6. A particle is moving on a straight line such that a(t) = cost, s(0) = 0, v(0) = 5.
Find the position s(t) of the particle.

Answers

Answer 1

Step-by-step explanation:

St3-623t+4St3-623t+4V=St3-623t+4V=dsSt3-623t+4V=dsdtSt3-623t+4V=dsdtSo 3t²12 + 3 = vSt3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0t=2sSt3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0t=2sv=3(2)² - 12 x 2+3=-9ms-1

Related Questions

Subtract (5u + 6v) from (8u + 10v)

Answers

Answer:

-3u-4v

Step-by-step explanation:

5u+6v-(8u+10v)

=5u+6v+-1(8u+10v)

=5u+6v+-1(8u)+-1(10v)

=5u+6v+-8u+-10v

(combine like terms)

=5u+6v+-8u+-10v

=(5u+-8u)+(6v+-10v)

=-3u-4v

hope this helps

can you mark me brainliest pls

The value of the subtraction will be equal to -3u-4v.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the two expressions are (5u + 6v) and (8u + 10v). The subtraction will be calculated as,

5u+6v-(8u+10v)

S =5u+6v+-1(8u+10v)

S =5u+6v+-1(8u)+-1(10v)

S =5u+6v+-8u+-10v

(combine like terms)

S =5u+6v+-8u+-10v

S =(5u+-8u)+(6v+-10v)

S =-3u-4v

Therefore, the value of the subtraction will be equal to -3u-4v.

To know more about an expression follow

https://brainly.com/question/25207082

#SPJ2

characteristics of 0.00753​

Answers

Answer:

7.5 is the answer. You have to move the decimal 2 places to the right.

Step-by-step explanation:

otherwise i.d.k

Translate algebraic words to symbols.
The quotient of x and y
A. Xy
B. X+y
C. X-y
D. xly

Answers

Answer:

d.) x/y

Step-by-step explanation:

quotient means to divide and d shows x & y getting divided


Solve the system using
substitution
Y = 2X – 1
4x + 3y = 7

Answers

Answer:

1,1

Step-by-step explanation:

See steps below:) I could only show half of the steps. but you can use the app photo math. It will show you all the steps.

Hot chocolate or Apple cider
Blanket or slippers
Car or job
Cell phone or tablet
Job or college
School or fun
Day party or pool party
Birthday party or cook out
Wendys or McDonald's
In-n-Out or cook out
Wawa or sheets

Answers

apple cider

blanket

job

cell phone

job

fun

pool party

birthday party

McDonald's

cook out

N/A

x + 23
5x + 13
please help

Answers

Answer:

x = 2.5 or 5/2.

Step-by-step explanation:

They're congruent angle, so set them equal to each other

5x + 13 = x + 23

Solve for x:

4x = 10

x = 10/4 = 5/2 = 2.5

4. A mysterious card playing squirrel offers you the opportunity to join in
his game. The rules are:
To play you must pay him $2.
• If you pick a spade from a shuffled pack, you win $9
Find the expected value you win (or lose) per game.
.

Answers

Answer:

is there a picture along with this??

Which rule can be used to find the output numbers in this table?

No links please.

Answers

The answer is C
Multiply the input number by 9

In ΔHIJ,
m

H
=
(
4
x
+
1
)

m∠H=(4x+1)

,
m

I
=
(
2
x

6
)

m∠I=(2x−6)

, and
m

J
=
(
6
x

7
)

m∠J=(6x−7)

. Find
m

J
.
m∠J.

Answers

Answer:

89 degrees

Step-by-step explanation:

Since these angles make up a triangle, we know that the total of these angles will make 180 degrees. So, we need to set the equations up appropriately, and solve for x:

[tex]180=(4x+1)+(2x-6)+(6x-7)\\180=12x-12\\192=12x\\x=16\\[/tex]

Then, you plug 16 back into the equation for angle J, and simplify:

[tex](6(16)-7)\\(96-7)\\(89)[/tex]

Therefore, the answer is 89 degrees.

Plz help I will mark brainliest plz

Answers

Answer:

The equation is [tex](x - 2)^2 + (y + 7)^2 = 9[/tex]

Step-by-step explanation:

Find the lateral area of the following
cone. Leave your answer in terms of .
12 cm
5 cm
LA = [ ? ]7 cm2

Answers

The lateral surface area of the cone will be 65π square cm.

What is the lateral surface area of a cone?

Let d be the diameter of the base circle, l be the slant height, and h be the height of the cone.

Then the lateral surface area of the cone will be

LSA = πrl

Then the slant height is given as

l² = r² + h²

l² = 5² + 12²

l² = 25 + 144

l² = 169

 l = 13 cm

Then the lateral surface area will be

LSA = π × 5 × 13

LSA = 65π cm²

More about the lateral surface area of a cone link is given below.

https://brainly.com/question/27492847

#SPJ2

This stem-and-leaf plot represents the ages of people watching a music concert.

How many people are at least 30 years old?

Answers

Answer:

4

Step-by-step explanation:

stem is the first number so it would just be all the numbers in the stem 3.

¿Qué es la condición física?
A) Conjunto de capacidades físicas, que se pueden mejorar mediante el entrenamiento.
B) Salud y ejercicio.
C) Fuerza, resistencia, velocidad y flexibilidad.

Answers

Answer:

A

Step-by-step explanation:

The perimeter of a rectangle is 35.6 feet. The length of the rectangle is 12 feet.
What is the width of the rectangle? *
1. 5.8 feet
2. 23.8 feet
3. 11.8 feet
4. 23.6 feet
.

Answers

Answer:

The length is 2.4 1.2 times 2 to take away the both width sides minutes 2.4 from 7.2 you get 4.8 then divide by two because it’s a rectangle it has to length side and you get 2.4

so that is number 3

Step-by-step explanation:

Anybody know the answer to this? I’ve been having a hard time

Answers

Answer: 2.39 inches (rounded)

Step-by-step explanation:

1.) Divide circumference (15) by 3.14 to get the diameter (~4.78, or 4.77707006...)

2.) Divide diameter by 2 for the radius (~2.39, or 2.38853503...)

A monarch butterfly averages about 50 miles per day on its migration to Mexico.
a. Complete the ratio table to show rates that are equivalent to 50 miles per day.
Time (days)
1
1
N
4
8
Distance (miles) 50

Answers

Answer:

1,50 2,100 4,150 8,400

Step-by-step explanation:

multiply each number by the time (days)

Answer:1,50 2,100 4,200 8,400

Step-by-step explanation:

If 1=50 then 2=100 just repeat that easy

Someone help me out with this my grade are bad

Answers

Answer:

2 units tall by 1 unit wide

Step-by-step explanation:

On the given rectangle it tell you the conversion to m is 1 unit = 2 m.

The new figure that needs to be drawn has a conversion of 1 unit = 8m.

So, the fist thing we need to do is calculate the m on the width at the height of the original, which is 16 by 8.

looking at this we can now convert this measurement into our new conversion of 1 unit = 8 m. We can do this by dividing the height and width separately.

Ex:

Since 16 is divided by 8 two times so that gives us the answer of 2 units.

8 is divisible by 8 one time so that gives us the width of 1 unit

if this is confusing just think of it like: x=[tex]\frac{16}{8}[/tex] for the height or x = [tex]\frac{8}{8}[/tex] for the width.

evauate the problem 5y=30

Answers

Answer:

y = 6

Step-by-step explanation:

5y = 30

5y ÷ 5 = 30 ÷ 5

y = 6

Y=6
5x6=30

Hope this helped

On a number line 8.63 would be located... choose all answers that make the statement true

A) to the right of 8.66
B) between 8 and 9
C) between 8.62 and 8.64
D) to the left of 8.61

Answers

Answer:

b and c

Step-by-step explanation:

because they are correct

please help me its 3 am and i am so tired that i have no energy left and im seriously trying to get done with 8 assignments and then i have to get ready for work by 6, thank you so much <3 NO LINKS OR FILES OR I WILL REPORT

Answers

Answer:

4 (2x + 3)^2 this is the answer I guess

Answer:

try 6

Step-by-step explanation:

Anyoneee pls I need help

Answers

Answer:

3

Step-by-step explanation:

As in the first set of numbers

4,5,2 are successes.

but in the next set of numbers

5 is right before a fail.

but then straight passes after that

ASAP

- How did you get the answer
- Will mark brianist

Answers

Answer:

c

Step-by-step explanation:

all companys are under 300k and applys to all 5

A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200. If the teacher had used a 90% confidence interval rather than a 98% confidence interval, what would happen to the width of the interval

Answers

Answer:

The answer is "It would decrease, but not necessarily by 8%".

Step-by-step explanation:

They know that width of the confidence level is proportional to a confidence level. As just a result, reducing the confidence level decreases the width of a normal distribution, but not with the amount of variance in the confidence level. As just a result, when a person teaches a 90% standard deviation rather than a 98 percent normal distribution, the width of the duration narrows.

ASAP!! HELP ME PLS
Don’t put your fake files here

Answers

D!
It includes the area of all sides.

Pls help i really need it rn-

Answers

This is just what I think, it might not be right- the first one is (-2, 4), the second one is (-5, 1), the third one is (-2, -2), and the fourth one is (1, 1).

(Sorry if it's wrong-)

Camden needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio. The studio charges $50 per hour of use and the total cost charged for 5 hours is $700. Write an equation for the function P ( t ) , P(t), representing the amount of money Camden would have to pay to use the studio for t t hours.

Answers

Answer: [tex]P(t)=450+50t[/tex]

Step-by-step explanation:

Given

Studio charge $50 per hour and fixed charge for initial use

For 5 hours, it charges $700

Suppose x is the fixed charge

[tex]\therefore 700=x+50\times 5\\\Rightarrow x=700-250\\\Rightarrow x=\$450[/tex]

For t hours, studio charges

[tex]\Rightarrow P(t)=450+50t[/tex]

If 2/3x - 1 = 4, then x =

Answers

Answer:

7.5

Step-by-step explanation:

2/3 x 7.5 = 5

5 - 1 = 4

PLEASE HELP ASAP!!!!
Complete the following chart. Describe the graph of each parabola relative to the graph
of y = x2. Indicate the number of units, where applicable. Sketch each graph.

Answers

Answer:

where is the graph lol

Step-by-step explanation:

need a graph

The more frequently heroin is used, the greater the risk of permanent damage of addiction or dependence.


True

False

Answers

Answer...... True

Explanation:
heroin is a addictive substance and the more you take it the greater risk of developing short and long term effects
True because the effects are long term with heroin

Can someone plz help me with this one problem plz!!!

Answers

answer is d or c because when u find Mean u add all numbers the. divide and median is middle number

Step-by-step explanation:

mean us 7.5 median is 6 asssss

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