Simply the expression. (7x^2y^3)^4

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.

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Answer:

As the triangle is right angled ,

sinR = 17/63

Angle R = 15.7⁰

The closest value of the measure of ∠R is,

⇒ ∠R = 15.7°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Right triangle RST is shown below with the dimensions given in feet.

Now, By trigonometric formula;

tan x = Opposite / Adjacent

Here, Opposite side of angle R = 17 ft

And, Adjacent side = 63 ft

Hence, We get;

tan x = Opposite / Adjacent

tan R = 17 / 63

tan R = 1/9

R = 15.7°

Thus, The closest value of the measure of ∠R is,

⇒ ∠R = 15.7°

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Answer:

1, 2, 3, 4, 5, 6, 29, 29, 32, 42, 29, 55

median = 29

Step-by-step explanation:

median is the middle number in a list of numbers from least to greatest.

Answer:

no it is not equal.

Step-by-step explanation:

when you calculate the percentages, you will find  that the increase has 40% while the decrease has about 28.6%

Answer:

No. The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.

Step-by-step explanation:

SAMPLE RESOND

Answer:

List the multiples

1/4,2/4,3/4,4/4

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

1/4=2/8

2/4=4/8

4/4=8/8

Those numbers are the common fractions so they would be the only fractions that both Jack and Jill could get.

Step-by-step explanation:

Step-by-step explanation:

4.5 × 10

= 45

this is the answer

Answer:

8

Step-by-step explanation:

y < mx+c

here  y will be the temperature on any particular winter day, x will be the variable on whixh temperature is dependent  and m will be the gradient.

The temperature must always be less than 8 so c will be 8.

y < 8

8 should be the maximum value of the inequaltiy

Answer:

your anwser is 8

Step-by-step explanation:

Answer:

First one: 5x3(0.75)2t

and fourth one: 0.05x500(0.005)t

Step-by-step explanation:

In order to have an exponencial decay, the rate of the exponencial function needs to be lesser than 1.

The rate is the value between parenthesis, so in the first equation, the rate is 0.75, so this is an exponencial decay.

The second equation has rate = 2.4, so this is not an exponencial decay.

The third equation has rate = 1.04, so this is not an exponencial decay.

The fourth equation has rate = 0.005, so this is an exponencial decay.

Answer:

It's A,C,F

Step-by-step explanation:

I answered it :) and got it right.

Answer:

231.78 lbs

Step-by-step explanation:

total amount of cementis needed= volume of form

volume of form in ft³= length × depth × height

                        = 35.5/12 × 20/12 × 6/12

                           = 2.465ft³

density of cement= 94.01651 lb/ft³

mass of cement= density × volume

                          = 2.465 × 94.01651

                         = 231.78lb

Answer:

if the height of the triangle is 8 in, its side is 9.2379, and this side is also the side of the hexagon, so the perimeter is 6*9.2379 = 55.43 in

Step-by-step explanation:

As the hexagon is regular, each of those triangles will also be regular.

So if the height of one triangle is 8 inches, we can find the side of the triangle with the height formula of a regular triangle:

height = side * sqrt(3)/2

8 = side * 0.866

side = 8/0.866 = 9.2379

The side of the triangle will also be the side of the hexagon. So the perimeter of the hexagon will be:

P = 6 * 9.2379 = 55.43 inches

Answer:

Pr(only one of them will pass the driving test) = 0.38

Step-by-step explanation:

The probability that Ben will pass = 0.8

Let Pr = pribability

Pr(Ben pass) = 0.8

Pr(Ben fail) = 1 - Pr(Ben pass) = 1-0.8

Pr(Ben fail) = 0.2

The probability that Tom will pass = 0.7

Pr (Tom pass) = 0.7

Pr (Tom fail) = 1 - Pr (Tom pass) = 1-0.7

Pr (Tom fail) = 0.3

Pr(only one pass) = Pr(Ben pass and Tom fail) + Pr (Tom pass and Ben fail)

Pr(only one pass) = (0.8 × 0.3) + (0.7 × 0.2)

Pr(only one pass) = 0.24 + 0.14

Pr(only one pass) = 0.38

Answer:0.38

Step-by-step explanation:

Hint

If we define x to be the value of one of the factors, since 1 + 2 + 3 + 4 + 5 ... + 10 = 11(5) = 55, the value of the other factor has to be 55-x.

To maximize P, you'd like to make x as close as possible to the vertex you found. What if you want to minimize P? Remember x must be an integer.

I hope this helps :)

Answer:

(9z+96nz+4n)/12nz

Step-by-step explanation:

3/4n + 8+ 1/3z. distributive property

The required equivalent expression is [9z + 96nz + 4n] / 12nz and the property used is distributive property.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
= 3/4n + (8 + 1/3z)

Using the distributive property for the association,
= 3/4n + 8 / 1 + 1/3z
=  [9z + 96nz + 4n] / 12nz

Thus, the required equivalent expression is [9z + 96nz + 4n] / 12nz, and the property used is the distributive property.

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Answer:

draw a a big L and put your numbers

Answer: A or 3 sqrt 2

Step-by-step explanation:

Answer:

3 sqrt 2

Step-by-step explanation:

Answer:

The answer is 18.4 months.

Answer:

(3x – 6)(-x + 3) = 0

=> 3x - 6 = 0 => x = 6/3 = 2

and

=> -x + 3 = 0 => x = 3

Hope this helps!

:)

Answer:

0.875

Step-by-step explanation:

look at the fraction as a division problem

8÷7

Answer:

6sqrt(2) units

Step-by-step explanation:

Distance² = (-9 - -3)² + (8 - 2)²

Distance² = (-6)² + 6²

Distance² = 36 + 36

Distance² = 72

Distance = 6sqrt(2)

sqrt: square root

i think this is the method for solving it

Step-by-step explanation:

use bodmas

start with multiplication

-4*10 = -40

5+5/2 - 40

addition next

5 + 5/2 = 7.5

7.5 - 40 = -32.5

Answer:

Its 1rst and 3rd

Step-by-step explanation:

I took the assignment. Its correct.

Answer:

1 and 3

Step-by-step explanation:

on edge just got it right :)

Answer:

See attachment

Step-by-step explanation:

Answer:

(B)[tex]\dfrac{1}{m^8}[/tex]

StartFraction 1 Over m Superscript 8 EndFraction

Step-by-step explanation:

We want to find the simplified form of: [tex]m^{-8}p^0[/tex]

[tex]m^{-8}p^0=m^{-8}$ X p^0\\p^0=1\\m^{-8}=\frac{1}{m^8} \\$Therefore:\\m^{-8}$ X p^0=\dfrac{1}{m^8} X 1\\=\dfrac{1}{m^8}[/tex]

The correct option is B.

Answer:

I am 80% sure its 1 if not then its 1/p

Step-by-step explanation:

Answer:

f(x) = 4^x

f(4) = 4^4 = 256

Hope this helps!

:)

the answer is 256 but i am not sure

hope this helps and be safe :)

Answer:

x = -3

In-Depth Steps:

1.) Start with the bottom equation: [tex]x+2y=-3[/tex]

2.) Set [tex]x[/tex] alone on one side of the equal sign. Your equation will look like [tex]3+2y=x[/tex].

3.) Plug [tex]3+2y[/tex] in for [tex]x[/tex] in the first equation. You will get [tex]2(3+2y)+5y=6[/tex].

4.) Distribute. Your equation now looks like this: [tex](6+4y)+5y=6[/tex].

5.) Combine like terms. You will get [tex]6+9y=6[/tex].

6.) Subtract 6 from both sides. You get [tex]9y=0[/tex]. We can learn that Y=0.

7.) Go back to either equation and put 0 in for y.

8.) In the top equation, it would look like [tex]2x=6[/tex] and the bottom equation would look like [tex]x=-3[/tex]. We basically got our answer of [tex]x = -3[/tex], but we will plug it into the [tex]2x=6[/tex] equation, and in-fact, we get x = -3.

Answer:  C

Step-by-step explanation:

when x increases by 1 y increases by 2 and is consistent

hope this helps :3

Answer:

The answer is 5/18

Step-by-step explanation:

The area of a rectangle with side lengths of 5/12 foot and 2/3 foot is 5/18 square feet and this can be determined by using the formula of the area of a rectangle.

Given :

Lengths of 5/12 foot and 2/3 foot.

The area of the rectangle is given by the formula:

A = W [tex]\times[/tex] L

where A represents the area of the rectangle, W represents the width of the rectangle, and L is the length of the rectangle.

So, the area of a rectangle with side lengths of 5/12 foot and 2/3 foot is given by:

[tex]\rm A = \dfrac{5}{12}\times \dfrac{2}{3}[/tex]

Further, simplify the above expression

[tex]\rm Area = \dfrac{10}{36}[/tex]

[tex]\rm Area = \dfrac{5}{18}[/tex]

The area of a rectangle with side lengths of 5/12 foot and 2/3 foot is 5/18 square feet.

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