a particle moves along the x-axis so that anytime t comma measured in seconds it's position is given by...​

A Particle Moves Along The X-axis So That Anytime T Comma Measured In Seconds It's Position Is Given

Answers

Answer 1

Given the position function s(t), you can get the acceleration function by differentiating s twice:

velocity = s'(t) = -5 sin(t ) + 3 cos(3t )

acceleration = s''(t) = -5 cos(t ) - 9 sin(3t )

Then when t = π, the particle's acceleration is

s''(π) = -5 cos(π) - 9 sin(3π)

… = -5 • (-1) - 9 • 0 = 5


Related Questions

The number of penguins in Antarctica decreased by 30% between last year and this year. Last year there were 650 penguins. What is the population this year?

Answers

9514 1404 393

Answer:

  455

Step-by-step explanation:

The decrease was 30% of 650, or ...

  0.30 · 650 = 195

So, the population this year is ...

  650 -195 = 455

Answer:

455 Penguins

Step-by-step explanation:

1.) 650 x 0.30 = 195

2.) 650 - 195 = 455

Final answer: 455 Penguins

Hope this helped!

Bailey brought a twin pack of gum for $2, this is 50 cents less than 2/3 the
cost of a triple pack of gum. What is the price of a triple pack of gum?

Let x represent a twin pack of gum

Let y represent a triple pack of gum

Answers

Answer:

$3.75

Step-by-step explanation:

2/3 = $2.50

2.50/2 = 1.25

1.25x3 = 3.75

The price of the triple pack of gum is $3.75.

Calculation of the price:

Since Bailey brought a twin pack of gum for $2, this is 50 cents less than 2/3 the cost of a triple pack of gum.

So,

[tex]2\div 3 = \$2.50\\\\2.50\div 2 = 1.25\\\\1.25\times 3 = 3.75[/tex]

Learn more about price here: https://brainly.com/question/10132345

PLEASE HELP, 30 points AND brainliest if I get an explanation :)


Find the values of the ratios (red to blue) of the perimeters and areas of the similar figures. Write the ratios as fractions in simplest form.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

BLUE PENTAGON

The blue shape represents the Pentagon

The length of the side a = 7

As there are 5 sides.

Thus,

The Perimeter of the Blue Pentagon = P = 5a = 5(7) = 35

Using the formula to determine the area of the Pentagon

 [tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:[/tex]

[tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(7\right)^2\:\:\:\:\:\:[/tex]

[tex]A\approx 84.3\:\:\:[/tex]

Thus,

The Area of the Blue Pentagon = [tex]A\approx 84.3\:\:\:[/tex]

RED PENTAGON

The red shape represents the Pentagon

The length of the side a = 4

As there are 5 sides.

Thus,

The Perimeter of the Red Pentagon = P = 5a = 5(4) = 20

Using the formula to determine the area of the Pentagon

 [tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:[/tex]

[tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(4\right)^2\:\:\:\:\:\:[/tex]

[tex]\:A\approx 27.5[/tex]

The Area of the Red Pentagon = [tex]\:A\approx 27.5[/tex]

Conclusion:

The Perimeter of the Blue Pentagon =  35

The Perimeter of the Red Pentagon = 20

Thus, the ratio of the perimeter is: 35/20 = 7/4

The Area of the Blue Pentagon =  84.3 = 843/10

The Area of the Red Pentagon = 27.5 = 275/10

Thus, the ratio of the Area is:

 [tex]\frac{\frac{843}{10}}{\frac{275}{10}}=\frac{843}{275}[/tex]

What is the solution to the equation 2(4-3x)+5(2x-3) = 20-5x9
Ox=-13
O x=
Ox=2
Ox=3
13

Answers

Ox=3is the answer to this question

The solution of the equation 2(4-3x)+5(2x-3) = 20-5x+9 is 3.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 2(4-3x)+5(2x-3) = 20-5x+9

x is the variable in the equation.

Plus and minus are the operators

Apply distributive property.

8-12x+10x-15=20-5x+9

Take the variable terms on one side and constants on other side

5x-12x+10x=20-8-15+9

3x=6

Divide both sides by 3

x=2

Hence, the solution of the equation 2(4-3x)+5(2x-3) = 20-5x+9 is 3.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

Maria is making paper flowers as decorations for the fall dance. She has made 40 flowers so far, and she is 16% finished. If she plans to finish making 70% of the total flowers needed by tonight, how many more will she need by then? Please answer soon its due 11:59 tonight!!

Answers

Answer:

the number of additional she needed is 135

Step-by-step explanation:

The computation is shown below:

GIven that

40 flowers of 16%

So for 100% it would be

= 40 ×100 ÷ 16

= 250

Now she needs to make is

= 70% - 16%

= 54%

Now the additional would be

= 250 × 54%

= 135

Hence, the number of additional she needed is 135

A stuffy normally costs $12, but this week it is on sale for $9. What is the Percent of Change on the stuffy?

Answers

Answer: 25%

Step-by-step explanation:

From the question, we are told that a stuffy normally costs $12, but that this week it is on sale for $9.

The Percent of Change on the stuffy will be calculated as:

= Change / Normal cost × 100

= (12 -9) / 12 × 100

= 3/12 × 100

= 1/4 × 100

= 25%


HELP IM BEGGING QUICKKKKKKKK

Answers

A 3x with an exponet of 3

Debbie rides her bike to school every day. On Monday, she rode 1.5 miles to school in 10
minutes. On her way home, she took a different route through a park, and rode 3 miles in 15
minutes. On which route did Debbie ride at a faster pace?

Answers

Answer:

the second route

Step-by-step explanation:

1.5/10=0.15 miles/minute

3/15=0.2 miles/minute

0.2 is faster than 0.15

Simplify the expression 7b + 7 + 5b – 5b + 2a – 12.
Show your work!

Answers

Answer:

2a+7b-5

Step-by-step explanation:

7b + 7 + 5b – 5b + 2a – 12

2a+7b+5b-5b+7-12

2a+7b-5

can you explain this for me 7-9÷3+6×6×2-4÷2​

Answers

Answer:

The Answer Is 74. Your Welcome

worth 10 points ! need help asap

Which shows the given inequalities in slope-intercept
form?

Answers

Answer:

second option

Step-by-step explanation:

You want to isolate the 'y' in each inequality:

4x - 5y ≤ 1

-5y ≤ -4x + 1

y ≥ 4/5x - 1/5   (inequality symbol changed because we divided by a negative)

1/2y - x ≤ 3

y - 2x ≤ 6    we multipled the original inequality by 2 to eliminate the denom.

y ≤ 2x + 6

The answer would be the 2nd option

HELP PLEASEE PLEASEE HELP ): ?

Answers

Answer:

They pass through origin

Step-by-step explanation:

Hope maka help

they are linear and they also pass through the origin.

38=p−15

PLEASE HELP MEHHHHH

Answers

Answer:

p=23

Step-by-step explanation:

Answer:

P=23

Step-by-step explanation:

38-15=23

p=23

Hope this helps

Have a great day!

5x+3=23
what is the answer?​

Answers

Answer:

4

Step-by-step explanation:

Sub both sides by 3 then describe 20 by 5.

X= 4! If you fill it in it’s 5(4) + 3= 23. Which goes to 20 + 3= 23

Ruben put an empty cup underneath a leaking faucet. After 1-1/2 hours, Ruben had collected 1/4 cup. What is the rate, in cups per hour, at which the water is leaking from the faucet?

Answers

0.1666666667 cups of water
90 mins = 0.25
60 min = 0.1666666667

Solve 5x+3=3x+11

Please can someone answer this.​

Answers

5x + 3 = 3x + 11

• first put all the x-values on one side and the rest on the other

Remember: when the number moves to the other side of the equal sign the sign (+ OR - switches. For ex: the 3 on the left becomes negative when moved to the right side of the equal sign)

5x - 3x = 11 - 3

• subtract left and right sides separately

2x = 8

• divide both sides by 2 to solve for x

2x/2 = 8/2

x = 4 (final answer)

5x+3=3x+11
2x+3=11
2x= 8

x=4

What is the slope of the line on the graph?

Answers

Answer: -6/2 = -3

Step-by-step explanation:

You pick 2 points and then use rise/run=y/x

Because its slanted down its negative

Please help me with this

Answers

9514 1404 393

Answer:

  98°

Step-by-step explanation:

Inscribed angle FGH is half the measure of the intercepted arc FH. The measure of arc FH is identical to the measure of central angle FIH. So, angle FIH has twice the measure of inscribed angle FGH:

  ∠I = 2×∠G = 2×49°

  ∠I = 98°

Use a number line to order the numbers from least to greatest.

HELLLPPPP!!!!!

Answers

So the smallest is 8/25 because it’s .32 so put it on 0.32. Then 38% because it u divide 38 by 100, you get .38 so put it between .46 and .4. And the last one is 0.41. You put it next to 0.4

Half the area of the rectangle shown is 24 inches. Write and solve an equation to find the value of 'x'

Answers

Answer:

The answer will b 4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

help me please and thank you ​

Answers

i believe the answer is 78.54 , D

Answer:

A 7.85 cm2 should be right

A microscope was originally priced at $100 but went on sale for 10% off. If Adele bought the microscope and paid 10% sales tax, how much did she pay in total?

Answers

Answer:

$99

Step-by-step explanation:

First, it was on sale for 10% off. 10% = 0.1 = 1/10. 1/10 of 100 is 10, so we subtract 10 (because 10% off) to get $90. Then, the sales tax, which we add, is 10%. 1/10 of 90 is 9, so we add 9 to 90 to get our total to be $99

Can you please help me with this???

Answers

Answer:

SQT = 100

Step-by-step explanation:

A full circle equals 360 degrees, when the other angles are added up 140 + 120 = 260 which is 100 off of 360 meaning the last angle is that 100 degrees.

Which statement explains why 49 is a perfect square?

49 can be multiplied by 49.

49 is equal to 7 plus 7

49 betweern 36 and 64

49 is equai to 7 times 7
On edge

Answers

Answer:

the statement that shows that 49 is a perfect square 49 is equal to 7 times 7

A trumpet cost $234.36 after tax. The price was $217 before tax. What was the percent of sales tax charged?

Answers

About 92 % hope this helps

3(8 - x) = 7x - 6
I need help

Answers

The answer to your question is 3

x = 3

I solved for x cause I wasn't exactly sure what you wanted.

Solve number 1 that is in the image

Answers

Answer:

120, 15

Step-by-step explanation:

Answer:

15,120

Step-by-step explanation:

x-axis-15(read vertically)

y-axis-120(read horizontally)

What number is 40% of 160?

Answers

Answer:

64

Step-by-step explanation:

it’s 64 percent......!

Help? Show work!
Triangle PQR ≅ Triangle XYZ
PQ = 3a + 4 and XY = 5a – 12. Find a and PQ.

Answers

Given:

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ=3a+4[/tex]

[tex]XY=5a-12[/tex]

To find:

The value of a and PQ.

Solution:

We have,

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ\cong XY[/tex]                            (CPCTC)

So,

[tex]PQ=XY[/tex]

[tex]3a+4=5a-12[/tex]

Isolating variable terms, we get

[tex]3a-5a=-4-12[/tex]

[tex]-2a=-16[/tex]

Divide both sides by -2.

[tex]a=\dfrac{-16}{-2}[/tex]

[tex]a=8[/tex]

Now,

[tex]PQ=3a+4[/tex]

[tex]PQ=3(8)+4[/tex]

[tex]PQ=24+4[/tex]

[tex]PQ=28[/tex]

Therefore, the value of a is 8 and the value of PQ is 28.

How was your winter break and what would are your goals of 2021? What would you have done differently in 2020? lol i don't know what to say :(.

Answers

Answer:

Just look at the explanation

Step-by-step explanation:

My winter Break was really great. I got to spend time with my family! Looking back on 2020, I see that I would have iked to ask my parents for a dog before we figured out that they were allergic to them. But other than that, I am so glad that this year is over!

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