A vehicle moves along a straight road. The vehicle's position is given by f(t) , where tt is measured in seconds since the vehicle starts moving. During the first 10 seconds of the motion, the vehicle's acceleration is proportional to the cube root of the time since the start. Which of the following differential equations describes this relationship, where k is a positive constant?

a. df/dt = kſ
b. df/dt - = kgf
c. d²f/dt = kyt dt2
d. d²f/dt = ky

Answers

Answer 1

Answer:

Step-by-step explanation:

a

or D


Related Questions

PLEASE WILL NAME BRAINLIST
The table shows the length y (in inches) of a person’s hair after x months.

months x: 0 3 6
hair Length y:11.0 12.5 14.0

a. Write and graph a linear function that relates y to x .
y=
b. Interpret the slope and the y-intercept

The slope indicates that the hair length increases by what
inch per month. The y-intercept indicates that the initial hair length is what
inches.

Answers

The difference between 11.0 and 12.5 is 1.5 and same with 12.5 and 14.0, so 1.5 is what the hair increases by every THREE months but if you want to find PER month, you are going to divide 1.5 by those 3 months to get .5 inches per month, so your slope will be 1/2

Need help on this subject ????

Answers

9514 1404 393

Answer:

  (c)  2

Step-by-step explanation:

The product of the lengths to the near and far circle intercepts is the same for both secants.

  3×(3+5) = 4×(4+x)

  24 = 16 +4x . . . simplify

  6 = 4 +x . . . . . . divide by 4

  2 = x . . . . . . . . .subtract 4

Find the third side in simplest radical form:
28
45

Answers

Answer:

20:23?

Step-by-step explanation:

Analysis of the venom of seven eight-day-old worker bees yielded the following observations on histamine content in nanograms: 649, 832, 418, 530, 384, 899, 755.
(a) Construct by band a 90% CI for the true mean histamine content for all worker bees of this age. What assumptions, if any, are needed for the validity of the CI?
(b) The true mean histamine content will be in the CI you constructed in part (a) with probability 90%. True or false?
(c) Find the confidence level of the CI (418, 832) for the population median histamine content.

Answers

Answer:

a.

• The population is normally distributed

• The 7 subjects represent a random sample from this population

b. True

c. 74.16%

Step-by-step explanation:

on using data [649, 832, 41 8, 530, 384, 899, 755] (please correct if wrong)

sample mean: 638.143

s: 201.72

Sample Mean = 638.143

SD = 201.72

Sample Size (n) = 7

Standard Error (SE) = SD/root(n) = 76.243

alpha (a) = 1-0.9 = 0.1

we use t-distribution as population standard deviation is unknown t(a/2, n-l ) = 1.9432

Margin of Error (ME) = SE = 148.1554

90% confidence interval is given by: Sample Mean +/- (Margin of Error) 638.143 +/- 148.1554 = (489.9876 , 786.2984)

• The population is normally distributed

• The 7 subjects represent a random sample from this populatio

(b) true, this is the definition of Cl

(c) (41 8, 432) has width = 14

hence, Margin of error = 7

sorted data is 384, 418, 530, 649, 755, 832, 899

Here 418 and 432 are 2nd and 6th entry of sample size of 7

Since median is given by (1 + n/2 + z(alpha/2)*sqrt(n) /2 )th entry on the right, we conclude that 1 + (3.5 + this gives z = 1.1339 ==> alpha = 0.2584

Hence this Cl is of 74.16% (approximately)

Note that your course might have given a different formula for calculating Cl medians from sample.

Question 8
Which property justifies the fact that 5(x - 2) is equivalent to 5x - 10?
commutative
associative
O distributive

Answers

It would be distributive since you distributed the 5 to x and -2.

5*x = 5x and 5*-2 = -10

What is the right answer please

Answers

Answer:

a is the answer my aunt told me she is a teacher

​ \frac{5}{2}\mathrm{g}-\frac{1}{2}\mathrm{g}= 2 5 ​ g− 2 1 ​ g simlily

Answers

Answer:

ok

Step-by-step explanation:

When rounded to the ten thousands place, which of the numbers below round to 230,000

Answers

Answer:

Here are some correct options:

225,891

234,567

232,987

Step-by-step explanation:

Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received
c fewer cookies than she would have received had all of the cookies been evenly divided among the 8
grandchildren.
ining
How many cookies did Cindy receive?
Write your answer as an expression.

Answers

Answer:

12-c

Step-by-step explanation:

This is quite simple

We know grandma has made 96 cookies and IF all children 8 receive equal cookies

They would have 12 cookies each

Cindy got c less cookies

so we can say

12-c is what Cindy got

I guess grandma got hungry

Answer:

Step-by-step explanation:

98 = 8 = 12

cindy cookies = 12-c


a. Find three rational numbers between 1/4 and 0.25 repeating
b. Find three rational numbers between 1/3 and 0.34 repeating

Answers

a. 0.250006, 0.250007, 0.250008
b. 0.3330001, 0.3330002, 0.3330003

By using the definition of rational numbers, we can get:

a)  0.2501,  0.2502,  0.2503b) 0.334, 0.335, 0.336

How to find rational numbers?

Remember that a rational number is a number of the form:

N = a/b

Where a and b are integer numbers. Also, any number with a finite number of digits (or infinite repeating) after the decimal point is a rational point.

a) First, we want to find 3 rational numbers between 1/4 and 0.252525...

We can rewrite:

1/4 = 0.25

Then we want to find 3 rationals between 0.25 and 0.2525...

For example, 0.2501 meets this requirement, is larger than 0.25 and smaller than 0.2525...

Another two examples will be 0.2502 and 0.2503

b) Now we have 1/3 = 0.333... and 0.3434...

3 rational numbers between these two are:

0.333... < 0.334 < 0.3434...

0.333... < 0.335 < 0.3434...

0.333... < 0.336 < 0.3434...

If you want to learn more about rational numbers, you can read:

https://brainly.com/question/12088221

A rectangular swimming pool is 15 meters long, 11- meters wide, and 4-meters deep. What is its 2 2. volume? The volume is cubic meters.​

Answers

Answer:

the volume of the rectangular swimming pool is 660 meters cubic

Step-by-step explanation:

you multiply 15x11x4

perimeter and area of a rectangular figure has a perimeter of 34cm its length is 9cm​

Answers

Answer:

Perimeter of rectangle = 32

Step-by-step explanation:

32 = 2(L+B)

L+B=16

B=16-L

B=16–9

B=7

AREA = L*B

AREA = 63sq.cm

) Solve
the problem please

Answers

Answer:

0.03703703703

Step-by-step explanation:

Look it up

0.03703703703 is the answer hop d this helps you

Dan bought 20 bunches of seedless green grapes for $48. How many bunches can Kali buy if she has $12?

5

29

4

6​

Answers

Answer:

48/20=2.4

12/2.4=5

Step-by-step explanation:

Kai can buy 5 bunches of grapes if she has $12.

Answer:

It's 29.

Step-by-step explanation:

48/20=2.4

12x2.4=28.8

Round up to 29.

Andy sold his used bike and accessories for 246. He received 5 times as much money for the bike as he did for the accessories, how much did he receive for the bike

Answers

Answer:

1230 is how much he received for the bike

Step-by-step explanation:

Select the best answer for the question.
7. There are 250 mL of D5W infusing at 33 gtt/
min on IV tubing calibrated at 10 gtt/mL. What is the
infusion time?
O A. 1 hour and 16 minutes
OB. 1.5 hours
O C. 1 hour
O D. 2 hours
Mark for review (Will be highlighted on the review page)
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FULL
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Answers

Answer:

A. 1 hour and 16 minutes

Step-by-step explanation:

There are 250 mL of D5W infusing at 33 gtt/min on IV tubing calibrated at 10 gtt/mL.  Calculate the infusion time.

select "No IV pump"

volume = 250 mL

rate = 33 gtt/min

calibration = 10 gtt/mL

Actual formula:

250 /( 33 gtt/min

10x  60)= 1.26 Hours

0.26 x 60 = 16 minutes

So 1.26 Hours = 1 Hour & 16 minutes

hope this will help you


Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long.
If Roger is 4.5 feet tall, what is the height of the tree?
O A. 12 ft
OB. 16.5 ft
O C. 19.5 ft
OD. 27 ft​

Answers

Answer:

the answer should be 27 ft

sorry if I'm wrong

The height of the tree will be 27 ft. The correct option is D.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long. If Roger is 4.5 feet tall.

The height of the tree will be calculated as,

Height = ( 18 x 4.5 ) / 3

Height = 6 x 4.5

Height = 27 ft

Hence, the height will be 27 ft.

To know more about trigonometry follow

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A number cube has faces 1 through 6. How many of the number on the cube are composite?


A. 1

B. 2

C. 3

D. 4

Answers

Answer:

B) 2 numbers

Step-by-step explanation:

composite #'s:  4, 6

prime #'s:  2, 3, 5

neither composite nor prime:  1

In the year 2009, a company made $5.4 million in profit. For each consecutive year after that, their profit increased by 11%. How much would the company's profit be in the year 2012, to the nearest tenth of a million dollars?​

Answers

Answer:

Hi Grif05!

Your answer is 7.1 million.

To be exact , 7182000

Step-by-step explanation:

The distance between 2009 and 2012 is 3 years so we multiply.

11x3=33.

Now we must find 33% of 5.4 million.

33 % of 5.4 million is 1782000.

33% of 5400000 = 1782000

We then add 33% of 5.4 million to itself.

We get an answer of 7182000.

Hope this helps! Tell me if I'm wrong please :)

What is the area of a triangle with a base of 4.8 mm and a height of 3.7
mm? *

Answers

Answer:

8.88 square mm

Step-by-step explanation:

The formula for solving a triangle is base multiplied by height divided by 2 or 1/2(b)(h)

So by plugging in what you have, you'll get 1/2(4.8)(3.7) as your equation. 4.8(3.7) = 17.76 which simplifies your equation to 1/2(17.76) or 17.76/2.

17.76/2 = 8.88

So, the area of the triangle is 8.88 square millimeters.

40 divided by 28! HURRY!!

Answers

Answer:

fraction~ 10/7

decimal~ 1.428571

mixed number~ 1 3/7

Step-by-step explanation: for decimal make sure to put the line over the 428571 because its an on going number

The Spanish club wants to raise $325.00 to attend a special program at
the Museum. The club decides to sell tacos at basketball games. The
tacos will sell for $1.50 for a small and $2.50 for a large. Write an
equation to relate the number of small and large tacos you must sell
to raise $325.00.

Answers

You will need to sell 100large and 100small

Please answer this and I will give brainliest

Answers

Answer:

D is the right answer [(2f+2) / 2(s^3) ]

Sade used the two blocks pictured to build a tower. What is the TOTAL VOLUME of the two blocks for this entire tower? * ​

Answers

Answer: V=120

have an amazing day <3

Answer:what is the answer i dont understand

plz help

Fiona has $998 in her savings account. If the bank pays 2.5% simple interest on savings, how much does she earn in one year?

A.
$24.95

B.
$399.20

C.
$2,495

D.
$294.86

Answers

The answer would be A: $24.95
Answer is A. $24.95

I just multiple 998 by 0.025 to get 24.95

2.5%=0.025

Find the 5th term of the arithmetic sequence -5x – 5, -12x – 8,
- 19x – 11, ...

Answers

Answer:

5th term of AP = -33x - 17

Step-by-step explanation:

Given:

Arithmetic sequences;

[-5x - 5], [-12x - 8], [ - 19x - 11] , ...

Find:

5th term of AP

Computation:

First term a = [-5x - 5]

Common difference d = a2 - a1

Common difference d = [-12x - 8] - [-5x - 5]

Common difference d = -12x - 8 + 5x + 5

Common difference d = -7x -3

5th term of AP = a + [n-1]d

5th term of AP = [-5x - 5] + [5-1][-7x -3]

5th term of AP = [-5x - 5] + [4][-7x -3]

5th term of AP = [-5x - 5] -28x -12

5th term of AP = -5x - 5 -28x -12

5th term of AP = -33x - 17

1.) Solve the following systems of equations graphically. The solution is y=x+3 y= -x-5

Answers

key ans lang yan sana makatulong HAHAHA

find the surface area2 No files

Answers

Answer:

672 sq. inches

Step-by-step explanation:

total surface area:

[tex]2\times ( \frac{1}{2} \times 7 \times 24 ) + (7 \times 9) +(24 \times 9)+(25 \times 9)\\= 672[/tex]

Find (g times f) (3)
f(x)=3x-2
g(x)=x^2

Answers

Answer GoF(3)=(3*3-2)^2=49

In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic
inches. What is the ratio of their diameters?
2:3
413.5
2:9
4:13.5

Answers

Answer:

2:3

Step-by-step explanation:

V = 4/3*pi*r^3

Diameter = 2r

The ratio of diameters of the two planets has volumes of 8 cubic inches and 27 cubic will be 2/3.

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other such that they should not be divisible.

The upper number is called as the numerator and the lower is called the denominator.

For example, 3/4 where 3 will be numerator and 4 will be denominator.

Given that the In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic.

Now volume of planets(sphere) = πD³/6 where D is diameter of sphere

So volume of first planet / volume of second planet ∝ (dia or first)³/(dia of second)³

⇒ V₁/V₂  ∝ (D₁/D₂)³

Given that V₁/V₂ = 8/27

So 8/27 =  (D₁/D₂)³

D₁/D₂ = 2/3

Hence, the ratio of diameters of two planets will be 2/3.

Learn more about Ratio here:

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