The velocity of a car increases from 4 m/s at 2 sec. To 32 m/s at 9 sec. What is the car’s average acceleration?

Answers

Answer 1

Answer:

[tex]a=4\ m/s^2[/tex]

Step-by-step explanation:

Given that,

The velocity of a car increases from 4 m/s at 2 sec to 32 m/s at 9 sec.

We need to find the car's average acceleration. It can be given by the change in velocity divided by the change in time. So,

[tex]a=\dfrac{v-u}{t_2-t_1}\\\\a=\dfrac{32-4}{9-2}\\\\a=4\ m/s^2[/tex]

So, the car's average acceleration is equal to [tex]4\ m/s^2[/tex].


Related Questions

Given f (x) = 9x– 15, find f (3).

Answers

X=2
F(3)=9x-15+15
+15
18/9 x=2

Answer:

f(3)=12 should be the answer

Step-by-step explanation:

replace x with 3 and solve

Which expression represents “two less than the product of three and a number”?

Answers

Step-by-step explanation:

it says two less which means that you would be subtracting 2 from 3 and a number wich is 3x - 2

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The expression that represents the statement

two less than the product of three and a number” is

3M - 2.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x - 4 + 5 is an expression.

3x = 5 + 4 is an expression.

We have,

two less than the product of three and a number

Let the number be = M

This can be written as,

3 x M - 2

= 3M - 2

Thus,

The expression that represents the statement

two less than the product of three and a number” is

3M - 2.

Learn more about expressions here:

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Sketch a cylinder with radius 8 feet and height 3 feet, then find the volume.

Answers

Answer: 339.29ft^3

Step-by-step explanation:

The formula for a cylinder is πr^2h

In your scenario, r=8 and h=3 so put those into the equation -

π8^2(3) and just solve!

Please please help I will mark brainliest explain your answer

Answers

Answer:

BE congruent to AD

Step-by-step explanation:

not sure

Answer:

ba

Step-by-step explanation:

The expression (x^13)(x^6) is equivalent to x^p. What is the value of p?

Answers

Answer:

p=19

Step-by-step explanation:

since the instructions say that ([tex]x^{13}[/tex])([tex]x^{6}[/tex]) is equivalent to [tex]x^{p}[/tex], we can make the equation:

([tex]x^{13}[/tex])([tex]x^{6}[/tex])=[tex]x^{p}[/tex]

now, apply the laws of exponents; [tex]a^{m} * a^{n} =a^{m+n}[/tex]

in that case, since we're multiplying x to the 13th power by x to the 6th, the result is [tex]x^{13+6}[/tex], which is [tex]x^{19}[/tex]

the equation now:

[tex]x^{19}[/tex]=[tex]x^{p}[/tex]

since the exponents are at the same base, we can solve the equation

19=p

so p is 19

hope this helps :)

it is 212.5°C outside when the temperature starts increasing by 2.5°C each hour. How long will it take for the temperature to reach 25°C?

Answers

Answer: 75 hours

Step-by-step explanation:

Assuming you meant decreasing... you find out the span between 212.5 and 25 which is 187.5 and then divide it by 2.5 (which is the change)

When would you use the vertical line test?
A. to test whether a graph is linear
B. to test whether a graph has an x-intercept
C. to test whether a graph is continuous
D. to test whether a graph represents a function

Answers

Answer:

D. to test whether a graph represents a function

Step-by-step explanation:

The vertical line test is used to determine if a graph of a relationship is a function or not.If you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.

Answer:

D. to test whether a graph represents a function

Step-by-step explanation:

I got it right on my test

I hope this helps :)

U are suppose to find out what they did wrong in the first box. Then in the secon box show the correct way. Help me and if u don’t know don’t answer

Answers

Answer is 3

Step-by-step explanation:

first what you do is you rearrange the numbers so the eqaution is -2x+4=-2

SO what you do is (4) - 4 to cancel it out then you do the same thing on the other side so (-2)-4=-6 so the equation now is -2x=-6 then you divide -2 to cancel it out and you do the same thing -6 divide by -2 is 3 so the answer is 3

solve for r, A=P(1+mr)

Answers

r = A 1
— - —
Pm m



:)

I need help with these questions. Please show workings.​

Answers

Answer:

see explanation

Step-by-step explanation:

∠ AOB = 360° - 264° = 96°

The altitude OM bisects ∠ AOB and the base AB

(a)

∠ MOB = 0.5 × 96° = 48°

Using the cosine ratio in right triangle MOB

cos48° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{OM}{OB}[/tex] = [tex]\frac{18}{r}[/tex] ( OB is the radius r of the circle )

Multiply both sides by r

r × cos48° = 18 ( divide both sides by cos48° )

r = [tex]\frac{18}{cos48}[/tex] ≈ 27 cm ( to the nearest cm )

(b)

Using the tangent ratio in the right triangle MOB

tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{MB}{OM}[/tex] = [tex]\frac{MB}{18}[/tex] ( multiply both sides by 18 )

18 × tan48° = MB then

AB = 2 × MB = 2 × 18 × tan48° = 36 × tan48° ≈ 40 cm ( to nearest cm )

I need help! I would appreciate if you show me the work! Thank you !

Answers

Answer:

-11 for the first one and 0 for the second one

Step-by-step explanation:

13. M = -11
14. M = 0
Hope this helps

plz answer only if you know it's correct. willl give brainliest to best answer

Answers

Answer:

i believe is is 3/2

Step-by-step explanation:

as y goes up 30 x goes over 20

30/20 simplified is 3/2

Answer: slope = 3/2

brainliest plz

Step-by-step explanation:

8x + 6 = 2(4x + 3) is there a solution?​

Answers

Answer:

All real numbers would be your solution to this question. <3

Step-by-step explanation:

Answer:

all real numbers are solution

Step-by-step explanation:

What is the factored form of 49x2 - 56x + 16
(7x-4)2
(7x + 4)(7x-4)
(7x +4)2
O (7x-8)2

Answers

x = 4/7 = 0.571 I believe so

Answer:

(7x-4)^2

Step-by-step explanation:

PLEASE HELP ASAP!!!

A plane that carries mail makes a round trip each day from Chicago to New York. It makes 1 intermediate stop on the way to New York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?

Answers

Answer:

should be 2 excluding the start (origin)

Step-by-step explanation:

3a.) Today, everything at a store is on sale. The store offers a 20% discount. 1 poin
The regular price of a T-shirt is $18. What is the discount price? *
Your answer

Answers

Answer:

14.40

Step-by-step explanation:

100%-> 18

100-20=80

80%-> 14.40

The grid you see below is in the shape of a rectangle. What is the area, in square units, of the shaded part?

Answers

Answer:

8 units²

Step-by-step explanation:

The area (A) of the shaded part (right triangle ) is calculated as

A = [tex]\frac{1}{2}[/tex] × area of rectangle

   = 0,5 × 4 × 4 = 0.5 × 16 = 8 units²

Answer:

8 units ^2 are shaded

Step-by-step explanation:

The total area of the square is 4 * 4 = 16

1/2 of the square is shaded so

1/2 * 16 = 8

8 units ^2 are shaded

What is the radius of a circle whose area is equal to the sum of the areas of two circles whose radii are 20cm & 21cm?

Answers

Answer:

29

Step-by-step explanation:

20^2 times 3.14= 1256

21^2 times 3.14= 1384.74

the sum of those two is 2640.74

the square root of that is 29

The radius of the circle is 29 cm.

We have the circle whose area is equal to the sum of the areas of two circles whose radii are 20cm & 21cm.

We have to find the radius of the circle.

Suppose you have to find the radius of a circle whose area is equal to the sum of the areas of two circles whose radii are r and R. How will you approach it?

Let the radius of the circle be x.

We know that the area of the circle is [tex]\pi r^{2}[/tex]. Then -

[tex]\pi x^{2} =\pi r^{2} +\pi R^{2} \\x=\sqrt{r^{2} + R^{2}} \\[/tex]

Now, in the question given to us -

r = 20cm  and R = 21cm  and 'x' denotes the radius of the circle we have to find.

Substituting the values in the above formula, we get -

x = [tex]\sqrt{400+441}[/tex]

x =29 cm

Hence, the radius of the circle is 29 cm.

To solve more problems on finding the area of circle, visit the link below -

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find the slope

y=-2x+4​

Answers

The slope is -2. Since it says -2x.

Answer:

srry i need the points so i can go to sleep because i have to fish my work

Step-by-step explanation:

tristan has 12 ounces of coffee. he drinks 2 ounces. what is the percentage of ounces Tristan has left of his coffee​

Answers

Answer:

Step-by-step explanation:

Pls helpppp I don’t know how to do this

Answers

Answer is 53911

Step-by-step explanation:

Just multiply to get the answer

Answer:

The answer is 526.5

Step-by-step explanation:

First, I separated the shapes. Then, I found the area of each shape. The area of the triangle was 149.5, and the area of the rectangle was 377. Finally, I added them together and got 526.5.

HOPE THIS HELPED!!! PLEASE VOTE BRAINLIEST!!

There is a bag filled with 4 blue, 3 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 reds?

Answers

Answer:

Step-by-step explanation:

4+3+5= 12 marbles

3/12 * 2/11 = 6/132 = 4.5%

What do I do 900m = 2.700​

Answers

Step-by-step explanation:

given

900m = 2.700

m = 2.700 / 900

m = 0.003

Hope it will help :)

Plz help me I need in today

Answers

Answer:

Part b.

Step-by-step explanation:

Ok, so I think what you can do for part b. is pretty simple. You know that $820 is for 4 weeks of work. 820/4 = 205. So he gets $205 per week. If 820 = 100%, then 205*3 = 75%. So the answer would be he will recieve 75% of his usual pay, and that will be $615.

Fernando built a robot to filter air and water efficiently. He expects the robot to filter more than 512 liters
of air and water while using less than 9 Joules of energy.
A represents the number of minutes the robot filters air, and W represents the number of minutes the
robot filters water.
21A + 14W > 512 represents the number of minutes the robot filters air and water to filter more than
512 liters of air and water.
0.36 A + 0.6W < 9 represents the number of minutes the robot filters air and water while using less
than 9 Joules of energy.
Does the robot meet both of Fernando's expectations by filtering air for 15 minutes and filtering water for
5 minutes?

Answers

The robot does not meet both of Fernando's expectations.

A represents the number of minutes the robot filters air.

W represents the number of minutes the robot filters water.

What is inequality?

Inequality is a statement stating two expressions are not equal.

Expectation 1:

21A + 14W > 512

Given A=15 minutes

W=5 minutes

So, 21A + 14W =21*15 +14*5 =370

370<512

So, the robot does not meet Fernando's first expectation.

Expectation 2:

0.36 A + 0.6W < 9

A=15 minutes

W=5 minutes

So, 0.36 A + 0.6W =0.36*15+0.6*5 = 8.4

8.4<9

So, the robot meets Fernando's second expectation.

Hence, the robot does not meet both of Fernando's expectations.

To get more about inequalities visit:

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A person invest $3000 in a bank the bank pays 6.75% interest compounded semi annually to the nearest 10th of a year how long must a person leave the money in the bank until it reaches $6700

Answers

Answer:

It would take 12.1 years.

Step-by-step explanation:

We are given with $3000 invested in bank pays 6.75% interest compounded semi annually to the nearest 10th. We are asked to find the number of years the bank reaches $6700.

Let's use the compound interest formula.

[tex]A= P(1+\frac{r}{n}) ^{nt}[/tex]

We know A=6700

P=3000

r =0.0675

n=2(because compounded semiannually)

t =?( we need to find it)

Plug in the known values into the formula.

[tex]6700=3000(1+\frac{0.0675}{2}) ^{2*t}[/tex]

Simplify and solve for 't'

Divide both sides by 3000

[tex]2.23333= (1.03375)^{2t}[/tex]

Take log on both sides

[tex]log(2.23333) = 2t log(1.03375)[/tex]

Divide both sides by log(1.03375)

24.2067=2t

Divide both sides by 2.

t=12.10...

To round to nearest 10th, we get t=12.1 years.

what is the first step in solving x-4=4

Answers

Answer:

add four to both sides of the equation

Step-by-step explanation:

x=4+4

x=8

Help. 100 more points. 1. Consider the surface area of the following pyramid.

(a) Calculate the total surface area of the pyramid. Show your work.
(b) Calculate the lateral surface area of the pyramid. Show your work.
Answer:


(by the way, a and b are not ANSWERS. if you answer with a or b i will find you and flick your head.)

Answers

Answer:

275 52.2 there you go um im not sure how to help you on the show your work but i hope this helps

Answer: The lateral area of a right pyramid can be calculated by multiplying half of the perimeter of the base by the slant height. This is summarized by the formula: LA 5 Ps. We can relate this formula to the square pyramid below and its net. The side length of the base of the pyramid is b, and the slant height is s.

PLS HELPPPP GRADES DUE!

Answers

Answer:

Step-by-step explanation:

Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2

Answer:

Yea wut she said ._. above me...

Step-by-step explanation:

Jeff took his son to Great Clips to get his hair cut. His hair cut cost $9 with tax
included. Jeff left a 20% tip. How much was his total?

Answers

Answer:

$10.80

Step-by-step explanation:

That’s the answer

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