[Calculus] find average velocity given position of particle. Show steps, please!

Answers

Answer 1

Answer:

Step-by-step explanation:

Since we are given the position function, the average velocity will simply be the average slope of the position function.

We want to find the average velocity for time 0≤t≤3.

So, our endpoints are t = 0 and t = 3.

By substitution, the position of the particle at those times are:

[tex]x(0)=-5(0)^2=0\text{ and } \\\\ x(3)=-5(3)^2=-45[/tex]

So, we have the two points (0, 0) and (3, -45).

Then by the slope formula, we acquire that:

[tex]\displaystyle m=\frac{(-45)-(0)}{(3)-0}=\frac{-45}{3}=-15[/tex]

So, the average velocity of the particle is about -15.

This implies that the particle was mainly moving backwards for time 0≤t≤3.

Hence, our final answer is C.

*If you differentiated first and then did the steps above, then you found the average acceleration of the particle (in this case it stays constant), not the average velocity. Remember that the slope of the position graph is velocity, and the slope of the velocity graph is acceleration!

Related Questions

Which of the following shows two congruent triangles

Answers

Answer:

all of them

Step-by-step explanation:

all of them seem to have the same marks

but if u get the question wrong my next bet would be to go with only C because it has the marks on the sides if that makes sense

[Image: 1 apple, 3 oranges for each of 5 steps on the slider]
Explore equivalent ratios by using the slider. Complete the sentences below.
For every 4 apples, there are
oranges

Answers

ggfjyggh jhghjkjjhgfghh hgghj

Answer:

1.5

Step-by-step explanation:

Percy bought an encyclopedia pried at $13.85 shipping and handing cost an additional 20 percent of the price

Answers

Answer:

Percy spent $2.77 for shipping and handling.

Step-by-step explanation:

2.77 is 20 percent of 13.85

Malik has two pencils. He has four blue pencils and 2 red pencils. What is the radio of red pencils and blue pencils?

Answers

Answer: 2:4 or 1:2

You could also write it in a fraction 1/2

Answer:

2:4

Step-by-step explanation:

We know that Malik has 4 blue pencils and 2 red pencils. Therefore, the ratio of red pencils to blue pencils is 2:4.

# of red pencils : # of blue pencils

2 red pencils : 4 blue pencils

2:4

I hope this helps!

What is mzA? Enter your answer as only a number

Answers

Answer:

A = 25

B = 65

Step-by-step explanation:

Remark

I hope you mean what is the size of <A? If not leave a note. If I am correct than A and C are complementary (equal 90o) since B is a right angle.

Solution

2x + 1 + 5x + 5= 90 Combine like terms

7x + 6 = 90 Subtract 6 from both sides

7x = 90-6

7x = 84 Divide by 7

x = 84/7

x = 12

==========================

Now that is not quite the answer.

A = 2x + 1

A = 2*12 + 1

A = 25

B = 5x + 5

B = 5*12 + 5

B = 60 + 5

B = 65

What is the best estimate for 82% of 503?

Answers

82% of 503 is 412.46 hope this helps

A serving size of oreo cookies is 3 cookies which is 20% of a box of cookies come ina a box

Answers

Ok? Whats the rest of the question lol

Answer:

tell us the rest of the questionnnnnnn

Step-by-step explanation:

Substitute x=y+1 into the expression 3x -1 and determine the first step

Answers

Answer: the solution becomes 3=y+1-1

Step-by-step explanation:

The first step is to combine like terms meaning you subtract 1-1. Then you are left with 3=y.

A chocolate chip cookie recipe calls for 2 cups of chocolate chips for every 3 3/4
cups of flour. How much flour would you use if you only had 1 cup of chocolate
chips?

Answers

9514 1404 393

Answer:

1 7/8 cups flour

Step-by-step explanation:

Half the quantity of chocolate chips will call for half the quantity of flour:

(3 3/4 cups)/2 = (15/4 cups)/2 = 15/8 cups = 1 7/8 cups of flour

please i need help:/

Answers

Answer:

It is 37%.

The formula for calculating your credit utilization ratio is pretty straightforward. To figure it out for an individual card, divide your credit card balance by your available credit line.

What you you do is divide the credit card ratio for each one.

For the first card: $2,397 (total on card) divided by 16,000, (the limit) is 0.149, we round that to 0.15. (15%)

For the second card: $1,218 (total on card) divided by 5,500 (the limit) which is 0.221. We round that to 0.22. (22%)

The question asks for the OVERALL, and that means to add. 22+15=37.

does anyone know this?!
the answers are
a- 0.12
b- 0.32
c-0.20
d.0.08

Answers

Answer:

Step-by-step explanation:

A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can travel on 7 gallons of gas? 63 7 7 63 ECO II 63 = 3

Answers

Answer: With 7 gallons of gas, the car can travel 147 miles.

The proportion is:

N*(63 miles/3) = total distance the car can travel with N gallons of gas.

Step-by-step explanation:

We know that with 3 gallons of gas, the car can travel 63 miles.

Then for N gallons of gas, we first need to count the number of times that 3 is in N.

This is equal to the quotient between N and 3:

N/3

This is the number of times that we have 3 gallons of gas, in a total of N gallons of gas.

And for each one of these, the car can travel 63 miles.

Then the total distance that the car can travel with N gallons of gas is:

(N/3)*63 miles. = N*(63 miles/3) = total distance the car can travel.

In this case, we want to know how many miles the car can travel with 7 gallons of gas, then if we use that equation we get:

(7/3)*63 miles = 147 miles.

Find the area of a circle with a diameter of \color{green}{16}16start color green, 16, end color green.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
units^2
2

Answers

Answer:

64π

Step-by-step explanation:

Alaina went to the pet store to buy fish for her new 14-gallon fish tank. Each large fish costs $8 and requires 2 gallons
of water. Each small fish costs $3 and requires 0.5 gallon of water. She has $70 to spend on fish at the pet store. Circle
the combination of large and small fish can Alaina purchase for her fish tank?

Answers

Answer:

Small fish= 7

Big fish= 21/4 (so she'll get 5 big fish)

Step-by-step explanation:

With the problem, there are two equations, one for the cost, and one for the amount of water. For the first equation, Alaina can spend 70 dollars and the fish cost 8 and 3 dollars so the equation is 70=8b+4s (s for small and b for big). Then for the second equation there are 14 available gallons and the fish require 2 and .5 gallons so 14=2b+0.5s. Then you just solve the system of equations.

Which criteria must be true to conclude that ABCD is a parallelogram?

AE⎯⎯⎯⎯⎯≅EC⎯⎯⎯⎯⎯ and DE⎯⎯⎯⎯⎯≅EB⎯⎯⎯⎯⎯

AE=12BC

AC⎯⎯⎯⎯⎯≅BD⎯⎯⎯⎯⎯

AE⎯⎯⎯⎯⎯≅BE⎯⎯⎯⎯⎯ and DE⎯⎯⎯⎯⎯≅CE⎯⎯⎯⎯⎯
Parallelogram A B C D with diagonals A C and B D intersecting at E.

Answers

Answer:

AC⎯⎯⎯⎯⎯≅BD⎯⎯⎯⎯⎯

AC≅BD

A and B are sets of real numbers defined as follows.A= {z│z > 4}B= {z│z ≤ 9}Write A U B and A ∩ B using interval notation. If the set is empty, write Ø

Answers

Answer:

[tex]AnB=(5,6,7,8,9)[/tex]

[tex](AUB)=(5,\infty) U (-\infty,9)[/tex]

Step-by-step explanation:

From the question we are told that

A= {z│z > 4}

B= {z│z ≤ 9}

Generally A&B are assumed to be really integers

therefore

A={5,6,7,8,.....}={z│z > 4}

B=(9,8,7,6.....)={z│z ≤ 9}

a)For [tex]AnB[/tex]

Mathematically the [tex]AnB[/tex] is given as

[tex]AnB[/tex]=[tex]A=(5,6,7,8,9,10......) n B=(9,8,7,6,5,4,3,2,1......)[/tex]

[tex]AnB[/tex]=(5,6,7,8,9)

Therefore the intercept [tex]AnB[/tex] is Given as

[tex]AnB=(5,6,7,8,9)[/tex]

b) for [tex]AuB[/tex]

Mathematically the [tex]AuB[/tex] is given as

[tex]AuB[/tex]=[tex]A=(5,6,7,8,9,10......) U B=(9,8,7,6,5,4,3,2,1......)[/tex]

[tex]AuB[/tex]= [tex](5,\infty) U (-\infty,9)[/tex]

Therefore the union [tex]AuB[/tex] i given as

[tex]AuB[/tex]= [tex](5,\infty) U (-\infty,9)[/tex]

-2(7-15)
What is the value of
?
4
O 4
0 -2
O 2
O 4

Answers

The answer to your question is 4

by what number must row 2 in the matrix??

Answers

Answer:

Look at the picture

Step-by-step explanation:

i took the test

The row 2 in the matrix must be multiplied by 0.5

Matrix Multiplication

According to the question;

The row 2 contains elements; 2 0 -2

Hence, let the required number to multiply row 2 be; x so that;

2 × X = 1

0 × X = 0

-2 × x = -1

From all the equations above; it follows that;

x = 1/2 = -1/-2

Hence, the required number is; 1/2 = 0.5

Answers

Answer:

wheres the work???⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

where's the screenshot?

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+116x+75

Answers

Answer:

7.85

Step-by-step explanation:

the other guy is incorrect,

2h+y/9h^2-y^2 - 4h^2/3h+y what is the least common denominator in this expression

Answers

Answer: It is 9

Step-by-step explanation:

The discount price of a hat is $24 whats the regular price if the discount is 20%

Answers

Answer:

Step-by-step explanation:

discounting by 20% is the same as marking to 80% of the original cost. 80% = .8

set up equation and solve

.8x=24

x=30

At the bowling alley, there are 25 people bowling. There is a 60% increase in bowlers the next night. How many people are bowling on the second night?

Answers

Answer:

There would be 40 people bowling on the second night.

Step-by-step explanation:

25 x .60 = 15

60% of 25 is 15.

25 + 15 = 40

Answer:

Step-by-step explanation:

Which of the following numbers
is a solution to this inequality?
14x > 36
3
2.

Answers

Answer:

[tex]x=\frac{18}{7}[/tex]

Step-by-step explanation:

The mean undergraduate cost for tuition, fees, room, and board for four-year institutions was $26,489 for a recent academic year. Suppose that the standard deviation is $3204 and that 36 four-year institutions are randomly selected. Find the probability that the sample mean cost for these 36 schools is Less than $25,000

Answers

Answer:

0.00265

Step-by-step explanation:

We solve using the z score formula

z = (x-μ)/σ/√n

where

x is the raw score = $25,000

μ is the population mean = $26,489

σ is the population standard deviation = $3204

n = random number of samples = 36

For x < 25,000

z = 25000 - 26489/3204/√36

z = 25000 - 26489/3204/6

z = -1489/534

z = -2.78839

Probability value from Z-Table:

P(x<25000) = 0.0026485

Approximately = 0.00265

The probability that the sample mean cost for these 36 schools is Less than $25,000 is 0.00265

on the medicine bottle it says 2 grams for a 60 lb person. the child weighs 105 lbs. how much medicine should they get?

Please help fast!!

Answers

Answer:

3.5 Grams

Step-by-step

set 2grams/60lbs equal to xgrams/105

x representing the amount of medicine needed for a 105lb child

Then you divide 60 by 105.

60/105=1.75

Now you multiply 2 by 1.75.

2 x 1.75 = 3.5

3.5 is your answer because 105 is 1.75 times more lbs than 60lbs

meaning you would need 1.75 times the amount of 2grams

to determine the value of x, which is 3.5grams

Find whole numbers a,b,c so that

Answers

Answer:

Step-by-step explanation:

I can't give answer you by step to step cause I can't make any symbols through my computer.

A student takes 25 minutes to solve 10 math problems in class if the student solve similar problems at the same rate how many minutes will it take the student to solve 12 math problems

Answers

Answer:

The answer would be 30 minutes

Step-by-step explanation:

Find how many ties 12 can go into 10. (Divide 12 divided by 10=1.2)

Multiply 25 times 1.2 (30)

Your answer would be 30 minutes

Hope I helped!! :)

Sorry if it's wrong! :(

Pls mark brainliest!!!

If 10 percent of a number equals 30, find 40 percent of that number.

Answers

The answer is 120
To find the whole number given the fraction and the number by the fraction, you multiply the number by the reciprocal/inverse of the fraction.
30 * 100/10= 300
So the whole number is 300 and to find 40% just multiply
300 * 40/100 = 120
:D

What is x?
25.12 = 27.10
PLEASE HELP MEEEE

Answers

Answer:

where's the x in the equation?

Answer:

25/12 Therefore, this equation is true: 25/12 = 25/12 If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction. 25/12 = 2 1/12. Simplify Fractions.

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