There are 20 students in the drama club. Next year, 5 students will leave the drama club and some students will join. If d is the number of students who will join the drama clibz write an expression to represent the total number of students in the drama club next year.

Answer:

Cost of Material per square foot = $1.7

Step-by-step explanation:

Given:

Length = 24

Width = 12

Height = 6.5

Find:

Cost of Material per square foot

Computation:

TSA of pit = 2[bh + hl] + lb

TSA of pit = 2[(12)(6.5) + (24)(6.5)] + (24)(12)

TSA of pit = 2[78+156] + 288

TSA of pit = 756 square foot

Cost of Material per square foot = 1,285.20 / 756

Cost of Material per square foot = $1.7

Answer:

432 inches.

Step-by-step explanation:

The formula for finding the area of a triangle is;

[tex]\frac{b*h}{2}[/tex]

Using this, we can find the area of each individual piece.

[tex]\frac{6*6}{2} =18[/tex]

Now that we have this, we simply multiply 18 by 24, which gives us 432.

Answer:

See solutions below

Explanation

We are to find the equation of circle A and B

The equation of a circle is expressed as;

(x-a)^2 + (y-b)^2 = r^2

(a, b) is the centre and r is the radius

For Circle A that has center of (6, 7), and a radius of 4

Substitute;

(x-6)^2 + (y-7)^2 = 4^2

(x-6)^2+(y-7)^2 = 16

Hence the equation of circle A is (x-6)^2+(y-7)^2 = 16

For circle B:

If circle B has a center of (2, 4), and a radius of 16

The equation is expressed as;

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

(x-2)^2+(x-4)^2 = 256

Hence the required equation is (x-2)^2+(x-4)^2 = 256

Answer:

70 i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

18+12+9

Answer:

756 cm^2

Step-by-step explanation:

9 x 12 = 108 triangles

9 x 18 = 162 back side

9^2 + 12^2 = c^2

9^2 + 12^2 = 225

9^2 + 12^2 = 15^2

length of the hypotenuse is 15 so

15 x 18 = 270 slanted top

18 x 12 = 216 bottom

216 + 270 + 162 + 108 = 756 cm^2

Answer:

The answer is 3.

Step-by-step planation:

All you have to do is find the 2 points and it looks like this:

(-2,-3) , (0,3)

3- -3 /0- -2   = 6/2 = 3

Answer:

The equation in the standard form of the line through the given points is;

y = 3x - 17

Step-by-step explanation:

We start by getting the slope of the line;

m = (y2-y1)/(x2-x1)

m = (7-10)/(8-9) = -3/-1 = 3

The stands equation form is;

y = mx + b

m is slope, b is the y-intercept

so we have

y = 3x + b

To get b, we substitute the coordinates of any of the points

10 = 3(9) + b

10 = 27 + b

b = 10-27

b = -17

So the equation is;

y = 3x - 17

Answer:

9+2=x/2

11=x/2

11×2=x

x=22

Answer:

8) x=9

10) 23 degrees

Step-by-step explanation:

8) vertical angles are congruent to each other so we can set the expressions as such and solve:

7x + 3 = 10x - 24

3 = 3x - 24

27 = 3x

9 = x

10) since the angles are complementary they equal 90 degrees, so we can set the expression like this and solve for x:

12x + 7 + 6x - 7 = 90

18x + 7 - 7 = 90

18x = 90

x = 5

now we plug it back into the expression equivalent to the measure of angle O:

6(5) -7

30 - 7

23 degrees

Answer:

A = -17

Step-by-step explanation:

F(5) = -4(5) + 3

F(5) = -20 + 3

F(5) = -17

Answer:

D. 23

Step-by-step explanation:

f(-5) = -4(-5) + 3

= 20 + 3

= 23

therefore f(-5) is 23

Answer:

As "x" increases "y" *decreases*

y as a function of x is not *constant*

Therefore the function is *nonlinear*

For all values of x, the function value y *≥* 0.

The y intercept of the graph is *8*

x=1 function value of y is *5*

Answer:

Okay so this is the best way to explain it, its already in y=mx+b form which is the easiest way to graph something, its where m= slope and b=the y-intercept  so 1/3 is m so the slope is 1/3 but first we need to mark the y coordinate which is 5, so on your graph dot (0,5) then from that go up 1 and right 3 then that should be your graph!!! I've included pictures to help you know what it should look like.

Step-by-step explanation:

Please look at pictures below!! This is the best explanation i could give, Hope this helps!!!

Answer:

y intercept is 10

Step-by-step explanation:

Answer I don't know the answer but i can help you find it out, so basically your going to times 3.14 by the numbers in the circle

Step-by-step explanation:

Step-by-step explanation:

In order to find each one, you use the formula A=pi R², meaning you put the radius to the power of two(multiply it by itself) and then multiply that by pi. ex: 7.4×7.4= 54.76,

next 54.76×3.14=171.9, which is your answer. If it gives you the diameter of the circle, divide that by two to get the radius, and follow the steps from before. Ex: 2.24÷2=1.12, next 1.12×1.12=1.2544, next 1.2544×3.14=3.9, the answer.

answer)

Answer:

Step-by-step explanation:

Someone answer this question please I need help to!

Answer:

the missing numbers be 60 and 6 respectively

Step-by-step explanation:

The computation of the missing numbers are shown below:

Let us assume the missing numbers be x

a/

, [tex]\frac{1}{2} \times 30 = \frac{1}{4} \times x\\\\15 = \frac{1}{4} \times x\\\\x = 60[/tex]

b.

[tex]\frac{1}{3} \times 12 = \frac{2}{3} \times x\\\\4 = \frac{2}{3} \times x\\\\x = 6[/tex]

Hence, the missing numbers be 60 and 6 respectively

Answer:

Step-by-step explanation:

[tex]-8=-\frac32z[/tex]         {swap sides}

[tex]-\frac32z=-8[/tex]         {divide both sides by (-³/₂)}

[tex]z=-8\div(-\frac32)\\\\z=-8\times(-\frac23)\\\\z=-\frac{16}3=-5\frac13[/tex]

Answer: $335,633

Step-by-step explanation:

First find the number of years difference:

= 2025 - 1985

= 40 years

Use the compound interest formula to find the answer:

= Value * ( 1 + rate) ^ no. of years

= 125,000 * ( 1 + 2.5%)⁴⁰

= $335,633

Answer:

29/36pi radians

240 degrees

Step-by-step explanation:

pi  = 180

145/180pi = 29/36pi radians

4/3*180 = 240 degrees

Answer:

1.5

Step-by-step explanation:

Answer:

2 inches per hour

Step-by-step explanation:

2 1/2 hours is equivalent to 150 minutes.

Set up a proportion; let x equal inches of rain

[tex]\frac{5}{150}[/tex]=[tex]\frac{x}{60}[/tex]

Cross multiply -> 150x=300

Divide both sides by 150 to get -> x=2

Given:

The function is

[tex]f(x)=-2x^4-4x^3+x^2+x+3[/tex]

To find:

The graph of the function by using the end behaviors.

Solution:

We have,

[tex]f(x)=-2x^4-4x^3+x^2+x+3[/tex]

The degree of the polynomial is 4 which is even and the leading coefficient is -2, which is negative. So,

[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]

[tex]f(x)\to -\infty\text{ as }x\to \infty[/tex]

It means, the graph of the function approaches to negative infinity on the both ends.

Therefore, the correct option is C.

Answer:

D.  sin 18°

Step-by-step explanation:

sin 18 because 18 + 72 = 90

11.4

Step-by-step explanation: