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

Which of the following is a factor of 21?​

Answers

Answer:

The factors of 21 are 1, 3, 7 and 21. A factor is a number that can divide evenly into a given number. Because 21 can be divided by numbers other than itself and 1, it is called a composite number. Every number has 1 and itself as a factor. Numbers that have no other factors are called prime numbers.

Step-by-step explanation:

What is the value of tan x

Answers

Answer:

THE ANSWER HAS TO BE 6/10

Step-by-step explanation:

be careful there are people scamming on this app

convert 3.34 as a fraction in its simplest form​

Answers

Answer:

3 17/50

Step-by-step explanation:

hehehdhdhdhdhdhshshshhs​

Answers

bghvfdddddcvbnmjkliuytrftfgvvvvv  nbv nbv hjgfdc

Step-by-step explanation:

hgfdcvbnmkloiuytredfxghgcfxchgjnjngjggjjjjjttttttttttttttttrrrrrtkkkkkkkkkkddddddddddddddddddddddddddddddddddujhhhhhhhhgfnmmmmmmmmmhhurtghbfnvbmgjkuttdggggggggggggggggggggggggggggggggggggggggggggggggggggf

Divide the polynomial in the numerator by the monomial in the denominator. Simplify your answer. 20x^5 – 6x^4 + 12x^3 + 12x^2 10x^2​

Answers

Step-by-step explanation:

do u have a picture? its mixed up

Answer:

 2x • (2x2 + 1) • (5x - 3)

Step-by-step explanation:

5.4    Find roots (zeroes) of :       F(x) = 2x2 + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  2  and the Trailing Constant is  1.

The factor(s) are:

of the Leading Coefficient :  1,2

of the Trailing Constant :  1

Final result :

 2x • (2x2 + 1) • (5x - 3)

can someone help me

Answers

Answer:

z equals 13 yeeeeeeeeetttttttttttttt I hopppppeeeee thhhhhaaaaatttttt heeeeelllllllpppppppsssssss

I’ll mark brainliest pleaseeee

Answers

Answer:

it is c 1440

Step-by-step explanation:

you multiply 8 times 10 get 80

then multiply 80 and 18 get  1440

AREA = 1440

Answer:

mark her as brainliest

Step-by-step explanation:

please thx

Pls help I have this homework !! bye I will mark you the best or brainliest!!

Answers

Answer:

90-54w

Step-by-step explanation:

18(5−3w)=  

18*5=90 , 18*3w= 54w =  

so simplified it would be = (90-54w)

Please mark me as brainliest :D

ILL MARK BRAINLIEST TO FIRST PERSON THAT ANSWERS CORRECTLY!

Annita baby sits at a rate of $7 per hour. Identify the type of relationship this represents. Explain your answer.​

Answers

Answer: The relationship is proportional.

Step-by-step explanation: Because the baby sitters work corresponds to their hourly pay. (I think)

A scientist has collected the following data on the population of a bacteria colony over a thirty-minute period:

5 minutes: 78,000
10 minutes: 234,000
15 minutes: 657,000
20 minutes: 1,784,000
25 minutes: 5,040,000
30 minutes: 14,980,000

Which type of graph would be best to use to display the growth of the colony?
A.) a bar graph
B.) a circle graph
C.) a histogram
D.) a line graph

Answers

I think it’s D sorry if it’s wrong

What is the surface area of this right rectangular prism with dimensions of 6 centimeters by 6 centimeters by 15 centimeters?
432
425
445
412

Answers

Answer:

432

Step-by-step explanation:

Select all values of x that make the inequality −x+6≥10 true.




-3.9


4


-4.01


-4


4.01


3.9


0


-7

Answers

This is because the 6 is dropping value due to the denomter of so there it is -3.9

On a tree, the trunk splits into 5 branches. Then each branch splits into 5 smaller branches, and each of those branches splits into 5 very thin branches. How many very thin branches are on the tree?

Answers

Answer:

There are 125 very thin branches.

5 branches x 5 smaller branches = 25 smaller branches25 smaller branches x 5 very thin branches = 125 very thin branches125 very thin branches in your final answer!

PLEASE HELP ME

A student bought 24 pencils for every 16 markers. The number of pencils bought is directly proportional to the number of markers.
What is the constant of proportionality that relates the number of pencils to the number of markers?
5/3
2/3
3/2
3/5

Answers

I think that it would be 3/2 because you are simplifying the fractions 24/16.

what is the value of x and y?

Answers

Answer: (x,y) has the meaning of plane's point coordinates. The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates. (x,y) has the meaning of a complex number: x is the real part and y is the imaginary part: x+yi.

Step-by-step explanation:

Is "three less than a number" equivalent to "the difference of three and a number?"
Explain your answer.

Answers

I’ll use “x” as “a number”

So it’s basically asking if-

X-3=X-3

Obviously the answer is yes.
X-3 is equal to X-3.

helpppp helping my sister

Answers

Answer:

i wanna say scalene is the first and thrid triangle. The second one is the 5th triangle and the rest go into the last catigorrie

Step-by-step explanation:

pleaseee helppppp !!

Answers

Answer:

1. -9xy

2. 6ab

3.-8mn

4. 17nx

Step-by-step explanation:

Please help me with the answer to these. The second picture goes along with the first

Answers

39 cents that would be the answer for your question hopefully

On an island there are 7 cities each 2 of them connected by a direct road they are building a 8th city they also want it to connect with the other 7 existing cities how many roads will there be after they build the 8th city

Answers

Answer:

After the 8th city is built there will be 28 roads between the cities

Step-by-step explanation:

The given parameters are;

The number of cities initially on the island = 7 cities

The number of roads between each 2 cities = 1 road

Therefore, we have the number of roads between the 7 cities are;

7 cities taking 2 at a time = ₇C₂

[tex]_7C_2 = \dfrac{7!}{(7 - 2)!\cdot 2!} = 21[/tex]

The initial number of roads between the 7 cities = 21 roads

The number of roads, 'n' there will be after the 8th city is built is therefore;

[tex]n = _8C_2 = \dfrac{8!}{(8 - 2)!\cdot 2!} = 28[/tex]

The number of roads there will be after the 8th city is built, n = 28 roads.

You track the temperature from the time you you eat your lunch to the time you go to bed. you find that it drops 2 decrease each other for 10 hours. which expression that shows the change in temperature?

Answer:
-2 times 10 or
-2*10

Answers

Answer:

they both are multiplucation Which means they both increse so ether the answers are wrong or the question its self is wrong.

The worlds heaviest lobster weighted 44 pounds 6 ounces. What is the lobsters weight in ounces. Explain your thinking

Answers

Answer:710

Step-by-step explanation:

What is
7.5% tax on
a $18
sweater?

19.35 or 1.35

Answers

Answer:

$1.35 will be your answer

Step-by-step explanation:

18 x 0.075 = 1.35

Answer:

[tex]1.35[/tex]

Step-by-step explanation:

7.5% of 18$ is 1.35.

It would make no sense if the tax cost more than the actual item.

Please help ill give brainlest

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

pls help me!! will give brainliest

Answers

Answer: (0,0)

If AB is translated right 5 units and down two then both points are translated by that amount.

A currently is (-5, 2)

x=-5 and y=2

Since youre going right by five your x value will increase by 5 so the point will instead be at x=0

Since youre going down by two your y value will decrease by 2 so the point will instead be at y=0

x=0 and y=0

(0,0)

Answer: its 0,0

Step-by-step explanation:

someone please help me answer this question

Answers

Answer:

10. $33.5, c=3.50r+9

11. $51

Step-by-step explanation:

A tool box has the dimensions of 10 in by 7 in by 3 in. If Deena plans to double all three dimensions to build a larger tool box, she believes she would double the volume of the tool box. Is she correct?

Answers

Answer:

She will not be correct

Step-by-step explanation:

Given data

Length=10in

Width=7in

Height=3in

The volume of the toolbox

V=10*7*3

V=210 in^3

Let us double the volume and see

2V= 210*2

   =420 in^3

Let us also double the individual dimensions

Length=20

Width=14in

Height=6in

V= 20*14*6

V=1680 in^3

Hence the volume will be different, she will not be correct

Topografía. La superficie de una montaña se modela mediante la ecuación ℎ(, ) = 5000 − 0.001 2 − 0.004 2 . Un montañista se encuentra en el punto (500, 300, 4390). ¿En qué dirección debe moverse para ascender con la mayor rapidez?

Answers

Respuesta:

(-1, - 2,4)

Explicación paso a paso:

Dada la función:

ℎ (x, y) = 5000 - 0,001x2 - 0,004y2

Tomando la derivada parcial con respecto a ambas direcciones (xey) se obtiene la dirección del vector de gradiente, donde es posible el movimiento más rápido

H '(x, y) = (dh / dx, dh / dy)

dh / dx = 2 (-0.001x) = - 0.002x

dh / dy = 2 (-0.004y) = - 0.008y

H '(500, 300) = (- 0,002 (500); - 0,008 (300))

H '(500, 300) = (- 1; - 2,4)

Por lo tanto, el montañista ascenderá con la mayor velocidad en el punto (-1, - 2.4)

I did my best to fit it all lol, can someone please help? <3

Answers

Answer:

8a. 0 8b. -1/3

Step-by-step explanation:

slope formula: [tex]\frac{y_{2} - y_{1}}{x_{2} - x{1}}[/tex]

8a. => (8 + 12)/(17 - 17) = 20/0 = 0

8b. (1 + 2)/(-3 - 6) = 3/-9 = - 1/3

Answer:

8a: 0 8b: -1/3

Step-by-step explanation:

slope is y2-y1/x2-x1

8a: 8+12/0=0

8b: 1+2/-3-6=3/-9=-1/3

12 more to go please help me

Answers

Step-by-step explanation:

Total number of people = 48 + 32 + 16

= 96

P(2 or more items) =

[tex] \frac{32}{96} \\ = \frac{1}{3} [/tex]

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