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.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

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

Related Questions

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.

Learn more about Divided here:

brainly.com/question/15381501

#SPJ6

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

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

Is this answer correct?

Answers

No it's the fourth one


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!!!



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:

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.

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]

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.

Learn more about speed here;

https://brainly.com/question/7359669

#SPJ2

Help please!!! This is important!

Answers

Answer:

u didnt put any context

Step-by-step explanation:

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

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:

"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

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)

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:

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

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.

Learn more about slope intercept form, click;

https://brainly.com/question/30216543

#SPJ2

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:

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

Answers

Maybee the third one

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.

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

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

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)

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

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%

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  

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%

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.

Other Questions
Space-shuttle astronauts experience accelerations of about 35 m/s2 during takeoff. What force does a 75 kg astronaut experience during an acceleration of this magnitude? Which of these regions is most likely to experience a mild winter?A. Mid-AtlanticB. MidwestC. NortheastD. Southeast I need help I know it isnt A Simplify.-2(-3y+v) + 2(-4x+y) Read the diary entries. Nicholass Diary: April 2 and 3 Friday, April 2 Well, its only 10 more hours until my father and I leave for our treasure hunt. Every Saturday morning for as long as I can remember I have seen him leave, always by himself, to look for treasure. I have always longed to go with him, and hes always told me that someday I would get the chance. I was so excited when he told me I would finally have my chance that I was bouncing off the walls like a rubber ball and springing from one place to the next the rest of the day. He has always been as quiet as a mouse about the treasure that he finds, scurrying away with his equipment in the morning and piling up his treasure in his study. Even though he says he always comes home with something, he has never shown it to me or even told me what type of treasure it is. Is it gold, or silver, or maybe its precious jewels? Whatever it is, tomorrow I will find out, and hopefully hell let me bring some to class so that I can show my friends since Ive been bragging about it to them ever since Dad told me I could go! Saturday, April 3 The treasure hunt was fun, but it was not what I expected. Dad and I left early in the morning and headed for the same woods that we sometimes go hiking in on Sundays. I never would have thought they hold treasure, but what was really odd was when Dad told me to leave the shovels at home because we wouldnt need them. But what he did bring with him was a bright yellow GPS . I had seen it in his truck many times before. I always wondered what he did with it. Today I found out. Dad and I wandered into the woods, first staying on the hiking path I had taken several times before and then veering off the path. The forest was like a statue; it was still and covered in damp moss and dead leaves; it didn't even seem alive. It appeared that no one had been there for a long time so I knew that this treasure must be old and far under the ground. How were we going to get to it without shovels? As Dad kept his eyes on the GPS , I looked around, and suddenly I noticed a patch of leaves that was disturbed and a log that looked like it had been moved. When I asked Dad about it, his eyes lit up, and he said he saw the treasure. He reached under the log and pulled out a plastic box with a label that read Official Geocache. I didnt know what an official geocache was, but I soon found out when Dad opened it. Inside was a little notebook and a bunch of small items like a set of dice, a toy car, and a large silver dollar. Dad said that he thought the toy car was cool, so he took it out and put it in his pocket and then pulled a golf ball from his other pocket and put it in the box. He wrote his name and my name in the little notebook and then closed the box and put it back where he found it. Geocaching, which is what Dad later told me this type of treasure hunting is called, was much different than digging for gold in the ground. But I thought it was fun, and I hope Dad takes me again next Saturday. What is the authors purpose in writing "Nicholass Diary: April 2 and 3"? A. to document what happened during two days in his life B. to describe things that he and his father enjoy together C. to show his disappointment in not finding treasure D. to express how much he enjoys treasure hunting The British blockade prevented food and raw materials from reaching the Central Powers. Germanys ships from entering their own ports. Germany from collaborating with the Central Powers countries. ships from leaving German ports to fight the Allies. the best data an aquifer comes from- Select the correct text in the passage Which words in this excerpt from the Declaration of Independence are emotionally charged? Nor have We been wanting in attentions to our British brethren. We have warned them from time to time of atte mpts by their legislature to extend an unwarrantable jurisdiction over us. We have reminded them of the circumstances of our emigration and settlement here. We have appealed to their native justice and magnanimity, and we have conjured them by the ties of our common kindred to disavow these usurpations, which, would inevitably interrupt our connections and correspondence. They too have been deaf to the voice of justice and of consanguinitye We must, therefore, acquiesce in the necessity, which denounces our Separation, and hold them, as we hold the rest of manknd, Enemies in War, in Peace Friends. A bicycle has a listed price of 777.99 before tax. If the sales tax rate is 8.5% , find the total cost of the bicycle with sales tax included.Round your answer to the nearest cent, as necessary. There is actually 2 questions a farmhouse shelters 23 animals some of them are ducks and the others are goats . altogether these animals have 62 legs. find how many ducks and goats are in The farmhouse. in a coin Bank , there are 104 dime and quarters worth a total of $14 . how many of each type of coins are in the bank . What were ancient Egypt's economics? Please help!How do you do this? pls help thanks :):) Please help me finish an assignment IM ALMOST DONE please Which New World colonies depended on slave labor the most? Michael is using a number line to evaluate the expression 8 3 PLEASE HELP !! SOCIAL STUDIES IS THE WORST !! " Columbus is not a hero. Explain whether you agree or not? " Sally was a demon on the volleyball court. A hyperbole B alliteration C personification D idiom E simile F metaphor G onomatopoeia H sensory I imagery What was john quincy adams role in the amistad case