Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position.
a(t) = -24; v(0) = 17, s(0) = 0
s(t) =

Answers

Answer 1

Answer:

Position function is [tex]s(t)=-12t^2[/tex]

Step-by-step explanation:

Given [tex]a(t)=-24[/tex], since velocity is the antiderivative of acceleration, then [tex]v(t)=-24t[/tex].

Also, since position is the antiderivative of velocity, then [tex]s(t)=-12t^2[/tex].


Related Questions

Can someone please explain this problem to me? i would really really REALLY appreciate it omg

Answers

Answer:

f(0) = 3

f(-2) = -15

Step-by-step explanation:

You just have to plug in the value in f(b) into the b of the equation.

So for f(0) --> 2(0)^3 - |0-4| + 7

2(0) - |-4| + 7

0 - 4 + 7 = 3

------------

for f(-2)

2(-2)^3 -|-2-4| + 7

2(-8) - 6 + 7

-16 -6 + 7 = -15

= Homework: Mo...
Ben bowled 122 and 188 in his first two games. What must he bowl in his third game to have an average of at least 160?
HOM

Answers

Answer:

i think its 195 but i am not for sure correct me if i am wrong

Step-by-step explanation:

it would 170
if you want to find the average of something you want to add up all the numbers and then divide that number by the amount of number there is
so for this i did (122+188+170)/3 which equals 160

Acellus. please help me

Answers

by-step explaAnswer:

by-step epla

Step-nation:

a

Evaluate g(10) of g(x) =1/2x -4

Answers

Answer:

g(x)= 1

Step-by-step explanation:

[tex]g(x) = \frac{1}{2} x - 4 \\g(10) = \frac{1}{2} (10) = 5 \\ 5 - 4 = 1[/tex]

Please look for the question in the picture.

Answers

Answer:

I beleive the missing value is -3

Step-by-step explanation:

if you plug -3 into the pink box it will give you the result of -5

(anyone is free to correct me)

4
Select the correct answer.
What is a unit rate?
OA.
a rate with one in the numerator
OB.
a rate in which the numerator and the denominator are equal
Ос.
a rate with one in the denominator
OD
a rate in which the denominator is greater than the numerator

Answers

Answer:

C. A rate with one (1) in the denominator

A unit rate is basically a ratio of something to one.

example:

if 10 bananas costs ten dollars then one banana would cost one dollar.

Step-by-step explanation:

Answer:

A.  A rate with one in the numerator

Step-by-step explanation:

We can find the unit rate when given a rate by dividing the unit in the numerator by the quantity in the denominator. For example, if we are given the rate $4.50/5 gallons of milk, we can divide 4.50 by 5 to find the unit price, which is dollars per one gallon of milk. A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

The age melat five times older than the age of hana.In ten years time the ratio of the age of hana to melat is 5:9. find the present age of hana and melat?

Answers

Answer:

carbon take x(1)+4(-2)=0

x(1)-8=0

x(1)=8

x=8

PLEASE HELP ME!!!!!!​

Answers

B or D so sorry these ones are confusing written like this.

Gave a lovely weekend.

Please help ASAP!!! Will give 10 pts!!​

Answers

A. Mixed
B. Proper
C. Mixed
D. Proper
E. Improper
F. Improper
G. Improper
H. Mixed
I. Improper
J. Improper
K. Mixed
L. Mixed
M. Proper
N. Proper
O. Mixed

Find the quotient: 7,308 divided by 18. A) 46 B) 406 C) 406 10/18. D) 408

Answers

Answer:

7308 / 18

= 406

B is the answer.

PLEASE HELP ASAP mark brainlist

Answers

Answer:

whats the question, tell me it and i'll help you

Step-by-step explanation:

Domain and Range from this functions

F(x)= (1/4x-1)^3 +2

Answers

Answer:

Domain:(−∞,2)∪(2,∞),{x|x≠2}

Range:(−∞,0)∪(0,∞),{y|y≠0}

f(x) = 3x + 12, g(x) = 3x - 1;
=
=
Find (fºg)(x).

Answers

[tex]\text{Given that,}\\\\f(x) = 3x +12, ~ ~ g(x) = 3x -1\\\\(f \circ g)(x)\\\\=f(g(x))\\\\=f(3x-1)\\\\=3(3x-1) +12\\\\=9x - 3 +12\\\\=9x +9\\\\=9(x+1)[/tex]

Which fractions are equivalent to the fraction below? Check all that apply.
5/7

Answers

Answer:

A. 10/14

and

C. 15/21

Step-by-step explanation:

A. 10/14

and

C. 15/21

-8 = m/3 + 2

Solve the equation.
m=?
Please explain using 2-step version

Answers

-8 = m/3 + 2

Subtract 2 from both sides

-10 = m/3

Multiply both sides by 3

M = -30

Answer:

[tex]m=-30[/tex]

Step-by-step explanation:

[tex]-8=\frac{m}{3}+2[/tex] <-- Given equation

[tex]3(-8)=3(\frac{m}{3}+2)[/tex] <-- Step 1: Multiply both sides by 3 to eliminate the fraction

[tex]-24=m+6[/tex]

[tex]-24-6=m+6-6[/tex] <-- Step 2: Subtract both sides by 6 to isolate "m"

[tex]-30=m[/tex] <-- Final Solution

I need help with this math problem please... 6x+2 if x=3

Answers

Answer:

20 is answer, hope it helps ypi

Answer:

20

Explanation:
6x + 2 if x = 3
6(3)+2
18+2 =20

You only have to substitute x

Hope this helps!

In circle L with mZKLM 74 and KL = 10 units, find the length of arc KM.
Round to the nearest hundredth.

Answers

Step-by-step explanation:

happy to you are you happy

A circle has a radius of 2/2 units and a center at (-5, 1). Which point is located on the circle?
(-3,1)
(-3,2)
(-3,3)
(-3,4)

Answers

Answer:

(-3,1)

Step-by-step explanation:

2/2 x (-5,1)

Then the circle is (-3,1)

4/7 + (-6/7) Find the sum. Write fractions in simplest form.

Answers

Answer:

i dont know sorry do u know

Which angle is this could u plz tell​

Answers

Step-by-step explanation:

please, this is so easy !

so, please, burn this into your brain forever : the sum of all angles in a triangle is always (really, always) 180°.

so,

180 = 25 + 100 + A

A = 55°

ΔABC has: ∠CAB + ∠ABC + ∠ACB = 180°

so:  ∠CAB = 180° - ∠ABC - ∠ACB = 180° - 100° - 25° = 55°

ANSWER: ∠CAB = 55°

ok done. Thank to me :>

(a) The perimeter of a rectangular field is 276 m.
If the length of the field is 75 m, what is its width?
Width of the field: 1 m
(b) The area of a rectangular painting is 8712 cm?
If the width of the painting is 88 cm, what is its length?
Length of the painting: 1 cm

Answers

Answer:

(a) 63               (b) 99

Step-by-step explanation:

(a)

length x 2 = 150

275-150=126/2= 63

(b)

8712/88= 99

I don’t understand this please help

Answers

Answer:

i think BC = 8.5

Step-by-step explanation:

19-(2+6.5+2)

19-10.5

8.5

What is 7C3? Thanks.

Answers

Answer:

C7,3=7!( 3!)( 7−3)!= 7! I think tell me if I'm wrong?

Answer:

7C3 = 7! / (7 - 3)! 3! = 7 x 6 x 5 x 4! / 4!

Write the following phrases as ratios in lowest terms. 1) 3 out of 8 balloons, 2) 5 losses to 7 wins,3) 4 girls to 5 boys,4) 6 books for every 18 students, 5) 2 cars to 3 trucks,6) 11 out of 18 games​

Answers

Answer:

1) 3:8

2)5:7

3)4:5

4)1:3

5)2:3

6)11:18

If a square has a side of 4', what would the area be?
A= s2=sxs
A= 42= 4'x4
A= 16 sq. ft.

Answers

Answer:

16 sqft.

Step-by-step explanation:

A=L(W)

A=4(4)

A=16

Hope that helps

Can anyone please help? im running out of time and im so confused.

Answers

Answer:

x=8

Step-by-step explanation:

x+x+5=x+x+x-3

2x+5=3x-3

Subtract 2x from both sides.

5=x-3

Add 3 to both sides.

8=x

-hope it helps

TRANSLATE THIS SENTENCE INTO AN EQUATION FOR BRAINLIEST!!!

Answers

Answer:

d x 7 = 105

Step-by-step explanation:

Solve the system of equations using the substitution method.
S 4x + 5y=7
ly=3x +9
Enter your answers in the boxes.
2
X=
y=

Answers

Answer:

x = -2.

y = 3.

Step-by-step explanation:

If y = 3x + 9

Substitute this value for y in the first equation.

4x + 5(3x + 9) = 7

4x + 15x + 45 = 7

19x = 7 - 45

19x = -38

x = -38/19

x = -2.

with this value of x, substitute -2 in the second equation

y = 3(-2) + 9

y = -6+9

y = 3.

check if your values are all correct

4(-2) + 5(3) = 7

-8 + 15 = 15 - 8 = 7

Correct!

One factor of the function f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5) Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technologyShow your work and include all intercepts in your answer.

Answers

Answer:

x-intercept(s):  (−1.9900717,  0)

y-intercept(s): (0, 52.5)

Step-by-step explanation:

To find the x-intercept, substitute in  [tex]0[/tex]  for  [tex]y[/tex]  and solve for  [tex]x[/tex]. To find the y-intercept, substitute in  [tex]0[/tex] for [tex]x[/tex] and solve for [tex]y[/tex] .

[tex]f(x)=y[/tex]

[tex](x)=x[/tex]

x-intercept

To find the x-intercept(s), substitute in  [tex]0[/tex]  for  [tex]y[/tex]  and solve for  [tex]x[/tex] .

[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]

[tex]=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)[/tex]

[tex]=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10[/tex]

[tex]=0=10x^3-80x^2+170x-105\left(x-5\right)[/tex]

[tex]=0=10x^3-80x^2+65x+525[/tex]

[tex]=10x^3-80x^2+65x+525=0[/tex]

[tex]=10x^2-99.90071\dots x+263.80959\dots \approx \:0[/tex]

[tex]\bold{x\approx \:-1.99007\dots}[/tex]

y-intercept

[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]

[tex]=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)[/tex]

[tex]=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)[/tex]

[tex]=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)[/tex]

[tex]=y=0-0+0-\left(-52.5\right)[/tex]

[tex]=0-0+0+52.5[/tex]

[tex]\bold{y=52.5}[/tex]

Choose the symbol that correctly compares the fractions below.

Answers

Answer:

[tex] \frac{1}{8} < \frac{2}{7} [/tex]

1/8 < 2/7

Answer: B

#CarryOnLearning

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