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+228x+71

Answers

Answer 1

Answer:

883.3

Step-by-step explanation:

thats all.

Answer 2

An equation is formed of two equal expressions. The maximum height reached by a rocket, to the nearest tenth of a foot is 883.3 feet.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

To find the maximum height through which the rocket will reach, we need to differentiate the given function, therefore, we can write,

y=-16x²+228x+71

dy/dx = -16(2x)+228

Substitute the value of dy/dx as 0, to get the value of x,

0 = -32x + 228

228 = 32x

x =7.125

Substitute the value of x in the equation to get the maximum height,

y=-16x²+228x+71

y=-16(7.125²)+228(7.125)+71

y=883.3feet

Hence, the maximum height reached by the rocket, to the nearest tenth of a foot is 883.3 feet.

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A Rocket Is Launched From A Tower. The Height Of The Rocket, Y In Feet, Is Related To The Time After

Related Questions

Given m
11 n, find the value of z.
+
(10X-14)
>
(7x-8)

Answers

Answer:

Solve

Let's solve your inequality step-by-step.

10x−14>7x−8

Step 1: Subtract 7x from both sides.

10x−14−7x>7x−8−7x

3x−14>−8

Step 2: Add 14 to both sides.

3x−14+14>−8+14

3x>6

Step 3: Divide both sides by 3

3x/3>6/3

x>2

Step-by-step explanation:

Do your answers correctly or figure it out on paper

kesha drives 36miles in 48 minutes.keeping the same rate she drives ____ in 12 minutes

Answers

Answer:

24

Step-by-step explanation:

subtract 48 from 36 and that equals 12 than add 12=24

An object is moving at a speed of 9 inches per minute. Express this speed in yards per month.

Answers

Answer:

Speed is the rate of change in position of an object, regardless of direction of travel. Walk forward or backward at 2 meters per second, and your speed is just that: 2 m/s. Velocity is speed in the context of direction. Say you were walking backward again; your velocity is negative 2 m/s, although your speed is still positive.

Step-by-step explanation:

The given speed in yards per month will be 10,800 yd/mo.

What is speed?

Speed is the rate of change in position of an object, regardless of direction of travel.

Walk forward or backward at 2 meters per second, then speed is just that: 2 m/s.

Velocity is speed in the context of direction.

An object is moving at a speed of 9 inches per minute.

9 in/ min = (9 in/ min) x (1 yd / 36 in) x ( 60 min/ 1 h) x (24h / 1 d) x (30 d/ 1 mo )

9 in/ min = 10,800 yd/mo

Therefore, the given speed in yards per month will be 10,800 yd/mo.

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Graph this line using the slope and y-intercept:
y = 8x - 6
Click to select points on the graph.
8
6
4
No
-6
-4
-2
-10
-8
0
co
4
2
6
10
-2
-4
-6
CO
-104

Answers

Here you go. I hope you get it.

The graph of the equation y = 8x - 6 is a straight line.

What is slope intercept form?

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept

(0, b).

Given is an equation, y = 8x - 6

Finding the coordinates,

Put x = 0, y = -6

(0, -6)

Put y = 0

8x = 6

x = 0.75

(0.75, 0)

Plotting the graph,

Hence, we will get a straight line of the graph.

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HELP FAST!!! PLZ!! I BEG YOU!!! I'LL GIVE BRAINLYEST!!! 10 POINTS!!!

The frequency table shows the results of drawing 20 cards from the bag of 100. There are an equal number of cards of each color in the bag. Which color has the same frequency as the distribution of colors in the bag?

(I caint take a screen shot, so im going to try and recreate it)

COLOR FREQUENCY
Blue 4
Red 3
White 5
Yellow 8

A. white
B. red
C. yellow
D. blue

Answers

Answer:

white

Step-by-step explanation:

Use the picture to the right to find each of the following measures. What type of angles are they?

Answers

Answer:

1. 115; obtuse

2. 130; obtuse

3. 50; acute

4. 108; obtuse

Step-by-step explanation:

m<1 = 115, corresponding

m<2 = 130, alternate exterior angles

m<4 = 50, alternate interior angles

m<1 = 108, supplementary

I need help on how to fill in a bubble grid. my answer is x=9, but I'm not sure how to record my answer on there. Please help.​

Answers

You just bubble in 9 In the first column


Which equation represents the relationship between the
number of pets Scott watches and his fees?

Answers

The slope is the change in y over change in x

Given the points (1,8), (2,11), (3,14), (2,17) we can use the table to figure out what our equation will be

Notice on the table as you go on the y term from 8 to 11 to 14 to 17 you are having a constant rate of change of 3. So that’s your change in y

On the left side which is your x, you are going up by 1 every time because it’s {1,2,3,4} So your change in x is 1

Your slope or m in y=mx+b can be found by using the following formula

Change in y/change in x

So here our change in y is 3 and our change in x is 1. So that means our slope is

m=3/1 = 3

y=3x+b

To find b, you can plug in one of the points. Let’s use (1,8). So x=1 and y=8. Now we can plug these in and solve for b.

8=3(1)+b

8=3+b

Subtracting 3 on both sides we have

b=5

Therefore given y=3x+(b) we can plug b in to obtain the following equation

y=3x+5. So that’s your answer

I hope this helps!!! Mark for brainliest!!!



2. If r=7 is a solution to -6r+18=k(x-15), then which of the following must be the value of K?
(1)-8
(3)3
(2) -4
(4) 11

Answers

Answer: (1)-8

Step-by-step explanation: −6r+18=k(x−15)

Step 1: Flip the equation.

kx−15k=−6r+18

Step 2: Factor out variable k.

k(x−15)=−6r+18

Step 3: Divide both sides by x-15.

k(x−15)/x-15 =

−6r+18/x-15

k= −6r+18/x-15= -8

Using the table below, determine the unit rate in points per game. *
games
points
3
42
13
182
16
224
Your answer

Answers

every game is 14 points if that’s what you’re asking. please mark brainliest if i’m correct

WILL GIVE BRAINLIEST

Answers

Step-by-step explanation: First, we create a table using the equation provided: "y = -2/3x + 1". If x is 0, then y = 1. If x = 3, y = -1. Thus, we plot the points (0, 1) and (3, -1). Then, we draw a line through them.

If $7,500 investment earns $450 over 3 years what's the interest rate

Answers

Answer:

Rate is 2%

Step-by-step explanation:

Step one:

given data

Principal= $7500

Simple interest= $450

time=3 years.

Applying the simple interest formula which is

SI=PRT/100

Step two:

substitute we have

450=7500*R*3/100

cross multiply we have

45000=22500R

divide both sides by 22500

R=45000/22500

R=2%

pls answer this is due today its science. I give brainliest

Answers

Maybee the third one

Step-by-step explanation:

Tina's Jack Russell weighed 19.5 pounds. This week, her dog weighed 21.8 pounds. Find the percent of change in the weight of her dog?

Answers

Answer:

90%

Step-by-step explanation:

19.5 divided by 21.8 = 0.89449541 = 0.89% or 0.9%

Jin bought 4 markers for $7. How many markers can he buy for $21? (label your answer for full credit)

Answers

Answer:

The answer is 12 markers. 4 markers for $7. You multiply 7 x 3and you end up with 21

Step-by-step explanation:

I will give brainliest to whoever answers this!!

Answers

The first one is g=1, the second is identity, and the third one is b=0.

Is this answer correct?

Answers

No it's the fourth one

A pair of jeans regularly priced for $50 have been marked down by 10%. What is the new sale price?
HELP ASAP!!! PLEASE

Answers

Answer:

5

Step-by-step explanation:

Answer:

$46

Step-by-step explanation:

Since starting a new recycling plan, Hannah's office recycles 2 kilograms of paper each
week. How many weeks will it take Hannah's office to recycle a total of 8 kilograms of
paper?

Answers

Answer:

4

Step-by-step explanation:

Known:

Every week Hannah's office recyles 2 kilograms of paper

1 week = 2 kg of paper

To find a rate at which the office recyles paper divide the unit of measurement (kg) by a unit of time (weeks)

So:

2 kg/ 1 week = 2 kg of paper recycled per week

We want to know how many weeks it will take to recycle 8 kg.

Think of it this way.

if you divide kg by kg/week the kg cancel out and you get the unit week.

So divided 8 kg by the rate we discovered (2 kg/week) and you shall get the answer 4 weeks.

PLEASE PLEASE PLEASE HELP WITH THE ONES CIRCLED IN BLACK I WILL GIVE EXTRA POINTS AND BRAINALIST TO THE FIRST PERSON TO ANSWER THANK YOUUUUU

Answers

Answer:

[tex]2. \: x > 0 \\ 3. \: - 1 \leqslant x < 3 \\ 4. \: 0 > x > 2[/tex]

Easy 30 Points!!!!!!!A microscope shows you an image of an object that is 20 times the object's actual size. So, the
scale factor of the enlargement is 20. An insect has a body length of 2 millimeters. What is the
body length of the insect under the microscope?
40 centimeters
40 millimeters
4 millimeters
400 millimeters

Answers

Answer:

1

Step-by-step explanation:

Answer:

Keywords:

Microscope, scale factor, enlargement, actual length, length to scale

For this case we have a microscope that shows an enlargement scale of objects, 140 times the actual size. Given the actual length of an insect, we want to know the scale length shown by the microscope. So, we have the following equation:

If the insect has a , then:

Thus, the microscope will show the insect with a size of 840mm

Answer:

The body length of the insect under the microscope is 840mm

Option D

Step-by-step explanation:

Calculate the average speed of a boat that travels 600 meters in 40 seconds.

Answers

Answer:

15 meters in 1 second

Step-by-step explanation:

Divide 600 by 40 which is 15

so it travels 15 meters in 1 second

hope this helps!

Answer:15 meters per second

Step-by-step explanation:

600/40= 15

HELP ME PLEASE 40 POINTS

Answers

Answer: abd=50

Step-by-step explanation: bc angel 3 is 80 that means angel 2 is one hundred and abc is the same as angel tow because the two lines are so ABC is 100 and line segment BC is bisecting ABC so you divide ABC by two and get 50  

what is the slope of (-8, -3) (-24, 1)

Answers

Answer:

(-16 , -4)

Step-by-step explanation:

you use rise over run

the rise is your y

the run is the x

[tex]\frac{y2-y1}{x2-x1}[/tex]⇒[tex]\frac{-3-1}{-24-(-8)}[/tex] =

[tex]\frac{-4}{-16}[/tex] or (-16, -4)

Reflect the point (-7, -9) across the x-axis: Then
Reflect the point (-7, -9) across the y-axis:

Answers

Step-by-step explanation:

Reflecting across the x axis will result in a sign change for. the y component, therefore (-7,-9) becomes (-7,9)

Reflecting across the y axis will result in a sign change for the x component, therefore (-7,-9) becomes (7,-9)

Help please!!! This is important!

Answers

Answer:

u didnt put any context

Step-by-step explanation:

"The product of a number and five is subtracted from 27." Which expression
represents this scenario?

Answers

Answer:

27 - 5n

Step-by-step explanation:

n times 5 (5n) - 27

Explain the difference between parallel and perpendicular lines in terms of their slopes. What form of equation of a line is easiest to determine slope?

Answers

Answer:

Parallel lines have the same slope, while perpendicular lines have completely opposite slopes. So a line has a slope of 2, a parallel line would have a slope of 2, and a perpendicular line would have a slope of -1/2. The easiest form to identify the slope is standard form because it shows the slope within the equation with out having to solve the equation or convert it into another form.

What is the constant in 2m + 3m - m

Answers

Answer:

-m is the constant

Step-by-step explanation:

Hope this helps and could you mark this brainliest

long division with 2,000 divided by 3.2

Answers

Answer:

625

Step-by-step explanation:

with long division, you just need to remember these five steps, divide, multiply, subtract, bring it down, and repeat.

hope this helps :3

if it did pls mark brainliest

The number 2000 divided by 3.2, then the quotient is 625.

To perform long division with 2,000 divided by 3.2, follow these steps:

Step 1: Write down the division problem.

2,000 ÷ 3.2

Step 2: Convert the divisor to a whole number.

Since the divisor is a decimal, multiply both the dividend and divisor by a power of 10 to eliminate the decimal. In this case, multiply both numbers by 10 to get rid of the decimal point:

2,000 × 10 = 20,000

and

3.2 × 10 = 32.

Step 3: Divide the first digit of the dividend by the divisor.

In this case, the first digit of 20,000 is 2, and when divided by 32, the quotient is 0. Therefore, write down 0 as the first digit of the quotient.

Step 4: Multiply the quotient digit by the divisor and subtract from the dividend.

Multiply 0 by 32:

0 × 32 = 0

Subtract the result from the dividend:

20,000 - 0 = 20,000

Step 5: Bring down the next digit of the dividend.

Since we have no more digits in the dividend, stop here.

Step 6: Write down the final result.

The quotient is the result of the division:

2,000 ÷ 3.2 = 625

Therefore, when dividing 2,000 by 3.2 using long division, the quotient is 625.

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