boxed{7^2}\\\\METHOD\ 2:\\\\\text{use}\ a^\frac{m}{n}=\sqrt[n]{a^m}\\\\\sqrt{7^4}=7^\frac{4}{2}=\boxed{7^2}\\=================$

$8.\\5^a\times5^b=5^{11}\\\\a)\\\text{use}\ a^n\times a^m=a^{n+m}\\\\5^a\times5^b=5^{a+b}\\\\5^{a+b}=5^{11}\Rightarrow a+b=11\\\\11\ \text{is odd. The sum of even and odd is odd. Therefore}\ a\ \text{and}\ b\ \text{can't be even.}\\--------------------\\\\b)\\5\ \text{solutions}\\\\11=5+6\\11=4+7\\11=3+8\\11=2+9\\11=1+10$

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2 years ago

The perimeter of a rectangular construction site is 124 meters. The width is eight meters more than 5 times the length. Find the

tresset_1 [31]

Answer:

The perimeter of a rectangle is the sum of both lengths and both widths, which is equal to 54 meters. Let's call Length L and Width W.

The question is saying this: L = 3 meters + 3(W). We have 2 variables, which means we need at least 2 equations to solve. So far we have one, our second equation is from the perimeter.

2 lengths + 2 Widths = 54. Now, it's just a plug and chug.

2(3 + 3W) + 2W = 54.

6 + 6W + 2W = 54

8W = 48

W=6

L = 3 + 3(6) = 21

To double check: 2(21) + 2(6) = 42 + 12 = 54

The Width is 6 meters, and the Length is 21 meters.

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2 years ago

I need help with this question asap!

Tpy6a [65]

Answer:

x=15

Step-by-step explanation:

This is an equilateral triangle. That means all sides are equal and all angles are equal

An equilateral triangle has angle measurements of 60 degrees

60 =4x

Divide each side by 4

60/4 = 4x/4

15 =x

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2 years ago