at time t, the position of a body moving along the s-axis is s=t^3 - 12t^2 + 36t m. Find the total distance traveled by the body from t=0 to t=3.

Answers

Answer 1

Answer:

27 m

Step-by-step explanation:

The position of a body is given by :

[tex]s=t^3 - 12t^2 + 36t[/tex]

We need to find the total distance traveled by the body from t=0 to t=3.

At t = 0,

[tex]s=0^3 - 12(0)^2 + 36(0)=0\ m[/tex]

At t = 3 s,

[tex]s=(3)^3 - 12(3)^2 + 36(3)\\\\=27\ m[/tex]

So, the total distance from t=0 to t=3 is equal to 27 m.


Related Questions

find the product
X5.X4.X3 ​

Answers

Answer:

= X¹²

Step-by-step explanation:

According to law of indices

a^m * a^n = a^{m+n}

Hence;

X5.X4.X3 ​

= X⁵⁺⁴⁺³

= X¹²

Note that all the powers are added since it is multiplication

Type the correct answer in each box. Use numerals instead of words.
Consider function h.
What are the values of the function when x= 0 and when x=4
h(0)=
h(4)=

Answers

Answer:

10 16

Step-by-step explanation:

when x= 0 h(x)=2x²-3x+10

⇒ h(0)=2*0²-3*0+10=10

when x= 4 h(x)=[tex]2^{x}[/tex]

⇒ h(4)=[tex]2^{4}[/tex]=16

The value of the given piecewise function at [tex]x=0[/tex] is [tex]h(0)=10[/tex] and the value of the function at [tex]x=4[/tex] is [tex]h(4)=16[/tex].

Important information:

The given piecewise function is:

         [tex]h(x)=\begin{cases}3x-4, &x < 0 \\ 2x^2-3x+10, &0\leq x < 4 \\ 2^x, & x\geq 4\end{cases}[/tex]

Piecewise Function:

The function for [tex]x=0[/tex] is [tex]h(x)=2x^2-3x+10[/tex].

[tex]h(0)=2(0)^2-3(0)+10[/tex]

[tex]h(0)=10[/tex]

The function for [tex]x=4[/tex] is [tex]h(x)=2^x[/tex].

[tex]h(4)=2^4[/tex]

[tex]h(4)=16[/tex]

Therefore, the required values of the piecewise function are [tex]h(0)=10[/tex] and [tex]h(4)=16[/tex].

Find out more about 'Piecewise Function' here:

https://brainly.com/question/17966003

Use the factor tree to find the prime factorization of 100.
What is the prime factorization of 100?
2 x 5
2 x 2 x 5 x 5
2 x 5 x 10
10 x 10

Answers

Answer:

2 * 2 * 5 * 5

Step-by-step explanation:

100 = 2 * 50

       = 2 * 2 * 25

       = 2 * 2 * 5 * 5

What is y in this equation

Answers

Answer:

y = 88

Step-by-step explanation:

y + 53 + 39 = 180

y + 92 = 180

y = 88

Y = 88
Explanation/ none

PLEASE HELP- VKLFNJOF:L

Answers

Answer:

−4m + 10

Step-by-step explanation:

Combine Like Terms:

= 6m + 10 + −10m

= (6m+−10m) + (10)

= −4m + 10

Hope it helped.

Subtract 10m from 6m.
Answer:
−4m + 10
Hope this helps, have a good one ^,^

Can someone help me please?

Answers

Answer:

I love pizza math  :P

Step-by-step explanation:

column 1           column 2

2/3                          2/5

1/4                           3/4

1/3                           4/5

1/2                           1/6

Is it time for pizza now?  :P

Which statement is true?

Answers

Answer:

[tex] (\sqrt[m]{ {x}^{a} } ) ^{b } = \sqrt[m]{ {x}^{ab} } [/tex]

jasonran 4 miles in 30 minutes which of the following is an equivalent rate of running

Answers

Answer:

10 miles in 75 minutes

Step-by-step explanation:

53 POINTS!!!!!!!!!!!!!

Answers

Y=1/3x-9 that’s the answer
X=36
y=45
I don’t know which way you want me to slice this problem

Write the equation for the line that passes through the points (3, 18) and (-3,0)

Answers

y= 3x + 9 hope this helpsssssssss

Linda is making a line plot of the data below. 11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12 Which line plot represents the data correctly?

( PLEASE HELP!!) ASAP
I'LL GIVE 70 POINTS IF CORRECT!!

Answers

Answer:

The line plot which has plots at the points 11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12 and a slope-line which goes roughly through the middle/mean of the points.

Step-by-step explanation:

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Hello!

We are given that lines A and B are parallel lines cut by a transversal, and we are comparing the angles of 7 and 2.

We can see immediately that they are alternate exterior angles, because they are on opposite sides of the transversal, and they are on the exterior of the two parallel lines being cut.

According to the Alternate Exterior Angle Theorem, when two parallel lines are cut by a transversal, the resulting exterior angles are congruent, meaning that they are of the same angle measure.

So when it is given that the measure of Angle 7 is 115 degrees, we can conclude that the measure of Angle 2 is 115 degrees as well.

Hope this helps!

if i have 2 pans of brownies and i give away 1 5/6. How many browniea do i have left? in a fraction?

Answers

Answer: Multiply

2 * 1 5/6

Convert 1 5/6 into an improper fraction:

2 * 11/5

Multiply:

22/5

Convert to mixed number:

4 2/5

So 22/5 or 4 2/5 of a pan of brownies was left.

Answer:

1/5

Step-by-step explanation:

help me please i will give you brainliest

Answers

Answer:

its b!

please brainliest

What is Landscape evolution theory

Answers

Answer:

Landscape evolution theories indicate that the topography inherently records the interaction between climatic, tectonic, and surface processes. Consequently, geological and topographic information can be used to assess erosion and topographic evolution.

Step-by-step explanation:

hopes this helps

have a good day :)

URGENT HELP Graph f(x) = 3|x - 5| + 1 (please put picture of the answer graphed)

Answers

Answer:

Step-by-step explanation:

I uploaded a picture of the graph, but you can go to the site, Desmos. Just plug in your equation, and you will get the equation graphed.

An airplane is flying from New York to Los Angeles.

Answers

Answer:

yes in what can I help you

If you flip a coin 92 times, what is the best prediction possible for the number of times it will land on tails?

Answers

Answer:

Hence, the probability of a head on Flip 1 and a head on Flip 2 is the product of P(H) and P(H), which is 1/2 x 1/2 = 1/4. The same calculation applies to the probability of a head on Flip 1 and a tail on Flip 2. Each is 1/2 x 1/2 = 1/4.

Step-by-step explanation:

Answer:

1/4 of 92 = 23 Hope this helps

5th grade math. correct answer will be marked brainliest

Answers

Answer: C and for the bottom is 3*3/8=9/8=1 1/8

Step-by-step explanation: hoped this helped :)

85% of x is 51. Write an equation that represents the situation.

Answers

Answer:

85/100*x=51

Step-by-step explanation:

85x=5100

There are 20 pieces of fruit in a bowl and 5 of them are apples. What percent of the fruit are apples?

Answers

Answer:  25%

Step-by-step explanation:

Total pieces=20

apple pieces=5

 =apple pieces/total pieces

=  5/20

for %age multipilying with 100

= 0.25×100

=25 percent

Can someone please help me with this problem?

Answers

Answer:

1120 cm^3

Step-by-step explanation:

Volume of the ice cube = B * h

B = 20 cm^2

h = 4 cm

Volume = 20 * 4 = 80 cm^3

This volume is for one cube holder in the tray.

There are  7 * 2 such holders

There are 14 holders

Total volume of the holders =

14 * 80 =

1120 cubic cm

Find the percent of change from 32 feet to 79 feet. Round to the nearest tenth, if necessary. Then state whether the percent of change is percent of increase or percent of decrease.

Answers

Answer:

71 1/4%

Step-by-step explanation:

I think the change is percentage increase. the method of finding percentage iincrease is increase over percentage increase x 100%

Pls answer just the answer

Answers

Answer:

588000

Step-by-step explanation:

if i am wrong pls tell me cause i think there's a different answer gl g

Answer:

$103,421.88

Step-by-step explanation:

Given:

P = 70000

r = 0.05

n = 1

t = 8

Work:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=70000(1+\frac{0.05}{1} )^{1*8}\\\\A=70000(1.05)^8\\\\A=103421.88[/tex]

Use the diagram to complete the statements.
The measure of minor arc EF i
The measure of angle DAB is
35.5
.5
71
109

Answers

Answer:

EF is 109

DAB is 54.5

Step-by-step explanation:

Applying the central angle theorem, the correct statement would be:

Measure of minor arc EF = 109°Measure of angle DAB = 54.5°

What is the Central Angle Theorems?

The central angle theorem states that:

Measure of intercepted arc = 1/2(measure of inscribed angle)Measure of central angle = measure of intercepted arc

Thus:

Measure of minor arc EF = m∠ECF = 109°

m∠DAB = 1/2(109°) [m∠ECF = m∠BAD = 109°]

m∠DAB = 54.5°

Therefore, applying the central angle theorem, the correct statement would be:

Measure of minor arc EF = 109°Measure of angle DAB = 54.5°

Learn more about central angle theorem on:

https://brainly.com/question/5436956

Find l.
10 in.
l
l = [?] ir
1
1
6 in.

Answers

Answer:

[tex]l=\sqrt{109}[/tex] in

Step-by-step explanation:

[tex]l^{2} =r^{2} +h^{2} \\\\l^{2} =3^{2} +10^{2} \\\\=90+100\\\\l^{2} =109\\\\l=\sqrt{109}[/tex]

hope it helps....

In the figure below, what is the measure of _x?
30
х
O A. 70°
OB. 300
o C. 60°
D. 90°

Answers

Answer:

50

Step-by-step explanation:

The sum of angle on a straight line is 180degres, hence;

X+3+x+20+x+7 = 180

3x+30=180

3x=180-30

3x = 150

X = 150/3

x = 50

Hence the value of x is 50

please answer asap! no scam links or scam comments or reported.

Answers

Answer:

d) 2

because all the figures +2

Does anyone know what the answer?

Answers

Answer:

x = 7

Step-by-step explanation:

Hi,

7x - 7 = 4x + 14

3x - 7 = 14

3x = 21

x = 7

I hope this helps :)

Robert bought some plants for his garden. Each plant costs $3.75.
If he spent a total of $52.50, how many plants did he buy?
Show your thinking.

Answers

He bought 14 plants
$52.50 divided by 3.75 equals 14 plants
14 x 3.75= 52.5
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