When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 15 kg, the acceleration of the object is 5 m/s². When the same force acts upon another object, its acceleration is 3 m/s? What is the mass of this
object?

Answers

Answer 1

Answer:

The mass of the object will be "25 kg".

Step-by-step explanation:

Given that,

Mass,

m = 15 kg

Acceleration,

a = 5 m/s²

Now,

The force will be:

⇒ [tex]F = ma[/tex]

       [tex]=15\times 5[/tex]

       [tex]=75 \ N[/tex]

When, acceleration (a) = 3 m/s²

⇒ [tex]F = ma[/tex]

or,

⇒ [tex]m=\frac{F}{a}[/tex]

        [tex]=\frac{75}{3}[/tex]

        [tex]=25 \ kg[/tex]


Related Questions

Please help me with this question!!

Answers

Answer:

ok so for g times h you would have to foil it and then you would multiply it by f of X

Use the diagram to determine which expressions you
can use to find 60% of 90.
Check all that apply.
O 3 x 0.20
O 0.60 x 90
O 0.90 x 0.60
O 3 x 20%
O 3 x 18
(IN A TEST PLEASE HELP)

Answers

60/100=0.6

So the answer is 0.60x90

Answer:

You can use 0.60 × 90, 3 × 18 works as well.

Step-by-step explanation:

Hmmm....let's see.

You can use 0.60 × 90, 3 × 18 works as well. The answer is 54.

We know this because when finding a percentage of a number you multiply that decimal by the number. 2nd option as well as last option could work. Hope this helps, please mark brainliest!

What is 12 decreased by p?

Answers

Answer:

12 - p

Step-by-step explanation:

12 - p

Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1

Answers

Answer:

Two real distinct solutions

Step-by-step explanation:

Hi there!

Background of the Discriminant

The discriminant [tex]b^2-4ac[/tex] applies to quadratic equations when they are organised in standard form: [tex]ax^2+bx+c=0[/tex].

All quadratic equations can be solved with the quadratic formula: [tex]x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}[/tex].

When [tex]b^2-4ac[/tex] is positive, it is possible to take its square root and end up with two real, distinct values of x.

When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.

When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.

Solving the Problem

[tex]3x^2+5x=-1[/tex]

We're given the above equation. It hasn't been organised completely in [tex]ax^2+bx+c=0[/tex], but we can change that by adding 1 to both sides to make the right side equal to 0:

[tex]3x^2+5x+1=0[/tex]

Now that we can identify the values of a, b and c, we can plug them into the discriminant:

[tex]D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13[/tex]

Therefore, because the discriminant is positive, the equation has two real, distinct solutions.

I hope this helps!

I will give 25 points for it if solve this problem ​

Answers

Answer:

5/27

30/81 = 10/17

it's just ratios but if you need then vice versa, swap numerator and denominator

Answer:

the person on top is correct :)

Step-by-step explanation:

the number 32747 written to 4 significant figure is​

Answers

Answer: 3275

Step-by-step explanation:

My best friend gave me an Bicycle for free and it is fire and so i want to give him something to what should i give him??

Answers

Answer:

Something that's in your budget.

Which choice is equivalent to the expression below when x 0?
√328 – 116x + 428 – 12x
O A. 3x12x
O B. 4x/2x
O c. 18x
O D. 32x

Answers

the answer is d hopes this helps you

Find the volume of the pyramid shown.

Answers

Answer:

48

Step-by-step explanation:

I did the work, the answer is 48

The answer would be 40, I just guest and got it right Answer: 40 cubic centimeters

Step-by-step explanation:

the number of calls received by an office on Monday morning between 8:00am and 9:30 am has a mean of 3.Calculate the probability of getting no more than 3 calls between eight and nine in the morning.

Answers

Answer:

Step-bLet X be the number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM.

In mathematical terms,  

X

P

o

i

s

s

o

n

(

2

)

.

The PMF of the random variable X is given as,

P

(

X

=

x

)

=

e

2

×

2

x

x

!

f

o

r

x

=

0

,

1

,

2

,

.

.

.

.

.

=

0

E

l

s

e

w

h

e

r

e

The probability of getting no more than 3 calls between eight and nine in the morning is obtained by the following way,

P

(

X

3

)

=

P

(

X

=

0

)

+

P

(

X

=

1

)

+

P

(

X

=

2

)

+

P

(

X

=

3

)

=

e

2

×

2

0

0

!

+

e

2

×

2

1

1

!

+

e

2

×

2

2

2

!

+

e

2

×

2

3

3

!

=

0

.13534

+

0

.27067

+

0

.27067

+

0

.18045

=

0

.85712

Hence the probability of getting no more than 3 calls between eight and nine in the morning is 0.85712.y-step explanation:

complete the conversion:
5 grams / metres squared = _________ kilograms / hectares
(5g/m2=_________ kg/ha)

Answers

Answer:

5 grams/metres squared = 50 kg/hectares

Step-by-step explanation:

We need to convert 5 grams/metres squared to kilograms/hectares.

We know that,

1 kg = 1000 g

1 hectare = 10000 m²

So,

[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]

Hence, 5 grams/metres squared = 50 kg/hectares

A scale drawing of Elizabeth's rectangular room is 4 inches by 7 inches. The scale is 1 inch = 3 feet. What is the area, in square feet, of Elizabeth's room?

Answers

Answer:

84 feet

Step-by-step explanation:

4 inches× 7 inches=28inches

28 inches×3feet=84feet

A baker uses 20
cups of flour to make 4 loves of bread. Use this information for the picture below!

Answers

Answer:

60 cups

Step-by-step explanation:

We can use ratios to solve

20 cups            x cups

---------------  = -------------------

4 loaves             12 loaves

20 * 12 = 4 *x

240 = 4x

Divide by 4

240/4 = 4x/4

60 =x

60 cups

What is the sign of -x/-y when x > 0 and y > 0?

Answers

Answer:

pretty sure its positive

Step-by-step explanation:

hope this helps, have  a great day!

Answer:

A is correct

Step-by-step explanation:

if we know that both x and y are positive, they are both going to be negative

and since we know that, -x divided by -y is the same as saying something negative divided by something negative which is ALWAYS positive because negatives cancel out leaving the answer positive something, something

hey what's the answer
Liliflim pls answer this if u know !
pls with full explanation ​

Answers

Answer:

I hope the above attachment helps you mate

Have a great day

[tex]#Liliflim[/tex]

Answer:

Solution given;

a⁴-23a²b²+b⁴

making in the form of a²+2ab+b²

a⁴+2a²b²+b⁴-2a²b²-23a²b²

(a²+b²)²-(5ab)²

factoring by using formula

x²-y²=(x+y)(x-y)

(a²+5ab+b²)(a²-5ab+b²)

I need this ASAP. Thanks​

Answers

Answer:

-6

Step-by-step explanation:

since x = - 5 is < 3

for x < 3,

f(x) = 3x + 9

placing the value of x as - 5

f(x) = 3× (-5) + 9

= -15 + 9

= - 6

The Grade 5W students at the Eber Prep School wanted to create a mural on one
side of the walls in their classroom. the area of the wall is 36 square meters or 36
meters square.

Answers

Answer:

the answer is 36 square meters since this is the proper way to phrase this answer but if you do say it the other way people will now what u are talking about


Which are the solutions of x2 = -13x – 4?

Answers

Answer:

x=3.75

Step-by-step explanation:

zeroes of polynomial p(x)=2x^2-9-3x are :​

Answers

Answer:

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

Step-by-step explanation:

To find the zeros let p(x) = 0 , that is

2x² - 3x - 9 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 9 = - 18 and sum = - 3

The factors are - 6 and + 3

Use these factors to split the x- term

2x² - 6x + 3x - 9 = 0 ( factor the first/second and third/fourth terms)

2x(x - 3) + 3(x - 3) = 0 ← factor out (x - 3) from each term

(x - 3)(2x + 3) = 0

Equate each factor to zero and solve for x

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]

x - 3 = 0 ⇒ x = 3

Jacqui likes to travel to the beach on weekends. She starts at her house, drives d miles, and then spends t hours walking the remaining w miles to get to the beach. Jacqui drives three times as long as she walks during the trip. The equation below represents Jacqui's average speed, a, in miles per hour, when traveling to the beach. a=d+w/3t+t What is the meaning of 3t + t3t+t in the equation above? -The total time that Jacqui spends traveling to the beach -The time that Jacqui spends driving to the beach -The total distance that Jacqui travels to the beach -Jacqui's maximum speed during her trip Jacqui's average speed during one trip to the beach was 3636 miles per hour. If Jacqui drove 70 miles and the entire trip to the beach took her 22 hours, how many miles did she walk to get to the beach?

Answers

Answer:

The answer is below

Step-by-step explanation:

1) Average speed is the ratio of the total distance travelled to the total time taken. Hence it is given by:

Average speed = total distance / total time

Total distance = d miles + w miles

Jacqui drives three times as long as she walks during the trip, hence:

time spent driving = 3t

Total time = 3t + t

Average speed = total distance / total time

a = (d + w) / (3t + t)

2) (3t + t) represents the total time that Jacqui spends traveling to the beach.

3) Given that a = 36 miles per hour, total time = 2 hours

a = total distance / total time

36 miles per hour = total distance / 2 hours

total distance = 72 miles

Total distance = distance walk + distance drove

72 = distance walk + 70

Distance walk = 2 miles

What’s the line of y= -1/2x+2

Answers

Answer:

A picture of the graph is attached

Step-by-step explanation:

Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions

Answers

Answer:

Step-by-step explanation:

y = mx + c (slope/intercept form)

c = 0 (this is the y intercept)

The format will be of y = mx

The gradient acts as the slope (m)

'y' acts as the line represented on the graph, or the 'times visited'

'x' is the independent variable, or the 'days for sale'

m = 10/5 = 2 (rise/run on the line shown)

m = 2

y = 2x

40 days > . y = (2 x 40),  y = 80 (number of times the house has been visited)

70 times visited > . 70 = 2x

70 / 2 = 35

x = 35 (days for sale)

Hello I need help :)
Solve the equation to find out how much money Rita made working 36 regular hours at $24 per hour plus 8 holiday hours of double-time. What are her total earnings for the week?

A.$1,104.00
B.$ 00.00
C.$1,068.00
D.$1,248.00

Answers

Answer:

The correct option is D) $1,248.00

Step-by-step explanation:

First calculate $24 at 36 hours

24 * 36 = $864

then

calculate $48 at 8 hours because of double time

48 * 8 = $384

then

add them both up

864 + 384 = $1248

D) 1,248.00

Hope this helps :)

Bab isn’t good with quick mafs

Answers

Answer:

153.86

Step-by-step explanation:

Formula area circle = πr²

Solve:

Area = 3.14* 7²

Area = 3.14 * 49

Area = 153.86

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Use the following function rule to find f(8). f(x) = (-4 + x)2
f(8) =​

Answers

Answer:

16

Step-by-step explanation:

f(x) = (-4 + x)^2

Let x=8

f(8) = (-4 + 8)^2

Parentheses  first

     = 4^2

Then powers

    = 16

Perez throws a stone on the pond. The path traveled by the stone can be modeled by y = -2x2 + 8x + 5, where x represents the time (in seconds) and y represents the height of the stone (in feet). What is the maximum height that the stone reaches

Answers

Answer:

The maximum height that the stone reaches is of 26 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

y = -2x2 + 8x + 5

Quadratic function with [tex]a = -2, b = 8, c = 5[/tex]

What is the maximum height that the stone reaches?

y value of the vertex. So

[tex]\Delta = 8^2-4(-2)(5) = 64 + 40 = 104[/tex]

[tex]y_{v} = -\frac{104}{4(-2)} = 26[/tex]

The maximum height that the stone reaches is of 26 feet.

if x= 3-2^2 then find the value of x^2+1÷x^2​

Answers

X = 3-2^2

Simplify x:

3-4 = -1

X = -1

Replace x in the equation and solve:

(-1) ^2 + 1 /(-1)^2

(-1)^2 = 1

Simplify to get 1 + 1/1 = 1+ 1 = 2

The answer = 2

ahhh help its PLATO
'la

Answers

Answer:

D

Step-by-step explanation:

To find the inverse of a function, first replace f(x) with y.

Next, switch all the x's and y's, and then solve for y.

Finally, replace y with f-1(x).

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

the formula is C=2√πA

so simplifying that would give us c=2(4π)

simplify again and we get c=8π

the sum of 43.9 and 4 groups of a number​

Answers

Answer:

10.975+10.975+10.975+10.975

Step-by-step explanation:

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