The height in ft of a rocket after x seconds is given by y=128-16x^2y. What is the maximum height reached by the rocket, and how long does it take the rocket to reach max height.

Answers

Answer 1

Answer:

Max height = 128feet

Time = 0secs

Step-by-step explanation:

Given the height in ft of a rocket after x seconds is given by y=128-16x^2, at maximum height, the velocity of the object is zero that is;

dy/dx = 0

0 - 32x = 0

x = 0/-32

x = 0

Hence the time taken for the object to reach its maximum height is 0 secs

To get the maximum height reached, you will substitute x = 0 into th expression given as shown;

y = 128 - 16x^2

y = 128 - 16(0)^2

y = 128 - 0

y = 128feet

Hence the maximum height reached by the rocket is 128feet


Related Questions

Can someone help me with this problem ??

Answers

B= 120° because all triangles equal 180° so 19°+41° = 60 and 180° -60 equals 120°


A= 120 because B and A are vertical angles

Y= 22° because 120 +38= 158 and 180-158 = 22°

Answer:

a = 120

b = 120

y = 22

a and b and vertical angles

Step-by-step explanation:

angles A and B are vertical angles so they're equal.

you can find angle b because all the angles in a triangle add up to 180

19 + 41 + B = 180

b = 180 - 19 - 41

b = 120

and since theyre equal, that means

a = 120 as well.

since you know a = 120 you can find y.

120 + 38 + y = 180

y = 180 - 120 - 38

y = 22

The coldest temperature ever recorded in New York City was -15 degress fahrenheit on February 9, 1934. The next day, the temperature rose 42 degrees fahrenheit. Write an expression for the temperature on February 10.

Answers

Answer: (-15+42=) or -15+42=

Explanation:

Which set of numbers is NOT in the solution set of the inequality x < 12

A) {-4, -3, 2, 3, 6}

B) { -1, 3, 5, 7, 9}

C) {1, 9, 10, 15, 17}

Answers

C {1, 9, 10, 15, 17}

Because 17 is greater than 12

PLS HELP!!! TIMED!!!! I need a step by step explanation of how to divide 93726 by 4!!!!

Answers

Answer: the answer is 23434

Step-by-step explanation:first divide 4 by 9 which goes only once, then you would then have 13 which would go only 3 times so 12 minus 13 which is 1 and then goes with 7 to make 17 which means it goes in only 4 times which is 16 meaning the answer is 1 again and then goes with 3 to make 13 and 4 goes in 3 times with 13 to make 12 and then you get 1 which goes into 6 to make 16 and then 4 goes into 16 4 times and then you would get an answer of 23434

Can someone help me with this problem with steps?

Answers

Answer:

x = -11

m<R: 22

m<Q: 94

Step-by-step explanation:

54 - 9x - 5 + 10 - 2x = 180

-11x + 59 = 180

-11x = 180 - 59

-11x = 121

x = -11

m<R:

10 - 2x

10 - 2(-11)

10 + 22

22

m<Q:

-9x - 5

-9(-11) - 5

99-5

94

IF YOU GET IT RIGHT ILL MARK AS BRANLIST!!! which of the following graphs show a proportional relationship?

Answers

Answer:

Its a and b if you can click them both but its not c

Answer: A

Step-by-step explanation: A goes through the origin (0,0) which makes it proportional

A man saves 8% of his salary every mon. If he saves 288
month, what is his salary?

Answers

Answer:

New monthly salary: $264.96

Step-by-step explanation:

you would first change your percent into a decimal.

our given percent is 8% = 0.08

then after that multiple by the original principal

288 x 0.08

this equation will give you 23.04

next you would then have to subtract the given product from by the original principal once again.

288-23.04

this equation will then give you your sum of $264.96

as his new monthly salary.

Which number best represents a depth of seven hundred and five-tenths meters below the ground?

Answers

Answer:

-700½ meters or -700.5 meters

Step-by-step explanation:

Usually, the depths below the ground are denoted by the minus sign.

Seven hundred and five-tenths meters mean 700+(5/10) which is equal to 700+1/2. So, the answer becomes -700½ meters or -700.5 meters.

The population of a town is decreasing at a rate of 3.2% per year. In 2015, there were 14,250 people. What is the first year that the population will be less than 10,000?
А
2026
B
2020
С
2016
D
2025

Answers

The answer is D
you would set up an equation like this
14,250 x .032
this will give you how much the population is decreasing per year. Which is 456 people per year.
You then take 2015 and find the difference between that number and 2025 and do it with all of the other years too.
For example 2025-2015 is 10 years
You then take 10 x 456 to tell you how much the of population you lost in those 10 years. You will then take that number which is 4,560 and do 14,250-4,560 to get 9,650.

Find the total surface area of a cylinder. Use 3.14 for pi

1. 201.42 m
2. 405 m
3. 414.19 m
4. 374.1 m
5. 351.68 m

Answers

Answer:

5

Step-by-step explanation:

area of a cylinder;

[tex]2\pi.r ^{2} + 2\pi.rh[/tex]

[tex] = 2\pi.r (r +h)[/tex]

[tex] = 2 \times 3.14 \times 4 \times (10 + 4)[/tex]

[tex] = 351.68[/tex]

❌❌❌WILL GIVE BRAINLIEST

Use three different values of n to demonstrate that 2n + 3n is equivalent to 5n.

Answers

Answer: n=1,2,3

Step-by-step explanation: if we plug in these numbers 2*1+3*1=5*1 this works. If we do this for 2 then we have 2*2+3*2=10 and 5*2= 10 this also works. The same thing with 3.  2*3+3*3=15     5*3=15

Hope this helps!

Deepak sold his T.V set for ₹ 14100,losing 6%. For how much did he purchase it?​

Answers

Answer:

₹14,946

Step-by-step explanation:

Tv s old for ₹14100

Deepak loses 6%

Purchase cost = Selling price + Loss cost

Purchase cost = ₹14100 + ₹14100(6%)

Purchase cost = ₹14100 + ₹846

Purchase cost = ₹14,946

one of the acute angles in a right triangle has a measure of 34.6 degrees. What is the measure of the other acute angle

Answers

Answer:

55.4

Step-by-step explanation:

The sum of the angles of a triangle is 180

If we have a right triangle, one angle is 90

The other two angles must add to 90 degrees

Let the unknown angle be x

34.6 + x = 90

Subtract 34.6 from each side

34.6+x-34.6 = 90-34.6

x =55.4

Ursula interviewed 75 people to see if they liked reading comic books. 15 of the people surveyed were males. 32 females liked comic books, and nine males liked comic books. What is the conditional frequency that a person does not like comic books given that the person is a male?

Answers

Answer:

40% or 0.4 (doesn't matter which you put they're the same)

Step-by-step explanation:

60 female

6/15

if 60 ice cream cones are served in one day,how many would you expect to be waffle cones with vanilla ice cream and rainbow sprinkles​

Answers

You should be expecting 10 each day and it goes for all of them as well because there are only 6 scenarios so 6 x 10=60

(x + 3)(x -4) simplify

Answers

Answer:

your answer is x^2 - x - 12

Answer:

x ^ 2 - x - 12

Step-by-step explanation:

(x + 3)(x -4)

xx + x(-4) + 3x + 3(-4)

xx - 4x + 3x - 3 x 4

Simplify: xx - 4x + 3x - 3 x 4

Answer: x ^ 2 - x - 12

3. ALGEBRA Nancy Boone's new automobile had an MSRP of

$27,853.00. The dealer prep charge was $278.50 and the title ſee

was $25.00. Options totaled $2,375,50. Find the sales tax rate,

to nearest hundredth percent iſ the total cost was $32 591.22

and the sales tax applied to everything but the title fee.

Answers

Answer:

The tax rate is approximately 6.75%

Step-by-step explanation:

In the question it is required to find the amount added to the total cost as tax

The given parameters are;

The Manufacturer's Suggested Retail Price, MSRP, of the automobile, MSRP = $27,853.00

The dealer prep charge, PPC = $278.50

The title fee, T = $25.00

The cost of the options added (leather, fridge, etc.), Op = $2,375.50

The total cost, C = $32,591.22

Let 'x' represent the the tax rate,

Therefore, we have;

32,591.22 = x × (27,853 + 278 + 2,375.5) + 27,853 + 278 + 2,375.5 + 25

32,591.22 = 30,506.5·x + 30,531.5

32,591.22 - 30,531.5 = 30,506.5·x

∴ 2,059.72 = 30,506.5·x

x = 2,059.72/30,506.5 = 0.06751741432 ≈ 0.0675

The tax rate, x ≈ 0.0675 = 6.75%

steve walks 3 kilometers a day how many meters does he walk in 3 days??​

Answers

Answer:

9,000 m

Step-by-step explanation:

1 km = 1,000 m

3 * 3 = 9 km

9 * 1,000 = 9,000 m

Answer:

9000m in 3 days.

hope it helps.

348.25x +5.5 ≤ 1,000

Answers

Answer:

X ≤ 2.86

Step-by-step explanation:

The subtotal of your computer purchase was $398.50. If the sales tax rate is 7.25%, how much will you pay in tax for the computer?

I will Mark Brainliest
The answer is NOT 54.97

Don't forget to convert the percent into a decimal.

Answers

Answer:

Amount of tax = 26.93 (Approx.)

Step-by-step explanation:

Given:

Cost of computer = $398.50

Sales tax rate = 7.25% = 0.0725

Find:

Amount of tax

Computation:

Amount of tax = [Cost of computer x Sales tax rate] / [1+Sales tax rate]

Amount of tax = [398.50 x 0.0725] / [1+0.0725]

Amount of tax = 26.93 (Approx.)

Help ASAP I’ll mark you as brainlister PLEASE!!’

Answers

Answer:

A = 76.8 yd²

Step-by-step explanation:

The area (A) of a regular polygon is calculated as

A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )

Here p = 8 × 4 = 32 yd and a = 4.8 yd , then

A = [tex]\frac{1}{2}[/tex] × 32 × 4.8 = 16 × 4.8 = 76.8 yd²

i need help asap with this question it’s due tonight

Answers

Answer:

The answer is 44 cm^2

I hope it helps

Answer:

44 cm

Step-by-step explanation:

math. ...........

So if you see this please help fast

Answers

Alright so you have the 5:9 ratio. So the 63 gets divide by 7 to get nine. So te other side is 5*7, which is 35. Then the next one 8*5 is 40, so you multiply 9*8 and the answer is 72.

In a recent survey of 700 people, 15% said that red was their favorite color. How many people said that red was their favorite color?

Answers

Answer:

Answer: 105

Step-by-step explanation:

In a recent survey of 700 people, 15% said that red was their favorite colour. 105 people said read was their favorite colour.

Answer:

105

Step-by-step explanation:

what is the equation of the line that passes through the point (3,-8)and has a slope of 0

Answers

Answer:

y = -8

Step-by-step explanation:

no slope so y is always the same, the y value is -8 so y = -8

Identify the expression equivalent to 16x + 24y

1. 2 (8x + 24y)
2. 8 (8x + 3y)
3. 8 (2x + 3y)
4. 4 (2x + 6y)

Answers

Correct answer is 3: 8 (2x + 3y)
3. 8(2x + 3y)

I hope it helps you out

A pachyrhinosaurus weighed approximately 4 tons and( traveled in herds but that does not matter)what would the weight of 8 pachyrhinosaurus have been in pounds?

Answers

Answer: [tex]70,547.84\ \text{Pounds}[/tex]

Step-by-step explanation:

Given

The weight of a Pachyrhinosaurus is 4 tons

We know,  [tex]1\ \text{ton}=2204.62\ \text{Pounds(lbs)}[/tex]

[tex]\therefore \text{weight of 8 pachyrhinosaurus is} \\\\\Rightarrow 8\times4=32\ tons\\\\\Rightarrow 32\ tons\approx 70,547.84\ \text{pounds}[/tex]

Use log tables to find the value of 0.8176x13.64

Answers

Answer:

x=11.06

Step-by-step explanation:

Solve for X! 30 points! Please help!

Answers

2x-21=x-9
X=12
Hope this helps!

Find the tangent of angle U.
A) 48/55
B) 48/73
C) 55/48
D) 55/73

Answers

Answer:

C. 55/48

Step-by-step explanation:

perpendicular (p) = 55

base (b) = 48

Tangent < U = p /b = 55 /48

In triangle TUV, the tangent of angle U would be tan U = 55/58. Hence option C is true.

Used the formula of the tangent of an angle that states,

Tan θ = Opposite / Base

Given that,

A triangle TUV is shown in the image.

Now by definition of the tangent of an angle,

tan U = TV/UV

Substitute TV = 55 , UV = 48;

tan U = 55/58

Therefore, Option C is true.

To learn more about the angle visit:

https://brainly.com/question/25716982

#SPJ6

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