For a moving object, the force acting on the object varies directly with the objects acceleration. When a force of 35 N acts on a certain object, the acceleration of the object is 5 m/s^2. If the force is changed to 21 N, what will be the acceleration of the object?

Answers

Answer 1
Answer:  3 m/s^2

=======================================================

According to Newton's Second Law, we know that

F = m*a

where F is the force applied, m is the mass and 'a' is the acceleration.

We see that this is a direct variation equation for F and a, such that m is the constant of variation. It's similar to how y = kx is also a direct variation equation.

Plug in F = 35 and a = 5 to find m

F = ma

35 = m*5

35/5 = m

7 = m

m = 7

The object has a mass of 7 kg

Our equation F = ma updates to F = 7a

Now plug in the force F = 21 to find 'a'

F = 7a

21 = 7a

21/7 = a

3 = a

a = 3

The acceleration will be 3 m/s^2

Notice how a smaller force applied means that the acceleration has also gone down as well.


Related Questions

what is the solution to the equation below? sqrt x-7 = 5
A. 144
B. 12
C. 2
D. 4

Answers

Answer:

I think the answer is B.12

If this not correct, Sorry.

Please enter the missing number: 4, 5, 8, 17, 44, ?

Answers

Answer:

81

Step-by-step explanation:

from 4 to 5,the difference is 1 ,and when you multiply by 3, then add 3 to 5 ,it gives you 8 ,to get 17,I multiple 3by 3 and add the answer to 8 ,and the same continues upto when you get the final answer which is 81.

difference is just multiplying the previous difference with 3 and add it with the previous number .

Please help asap!!!!! At Sarah's cafe, customers can choose one of the following entrees: burrito, pasta, soup or taco. They can also order a side dish. They have a choice of french fries, salad, potato salad or coleslaw. Finally customers get to choose one of the following drinks and a choice of soda, coffee, water, milk or juice.
For dinner, the cafe offers diners a special, customers can order 2 sides with their entree. In how many different ways can dinner be ordered?

Answers

Answer:

120 different meals.

Step-by-step explanation:

Start with the entrees:  There are 4

There are side dishes : 4

Drinks: 5

The side dishes can be 4!/(2!2!) (order does not matter here). There are 6 ways.

The entrees are 1 of 4: 4

And 5 drinks

P(dinner) = 5 * 4 * 6 = 120

Answer:

120

4 * (4C2) * 5

4 * (6) * 5

Step-by-step explanation:

burrito,

pasta,

soup,

taco.

french fries,

salad,

potato salad

, coleslaw.

soda,

coffee,

water,

milk,

juice.

For dinner, the cafe offers diners a special, customers can order 2 sides with their entree. In how many different ways can dinner be ordered?

Grace bought a property valued at $200,00.00 and 20% down and a mortgage amortized over 10 years. She makes equal payments due at the end of every months. Interest on the mortgage is 4% compounded semi-annually and the mortgage is renewable after five years. a) What is the size of each monthly payment? b) What is the outstanding principal at the end of the five-year term? c) What is the cost of the mortgage for the first five years?

Answers

Answer:

Size of each monthly payment = $161.69 per month

Step-by-step explanation:

Given:

Value of property = $20,000

Downpayment = 20%

Number of payment = 12 x 10 = 120

Interest rate = 4% = 4% / 12 = 0.33 %

Computation:

Loan balance = 20,000 - 20%

Loan balance = $16,000

A] Size of each monthly payment [In Excel]

Size of each monthly payment = PMT(0.33%,120,16000,0)

Size of each monthly payment = $161.69 per month

Match the system of equations on the left with the number of solutions on the right

Answers

Answer:

top to bottom, the answers are b, c, a

Step-by-step explanation:

One way to find the solution to a system of equations is to substitute values in. For the first one,

y=2x+3

y=2x+5,

we can substitute 2x+3 =y into the second equation to get

y=2x+5

2x+3 = 2x+5

subtract 2x from both sides

3 = 5

As 3 is not equal to 5, this is never equal and therefore has no solution

For the second one,

y= 2x+7

y = (-2/3)x + 10

We can plug y=2x+7 into the second equation to get

2x + 7 = y = (-2/3)x + 10

2x + 7 = (-2/3)x + 10

add (2/3)x to both sides to make all x values on one side

2x + (2/3)x + 7  = 10

subtract 7 from both sides to make only x values on one side and only constants on the other

2x + (2/3)x = 3

(6/3)x + (2/3)x = 3

(8/3)x = 3

multiply both sides by 3 to remove a denominator

8x = 9

divide both sides by 8 to isolate x

x=9/8

There is only one value for when the equations are equal, so this has one solution

For the third one

y = x-5

2y = 2x - 10

Plug x-5 = y into the second equation

2 * y= 2*(x-5)

2 * (x-5) = 2x - 10

2x-10 = 2x-10

add 10 to both sides

2x=2x

As 2x is always equal to 2x, no matter what x is, there are infinitely many solutions for this system

Please help explanation if possible

Answers

Answer:

y=-3x+5

Step-by-step explanation:

concepts: y=mx+b is slope intercept equation formula

m=slope

b= y intercept

Therefore we need to find the slope and y intercept

first find slope

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

let y2 be 2

let y1 be -4

let x2 be 1

let x1 be 3

[tex]\frac{2-(--4)}{1-3}[/tex]

6/-2 = -3

m=-3

slope is -3

y= -3x+ b

we need find y intercept now

just plug in (1,2) into that equation

2=-3(1)+b

b=5

y=-3x+5

PLS HELP ME WITH THIS IM FAILING TERRIBLY PLS ITS PYTHAGOREAN THEOREM

Answers

Answer:

5.7

Step-by-step explanation:

9^2=x^2+7^2

Solving for x we get 81 - 49 which is 32.

The square root of 32 rounds to 5.7

please help. only need to do part b

Answers

Unless I’m reading it wrong, 20 students jumped 4 meters so 19 must have jumped less. As for more than 4.5, only 45 students jumped 4.5 meters, and only 60 students altogether, so the final 15 must have jumped more than 4.5.

The probability of drawing a red candy at random from a bag of 25 candies is 2/5. After 5 candies are removed from tehe bag, what is the probability of randomly drawing a red candy from the bag?

Answers

Given:

The probability of drawing a red candy at random from a bag of 25 candies is [tex]\dfrac{2}{5}[/tex].

To find:

The probability of randomly drawing a red candy from the bag after removing 5 candies from the bag.

Solution:

Let n be the number of red candies in the bag. Then, the probability of getting a red candy is:

[tex]P(Red)=\dfrac{\text{Number of red candies}}{\text{Total candies}}[/tex]

[tex]\dfrac{2}{5}=\dfrac{n}{25}[/tex]

[tex]\dfrac{2}{5}\times 25=n[/tex]

[tex]10=n[/tex]

After removing the 5 candies from the bag, the number of remaining candies is [tex]25-5=20[/tex] and the number of remaining red candies is [tex]10-5=5[/tex].

Now, the probability of randomly drawing a red candy from the bag is:

[tex]P(Red)=\dfrac{5}{20}[/tex]

[tex]P(Red)=\dfrac{1}{4}[/tex]

Therefore, the required probability is [tex]\dfrac{1}{4}[/tex].

PLS HELP MEEE I NEED HELP TO PASS PYTHAGOREAN THEOREM

Answers

Answer:

b=12

Step-by-step explanation:

b^2+35^2=37^2

b^2+1225=1369

b^2=144

b=12,-12

Lengths can't be negative, so b=12

Answer:

b=12

Step-by-step explanation:

The Pythagorean theorem is

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

35^2 + b^2 = 37^2

1225+b^2 =1369

b^2 =1369-1225

b^2 = 144

Taking the square root of each side

sqrt(b^2) = sqrt(144)

b=12

Mrs. Albert has three times as many gladiolas as Mr. Haas. Together they have 128 gladiolas. How many gladiolas does Mrs. Albert have?

Answers

Answer:

96

Step-by-step explanation:

Let the gladiolas Mr Haas has be x

We know that Mrs Albert has 3 times as many gladiolas as Mr. Haas, so Mrs Albert has:

3x gladiolas

Together they have 128 gladiolas, so:

x + 3x = 128

4x = 128

x = 128/4

x = 32

Therefore Mr Haas has 32 gladiolas & if Mrs. Albert has 3 times more than him she has (32x3) = 96 gladiolas.

answered by g a u t h m a t h

Below are the times (in days) it takes for a sample of 6 customers from Sarah's computer store to pay their invoices.
33, 16, 29, 41, 36, 37

Find the standard deviation of this sample of times. Round your answer to two decimal places.

=___

Answers

Answer:

8.80

Step-by-step explanation:

(S. D.)^2=summation(x-mean)^2/(n-1)

S. D.=sqrt(388/5)

S. D.=8.80

Find the missing number.

____ × 7 = 91

please help me

Answers

91 divided by 7 is 13.
13 is the missing number

Answer: 13

Step-by-step explanation:

Take 7 to the other side and divide 91 by 7, the answer will be 13.

write an equation for a line that is perpendicular to 2x - 4y = 10

Answers

Answer:

5

The correct answer is Y= - __

4

15/2 divided by 5/3

Brainlest is one the line

Answers

Answer:

[tex] \frac{9}{2} [/tex]

Step-by-step explanation:

[tex] \frac{15}{2} \div \frac{5}{3} = \frac{15}{2} \times \frac{3}{5} = \frac{3}{2} \times \frac{3}{1} = \frac{9}{2} [/tex]

A spinner is divided into 4 equal sections numbered 1 through 4. It is spun twice, and the numbers from each spin are added.

What is the probability that the sum is less than 6?

0.563
0.714
0.625
0.750

Answers

Answer:

0.625

Step-by-step explanation:

Since there are 4 options each time the spinner is spun, there are a total of [tex]4\cdot 4=16[/tex] non-distinct sums possible when we spin it twice.

Out of these, the possible sums that meet the condition (less than 6) are 2, 3, 4, and 5 (since the smallest sum possible is 1+1=2).

Count how many ways there are to achieve each of these sums:

[tex]1+1=2\\\\1+2=3\\2+1=3\\\\2+2=4\\1+3=4\\3+1=4\\\\2+3=5\\3+2=5\\4+1=5\\1+4=5[/tex]

Totally there are 10 ways to achieve a sum less than 6. Therefore, the desired probability is [tex]\frac{10}{16}=\frac{5}{8}=\boxed{0.625}[/tex]

PLZZZZZZ HELPPPPPPPP!!!!

Answers

Answer:

[tex]3 \frac{3}{5} [/tex]

Step-by-step explanation:

Given,

Vince used a cup of lemonade will be = 3/5

We know that,

Amount of lemonade used by Luva is 6 times of Vince

Therefore,

Lemonade used by Luca

[tex] = \frac{3}{5} \times 6[/tex]

[tex] = \frac{18}{5} [/tex]

[tex] = 3 \frac{3}{5} (ans)[/tex]

a-1/3 =3/4
what is a

Answers

Answer:

a = 13/12

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

a - 1/3 = 3/4

Step 2: Solve for a

[Addition Property of Equality] Add 1/3 on both sides:                                      a = 13/12

9. The scatter plot below shows the average yearly consumption of
bottled water by people in the United States starting in 1990.
18
16
14
Gallons of
Bottled
Water per
Person
12
10
1990 1992 1994 1996 1998 2000
Year
Using the line of best fit, predict the average consumption of bottled
water in the year 2000?
B) 18 gallons
A) 20 gallons
C) 20 gallons
D) 19 gallons

Answers

A 20 gallons Bb. A Anna

Find the surface areas of each figure. Round your answers to the nearest tenth, if necessary​

Answers

Answer
351.86

Detailed explanation:

SEE QUESTION IN IMAGE

Answers

Answer:

23

Data is:

5, 6, 7

Mean:

(5 + 6 + 7)/3 = 6

Standard deviation:

σ = [tex]\sqrt{((5 - 6)^2+(6-6)^2+(7-6)^2)/3} = \sqrt{2/3}[/tex]

Correct choice is d

24

Data is:

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

Mean:

(-5 -4 - 3 - 2 - 1 + 0 + 1 + 2 + 3 + 4 + 5)/11 = 0

Standard deviation:

σ = [tex]\sqrt{((-5)^2+(-4)^2+(-3)^2+(-2)^2+(-1)^2+0^2+1^2+2^2+3^2+4^2+5^2)/11} = \sqrt{10}[/tex]

Correct choice is d

25

Data is:

3, 4, 5, 6, 7

Mean is:

5

Standard deviation:

σ = [tex]\sqrt{((3-5)^2+(4-5)^2+(5-5)^2+(6-5)^2+(7-5)^2)/5} = \sqrt{2}[/tex] ≈ 1.4

Correct choice is d

I want answer for third question
3rd**

Answers

I think it is 1 I am not sure tho

There are 3200 students at Lake High School and 2/5 of these students are sophomores. If 3/8 of the sophomores are opposed to the school forming a crew team and 1/8 of the remaining students (not sophomores) are also opposed to forming a crew team, how many students are in favor of this idea?

Answers

Answer:

4

Step-by-step explanation:

2/5*3000 = 1200 seniors

then

3000 - 1200 = 1800 students not seniors

therefore

4/5* 1200 = 960 do not like rock climbing

and

9/10** 1800 = 1620 also do not like it:

"how many students are in favor of this idea?"

subtract the "don't likes" from 3000

3000 - (960+1620) = 420 like rock climbing:

3x-x+2=4

Step-by-step explanation:

here's the answer to your question

find the missing side​

Answers

Answer:

x ≈ 13.7

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{40}[/tex] ( multiply both sides by 40 )

40 × cos70° = x , then

x ≈ 13.7 ( to the nearest tenth )

Please help explanation if possible

Answers

[tex] \Large \colorbox{red}{ \sf\color{white}{Aиswεr : }}[/tex]

Sudden uncontrollable fear or anxiety, often causing wildly unthinking behaviour.

Answer:

y = 0.45x

Step-by-step explanation:

After 2 secs can ring 2 × 0.45

After 3 secs can ring 3 × 0.45

After 4 secs can ring 4 × 0.45 , then

After x secs can ring y = x × 0.45 = 0.45x , that is

y = 0.45x

(-1,6),(3,-4) find the slope and y intercept.​

Answers

Answer:

Y =-2.5X +3.5

Step-by-step explanation:

x1 y1  x2 y2

-1 6  3 -4

   

(Y2-Y1) (-4)-(6)=   -10  ΔY -10

(X2-X1) (3)-(-1)=    4  ΔX 4

   

slope= -2  1/2    

B= 3  1/2    

   

Y =-2.5X +3.5    

Anna read 6 pages of a book then stopped. She later decided to continue the book and read 7 more pages every day.
Let d represent the number of days since Anna decided to continue the book and p represent the total number of pages of the book she had read.
Complete the table using the equation p=7d+6.
d p
7
8
9
10 76

Answers

Answer: 55, 62, 69, 76

Step-by-step explanation:

(to complete the table, plug d values into the equation to find p values)

p = 7d + 6, d = 7

p = 7(7) + 6 = 49 + 6 = 55

p = 7d + 6, d = 8

p = 7(8) + 6 = 56 + 6 =62

p = 7d + 6, d = 9

p = 7(9) + 6 = 63 + 6 =69

p = 7d + 6, d = 10

p = 7(10) + 6 = 70 + 6 =76

Which of the lists of letters all have line symmetry?
1. (A, B, C, D)
2. (W, X, Y, Z)
3. (L, M, N, O)
4. (S, T, U, V)

Answers

Answer:

The first row

Step-by-step explanation:

Letters A,B,C,D

Answer:  1. (A, B, C, D)

==================================================

Explanation:

Check out the diagram below to see where the lines of symmetry are located.

For the letter A, we have a vertical line through the center that is the mirroring line. Reflecting one half over that line generates the other half.

For letter B, we have a horizontal line through the center. This applies to letters C and D as well.

This is why answer choice 1 is the final answer.

-----------

For letter Z, we have neither a vertical nor a horizontal mirror line. This letter doesn't have any lines of symmetry (though it does have rotational symmetry). So we can rule out answer choice 2.

Letter N is pretty much the same idea as letter Z. There aren't any lines of symmetry but we do have rotational symmetry. So we can rule out answer choice 3.

Lastly, we can rule out answer choice 4 because letter S has the same properties as letters Z and N.

Five friends raced each other. Bill finished next to last. John finished behind Bill. Al finished after Clark and before Tony. Which friend finished third?

Answers

Answer:

Tony

Step-by-step explanation:

Guided Practice


Find the first, fourth, and eighth terms in the sequence.

an=−5 · 3n−1a subscript n baseline equals negative 5 times 3 superscript n minus 1 baseline


A.
–15; –405; –32,805


B.
5; 135; 10,935


C.
–5; –135; –10,935

Answers

Answer:

C.

–5; –135; –10,935

Step-by-step explanation:

Answer:

C. -5; -135, -10,935

Step-by-step explanation:

...............................................................................................................................................

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