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3 years ago

Simplify this expression using the properties of powers

Mathematics

2 answers:

statuscvo [17]3 years ago

5 0

2h to the 6th power!!

alina1380 [7]3 years ago

4 0

2 to the 6th power is the correct one

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3600 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the

Arlecino [84]

Answer:

31043.09

Step-by-step explanation:

Kinda feel bad for the last person who answered! They were way off but still you need to learn from your mistakes! Welp this answer is STRAIGHT OFF THE BACK from delta MATH! So this IS correct! If this helped click the stars and the heart to help fellow students, educators, etc. Understand this answer is for certain correct! I would add the steps but there is alot!

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3 years ago

A car rents for $35 per day plus 18cents¢ per mile. you are on a daily budget of $71. what mileage will allow you to stay with

Butoxors [25]

200 miles
$71-$35=$36 left in budget
$36/.18 per mile= 200 miles

6 0

3 years ago

Let f(x) = cx^k be a power function such that f(13) is four times the size of f(1). What is the power k?

Ivenika [448]

Answer:

0.540

Step-by-step explanation:

Hi there,

To get started in order to solve this, please recall the property of logarithms.

This question is a bit tricky, but doable. Best way to solve this is first compare the two functions:

$f(x) = cx^{k} \\ f(13)=4f(1)$

Now, let's see what the function gives at 13 and 1:

$f(13)=c13^{k}\\f(1)=c1^{k}$

Something to recognize is that 1 to the power of <em>anything</em> is just 1, so f(1) is reduced to:

$f(1)=c$ We are making progress!

Next, we can set both f(13) forms equivalent to each other, watch this:

$f(13)=f(13) = 4f(1)$ but we know what f(1) is equal to, and let's substitute our knowns:

$c13^{k}=4c1^{k} = 4c$ the c constant on both left and right side cancel out:

$13^{k}=4$ Now, take the logarithm form of both side of the equation. I used natural log, but you can also use common logs:

$ln(13^{k})=ln(4)$ ⇒ $k*ln(13)=ln(4)$ this was performed using <em>the power log rule. </em>

Isolate k:

$k=\frac{ln(4)}{ln(13)} =0.540$ using a calculator.

If you liked this solution, hit Thanks or give a rating!

thanks,

8 0

2 years ago

If a plane figure is made up from eight unit blocks and it is three units tall what is the maximum length of the figure

STALIN [3.7K]

Answer:

Step-by-step explanation:

the maximum length is 5 . The 3 tall takes away from the 8 and then your left with 5.

mark brainliest :)

5 0

2 years ago

Please help meeeeeeeeeeee

zmey [24]

Answer:

Identifying and Writing Equivalent Rates

Ratios compare two quantities. A rate is a type of ratio that compares two quantities that have different units of measurement. The word “per” is often used to describe rates.

Rates can be written as fractions. The first quantity is the numerator and the second quantity is the denominator. Different rates that have the same value are equivalent rates. You can find an equivalent rate the same way you find equivalent ratios—divide or multiply the numerator and the denominator by the same number.

Step-by-step explanation:

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2 years ago