The quadratic function h(t) = −4.9t^2 + 50t + 2 represents the height, in meters, of a toy rocket t seconds after launch. How many seconds will it take the toy to reach the ground? State your answer to the nearest whole second.

Answers

Answer 1

Answer:

The toy reaches the ground in 10 sec

Step-by-step explanation:

When the rocket hits the ground, h becomes zero (0).  Thus, our problem here is to solve the equation h(t) = −4.9t^2 + 50t + 2 = 0,

Because of the fractional coefficient -4.9, it's best to use the quadratic equation here.  The coefficients of the t terms are {-4.9, 50, 2}.  Thus,

the discriminant is b^2 - 4ac  = 50² - 4(-4.9)(2) = 2539.2, and the square root of this is 50.39.

The quadratic formula is as follows:

      -b ± √discriminant

t = -------------------------------

                 2a

which here is:

      -50 ± 50.39

t = ------------------------      Since t represents time, only the positive result

               -9.8                 is relevant here; it is 10.24 sec,

which rounds off to 10 sec

The toy reaches the ground in 10 sec

Answer 2
it reaches the ground in 10 sec

Related Questions

9/4 = blank divided by 4

please help- what is blank

Answers

Answer:

9

Step-by-step explanation:

You gave the answer right in your question

Is is asking what is divided by 4 to equal 9/4( 9 over 4)

Petra jogs 4 miles in 36 minutes. At this rate, how long would it take her to jog 12 miles?

Answers

it would take about 108 minutes to jog 12 miles

Answer:

90 minutes or 1 hour and 30 minutes.

Step-by-step explanation:

due at 11 am today
pls solve both and explain in detail

8)Zack has 75 dollars in her bank account. After going

to the hair salon, he is left with 53 dollars. What

was the amount he spent at the salon?


9)Steph paid the dues for his driving offenses recently

and was made to pay a fine of 165 dollars for 5 months

overdue. How much did he pay as a fine per month?

Answers

Answer:

8) $22

9) $33

Step-by-step explanation:

8) $75 to start, has 53 left. The difference of those is what he spent. 75 - 53 = $22

9) 165 divided equally in 5 months:

165 / 5 = 33

8. 22
9. 33

8. 75-53= 22
9. 165/5= 33

A scientist is working with a type of bacteria that duplicates itself every minute. He used the function f(b)=1 and the function g(b)=2^b to create the function h(b)=1×2^b, where b is the time in minutes.

After 5 minutes, how much bacteria should there be?

Answers

Answer:

3

Step-by-step explanation:

the answer 3
hope this helps

The ratio of boots to shoes is 1 to 3. If there are 6 boots, how many shoes are there?

Answers

Answer:

2 shoes helpful answer to your question

Answer:

shoes =18

Step-by-step explanation:

let shoes be x

ratio of bots to shoes =1:3

boots/shoes =boots/shoes

1/3 = 6/x

do cross multiplication

6*3=x

18=x

how many more numbers to get from 675 to 800

Answers

Answer:

Subtract 675 by 800, and you will get 125

To get from 675 to 800, you will add 125 to 675

Answer:

125

Step-by-step explanation:

675+1+1+1+1+1+1+1

lol just kidding

If you subtract 800-675, you would get 125.

Also if you added 125 to 675, you would get 800.

So, there you have it :)

Evaluate the expression n=2.
8(n + 1) = ___

Answers

Answer:

I believe it's 24

Step-by-step explanation:

because 2+1 is 3 and then 3 times 8 is 24

Answer:

24

Step-by-step explanation:

Equation: 8(n + 1)

Plug in n = 2

New equation: 8(2 + 1)

Simplify: 8(3)

Simplify: 24

Answer: 24

I just need the answers to these and I'll be done with my homework.Please help

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]3) x = 12, \ y = \frac{x}{3} = \frac{12}{3} = 4[/tex]

[tex]4) x = 2 , \ y = 5x + 9 = ( 5 \times 2 ) + 9 = 10 + 9 = 19[/tex]

[tex]5. a ) Profit = Cost \ Price - Selling\ Price[/tex]

    Profit = P, Cost C,

    [tex]P = 0.50C - 75[/tex]

 [tex]b) Break \ even\ means \ zero \ profit[/tex]

    [tex]P = 0.50C - 75 \\\\0 = 0.50C - 75\\\\0.50C = 75\\\\C = \frac{75}{0.50} = 150[/tex]

Number of cups to break even is 150 cups.

HELP PLEASE FOR 100 POINTS!! For each parabola, a) Write the equation of the function; b) Give the minimum or maximum value of the function; c) Find the domain and range.

Answers

Number 5:
a- y=x^2
b- Maximum (0,0)
c- Domain= (-infinity,+infinity)
Range=(-infinity, 0]

Number 6:
a- y=-x^2 (the - changes the direction of parabola)
b- Minimum (0,0
c- Domain= (-infinity,+infinity)
Range= [0, +infinity)

*note when I use [] and ()
same with the + and - infinities

Hope this helps! :)

Answer:

1 problem is b  2 problem is c

Step-by-step explanation:

find the ratio if it is given that ...

1) 6a-3b=5b

2) a+b=3a

3) 2a-3b/5 = a+b/2

Answers

Here is the answer to your question as This is the way I think it is solved
I agree with the person on top up

BRAINLIEST IF CORRECT

Answers

Answer:

[tex]25\%[/tex]

Step-by-step explanation:

Experimental probability represents probability based on an experiment conducted. In the question, it states 40 marbles were drawn and the graph shows that yellow was drawn 10 times. Thus, the experimental probability is [tex]\frac{10}{40}=\frac{1}{4}=\boxed{25\%}[/tex]

Answer:

25%

Step-by-step explanation:

please help me with this ​

Answers

Answer:

Dimensions are 10 x 9 x 7 and 9 x 4 x 5

Step-by-step explanation:

Divide the prism on the line that is 12cm

the top prism is 9 x 4 x 5 = 180
the bottom prism is 10 x 9 x 7 = 630

Can you plzz find the width...and give steps

Answers

The width will be 12 inches for Joy’s toy chest

Step 1. Find the volume of the Son’s chest:
(It is a rectangular prism) 30 x 16 x 24 =
11,520 cubic inches

I used the formula length x width x height.

Step 2. Make an equation to solve for the volume of the chest the daughter will have:
24 x 40 x w = 11,520 in2
11,520 because its said that the two chests should be teh same volume.

Step 3. Multiply the two dimensions of the daughters chest and divide it by the volume of the son’s chest:
11, 520/24 x 40 = 12
We divide it because we use the same formula for the volume of the rectangular prism, so to find the width, divide the length x height by the volume (this is proportionality)

Lets check it:
Volume of daughter’s chest:
12 x 40 x 24 = 11,520

Volume of Son’s chest:
30 x 16 x 24= 11,520

HAVE A NICE DAY

Answer:

12

Step-by-step explanation:

We know that Tyler's chest has a length of 30 inches, width of 16, and a height of 24 inches. To find the volume of the chest, multiply the length by width by height: 24*30*16 = 11,520 in^3 The volume is 11,520.

Juliet's chest will Have a length of 40 inches and the same height as Tyler's chest, or 24 inches. It also has the same volume of Tyler's chest, or 11,520

So Tyler's chest is 24 by 30 by 16 inches, and is 11,520 inches^3

Juliet's chest will be 40 by ? by 24 inches, and will be 11,520 inches^2.

We have to find the width of Juliet's chest. To do that, we have to divide the length times height of Juliet's chest by The volume of her chest, or

11,520/(40*24) = 11,520/960 = 12

Her chest is 12 inches wide

Chuin has 18 coins in his pocket. He has nickels and dimes that total $1.45. How many nickels and how many dimes does he have? Write and solve a system of equations to find the answer.

A. 10 Nickles, 8 dimes
B. 9 nickles, 9 dimes
C. 8 nickles, 10 dimes
D. 7 nickles, 11 dimes

Answers

Answer:

D

Step-by-step explanation:

Let n represent the number of nickels and d represent the number of dimes Chuin has.

Since Chuin has a total of 18 coins in his pocket, the sum of the number of nickels and dimes must total 18. So:

[tex]n+d=18[/tex]

The total worth of the coins is $1.45. Since each nickel is worth $0.05 and each dime is worth $0.10:

[tex]0.05n+0.1d=1.45[/tex]

Solve the system. We can use elimination (you can use substitution if you prefer, it works just as perfect!). First, multiply both sides of the second equation by 10:

[tex]0.5n+d=14.5[/tex]

Next, we can multiply the first equation by negative one:

[tex]-n-d=-18[/tex]

Add the two equations together:

[tex](0.5n+d)+(-n-d)=(14.5)+(-18)[/tex]

Simplify:

[tex]-0.5n=-3.5[/tex]

Divide both sides by -0.5. So:

[tex]n=7[/tex]

Chuin has seven nickels.

Using the first equation again, substitute n for 7 and solve for d:

[tex](7)+d=18\Rightarrow d=11[/tex]

Therefore, Chuin has seven nickels and 11 dimes.

Our answer is D.

D, (7*5=35)+(11*10=110)=145

When a spaceship full of scientists landed on Planet Q, they found that 17/40 of the 160 aliens had 3 eyes. How many aliens had 3 eyes?

Answers

Answer:

68 aliens

Step-by-step explanation:

Take the fraction of aliens that had 3 eyes and multiply by the number of aliens

17 / 40 * 160 =

17 * 160/40

17 *4

68

giving brainlist for correct

Answers

Answer:

B.

Step-by-step explanation:

6 + 18 = 24

7 + 18 = 25

8 + 18 = 26

9 + 18 = 27

10+18 = 28

All greater than or equal to 24.

Greater than or equal 24

which product has 4 zeros after the digit 3?
a. 0.3 x 10 power 4
b. 0.03 x 10 power 5
c. 0.03 x 10 power 4
d. 0.03 x 10 power 5

Answers

Answer:

0.03 x 10 power 6 will only have 4 zeros after the digit 3

0.003 power 5 is the correct answer

HELP PLEASE!!!!!!????

Answers

Answer:

Step-by-step explanation:

c. 235.00 intrest rate

If people send links report them

which angles are adjacent to each other ? select all that apply

Answers

I think the answer is 1 and 2
I’m not too well at these kinds of things but I am really sure that the answer is 1 and 4.

Graph the points (0, -2), (4, 0) and (2, 0). If you want to create a parallelogram, which of the following points should be used for the fourth point?
A. (2, -2)
B. (-1, 0)
C. (-4, 0)
D. (4, 4)

Answers

It’s going to be c because it hits (-4,0)
use c for the fourth point because it is (-4,0)

HELP ASAP 30 POINTS WORTH !!!!! OωO

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

Answers

Answer:

A because (0,-6) is the y-intercept so you start at the point you know. Then because slope is a rise over run fraction the slope can also be written as 2/1 which is rise 2 over 1.

Step-by-step explanation:

w

Answer:

A, cuz (0,-6) is the y-intercept. You start at the point that is familiar to u. Then cuz slope =  rise over run, simplify the slope which is 2/1.

What type of Distribution do these models represent (select all that supply)?​

Answers

Answer:

Symmetric, uniform, skewed

Step-by-step e

1. Symmetric
2. Uniform
3. Skewed

Find the value of x please.

Answers

Answer:

83

Step-by-step explanation:

its a guess bc its a right triangle and right triangle is 90 degrees minus 7 is 83

Answer:

I think it is 93 degrees

Step-by-step explanation:

A triangle has a full angle of 180 degrees

47+47 = 94

180-94=86

x-7=86

x = 93

The temperature in Wisconsin is -4 degrees Fahrenheit on Friday. Use the expression 5 (F-32) over 9 to find this temperature in degrees Celsius. Then explain its meaning.

Answers

Answer:

5(-4 - 32)/9 = -20˚C

Answer:

5(-4 - 32)/9 = -20˚C

Step-by-step explanation:

PLS HELP!!
2. At a fair, each person can spin two wheels of chance. The first wheel has the numbers 1, 2, and 3. The second wheel has the letters A and B. (d) List all the possible outcomes of the compound event. (e) If you spin both wheels, what is the probability that you get either a 1 or an A? Explain.

Answers

40% because there are 5 opinions and the probability of get one of the is 2 out of 5 making it 40% geting between An A or 1
The one 40% hehehehhshehehehehheehhehehehehe

pls help me i have to have assignments by 11:00pm so pls help me

Answers

Answer: The answer to Number 4 is 1!

Step-by-step explanation:

First you solve for the numbers in parentheses. 16 - 7 is 9, and 2 x 4 is 8. Then you solve for the remaining numbers. So 9 - 8 is indeed 1.

Hope this helps! :)

Answer:

The answer to number 2 is 1

Step-by-step explanation:

[tex] \frac{1}{5} \times 5 = \frac{1}{5} \times \frac{5}{1} \\ \\ \frac{5 \times 1}{5 \times 1 } = \frac{5}{5} = \frac{1}{1} = 1[/tex]

Figure D is a translation of Figure A. Describe the translation from Figure A to Figure D.

Answers

I believe The answer is (x,y) (3,-1)

Figure A is translated by 3 units along the x-axis toward the left and 1 unit along the y-axis upward.

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

Figure D is a translation of Figure A.

Describe the translation from Figure A to Figure D will be

Figure A is translated by 3 units along the x-axis toward the left and 1 unit along the y-axis upward.

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

#SPJ2

PLS HELP Find the value of x in the triangle shown below.

Answers

Answer:

the answer is 20

Step-by-step explanation:

use the pythagorean theorem

1] 12 x 12 = 144

2] 16 x 16 = 256

3] 144 +256= 400

4] find square root of 400 which is equal to 20

the answer is 20, i did it!

which angles are supplementary to each other ?

Answers

Answer:6 and 7

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Which table represents a nonlinear function?

Answers

I think it the first one
The top left table represents a non linear function
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