If a constant force acts upon an object with a mass of 2 kg, the acceleration of the object is 14 m/s^2. When the same Force acts upon another object it's acceleration is 4m/s^2. What is the mass of the object?

Answers

Answer 1

Step-by-step explanation:

in the first object:

force = mass × acceleration = 2 × 14 = 28 N

in the second object :

force = mass × acceleration

28=mass×4

then the mass = 28/4 = 7 kg


Related Questions

let f(x)=3x^2-6x+5 what is the leading coefficient

Answers

I think the answer is 3

desceibe how to determine the average rate of change between x=4 and x=6 for the function f(x)=2x^3 +4​

Answers

[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2x^3+4\qquad \begin{cases} x_1=4\\ x_2=6 \end{cases}\implies \cfrac{f(6)-f(4)}{6-4} \\\\\\ \cfrac{[2(6)^3+4]~~ -~~[2(4)^3+4]}{2}\implies \cfrac{436~~ -~~132}{2}\implies \cfrac{304}{2}\implies 152[/tex]

write an expression that is equivalent to 1/3(24p-33) -iready

Answers

Answer:

8p - 11

Step-by-step explanation:

Got the same I-Ready question lol

20 is 25% of what number?

Enter your answer in the box.

Answers

Answer:

80

Step-by-step explanation:

25 percent is equal to 1/4

1/4 of 80 is 20

Answer:

80

Step-by-step explanation:

∫(sinxdx)/(sinx^3+cosx^3)

Answers

i answered this but i couldn’t take multiple pictures. however i found a website with the same answer as me after i answered your question. here : https://www.quora.com/How-do-I-integrate-Integrate-sinxdx-sin-3x+cos-3x

A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee. If her coffee pot holds 8 cups, how many fluid ounces does she have left?

Answers

Answer:

4 fluid ounces

Step-by-step explanation:

A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee. If her coffee pot holds 8 cups, how many fluid ounces does she have left?

Remember

8 fluid ounces = 1 cup.

First you need to do find out how many fluid ounces she poured in total.

So do,

5 mugs × 12 fluid ounces.

which is 60 fluid ounces.

Now that you now that you need to convert 8 cups into fluid ounces.

Like I said at the top 8 fluid ounces = 1 cup.

So you need to do,

8 cups × 8 fluid ounces.

Which is 64 fluid ounces she can hold in her coffee pot.

Now you subtract,

64 fluid ounces - 60 fluid ounces.

Which is 4 fluid ounces left in her coffee pot.

The number of fluid ounces she has left is 4 fluid ounces if the waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of the 5 mugs from a full pot of coffee.

What is unit conversion?

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

It is given that:

A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee.

Let x be the number of fluid ounces she has left.

4 fluid ounces

As we know,

8 fluid ounces = 1 cup

The total amount of coffee = 5×12

The total amount of coffee = 60

Total amount = 8 cups × 8 fluid ounces.

x = 64 fluid ounces - 60 fluid ounces.

x = 4 fluid ounces

Thus, the number of fluid ounces she has left is 4 fluid ounces if the waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of the 5 mugs from a full pot of coffee.

Learn more about the unit conversion here:

brainly.com/question/14350438

#SPJ2

PLEASE HELP FOR 100 POINTS AND BRAINLIESTT HELP PLEASE
Kim has fraction 1 over 2 cup of almonds. She uses fraction 1 over 8 cup of almonds to make a batch of pancakes.

Part A: How many batches of pancakes can Kim make with fraction 1 over 2 cup of almonds? (4 points)

Part B: On your own paper, draw a fraction model that shows the total number of batches of pancakes that Kim can make with fraction 1 over 2 cup of almonds. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A.

Answers

Answer:

The total number of batches of pancakes that Kim can make with  the model is 4 batches of pancake

Step-by-step explanation:

Number of cups of pancakes = 2/4

Number of cups of almonds to make a batch of pancakes = 1/8

Therefore, the batches of pancakes that she can make will be:

= 2/4 ÷ 1/8

= 2/4 × 8/1

= 4

In conclusion, the number of batches of pancakes that Kim can make with the cup of almonds is 4 batches.

Which expression is equivalent to 1/4 (5x + 6)?

Answers

The expression which is equivalent to 1/4 (5x + 6) is; Choice A: {5(1/4)x} + {6(1/4)x}.

According to the question:

We are required to determine an expression which is equivalent to 1/4 (5x + 6).

In a bid to expand the expression; we must multiply each term in the parenthesis by (1/4);

In essence; we have;

{5(1/4)x} + {6(1/4)x}

Read more on multiplication;

https://brainly.com/question/847421

Understand how to work with negative bases and negative exponents.
5^2 =
5^-2 =
(-5)^2 =
- 5^2 =
(Remember to find the base, then multiply.)

Answers

Answer:

[tex]Understand \: how \: to \: work \: with \: negative \: bases \\ \: and \: negative \: exponents. \\

\bold{answer - } \\ {5}^{2} = 5 \times 5 = 25 \\ {5}^{ - 2} = \frac{1}{ {5}^{2} } = \frac{1}{25} = 0.04 \\ {( - 5)}^{2} = ( - 5) \times ( - 5) = 25 \\ - {5}^{2} = ( - 5) \times ( - 5) = 25 \\ \\ \bold \purple{hope \: it \: helps \: ♡}[/tex]

LAST ATTEMPT MARKING AS BRAINLIEST!! ( write a rule to describe each transformation)

Answers

Answer:

See explanation

Step-by-step explanation:

Dilation of 1.5 about the origin. (Each new point is 1.5 times as far from the origin.)

G (-1, 3)  G' (-1.5, 4.5)

F (-2, -2)  F' (-3, -3)

G'x / Gx = -1.5/-1 = 1.5

G'y / Gy = 4.5 / 3 = 1.5

F'x / Fx = -3 / -2 = 1.5

F'y / Fy = -3 / -2 = 1.5

The point (3, 3) is in what quadrant? 2,1,3,4

Answers

Answer:

1

Step-by-step explanation:

(3,3) has a positive x value and a positive y value which means it is in the first quadrant

A spherical solid, centered at the origin, has radius 4 and mass density(x,y,z)=6-(x^2+y^2+z^2). Set up the triple integral and find its mass.
I've attached a photo of the question.

Answers

There's something very off about this question.

In spherical coordinates,

x² + y² + z² = ρ²

so that

f(x, y, z) = 6 - (x² + y² + z²)

transforms to

g(ρ, θ, φ) = 6 - ρ²

When transforming to spherical coordinates, we also introduce the Jacobian determinant, so that

dV = dx dy dz = ρ² sin(φ) dρ dθ dφ

Since we integrate over a sphere with radius 4, the domain of integration is the set

E = {(ρ, θ, φ) : 0 ≤ ρ ≤ 4 and 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π}

so that the integral is

[tex]\displaystyle \int_{\phi=0}^{\phi=\pi} \int_{\theta=0}^{\theta=2\pi} \int_{\rho=0}^{\rho=4} (6 - \rho^2) \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]

Computing the integral is simple enough.

[tex]\displaystyle = \int_{\phi=0}^{\phi=\pi} \int_{\theta=0}^{\theta=2\pi} \int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]

[tex]\displaystyle = 2\pi \int_{\phi=0}^{\phi=\pi} \int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \sin(\phi) \, d\rho \, d\phi[/tex]

[tex]\displaystyle = 2\pi \left(\int_{\phi=0}^{\phi=\pi} \sin(\phi) \, d\phi\right) \left(\int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \, d\rho\right)[/tex]

[tex]\displaystyle = 2\pi \cdot 2 \cdot \left(-\frac{384}5\right) = \boxed{-\frac{1536\pi}5}[/tex]

but the mass can't be negative...

Chances are good that this question was recycled without carefully changing all the parameters. Going through the same steps as above, the mass of a spherical body with radius R and mass density given by

[tex]\delta(x, y, z) = k - (x^2 + y^2 + z^2)[/tex]

for some positive number k is

[tex]\dfrac{4\pi r^3}{15} \left(5k - 3r^2\right)[/tex]

so in order for the mass to be positive, we must have

5k - 3r² ≥ 0   ⇒   k ≥ 3r²/5

In this case, k = 6 and r = 4, but 3•4²/5 = 9.6.

find the angle of rotation that maps point D onto point A

Answers

Answer:

A - 144

Step-by-step explanation:

everything else would be too far. thx

After 5 throws in a game of darts, Brent's mean score was 32. Calculate his total score.

Answers

1.To know this answer, we need to know some vocabulary that's used in t. Most people don't know how to solve questions if they have hard Vocabulary and what the question is Asking

Mean=The average of all his throws

It's asking us to calculate his total score  

2. Find Clues to help you solve word problems

Finding clues in Word Problems is a very important part a lot of people skip but this helps you solve the question easier

5 throws and Mean Score is 32 are the clues

3. Guess and check

The method to this thingy is called guess and check. There is another method which is slightly harder and i just don't want to do it.

Let's just say his scores were... 5, 6, 4, 5,10Add them up and you get 30Then 30/5

Let's try bigger numbers

20+25+20+20

If you like this method, you may try it another method is called work Backwards

5x32=160

Then divide 160 by 5 to double check and you get 32!!

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

Therefore, the answer s 160 as his total score

hope this gives you a clue to what we are doing and when you have a question like this, I really hope you understand the concept

Hope this helped (:

A rectangle is 8 feet long. Its width is represented by “seven plus x feet.” Which expression represents the area, in square feet, of the rectangle?

Answers

56 + 8x

Area of Rectangle = Length x Width

Area of Rectangle = 8(7 + x)

Jackson bought 6 basketballs for 72 dollars what was the price per basket ball

Answers

Answer:

the answer would be 12 I say this because 72 divied by 6 would equal 12

Answer:

12 dollars

Set up a proportion.

6/72=1/x

Solve by cross-multiplying (my preferred method) and then you will end up with the final answer of x=12.

12 is the answer :)

PLEASE MARK BRAINLIEST!

THANK YOU & HAVE A WONDERFUL DAY :))

Help help help help hep

Answers

i think that the answer is 0 because f(2) means that you substitute 2 for x

2(2)=4

4-4=0

How do I find the equation of the perpendicular bisector between (-2,5) and (2,-1)?

Answers

Answer:

[tex]y = \frac{2}{3} x + 2[/tex]

Step-by-step explanation:

Start by finding the slope of the given line.

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope of given line

[tex] = \frac{5 - ( - 1)}{ - 2 - 2} [/tex]

[tex] = \frac{5 + 1}{ - 4} [/tex]

[tex] = \frac{6}{ - 4} [/tex]

[tex] = - \frac{3}{2} [/tex]

A perpendicular bisector cuts through the line at its midpoint perpendicularly.

The product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

[tex] - \frac{3}{2} m = - 1[/tex]

[tex]m = - 1 \div ( - \frac{3}{2} )[/tex]

[tex]m = - 1 \times ( - \frac{2}{3} )[/tex]

[tex]m = \frac{2}{3} [/tex]

[tex]y = \frac{2}{3}x + c[/tex], where c is the y-intercept.

To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.

[tex]\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}[/tex]

Midpoint of given line

[tex] = ( \frac{ - 2+ 2}{2} , \frac{5 - 1}{2} )[/tex]

[tex] =( \frac{0}{2} , \frac{4}{2} )[/tex]

= (0, 2)

[tex]y = \frac{2}{3} x + c[/tex]

When x= 0, y= 2,

2= ⅔(0) +c

2= 0 +c

c= 2

Thus, the equation of the perpendicular bisector is [tex]y = \frac{2}{3} x + 2[/tex].

Three boxes are stacked one on top of the other. One box is 4 feet 8 inches tall, one is 3 feet 10 inches tall, and one is 2 feet 7 inches tall. How high is the stack?

Write your answer in feet and inches. Use a number less than 12 for inches.

Answers

11 feet 1 inches high. Add up all the feet, 4 + 3 + 2 = 9 feet. Add up all the inches 8 + 10 + 7= 25. If 12 inches are in a foot, there’s 2 feet in 25 with a remainder of 1 inch. Add 9 feet + 2 feet= 11 feet and 1” which is the remainder of the 25”.

Round 9296 to the nearest hundred?

Answers

The answer is 9300

Hope this helped :)

The answer it 9300 so 9296 round to is 9300

when the height of a rectangular prism was halved, the volume was 168 cubic cm. if the original prism had a length, width, and height of consecutive integers, increasing in that order,

(a) write and equation to solve for the length, x, of the original figure,
(b) solve length, x,
(c) show that the equation is unique
show all work.​

Answers

a) The equation is therefore; x³ + 3x² + 2x = 336

b) Solving for the length, we get the length to be; x = 6.

c) All workings are as shown below;

According to the question;

When the height of a rectangular prism was halved, the volume was 168 cubic cm.

In essence, the volume of the original prism is;

Volume = 168 × 2.

Volume = 336cm³

Since, the original prism had a length, width, and height of consecutive integers, increasing in that order.

Therefore, length = x

width = (x +1)

height = (x +2)

Volume = x (x+1) (x+2) = 336

a) The equation is therefore;

x³ + 3x² + 2x = 336

b) Solving for the length, x is as follows;

(x-6) (x² + 9x + 56) = 0

By testing values and checking;

Upon solving the polynomial, x = 6.

c) All workings are as shown above.

Read more on cubic equation:

https://brainly.com/question/8878887

In six years Xavier will be 3 times older than Joanne is today. Joanne is 24. How old is Xavier?

Answers

Answer:

72

Step-by-step explanation:

The area of a square pond is 1000m2.A path of uniform width is surrounded outside the pond and its area is 369m2.find the outer length of the path​

Answers

Answer:

631 m²

Step-by-step explanation:

Outer length of park = Total area - Area of pond

Outer length of park = 1000 - 369

Outer length of park = 631 m²

Answer:

Hope it will help you a lot.

Principal = $ 15000, rate = 10% p.a. and time
21/5 years
PLS HELP ASAP

Answers

Answer:

Simple Interest: A=P(1+rt)

A=15000(1+(0.1*4.2))

A=$21,300

Compound Interest:A=P(1+r/n)^nt

A=15000(1+0.1/4.2)^1*4.2

A=$64,500

Step-by-step explanation:

Express the following surds in the simplest form

a)
[tex] \sqrt{128} [/tex]
b)
[tex] \sqrt{48} [/tex]
c)
[tex] \sqrt{300} [/tex]

Answers

[tex] \sqrt{128} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} } \\ = 2 \times 2 \times 2 \\ = 8[/tex]

[tex] \sqrt{48} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times 3 } \\ = 2 \times 2 \sqrt{3} \\ = 4 \sqrt{3} [/tex]

[tex] \sqrt{300} \\ = \sqrt{2 \times 2 \times3 \times 5 \times 5} \\ = \sqrt{ {2}^{2} \times 3 \times {5}^{2} } \\ = 2 \times 5 \sqrt{3} \\ = 10 \sqrt{3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Help pls pls pls and thank you

Answers

Answer:

2 feet: $18

4 feet: $36

5 feet: $45

$81 = 4.5 feet

10 feet = $90

Step-by-step explanation:

2 feet: $18

4 feet: $36

18 + 18

5 feet: $45

18 + 18 + 9

$81 = 4.5 feet

81/18

10 feet = $90

18 + 18 + 18 + 18 + 18

help , I have like no clue on what I'm doing​

Answers

Answer:

Step-by-step explanation:

Linear equations can have the form y = mx + b

where m is the slope of the line and equals Δy/Δx

and b is the y intercept.

Just for fun, let's choose the first and last sets of data points.

Δy = (275 - 135) = 140

Δx = (5 - 1) = 4

so slope m = 140/4 = 35    and the units on the slope would be $/month

Answer:

The slope of the line is 35

Step-by-step explanation:

We'll select [tex](1,135)[/tex] and [tex](2,170)[/tex] for this problem.

The slope is defined as the rate of change. Its formula is [tex]Slope=m=\frac{Rise}{Run}=\frac{y_2-y_1}{x_2-x_1}[/tex] where our two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

Therefore, we have [tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{170-135}{2-1}=\frac{35}{1}=35[/tex] as our slope.

2. The sum of two cubes can be factored by using the formula q3 + b3 = (a + b)(a? - ab + b).
(a) Verify the formula by multiplying the right side of the equation.
(b) Factor the expression 8x3 + 27.
(c) One of the factors of 23 - bºis a - b. Find a quadratic factor of a3 - bº Show your work.
(d) Factor the expression x3 - 1.

Answers

Factorization involves breaking down an expression.

The factorized expression of [tex]8x^3 + 27[/tex] is [tex]8x^3 + 27 =(2x + 3)(4x^2 -8x3 +9)[/tex]The other factor of [tex]2^3 - b^3[/tex] is [tex]4+2b+b^2[/tex]The factorized expression of x^3 - 1 is [tex]x^3 - 1^3=(x-1)(x^2+x+1)[/tex]

The sum of cubes is given as:

[tex](a^3 + b^3) = (a + b)(a^2 -ab + b^2)[/tex]

(a) Verify the formula

Expand the expression on the right-hand side

[tex](a^3 + b^3) = a^3 -a^2b + ab^2 +a^2b - ab^2 + b^3[/tex]

Collect like terms

[tex](a^3 + b^3) = a^3 -a^2b +a^2b+ ab^2 - ab^2 + b^3[/tex]

[tex](a^3 + b^3) = a^3 + b^3[/tex]

The formula has been verified

(b) Factorized 8x^3+ 27

We have:

[tex]8x^3 + 27[/tex]

Express 27 as 3^3

[tex]8x^3 + 27 =8x^3 + 3^2[/tex]

Express 8 as 2^3

[tex]8x^3 + 27 =2^3x^3 + 3^3[/tex]

Rewrite as:

[tex]8x^3 + 27 =(2x)^3 + 3^3[/tex]

Given that:

[tex](a^3 + b^3) = (a + b)(a^2 -ab + b^2)[/tex]

The expression becomes

[tex]8x^3 + 27 =(2x + 3)((2x)^2 - (2x)3 +3^2)[/tex]

[tex]8x^3 + 27 =(2x + 3)(4x^2 -8x3 +9)[/tex]

(c)The other factor of 2^3 - b^3

By difference of cubes, we have:

[tex]x^3 - y^3=(x-y)(x^2+xy+y^2)[/tex]

So, the equation becomes

[tex]2^3 - b^3=(2-b)(2^2+2b+b^2)[/tex]

This gives

[tex]2^3 - b^3=(2-b)(4+2b+b^2)[/tex]

Hence, the other factor of [tex]2^3 - b^3[/tex] is [tex]4+2b+b^2[/tex]

(c) Factor x^3 - 1

We have:

[tex]x^3 - y^3=(x-y)(x^2+xy+y^2)[/tex]

Express 1 as 1^3 in x^3 - 1

[tex]x^3 - 1 =x^3 - 1^3[/tex]

[tex]x^3 - y^3=(x-y)(x^2+xy+y^2)[/tex] becomes

[tex]x^3 - 1^3=(x-1)(x^2+x+1^2)[/tex]

[tex]x^3 - 1^3=(x-1)(x^2+x+1)[/tex]

Read more about factorization at:

https://brainly.com/question/43919

Help help help help hep

Answers

Answer:

Yes

Step-by-step explanation:

Decrease £110 by 50%

Answers

Half of 110 is 55 so the answer is 55

Answer:

£55

Step-by-step explanation:

50% is just another way to say 1/2. This means that 1/2 of £110 is £55.

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