Mathematics College

The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object’s mass?

F = 16.1m
F =
F = 32.2m
F =

Answers

Answer 1

F = 32.2m

Explanation:

The equation that represents the force on an object due to gravity is

[tex]F=mg[/tex]

where

m is the mass of the object

g is the acceleration due to gravity

In this problem, the acceleration due to gravity is [tex]g=32.2 ft[/tex], so if we substitute this value into the previous equation, we obtain

[tex]F=m(32.2)=32.2 m[/tex]

Answer 2

Answer:  Third option is correct.

Step-by-step explanation:

Since we have given that

Constant of variation due to gravity = 32.2 feet per sec².

As we know that "The fore of gravity on an object varies with its mass".

So, According to statement,

[tex]F=mg\\\\\text{ here, m denotes object's mass and g denotes gravity }\\\\\text{ F denotes the force on an object due to gravity according to m}[/tex]

Substituting the value of g , we get,

[tex]F=32.2m[/tex]

Hence, Third option is correct.

Related Questions

Equivalent decimal for 67/100

Answers

134/200 is a equivalent fraction
The equivalent decimal would just be 0.67.

So since 100/100 = 1.00, then 67/100 would have to be 0.67.

Alma is solving the equation 4a-5=2a-3 Circle her mistake and correct it.

4a-5=2a-3
4a-2a-5=3
2a-5=3
2a=8

Answers

he changed the sign of the 3 on the second row sot its 4a-2a-5=(-3)
2a-5=-3
2a=2
a=1

Answer:

The mistake is the sing of the "3" on the second term.

a=1

Step-by-step explanation:

The mistake was changing the sing of the second term in the first step. You could found it highlighted below.

4a-5=2a-3

4a-2a-5=3  ( the correct expression will be 4a-2a-5=-3)

2a-5=3

2a=8

So ,  the correct answer is

4a-2a-5=-3

2a=5-3

2a=2

a=1

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of π.)

A.452.16 cm3

B.840.54 cm3

C.1,055.04 cm3

D.1,456.96 cm3

Answers

Ok so the end equation here is going to be VCy-VCo=
air space. So we need to find the volume of the cone and the volume of the cylinder.

Lets start with the volume of the cylinder since its easiest. The volume of a cylinder is Pi*r^2*h = Volume.
We already know that the radius is 5 and the height is 16 so lets plug them in and solve. 3.14*5^2*16=1,256

Now lets solve to find the volume of the cone. Now this ones a bit harder, the equation is: Pi*r^2*(h/3)= Volume.
The radius is 4 and the height is 12, so now just solve! 3.14*4^2*(12/3)=201

Now we just need to subtract the Volume of the cylinder from the volume of the cone. 1,256-201=1,055

If you have any questions just ask!

find the midpoint of (3,8) and (-5,-1)

Answers

You just average the x and y. So for x it is (3+-5)/2 = -1 and for y it is (8+-1)/2=3.5.

The midpoint is (-1,3.5). See picture for a graphical explanation.

a driveway is 40 yards long. About how many meters long is it

Answers

40 yards is 37 meters(rounding up)

Answer:


Step-by-step explanation:


A popular brand of running shoes costs a local store $68 for each pair. If the store sells the shoes for $119, what is the percent of increase for the price?

Answers

Answer:

51/68 * 100

.75 * 100

75%

.


Step-by-step explanation:

That is, there was a 75% increase in the price


there was a 75% increase in the price.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

here, given that,

A popular brand of running shoes costs a local store $68 for each pair.

If the store sells the shoes for $119

i.e. increase = $51

so, the percent of increase for the price

=51/68 * 100

=.75 * 100

=75%

That is, there was a 75% increase in the price

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Audryn left a $12 tip on a $68.73 restaurant bill. What percent tip did she leave? Round to the nearest tenth of a percent.

Answers

so, if we take 68.73 to be the 100%, what is 12 in percentage off of it?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 68.73&100\\ 12&p \end{array}\implies \cfrac{68.73}{12}=\cfrac{100}{p}\implies p=\cfrac{12\cdot 100}{68.73}[/tex]

seems Audryn is being generous, she probably got the silverware and the maple leaves tablecloth.

Graphing equations (Algebra 2)

Answers

Th equation is in slope intercept form, so the slope must be 7 and the y intercept must be -2.

It cannot be B or C since those slopes are negative.
D is incorrect because the slope is not steep enough (-7 in y per increment of 1 in the x value is what we want)

Final answer: A

What is the mean and median for the length of 20.3 12.5 7.6 13.9 9.2 21.7 7.6 17.5 15.6 14.1

Answers

first list numbers in order
  7.6
  7.6
  9.2
12.5
13.9
14.1
15.6
17.5
20.3
21.7

find mean (the average number of all numbers listed) by adding everything(140) then dividing how many numbers there are(10):
140 divided by 10=14
mean=14

find median (literally the middle number in the set given):
but since there's two middle numbers (13.9 & 14.1), we find the mean (aka the average) of those numbers
28 divided by 2=14
median=14
Answer:

Mean = 14

and Median = 14

Step-by-step explanation:

We are given a data set as:

  20.3   12.5   7.6   13.9   9.2   21.7   7.6   17.5   15.6   14.1

there are a total of 10 data points.

Now, the mean of these data points is the average of the data set.

i.e.

[tex]\text{Mean}=\dfrac{\text{Sum of data points}}{\text{Number of data points}}[/tex]

i.e.

[tex]\text{Mean}=\dfrac{20.3+12.5+7.6+13.9+9.2+21.7+7.6+17.5+15.6+14.1}{10}\\\\\text{Mean}=\dfrac{140}{10}\\\\\text{Mean}=14[/tex]

We know that median is the central tendency of the data and it always exist in the middle of the data set.

Firstly we arrange the data points in the increasing order as follows:

7.6    7.6    9.2    12.5  13.9    14.1   15.6    17.5    20.3    21.7  

Now, we know that the median of the data exist in between 13.9 and 14.1

i.e.

[tex]\text{Median}=\dfrac{13.9+14.1}{2}\\\\\text{Median}=\dfrac{28}{2}\\\\\text{Median}=14[/tex]

A social security number consists of nine digits in a particular​ order, and repetition of digits is allowed. after seeing the last four digits printed on a​ receipt, if you randomly select the other​ digits, what is the probability of getting the correct social security number of the person who was given the​ receipt?

what is the formula?

Answers

You have to guess the first 5 digits.

You can calcualte the number of possible numbers that exist with 5 digits.

The first digit cannot be 0, it can be any from 1 to 9, so those are 9 diferent digits.

For the second, third, fourth and fifth digits there are 10 diferent posibilities for each: 0 through 9.

Then, there are 9*10*10*10*10 = 90,000 different possible social security numbers once the last four digits are known.

And the probability to get the correct social security number of the person is 1 /90,000 = 0,000011.

In one U.S. city, the taxi cost is $2 plus $0.90 per mile. If you are traveling from the airport, there is an additional charge of $3.00 for tolls. How far can you travel from the airport by taxi for $18.50

Answers

you can tralvel 15 miles with $18.50.
Working backwards:

The total paid is $18.50.  This includes an up-front charge of $2.  There's a charge of $0.90 for every mile traveled.  And there's another charge of $3 for tolls.  Add together the $2 and $3 (obtaining $5) and subtract this sum from the total:  

$18.50
-   5.00
----------
$13.00

So the mileage charge is $13, and must be ($0.90/mile)(x miles)

Divide both sides of this equation by $0.90 to obtain x, the max distance you can travel in this cab for $18.50.

One person can do a certain job in six days, a second person can do the same job in two days, and a third person can do this job in three days. How many days will they take to do the job together?
A. 1 day
B. 2 days
C. 6 days

Answers

Let the three person be represented by X, Y and Z.
X can do 1/6 of the job in 1 day
Y can do 1/2 of the job in 1 day and 
Z can do 1/3 of the job in 1 day
Together, these 3 people will do: 1/6 + 1/2 + 1/3 = 1 of the job in one day
Thus, the three people will do the job in one day.
The correct option is A

simplify 6/5 plus 10.35

Answers

6/5 = 1 1/5 or 1.20

1.20 + 10.35 = 11.55

hope this helps

if you want fraction

6/5 + 10.35

6/5 + 10 35/100

120/100 + 10 35/100

10 155/100

11 55/100 is your answer

hope this helps
6/5+10.35=12/10+10 35/100=120/100+10 35/100=1 20/100+10 35/100=11 55/100

use the formula P=2l+2w to find the length l of a rectangular lot if the width w is 45 feet and the perimeter P is 240 feet

Answers

240=2l+2(45) solve for l 
240=2l+90   240-90=150/2=75

A pail holds 5 1/2 gallons of water. How much is this in cups? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Answers

1 gallon = 16 cups

so 5 1/2 gallons =
5 1/2 * 16 =
11/2 * 16 =
176/2 =
88 cups <==
Final answer:

5 1/2 gallons of water is equivalent to 88 cups of water. This is calculated by understanding that one gallon equals 16 cups, and therefore multiplying 5.5 (5 1/2 in decimal form) by 16.

Explanation:

The subject of this question is a simple conversion in mathematics. To make this conversion, we need to understand the basic relationship between gallons and cups. In U.S. standard measurements, one gallon is equivalent to 16 cups. So, if we have 5 1/2 gallons, we would multiply this by 16 to get the equivalent number of cups. Hence, 5.5 (which is 5 1/2 in decimal form) multiplied by 16 equals 88. So, 5 1/2 gallons of water is equivalent to 88 cups of water.

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Nia is 3 years younger than Jordan. Jordan is 36 years old.


After correctly carrying out the Solve step of the five-step problem-solving plan, which solution should you arrive at to find Nia’s age?





30
33
36
39

Answers

Well it's 33. The 5 step problem thing I'm not to sure of.

Answer:

B. 33 years.

Step-by-step explanation:

Let N represent Nia's age in years.

We have been given that Nia is 3 years younger than Jordan. So Jordan's age would be 3 years more than Nia's age that is [tex]N+3[/tex] years.

We are told that Jordan is 36 years old.  We can represent this information in an equation as:

[tex]N+3=36[/tex]

[tex]N+3-3=36-3[/tex]

[tex]N=33[/tex]

Therefore, Nia's age is 33 years.

. Complete. y2 + 15y + 56 = (y + 7)(y +)

Answers

in this equation when it says y2 do you mean 2y or no

y^2 + 15y + 56 = (y + 7)(y + 8)

hope it helps

The container that holds the water of the football team is 2/5 full after pouring in 6 gallons of water it is 7/10 full how many gallons can a container hold

Answers

so the container was 2/5 full, then you dump in it 6 gallons and it went up to 7/10 full.

alrite, let's say the container can hold "x" gallons.

[tex]\bf \cfrac{2}{5}x+\cfrac{7}{10}x=6\implies \cfrac{(2\cdot 2)x+7x}{10}=6\implies \cfrac{4x+7x}{10}=6 \\\\\\ \cfrac{11x}{10}=6\implies 11x=60\implies x=\cfrac{60}{11}\implies x=5\frac{5}{11}[/tex]

Which expression shows how 8⋅54 can be rewritten using the distributive property

Answers

Final answer:

The expression 8⋅54 can be rewritten as 8⋅(50 + 4) using the distributive property. This mathematical property allows us to break down the sum and perform the multiplication individually.

Explanation:

The expression 8⋅54 can be rewritten using the distributive property in mathematics as 8⋅(50 + 4). This property allows you to multiply a sum by breaking it into two parts - in this case, 54 is broken down into 50 and 4. The multiplication is then performed on both these parts separately. When using the distributive property, we follow the steps:

1. Identify the number to be distributed, in this case, it's 8.

2. Break down the other number into two simpler components we can easily multiply with, like 50 and 4 for 54.

3. Multiply the distributing number with each of these parts separately. That gives us: 8⋅50 and 8⋅4.

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HELP ASAP, WILL GIVE BRAINLIEST:

Given two angles that measure 50 degrees and 80 degrees and a side that measures 4 feet, how many triangles, if any, can be constructed?

Answers

Can 2 sides be 4 feet because given those angles you'd have to make an isosceles triangle (where 2 sides are the same length). If so, id say 2 triangles because the 4 ft side could be one of the congruent sides or the base side. If you cant use it for 2 sides, just 1 triangle can be made
Angle 1 = 50°

Angle 2 = 80°

Angle 3 = x°

The sum of the interior angles of a triangle is 180°

50 + 80 + x = 180

130 + x = 180

x = 180 - 130

x = 50°

Hence, angle 3 = 50°.

Now, we see that two angles of the triangle are equal, hence, the triangle that will form will be an isosceles triangle.

An isosceles triangle has two equal sides whose opposite angles are equal.

So, there could be a chance that two sides of the triangle are 4 ft in length.

A neon atom has 10 protons and 10 electrons. The 10 protons have a charge of +10 and the 10 electrons have a charge of −10 . No other particles in the atom have a charge. What is the sum of the charges in the neon atom?

Answers

Answer:

look at the screenshots below! all correct test answers!

Step-by-step explanation:

The sum of the charges in the neon atom is 0 if the neon atom has 10 protons and 10 electrons and the 10 protons have a charge of +10 and the 10 electrons have a charge of −10.

What is a number line?

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

It is given that:

A neon atom has 10 protons and 10 electrons. The 10 protons have a charge of +10 and the 10 electrons have a charge of −10.

No other particles in the atom have a charge.

Total charge:

= sum of the charge on the electron + sum of the charge of the protons

As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

Total charge = +10 + (-10)

Total charge = +10 -10

Total charge = 0

If we plot the above situation on a number line we will get the total charge is zero.

Thus, the sum of the charges in the neon atom is 0 if the neon atom has 10 protons and 10 electrons and the 10 protons have a charge of +10 and the 10 electrons have a charge of −10.

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what is 350 increased by 7%

Answers

524.5

1) convert 7% into a decimal by divinding 7 by 100 

7 / 100 = 0.07

multiply that number by 350

350 x 0.07 = 24.5

3) add that number to 350

350 + 24.5 =

174.5

350+174.5= 524.5

1) 7/100= 0.07
2) Multiply that number by 350
359x0.07=24.5
3) Add that number to 350
350+24.5=374.5

The weight of a small bag of sugar is 2.265 kg. the student is baking cakes for a college scholarship fundraiser. it takes 100 grams of sugar to make one small cake. how many cakes can be made from a single bag of sugar?

Answers

2.265 KG = 2265 grams/100 = 22.65 cakes

The total batches of cupcakes that make with one small bag of sugar would be 22 batches.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

From the question, we are given the following

The t of a small bag of sugar = 2.265 kg = 2265 grams

100g of sugar to make one batch of cupcakes,

100g = 1 batch ---- 1

In order to get the number of batches of cupcakes made with one small bag of sugar,

2265g =  x ---- 2

Divide both expressions;

100/2265 = 1/x

100x = 2265

x = 2265/100

x = 22.65 batches

Hence, the batches of cupcakes that make with one small bag of sugar would be 22 batches.

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are two negative integers always sometimes or never positive explain your reasoning

Answers

Final answer:

Multiplying two negative integers always results in a positive integer because the negatives cancel each other out.

Explanation:

When you multiply two negative integers, the result will always be a positive integer. Each negative sign cancels the other out, leading to a positive product. For example, if you take two negative integers such as -2 and -3, when you multiply them (-2) x (-3), you obtain 6, which is a positive integer. This is a consistent rule in mathematics, so whenever you multiply two negatives, you can expect the result to be positive.

What is 428,731 - 175,842 =

Estimate the answer

Answers

428,731 - 175,842 = 252,889

But if your trying to estimate it,  it would be 300, 000
the answer is 300000.
Hope this helps :)

One day, after shopping at a department store, Lenny discovered that he only havd $13 left in his wallet. He had entered the store with $81 in his wallet. Which of the equations below could be used to fined out how much money Lenny spent(x)? A. 81-x=13. B.81+13=x. C.x+81=13. D.x-81=13

Answers

A is the correct answer

Tasha has 12 minutes. She wants to jump rope for 8 minutes and play tag for 5 minutes will tasha have enough time

Answers

No She will not because 8+5=13 minutes

Tasha does not have enough time to play both the games.

Given that, Tasha has 12 minutes. She wants to jump rope for 8 minutes and play tag for 5 minutes.

What is comparison of numbers?

Comparing numbers in math is defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to their values.

Now, number of minutes Tasha wants to jump the rope = 8 minutes and play tag = 5 minutes

So, total time = 8+5 =13 minutes

Here, 12 minutes < 13 minutes

Therefore, Tasha does not have enough time to play both the games.

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0.27 reapeating as a decimal

Answers

That would be 0.272727272727272727
In fraction form = 3/11
0.27272727272727272727272727... etc

hope this helps

A dataset shows that, on average, smokers do not live as long as nonsmokers and heavy smokers do not live as long as light smokers. if you compute the least squares line for y = age at time of death and x = number of packets per day typically smoked, then the slope of your regression line

Answers

Given that A dataset shows that, on average, smokers do not live as long as nonsmokers and heavy smokers do not live as long as light smokers.

If you compute the least squares line for y = age at time of death and x = number of packets per day typically smoked, you will notice that as the number of packets per day a person smokes increases, the age at time of death of the person decreases.

Thus, the graph wil have a negative slope.

Therefore, the slope of your regression line will be less than 0.

Drake lives 7/8 mile from the park. After walking 2/3 of the way to the park, he met Scott. How far had Drake walked when he met Scott?

Answers

so this problem just wants us to find 2/3 of 7/8

'of' means multiply
so 2/3 of 7/8 just means 2/3 times 7/8

remember
[tex]\frac{a}{b}[/tex] times [tex]\frac{c}{d}[/tex] equals [tex]\frac{ac}{bd}[/tex]


so
[tex]\frac{2}{3}[/tex] times [tex]\frac{7}{8}[/tex] equals [tex]\frac{(2)(7)}{(3)(8)}=\frac{14}{24}=\frac{7}{12}[/tex]

drake walked 7/12 miles

To find the distance Drake walked, calculate 2/3 of 7/8 mile, which results in 14/24, and simplify this fraction to 7/12 mile. Therefore, Drake walked 7/12 mile when he met Scott.

Drake lives 7/8 mile from the park. To find out how far he walked when he met Scott after walking 2/3 of the way to the park, you need to calculate 2/3 of 7/8 mile. The calculation is as follows:

Distance walked = (2/3) * (7/8)

First, multiply the numerators together: 2 * 7 = 14.

Then, multiply the denominators together: 3 * 8 = 24.

Now, put it together:
Distance walked = 14/24

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2.

So, 14 / 2 = 7 and 24 / 2 = 12.

Therefore, the simplified fraction is 7/12 mile.

Drake walked 7/12 mile when he met Scott.

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Write three complete Spanish sentences describing Marisas house in Cuba. Write three complete Spanish sentences describing your own home.Write four complete Spanish sentences describing the differences between Marisas house and your own home. Is 0.09 greater than 0.7 Plants produce oxygen when they photosynthesize. where does the oxygen come from? Find the range of the graphed function? 26-38+(-3) what is the answer. Which answer best expresses the effect of britain passing the tea act of 1773? the first shots of the american revolution are fired, and war between the colonies and britain begins. the sons of liberty protest by dumping tea into boston harbor, which becomes known as the boston tea party. samuel adams and the sons of liberty call this the boston massacre to gain colonial support against the british. delegates meet at the first continental congress and demand that britain repeal the coercive (intolerable) acts? which statement best explains why a carbon atom can bond with itself easilyit is an organic element it is an ion it forms hydrogen bonds it has four valence electrons The endpoints of line segment RS are R(-2,-1), and S (2,3). Find the coordinates of the midpoint of line segment RS. A kind of sedimentary rock formed from plant material over a long period of time is __________. What is the value of x? 6 + 8x -------------- = 5x 2A) -2B) -1C) 1/3D) 3 The sum of three consecutive even integers is 72. Let x represent the first integer, x + 2 represent the second integer, and x + 4 represent the third integer.Which equation can be used to find the first integer?3x + 72 = 2x + 62x + 64 = 723x = 2x + 63x + 6 = 72 470,809 mi express in an integer A ball is dropped from a height of 10 meters how long was the ball in the air and what is the speed when it hits the ground A student pulls a rope attached to a box of books and moves the box down the hall. The student pulls with a force of 175N at an angle of 25.0 above the horizontal. The box has a mass of 35.0 kg and the coefficient of kinetic friction between the box and the floor is 0.280. Find the acceleration of the box. 1.65 m/s 2.38 m/s 3.72 m/s 9.37 m/s Four forces act on a hot air balloon as shown below. Find the magnitude and direction of the resultant force on the balloon. Show your work and explain your answer Considering various parts of colonial lifecities and farms, citizen's rights, crime and punishment, social class, education, and african american lifehow does each compare with life in america today? How might you reasonably challenge the way the professor reached her conclusion? what is the function of a ribosome any pair of chromosomes other than the sex chromosomes what was the label given to Oklahoma territory in the east? a. the land of plenty b.no man's land. c.the great American desert d.indian country When jumping, a flea accelerates at an astounding 1500 m/s2 , but over only the very short distance of 0.41 mm ? Steam Workshop Downloader