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

Find the inverse of the matrix A=

[4 -5]
[-7 9]

Answers

Answer:

hope this answer is right 71/45

Find the missing side in the similar figures below

Answers

Answer:

e

Step-by-step explanation:

24*5/3=40

The answer would be E. Trust me on this one

help me plssssssssssssss

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Answer:

C .......

Step-by-step explanation:

PLEASE SOMEONE HELP ME OH LORD PLEASE I BEG U

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Answer:

It's 30 because there is an average of 30 days in a month and the person has to take 1mg a day for a month

Step-by-step explanation:

Hope this helps

May I get braineist pls?

C. 30 because 1mg every day and there are 30 days in a month

Please look for the question in the picture.

Answers

it will be c

as

negative with negative erased together

From a hot-air balloon, Mariana measures a 40° angle of depression to a landmark that's 1165 feet away, measuring horizontally. What's the balloon's vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.​

Answers

Here is the set up:

Let h = balloon's vertical distance.

sin(40°) = h/1165

sin(40°)(1165) = h

748.847565

748.85 feet = h

Done.

The balloon's vertical distance above the ground is 1388.40 feet to the nearest hundredth.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

From a hot-air balloon,

Mariana measures a 40° angle of depression to a landmark that's 1165 feet away, measuring horizontally.

Let h be the vertical distance.

Use tanθ = perpendicular / base

Here, perpendicular = 1165 feet and base = h and θ = 40°

Substituting the values,

tanθ = perpendicular / base

tan40° = 1165 / h

h = 1165 / tan40

h = 1165 /  0.839095

h = 1388.40059 feet.

h ≈ 1388.40 feet to the nearest hundredth.

Therefore, vertical distance is 1388.40 feet

To learn more about the division;

https://brainly.com/question/13263114

#SPJ5

5x squared +1=4x-7 solve the equation using the quadratic formula

Answers

Answer:

Step-by-step explanation:

      - B  ±  √ B2-4AC

 x =   ____________

                     2A

which will be

          4 ± √ -144

  x  =    _______

                     10

x =(4-√-144)/10=(2-6i)/5= 0.4000-1.2000

if the length of a cuboid is 60cm and width 40cm and its surface area is 14800cm² find its height

Please Guyz I Want Full Solved Not Just Answer Please ​​

Answers

Answer:

50 cm

Step-by-step explanation:

let x be the heigth we are looking for.

Each rectangle that covers the cuboid is the product of two dimensions [tex](60\cdot40;\ 60x;\ 40x)[/tex]

Since it's a cuboid, we assume opposite sides are equal.

So each rectangle is counted twice:

[tex]Area=2(60\cdot40+60x+40x)=14800[/tex]

Now, we just isolate x:

[tex]60\cdot40+60x+40x=7400\\2400+100x=7400\\100x=5000[/tex]

Answer:50 cm

What is the scale factor k? The hummingbird nectar recipe is 4 cups of
water to every 1 cup of sugar. If I double the recipe, I will need 8 cups of
water and 2 cups of sugar. If I want half of the recipe, I would need 2 cups
of water and 1/2 cup of sugar. What is the scale factor of water to sugar?
k=

Answers

Answer:

2

Step-by-step explanation:

Scale factor of water to sugar=k

So,

k= amount of water/amount of sugar

=4 / 2

= 2 ANS

Curtis has a board that is 3/4 of a yard long he cuts it to make shelves that are 1/8 of a yard long how many shelves will there be after he cuts the board ?

Answers

The number of shelves would be 6.

The length of the board and the shelves are fractions. A fraction is made up of a numerator and a denominator. An example of a fraction is 1/8. 1 is the numerator and 8 is the denominator.

In order to determine the number of shelves Curtis cut, we would divide the length of the board by the length of each shelf.

Number of shelves = length of the board / length of the shelf

3/4 ÷ 1/8

3/4 x 8 = 6

To learn more about the division of fractions, please check: https://brainly.com/question/25779356

Suppose a 5-digit number is formed using the digits from 1 to 9 (without replacement). What is the probability that it will be an even number?​

Answers

Answer:

First take 5 empty. Digits.The no of digits are 9 (1-9).The last no must be even so . The total no of even no’s . Are 4 (2,4,6,8)The probability of last digit is 4There are remaing 8 digits so. Place them where. U required. The probability are. 8, 7,6,5(no reputations)The final answer is 4*8*7*6*5=6720 ways

Answer:

0.444    (44.4%)

Step-by-step explanation:

All possible ending: 1,2,3,4,5,6,7,8,9        ... 9

ending with 2,4 6,8 to make even number: 4

                                                  ___   ___  ___  ___  ___

even number :                              8   *   7   *   6  *   5  *   4

All 5 digit without repeating:        8   *   7   *   6  *   5  *   9

possibility = (8*7*6*5*4) / (8*7*6*5*9)

                = 4/9

                = 0.444    (44.4%)

_______________________________________________

(4 * ₈P₄) / (9 * ₈P₄) = 4/9

If a triangle has a base of 6' and a height of 4' its area would be what?
A= bxh 2
A= 6x4 2
A= 12 sq. ft.

Answers

Answer:

Hello There!

According to the question,

Base=6

And

Height =4

Let's know the formula

[tex] \frac{1}{2} \times base \times height \\ so \\ \frac{1}{2} \times 6 \times 4 \\ [/tex]

simplify 2 with 6 then it will look like this

[tex] \frac{1}{1} \times3 \times 4 \\ \\ [/tex]

1 has no value so

[tex]3 \times 4 = 12 {ft}^{2} \\ [/tex]

So third option

[tex]a = 12 {ft}^{2} [/tex]

is correct.

[tex]\Large\textsf{Hope \: It \: Helped}[/tex]

Answer:

Area = 12 sq ft

Step-by-step explanation:

The formula to find the area of a triangle is

1/2 bh so we will replace the letters with their number value

1/2 (6x4)

1/2 x 24 = 12

So, 12 is your answer!

A candy store has 6 boxes of chocolates. Each box has 500 pieces How many pieces are there altogether in the 6 boxes?​

Answers

Answer is 3,000 hope it helps

Lashonda finished a race in 5 minutes. How many seconds is this

Answers

Answer:

300 seconds

Step-by-step explanation:

There are 60 seconds in a minute. If there are 5 minutes, you have to multiply 5 by 60.

5 x 60 = 300

-hope it helps

Answer:

360 sec

Step-by-step explanation:

this is because 60sec is one mintute

so 60x5= 360

How do I multiply minted numbers? Please explain step by step to get marked as brainliest

Answers

Answer:

Step-by-step explanation:

The following graph shows the system of equations?

PLS HELP

Answers

I think it’s the first choice because you start at -2 then you went up 6???

Solve 5 - 2x < 7.
A) x < -1
B) x > -1
0x<
-12
D) x>-12

Answers

Answer:

x < - 1

Step-by-step explanation:

You have to treat it is a linear equation.

First, - 5 from both sides, resulting in -2x < 2.

Lastly, you need to find x on it's own so you have to divide by - 2.

Therefore, the answer would be x < -1.

Hope this helps :)

How to perform aerial math for following:

5.1 x 3.5 X 0.5+9.4

Answers

I could be wrong, but I would say it's 18.325

why do these sisters have different traits?

Answers

Answer: because dna is  game of chance

Step-by-step explanation: hope it helps

Because there are thousands of different gene codes

39 round to the nearest hundred

Answers

As it says nearest to hundred it will be 0-100 and the closest one is the answer, in this case the number is 39 which means it’s closer to 0,so the answer is 0

ricky is a hardworking man who owns 6 hectares of land. in his will,he divided his lot equally among 7 sons. how much land will each of his son receive?
a. 0.68
b. 0.86
c. 68
d. 86 ​

Answers

Question:-

ricky is a hardworking man who owns 6 hectares of land. in his will,he divided his lot equally among 7 sons. how much land will each of his son receive?

a. 0.68

b. 0.86

c. 68

d. 86

Answer:-

Given,

Land owned by Ricky = 6 hectares

No. of sons = 7

Now,

6 ÷ 7 = 0.8571429 or 0.86

Each son will own 0.86 hectares of land. Option b. 0.86 is the answer.

Lucy borrowed $73,250 to purchase a home. The bank offered her an APR of 3.15% for a term length of 20 years. Excel calculates the monthly payment to be $411.77. If she were to pay only the minimum payment for the lifetime of the loan, how much will Lucy be paying in interest?

Answers

Amount Lucy will be paying in interest will be $38,596.2  

Using the compound amount formula to get the amount after she will pay back after 20 years expressed as:

[tex]A =P(1+\frac{r}{n} )^{nt}[/tex]

A is the amount after 20 yearsr is the rate = 3.15% = 0.0315time in years = 20 yearsn is the compounding time = 12 (monthly)P is the amount borrowed =  $73,250

Substitute the parameters into the formula;

[tex]A=73,250(1+\frac{0.0315}{12} )^{20(12)}\\A= $73,250 (1.8761)\\A= \$137,421.49[/tex]

If Excel calculates the monthly payment to be $411.77, the amount paid for 20 years will be $411.77 * 240months = $98,824.8

Amount Lucy will be paying interest will be $137,421- $98,824.8 = $38,596.2  

Learn more on compound interest here: https://brainly.com/question/24924853

Help help math math good luck

Answers

Angle 4 is 101°
Just find the last angle in the triangle and subtract that from 180.
The last angle in the triangle is going to be 180-52-49=79
Now subtract that from 180 since a straight line is 180°.
180-79=101
Also, your hint just says to add the two angles inside the triangle together. 52+49=101. So, there is two ways of doing it

Please help for brainliest!!:)

Answers

Answer:

d)

Step-by-step explanation:

we know, that i = sqrt(-1)

so, i² = -1

i³ = -i

i⁴ = -i × i = - -1 = 1

i⁵ = i⁴×I = 1×i = i

and the cycle begins again for any higher exponents.

so, we find out what i^n is, by dividing n by 4 and look at the remainder.

remainder = 0, i^n = 1

remainder = 1, i^n = i

remainder = 2, i^n = -1

remainder = 3, i^n = -i

so, what is 139 in this regard ?

139 ÷ 4 = 34

remainder 3

so, i¹³⁹ = -i

a) 322 ÷ 4 = 80

remainder 2. not equivalent.

b) 304 ÷ 4 = 76

remainder 0. not equivalent.

c) 221 ÷ 4 = 55

remainder 1. not equivalent.

d) 239 ÷ 4 = 59

remainder 3. this IS equivalent.

Please help. Will mark Brainliest


Which statements go in boxes 2 and 3?

What is the proof for boxes 3 and 4?

Answers

First is B, since 1 and 3 are corresponding angles, they must be equal

Next is I, 3 and 5 must be equal since they are vertically opposite

Last is transitive property
Since 1 = 3 and 3 = 5, then 1 must equal 5

Shen borrowed $8000 at a rate of 17%, compounded quarterly. Assuming he makes no payments, how much will he owe after 6 years?​

Answers

224,640
(8,000*1.17)(6*4) due to quarterly interest
(8,009*1.17)(24)
(9,360)(24)
9,360*24=224,640

5. Maribel makes bead necklaces. She uses a
ratio of 4:2:3 when threading green, brown and
yellow beads on the wire. How many green and
yellow beads will Maribel use for a necklace
Icontaining a total of 117 beads?

A. 52 green beads; 39 yellow beads

B. 52 green beads; 26 yellow beads

C. 26 green beads; 52 yellow beads

D. 39 green beads; 52 yellow beads

Answers

Answer:

A.  52 green beads; 39 yellow beads

Step-by-step explanation:

See the attachment.  If we take the ratios of 4, 2 , and 3, they add to 9.  The

Green (G), Blue (B), and Yellow (Y) will have 4/9, 2/9 and 3/9 each of the total beads, 117.

G:  52 Beads

B:  26 Beads

Y:  39  Beads

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answer:

[tex]I(-1,0) \to I \ ' \ (-0.25,0)\\\\J(-1,1) \to J \ ' \ (-0.25,0.25)\\\\K(2,2) \to K \ ' \ (0.5, 0.5)\\\\L(2,-1) \to L \ ' \ (0.5,-0.25)\\\\[/tex]

======================================================

Explanation:

The fraction 1/4 is equivalent to the decimal form 0.25

We multiply 0.25 with each coordinate, of each point.

For example, let's focus on point L which is at (2,-1)

x = 2 becomes x = 0.25*2 = 0.5y = -1 becomes y = 0.25*(-1) = -0.25

Point L(2,-1) moves to L ' (0.5, -0.25) which will move it closer to the origin, which shrinks the image. Use this idea for the remaining points.

Note: this trick only works if the center of dilation is the origin.

A passenger plane flew from Texas to Frankfurt and back. The round trip is 9900 km.
return trip took 4 hours less than the trip to Frankfurt because of the 50 km/hr wind over the ocean on the return trip. Assume there was no wind on the trip to Frankfurt. Let x km/hr represent the average speed of the plane in still air.

Answers

We want to find the average speed of the plane in still air, we will get that the average speed of the plane in still air is 355.3 km/hr

So we know that the total trip is 9900km, so from Texas to Frankfurt the distance is half of that:

9900km/2 = 4950km

Now, The speed of the plane in still air is x km/hr

The speed of the air is 50 km/hr, and it flows from Frankfurt to Texas.

So in the first part of the trip, the wind blows in opposite direction to the motion of the plane, thus the speed of the plane will be:

(x - 50) km/hr

While in the return trip the wind blows in favor of the plane, in this case, the speed is:

(x + 50)km/hr

Then if the first part of the trip lasts for T hours (the second for T - 4 hours) we can write the system of equations:

(x - 50)*T = 4950

(x + 50)*(T - 4) = 4950

Where I removed the units so it is easier to read.

If we isolate T in the first equation we get:

T = 4950/(x - 50)

Now we can replace this in the other equation to get:

(x + 50)*(4950/(x - 50)  - 4) = 4950

If we multiply both sides by (x - 50) we get:

(x + 50)*4950 - 4*(x + 50)*(x - 50) = 4950*(x - 50)

Now we can solve this for x:

(x + 50)*4950 - 4*(x^2 - 2500) - 4950*(x - 50) = 0

100*4950 - 4*(x^2 - 2500)  = 0

495000 - 4*x^2 + 10000 = 0

505000 = 4*x^2

√(505000/4) = x = 355.3

The average speed of the plane in still air is 355.3 km/hr

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13476446

Add 8.563 and 4.8292. then times the answer by 9.183 divide it 2 times by 1.192. Add to the answer with this number after your finished: "19.323

Answers

Answer:

105.876373581

Step-by-step explanation:

8.563 + 4.8292 = 13.3922

13.3922 × 9.183 = 122.9805726

122.9805726 ÷ 1.192 = 103.171621309

103.171621309 ÷ 1.192 = 86.5533735811

86.5533735811 + 19.323 = 105.876373581

Step-by-step explanation:

8.563+4.8292=A

( A*9.183)÷1.192÷1.192=B

B+19.323=C

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