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3 years ago

16. Which is greater, 4^-2 or 2^-4? How do you know? Those are exponents.

Mathematics

1 answer:

gladu [14]3 years ago

4 0

Answer:

Both are equal to $\frac{1}{16}$

Step-by-step explanation:

If the exponent is negative we can turn it into a fraction and make it positive.

This means the number goes to the denominator and the numerator becomes one. Therefore the following.

$4^{-2} = \frac{1}{4^{2} } =\frac{1}{16}$

$2^{-4} =\frac{1}{2^{4} } = \frac{1}{16}$

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Translating a sentence into a multi-step equation

Kryger [21]

Answer:7x-4= 3

Step-by-step explanation:

4 less than the product of 7 and a number is equal to 3.

The answer is 7x-4= 3 beacuse:

(a. whenever you have something less than , the first number in the sentence (in this cacse 4) goes after the second number (in this case 7) with a subtraction sign in the middle. (imagine this equation looking like 7-4 for now).Thats a little trick i use whenever i have to write "something less than something"

(b. okay so now we know it has to be 7 times somethig -4=3, but now we just need to write the "product of 7 and a number" in proper form. in other words, whenever you get somethig times a number, it is always going to be that number with an x right next to it. so thats why i made it 7x.

(c. "equals 3" is easy because you just turn it into an "=3".

(d. Now put it together. "4 less than the product of 7 and a number is equal to 3." becomes 7x-4=3.

Hope this helps :)) Also brainliest would be appreciated, worked pretty hard on this ! :D

5 0

1 year ago

HELP! I WILL NOT TAKE SPAM ANSWERS! IF U SEND ME AA LINK I'M GONNA GET MAD!

abruzzese [7]

Answer:

29/48

Step-by-step explanation:

3 5/8 Divided By 6= 29/48

Dividing fractions is simple if you know what to do, and how to multiply.

Here's how:

-----------------------------

1. convert any whole number or mixed number into a fraction.

6 = 6/1.

Whole number x denominator + numerator = 29/8

(3) (8) (5) (answer/original denominator)

-----------------------------

2. Keep, Change, Flip (KCF)

29 1

__ x __

8 6

With KCF, we keep the first fraction, change the division to multiplication, and flip the second fraction.

---------------------------------------

3. Multiply numerators and denominators

29 x 1 = 29

8 x 6 = 48

29/48 is in it's simplest form.

Hence, your answer.

<h2>Each wired piece was 29/48 of a yard.</h2><h2 /><h2 /><h2 /><h3>P.S - Please let me know if i made any mistakes.</h3>

7 0

2 years ago

Multiply or divide to find two equivalent fractions of 1/2

patriot [66]

Answer:

3/6 and 5/10

Explanation:

Given the fraction 1/2:

(a)Multiply the numerator and denominator by 3

$\frac{1}{2}\times\frac{3}{3}=\frac{3}{6}$

An equivalent fraction is 3/6.

(b)Multiply the numerator and denominator by 5:

$\frac{1}{2}\times\frac{5}{5}=\frac{5}{10}$

An equivalent fraction is 5/10.

4 0

1 year ago

Read 2 more answers

A scientist has 100 milligrams of a radioactive element. The amount of radioactive element remaining after t days can be determi

grandymaker [24]

The mass of the first shipment at time t is
$m_{1}=100( \frac{1}{2} )^{ \frac{t}{10}}$

The mass of the second shipment at time t is
$m_{2}=100( \frac{1}{2} )^{ \frac{t-3}{10} }$

At time t, the ratio of m₁ to m₂ is
$\frac{m_{1}}{m_{2}} = \frac{100}{100}. \frac{(1/2)^{t/10}}{(1/2)^{(t-3)/10}} \\ = \frac{(1/2)^{t/10}}{(1/2)^{t/10}}. \frac{1}{(1/2)^{-3/10}} \\ = (1/2)^{3/10} \\ = 0.8123$

Therefore as a percentage,
$\frac{m_{1}}{m_{2}} =100*0.8123 = 81.23 \%$

Answer: B. 81.2%

4 0

3 years ago

Rx+9/5=h solve for x

Vika [28.1K]

When solving the equation, you first have h- 9/5. So it would by x=(h - 9/5). But you are not done yet. you still have to divide it by R to get x. So the final equation is x=(h - 9/5) ÷ R

7 0

3 years ago