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3 years ago

(-5)^-4. a) 20. b)-625 c) 1/625. d. - 1 / 625

Mathematics

1 answer:

Tpy6a [65]3 years ago

4 0

$(-5)^{-4}= \frac{1}{(-5)^4} = \frac{1}{(-5)(-5)(-5)(-5)} = \frac{1}{625}$
<span>c) 1/625</span>

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Haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. How many 1/6 foot cubic boxes can she fit int

alexandr402 [8]

Answer: 28 cube boxes.

Step-by-step explanation:

The volume of a cube can be found with this formula:

$V_{(c)}=s^3$

Where "s" is the lenght of any edge of the cube.

You need to find the volume of a cube box:

$V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3$

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction. To do it, multiply the whole number part by the denominator of the fraction and add this product to the numerator.

The denominator does not change.

Then:

$1\ \frac{1}{6}=\frac{(1*6)+1}{6}=\frac{7}{6}$

Knowing the dimensions of the shipping box, you can calculate its volume by multiplying its dimensions. Then, this is:

$V_2=(\frac{7}{6}\ ft)(\frac{1}{3}\ ft)(\frac{1}{3}\ ft)=\frac{7}{54}\ ft^3$

Finally, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube:

$\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28$

5 0

3 years ago

Points M and N on the coordinate grid below show the positions of two midfield players of a soccer team:Which statement best des

pogonyaev

N is M reflected across the y-axis; only the signs of the x-coordinates of M and N are different.

<u>Step-by-step explanation:</u>

In question no statements are available , below statements are the required one:

N is M reflected across the x-axis; only the signs of the x-coordinates of M and N are different: N is reflected over y-axis not x-axis so, this option itself is wrong!
N is M reflected across the x-axis; only the signs of the y-coordinates of M and N are different: N-M is reflected over y-axis not x-axis , so this option is also wrong.
N is M reflected across the y-axis; only the signs of the x-coordinates of M and N are different: N-M are reflected over y-axis correct and sign of only x co-ordinate is changed as Co-ordinates are $M(-2,-2.5)$ and $N(2,-2.5)$ .Hence, this statement is correct!
N is M reflected across the y-axis; only the signs of the y-coordinates of M and N are different. N-M is reflected over y-axis , and sign of only x co-ordinate is changed not y . False statement.

We can see that point Correct statement is 3.

5 0

3 years ago

Kevin is 333 years older than Daniel. Two years ago, Kevin was 444 times as old as Daniel.

astra-53 [7]

Answer:

Kevin=335.8years old

Step-by-step explanation:

K - D = 333

K - 2 = 400( D - 2 )

333 + D - 2 = 400D - 800

D - 400D = - 800 - 331

- 399D = - 1130

D = 2.8

K = 333 + 2.8

K = 335.8

8 0

3 years ago

On a website, listeners rate music from 1 star to 5 stars. One song was rated 1 star by 3.5% of the listeners. There were 49 lis

defon

Answer:

1400

Step-by-step explanation:

3.5% of listeners rated the song as 1 star

49 listeners rated the song as 1 star

49 listeners = 3.5% of listeners

we want to find 100% of listeners. we can do this by multiplying both sides of the equation by 100/3.5, getting one side to 100% and the other to what it is equal to

49 * 100/3.5 listeners = 100% of listeners = 1400

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3 years ago

54 hours to 2 days write in simplest form

const2013 [10]

54-48=6 is your answer

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4 years ago