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Pythagorean Theorem.

Answer:10 in.

Step-by-step explanation:

Given

Volume of box [tex]V=400\ in.^3[/tex]

height of box [tex]h=5\ in.[/tex]

width of box [tex]w=8\ in.[/tex]

Suppose l is the length of box then

Volume of the box is given by

[tex]V=l\times b\times h[/tex]

[tex]V=l\times 8\times 5[/tex]

[tex]400=40l[/tex]

[tex]l=\frac{400}{40}[/tex]

[tex]l=10\ in.[/tex]

Answer:

[tex]length = 10 \: in[/tex]

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Answer:

C. Rewrite the numbers in order from lowest to highest first, then the number in the middle

Step-by-step explanation:

1,2,3,3,4,5,6,7,8

Median: 4

Answer:

The Man must pic 22 Apples.

Step-by-step explanation:

Find the attachments

Answer:

3???

Step-by-step explanation:

Answer:

Choose answers B and D

Step-by-step explanation:

Answer:

Choose answers B and D.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

hope it right not the best with counting

Answer:

The net change is a decrease of 1,280 feet

Step-by-step explanation:

From the question, we understand that the hiking team has a work rate of 320 feet / hour

Now that are descending between the hours 1pm and 5pm, this means that they descended for a total of 4 hours.

Now the total number of feet they have descended will be the number of hours * work rate = 4 hours * 320 feet/hour = 1,280 feet

Thus, the net change is decrease of 1,280 feet

Answer: 20 miles

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:

x^2 = a^2 + b^2

Where x is the hypotenuse of the triangle (in this case the distance between Dayton and Belleville) and a and b are the other sides.

Replacing with the values given:

x^2 = 16^2 + 12^2

x^2 = 256+144

x^2 = 400

x = √400

x = 20 miles

Feel free to ask for more if needed or if you did not understand something.

Answer:

-38

Step-by-step explanation:

Subtract  42  from  4 . Since 42 is negative so will the answer

Answer:

The expression is equivalent to[tex]A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}[/tex] is  [tex]\frac{\sqrt[4]{3}}{2}}\times \frac{\sqrt{x}}{y}[/tex].

Step-by-step explanation:

The expression provided is:

[tex]A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}[/tex]

Simplify the expression A as follows:

[tex]A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}[/tex]

   [tex]=\sqrt[4]{\frac{24}{128}\times x^{(6-4)}\times y^{(1-5)}}\\\\=\sqrt[4]{\frac{3}{16}\times x^{2}\times y^{-4}}\\\\=[\frac{3}{16}\times x^{2}\times y^{-4}]^{1/4}\\\\=[\frac{3}{16}]^{1/4}\times x^{(2\times (1/4))}\times y^{(-4\times (1/4))}\\\\=\frac{\sqrt[4]{3}}{2}}\times x^{1/2}\times y^{-1}\\\\=\frac{\sqrt[4]{3}}{2}}\times \frac{\sqrt{x}}{y}[/tex]

Thus, the expression is equivalent to[tex]A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}[/tex] is  [tex]\frac{\sqrt[4]{3}}{2}}\times \frac{\sqrt{x}}{y}[/tex].

Equivalent expressions are expressions that have equal values

The equivalent expression of [tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}[/tex] is [tex]\frac 1{2y}\sqrt[4]{ 3x^2}}[/tex]

The expression is given as:

[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}[/tex]

Divide 24 and 128 by 8

[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \sqrt[4]{ \frac{3x^6y}{16x^4y^5}}[/tex]

Take 4th root of 16

[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ \frac{3x^6y}{x^4y^5}}[/tex]

Apply law of indices, to simplify the fraction

[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ 3x^{6-4}y^{1-5}}[/tex]

Simplify

[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ 3x^{2}y^{-4}}[/tex]

Rewrite as:

[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ \frac{3x^{2}}{y^4}}[/tex]

Take 4th root of y^4

[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 1{2y}\sqrt[4]{ 3x^2}}[/tex]

Hence, the equivalent expression of [tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}[/tex] is [tex]\frac 1{2y}\sqrt[4]{ 3x^2}}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/15715866

21  girls joined but not singing and 14 girls joined both singing and dancing.

Arithmetic operations can also be specified by the, subtract, divide, and  multiply built-in functions.

Total no. of girls = 45

No. of girls are dancing = 24

No. of girls are singing but not dancing = 10

No. of girl are both singing and dancing = 24-10 = 14

No. of girls are dancing but not singing = 45-24=21

Hence, 21  girls joined but not singing and 14 girls joined both singing and dancing.

Learn more about Arithmetic operations

https://brainly.com/question/25834626

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Answer:

x>0

Step-by-step explanation:

you can also write the expression like

√7x^2

----------

√3x

( I tried making a fraction above if you couldn't tell srry)

Also remember, if you're dividing by something, the denominator cannot be 0. So, a restriction is that x cant be 0. It can't also be negative, besides complex numbers, the root of a negative number is non-existant. So the value of x cannot be below 0. So the answer would be x>0.

X>0 because everything above 0 is positive and this inequality shows that it doesn't include 0 as well.

Ask if u have any more questions! :)

Answer:

6

Step-by-step explanation:

Number of blueberries = 18

Number of strawberries = 3 times less than blueberries

Number of strawberries

Answer: 6 strawberries

Answer:

Actually the answer would be 120.

4.16×48=200

3/5×200=120.

120 people out of five play.

Answer:

The answer is 541.8 cm³

Step-by-step explanation:

you just have to multiply the measures of each side:

(8.8)(4.7)(13.1) = 541.8

Answer:

c

Step-by-step explanation:

Answer: 1. Not always accurate.

2. A football game.

3. By using the data from the winning percentage against number of games played.

Step-by-step explanation:

Meteorologists are responsible for making weather predictions, but their predictions are always not accurate because they use datas and theory to predict the scenarios of the weather or what it might be. Their predictions are not accurate because of changes in weather or data being used unexpectedly.

A scenario where I would use data to make a prediction could be in a football match or game where you i have a percentage of winning, which depends on how many times the game is played.

The winning percentage gives us the data on the probability of winning the game which would help predict how many times you'll win a game by how many times the game is played.

Answer:

A

Step-by-step explanation:

You can factor it as (2x - 1) (6x + 5) = 0

from which answer A follows.

Answer:

the 3rd degree

Step-by-step explanation:

its to the 3rd power

i think

Answer:

784329

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

[tex]10-\frac{54}{6}[/tex]

10-9

1

Answer:

x = -4i and x = 4i, also x = 4

Step-by-step explanation:

Rewrite y = x^3-64 as y = x^3 - 64.  This can again be rewritten, this time as:

y = (x - 4)(x^2 + 16).

Setting this = to 0, we get x - 4 = 0, whose corresponding root is x = 4, and

x^2 + 16), which has two unequal, imaginary roots:  x = -4i and x = 4i.

Answer:

The radius is 14

Step-by-step explanation:

The circumference of the circle is 28 pi

C = 2* pi *r  where r is the radius

28 pi = 2 pi *r

Divide each side by 2 pi

28 pi/2pi = 2 pi *r/2pi

14 = r

Answer:

17/45

Step-by-step explanation:

Answer:

is your brainly working?

Step-by-step explanation:

Answer:

C. 48 [tex]ft^2[/tex]

Step-by-step explanation:

The formula for finding the area of a triangle is:

[tex]\frac{1}{2}bh[/tex]

The "[tex]b[/tex]," is the base (10), and the "[tex]h[/tex]," is the height (9.6), so plug it in:

[tex]\frac{1}{2} (10)(9.6)\\[/tex]

[tex]\frac{1}{2} (96)[/tex]

48 [tex]ft^2[/tex]

Answer:

2.5 years

Step-by-step explanation:

Interest= P×R×T÷100

T= 100I÷P×R

T= 100×400÷8000×2

T= 40000÷16000

T= 5÷2

T= 2.5 years