A rocket is launched from a tower. The height of the rocket , y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.

Y=-16x^2+147x+118

Answers

Answer 1
Answer:  Max height = 455.6 feet

========================================================

Explanation:

The general equation

y = ax^2 + bx + c

has the vertex (h,k) such that

h = -b/(2a)

In this case, a = -16 and b = 147. This means,

h = -b/(2a)

h = -147/(2*(-16))

h = 4.59375

The x coordinate of the vertex is x = 4.59375

Plug this into the original equation to find the y coordinate of the vertex.

y = -16x^2+147x+118

y = -16(4.59375)^2+147(4.59375)+118

y = 455.640625

The vertex is located at (h,k) = (4.59375, 455.640625)

The max height of the rocket occurs at the vertex point. Therefore, the max height is y = 455.640625 feet which rounds to y = 455.6 feet


Related Questions

factor 5x^2 + 10x + 5

Answers

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Answer:

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Step-by-step explanation:

if l || m,find the value of x, (8x + 20) (11x-31)

Answers

Answer:

x=17

Step-by-step explanation:

8x+20=11x-31

We simplify the equation to the form, which is simple to understand  

8x+20=11x-31

We move all terms containing x to the left and all other terms to the right.  

+8x-11x=-31-20

We simplify left and right side of the equation.  

-3x=-51

We divide both sides of the equation by -3 to get x.  

x=17

Answer:

17

Step-by-step explanation:

8x + 20 = 11x - 31

-8. -8

20 = 3× - 31

+31. +31

51 = 3x

/3. /3

x = 17

Please help..............

Answers

Answer:

The first one.

Step-by-step explanation:

:)

A 26-foot long ladder is leaning against a building
at a 60° angle with the ground.
Which of the following equations can you use to
find the height of the building, h?

Answers

Answer:

13

Step-by-step explanation:

cos(60) =building height / 26

The price of one share of a stock fell 4 dollars each day for 8 days. How much value did one share of the stock lose after 8 days?

Answers

Answer:

After 8 days, the stock lost 32 dollars.

Step-by-step explanation:

If 4 dollars fell every day for 8 days, it would be 32 dollars because 4*8 is 32.

7x1027
Scientific Notation

Answers

7,189 just multiply which you did correctly
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A volleyball team drank 7.5 liters of water during their mat9. How many milliliters of water did the volleyball team drink?

Answers

Answer:

7500 milliliters

Step-by-step explanation:

7.5*1000

at what point in the first quadrant does the line with equation y=×+4 intersect the circle with the radius 5 and center (0,4)​

Answers

Answer:

x=3.536, y=7.356

Step-by-step explanation:

The point of intersection can be found out be equating the equations x^2+(y-4)^2=25 and y=x+4. Solving it we will get x=3.536, y=7.356

Ann and Bob split some money in the ratio 4:2. Ann got £4 more than Bob. How much did Bob get?​

Answers

Answer:

$4

Step-by-step explanation:

A 4:2 ratio is the same as a 2:1 ratio, so Ann receives double what Bob gets.

If Ann gets 8 dollars and Bob gets 4, then Ann would have $4 more than Bob, and it would follow the appropriate ratio.

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The slope of the line is 2. As x increases by 1, y increases by 2. The change in y over the change in x is slope: 2/1 = 2

Which number is additive inverse of -4 1/4

Answers

Answer:

4 1/4

Step-by-step explanation:

the additive inverse is a number that when you add it with the number you already had, makes 0

-2 is the additive inverse of 2

so 4 1/4 is the inverse of -4 1/4

Evaluate 4p+q/p when p= -2 and q= -3

a) -11/2
b) 9/2
c) -9/2
d) 11/2​

Answers

Answer:

D

Step-by-step explanation:

Answer:

d. 11/2

Step-by-step explanation:

(4p + q)/p

(4(-2) + (-3))/(-2) = (-8-3)/(-2)

11/2

Dallas was told to run around the perimeter of the high
school as a warm-up for football practice. What is the
total distance that Dallas will run?
148 yards
166 yards
196 yards
256 yards

Answers

Answer:

Option (4)

Step-by-step explanation:

Perimeter of a polygon is the sum of measures of all sides of the polygon.

From the picture attached,

Distance run by Dallas = Perimeter of the ground

                                      = 48 + 50 + 9 + 30 + 30 + 30 + 9 + 50

                                      = 256 yards

Total warm up run by Dallas = 256 yards

Therefore, Option (4) will be the correct option.  

Answer:

b

Step-by-step explanation:

got it right on edge

PLEASE HELP WITH THIS MATH QUESTION I am so frustrated I can't get it right and this is my last test attempt :(

Answers

its $10.50
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6+3=9
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Determine the unknown side of the similar triangle.
A)
2
B)
3
4
D)
5

Answers

Answer : C) 4
Step by Step explanation:

Answer:

(C). 4

Step-by-step explanation:

Sides of the similar triangles are proportional.

if X ~ Y , then [tex]\frac{12}{6}[/tex] = [tex]\frac{8}{x}[/tex] ⇒ x = 4

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Answers

Answer:

$550

Step-by-step explanation:

How much is the profit for 1 burrito?: $8 - ($1.50+$1) = $5.5

So, profit for 100 burritos is $5.5 x 100 = $550.

When Elena makes bird food, she usually mixes 9 cups of seeds with 6 tablespoons of maple syrup. However, today she is short on ingredients. Think of a recipe that would yield a smaller batch of bird food but still taste the same. Select the correct amount of seeds and syrup. *

Answers

Answer:3 cups of seeds and 2 tablespoons of maple syrup

-OR-

6 cups of seeds and 4 tablespoons of maple syrup

Step-by-step explanation:

As this is a ratio of 9:6: "for every 9 cups of seeds, there is 6 tablespoons of maple syrup"

The original ratio is 3:2 "for every 3 cups of seeds, there is 2 tablespoons of maple syrup"

Using this ratio, we can infer that 3:2 or 6:4 would be a simpler answer for this problem. If there is doubt, it would be better to use 3:2 as it is the smallest ratio.

Answer:

I don't quite know how much Elena has in bird food but here is what you can do: If Elena has for example 6 cups of seeds then she will need 3 cups of maple syrup I think. 9-6=3 which is the difference that Elena needs to make her bird food. I hope this helps!

Find the smallest number which is exactly divisible
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Answers

Answer:

60

Step-by-step explanation:

The smallest number that is divisible by 15, 20 , and 30, must have the needed factors of each of these numbers:

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20 = 2 * 2 * 5

30 = 2 * 3 * 5

Then the minimum common factor must have the following factors to satisfy the divisibility of all of the numbers above:

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Answers

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Step-by-step explanation:

simplify 3(12 - 8) + 5

Answers

Answer:

17

Step-by-step explanation:

The value of the given linear expression 3(12 - 8) + 5 is 17.

What is a linear equation?

A linear expression is an expression in which the highest power of the variable is always 1. If there is no variable, we can assume the power of the variable as 0.

Therefore, the variable x⁰ = 1.

Given linear expression:

3(12 - 8) + 5

= 3 × 4 + 5

= 12 + 5

= 17

Learn more about linear expression here: https://brainly.com/question/1955739

#SPJ2


A car is going 50 miles per hour.

A rate that describes this would have units of?

А. miles and hours.

B. miles and cars.

C. hours only.

D. miles only.

Answers

miles and hours is the correct option.

NOT SURE BUT HOPE IT IS CORRECT AND HELPS YOU

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Answer:

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if m equals x plus 4 squared and x equals -1 then m equals what​

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Step-by-step explanation:

(-4)x(4+4-(6-(-10)) ?

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| Why do we need it? | How to use brackets | The basic rules | The complete rules | Using calculators | Quick quiz |

Why do we need an order of operations?

Example: In a room there are 2 teacher's chairs and 3 tables each with 4 chairs for the students. How many chairs are in the room?

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2 + 3 x 4
how does a reader know whether the answer is
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3 x 4 = 12, then 2 + 12 to get 14?

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Answer:

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Step-by-step explanation:

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Answers

Answer:

The sim is 4

Step-by-step explanation:

6 - 2 = 4, therefore the -2 and 6 are the same if fliped.

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You have 3 coins. One of them may be a fake that is either heavier or lighter than the real coins. Using a balance scale what is the best possible number of weighings that you need to always find the possible fake

Answers

Answer:

Two weighing

Step-by-step explanation:

In the context, it is given that one of the three coins is fake and the other two are real. It is also mentioned that the fake coin is either heavier or lighter than the other two real coins.

Now to find the fake coin, we take a balance scale and lace one coin on one pan of the balance and place the second coin on the other pan of the same balance. We keep the third coin aside.

Now we check the balance scale. If the scale is balance, then we can conclude that the coin that we kept aside is the fake coin as both the real coins have same weight.

Now we replace the one of the coin on the pan with the coin that is kept aside and check the balance. Remember now on the pan, there is one real coin and one fake coin. The balance scale will be dis-balance as the fake coin is either heavy or light than the real coin. Thus we can identify the fake coin.

Which statement is false? Explain.
A. An equiangular polygon has all angles congruent.
B. A regular polygon is both equilateral and equiangular.
C. An equilateral polygon has all sides congruent.
D. A polygon is concave if no diagonal contains points outside the polygon.

Answers

Answer: D. A polygon is concave if no diagonal contains points outside the polygon.

Explanation:

Choice A is true since "equiangular" means "equal angles"

Choice B is true since all sides are congruent, and all angles are congruent for a regular polygon

Choice C is true. The term "lateral" means "side".

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