an astronaut drops a rock off the edge of a cliff on the moon. the distance, d(t), in meters, the rock travels after t seconds can be modeled by the function d(t) = 0.8t^2. what is the average speed, in meters per second, of the rock between 5 & 10 seconds after it was dropped?

Answers

Answer 1

Answer:

The average speed between the times given is 12 m/s

Step-by-step explanation:

Here, we want to calculate rate of change between the times given

Mathematically , we can get the average rate of change using the formula

f(b)-f(a)/b-a

in this case, b = 10 s and a = 5 s

f(b) is d(10) = 0.8(10)^2 = 80

f(a) is d(5) = 0.8(5)^2 = 20

Rate of change is thus;

(80-20)/(10-5) = 60/5 = 12 m/s


Related Questions

Solve the system of equations without graphing. Show your reasoning.

2y=x−4
4x+3y=5

Answers

[tex]\displaystyle \begin{cases} 2y=x-4 \\4x+3y=5 \end{cases } \Rightarrow \ominus \left \{ {{x-4=2y} \ | \cdot 4 \atop {4x+3y=5}} \right. \Rightarrow \\\\\\ 4x-16-4x-3y=8y-5 \\\\ -3y-16=8y-5 \\\\ -3y-8y=16-5 \\\\-11y=11 \\\\ y=-1 \ \ ; \ \ x=2y+4=2 \\\\ \rm Answer : \ (2 \ ; \ -1 )[/tex]

what is the probability of flipping a head in 3 consecutive flips of a fair coin?

Answers

the probability is 1/30

Plz help will give 100 points

Answers

Answer: i think is d not sure tho

Step-by-step explanation:

Write an equivalent expression (p-4)(p+3).

Answers

Answer:

p^2 - p - 12

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

[tex](p - 4)(p + 3) = {p}^{2} + 3p - 4p - 12 \\ = {p}^{2} - p - 12[/tex]

[tex]x^{2} -25+24[/tex]

Answers

Answer:

(x-24)(x-1)

Step-by-step explanation:

common sense + practice

kinda did it in my head

During the day the temperature was 2 degrees. At night, the temperature dropped 18 degrees. What was the temperature at night?

Answers

Answer:

-16 Degrees

Step-by-step explanation:

Just subtract: 2-18=negative 16 --> -16

ANSWER PLZZZZZZZZZZZZZ

Answers

Answer:

to?

Step-by-step explanation:

which phrase describes the solution set for this function?

f(x)= 2(x-1)^2 +4


A.) two complex solutions
B.) one real solution
C.) two real solutions
D.) one real solution and one complex solution

Answers

Answer:

Step-by-step explanation:

C

Answer:c two real solutions

Step-by-step explanation:

Please can you help me​

Answers

Please check the attached picture

Find the difference.

-8 - 20

Answers

Answer:

-8 -20 or - 8 - 20

correct me if I'm wrong

Answer: -28

Step-by-step explanation: the word "difference" in math means subtraction. so -8-20 is -28

what is the solution to the original equations 8(3x-7) = -6(x+7)+4 ? Show your work

Answers

3/5

Step-by-step explanation:

8 (3x-7)=-6 (x+7)+4

24x-56=-6x+(-42)+4

24x+6x=-42+4+56

30x=-38+56

30x=18

30x/30=18/30

x=3/5

find the positive difference between 16 and -2​

Answers

Answer:

14

Step-by-step explanation:

16-2= 14

Hope this helps!

Which of the following is a solution to the equation 1649

Answers

Answer:

But what do we have to do ? like add subtract or multiply?  i dont know

Step-by-step explanation:

A __________ is a specific number whose value does not change.

Answers

Answer:

Constant

Step-by-step explanation:

please help me........​

Answers

It’s called angle bisector

answer fast please and thank you

Answers

Answer:

yes

Step-by-step explanation:

Someone plz help URGENTLY will mark brainliest plz no links or will be reported ​

Answers

Step-by-step explanation:

Given the function, f(x) = -3x + 4, you basically need to choose any input (x-value) and substitute those values into the function.

f(0) = -3x + 4, where the input is x = 0.

       f(0) = -3(0) + 4

       f(0) = 0 + 4

       f(0) =  4 [this is the value of your final column, in the f(x)].

   2. f( 1 ) = -3( 1 ) + 4, where the input is x = 1.

       f( 1 ) = -3( 1 ) + 4

       f( 1 ) = -3 + 4

       f( 1 ) =  1 [this is the value of your final column, in the f(x)].

   3. f(2) = -3(2) + 4, where the input is x = 2.

       f(2) = -6 + 4

       f(2) = -2 [this is the value of your final column, in the f(x)].

All you need to do is plot the following points on your graph:

{(0, 4), (1, 1), (2, -2)}  

In 1846 the depth of the river was 5 feet deep. In 1847 it dropped to 3.2 feet. This year, 1848, it rose to 6.8 feet. Find the percent for EACH change in river depth

Answers

Answer:

1846= 0% change

1847= 3.2/5 ×100 = 64% decrease in river

1848= 6.8/3.2 ×100 = 212.5% increase

( used 3.2 because that was the last record)

Make my life easier and do 5-7 please.

Answers

Answer: 5. -64 6. 81 7. 144

Step-by-step explanation:

5. -4 x -4 = +16. +16 x -4 = -64

6. -3 x -3 = 9. 9 x -3 = -27. -27 x -3 = 81

7. kiera + 11 of her friends = 12 people total if 12 people each give fliers to 12 people, its 12 x 12 which is 144

Answer:

(-4)³; (-3)⁴; 12²

Step-by-step explanation:

Q5-4 * - 4* - 4 = (-4)³Q6-3 * -3 * -3 * - 3 = (-3)⁴Q7

Each 12 people gives 12 fliers to others. The number of people who gets fliers is:

12 * 12 = 12²

Solve for d.

3 + d ≤ 3 - d

Answers

Answer:

[tex]3 + d \leqslant 3 - d \\ d + d \leqslant 3 - 3 \\ 2d \leqslant 0 \\ d \leqslant 0 \\ thank \: you[/tex]

1) Cancel 3 on both sides

d≤−d

2) Subtract -d from both sides.

d+d≤0

3) Simplify  d+d  to  2d.

2d≤0

4)  Divide both sides by 2.  

d≤0

solve. 2x−4+2x=−6x−2

Answers

Answer:

x = 1/5

Step-by-step explanation:

2x − 4 + 2x = −6x −2

Combine the like terms (2x)

Result:

4  −  4  =  − 6  − 2

Add 4 to both sides:

4 −  4 + 4  = − 6 −  2 + 4

Result:

4 = − 6 + 2

Add 6x to both sides.

4  +  6  = − 6  +  2  +  6

Result:

1 0 = 2

Divide both sides by 10:

1 0 / 1 0 = 2/ 1 0

Result:

x = 1/5

Therefore, x = 1/5 would be your answer.

-kiniwih246

Write the algebraic expression into words 9m-3

Answers

Answer:

You probably already figured it out, but the correct answer is the last one. Subtract 3 from the product of 9 and m

Step-by-step explanation:

Reason for this is 9m is the same as 9 multiplied by m, or the product of 9 and m. You always do multiplication before subtracting or adding, therefore you are subtracting 3 FROM the product of 9 and m

I hope this was clear

Brainiest if it helped?

Its ok if not. Have a great day and good luck with school!

which of the following pairs of triangles can be proven by ASA?​

Answers

Answer:

B

Step-by-step explanation:

Jake said an equivalent expression is -10 + 3/7g. What was the likely error made by Jake?

Answers

Answer:

you can do this on Math    way . com

Step-by-step explanation:

Answer:

He thought swapping the - sign would make it equl.

Step-by-step explanation:

The price of an item yesterday was $85. Today, the price rose to $136. Find the percentage increase

Answers

60%

Step-by-step explanation:

(136 - 85)/85 × 100%

= 51/85 × 100%

= 51/17 × 20%

= 3 × 20%

= 60%

help me again and agiain

Answers

Answer:

7261.92

Step-by-step explanation:

Product means you mutilpy them together

Answer:

7261.92

Step-by-step explanation:

Hope this helps!

plz help me! 50 points

Answers

-3<2/3k-5<0-3+5<2/3k<52<2/3k<56<2k<153<k<15/2

Graph attached

Shading should be done from 3 to 15/2 or 7.5

It should be open dot

Can anyone help me about question 2

Answers

9514 1404 393

Answer:

  3(4/3)^2543

Step-by-step explanation:

Using logarithms base 2, we have ...

  [tex](a_n)^{\log{a_n}}=(a_{n+1})^{\log{a_{n-1}}}\\\\(\log{a_n})(\log{a_n}) = (\log{a_{n-1}})(\log{a_{n+1}}) \\\\ \dfrac{\log{a_{n+1}}}{\log{a_{n}}}=\dfrac{\log{a_n}}{\log{a_{n-1}}}=\dots\dfrac{\log_2{16}}{\log_2{8}}=\dfrac{4}{3}[/tex]

That is, the ratio of each term to the previous is a constant equal to 4/3. This is the definition of a geometric sequence. This sequence has first term 3 and common ratio 4/3, so the general term is ...

  [tex]\log_2 a_n=3\left(\dfrac{4}{3}\right)^{n-1}[/tex]

and the 2544th term is ...

  [tex]\boxed{\log_2{a_{2544}}=3\left(\dfrac{4}{3}\right)^{2543}}[/tex]

mr Andrew bought 4 boxes of crayons at the store to share with his students. Each box contained a total of 64 crayons. What is the total number of crayons me Andrew bought at the store?

Answers

256. multiply 4 by 64

Which of the numbers below correctly represents (-1)17?

Answers

Answer:

Step-by-step explanation:

https://answer.ya.guru/questions/6481809-which-number-line-correctly-represents-the-irrational-numbers.html

Answer:

i dont know because you didnt give number but is one -17 is so its that

Step-by-step explanation:

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