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2 years ago

Question 15(Multiple Choice Worth 1 points)

Mathematics

1 answer:

Sphinxa [80]2 years ago

5 0

In f(x) = 16(0.75)x the (0.75) does not have a 1 so it is decreasing and if it is only 75% of 16 then it would be losing 25% each time So the exponential decay will be 25%.

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1.Simplify 5 to the 5th over 5 to the 8th.

timurjin [86]

Q1. The answer is 1 over 5 to the 3rd power.

5 to the 5th is 5⁵
5 to the 8th is 5⁸
5 to the 5th over 5 to the 8th is $\frac{ 5^{5} }{ 5^{8} }$
To simplify, we will use two rules:
$\frac{ x^{a}}{ x^{b} } = x^{a-b} \\ x^{-a} = \frac{1}{ x^{a}}$
Therefore:
$\frac{ 5^{5} }{ 5^{8} } = 5^{5-8} =5^{-3}= \frac{1}{5^{3}}$
$\frac{1}{5^{3}}$ is the same as 1 over 5 to the 3rd power.

Q2. The answer is (53)−4.

The exponents are multiplied when are expressed in the form:
 $(x^{a}) ^{b}= x^{a*b}$
So, $(5^{3} )^{-4}=5^{3*(-4)}=5^{-12}$

Other choices are incorrect:
one third to the 4th times one third to the 7th is $( \frac{1}{3} )^{4} *( \frac{1}{3} )^{7}=( \frac{1}{3} )^{4+7}$
3 to the 7th over 3 to the 15th is $\frac{ 3^{7} }{3^{15}} =3^{7-15}$
45 ⋅ 42 is $4^{5}* 4^{2} = 4^{5+2}$

3 0

2 years ago

Read 2 more answers

PLEASE HELP ME!!! 25 points!!!

aliya0001 [1]

1. In algebra, like terms are terms that have the same variables and powers.

2. What is combining like terms? We call terms "like terms" if they have the same variable part.

3. Polynomials form a system similar to the system of integers, in that polynomials are closed under the operations of addition, subtraction, and multiplication. CLOSURE: Polynomials will be closed under an operation if the operation produces another polynomial. ... Polynomials are closed under subtraction.

Hope this helps

7 0

3 years ago

Kelly bought a new car for $20,000. The car depreciates at a rate of 10% per year. Write an equation to model the car’s value. U

Citrus2011 [14]

Answer:

P=P'(1-R/100)^T

Where P = Final price

P'=Initial price

T=Time

R=Rate of Depreciation.

5 0

2 years ago

explain how you would find the height of the rectangular prism if you know that the volume is 60 cubic centers in the area of th

nikdorinn [45]

You take 60 and divide it by 10 which is 6 so the height would be 6

3 0

3 years ago

Read 2 more answers

If 59% was 2687 what is 29% of the unmentioned number?

wariber [46]

Answer:

2687

2687×100/59=4554.2

29×4554.2/100= 2686.97 aprox. 2687

6 0

3 years ago