A particle is moving with the given data. Find the position of the particle. a(t) = t2 − 2t + 9, s(0) = 0, s(1) = 20

Answers

Answer 1

Answer:

Position of the particle is 20.

Step-by-step explanation:

Position function is integration of velocity function.

Velocity function is integration of acceleration function.

So, let's integrate the given a(t) to get v(t)

If we integrate v(t) then we get s(t)

It is given the values of s(0) =0 and s(1)=20

So, position of the particle is difference of 20, 0. That's 20-0 =20.


Related Questions

Plz help me on this

Answers

Answer: Times 4

Step-by-step explanation:

The purple shape is 4 times bigger than the black shape.

If x increases by 7 in each row of a table of values, and the first differences are all equal to 45.5, then the rate of change is:

a) 6.5

b) 455/7

c) 7/455

d) 318.5

Answers

Answer:

b i think

Step-by-step explanation: dont yell just tell me if i got it wrong if i did srry

The rate of change when x increases and the first difference equal to 45.5 is 6.5. Then the correct option is A.

What is the slope?

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope is given as

[tex]\rm Slope = \dfrac{Rise \ or \ fall}{Run}[/tex]

If x increases by 7 in each row of a table of values and the first differences are all equal to 45.5. Then the rate of change will be given by the slope.

[tex]\rm \\Slope = \dfrac{45.5}{7} = 6.5[/tex]

The rate of change is 6.5.

More about the slope link is given below.

https://brainly.com/question/3605446

Convert 29,000 mm2 into cm2

Answers

Answer:

290 cm2

Step-by-step explanation:

Is it A) 5 or C) 1/5?

Answers

Answer:

5

Step-by-step explanation:

How do I express the letters in bracket as the subject of the formula ?

especially the 1/2 power is new and unfamiliar to me. ​

Answers

Answer:

[tex]n = 144m^2 - 1[/tex]

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

Let x be a number. ⇒ [tex]x^{\frac{1}{2}}[/tex] can also be written as [tex]\sqrt{x}[/tex].To make any variable the subject of any formula , we need to isolate it.

__________________________________________________________

According to the question ,

[tex]3m = \frac{(n + 1)^{\frac{1}{2} }}{4}[/tex]

Lets multiply both the sides by 4.

[tex]=> \frac{(n + 1)^{\frac{1}{2} }}{4} \times 4 = 3m \times 4[/tex]

[tex]=> (n + 1)^{\frac{1}{2} } = 12m[/tex]

It can be also written as :-

[tex]=> \sqrt{(n + 1)} = 12m[/tex]

Lets square both the sides.

[tex]=> [\sqrt{(n + 1)} ]^{2} = (12m)^{2}[/tex]

[tex]=> n + 1 =144m^2[/tex]

[tex]=> n = 144m^2 - 1[/tex]

The farmer brought 180 cabbage to the market.
When the day was over, he had 10% less cabbage.
How many cabbage does the farmer have left?

Answers

18 cabbages left because 10% of 180 is 18

Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 2.5%/year compounded monthly. If the future value of the annuity after 10 years is $60,000, what was the size of each payment? (Round your answer to the nearest cent.) $

Answers

Answer:

Monthly payment= $440.71

Step-by-step explanation:

Giving the following information:

Mothly interest rate (i)= 0.025/12= 0.00208

Number of periods (n)= 12*10= 120 months

Future Value (FV)= $60,000

To calculate the monthly payment, we need to use the following formula:

Monthly payment= (FV*i) / [(1+i)^(n) - 1]

Monthly payment= (60,000*0.00208) / [(1.00208^120) - 1]

Monthly payment= $440.71

What is the mean ?

I kinda need help

Answers

Answer:

7

Step-by-step explanation:

To solve the equation below, you would?
X – 70 = 135
A) add 70 to each side
B) subtract 70 from each side
C) multiply each side by 70
D) add 135 to each side

Answers

Step-by-step explanation:

step 1. x - 70 = 135

step 2. x = 205. add 70 to each side

factor the polynomial completely f(x)=x^4-6x^3-8x+48;x-6​

Answers

Answer:

Factor x^3+8x^2+6x+48. x3+8x2+6x+48 x 3 + 8 x 2 + 6 x + 48. Factor out the greatest common factor from each group.

What type of figurative language is this: A very hot desert? Please explain!!

Answers

Answer:

literal

Step-by-step explanation:

If x =3, y = -2 and z = 6, find the value of 7xyz

Answers

Answer:sin

(

330

)

 

csc

(

60

)

cos

(

390)

Step-by-step explanation:

I need the answers for these

Answers

Answer:

x = 2

Step-by-step explanation:

Let's solve your equation step-by-step.

4 ( x − 1 ) = 2 ( 6 − 2 x )

Step 1: Simplify both sides of the equation.

4 ( x − 1 ) = 2 ( 6 − 2 x )

( 4 ) ( x ) + ( 4 ) ( − 1 ) = ( 2 ) ( 6 ) + ( 2 ) ( − 2 x ) (Distribute)

4 x + − 4 = 1 2 + − 4 x

4 x − 4 = − 4 x + 12

Step 2: Add 4 x to both sides.

4 x − 4 + 4 x = − 4 x + 12 + 4 x

8 x − 4 = 12

Step 3: Add 4 to both sides.

8 x −  4 + 4 = 12 + 4

8 x = 16

Step 4: Divide both sides by 8.

8 x / 8 = 16 / 8

x = 2

Is this right?! Trying to finish all of my work

Answers

Answer:

no it the other way around

Step-by-step explanation:

The correct answer would be the last option, D. If you graph it, then reflect it, it will be correct. When it is asking you to reflect over the x axis, you make the y coordinates negative and vise versa!

Hope this helps!

Pls help and hurry i will report if you answer any unnecessary answers.

Answers

Answer:

847.8 sq meters

Step-by-step explanation:

Formula:

A= 2πrh + 2πr^2

A= 2(3.14)(9)(6) + 2(3.14)9^2

A= 339.12 + 508.68

A= 847.8

help me please, brainliested ;)

Answers

Answer:

Literally. can't help. you dude.

Determine whether the polygons are similar.

Not Similar
Similar

Answers

Similar, Please let me know if this helped!!
The are NOT similar

Delaney is saving money in an account that offers 9% simple interest. She deposits 2000 from her grandmother into the account and makes no additional deposits or withdraws. How many years will it take to grow to 4,700

Answers

Answer:

15years

Step-by-step explanation:

Given data

Rate= 9%

Principal= $2000

Final amount= $4700

The simple interest formula is given as

A= P(1+rt)

Substitute

4700=2000(1+0.09*t)

4700= 2000+ 180t

4700-2000= 180t

2700=180t

t= 2700/180

t= 15 years

Hence the time is 15years

For volunteers picked up letter from the park Dominic you collect and 15 for your pieces a litter than Sarah Sarah collect the 12 more pieces in piper piper collected 1/4 as many pieces of litter as Vaughn Vaughn has collected nine more pieces of wood or than everyone else combine the X represent the number of pieces of litter Vaughn Collection

Answers

So many confusing details. So, I rephrase the question as:

Four volunteers picked up litters from the park.

Dominic collect 15 pieces less than Sarah. Sarah collects 12 more pieces than Piper. Piper collected 1/4 as many pieces of letter as Vaughn. Vaughn has collected nine more pieces of letter than everyone else combined. Let x represent the number of pieces of litter in Vaughn's Collection. Find x

Answer:

[tex]x = 72[/tex]

Step-by-step explanation:

Let:

[tex]D = Dominic;\ \ S = Sarah;\ \ P = Piper;\ \ V = Vaughn[/tex]

From the [rephrased] question, we have:

[tex]D = S - 15[/tex]

[tex]S = 12 + P[/tex]

[tex]P = \frac{1}{4}V[/tex]

[tex]V = 9 + D + S + P[/tex]

Substitute [tex]S = 12 + P[/tex] in [tex]D = S - 15[/tex]

[tex]D = 12 + P - 15[/tex]

[tex]D = P+12 - 15[/tex]

[tex]D = P-3[/tex]

Make V the subject in [tex]P = \frac{1}{4}V[/tex]

[tex]V = 4P[/tex]

Substitute: [tex]V = 4P[/tex], [tex]D = P-3[/tex] and [tex]S = 12 + P[/tex] in [tex]V = 9 + D + S + P[/tex]

[tex]4P= 9 + P - 3 + 12 + P +P[/tex]

Collect like terms

[tex]4P - P -P-P= 9 - 3 + 12[/tex]

[tex]P= 18[/tex]

Substitute [tex]P= 18[/tex] in [tex]S = 12 + P[/tex]

[tex]S = 12 +18[/tex]

[tex]S = 30[/tex]

Substitute [tex]S = 30[/tex] in [tex]D = S - 15[/tex]

[tex]D = 30 - 15[/tex]

[tex]D =15[/tex]

Substitute [tex]D =15[/tex], [tex]S = 30[/tex] and [tex]P= 18[/tex] in [tex]V = 9 + D + S + P[/tex]

[tex]V = 9 + 15 + 30 + 18[/tex]

[tex]V = 72[/tex]

x represents the number collected by Vaughan.

So:

[tex]x = 72[/tex]

The table below shows the number of people attending a charity event, x, and the total cost of hosting the event, y. Number of People (x) 2 3 4 5 6 7 Total Cost (y) $2,630 $2,695 $2,760 $2,825 $2,890 $2,955

Which linear function models this situation?
A. y = 2,630x + 65
B. y = 65x + 2,630
C. y = 2,500x + 65
D. y = 65x + 2,500​

Answers

I think it’s D hope that helped

About how much glass is needed to cover a circular window with a diameter of
4.8ft?
A) 4.5ft2
B) 7.5ft2
C) 15ft2
D) 18ft2

Answers

Answer:

it is A) 4.5ft2 is your answer

If ∆MNL ~ RSL, find the value of x​

Answers

Answer:

x = 5

Step-by-step explanation:

NL/ML = SL/RL

(3x - 1)/28 = (x + 7)/24

24(3x - 1) = 28(x + 7)

72x - 24 = 28x + 196

72x - 28x = 196 + 24

44x = 220

x = 220/44

x = 5

Someone please help me find x.

Answers

The picture isn’t clear enough
I think you have to take another picture it’s not clear and people will not be able to answer

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end
of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith
withdraw money from his account? Write your solution as an inequality with x as the variable. Round to the
nearest whole number if necessary

Answers

500$ will be left because

Dakota earned ​$11.25 in interest in Account A and ​$25.00 in interest in Account B after 15 months. If the simple interest rate is ​3% for Account A and 5​% for Account​ B, which account has the greater​ principal? Explain.
Which account has the greater​ principal? Select the correct answer below and fill in the answer boxes to complete your choice.

Answers

Answer:

Step-by-step explanation:

I=Prt

11.25=A(0.03)(15/12)

11.25=A(0.0375)

A=11.25/(0.0375)

A=$300

25=B(0.05)(15/12)

25=B(0.0625)

B=25/(0.0625)

B=$400

So account B has the greater principal.

Write an inequality for each solution set graphed below

please answer a good answer I keep getting rigged answers

Answers

Answer:

0

Step-by-step explanation:

(07.01 LC)
Choose the correct classification of 3x4 - 7x3 + 5x. (2 points)
Sixth degree polynomial
Third degree polynomial
Fourth degree trinomial
First degree binomial

Answers

Forth degree trinomial because we have a number that’s to the exponent of four and we have 3 terms.

Complete the double number to line show percentages of $50

Answers

can you send us a picture of the question please

Help will give brainlist

Answers

Answer:

4

Step-by-step explanation:

Sue has 4lbs 6oz of apples. Her younger brothers ate some and now she has 2lbs and 10oz how many lbs and oz of apples did they eat

Answers

Answer: 1 lbs 12 oz

Step-by-step explanation:

First and foremost, we should note that 16 ounces = 1 pound

Sue has 4lbs 6oz of apples. This in ounces will be:

= (4 × 16) + 6

= 64 + 6

= 70 ounces

Her younger brothers ate some and now she has 2lbs and 10oz. The ounces of apples left will be:

= (2 × 16) + 10

= 32 + 10

= 42 ounces

Therefore, the amount they ate will be:

= 70 ounces - 42 ounces

= 28 ounces

Since 16 ounces = 1 pounds

= 1 pounds 12 ounces

= 1 lbs 12 oz

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