A small toy rocket is launched from a 24-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula
h = - 2t^2+ 2t + 24.
How long will it take the rocket to hit the
ground?

Answers

Answer 1

Answer:

4 seconds

Step-by-step explanation:

Since we want to know the time when the height is 0, we can rewrite the problem as [tex]0=-2t^2+2t+24[/tex]. From there, we can plug it into the quadratic formula, which gives us [tex]\frac{-2-\sqrt{4-4(-2)(24)} }{2(-2)}[/tex](Since it's a real-world problem and we have a negative denominator, we won't be using the positive square root). We simplify this to get [tex]\frac{-2-\sqrt{196} }{-4}[/tex], then [tex]\frac{-2-14}{-4}[/tex]. Finally, we can calculate this to be 4 seconds.


Related Questions

Help help help math math

Answers

1/8= 0.125
Rounded to the thousandth place- 0.13

Read the passage below.
You will respond by writing an informational response paragraph.
You will find specific writing directions below the passage.


GOLD IN THE SKY
By Alan E. Nourse

Chapter 1. Trouble Times Two

The sun was glowing dull red as it slipped down behind the curving horizon of Mars, but Gregory Hunter was not able to see it.

There was no viewscreen in the ship's cabin; it was too tiny for that. Greg twisted around in the cockpit that had been built just big enough to hold him, and shifted his long legs against the brace-webbing, trying to get them comfortable.

He knew he was afraid ... but nobody else knew that, not even the captain waiting at the control board on the satellite, and in spite of the fear Greg Hunter would not have traded places at this moment with anyone else in the universe.

He had worked too hard and waited too long for this moment.

He heard the count-down monitor clicking in his ears, and his hands clenched into fists. How far from Mars would he be 10 minutes from now? He didn't know. Farther than any man had ever traveled before in the space of 10 minutes, he knew, and faster. How far and how fast would depend on him alone.

"All set, Greg?" It was the captain's voice in the earphones.

"All set, Captain."

"You understand the program?"

Greg nodded. "24 hours out, 24 hours back, 90 degrees to the ecliptic1, and all the acceleration2 I can stand both ways."

Greg grinned to himself. He thought of the months of conditioning he had gone through to prepare for this run ... the hours in the centrifuge to build up his tolerance to acceleration, the careful diet, the rigorous hours of physical conditioning. It was only one experiment, one tiny step in the work that could someday give men the stars, but to Gregory Hunter at this moment it was everything.

"Good luck, then." The captain cut off, and the blastoff buzzer sounded.

He was off. His heart hammered in his throat, and his eyes ached fiercely, but he paid no attention. His finger crept to the air-speed indicator, then to the cut-off switch. When the pressure became too great, when he began to black out, he would press it.

But not yet. It was speed they wanted; they had to know how much acceleration a man could take for how long and still survive, and now it was up to him to show them.

Fleetingly, he thought of Tom ... poor old stick-in-the-mud Tom, working away in his grubby little Mars-bound laboratory, watching bacteria grow. Tom could never have qualified for a job like this. Tom couldn't even go into free-fall for 10 minutes without getting sick all over the place. Greg felt a surge of pity for his brother, and then a twinge of malicious anticipation. Wait until Tom heard the reports on this run! It was all right to spend your time poking around with bottles and test tubes if you couldn't do anything else, but it took something special to pilot an XP ship for Project Star-Jump. And after this run was over, even Tom would have to admit it....

There was a lurch, and quite suddenly the enormous pressure was gone.

Something was wrong. He hadn't pushed the cut-off button, yet the ship's engines were suddenly silent. He jabbed at the power switch. Nothing happened. Then the side-jets sputted, and he was slammed sideways into the cot.

He snapped on the radio speaker. "Control ... can you hear me? Something's gone wrong out here...."

1The great circle that is the apparent path of the Sun.

2The process of moving faster or happening more quickly.

------------------------

Now that you have read the passage, you will write an informational response paragraph to answer the following question:

How does this story create a feeling of tension or conflict?

Read the directions carefully so you know what to include in your essay.

Begin your paragraph by rephrasing the question into a topic sentence. Be sure to include the title and the author.
Include 3 or more specific examples, details, or quotes from the passage to support your answers to the prompt.
End with a conclusion sentence to wrap up your ideas.
Proofread your work before submitting.
(100 points)

Answers

Answer:

nobotty nows

Step-by-step explanation:

If you subtract 3 from twice a number,the result is 25.find the number

Answers

14

This should be right!

What is the slope of the line. ?

Answers

Answer:

-1

Step-by-step explanation:

rise/run

rise=-1

run=1

-1/1=-1

what is 12 3/4 divided by 3

Answers

Answer:

4.25 as decimal and 4 1/4 as a fraction

Step-by-step explanation:

Write down three integers, all less than 25, whose
• range is 10, and
• mean is 13.
The three integers are

Answers

Answer: 9 11 19

Step-by-step explanation

9 11 19

Answer:

18 and 8

Step-by-step explanation:

Range= 18-8

Mean=(18+8)/2=13

The approximate average distances from the sun to Mars and Mercury are listed
below:
Mars: 2.28 x 108 kilometers
Mercury: 5.79 x 107 kilometers
How many times farther from the sun is Mars? Write your answer in standard
notation, rounding to the nearest tenth.

Answers

Answer:

  3.9

Step-by-step explanation:

Your calculator will tell you ...

  (2.28×10^8)/(5.79×10^7) ≈ 3.9

Mars is about 3.9 times as far from the sun as Mercury.

Plssss help congruent triangles exercises .

Answers

Answer:

  2. ASA can be used with the definition of an isosceles triangle

  3. x = 5 5/6

Step-by-step explanation:

2.

Using the given information, the definition of an isosceles triangle tells us, ...

  ∠A = ∠C and ∠A = ∠ABM and ∠C = ∠CBN

By substitution, ∠ABM = ∠CBN. This lets us declare ΔAMB ≅ ΔCNB by ASA, where the sides between the angles are AB and CB.

__

3.

If the angles of interest are the same, then the triangles are similar. That means corresponding sides have the same ratio:

  AB/AD = CB/CE

  x/7 = (10-x)/5

  5x = 7(10 -x) = 70 -7x . . . . . multiply by 35, simplify

  12x = 70 . . . . . . . . . . . add 7x

  x = 70/12 = 35/6

  x = 5 5/6

7/8 = ?/48
A. 1
B. 42
C. 6
D. 13

Answers

7/8= B. 42/48

#HOPE THIS HELP

Divide 5.6 by 0.7 the quotient is what ?

Answers

The answer for this is 8.
The answer is 8 if you need anything else tell me.

how do i get more points? and why do i need it?

Answers

Answer:

You get more points by answering people's questions. You use points to get help from other people.

Answer: Answer people's questions to get points and use those points to get an answer to your question.

One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the hypotenuse?

2.5 inches
5.0 inches
7.1 inches
9.8 inches
PLZ ANSWER ASAP

Answers

Answer:

C

Step-by-step explanation:

This means that there is another leg of an isosceles triangle that is also 5 inches.

a^2 + b^2 = c^2

a = 5

b = 5

c = ?

c^2 = 5^2 + 5^2                 Combine

c^2 = 25 + 25

c^2 = 50                            Take the square root of both sides.

sqrt(c^2) = sqrt(50^2)

c = sqrt(5 * 5 * 2)                Take out 1 of two factors under the root sign.

c = 5 * sqrt(2)                      The 2 is left over because there is only 1 of them

sqrt(2) = 1.4142

c = 5 * 1.4142

c = 7.07 = 7.1

use the result (a+b)²=a²+2ab+b² to find the value of 49²+98+1


pls help me
I will give brainliest​

Answers

Answer:

2500

Step-by-step explanation:

a² + 2ab + b²

49² + 98 + 1

Comparing terms

a²= 49²

a= 49

2ab = 98

2× 49 × b = 98

98b = 98

b= 98/98

b = 1

or

b²= 1

b=√1

b= 1

a=49 and b= 1

Hence (a+b)²= (49+1)²

50²= 2500

What is the value of a on the triangle below?

Answers

Answer: answer 56 I’m the goat lol

Step-by-step explanation:

subtract 107 from 180 and you get 73 that’s one corner 73 +51 =124 and 180 - 124 = 56

Which description best describes the association between variables x and y?
picture is below

Answers

Answer:

The dots have a weak positive correlation.

Step-by-step explanation:

The values on the graph, or dots, are generally going upwards, meaning they are positive. If they were generally going downwards, or from the top left to bottom right, they would be negative.

The values are not tightly packed together. If they were, they would have a strong positive correlation. Instead, they are loosely around each other. But because they are not completely random all over the graph, the correlation is weak.

Hence, the values on the graph have a weak and positive correlation.

Fill in the missing values.
151.5 cm =? m
151.5 cm = ? m
(Type an integer or a decimal.)

Answers

Answer:

151.5 cm = 1.515 m

151.5 cm = 1515/1000 m

The following represents the inflation rates of foreign country X for the past 5 years:

Year 1: 35%

Year 2: 20%

Year 3: 25%

Year 4: 30%

Year 5: 15%

Which statement is correct about the selection of a functional currency for country X at the end of year 5.





a.
Country X is highly inflationary; the US dollar must be used



b.
Country X is highly inflationary; the foreign currency must be used



c.
Country X is not highly inflationary; the US dollar must be used



d.
Country X is not highly inflationary; either the US dollar or the foreign currency may be used depending on the factors to determine the functional currency





e.
Country X is not highly inflationary; the foreign currency must be used

Answers

Answer:

year 3:25 A,C,E

Step-by-step explanation:

A radio or television broadcast giving up-to-date happenings is called a ____.

documentary
motion picture
commercial
newscast

Answers

the answer is D newscast

x : y = 1 : 5. which is the correct equation?

Answers

Th e correct equation will be y = 5x

How to express ratios and proportions

Ratios is a way dividing two integers. For instance, the ratio of a to b is written as a:b.

Given the ratios expressed as x:y = 1:5

Since ratio means division hence;

x:y = 1:5

x/y = 1/5

Cross multiply

1 * y = 5 * x

y = 5x

Hence the correct equation will be y = 5x

Learn more on ratios here: https://brainly.com/question/2914376

Amy was scheduled for 12 intervals this week. One her first interval, she had a technical issue that prevented her from working for 15 minutes. This issue was reported to a diagnosed by Arise Technical Support, in which they issued an individual Waiver. Amy also looked at her schedule wrong, and computer missed three intervals in a row. What was her CA%

Answers

Based on the total of intervals vs the number of intervals Amy attended her CA percentage is 75%

What is the CA percentage?

The CA percentage measures the commitment of an employee to be logged in during the intervals that were assigned to him/her to work.

In this way, the CA percentage is equal to 100% if the employee worked as scheduled. Moreover, this percentage can be affected by factors such as:

Technical issues.Human errors.

In the case of Amy, there is a total of 12 intervals and it is known:

She had a technical issue that prevented her from working, but this was reported so it is unlikely this is considered in her CA.She missed three intervals because she looked at her schedule wrong.

Based on this information, let's calculate her CA:

12 intervals = 100%9 intervals =  x

x = 9 x 100 / 12x = 900 / 12x = 75%

Learn more about percentage in: https://brainly.com/question/8011401

send help send help send help

Answers

Answer:

B answer answer

[tex]the \: answer \: is \: b[/tex]

guys? can ypu pls help me with this? it's our exam day, thank you very much​

Answers

Answer:

Step-by-step explanation:

whats 5+5? please help quick quick quick

Answers

Answer:

It's 10 lol

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Because it is

If a cylinder has a volume of 648pi cm3( 3rd power) and a height of 8 cm, what is the radius?

Answers

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{cm^3}{648\pi }\\ h=8 \end{cases}\implies 648\pi =\pi r^2(8) \\\\\\ \cfrac{648\pi }{8\pi }=r^2\implies 81=r^2\implies \sqrt{81}=r\implies \boxed{9=r}[/tex]

The graphs below have the same shape. What is the equation of the blue graph?
G(x) =
O A. G(X) = x^2 + 1
O B. G(X) = (x - 1)^2
O C. G(X) = (x + 1)^2
O D. G(x) = x^2-1

Answers

Answer:

c) G(x) = (x + 1)**2

Step-by-step explanation:

A function left shift is x + shift and a right shift is x - shift.

factorize completly Mn + np + or + rt​

Answers

Answer:

n (m + p) + r (o + t)

Step-by-step explanation:

You have to split the expression in half.

First, focus on mn + np, the common factor would be n.

So the first part of the answer would be mn ÷ n and np ÷ n.

Leading to it being n(m + p).

Then you focus on the second half or + rt.

You find the common factor, which is r.

You divide both sides by r.

Hence why you get r(o + t).

Lastly, you put them together, n(m + p) + r(o + t).

Hope this helps :)

David's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs David $4.45 per pound, and type B coffee costs $5.85 per pound. This month, David made 123 pounds of the blend, for a total cost of $643.95. How many pounds of type B coffee did he use?

Answers

Step-by-step explanation:

x = pounds A

y = pounds B

x + y = 123

4.45x + 5.85y = $643.95

from the first equation we get

x = 123 - y

and we use that in the second equation :

4.45×(123 - y) + 5.85y = 643.95

547.35 - 4.45y + 5.85y = 643.95

1.4y = 96.6

y = 69

x = 123 - y = 123 - 69 = 54

so, he used 69 pounds of B coffee.

10. Which of the following is the best financial situation?

Answers

Answer:

Having enough to retire.

Step-by-step explanation:

The biggest long-term financial goal for most people is saving enough money to retire. The common rule of thumb that you should save 10% to 15% of every paycheck in a tax-advantaged retirement account like a 401(k) or 403(b), if you have access to one, or a traditional IRA or Roth IRA.

Pleaseeeee heeeeelp!!!

Answers

The answer is
A=35
B=14
C=5

Answer:

a=35 b=14 c=5

Step-by-step explanation:

a

180-55-90=35

b

b+6=20

b=14

c

4c-6=14

14+6=20

20/4=5

Need help. Sorry if the pic quality is bad…

Answers

Your answer should be open circles between 10 and 12
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