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+160x+150

Answers

Answer 1

Answer:

Answer below

Step-by-step explanation:

Time can not be negative from any perspective. Hence, the correct answer is 10.16 seconds.

The equation of the path of a rocket is given that is  y= x^2 + 153x + 98

We need to determine the time that the rocket will hit the ground.

Now, if the rocket hits the ground after the launching then the overall displacement at the time of hitting the ground will be zero.

Therefore, the value of y is 0.

Thus,  -16x^2 +153x + 98 = 0

Now, the formula for finding the roots of the quadratic equation  

 ax^2 +bx +c = 0 is given as:

 [tex]x^{1} =\frac{-b+\sqrt{b^2 -4ac} }{2a}[/tex]

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

Comparing the expression with the standard form of the equation.

a = -16b = 153 and c = 98

By applying the formula there are two values are come that is,

x^1 = -0.602555

x^2 = 10.1651  

Time can not be negative from any perspective.

Hence, the correct answer is 10.16 seconds.

———————————————————————————————————————-

(Hope this helps can I pls have brainlist (crown)☺️)


Related Questions

7.
The transformation described below adds 1 to the x-coordinate and doubles the y-coordinate of any given point.
(x,y) → (x + 1, 2y)
2
What is the effect of this transformation on distance and angle measure?
A. It preserves angle measure but does not preserve distance.
B. It preserves neither distance nor angle measure.
C. It preserves both distance and angle measure.
D
It preserves distance but does not preserve angle measure.

Answers

Answer:  make me brainlist

Step-by-step explanation: CCCCCCC

How do I figure this out

Answers

Answer:

D

Step-by-step explanation:

yeah-ya....................... right?

Answer:

D

Step-by-step explanation:

hope it help correct me if wrong

which cost the most per tablet
50 individually wrapped pain reliver talets for 9.50, 100 tablets in a bottle for 6.32 or 500 tablets in a bottle for 13.42

Answers

Answer:

It is C. 500 tablets in a bottle for 13.42

Step-by-step explanation:

9.50/50 = 0.19 cents per individually wrapped pain reliver tablets.

6.32/100 = 0.06 cents per tablets in a bottle.

13.42/500 = 0.02 cents per tablets in a bottle.

HELP!!!! PLZZZZZZZZZZ

Answers

Answer:

2x³ + 4x² cub. inches

3x³ + 36x² + 105x cub. inches

x³ + 32x² + 105x cub. inches

Step-by-step explanation:

Volume of the small box = x × 2x × (x + 2)

= 2x²(x + 2)

= 2x³ + 4x² cubic inches

Volume of the large box = (x + 5)(x + 7) × 3x

= (x² + 12x + 35) × 3x

= 3x³ + 36x² + 105x cubic inches

Difference between Volume of large box and small box = 3x³ + 36x² + 105x - (2x³ + 4x²)

3x³ + 36x² + 105x - 2x³ - 4x²

x³ + 32x² + 105x cubic inches

d ÷ 20 = 0.81
d = ?
what is d?

Answers

Answer: 16.2

Step-by-step explanation:

i used the calculator

PHOTO ATTACHED CAN SOMEONE PLZ FR HELP LIKE NOT LIKE A LINK OR A ANSWER FOR THE POINTS I NEED SOME HELP!!!!!!!! thank you :)

Answers

Answer:

  80a²b³c

Step-by-step explanation:

As with numbers, the LCM is the product of the highest-powered factors.

  16ab³ = 2⁴×a×b³

  5a²b² = 5×a²×b²

  20ac = 2²×5×a×c

The highest power of the factor 2 is 2⁴.

The highest power of the factor 5 is 5.

The highest power of the factor a is a².

The highest power of the factor b is b³.

The highest power of the factor c is c.

The LCM is 2⁴×5×a²×b³×c = 80a²b³c

can anyone help me please just cat get it​

Answers

Answer:

it is c I think if not sorry

[tex]~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis}[/tex]

[tex]\bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}[/tex]

now keeping that template for transformations above in mind, let's take a look at this one

[tex]\stackrel{\textit{original}}{f(x) = |x|}\implies f(x)=\stackrel{A}{1}|\stackrel{B}{1}x+\stackrel{C}{0}|+\stackrel{D}{0}[/tex]

now, the vertex of this type, or original that'll be the origin at (0,0), and its' graph looks like a V.

now let's take a peek at the graph, hmmm from the original V-shape it moved to the left by 2 units, with a horizontal shift of C/B = 2, we can say that +2/1 gives B = 1 and  C = +2, and moved upwards by 3 units, namely D = +3.

we can also see that it flipped upside-down over the horizontal(x-axis), namely A is negative, on all choices the only value we see for A is "4", so it must be that A = -4

let's plug all those in

[tex]\begin{cases} A=-4\\ B=1\\ C=+2\\ D=+3 \end{cases}\qquad f(x)=\stackrel{A}{-4}|\stackrel{B}{1}x+\stackrel{C}{2}|+\stackrel{D}{3}\implies f(x)=-4|x+2|+3[/tex]

find the mean of 98 100 100 100 100 100​

Answers

Answer:

the mean of this sequence of numbers is 99

Answer:

it is 99

Step-by-step explanation:

Using the graph of f(x) and g(x), where g(x) = f(-x), determine the value of k
10
9
8
g(x)
f(x)
7
6
5
4
4
3
2
0
0
3
5
6
7
8

0-1
-4
ANSWERS:
4
1/4
-1/4
-4

Answers

Answer:

45

Step-by-step explanation:

(f+g)(x)

f(x)= x-3, g(x)= 2x+8

HELP

please help me!! will mark whoever gets it right brainlist
(question is in image below) ⬇️

Answers

Answer:

[tex](x-6)^2=8[/tex]

Step-by-step explanation:

[tex]x^2-12x+32=4[/tex]

[tex]x^2-12x+32+4=4+4[/tex]

[tex]x^2-12x+36=8[/tex]

[tex](x-6)^2=8[/tex]

Basically, you need to add a number to both sides so that you can reduce the left side to a square. In this case, you add 4.

Breakfast eaten and the slim camp-outfit lashed to the sled, the men turned their backs on the cheery fire and launched out into the darkness. At once began to rise the cries that were fiercely sad—cries that called through the darkness and cold to one another and answered back. Conversation ceased. Daylight came at nine o'clock. At midday the sky to the south warmed to rose-colour, and marked where the bulge of the earth intervened between the meridian sun and the northern world. But the rose-colour swiftly faded. The grey light of day that remained lasted until three o'clock, when it, too, faded, and the pall of the Arctic night descended upon the lone and silent land.

As darkness came on, the hunting-cries to right and left and rear drew closer—so close that more than once they sent surges of fear through the toiling dogs, throwing them into short-lived panics.

At the conclusion of one such panic, when he and Henry had got the dogs back in the traces, Bill said:

"I wisht they'd strike game somewheres, an' go away an' leave us alone."

"They do get on the nerves horrible," Henry sympathized.

They spoke no more until camp was made.

Read this line from the story:
As darkness came on, the hunting-cries to right and left and rear drew closer, ...

What is the purpose of this sentence in the story? (5 points)

It implies a mood of utter despair.
It implies a near tragic event.
It creates a feeling of being trapped.
It creates a sense of action. I AM GIVING 50 POINTS!!!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

The problem with this kind of question is that the author tells you what you should see in that sentence. The dogs experienced fear. Any other answer you suggest is not what the author means. So you are guessing. It is adding to the notion that the arctic is not a friendly place and you cannot go sunbathing in and be comfortable in the middle of winter.

A is as good an answer as you are likely to get, but I don't think it's right.

y=sech(tan‐¹x) find the derivative ​

Answers

Recall that

d/dx sech(x) = - sech(x) tanh(x)

d/dx tan⁻¹(x) = 1/(1 + x²)

Then by the chain rule,

dy/dx = - sech(x) tanh(x) / (1 + x²)

455,757,974,946,454 ×454,942,164,313,233.Plz help.​

Answers

91929229

7373738292929202010100110010110

Multiply.
[−3⋅914]⋅[(−0.1)⋅(−28)]
What is the product?

Answers

Answer:

x=5.3984

Step-by-step explanation:

[-4,6)
Write the interval as an inequality.

Answers

Answer:

4<×<6

Step-by-step explanation:

interval as an inequality

1. As a diver descends, the pressure in the water
a
increases by about 0.455 pound per square
inch
(psi) for each foot of descent. This can be
modeled by the equation P = 0.455d + 14.3,
where P is the pressure in pounds per square
inch and d is the depth in feet.
Use a graphing calculator to graph the model.
(a)
Sketch the graph showing d (horizontal axis
representing depth )and P (vertical axis
representing the pressure).

Answers

Plotting the graph using geogebra online graphing tool and attaching.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let P represent the pressure in pounds and d represent the depth in feet.

Given the equation:

P = 0.455d + 14.3

Plotting the graph using geogebra online graphing tool and attaching.

Find out more at: https://brainly.com/question/13911928

Perimeter of piecewise rectangular figure. Please help.

Answers

Check the picture below.

so the perimeter is 6+16+14+7+8+9 = 60.

Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 6.4 minutes and a standard deviation of 1.7 minutes. For a randomly received emergency call, find the following probabilities.
a) between 5 and 10 min.
b) less than 5 min.
c) more than 10 min.

Answers

The probability that  a randomly received emergency call is between 5 and 10 min is 77.97%.

Z score

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation and x is the raw score.

Given that μ = 6.4, σ = 1.7

For x = 5:

z = (5 - 6.4) / 1.7 = -0.83

For x = 10:

z = (10 - 6.4) / 1.7 = 2.12

a) P(5 < x < 10) = P(-0.83 < z < 2.12) = P(z < 2.12) - P(z < -0.83) = 0.9830 - 0.2033 = 0.7797

b)  P( x < 5) = P(z < -0.83) = 0.2033

c)  P(x > 10) =1 - P(z < 2.12) = 1 - 0.9830 - 0.2033 = 0.017

The probability that  a randomly received emergency call is between 5 and 10 min is 77.97%.

Find out more on Z score at: https://brainly.com/question/25638875

if I set off for the market,a distance of 11km at 10am. And walk at an average speed of 3km per hour,At what time will I reach the market?​

Answers

Answer:

At 1:40 pm you will reach the market.

Step-by-step explanation:

Distance (d) = 11 km

Average speed (v) = 3 km/h

Formula:

[tex] \rm Average \: speed = \dfrac{Distance}{Time} \\ \\ \rm 3 = \dfrac{11}{t} \\ \\ \rm t = \dfrac{11}{3} \\ \\ \rm t = 3 \frac{2}{3} \\ \\ \rm t = 3 hr \: 40min[/tex]

It will take 3 hours 40 minutes to reach the market.

So, if you set off for the market at 10 am you will reach market by 1:40 pm (10 am + 3hr 40min).

Find the equation of the line.
Use exact numbers.
y= x+

Answers

Answer:

The equation of this line is y = -3x + 7

Step-by-step explanation:

Remember that when writing an equation for a graphed linear line, we must write it in slope intercept form (y=mx+b). The m represents the slope, and the b represents the y-intercept.

(The slope determines the direction in which the line goes, and is written as rise/run.)

In this case the slope is going to be negative, since the line is going downwards to the right. Additionally the slope of this line is -3/1 or just -3.

(The y-intercept is the point in which the line crosses the y-axis.)

In this case, since the line crosses the y-axis at positive 7, the y-intercept will be 7.

So all together we have y = -3x + 7.

Hope this helps you :)

Determine the center and radius of the following circle equation:
x? + y2 - 2x - 12y +36 = 0

Answers

Step-by-step explanation:  

x²+ y² -12x - 18y +17 = 0 means : (x²-12x+36)-36+(y²-18y+81)-81-27 =0

(x-6)²+(y-9)² =12²....standard form when the center is (-6 , 9) and radius 12

Answer:

The center is at (1, 6) and the radius is 1.

Step-by-step explanation:

x^2 + y^2 - 2x - 12y +36 = 0

Convert to standard form:

x^2 - 2x + y^2 - 12y = -36

(x - 1)^2 - 1 + (y - 6)^2 - 36 = -36

(x - 1)^2 + (y - 6)^2 = -36 + 36 + 1

(x - 1)^2 + (y - 6)^2 =  1

The center is at (1, 6) and the radius is 1.

Help help help help help help help help

Answers

Answer:

y=2

y=4

y=6

y=8

Step-by-step explanation:

please mark brainlist

The picture can be represented by the equation 40 divided by 8 equals 5.

Answers

Answer:

what is to do here

[tex] \sqrt[8]{40} = 4 \\ 5[/tex]

the answer like this up will be 5 what grade question

What is the range if this function ?

Answers

Answer:

-4 to 0 (both -4 and 0 are included in the range because of the dots)

Draw the image of AABC under a translation by 3 units to the left and 3 units down

Answers

this is an answer if u have somethin better go for it

parallel to the line y=3/5x-8; passes through (0,-3)

Answers

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\impliedby y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{5}}x-8[/tex]

so we're really looking for the line of a slope of 3/5 and passing through (0,-3)

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{3}{5}}(x-\stackrel{x_1}{0}) \\\\\\ y+3=\cfrac{3}{5}x\implies y=\cfrac{3}{5}x-3[/tex]

What is 7*1893/2? Help please

Answers

Multiply first then divide:

7*1893 = 13251

13251/2 = 6625.5

Answer: 6625.5

A car can travel 300 miles on 12 gallons of gas. At this rate, how many miles can the car travel on 1 gallon of gas?


12 miles

12 miles

25 miles

25 miles

120 miles

120 miles

312 miles

312 miles

Answers

Answer:

25 miles?

Step-by-step explanation:

Will give brainliest

Answers

Answer:

between midnight and 3am i think

Step-by-step explanation:

A professional guitarist charges a flat amount for performances at restaurants and events. He played 6 performances over 2 weeks and made a total of $420. Write an equation and solve for the amount he makes for each performance.

Answers

Answer:

The guitarist makes 70$ a performance

Step-by-step explanation:

To find how much he makes per performance we need to make an equation where how much he makes per performance is x

The equation would be:

x=420

Then we would divide both sides by 6

6÷6×x=420÷6

which would make the equation

x=70

meaning that the guitarist makes 70$ per performance

Let performances be x

[tex]\\ \sf{:}\dashrightarrow 6x(2)=420[/tex]

[tex]\\ \sf{:}\dashrightarrow 12x=420[/tex]

[tex]\\ \sf{:}\dashrightarrow x=420/12[/tex]

[tex]\\ \sf{:}\dashrightarrow x=35[/tex]

Other Questions
Bambino's Pizza is offering $56 per shift and $20.50 in commission for each pizza delivery write a linear equation with a greater Y- intercept and slope in Bambino's Pizza Which sentence from Exploring the Titanic best indicates the author's enthusiastic tone at the end of the passage?O Now, finally, I went to my bunk to get some sleep.When I awoke, it was nighttime, and the good ship Knorr was steaming quietly and steadily to our home.They had paid a big price over the years during my long months away from home, but they'd never oncecomplained.As we came into port, I couldn't believe my eyes. Tire King is having a sale where customers can buy 4 new tires for $ 319.96 . What is the unit price of the tires? 1. Before starting, make a prediction: If substances B and C are both in the gas phase and are at the same energy level, which of the two substances will need to have more energy transferred out in order to change to the liquid phase? Substance B or substance C? Explain your answer. Complete the process of solving the equation.Fill in the missing term on each line. Simplify any fractions.9W + 1 = 199w =Subtract 1 from both sidesW =Divide both sides by 9 Function 1 is defined by the equation y=-1/4r-5 Help use photo for questions You have 125% of the tickets required for a souvenir. What fraction of the required tickets do you have? Do you need more tickets for the souvenir? Explain. Write your answer in simplest form. Part G Compare this activity tracker & with the calorie calculator you used in part A. Imagine that a company hires you to make an online tool that uses the best features of each calculator to give users an accurate sense of their physical activity and energy expenditure. What features would you use from each calculator? How would your calculator work? The Electoral College has been a topic for debate. Some people believe that the Electoral College is no longer needed to decide on the president. There are many people who believe that the popular vote should determine the next president of the United States. For this assignment, you are going to research the Electoral College. You will use your research to answer each question below in paragraphs of your own words.DirectionsAddress the debate on the Electoral College by using your research to answer the following questions. Your response to each question should be in a paragraph of your own words.What reasons did the members of the Constitutional Convention have for creating the Electoral College? Use examples from your research to support your answer.How have voters in America changed since the Constitution was created?Should the Electoral College continue to be used? Why or why not? Use examples from your research to support your answer. I need help with this homework 4/k =8/3 what is k? A courtyard has the shape of a rectangle 45 ft and 28 ft wide. How long is a sidewalk from one corner diagonally to the opposite corner? 56 ft47 ft50 ft53 ft The force involved in falling of an apple from a tree is known as? (a) Magnetic force (b) electrostatic force (c) Contact force (d) gravitational force A deposit of $1000 is made in an account that earns 8% interest compounded quarterly. The balance in the account after n quarters is given by the following sequence. Find the balance in the account after ten years.a=100.000)n=1,2,3The balance after ten years. The woman the speaker is talking aboutThe woman the speaker is talking aboutknows she is beautiful on the inside.refuses to listen to the speaker.wants to be beautiful.doesn't think she is beautiful. 9 Select the correct answer. Which statement correctly describes a physical change? O A involves breaking and creating chemical bonds but not changing a phase OB. may involve a change in phase but does not involve a change in the molecular structure OC. may involve converting two or more substances into new substances OD. involves changes at the molecular level O E. involves energy transfer and change in color Reset Next Mary had 60$ and spent 3/4 on a coat. plus she brought a skirt with 1/2 she had left . how much do she have left? What is the volume of this solid?Most Precise Answer = Round to the nearest hundredthApproximate Answer = Round to the nearest tenth if necessary? Which tree would survive better if they had the same amount of oxygen, water, soil and sunlight, a redwood or a giant sequoia and why?