The answer choices are 11 1 2.48 6

The Answer Choices Are 11 1 2.48 6

Answers

Answer 1

Answer:

The ball reached its maximum height of ([tex]11\ yards[/tex]) in ([tex]1\ second[/tex]).

Step-by-step explanation:

This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.

The first step in completing the square is to group the quadratic and linear term:

[tex]h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6[/tex]

Now factor out the coefficient of the quadratic term:

[tex]h(t)=-5(t^2 -2t) + 6[/tex]

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

[tex]h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6[/tex]

Now take the balancing term out of the parenthesis:

[tex]\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))[/tex]

Simplify:

[tex]h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11[/tex]

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

[tex](1, 11)[/tex]


Related Questions

find the value of given expression

[tex] \sqrt{60 \times 60} [/tex]

Answers

Step-by-step explanation:

it is 3.600 this is my answer

Answer:

√(60×60)=√60²=±60 is your answer

-6x+5y=1
6x+4y=-10
what is the answer to this problem by elimination

Answers

Answer:

x= -1 and y= -1

Step-by-step explanation:

Answer:

(-1,-1)

Step-by-step explanation:

-6x+5y=1

6x+4y=-10

Add the two equations together to eliminate x

-6x+5y=1

6x+4y=-10

---------------------

9y     = -9

Divide by 9

9y/9 = -9/9

y= -1

Substitute back into one of the equations to find x

-6x+5y=1

-6x +5(-1) = 1

-6x -5 = 1

Add 5 to each side

-6x -5+5 = 1+5

-6x = 6

Divide by -6

-6x/-6 = 6/-6

x = -1

(-1,-1)

Find KJL (5x-2) (9x-62)

Answers

Answer:

45x^2-328x+124

Step-by-step explanation:

evaluate the expression if g-=2, r=3, and t=. 3ab+c^2/a

Answers

Answer:

3ab+(c^2)/a

you can't really solve this because g and r is not in the equation.

pls help will mark brainliest if correct

Answers

Answer:

its D Please put me as brain eat if correct

A test has 25 true/false questions. If 64% of the answers are true, how many of the test questions are true?

Answers

Answer:

16

Step-by-step explanation:

First, let's find 64% of 25. We do this and get:

[tex]\frac{64}{100}\cdot25=\frac{1600}{100}=16. \text{ so our answer is \boxed{16 \text{ problems are true}}}[/tex]

What property is being used in 6 x (3+8) = 6 x 3 + 6 x 8?

Answers

Answer:

The distributive property

Step-by-step explanation:

find the 9th term of the geometric sequence 6,-24,96...

Answers

Answer:

A9 = 393216

Step-by-step explanation:

the first thing that will help you solve this question is finding the common ratio between each terms

the first thing that I like to do that usually helps is to take the second term (-24) and divide it by the first term (6) --> this will usually help you spot the common ratio fairly quickly

in your case, the common ratio is -4

- you can also check this by following my note above and then multiplying the second term by the common ratio to see if it matches the third term, which it does!

so now you can go about this two different ways

1. solve directly for the 9th term

2. use the nth term formula for geometric sequences

METHOD 1:

if you continue to multiply by -4 to solve for each term you would end up with:

6, -24, 96, -384, 1536, -6144, 24576, -98304, 393216

and you will recieve 393216 as your answer

METHOD 2:

the nth term formula is An = A1*r^(n-1)

where An = the nth term of the sequence

A1 = first term of the sequence (6)

and r = common ratio

using this formula, you would get:

A9 = 6(-4)^8

A9 = 393216

I hope this helped :)

 

Each marble bag sold by Henry's Marble Company contains 5 purple marbles for every 4 orange marbles. If a bag has 20 orange marbles, how many purple marbles does it contain?

Answers

Answer:

25

Step-by-step explanation:

If it's 5 for every 4 and the bag has 20, 4*5 = 20 and you'd have to do that to the 5 as well to get 5*5=25.

A toy manufacturer is shipping its newest product, an interactive talking globe, to a major toy store. The packaging for the globe is a rectangular prism that measures 2512 2512 inches high, 18 inches long, and 18 inches wide. The boxes for the globes are packaged into shipping crates that hold 8 globes each. What is the minimum volume of one shipping crate? Explain your answer in the space provided.

Answers

Answer:

6 511 104 in³

Step-by-step explanation:

Since we have 1 crate and 8 boxes fit into one crate.

So, volume of one crate, V' = 8 × volume of 1 box, V

Since the box is a rectangular prism of sides 2512 inches high, 18 inches long, and 18 inches wide, its volume, V = lwh where l = length of prism, h = height of prism and w = width of prism.

So, V = lwh = 18 in × 18 in × 2512 in = 813 888 in³

So, V' = 8 × 813 888 in³ = 6 511 104 in³

So, the minimum volume of the crate is 6 511 104 in³

Which number is in the solution set of this equation? 7x − 9 = 40

Answers

Answer: the answer is 7

Step-by-step explanation: add 9 to both sides, eliminating -9 so now you have 7x=49 divide both by 7 and you get x= 7 check it by inputing 7 for x, 7(7)-9=40

7(7)=49 next 49-9= 40

it checks out, so x= 7

A footballer attempted 30 goals during a match and only makes 12. What fraction of the attempted goals did he make?

Answers

Answer:

2/5

Step-by-step explanation:

you have to reduce each number by 6

Answer: 12/30 or 2/5

HURRY!! I need the answer. The assignment closes soon.

Answers

Answer: option 3

Step-by-step explanation:

option 2 is the answer.

Engineers are designing a rollercoaster that at one point goes underground. The rollercoaster’s path underground is a large curve. The engineers use the function shown to model the elevation, ܧ ,in feet and ݐ , time, in seconds, of the rollercoaster’s path while it is underground.

Answers

Answer:

One way to solve the quadratic equation x2  = 9 is to subtract 9 from both sides to get one side equal to 0: x2  – 9 = 0. The expression on the left can be factored:

(x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3

Step-by-step explanation:

One way to solve the quadratic equation x2  = 9 is to subtract 9 from both sides to get one side equal to 0: x2  – 9 = 0. The expression on the left can be factored:

(x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3

what is the intersection point of function f and g

Answers

Answer:3,15) and (-1.5, 1.5)

Step-by-step explanation:

If g(x) = 2x² - 3

10. Find the slope of the line.

Answers

Answer:

-2/1

Step-by-step explanation:

Answer:

67

Because I just know

the radius of a circle is 8 what is the area of the circle? pls show work

Answers

Answer:

201.06

Step-by-step explanation:

A=πr2=π·82≈201.06193

Answer:

201.14 ≈ 201 unit²

Step-by-step explanation:

Area of circle = πr², where π is either 3.14 or 22/7 or 355/113. Mostly it is 22/7.

=> area of circle = (22/7) (8)² unit²

=> area of circle = (22 x 64)/7 unit²

=> area of circle = 201.14 unit²

If we take π = 3.14

=> area of circle = (3.14)(8)² = 200.96 unit²

Hegarty please help me

Answers

Answer:

wait let me try and see this carefully and then I will help you

Por una tubería de 4.02 cm de diámetro circula agua a una velocidad de 1.9 m/s. En
una parte más estrecha el diámetro es de 3.61 cm. ¿Cuál es la velocidad que llevará el
agua en ese punto?Por una tubería de 4.02 cm de diámetro circula agua a una velocidad de 1.9 m/s. En
una parte más estrecha el diámetro es de 3.61 cm. ¿Cuál es la velocidad que llevará el
agua en ese punto?​

Answers

Answer:

7.91

Step-by-step explanation:

I just took the quiz and i got an A

Find the area and perimeter pls!!!

Answers

P = a + b + c =4.81 + 8.8 + 8.42 = 22.03


[tex] \sqrt[4]{48x}^{4} [/tex]
Someone please help me this is so confusing, Please no links and do it step-by-step Thank you!!!

Answers

Answer:

48x

Step-by-step explanation:

[tex](\sqrt[4]{48x} )^{4}[/tex] = [tex]\sqrt[4]{(48x)^{4} }[/tex] = 48x

−6 7/8÷(−3 3/4)


Help me pls :{

Answers

67/66 or 1 1/66 would be the answer
11/6
---:
convert both into improper fractions
-55/8 and -15/4
turn both into a positive bc two negatives
then flip 15/4 to 4/15
simplify
11/2 * 1/3 =
11/6
hope this helps

Plx help me! Brainlist!

Answers

Answer:

Its A. have a good day

Step-by-step explanation:

solve for x
x^9=12^2x12^7

Answers

Answer:

12

Step-by-step explanation:

Hi!

Here is your answer,

I will explain in step by step,

[tex] {x}^{9} = {12}^{2} \times {12}^{7} [/tex]

Here we can simplify this further using this law,

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

So we will get,

[tex] {x}^{9} = {12}^{7 + 2} \\ {x}^{9} = {12}^{9} [/tex]

Since the powers are same we can cancel it out and we will get,

[tex]x = 12[/tex]

(Hope this answer helped :))

How many triangles can a heptagon be divided into? 3 5 4 6

Answers

Answer:

5 triangles.

Step-by-step explanation:

Answer:

5 or 4

Step-by-step explanation:

can someone please help me with this? I'll mark brainliest for the right answer

Answers

It’s D. When multiplying by -1, you’re changing the signs from addition to subtraction, both inverses of each other.
The answer is D nnnhhhhygggffftyhvjjj

find the perimeter of the polygon

Answers

1. Add all of the sides

So it should be 22
perimeter = add all sides tgther
4+4+7+7 = 22

Quadrilateral MNPQ is shown on the grid below.


What is the area, in square units, of the quadrilateral?

A) 182 square units

B) 4550 square units

C) 9100 square units

D) 91 square units

Answers

Answer:

42 square units

Step-by-step explanation:

Find the diagram attached

Area of the diagram = Area of the triangle + Area of rectangle

Area of rectangle = Length * Width

Area of rectangle = 3 * 6

Area of rectangle = 18 square units

Area of triangle = 1/2 * base * height

Get the base of the tringle using the pythagoras theorem;

b^2 = 10^2-6^2

b^2 = 100 - 36

b^2 = 64

b = 8units

height = 6 units

Area of the triangle = 1/2 * 8 * 6

Area of the triangle = 48/2

Area of the triangle  = 24 square units

Area of the figure = 18+24

Area of the figure = 42 square units


What does the discriminant determine?

Answers

It determines if the solution is equal, less than , or more than zero so if it’s equal you only have one solution but if it’s less than so it’s an imaginary graph that doesn’t have solution or more than means it has more than a solution

A square painting has a side length of 13 inches.

What is the area of the painting?

Answers

Answer:

169

Step-by-step explanation:

13*13=169

Answer:

169

Step-by-step explanation:

length x width = area

since it is a square, all sides are equal.

13 x 13 = 169

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