If the force is f=-30 units and the acceleration is a=6 units, find the mass, m

Answers

Answer 1

According to Newton's law:
Force = mass * acceleration
The force is given as -30 units (the negative sign only indicates the direction)
The acceleration is given as 6 units

Substitute is the above equation to get the mass as follows:
30 = 6*mass
mass = 30/6 = 5 units

Related Questions

Evaluate the expression below when x = -2. x2 − 8 x + 6

Answers

Solve for x over the real numbers:x = -2. x^2 - 8 x + 6
Hint: | Rewrite the right hand side of the equation.-2. x^2 - 8 x + 6 = -2 x^2 - 8 x + 6:x = -2 x^2 - 8 x + 6
Hint: | Move everything to the left hand side.Subtract -2 x^2 - 8 x + 6 from both sides:2 x^2 + 9 x - 6 = 0
Hint: | Write the quadratic equation in standard form.Divide both sides by 2:x^2 + (9 x)/2 - 3 = 0
Hint: | Solve the quadratic equation by completing the square.Add 3 to both sides:x^2 + (9 x)/2 = 3
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.Add 81/16 to both sides:x^2 + (9 x)/2 + 81/16 = 129/16
Hint: | Factor the left hand side.Write the left hand side as a square:(x + 9/4)^2 = 129/16
Hint: | Eliminate the exponent on the left hand side.Take the square root of both sides:x + 9/4 = sqrt(129)/4 or x + 9/4 = -sqrt(129)/4
Hint: | Look at the first equation: Solve for x.Subtract 9/4 from both sides:x = sqrt(129)/4 - 9/4 or x + 9/4 = -sqrt(129)/4
Hint: | Look at the second equation: Solve for x.Subtract 9/4 from both sides:Answer: x = sqrt(129)/4 - 9/4 or x = -9/4 - sqrt(129)/4

(-2)²-8(-2)+6=4+16+6=26.

PLS HELP! 20 POINTS AND BRAINLIEST!
25 POINTS!!!!!
In the figure below, lines m and n are parallel:

Two parallel lines are shown crossed by a transversal. The angles are labeled with number 1-8. The angles on line m where the line is crossed by the transversal are 1, 2, 3, and 4 in clockwise order from top left. The angles on line n where the line is crossed by the transversal are 5, 6, 7, and 8 in clockwise order from top left.

In the diagram shown, ∠7 measures 92 degrees. What is the measure of ∠8?

8 degrees
88 degrees
92 degrees
180 degrees

Answers

7 and 8 have to equal 180 degrees

180- 92 = 88

so angle 8 is 88 degrees

Answer:

The correct option is B) 88°.

Step-by-step explanation:

Consider the provided information.

Consider the figure 1,

m∠7=92°, then by using the property of liner pair angles, we have

m∠7 + m∠8 = 180° (Liner pair angles)

⇒m∠8 + 92° = 180°

⇒m∠8 = 180 - 92

⇒m∠8 = 88°

Therefore, the measure of m∠8 is 88°.

Hence, the correct option is B) 88°.

What is the greatest common factor of 49 and 84? 3 4 7 9

Answers

49: 1 7, 49
84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The GCF is 7

The answer is 7 since neither 49 nor 84 are divisible by 9

Suppose that 21 girls and 21 boys enter a mathemat- ics competition. furthermore, suppose that each entrant solves at most six questions, and for every boy-girl pair, there is at least one question that they both solved. show that there is a question that was solved by at least three girls and at least three boys.

Answers

Individuals shall draw a table consisting of 21 boys in each column and 21 girls in each row as shown on the image below.

The table will have 21x21 = 441 boxes. Mark each box with a letter showing the problem solved by both that boy and girl. Since at least one problem was solved by a girl and a boy, therefore each box will have a letter. Each entrant solved at most six questions, so there can be at most six letters in any row or column. This means six different letters can be there in a row only if at least 11 of the boxes contain letters appearing three or more times in the row. Individuals go through each row and color all the boxes, say blue. Therefore, 11 boxes in each row must be colored blue.

The number of the boxes that must be colored blue = 21 x 11 = 231. Individuals can apply the same process to the columns and color at least 231 boxes, say green. But the total boxes are 441 only. Therefore, by Pigeonhole principle, there will be some boxes which will be both blue and green. The problem of doubly colored boxes represents a problem solved by at least three boys and three girls.

The Pigeonhole Principle is used to show that there must be a question solved by at least three girls and three boys in a math competition with 21 girls and 21 boys.

To show that there is a question solved by at least three girls and three boys, we will use the Pigeonhole Principle.

We have 21 girls and 21 boys, each solving at most six questions.Let's assume no question is solved by at least three girls and three boys.The total number of questions solved would be at most 21 x 6 = 126, which is fewer than 21 x 2 + 21 x 2 = 84, a contradiction.Therefore, there must be a question solved by at least three girls and three boys.

what is an angle between a side of a polygon and the extension of its adjacent side

Answers

i would say that the angle would be an exterior angle because it's usually between the side of the polygon connected by a line as an extension of the adjacent side.

here's an example. hope it helps!

The angle between a side of a polygon and the extension of its adjacent side is the exterior angle at that vertex, forming a linear pair with the adjacent interior angle.

Angle between a side of a polygon and the extension of its adjacent side: When considering a polygon, the angle between a side and the extension of its adjacent side is equal to the exterior angle of the polygon at that vertex. This angle forms a linear pair with the adjacent interior angle of the polygon.

The sum of two integers is greater than 12. One integer is 10 less than the other. What are the values of the integers?

Answers

Let's set up an equation:

x plus y is greater than 12

x + y > 12

One of the integers is ten less than twice the other one

x = 2y -10

Time to start solving:

(2y-10) + y > 12
2y + y > 12 + 10
3y > 22
3y=24
y=8

Now its time to find the value of x:

x=2(8) - 10
x=16-10
x= 6

6 + 8 > 12, 6+8 is greater than twelve.

In conclusion we can wrap up that 6 and 8 are the least value integers.

How would you write 1+1 in distributive property

Answers

You would put it in as 1(1x1)

Hope this helps

What is the difference of (4-5y)-2(3.5y-8)?

Answers

20 - 12y Simplify parentheses: 4 - 5y - 7y + 16 Combine similar terms: 4 + 16 - 5y - 7y Simplify: 20 - 12y

What is the smallest natural number that has three distinct prime factors in its factorization?

Answers

It's 30. It's primary factors are : 2,3 and 5.

Joanne has 2a^3 number of animals. Ronnie has 3a^3 number of animals . Odessa has a^4 number of animals . How many animals do Joanne , Ronnie, and Odessa have altogether?

Answers

They have:

2a^3 + 3a^3 + a^4
= 5a^3 + a^4

Q equal 1/2 p plus 15 solve for p

Answers

If Q=(1/2)(P)+15, we can multiply both sides by 2 to get 2Q=2(P/2+15)=P+30. Next, we can subtract 30 from both sides to get 2Q-30=P

Kareem runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?

Answers

Use an equation of proportions to solve this problem.

x 44 min
-------- = ------------
6 mi 55 min

Reduce this to x/6 = 1/11. Then 11x = 6, and x = 11/6 miles, or 1 5/6 miles.

55x = 264 => 4.8 miles in 44 minutes.

The number of seats in the first row of a concert hall is 6. The second row has 9seats, the third row has 12 seats, and the fourth row has 15 seats. How many seats are in the eighth row?

Answers

Row eight would have 27 seats because each row adds 3 seats.

a girl is the same age if she takes 3/4 of her age +9 or 1/4 +21. what is her age?

Answers

let's say she's "x" years old.

[tex]\bf \stackrel{her~age}{\cfrac{3x}{4}+9}~~=~~\stackrel{her~age}{\cfrac{x}{4}+21}\impliedby \textit{now, let's multiply both sides by }\stackrel{LCD}{4} \\\\\\ \boxed{4}\cdot \cfrac{3x}{4}+\boxed{4}\cdot 9~~=~~\boxed{4}\cdot \cfrac{x}{4}+\boxed{4}\cdot 21\implies 3x+36=x+84 \\\\\\ 2x=48\implies x=\cfrac{48}{2}\implies x=24[/tex]

20. What percent of 392 is 98? 22. 33% of what number is 145? 24, 17 is 40% of what number?

Answers

20)

if we take 392 to be the 100%, what is 98 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 392&100\\ 98&p \end{array}\implies \cfrac{392}{98}=\cfrac{100}{p}\implies p=\cfrac{98\cdot 100}{392}[/tex]

22)

let's say is "x", so if "x" is the 100%, and we know that 145 is the 33%, what the dickens is "x"?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 145&33 \end{array}\implies \cfrac{x}{145}=\cfrac{100}{33}\implies x=\cfrac{145\cdot 100}{33}[/tex]

24)

again, if we take "x" to be the 100%, and we know that 17 is 40%, what is "x"?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 17&40 \end{array}\implies \cfrac{x}{17}=\cfrac{100}{40}\implies x=\cfrac{17\cdot 100}{40}[/tex]

A line passes through (2, −1) and (4, 5).

Which answer is the equation of the line?

Answers

y= 3x - 7
subract 5 by -1 which is 6 and divide that by 4-2 which is 2 so 6 divided by 2 is 3. then subtract the y value by 6 to get 0,-7

Hello, I am taking Quantitative methods for business, which has a lot of excel based mathematics and I was wondering if anyone could help. Here is the question:

Refer to the table that illustrates customer’s complaints about a manufacturing company.

A. What is the probability a customer complained during the guarantee period?

B. What is the probability that a customer complained about an electrical problem or a mechanical problem?

Table is included in attachment. Also Thank you!!!

Answers

Part A:

The probability that a customer complained during the guaranteed period is given by the number of costumers that complained during the guarantee period devided by the total number of students.

Therefore, the probability that a customer complained during the guaranteed period is [tex] \frac{1,890}{3,000} = \frac{63}{100} [/tex]

Part B:

The probability that a customer complained about an electrical problem or a mechanical problem is given by the sum of the probability that the customer complained about an electrical problem or the probability that the customer complained about a mechanical problem.

Therefore, the probability that a customer complained about an electrical problem or a mechanical problem is [tex] \frac{900}{3,000} + \frac{1,050}{3,000} = \frac{1,950}{3,000} = \frac{13}{20} [/tex]

Write the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).
A) y + 6 = -1(x – 5)
B) y – 6 = -1(x + 5)
C) y + 6 = 1(x – 5)
D) y – 6 = 1(x + 5)

Answers

The point slope form:
[tex]y - y_1 = m(x - x_1)[/tex]

We need to find the slope. To find the slope we can use the following formula:
[tex]\frac{y_2 - y_1}{x_2 - X_1}[/tex]

Use the points (-5, 6) and (0, 1) and plug it into our slope formula and solve:
[tex]\frac{1 - 6}{0 - (-5)}[/tex]
[tex]\frac{-5}{5} = -1[/tex]

So our slope is -1 which means m = slope = -1
Now that we have our slope lets create the point slope form

Our point slope form equation is [tex]y - y_1 = m(x - x_1)[/tex] Remember
m = slope = -1. Also, we are going to use the point (-5,6).

First insert the m = slope = -1 number where m is located
[tex]y - y_1 = -1(x - x_1)[/tex]

Next, insert the -5 from (-5,6) where [tex]x_1[/tex] is located and the 6 from (-5,6) where [tex]y_1[/tex] is located.
[tex]y - y_1 = -1(x - x_1)[/tex]
[tex]y - 6 = -1(x - (-5))[/tex]
Now simplify
[tex]y - 6 = -1(x - (-5))[/tex]
[tex]y - 6 = -1(x +5)[/tex] <-------Answer

The point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1) is [tex]$ \boxed{A) y + 6 = -1(x - 5)} $[/tex].

To find the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1), we first need to calculate the slope (m) using the formula:

[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]

Given points:

[tex]$(-5, 6)$ and $(0, 1)$[/tex]

Calculate the slope m:

[tex]\[ m = \frac{1 - 6}{0 - (-5)} = \frac{-5}{5} = -1 \][/tex]

Now that we have the slope m = -1, we can use the point-slope form of the equation of a line, which is:

[tex]\[ y - y_1 = m(x - x_1) \][/tex]

Choose one of the points, let's use [tex]$(-5, 6)$ as $(x_1, y_1)$[/tex]:

[tex]\[ y - 6 = -1(x + 5) \][/tex]

Now, simplify and compare with the given options:

[tex]\[ y - 6 = -1(x + 5) \][/tex]

So, the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1) is [tex]$ \boxed{A) y + 6 = -1(x - 5)} $[/tex].

How l can write a brief summary about measurement for 3rd grade

Answers

The topic "measurement" is very, very broad.
You'd be best off by limiting your scope to a couple of familiar situations:

Weighing a piece of chocolate

Having your height and weight measured by the school nurse

Counting the number of coins in your pocket

Getting a rough measure of how well you have learned new material by checking how many questions you got right out of the whole test.

In an eye color study, 25 out of 50 people in the sample had brown eyes. in this situation, what does the number .50 represent?

Answers

The total number of people in this expermiment.

Final answer:

The number .50 in the context of this question represents the proportion (or probability) of people in the sample who have brown eyes. It's calculated by dividing the count of individuals with brown eyes by the total number of individuals in the sample.

Explanation:

In this context, the number .50 represents the proportion or probability of people with brown eyes in the sample. This number is obtained by dividing the number of people with brown eyes (25) by the total number of people in the sample (50).

Hence, .50 means there is a 50% chance that a randomly selected person from the sample will have brown eyes. This is often used in the field of statistics where proportions are utilized to represent probabilities of outcomes.

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What does n equal in: -6(n+1) = 42 . Need help quickly. Thank you!

Answers

It is -7.83 because you distribute the -6 to the n and the 1 inside the parentheses which makes you get -6n-5=42. Since 5 is negative you add it to -5 and the 42 on the other side of the equation which turns out to -6n=47. You then divide -6 on both sides of the equation. -6n divided by -6 cancels out so 47 divided by -6 equals -7.83333333 which rounds to -7.8

Mr. Thomas purchased a car for $30,000. in 4 years the value of the car decreased to $22,000. Which integer represents the average net change in value per year?

Answers

The change in value over 4 years is
$22,000 - 30,000 = -$8,000

so the average change in value per year is
-8000/4 = -2000

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.)

452.16 cm3

840.54 cm3

1,055.04 cm3

1,456.96 cm3

Answers

Given:
Cylinder: height = 16 cm ; radius = 5 cm
cone: height = 12 cm ; radius = 4 cm

Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³

Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³

Cylinder: height = 16 cm ; radius = 5 cm
cone: height = 12 cm ; radius = 4 cm

Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³

Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³

Mr.chu is slicing 4 cantaloupes for his class.There are 24 students in class. If Me.Chu cut the cantaloupes to make an equal portion for each student , how much of a whole cantaloupe will each student get?

Answers

1/6 because 4/24 = 1/6

Final answer:

Each student will receive approximately 0.1667 parts of a whole cantaloupe when Mr. Chu evenly divides 4 cantaloupes among 24 students.

Explanation:

The subject of this problem is how to divide a quantity fairly between multiple recipients, also known as division. If Mr. Chu is slicing 4 cantaloupes and wants to divide them equally among 24 students, we need to find how much each student would receive.

This is solved by simply dividing the total quantity of cantaloupes by the number of students. So, 4 (whole cantaloupes) divided by 24 (students) equals 0.1667.

Therefore, each student will get approximately 0.1667 of a whole cantaloupe.

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At the beginning of a basketball season, the Panthers won 30 games out of 66 games. At this rate, how many games will they win in a normal 106-game season?

Answers

You would divide 66 by 30 which give you 2.2. Then you divide 106 by 2.2 which gives you an anwser of 48 games

There are 9 red and 6 green marbles in a bag. A child reaches in the bag and randomly takes one marble. What is the probability pf that child getting a green marble

Answers

2/5
The probability is the green over the total

Answer: The required probability that the child took a green marble is 40%.

Step-by-step explanation: Given that there are 9 red and 6 green marbles in a bag and a child reaches in the bag and randomly takes one marble.

We are to find the probability that the child took a green marble.

Let S denote the sample space of choosing a marble from the bag and A be the event of choosing a green marble.

Then,

n(S) = 9 + 6 = 15 and n(A) = 6.

Therefore, the probability of event A will be

[tex]P(A)=\dfrac{n(A)}{n(S)}=\dfrac{6}{15}=\dfrac{2}{5}\times 100\%=40\%.[/tex]

Thus, the required probability that the child took a green marble is 40%.

Sara bought two pounds of strawberries for $5.12. What is price in dollars per ounce of strawberries 1 pound =16 ounces

Answers

Sara paid .16 per ounce of strawberrys...

What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?

Answers

A quick way to solve this problem involves copying the given equation:

2x + 5y = 10

dropping the final 10, and
substituting the given x and y values: (5, -4).

Then:

2(5) + 5(-4) = C C = 10-20 = -10

Thus, the equation of this new, parallel line is 2x + 5y = -10.

The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

The equation of a straight line is given by:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The slope of the line 2x + 5y = 10 is:

2x + 5y = 10

5y = -2x + 10

y = -2/5x + 10

Hence the slope of the line 2x + 5y = 10 is -2/5

Since both lines are parallel, hence the slope of the other line is the same (-2/5). Hence the equation of the line is:

[tex]y-y_1=m(x-x_1)\\\\y-(-4)=-\frac{2}{5} (x-5)\\\\y+4=-\frac{2}{5} x+2\\\\y=-\frac{2}{5} x-2[/tex]

The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

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If (7^2)x = 1, what is the value of x? Explain your answer.
If (7^0)x = 1, what are the possible values of x? Explain your answer.

Answers

(7^2)x = 1

7^2 = 49

49x = 1

x = 1/49

(7^0)x=1

7^0 = 1 (anything raised to 0 = 1)

1x = 1

x = 1

Find the critical points of the function. (enter your answers as a comma-separated list.) g(x) = 4 − x2

Answers

Please use "^" to denote exponentiation: g(x) = 4 - x^2.

To find the critical point, differentiate g(x), set the result = to 0, and solve for x:

g '(x) = -2x = 0. Then x = 0 is the only critical value in this case.

The graph of g(x) is a vertical parabola opening down, and the horizontal tangent line is y = 4.

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