A creature on the moon throws a rock off a cliff. The height of the rock above the surface of the moon, in meters, t seconds after it is thrown is given by h(t) = −t 2 + 8t + 10. When does the rock hit the surface of the moon?

Answers

Answer 1

Answer:

9.099 seconds

Step-by-step explanation:

The rock hits the surface of the moon when is t is 0.

[tex]-t^2 + 8t + 10 = 0\\t^2 - 8t - 10 = 0[/tex]

Use the quadratic formula

t = -1.099 and 9.099

Since time can't be negative, the answer is t = 9.099


Related Questions

At a restaurant last week, 4 times as many hot dogs were sold as hamburgers. The
restaurant sold a total of 588 hot dogs last week. Which equation can be used to find
how many hamburgers were sold at the restaurant last week?
4*n-588; n = 147 hamburgers
4xn-588; n = 122 hambungers
4x588 = n;n= 2,352 hamburgers
04x588 - nn- 2,022 hamburgers

Answers

Answer:

4×588= n;n=2,352 hamburgers

Joquan's brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold 9900 worth of shoes. How much was his commission

Answers

Answer:

His commission was $247.50

Step-by-step explanation:

Percentage

Joquan's brother earns a  2.5% commission on the amount he sells.

Last week, he sold $9,900 worth of shoes, thus his commission will be calculated as follows:

2.5% of $9,900 = 2.5 *$9,900 / 100 = $247.50

His commission was $247.50

18 meters= how many centimeters

Answers

Answer:

1800

Step-by-step explanation:

can i have brainliets, please? hee hee

18m

to convert into cm;

=18x100

=1800cm

What is the name of the angle pair for <1 and <2?HELP

Answers

Answer:

It's A(complementary)

The volume of a cylinder with radius r and height his v = 7h
A barrel in the shape of a circular cylinder is 30 inches in diameter and 42 inches tall.
Approximately what is the volume of the barrel in gallons?
(Use 1 gal - 231 in)

Answers

Answer: 128.5 gallons

Step-by-step explanation:

V= πr²h

V=π15²42

V= 29688.05058in³ ÷ 231 ≈ 128.5 gallons

Note- It would mean the world to me if you could mark me brainliest!

45/14=x/14 what is “x”

Answers

Answer:

45

Step-by-step explanation:

x=45, just get rid of the denominators when they're the same

Simplify 3x^2y^3•x^4y

Answers

Answer:

Step-by-step explanation:

3x²y³·x⁴y = 3x²x⁴y³y = 3x²⁺⁴y³⁺¹ = 3x⁶y⁴

please help and show work​

Answers

9514 1404 393

Answer:

  h = 12 m

Step-by-step explanation:

Sides of the triangle are proportional.

  (3.6 m)/(1.2 m) = h/(1.2 m + 2.8 m)

  (4 m)(3.6/1.2) = h . . . . . multiply by 4 m

  h = 12 m

I need answer ASAP: You are running a fuel economy study. One of the cars you find is blue. It can travel 40 1/2 miles on 1 1/4 gallons of gasoline. Another car is red. It can travel 22 2/5 miles on 4/5 gallons of gasoline. What is the unit rate for miles per gallon for each​ car? Which car could travel the greater distance on of​ gasoline?

Answers

Answer:

Blue:  32.4 mpg

Red:  28 mpg

The Blue car will travel farther on a gallon of gasoline

Step-by-step explanation:

Blue: 40.5/1.25=32.4 mpg

Red: (22 2/5)/(4/5) =22.4/0.8=28 mpg

whats is x − 2 /3 = 1 5 /6??

Answers

answer: 2 1/2
explanation: 1 5/6= 11/6 ; 11/6 + 2/3= 5/2 ; 5/2= 2 1/2

Marcie Bruno received a 4.2% merit increase and a 2.75% cost-of-living increase
after her quarterly review. Her new weekly salary was $788.92. What was her
weekly salary prior to the increases?

Answers

Answer:

734.1

Step-by-step explanation:

100%=788.92

4.2%=33.13

2.75%=21.69

33.13+21.69=54.82

788.92-54.84=734.1

8 less a number is less than or equal to 17

Answers

Answer:

less than

Step-by-step explanation:

8 is less than 17

Answer :n ≤ 25

Step-by-step explanation:

n - 8 ≤ 17

n - 8 (+8) ≤ 17 (+8)

n ≤ 25

n ≤ 25 is your answer

help me

I need someone to do this Best answer gets brainleist

Answers

Answer:x^(25)y^(15)

Step-by-step explanation:use mat h wa y . c o m

it helps

What is the value of x2?
(5x)
0 14
110
110
017
70

Answers

Answer: 14

Step-by-step explanation:

110 + 110 + 70 + 5x= 360 ( total number of angles in a quadrilateral is 360 degrees)

290+5x= 360

5x= 360 - 290= 70

x= 70/5= 14

Yes it would be 14 because that would be the x2 around it

Increase 60 by 25%.

Answers

Answer:

75

Step-by-step explanation:

25% * 60 = 15

60 + 15 = 75

Answer:

the answer is 75

Step-by-step explanation:

i found out that that 25% of 60 was 15 because thats what i get when i divide it by 4. so then i added 15 ot 60 and it gave me 75

y varies Directy with
the square
of x. if
y=24 when x=2
Find y when
X= 5

Answers

Answer:

When X=5, Y=60

Step-by-step explanation:

24 | 2

36 | 3

48 | 4

60 | 5

What steps must you take to divide fractions?

Answers

Answer:

Find a reciprocal.

Step-by-step explanation:

ex: If you have 5/6 divided by 3/7 you would flip the 3/7 so it's 7/3 so then you can simply multiply them. REMEMBER YOU CANNOT DIVIDE FRACTIONS. YOU MUST CHANGE THE PROBLEM INTO MULTIPLICATION FIRST!!!

Find x.
2x + 40
3x
4x
X + 50
x= [?]
I
Enter

Answers

Answer:

[tex]x = 27[/tex]

Step-by-step explanation:

A shape exterior angles add up to 360.

All of these angles are exterior angles so we can add up all of them to and set it equal to 360 to find x.

[tex]3x + 4x + 2x + 40 + x + 50[/tex]

[tex]10x + 90 = 360[/tex]

[tex]10x = 270[/tex]

[tex]x = 27[/tex]

Which pair of functions are inverses of eachother?

Answers

Answer:

D

Step-by-step explanation:

A.

y= 6x³

to find the inverse substitute x for y and y for x and solve for y

x= 6y³ ; divide both sides by 6

x/6 =y³ ; cube root both sides

(∛x)/ ∛6 = y

so  (∛x)/6  and 6x³ are NOT inverse of each other

B

y= (x+2)/5

x= (y+2)/5; multiply by 5

5x = y+2; subtract 2

y= 5x-2 NOT corect

C

y = 5x-6

x= 5y-6; add 6 to both sides

x+6 = 5y ; divided by 5 both sides

y = (x+6)/5 is NOT correct

D

y=7x -2

x= 7y-2

x+2 = 7y , (x+2) /7 = y so  IS correct

Complete the input-output table that represents the linear function y=-4x+10

Answers

Answer: 6

Step-by-step explanation: the table is going down by 4 so the next number is 6

Describe how to use a number line to find the sum of 5 + 13. Then use this method to find the sum.

Answers

Answer:

Start at 13, then count 5 more to the right. You will end at 18, which is your answer.

Step-by-step explanation:

Answer:

the anser is 18

Step-by-step explanation:

you would start at the mark that indicates 13 and go up or to the right 5 more marks or to whichever mark indicates 18

An online game store charges a $20 membership fee and $2.50 for each downloaded game. Write an
equation to model this situation Ifa new member paid the store $67.50 in the last three months, how
many gentes were downloaded?

Answers

Answer:

3?

Step-by-step explanation:

First I added 20 dollars to 2.50 and I got 22.50 than  I divided 67.50 / 22.50 which gave me 3, so I guess the answer is 3. Hope this helped!

Paul plans to buy a movie that has a regular price of $19.99. It is on sale for 25% off, but Paul will have to pay 6% sales tax. Which is the MOST reasonable estimate of the total cost of the movie including tax?




A $14:00
B $15:00
C $16:00
D $17:00

Answers

B is your answer for this question

Answer:

$16.00

Step-by-step explanation:

19.99 x .75 = 14.9925

14.9925 x 1.06 = 17.89205

Nine people are going to share a 128-ounce bottle of soda. How many ounces will each person get to drink?

Answers

128/9=14.222
hope it helps

Which equation best represents the relationship between x and y ?

Answers

Answer:

ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

Convert [tex]\p\frac{5\pi }{18}[/tex] radians into degrees.

Answers

Answer:

50

Step-by-step explanation:

Formula: 1rad × 180/π = 57.296°

evaluate x2 when x=-2

Answers

Answer:

-4

Step-by-step explanation:

x2 is x*2.

If x=-2, then the equation would be -2*2 which is -4.

Answer:

-4

Step-by-step explanation:

x2 when x=-2

-2 (2)

-2 · 2

-4

1.Write 0.50 as a fraction
2.Is 7.199 greater than or less than 7.104
3.Solve: 3x (4+1) - 5 =

Answers

Answer:

1) 50/100

2)greater

3)10

Answer:

Step-by-step explanation:

1) 0.50=50/100=5/10=1/2

2) 7.199>7.104 (greater than)

3) 3x(4+1)-5=3(5)-5=15-5=10

Based on the graph, what is the initial value of the linear relationship?

A coordinate plane is shown. A line passes through the y-axis at -2 and the x-axis at 3.

−2
0
two over three
3
Question 4(Multiple Choice Worth 4 points)
(05.05)Which scenario best matches the linear relationship expressed in the equation y = 32x + 80?

Joseph has $80 in his bank account and spends $32 each day.
Joseph has $80 in his bank account and earns $32 each day.
Joseph had $32 in his bank account and deposited another $80.
Joseph has $32 in his bank account and earns $80 each day.
Question 5(Multiple Choice Worth 4 points)
(05.05)David and Amanda are trying to figure out how long they can live off their $12,350 savings if they spend $240 each month. They have each created an equation.


David’s Equation Amanda’s Equation
y = 12,350 – (240x) y = 12,350 + (240x)


Which person has the correct equation to model this linear relationship?
Amanda’s equation is correct, because their spending will be multiplied by the number of months and then added to their savings.
Amanda’s equation is incorrect, because their spending will increase the amount of their savings.
David’s equation is correct, because their spending will be multiplied by the number of months and then subtracted from their savings.
David’s equation is incorrect, because their spending should be a fixed amount and should not be multiplied.
You must check the box below prior to submitting your exam!

Check this box to indicate you are ready to submit your exam
FDK161.10

Answers

Answer:

(A) -2

Step-by-step explanation:

(8b+12)+(3n+6)+(9b-4)

Answers

Answer:

17b+3n+14

Step-by-step explanation:

no any step

okk

finished

Answer:

Step-by-step explanation:

(8b+12)+(3n+6)+(9b-4)

Remove the parentheses:

8b+12+3n+6+9b-4

Group like terms:

8b+9b+3n+12+6-4

Add the similar element:8b+9b=17b

=17b+3n+12+6-4

add/subtract the numbers:12+6-4=14

=17b+3n+14

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