A model rocket is launched with an initial upward velocity of 188 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
h=188t-16t^2

Find all values of for which the rocket's height is 92 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)

Answers

Answer 1

Answer:

0.51 and 11.24 seconds.

Step-by-step explanation:

The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:

[tex]h(t)=188t-16t^2[/tex]

And we want to find all values of t for which the rocket's height is 92.

So, we can set h(t) = 92 and solve for t:

[tex]92=188t-16t^2[/tex]

We can divide everything by four:

[tex]23=47t-4t^2[/tex]

Rearrange the equation:

[tex]4t^2-47t+23=0[/tex]

We can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 4, b = -47, and c = 23. Substitute:

[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]

Hence, our two solutions are:

[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]

So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.


Related Questions

l-Ready
» Put gold bars into the machine to
produce exactly 21 gold cats.
Tap the reset button to start over.
cey Car
Go

Answers

Answer:

Step-by-step explanation:

780 is what percent of 540?

Answers

Answer:

144.44%

Step-by-step explanation:

780/540 = 1.44444 * 100 (for each percent) = 144.44 %

Answer:

69.23

Step-by-step explanation:

Hope This helped!

The diameter of a circle is 11 ft. Find its area to the nearest tenth.

Answers

Answer:

95.0 ft²

Step-by-step explanation:

r = d/2

r = 11/2

r = 5.5

Area of circle formula

a = πr^2

a = π (5.5)²

a = 3.14 * 30.25

a = 94.985

Rounded

a = 95.0

I'm not sure if it's correct but it might 95.03^2ft

Line BC is a tangent line to the circle centered at A. If angle BAC is 64 degrees, what is the measure of angle ACB? Explain/show your reasoning.

Answers

Answer:

Step-by-step explanation:

BC is tangent to the circle at point B.

Alaina surveys 75 of her classmates and finds that 48% of them like to eat tacos. She also finds that 60% of her 45 relatives like tacos. How many more of her classmates like tacos as compared to her relatives?

Answers

Answer:

48% of 75 is 36 so then 60% of 45 is 27, so then we do simple subtraction and do 36-27 which gives us 9

Step-by-step explanation:

En aquest moment, la diferència de preu entre dos cotxes és de 987€. Quina serà la nova diferència si el model més car disminueix 50€ en el preu i el més econòmic augmenta en 200€?

Answers

Answer:

Step-by-step explanation:

Use the data set and line plot below. How many feathers are


2


1


4


inches or shorter?



A data set titled



A line plot named



A.


8



B.


12



C.


15



D.


5

Answers

Answer:

The answer is B

I hope help you

Answer:

the correct answer for this equaction is B i think hope this helps!..

Step-by-step explanation:

Please help with this using the chain rule

Answers

Answer:

a is the answer

Step-by-step explanation:

y = ( x^2 +2x+ 5 )^6,

let u be equal to x^2 + 2x + 5

y = u^6 '

dy|du = 6u^5, du|dx = 2x + 2

dy|dx = dy|du × du|dx = 6u^5 ×( 2x + 2 )

= 2( x + 1) × 6u^5 = 12 ( x + 1 )( x^2 + 2x +5)^5

Another one, almost done!

Answers

Answer:

it's black

Step-by-step explanation:

I can't see the question.

the image is blank lol

You have a moving box with a volume of 16 ft3. You know that the box has a length of 2 ft and a height of 4 ft, but you don’t know the width. You need to know all three dimensions to make sure it can fit in the back of the truck. What is the width of the box?
3 ft
4 ft
2 ft
5 ft

Answers

Answer:

2ft

Step-by-step explanation:

The width of the box is 2 ft.

Here,

Volume of box = 16 ft^3

Length of box = 2 ft

Height of box = 4 ft

We have to find the width of box.

What is Volume of box?

The volume of box is defined as, the multiply of length, width, height.

Now,

Volume of box = 16 ft^3

Length of box = 2 ft

Height of box = 4 ft

Since, Volume of box = Length x width x height

Let width of box is x ft.

Volume of box = 2 * x * 4

16 = 8x

x = 2

Hence, The width of the box is 2 ft.

Learn more about the volume visit:

https://brainly.com/question/15102472

#SPJ2

HELLLLLPPPPPP MEEEEEE PLLLLEAAAASSEEEEW!!!!

Answers

3. primal. 4. venture. 5. venture

can ace and expert help me​

Answers

Answer:

D

Step-by-step explanation:

math also i gtg cya :D

A sequence starts 5 10 20 40 80
What is the term to term rule of the sequence?

Answers

Answer:

Finding the 6th term is really easy, we can simply double two more times to get 5, 10, 20, 40, 80, 160.

Step-by-step explanation:

Lee is buying roses. If each rose costs $2, which equation does not describe how many roses Lee might buy for $24?

Answers

Answer:

[tex](a)\ y = 2x[/tex]

[tex](b)\ x= 12[/tex]

Step-by-step explanation:

Given

[tex]rose = \$2[/tex]

Solving (a): The equation

Let

y = total amount

x = number of roses

So:

If [tex]x = 1, y = 2[/tex]

If x = x.

[tex]y = 2* x[/tex]

[tex]y = 2x[/tex]

Solving (a): Number of roses for $24

This implies that

[tex]y = 24[/tex]

So:

[tex]y = 2x[/tex]

[tex]24 = 2x[/tex]

Divide both sides by 2

[tex]12 = x[/tex]

[tex]x = 12[/tex]

Find the missing number and thank for answer

Answers

Answer:

15

Step-by-step explanation:

Hope this helps

add 12 and 3 and you get 15

multiply 8 and 5 and you get 40

subtract 40 from 15 you get 24

yeeeeeeeeeeeeeeee

1. Triangle ABC is similar to XYZ
24 cm
6 cm
30 cm
7.5 cm
18 cm
8
What is the value of n in centimeters?
A. 9 cm
B. 4.5 cm
C. 3 cm
D. 12 cm

Answers

Answer:

A, 4.5

Step-by-step explanation:

6^2 + n^2 = 7.25^2

36 + n^2 = 56.25

56.25 - 36 = 20.25

√20.25 = 4.5

1/2 lbs of flour is put in a jar. If it fills 2/5 of the jar, what quantity of flour can jar?

Answers

Answer:

1 1/4 pounds

Step-by-step explanation:

1/2 ÷ 2/5 = 5/4

A museum announces that it has just had its 1.326,871 visitor. What is the value of the digit 6 in 1.326,871? ​

Answers

Answer:

1,000

Step-by-step explanation:

i to the test djdjsjsjsj


y = -2/3x+ 4
IN STANDARD FORM

Answers

Answer:

4x−5y=−10 hopefully this helps

Answer:

2x+3y = 12

Step-by-step explanation:

multiply 3 and 4

multiply -2 by -x

multiply y and 3

Summary:

2x+2y = 12

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

find the length of side x in simplest radical form with a rational denominator

Answers

Answer:

7

Step-by-step explanation

i did this

A school has an equal amount of boys and girls. You use a coin to simulate the first three students to arrive at school each day, where "heads" represents a boy and "tails" represents a girl. The table below shows a sample of 20 coin tosses

Find the the experimental probability that the first three students that arrive at school are boys.

No links please! I will reward brainliest for the correct answer. Thanks.​

Answers

Answer:3/20

Step-by-step explanation:

Heads=Boy

Tails=Girl

If the first 3 students are boys, all 3 coins must be heads.

Because in 3 of these experiments, the coins all land on heads, and there are 20 experiments completed, 3 out of the 20 experiments are 3 boys; 3/20.

Solve each system by elimination.
3) -4x+6y=-14
4x – 8y = 16
A) (2, -1)
B) (-1,2)
C) (4,1) D) (2, 1)

Answers

Answer:

M=2/3

m=1/2

Step-by-step explanation:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.

The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.

PLS HELP
Two students are comparing scientific experiments to investigations. They came up with the following ideas.

Student A: Testing plant growth in different types of soils
Student B: Comparing the water level in a lake during different times of the year

Which student gave an example of a scientific experiment?

Student A because it requires experimental and control groups
Student B because it requires a hypothesis
Student A because it is preferably done in natural settings
Student B because it is preferably done across a long period of time

Answers

Answer:

a

Step-by-step explanation:

A because it requires experimental and control groups

is this equation have a solution or not
y = [tex]\frac{3}{4}[/tex] x
3x - 4y = 0

Answers

Answer:

No solution.

Step-by-step explanation:

y + 3x - 4y = 0 + 0.75x

- 3y + 3x = 0 + 0.75x

- 3y + 3x - 0.75x = 0 + 0.75x - 0.75x

- 3y + 2.25x = 0

Every morning Nora makes five gallons of her refreshing lemonade. Each order of lemonade is exactly one cup.

How many cups of lemonade can she sell each day before she runs out?

Answers

Answer:

80 cups

I had writtened 80 cups then thought i was wrong.

sorry.

Step-by-step explanation:

Answer:

Step-by-step explanation:

16 US cups are in 1 US gallon. So 16x5 =50

Find the surface area!
Thank you!!

Answers

Answer:

[tex]SA= 720 m^2[/tex]

Step-by-step explanation:

[tex]x=\sqrt{5^2+12^2}=13m[/tex]

[tex]AS=2*1/2*12+12*22+5*22+13*22[/tex]

[tex]= 60+264+110+13*22[/tex]

[tex]AS= 720m^2[/tex]

⋆┈┈。゚❃ུ۪ ❀ུ۪ ❁ུ۪ ❃ུ۪ ❀ུ۪ ゚。┈┈⋆

hope it helps...

have a great day!!

Answer:

SA=720m^2

Step-by-step explanation:

hope it helps you ..

In the figure shown above, all the comers form right angles. What is the area of the figure in square units?

A. 31 square units

B. 62 square units

C. 102 square units

D. 120 square

Answers

Answer:

D. 120 squared

Step-by-step explanation:

102 would be correct because of how the areas are added into .

perry bought 5 nectarines for $4. how many nectarines can amanda buy if she has 16$

Answers

Amanda can buy 20 nectarines with $16
Amanda buys 20 with $16

please help me with my maths prep...........

Answers

Answer:

uumm

Step-by-step explanation:

Noah saw some worms in his garden. He measured the length of each worm.
How many worms were longer than 3 inches?

Answers

Answer:

9 worms are longer than 3 inches

Step-by-step explanation:

you can just count how many are in in the rows after 3 and that is your answer

Other Questions
Why is the number 4 not a real number? (In case you couldn't tell, it says the square root of negative 4)Select one:A. It contains a negative sign.B. It contains a square root.C. It contains the square root of a negative number.D. It is a real number. I think no one will answer by question correctly but if anyone does i would appreciate it so much that I'd give you 5 stars, a thanks, and brainliest.My question: Why might you add marks and numbers to a thermometer? Where would you put them? Flip both coins 50 times and record your data in a table like the one below. Select all the statements that are true in all cases. The expressions x + x and x2 are equal. The expressions x + x and 2x are equal. The expressions (x) (x) and x2 are equal. The expressions (x) (x) and 2x are equal. Qu piensan las muchas mujeres sobre los estndares de belleza actueles?No piensan en este temaPiensan que son muy altosQue solo sirven para satisfacer el gusto de los hombresQue son muy fciles de alcanzar 10 points each answer and brainliest (picture shown)The diagram below shows four positions of Earth around the sun. In which of these positions will the Earth move the fastest?Position APosition BPosition CPosition D What was the German air force called?A. The RAF (Royal Air Force)B. The Panzer divisionC. The ReichstagD. The Luftwaffe Which numbers line correctly shows 4.5 - 2.5.? HELP FAST!!! find surface area and 136.224236248 oops I forgot -.-||| Answer correctly for brainlist An economic system that mostly allows businesses to operate freely butrequires them to follow some government regulations is a:A. market economyB. traditional economy.C. mixed economy.D. command economy. Are you willing to sacrifice your individual freedoms for the idea of national security?? help please Which answer best describes MLA format for essays?A. 1" margins, class information, doublespaced, 12 point fontB. 12 pt Times New Roman, 1" margins, doublespaced, running header, class information, title centered, doublespaced, 1/2" tabsC. 12 pt Times New Roman, 1" margins, doublespacedD. 1-1/2" margins, running header, class information, title centered, 1" tabs, double spaced, except inbetween paragraphs Define and analyze the legacy of systemic racism throughout Americanhistory by connecting Reconstruction policies to racial injustice in oursociety today Read the excerpt to answer the question. In this essay, Phyllis Schlafly argues that "American women have never had it so good." Which of the following is the best statement regarding this conclusion? what is the probability of choosing a jack or an ace from a deck of cards type your anwser as a fraction What is HTML? (list down any 5 points) 2. What is the main function of the a Reproductive System which detail in excerpt supports the theme "you should be kind to others" What advantage did aircraft most contribute to World War 1?A. They moved troops to the front quicklyB. They moved wounded troops from the field.C. They diverted the war away from the trenches.D. They allowed each side better reconnaissance What single transformation was applied to triangle A to get triangle B? Links will be reported