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

Equation C: y = 6x + 9 Equation D: y = 6x + 2 How many solutions are there to the given set of equations?

Answers

Answer:

No solution

Step-by-step explanation:

Equation C :

y = 6x + 9

Equation D :

y = 6x + 2

By comparing both the equations with slope-intercept form of the equation,

y = mx + b

Where, m = Slope of the line

And b = y-intercept

Slopes of both the lines C and D are common as 6,

Therefore, both the lines will be parallel.

And the set of parallel lines has no solution.

Therefore, given set of equations have no solution.

A language arts teacher at Patton Middle School conducts a random survey of the student body and finds that 15% of the students would be
interested in a summer creative writing program if it were offered. If there are 720 students in the school, how many of them should the teacher
predict will participate in the program?
A) 15 students
B) 84 students
C) 108 students
D) 115 students

Answers

Answer:

115

Step-by-step explanation:

The number of students that  should the teacher predict will participate in the program is option C. 108 students

Calculation of the number of students:

Since 15% of the students would be interested in a summer creative writing program and there are 720 students

So, the number of students should be

= 15% of 720

= 108

Therefore, The number of students that  should the teacher predict will participate in the program is option C. 108 students

Learn more about survey here: https://brainly.com/question/24292263

Find the indicated side of the
triangle.
a
7.
30°
D
b = [ ? IV

Answers

I think it’s 7 and 3 for the second number

Evaluate the function.

f(x)= -2x^2 + 8x - 10

Answers

Answer:

i think its f(x)=-2(x-2)(by the power of 2)-2

Step-by-step explanation:

F(x)=-2(x-2)(by the power of 2)-2

3. Choose the equation of the line parallel to the line 5 = -10x - 5y that passes through the point (-2,5). A y=-2x + 1 C y=x-5 By=-12x + 5 D y = 5x + 11​

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

The equation is in standard form, first, we need to convert it to slope-intercept form.

5 = -10x - 5y

5 + 10x = -5y

Divide both sides by -5 to isolate y variable.

y = -2x - 1

If the line is parallel, the slope remains the same.

To find the y-intercept, you need to plug the values of x and y into the equation, which is y = 2x + b

5 = -2(-2) + b

5 = 4 + b

1 = b

The equation is -2x + 1

Will mark brainliest

Answers

Answer: Volume of prism is LxWxH which is 360

Step-by-step explanation:

The price of a video game system dropped by 18%. What is the current price if it used to be $140?

Answers

Answer:

$114.80

Step-by-step explanation:

Multiply 18% and 140 to find the drop price.

.18 x 140= $25.20  now subtr. this from the original price

$140.00-$25.20=$114.80 is the sale price

Kiran’s mother gets a restaurant bill for $25.



She has a coupon for 15% off.



After the discount is applied, she adds 20% as a tip.



What is the total after the discount and tip? Explain or show your reasoning.

Answers

Answer:

$25.46

Step-by-step explanation:

please someone help me with this iready question id appericiate it xx

Answers

Answer:

3

Step-by-step explanation:

Because y/x=k and the point you're given is (5,15), so when you use the formula on that point it would be 15/5, which would simplify into 3/1 or 3.

Help me please aahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Your picture is not loading or is blank please ask another question.

Find the distance between (-5,3) and (4,-5). Round your answer to the nearest hundredth.

Answers

Answer:

12.04

Step-by-step explanation:

square root 2(9x9 + 6x6) = 12.04

decrease £85 by 20%
help plssss

Answers

Answer:

68

Step-by-step explanation:

it would be 68, as you would take away 17 from the original value

Find the value of angle A and angle B
Pls help me with those questions ):

Answers

Answer:

5)  A= 153

    B= 27

6)  A= 80

    B= 100

7)  A=88

   B=92

8) A= 30

   B= 150

Step-by-step explanation:

if you look closely all the values are equal to those opposite of them

sorry if its wrong

If the exterior angles measurements of a hexagon are: 28°, 45°, 63°, 57º and 81°, find
the measure of the sixth exterior angle.

Answers

97 I am sure that is what it is

A) are un număr de 6 vârfuri, 9 muchii, 5 feţe. b) bazele prismei sunt ......................................................................... c) muchiile laterale sunt .......................................... Pe planele bazelor. 2) Pentru o prismă triunghiulară regulată cu latura bazei de 6 cm şi înălţimea de 43cm: a) suma lungimilor tuturor muchiilor este de .................. Cm; b) aria bazei este de ......... Cm2; c) aria laterală este de ......... Cm2; d) aria totală este de ......... Cm2; e) volumul este de ......... Cm3.

Answers

Answer:

A

Step-by-step explanation:

Write in Slope-Intercept Form an equation of the line that passes through the given points.
(-3,1) and (3,9)

Answers

Answer:

do u hate people like that to who tell you to downlaod viruses

Step-by-step explanation:

please help me!! 8th grade math, Pythagorean Theorem

Answers

Answer:

Step-by-step explanation:

-To find the incline do:6^2+14^2=x^2

Than whatever your 6 and 14 equal, find the square root of it

Simplify the following question:

Answers

The answer is 26x squared/9 plus 13x minus four.

In Figure 3, F k is equal in magnitude but opposite in direction to the kinetic force of friction.


TrueFalse


no random links to random files pls!!!

Answers

Answer:

True

Step-by-step explanation:

The answer is true!!!!!!!!

Seth bought glow-in-the-dark stars to
put on his ceiling. There are 5 big stars
and 25 little stars. He wants to make
constellations that each have 1 big
star. If he uses the same amount of
stars for each constellation, how many
little stars will each have?

Answers

Answer:

Each constellation will have 5 little stars.

Step-by-step explanation:

First, let's organize the information we have:

5 big stars25 little starsEach constellation should have 1 big starEach constellation should have the same amount of stars

Now, let's solve the problem:

Each constellation should have 1 big star, and Seth has 5 big stars, so we can infer that there would be 5 constellations.Since each constellation have 1 big star, and the amount of stars in each constellation is the same, the amount of little stars in each constellation are the same.We have 25 little stars, and there are 5 constellations; 25 ÷ 5 = 5, so each constellation have 5 little stars.

821 X ______ = 8,210

Answers

the answer to this is 10, have a great day :)

Q 18: Melissa uses 150 g of sugar for every 6 eggs. How many eggs should she use with 350 g of
sugar?

Answers

Answer:

14 eggs

Step-by-step explanation:

150 grams need 6 eggs

1 gram need 6 ÷ 150 eggs

350 grams need 350×6÷ 150 =  14 eggs

explain why we need to always balance algebraic equations.

Answers

What you do to one side of an equation you must do to the other in order for it to remain balanced. It’s important to remember that equations have an equal sign and expressions do not. We balance or solve equations, but simplify or evaluate expressions.

Paul has 30 postcards. He has
4 times as many large postcards
as small postcards. How many
small postcards does he have?
How many large postcards?

Answers

Answer:

120

Step-by-step explanation:

is the right answer I think.

Answer:

Paul has 6 small post cards and 14 big postcards

Jim wants to buy a new tablet for his homework. His budget is $350. If the tablet costs $330 plus 4.5% sales tax, can he buy it for $350 or less?​

Answers

Answer:

Yes, he can buy it for $350 or less

Step-by-step explanation:

330.00 x 4.5%

330.00 x 0.045 = 14.85

330.00 + 14.85 = 344.85

or

330.00 x 1.045  = 344.85

At Sunrise Donuts you can buy 6 donuts and 2 kolaches for $8.84. One kolache and 4 donuts would cost $5.36. What is the price for one donut at Sunrise Donuts?​

Answers

Answer:

1.34

Step-by-step explanation:

2. Let u = <4, 8>, v = <-2, 6>. Find u + v. (1 point)

Answers

Answer:

u+v = (4,8)+(-2,6)

=(4-2, 8+6)

=(2, 14)...This is the required answer.

Help plz i will give brainliest!!

Answers

Precipitation is when liquid falls from the atmosphere and reach the surface of the Earth. Condensation is when water vapor changes back into water (in liquid form).

Ed solved a puzzle 3/4 faster than Brett. Brett solved the puzzle in 135 seconds. How long did it take Ed to solve the puzzle.

Answers

Answer:

101.25 seconds.

Step-by-step explanation:

We know that Ed solved the puzzle 3/4 faster than Brett.

Then if Brett solved the puzzle in a time T, Ed solved the puzzle in a time (3/4)*T.

We know that Brett solved the puzzle in 135 seconds, then:

T = 135s

This means that Ed solved the puzzle in:

time = (3/4)*T = (3/4)*135s = 101.25 seconds.

sunglasses cost 70 euros. the exchange rate is 1 euro = 0.859

Answers

Answer: 60.13 USD

Step-by-step explanation: 0.859 x 70 = 60.13

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