Write the exponent for 4^? = 64 What number is the question mark? *

Can someone please help me with question 9

nataly862011 [7]

There are 24 oranges and 36 apples.

Each basket has to have the same number of fruit

So lets say that each basket will have exactly one orange and apple.

To get the maximum number of baskets, we have to use either all of the apples or all of the oranges.

You can't have 36 baskets, because you only have 24 oranges, even though there are enough apples.

But you can 24 baskets, because there are enough apples and oranges.

So you can use all of the oranges to make 24 baskets (and you'll be left with 12 apples)

Answer: F. 24.

4 0

3 years ago

Ethan put $150 into a CD that pays 3% interest, compounded monthly. According to the rule of 72, approximately how long will it

SSSSS [86.1K]

Hi there

The rule of 72 is
72/rate=time
72÷3=24 years

Hope it helps

7 0

3 years ago

Read 2 more answers

What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4

KatRina [158]

You can use the fact that a number raised to negative powers can be written as 1 divided by that number raised to positive number.

The value of the given expression when m = -5 and n= 3 is $-\dfrac{2}{5}$

<h3>How can we rewrite a number raised to negative power?</h3>

Suppose we've got $a^{-b}$ . then it can be rewritten as

$a^{-b} = \dfrac{1}{a^b}$

It is because $a^0 = 1$ for any a except 0, and that $\dfrac{a^0}{a^b} = a^{0-b} = a^{-b}$

If base are same and there is multiplication, then there will be addition in power.

Also, know the fact that if base are same and there is division, there will be subtraction in power(subtracting since that denominator when goes up, its power gets negated(gets negative sign to the existing power)

Thus,

$a^b \timesa ^c = a^{b+c}\\\\\dfrac{a^b}{a^c} = a^{b-c}$

<h3>Using above method to simplify the given expression before evaluating</h3>

The given expression is $\dfrac{2m^{-1}n^5}{3m^0n^4} = \dfrac{2n^5}{3m^0m^1n^4} = \dfrac{2n^5}{3mn^4} = \dfrac{2n^{5-4}}{3m} = \dfrac{2n^1}{3m} = \dfrac{2n}{3m}$

Putting m = -5 and n=3, we get:

$\dfrac{2\times 3}{3 \times -5} = -\dfrac{2}{5}$

Thus,

The value of the given expression when m = -5 and n= 3 is $-\dfrac{2}{5}$

Learn more about base and exponent(power) here:

brainly.com/question/847241

4 0

3 years ago

Write x squared + 2x-8 in the form (x + m) squared + n where m and n are integers.

skelet666 [1.2K]

Let F(x) = x^2 + 2x -8

Adding 1 and - 1 at equation

F(x) = x^2 + 2x + 1 - 1 -8

Rewrinting the first 1 = 1^2

F(x) = x^2 + 2x + 1^2 - 1 - 8

Now look:

x^2 + 2x + 1^2 = ( x + 1)^2

Then,

F(x) = (x + 1)^2 -1 -8

F(x) = (x + 1)^2 -9

This is the answer !

If us to want.

(x + 1)^2 -9 = ( x+1)^2 - 3^2

= ( x+ 1 -3).(x +1 +3)

= ( x - 2).(x +4)

7 0

4 years ago

If the outliers are not included, what is the mean of the data set?

Aleksandr-060686 [28]

The mean of the data without the outliers will be B 65.

6 0

4 years ago