The function g(t) = -16t2 + vt + h represents the height of an object, g, in feet above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial velocity of v feet per second at an initial height of h feet.
A model rocket is launched off the ground at an initial velocity of 80 feet per second.
Part A: Write a function that can be used to describe the flight of the model rocket.


A. g(t) = -16t^2 + 80t + 80

B. g(t) = -16t^2 + 80

C. g(t) = -16t^2 + t + 80

D. g(t) = -16t^2 + 80t

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:

true proportion

A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.

hope it helps ya.

Can you give me brainliest? please?.ت︎

Answer:

i think it is d

Step-by-step explanation:

Answer:

2 and 5

Step-by-step explanation:

10x + 2y = 30

x = 2

y = 5

10(2)+2(5) = 30

20+10 = 30

30=30

-Gage Millar, Algebra 2 tutor

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:

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]

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:

D) 2² × 3³ × 7

Step-by-step explanation:

Hope this helps! Have a nice day :)

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:

3

Step-by-step explanation:

length

width

height

Answer:

I agree with daniel

Step-by-step explanation:

Given the area of a rectangle expressed as;

A(x) = 2x²+10x+12

On factorizing;

A(x) = 2x²+6x+4x+12

A(x) = 2x(x+3)+4(x+3)

A(x) = (x+3)(2x+4)

since A(x) = l(x)w(x)

Hence the legnth and width of the rectangle are 2x+4 and x+3.

Also A(x) = 2x²+6x+4x+12 can be factorized as;

A(x) = 2x²+4x+6x+12

A(x) = 2x(x+2) + 6(x+2)

A(x) = 2x+6(x+2)

Therefore I agree with Daniel. The factor differs due to the difference in arrangement of 4x and 6x in the expression. Precedence of values affects the final factors

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:

Yes side lengths are the same

Step-by-step explanation:

For square 4 :

a + b

For square 5 :

a + b

Hence,

Side lengths are the same for both squares.

This can be clearly evaluated from the picture attached

Answer:

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

Answer:

rang is 31

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:

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: 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:

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

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

Answer:

2.7, 3, 6

Step-by-step explanation:

Answer:

Those answers are correct

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:

5 inches tall i think

Step-by-step explanation:

sorry if its wrong

Answer:

in step by step

Step-by-step explanation:

so in this chart we have red, blue, green nad white

so red is 4 times more often than blue, and blue is 2 times more often than green and green is as often as white so

Hope this helps i couldent really make a bar graph or a table chart but hope u can add this to a graph that u make

Answer:

Step-by-step explanation:

9

Answer:

0.5 cents per pound.

4.50/9 = 0.5

Please mark me brainliest! I hope this helps!

Answer:

Mean:5

Mode: 4

Range: 7

Median: 5

Step-by-step explanation:

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.

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Step-by-step explanation:

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