The height, in feet, of a t-shirt launched from a t-shirt cannon high in the stands at a football stadium is given by h(x) = -8x^2+ 32x + 40 where x is the time in seconds after the t-shirt is launched.

What is the factored form of the equation for the height of the t-shirt?​

Answer:

x = 3

Step-by-step explanation:

Mathematically, the mean is the sum of the numbers divided by the count of the numbers

The count of the numbers is 5

Thus;

( 4 + 8 + 9 + x + 2x)/5 = 6

(21 + 3x)/5 = 6

21 + 3x = 6(5)

21 + 3x = 30

3x = 30-21

3x = 9

x = 9/3

x = 3

Answer:

Midpoint is (0, -4)

Step-by-step explanation:

x-coordinate of midpoint = (-7 + 7)/2 = 0/2 = 0

y-coordinate of midpoint = (3 - 11)/2 = -8/2 = -4

Midpoint is (0, -4)

Answer:

(0,-4)

Step-by-step explanation:

(x1 + x2/2,  y1 + y2/2)

(-7 + 7/2 ,  3 + -11/2)

(0/2,  -8/2)

(0,-4)

Answer:

90

Step-by-step explanation:

Answer: C. Pyramid

Step-by-step explanation:

A cylinder is kind of like a paper towel roll.

A Rectangular prism is more like a cube.

A cone has a round part on the bottom.

And a Pyramid is this ...

Answer:

5 inches tall i think

Step-by-step explanation:

sorry if its wrong

Answer:

The radius of each base is 4.46 inches.

Step-by-step explanation:

The surface area (SA) of a cylinder is given by:

[tex]SA = 2\pi rh + 2\pi r^{2} = 325[/tex]   (1)

Where:

r: is the radius of each base

h: is the height of the cylinder

Now, the lateral area (LA) is:

[tex]LA = 2\pi rh = 200[/tex]   (2)

Hence, by entering equation (2) into equation (1) we have:

[tex] SA = LA + 2\pi r^{2} [/tex]                  

[tex] 325 = 200 + 2\pi r^{2} [/tex]

[tex] r = \sqrt{\frac{325 - 200}{2\pi}} = 4.46 in [/tex]

Therefore, the radius of each base is 4.46 inches.

I hope it helps you!                                                                

Answer:

Mean:5

Mode: 4

Range: 7

Median: 5

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

4+8x=-12

-4       -4

8x = -16

/8      /8

x   =   -2

Answer:

X=(-2)

Step-by-step explanation:

8(-2)=(-16)

so -16+4=(-12)

Answer:

y = 5/4 x + 9

y = -5x+4

Step-by-step explanation:

a)The equation of the line in slope intercept form is expressed as y = mx+b

m is the slope

b is the intercept

Given

Slope m = 5/4

y-intercpet = 9

Substitute

y = mx+b

y = 5/4 x + 9

b) Given the coordinates (0,4) and (2, -6)

Slope m = -6-4/2-0

m = -10/2

m = -5

Since the y intercept of the line is (0, 4), hence b = 4

Get the equation

Recall

y = mx+b

y = -5x +4

This gives the required equation

Answer:

2 years

Step-by-step explanation:

5%× 600= $30

$30×2=$60

not sure if you will get what I mean but that's how I worked it out.

Answer:

[tex]I = \frac{PRT}{100}[/tex]

P= $600

R= 5%

[tex]I = \frac{600 \times \ 5 \times T}{100} = 30T\\\\[/tex]

A = double the deposit =2  600= $1200

[tex]A = I + P \\1200 = 30T + 600\\30T = 600\\T = 20[/tex]

????????????

Step-by-step explanation:

?????????

Answer:

Those answers are correct

Answer:

D) 2² × 3³ × 7

Step-by-step explanation:

Hope this helps! Have a nice day :)

Answer:

bro its D and your taking your math finals lol

Step-by-step explanation:

Answer:

n = 0 or 10

Step-by-step explanation:

From the question,

Equation of the circle = (x-1)²+(y-5)² = 50 ............... Equation 1

Coordinate of the circle = (6,n)

From the question

x = 6, y = n

Substitute the value of x and y into equation 1

(6-1)²+(n-5)² = 50

5²+(n-5)² = 50

25+(n-5)² = 50

(n-5)² = 50-25

(n-5)² = 25.

Solving for n

n-5 = √(25

n-5 = ±5

Either,

n-5 = -5

n = -5+5

n = 0

or

n-5 = +5

n = 5+5

n = 10

Answer:

n = 3.16

Step-by-step explanation:

Since the point (6, n) lies on the circle then the coordinates of the point make the equation true.

Substitute x = 6 and y = n into the equation

(6 - 1)² + (n - 5)² = 50, that is, expanding using FOIL

5² + n² - 10n + 25= 50 by simplifying

25 + n² - 10n = 50 ( subtracting 50 from both sides and rearrange )

n² - 10n = 0 ← in standard form

n²=10

n = √10

The values of n is 3.16

Answer:

rang is 31

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

length

width

height

Answer: 0.02 per year

Step-by-step explanation:

When given the per capita birth rate and the per capita death rate, the per capita growth rate can be calculated as:

= per capita birth rate - per capita death rate

= 0.11 - 0.09

= 0.02/year

= 2% per year

Answer:

[tex]110 \degree = (4t + 90) \\ 4t = 20 \\ t = 5[/tex]

Answer:

[tex]\frac{4\sqrt{5} }{5}[/tex]

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

Answer:

[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Given:}}}}}}\end{gathered}[/tex]

[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{To Find:}}}}}}\end{gathered}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Using Formula:}}}}}}\end{gathered}[/tex]

[tex] \dag{\underline{\boxed{\sf{ S.I = \dfrac{P \times R \times T}{100}}}}}[/tex]

Where

[tex]\begin{gathered}\end{gathered}[/tex]

[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Solution:}}}}}}\end{gathered}[/tex]

[tex]{\quad {: \implies{\sf{ S.I = \bf{\dfrac{P \times R \times T}{100}}}}}}[/tex]

Substituting the values

[tex]{\quad {: \implies{\sf{ S.I = \bf{\dfrac{30000 \times 30\times 4}{100}}}}}}[/tex]

[tex]{\quad {: \implies{\sf{ S.I = \bf{\dfrac{30000 \times 120}{100}}}}}}[/tex]

[tex]{\quad {: \implies{\sf{ S.I = \bf{\dfrac{3600000}{100}}}}}}[/tex]

[tex]{\quad {: \implies{\sf{ S.I = \bf{\cancel{\dfrac{3600000}{100}}}}}}}[/tex]

[tex]{\quad {: \implies{\sf{ S.I = \bf{Rs.36000}}}}}[/tex]

[tex]{\dag{\underline{\boxed{\sf{ S.I ={Rs.36000}}}}}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Learn More:}}}}}}\end{gathered}[/tex]

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \dag \: \underline{\bf{More \: Useful \: Formula}}\\ {\boxed{\begin{array}{cc}\dashrightarrow {\sf{Amount = Principle + Interest}} \\ \\ \dashrightarrow \sf{ P=Amount - Interest }\\ \\ \dashrightarrow \sf{ S.I = \dfrac{P \times R \times T}{100}} \\ \\ \dashrightarrow \sf{P = \dfrac{Interest \times 100 }{Time \times Rate}} \\ \\ \dashrightarrow \sf{P = \dfrac{Amount\times 100 }{100 + (Time \times Rate)}} \\ \end{array}}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}[/tex]

Answer:

INTEREST=P*T*R/100

=30000*4*30/100

=3600000/100

=36000

Step-by-step explanation:

Therefore ,simple interest is 36000

Answer:

g(x)=2(x-9)(x+3)

Step-by-step explanation:

Answer:

0.5 cents per pound.

4.50/9 = 0.5

Please mark me brainliest! I hope this helps!

9514 1404 393

Answer:

  80 in^3

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = 1/3Bh

where B is the area of the base, and h is the height of the pyramid. Here, h=8 in.

__

Here, the base is a triangle. The formula for its area is ...

  A = 1/2bh

where b is the base segment of the triangle, and h is the height of the triangle perpendicular to the base segment. Here, b=10 in, and h = 6 in.

The triangular base area is ...

  A = 1/2(10 in)(6 in) = 30 in^2 . . . . base area "B"

__

Using the above base area and pyramid height, we find the volume of the pyramid is ...

  V = 1/3(30 in^2)(8 in) = 80 in^3

The volume of the pyramid is 80 cubic inches.

Answer:

Step-by-step explanation:

9

Answer:

I believe its because it going agents the wind

Answer:

     B)  SOUTH

Step-by-step explanation:

Answer:

B; 1

Step-by-step explanation:

Firstly, we need to find the inverse of the given function

Let us have f(x) as y

To find the inverse, we set out to make x the formula subject

Thus;

y = √(3x + 6)

square both sides

y^2 = 3x + 6

3x = y^2 - 6

x = (y^2 - 6)/3

To write the inverse, replace y by x

So we have the inverse of the function as ;

(x^2 - 6)/3

So what we have to do here is to substitute 3 for x in the inverse

We have this as;

(3^2 -6)/3

(9-6)/3

= 3/3 = 1

Answer:

1 ( option B )

Step-by-step explanation:

The given equation is ,

[tex]\implies f(x) =\sqrt{ 3x + 6 }[/tex]

Now substituting y = f(x) , we have ,

[tex]\implies y=\sqrt{ 3x + 6 }[/tex]

For finding the inverse , Interchange x and y , we have ,

[tex]\implies x =\sqrt{ 3y + 6 }[/tex]

Now solve for y , we have ,

[tex]\implies x ^2=3y + 6 \\\\\implies 3y = x^2-6 \\\\\implies y =\dfrac{x^2-6}{3} [/tex]

Now replace y with f-¹(x) , we have ,

[tex]\implies f^{-1}(x) =\dfrac{x^2-6}{3} [/tex]

Now put x = 3 , we have ,

[tex]\implies f^{-1}(3) =\dfrac{3^2-6}{3}\\\\\implies f^{-1}(3) = \dfrac{9-6}{3}\\\\\implies \underline{\underline{ f^{-1}(3) = 1 }} [/tex]

Answer:

2.7, 3, 6

Step-by-step explanation: