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 out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+161x+108
y=−16x
2
+161x+108

Answers

Answer 1

Answer:

5.03secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

y = -16x^2 + 161x + 108

The rocket reaches it max height when its velocity is zero

Velocity is expressed as;

V(x) = dy/dx  = 0

dy/dx = -32x + 161

0 = -32x + 161

32x = 161

x = 161/32

x = 5.03

Hence it will take 5.03secs for the rocket to reach its maximum height


Related Questions

Help please!
The answer choices are -3.73, 1.58, 3.00, and 3.73

Answers

Answer:

I think its 2.73 not sure tho

Step-by-step explanation:

Answer:

I got 3.73 (I am sorry if I am wrong I haven't done it in a while but I hope this helps!)

Step-by-step explanation:

help me plz.................

Answers

Answer:

[tex]\frac{1}{8}[/tex] cup

Step-by-step explanation:

[tex]y=\frac{7}{8} -\frac{1}{4}-\frac{1}{2}[/tex]

[tex]y=\frac{7}{8}-\frac{2}{8}-\frac{4}{8}[/tex]

[tex]y=\frac{7}{8}-\frac{6}{8}[/tex]

[tex]y=\frac{1}{8}[/tex]

HELP WILL MARK BRAINLEST
no files nd no pictures

Answers

Answer:

6xsquared +9x + 12

HELP PLSS I HAVE 10 minutes

Answers

Answer:

h≈1.43

Step-by-step explanation:

Simply ,Square the radius, and then divide the radius squared into the tripled volume. For this example, the radius is 2. The square of 2 is 4, and 300 divided by 4 is 75. Divide the amount calculated in Step 2 by pi, which is an unending math constant that begins 3.14, to calculate the cone's height.

A popular game requires the player to select the same five numbers out of a set of allowed numbers that will be drawn at random by the lottery commission. For the next game, if you select the five numbers that won in the most recent prior drawing, your chances of winning will:

Answers

Options:

A.) decrease because the same five numbers are not likely to occur again so soon.

B.) Increase because those five numbers must be lucky.

C.) be unaffected because every set of five numbers is equally likely on every attempt.

D.) be unknown because it depends on how many times those five numbers have won in the last several drawings.

Answer:

be unaffected because every set of five numbers is equally likely on every attempt.

Step-by-step explanation:

Number selection in the lottery is randomized with each set of number having equal chances of being selected. This means that each and every selection attempt is independent and the outcome of each attempt does not depend on any prior outcome or event. This means that if the numbers drawn from the most previous prior drawing are selected on the next attempt, the probability of winning on the next attempt Neither increases nor decreases. Hence , the probability of winning on the next attempt with this selection is unaffected.

Give two examples of line segments that will make a triangle ?

Answers

Answer:

If the length of any one side is greater than the sum of the length of the other two, the line segments cannot be used to create a triangle. It is possible to create a triangle using 3 line segments if the sum of the lengths of any two line segments is greater than the length of the third.

You invest $17,804 in a CD that has a 6.275% annual interest rate, compounded continuously. How much will you have in 25 years?Round to the nearest cent.

Answers

Answer:

R = 3.813% per year.

Step-by-step explanation:

A = Accrued amount (principal + interest) P = Principal amount r = Annual nominal interest rate as a decimal R = Annual nominal interest rate as a percent r = R/100 n = number of compounding periods per unit of time t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years. I = Interest amount ln = natural logarithm.

Use Guauss-jordan elimination to solve the following linear system.
5x - 2y = -2
-x + 4y = 4

Answers

Answer:

wdym

Step-by-step explanation:

Corbin can shoot 24 baskets In 3 minutes. Which table best
represents this relationship?

Answers

Answer:

Table C

Step-by-step explanation:

This is the proportional relationship:

y = kx

We have x = 3, y = 24, then k is:

24 = 3k k = 8

The table will look as:

x = 1 ⇒ y = 1*8 = 8x = 2 ⇒ y = 2*8 = 16x = 5 ⇒ y = 5*8 = 40

Correct choice is C

Answer:

c

Step-by-step explanation:

ANSWER THE QUESTION IN THE PIC BELOW PLEASE

sorry if the pic is blurry if u can't tell what it says beside the line it says 4 in and at the bottom it says 8 in

Answers

The area to the question is 32

First you will examine how reflections affect the orientation and location of quaunder
Part A
Predict what will happen to the coordinates of a point (x, y) as the point reflects across a line to produce point (x,y). Choose the x-axis, y-axis, y = x
and y = -x for the lines of reflection. Express your answers in terms of x and y. (Be sure to watch your signs.)
B T U x X Font Sizes AA- :
E 2
Line of reflection Xy
X-axis
y-axis
-X
7:11 PM
4/19/2021
O
994
Type here to search

Answers

Answer:

x -y

-x y

y x

-y -x

Step-by-step explanation:

that's its

please answer it's easy ​

Answers

Answer:

did not see that coming

Step-by-step explanation:

Got rickrolled

I just got Rick rolled

Bart owns a neighborhood Kwik-E-Mart. At the end of the day on Wednesday, he counted total receipts in his store of $8,399.70. If the sales tax on food items is 2%, how much merchandise did Bart sell on Wednesday? How much sales tax did he collect?

Answers

Wow. That’s a lot of earnings

What is the ratio of 24 volts to 3 volts?

Answers

Answer:

8 : 1

Step-by-step explanation:

24 volts : 3 volts

= 24 : 3

= 24 / 3

= 8

= 8 / 1

= 8 : 1

The ratio of 24 volts to 3 volts 8 : 1.

We have given that,

The ratio of 24 volts to 3 volts

What is the ratio?

The quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

24 volts : 3 volts

= 24 : 3

= 24 / 3

= 8

= 8 / 1

= 8 : 1

Therefore, The ratio of 24 volts to 3 volts 8 : 1.

To learn more about the ratio visit:

https://brainly.com/question/2328454

#SPJ2

Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!

Answers

Answer:

Omg  im a big fan anything for you the answer is d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

.

Select the correct answer.
Tim works for a cell phone company and is testing their new biometric security feature.
He conducted a test in which 4,000 attempts were made to unlock the phone. Of the attempts to unlock the phone, 25% were made by someone other than the phone's
owner. The results of the test are shown in the table.
Total
Unlocked
2,418
232
Owner
Not the Owner
Total
Did Not
Unlock
582
768
3,000
1,000
4,000
2,650
1,350
What is the probability that someone who is able to unlock the phone using the biometric security feature is not the owner?

Answers

The probability that someone who is able to unlock the phone who is not the owner will be 5.8%. Then the correct option is D.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Tim works for a cell phone company and is testing their new biometric security feature.

He conducted a test in which 4,000 attempts were made to unlock the phone. Of the attempts to unlock the phone, 25% were made by someone other than the phone's owner.

The results of the test are shown in the table.

                             Unlocked               Did Not Unlock               Total

Owner                     2418                            582                           3000

Not the Owner        232                             768                            1000

Total                       2650                            1350                          4000

Then the probability that someone who is able to unlock the phone using the biometric security feature is not the owner will be

P = 232 / 4000

P = 0.058

The probability in percentage will be

P = 0.058 x 100

P = 5.8%

Then the correct option is D.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

8.8%

Step-by-step explanation:

I did the test.

You want to be able to withdraw $40,000 each year for 15 years. Your account earns 9% interest. How much
do you need in your account at the beginning?

Answers

Answer:

40000×1×9%=3 600 this is for year

You had $25 to spend on eight avocados.
After buying them you had $9. How
much did each avocado cost?

Answers

Answer:

Each avocado costs $2

Step-by-step explanation:

subtract 9 from 25 and get 16

divide 8 by 16 and you have $2

A publisher has orders for 600 copies of a certain text from San Francisco and 400 copies from Sacramento. The company has 700 copies in a warehouse in Novato and 800 copies in a warehouse in Lodi. It costs $5 to ship a text from Novato to San Francisco, but it costs $10 to ship it to Sacramento. It costs $15 to ship a text from Lodi to San Francisco, but it costs $4 to ship it from Lodi to Sacramento. How many copies should the company ship from each warehouse to San Francisco and Sacramento to fill the order at the least cost

Answers

Answer:

Ship : 600 copies from Novato and 400 copies from Lodi to fulfill order at least cost ( $4600 )

Step-by-step explanation:

Order size :

600 Copies of texts from San Francisco and

400 Copies of texts from Sacramento.

Available notes in the company

700 copies of texts in Novato

800 copies of texts  in Lodi

Cost of sending copies of texts

Novato to San Francisco = $5

Novato to Sacramento = $10

Lodi to San Francisco = $15

Lodi to Sacramento = $4

considering Novato

700 copies are available hence the the least cost will be

600 * $5 ( to Francisco ) = $3000

considering Lodi

800 copies are available hence the least cost will be

400 * $4 ( to Sacramento ) = $1600

Therefore the least cost = $3000 + $1600 = $4600

Explain the difference between linear, exponential, and quadratic functions in terms of their graphs, their patterns, and their rates of change.

Answers

Answer:

Quadratic functions are those where their rate of change changes at a constant rate. Exponential functions are those where their rate of change is proportional to itself.

An example of a quadratic function would be the shape that a ball makes when you throw it. Gravity causes a constant acceleration, the ball slows down as it is moving up, and then it speeds up as it comes down.

An example of an exponential function would be the population of a bacterium as long as there is enough space and nutrients or how your money grows with compound interest in a bank.

A quadratic function is one in the form

f(x)=ax2+bx+c  

It’s rate of change (first derivative) is linear.

f′(x)=2ax+b  

The rate of the rate of change (second derivative) is constant.

f′′(x)=2a  

Quadratics are then the solutions to the differential equation

f′′=C  

An exponential function is one in the following form.

g(x)=Aekx  

It’s rate of change is another exponential function.

g′(x)=Akekx  

So exponentials are the solutions to the differential equation

g′=kg

Step-by-step explanation:

Yes. : )

Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip to kings castle gray wolf runs at that original constant speed for the first 36 km then runs the rest of the way 3 km/h faster. what was grey Wolf original speed if the return trip took 15 minutes less than the trip from kings castle to magic apple garden? (List what the original speed of grey wolf can be)

Answers

Answer:

9 km/h or 48 km/h

Step-by-step explanation:

Let the distance is d, speed is s

As per given we have:

d/s = 536/s + (d - 36)/(s + 3) = 5 - 1/4

Substitute d with 5s and solve for s:

36/s + (5s - 36)/(s + 3) = 19/436(s + 3) + s(5s - 36) = 19s(s + 3)/44(36s + 108 + 5s² - 36s) = 19s² + 57s20s² + 432 = 19s² + 57ss² - 57s + 432 = 0s² - 9s - 48s + 432 = 0s(s - 9) - 48(s - 9) = 0(s - 9)(s - 48) = 0s -9 = 0 ⇒ s = 9 km/hs - 48 = 0 ⇒ s = 48  km/h

The original speed of grey wolf can be 9 km/h or 48 km/h

I need help. This is due later today.

Answers

Answer:

the first one

Step-by-step explanation:

Hunh put $3000 into a savings account that earns 6% simple interest annually. After six years, how much money will Hunh have?

Answers

Answer:

4,080.00

Step-by-step explanation:

The total amount accrued, principal plus interest, from simple interest on a principal of $3,000.00 at a rate of 6% per year for 6 years is $4,080.00.

Solve for x: wx-x=d
w does not equal 1

PLEASE HELP NEED ASAPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR

Answers

Answer:

x=w/1+yz

Step-by-step explanation:

Hope this helped!

What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work? (3 points) 30 pointss pls answer hurry

Answers

Answer:

The other guy's correct!

Step-by-step explanation:

The line passes through the points (3, 7) and (4, 9)

Answers

Answer:

I'm confused as to what your asking?

Answer:

y= 2x +1

Step-by-step explanation:

slope 9-7/4-3 = 2/1= 2

y-7 = 2(x -3)

y-7 = 2x -6

y = 2x +1

Moira solved a problem on the board. What error did Moira make and how can she correct it?

12x + 10 = 54 - 10x
12x + 10 - 10 = 54 - 10x - 10
12x = 44 - 10x
12x - 10X = 44 - 10x + 10x
2x = 44
X = 22

A- On the left side of the equation, Moira should have subtracted 10x, and on the right side of the equation, Moira should have added 10x.

B- On the left side of the equation, Moira should have added 10x, and on the right side of the equation, Moira should have subtracted 10x.

C- On the left side of the equation, Moira should have added 10x, and on the right side of the equation, Moira should have also added 10x.

D- On the left side of the equation, Moira should have subtracted 10x, and on the right side of the equation, Moira should have also subtracted 10x.

Please I really need it

Answers

Answer:

C

Step-by-step explanation:

What you do on one side of the equation, you do to the other. She added 10x on the right side and subtracted 10x on the left when she should have added 10x on both sides.

Work out
44.09
% of
78.76
cm

Answers

Answer:

34.72

Step-by-step explanation:

44.09/100 × 78.76

=34.72

You are going on a road trip over a distance of 3000 miles with three friends. The car consumes 6 gallons of gas per 150 miles and gas costs $1.20 per gallon. If you want to split the cost of gas evenly between the four of you, how much should each of you pay? Please show step by step. Please HELP!! Answer soon. ​

Answers

Answer:

$54

Step-by-step explanation:

[3,000 / 100] x 6 = 180 - Liters of gas will be used on a 3,000 Km trip.

180 x 1.20 = 216 - total cost of gas over 3,000 Km trip.

216/4 = $54 - share of each one of the 4 people

Which ordered pair is on the x axis?

Answers

Answer:

0,0

Step-by-step explanation:

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