The height, h in feet, of a rocket is given by h=-16t^2+64t+190, where t is time in seconds. Find the maximum height of the rocket and find the time the rocket was in the air.

Answers

Answer 1

Step-by-step explanation:

The height, h in feet, of a rocket is given by, where t is time in seconds.

[tex]h=-16t^2+64t+190[/tex] ...(1)

We need to find the maximum height of the rocket and find the time the rocket was in the air. For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]

[tex]\dfrac{d(-16t^2+64t+190)}{dt}=0\\\\-32t+64=0\\\\t=\dfrac{64}{32}\\\\t=2\ s[/tex]

So, it will reach its maximum height in 2 seconds.

Now put t = 2 in equation (1) as follows :

[tex]h(2)=-16(2)^2+64(2)+190\\\\=254\ \text{feet}[/tex]

So, the maximum height of the rocket and find the time the rocket was in the air is 254 feet and 2 seconds respectively.


Related Questions

Natalie wants to start a business, she is going to make bracelets. She spends $40 for a braiding device and materials to start her business. Each times she makes a bracelet it costs her $8 in materials and packaging. Natalie sells her bracelets for $8 each.

Answers

y=9+9 because when you take that factor off you add 8 + 1

what is (10 - 3 x 2) to the power of 2?
Please help!

Answers

Answer:

The answer is 16

Step-by-step explanation:

Multiply  -3 by 2

(10-6)^2      ^2=power

subtract 6 from 10

4^2

Raise 4 to the power of 2

 16

.

Answer:

16

Step-by-step explanation:

= (10 - 3 x 2) ^ 2

= (10 - 6) ^ 2

= 4 ^ 2

= 16

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Can u help my 9-12 real quick

Answers

Answer:

9. B

10. C

11. A (probably)

12. D

Answer:

9) a

10) c

11) a

12) d

( I don't know if 11 and 12 are correct)

If three coins are tossed, how many outcomes are favourable to getting 1 head a 2 tails. Present the answer as a fraction.

Answers

Answer:

There are 8 possible outcomes

h h h

t t t

h t h

t h h

h h t

h t t

t t h

t h t

One head and 2 tails occurs in the sixth, seventh and eighth rows.

So, the probability is 3 out of 8 or 3/8 or .375

Step-by-step explanation:

1. If g(x)= 4(3)* then g(-2)= ?


Help please

Answers

Answer:

-8

Step-by-step explanation:

Assuming that the in parentheses is what we are supposed to change (3)..We would replace the three with the negative two this means that we will solve for four times -2 which equals -8.Hope this helps!

The mean age of five people in a room is 24. One of the people (age 40) leaves the
room. The mean age of the remaining four people is

Answers

Answer:

thxss for the points love

Step-by-step explanation:

kisses

Answer:

16

Step-by-step explanation:

Why does the sequence of translating and reflections matter?

Answers

Answer:

If two or more of the transformations have a vertical effect on the graph, the order of those transformations will most likely affect the graph. If two or more of the transformations have a horizontal effect on the graph, the order of those transformations will most likely affect the graph.

Step-by-step explanation:

Hope this helps you with your math

PLEASE HELP WITH THIS!

Answers

Answer:

42

Step-by-step explanation:

Answer:

The answer would be (A.)

Step-by-step explanation:

Can you answer my question that i just posted please and thank you :)


The student council made a pront of $3,000 on a car wash. If they invest the money at 5% interest
compounded yearly, how much money would they have in four years?

Answers

Answer:

$3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.

Step-by-step explanation:

We are given:

Principal Amount = $3000

Interest Rate r = 5% or 0.05

n=1 (compounded yearly)

Years t= 4

We need to find future value (A)

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values in formula and finding future value A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=3000(1+\frac{0.05}{1})^{1*4}\\A=3000(1+0.05)^4\\A=3000(1.05)^4\\A=3000(1.215)\\A=3375[/tex]

So, $3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.

CORRECT ANSWER GETS BRAINLIEST !
Vana lives 6 miles from the library and 18 miles from the museum . To the nearest mile . What is the shortest distance from the museum to the library ?
A.16mi
B.17mi
C.19mi
D.20mi

Answers

Answer:

C

Step-by-step explanation:

I just took the quiz :D

May I have Brainiest???

A possible reason for inaccurate measurement

Answers

Answer:

Random Errors. Random errors are ones that are easier to deal with because they cause the measurements to fluctuate around the true value. ...

Systematic Errors. ...

What Causes Measurement Errors? ...

Instrument Errors. ...

Calibration. ...

Instruments Getting Old. ...

Operator Errors. ...

Measurement Location Errors.

Step-by-step explanation:

The equation that represents the linear relationship is y =

Will give brainlist

Answers

Answer: Y=150

Step-by-step explanation: SIMPLE MATH

You want to buy a new TV the has a regular price of $450. It is on sale for 20% off.

What is the amount of discount?
$95.40

What is the sale price?

Answers

Answer:

you just have to be poggers and the answer will come to you

Step-by-step explanation:

A state university is interested in where its students come from. They survey 300 of its students to find out if they are in-state, out-of-state, or foreign students. Match the vocabulary word with its corresponding example.

All students at the university
The proportion of the 300 surveyed students who are in-state students
The list of the 300 answers to the survey question
The answer in-state out-of-state or foreign
The 300 students who were surveyed
The proportion of all students from this university who are in-state students
population
Statistic
Data
Variable
Sample
Parameter

Answers

Answer:

The correct matches are;

All students at the university → Population

The proportion of the 300 surveyed students who are in-state students → Statistic

The list of the 300 answers to the survey question → Data

The answer in-state out-of-state or foreign → Parameters

The 300 students who were surveyed → Sample

The proportion of all students from this university who are in-state → Variable

Step-by-step explanation:

1) The population is the set that contains total number of possible observation in the question, the population is all the students of the university

2) A statistic is a calculated quantity derived from a sample's data value that can be used in estimating a parameter of the population or outlining a sample characteristic

The proportion of the in-state student in the sample is found by taking the ratio of the number of in-state student in the sample to the total number of student in the sample

3) Data are collected information which may be qualitative or quantitative variables

The answers collected in the survey are the data of the 300 surveyed student

4) A parameter is the value that is used as the means of measuring or classifying an item or system

5) A sample is a part or portion of a population, that serves as representative of the population

6) A variable is a quantity that can vary or cannot be said to be constant.

The number proportion of all students from the university who are in-state students can change due to change in the proportion during graduation and admission.

The vocabulary word when correctly matched to the corresponding example would give:

All students at the university

Population

The proportion of the 300 surveyed students who are in-state students

Parameters

The list of the 300 answers to the survey question

Data

The answer in-state out-of-state or foreign

Variable

The 300 students who were surveyed

Sample

The proportion of all students from this university who are in-state students  population

Statistic

Read more about statistics here:

https://brainly.com/question/12150562

20 points and brainliest.

Answers

Answer:

c.

Step-by-step explanation:

f(x)=3x+5

y=3x+5

x=3y+5

x-5=3y

y=(x-5)/3

y=1/3x-5/3

PLEASE HELPPPPP MEEE♥️♥️♥️♥️​

Answers

Answer:

[tex](.2246 \\ 5513[/tex]

Complete the equation of the line through (3,-1) and (4,7)

Answers

Answer:

y=8x-25

Step-by-step explanation:

I put my work in the picture I attached

Answer:

y=8x-25

Step-by-step explanation:

1) You find the slope by doing y2-y1/x2-x1 (so 7-(-1)/4-3) then you get the slope of 8

2) then you plug in some points using the slope (I'll use the point (3,-1)) : -1=8(3)+b

3) to find "b", you solve: -1=24+b --> b=-1-24 --> b=-25

4) then you put everything together and you get y=8x-25

Choose the point-slope form of the equation below that represents the line that
passes through the points (-6, 4) and (2, 0). (2 points)
1) y - 4 =-1/2 (x+6)
2) y - 4 = 2(x + 6)
3) y+6=-1/2(x - 4)
4) y + 6 = 2(x - 4)

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Straight lines.

Since the slope of the line, m = -1/2

and we know that, line equation is, y=mx+c

so the answer is, option 1.)

1.) y-4 = -1/2 (x+6)

A stick is 20cm long.A student makes a 5% error in measuring the stick. find two possible values for the student's measurement​

Answers

The two possible measurements given by the student are :

19 cm or 21 cm

Given the Parameters :

Length of stick = 20 centimeters Percentage Error in measurement = 5%

The length of the error in measurement can be calculated thus :

Percentage error in measurement × length of stick 20 cm × 5% = 1 cm

Therefore the student's measurement can be expressed as :

Actual measurement ± actual length 20 - 1 or 20 + 1 19 or 20

Therefore, the possible measurements of the student are 19 or 21 cm

Learn more : https://brainly.com/question/18796573

i need help asap......

Answers

I only know the labels I’m not sure abt the rest. K = (-4,4) L= (4,4) M = (4,-4) N = (-4,-4)

Josh and Corey met up for lunch. When they were done, Josh traveled 8 blocks east and Corey traveled 4 blocks west. How many blocks away from Josh was Corey?

Answers

Answer:

12

Step-by-step explanation:

Since they traveled in opposite directions, we would add the 2 numbers!

8+4=12.

WILL MARK BRAINIEST IF RIGHT
(AMC8, 2008) In square ABCE, A F = 2FE and CD = 2DE. What is the ratio of the area △BDF to the area of square ABCE?
A. 1/6 B. 2/9 C. 5/18 D. 1/3 E. 7/20

Answers

Answer:

The answer is A

Answer:

C

Step-by-step explanation:

Shelly pays $22.75 for 3.5 yards of fabric. What is the price per yard of fabric?

Answers

Answer:

Price per yard is $6,5

Step-by-step explanation:

22.75/3.5 = 6,5

$6.5 per yard of fabric

A cell phone tower casts a shadow 150 feet long. A tree nearby that is 30 feet tall casts a shadow that is 20 feet long. How tall is the cell phone tower

Answers

Answer:

[tex]90,000^{3}[/tex] (90,000 cubed)

Step-by-step explanation:

150 x 30 x 20

Determine which of the values is a solution of 14>22−2z. My options are 2, 5, 7, 3, -4, 0

Answers

Answer:

I think -4

Step-by-step explanation:

the graph below shows a proportional relationship between x and y. what is the constant of proportionaliy y/x​

Answers

Answer:

it is 4 i just did it

Step-by-step explanation:

Answer:

Four

Step-by-step explanation:

4

Two classes are having pizza parties. Ms. Rodriguez’s class decides to order enough so that every 3 students will have 2 pizzas. Mr. Becker’s class decides to order enough so that every 5 students will have 3 pizzas. Complete the following statements. You can enter whole numbers, decimals rounded to the hundredths place, or simplified fractions.


Each student in Ms. Rodriquez’s class will get _____ of a whole pizza.
Each student in Mr. Becker’s class will get _____ of a whole pizza.

Answers

Answer:

2/3

3/5

Step-by-step explanation:

Evaluate each value expression for the given value of x: 22-x/5 , x=20

Answers

Answer:

18

Step-by-step explanation:

or

for taking sq root:

x=√10 or x=−√10

y’all what is 1/7=1/7x-3

Answers

Answer:

x=22

Step-by-step explanation:

Sandra can run 5 miles per hour. Write an equation to show the relationship between the amount of hours, h, and the total distance, d. Explain how you got your answer.

Answers

Answer:

d=5h because the number of hours run multiplied by 5 would equal the

total distance.

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