What are the domain and range of this relation? pt2

What Are The Domain And Range Of This Relation? Pt2

Answers

Answer 1

Answer:

Domain: { -5, -1, 1, 3, 4}
Range: { -2, 1, 5}

Step-by-step explanation:
Domain = X-Values

Range = Y-Values

Every possible X-Value is the domain, and likewise with the Range.

Meaning if it was a line that went on forever through Y-1 the the Domain would be X = {-[infinity], +[infinity]} and the range would be Y = {1}

Hope this helps.


Related Questions

200-80/1 or (as shown on the sheet)

200-80
------------
1​

Answers

Answer:

120

Step-by-step explanation:

200 - 80 = 120

so 120 / 1 = 120

Answer:

200-80/1 which means (200-80) divided by 1

200 and 80 is in bracket so we solve it first:

200-80=120

now 120/1= 120

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What is the contrapositive of the following statement?

"If it does not have four legs, then it is a fish."

If it is a fish, then it does not have four legs.
If it has four legs, then it is not a fish.
If it is not a fish, then it has four legs.
If it does not have four legs, then it is not a fish.

Answers

Answer:

The answer is "If it does not have four legs, then an animal is not a fish

To form the contrapositive, switch the hypothesis and the conclusion and negate both.

The hypothesis is the "if" part and the conclusion is the "then" part.

Answer:

If it is not a fish, then it has four legs.

Step-by-step explanation:

If A  then  B

the contrapositive of this is

If Not B then not A.

The diagonal of a triangle measures 18.2 inches. The width is 6.7 inches. What is the perimeter of the rectangle? (This has to do with Pythagorean Theorem)

Answers

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{18.2}\\ a=\stackrel{adjacent}{6.7}\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{18.2^2 - 6.7^2}=b\implies \sqrt{286.35}=b\implies 16.92\approx b[/tex]

Write an equation of a line parallel to y = 2x - 1 that passes through the point (-3, 1)

Answers

The equation of the parallel line to y = 2x - 1, that passes through (-3, 1) is: y = 2x + 7.

How to Write the Equation of Parallel Lines?

Two lines that are parallel to each other would always have the same slope (m). In the slope-intercept form of the equation that represents a line, y = mx + b, the slope of the line is represented as "m", while the y-intercept is represented as b.

Given:

A point (-3, 1)

Equation, y = 2x - 1. The slope (m) = 2. Since parallel lines have the same slope (m), therefore, the line that passes through (-3, 1) also have a slope (m) = 2.

Substitute (x, y) = (-3, 1) and m = 2 into y = mx + b:

1 = 2(-3) + b

1 = -6 + b

1 + 6 = b

b = 7

To write the equation of the parallel line to y = 2x - 1, substitute m = 2 and b = 7 into y = mx + b:

y = 2x + 7.

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Find the area of the following polygon if AB= 12 cm, AC = 2.4 cm, CE = 6 cm, AD 4.8 cm, CF = GE = 3.6 cm, DH = 2.4 cm. =​

Answers

Answer:

50.40 cm2

Step-by-step explanation:

Area of the polygon AFGBH = Area of ∆ACF + Area of rectangle FCEG + Area of ∆GEB + Area of ∆ABH

= 3.6 cm2 + 4.32 cm2 + 21.6 cm2 + 6.48 cm2 + 14.4 cm2

= 50.40 cm2

Hence, the required area = 50.40 cm2.

solve g(x) = "-x^2" "-7" when x=-3

Answers

Solution of the given function g(x) = "-x^2" "-7" when x=-3  = 2.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

A function called g is defined by the notation y=g(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or g(x).

Given function

g(x) = -x² -7When x = -3

Whenever you're given a function, you simply plug in the x  value you're given and then calculate the result.

g(-3) =(-3²) - 7

g(-3) =(9) - 7

g(-3) =9 - 7

g(-3) =2

Hence, When x=-3 = 2, the given function g(x) has a solution of "-x2" "-7."

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Identify the vertex, min/max values, and x-
intercepts. Then graph.
y=x²-1

Answers

x-intercepts; plug in 0 for y and then solve

0 = x^2 - 1

1 = x^2; x = -1 & x = 1

vertex; (0,-1); the only translation was the point was moved down one unit

min/max; the graph does not have a max because it is a positive graph w/ positive infinity. The minimum would be (0,-1), the lowest point.

! For graphing I recommend using desmos.

Are 36²y²-25y and 11x²y² equivalent?​

Answers

Answer: No both equations dont have x

Step-by-step explanation:

haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. the total cost of haley’s monthly cell phone bill can be expressed by the function c(m)

Answers

1) Find the rate of growth.

0.05

Add x to represent the minute

0.05x

2) Find the starting value


20

3) Make the equation

c(m) = 0.05x + 20

In a large population, 56% of the people have been vaccinated. If 5 people are randomly selected, what is the probability that at least one of them has been vaccinated?

Answers

The likelihood that someone has received a vaccination equals one minus the likelihood that no one has. The likelihood that a randomly chosen individual in a large population IS NOT immunized = 1 - 0.54 = 0.46.

The likelihood that the three randomly chosen individuals are not all immunized is 0.463, hence the likelihood that at least one of them has been immunized is 1 - 0.463.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

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maths question photo attached

Answers

The exact area of the shaded region is: (2 - √6)/8 cm².

What is the Area of a Triangle?

The area of a triangle = 1/2(base)(height).

The area of the shaded region = area of triangle ABD - area of triangle ACD.

Area of triangle ABD:

Base of triangle ABD = AD = √2/2

Height of triangle ABD = BD = √2/2

Area of triangle ABD = 1/2(√2/2)(√2/2)

Area of triangle ABD = 2/8 = 1/4 cm²

Area of triangle ACD:

Base of triangle ACD = AD = √2/2

Height of triangle ACD = CD = √3/2

Area of triangle ACD = 1/2(√2/2)(√3/2)

Area of triangle ACD = √6/8 cm²

Area of the shaded region = 1/4 - √6/8

Area of the shaded region = (2 - √6)/8 cm²

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Find the circumference of a circle with
diameter, d = 7.65m.
Give your answer rounded to 2 DP.

Answers

Answer:

24.03

Step-by-step explanation:

We know  that the formula is pie squared times radius but the radius is half of the diameter but you can also do pie times diameter and get the same answer.

Four friends go to a theater and sit in a row. What is the probability that two of them, Nathan and Violetta, are NOT neighbors?

Answers

Answer: 3/4 im pretty sure

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation:

When Violetta goes first, their are 4/24 possibilities. Same for Nathan.

The rest are just both 2/24 possibilities. Therefore, the answer is 1/2.

|9-5| - |5-9|
A. -8
B. -6
C. -4
D. 0
E. 8

Answers

When calculating the modulus of a negative number, the minus sign is disregarded. The expression of |9-5| - |5-9| exists 0.

What is meant by the modulus function?

A modulus function is a function that determines a number or variable's absolute value. It generates the size of the variable count. A function with absolute values is another name for it. No matter what input was provided to this function, the outcome is always favorable.

When calculating the modulus of a negative number, the minus sign is disregarded. The modulus of a number is denoted by writing vertical lines around the number.

Let the expression be |9-5| - |5-9|

Subtracting the numbers, we get

|9-5| - |5-9| = |4| - |-4|

simplifying the above expression, we get

= 4 - 4

= 0

Therefore, the correct answer is option D. 0.

The complete question is:

Simplify |9-5| - |5-9|

A. -8

B. -6

C. -4

D. 0

E. 8

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One of the humpback whales in a pod has a maximum speed of 690 meters per minute. If
the whale is swimming south at one-third of its top speed, how far will the whale travel in
4 minutes?
Write your answer as a whole number.

Answers

690 ÷ 3 = 230

230 × 4 = 960

a whale will go 960 meters

solve for p
4 (p - 9) < -12

Answers

4(p−9)<−12

Divide both sides by 4. Since 4 is >0, the direction of inequality remains the same.

[tex]\boldsymbol{\sf{p-9 < \dfrac{-12}{4} }}[/tex]

Divide −12 by 4 to get −3.

p - 9 < -3

Add 9 to both sides.

p < -3 + 9

Add −3 and 9 to get 6.

p < 6

Please help now

Joy buys a shirt using a coupon for 75% off one item. She pays only $15.00 for a shirt. How much
did the shirt cost originally?

Answers

Answer:

$60.00

Step-by-step explanation:

15 is 25% of a number. 25 times 4 equals 100. so 15 times four is 60, making 60 the 100%

Answer:  $60

Work Shown:

x = original price

75% of x = 0.75x = amount saved

x - 0.75x = 0.25x = final price after discount = 15

0.25x = 15

x = 15/0.25

x = 60

1/9 times blank equals 4/27

Answers

The correct value in the blank of the statement "1/9 times blank equals 4/27" is; 4/3

How to divide fractions?

We are given the expression that 1/9 times blank equals 4/27.

Let the missing term be identified as y. Thus, we have;

1/9 * y = 4/27

In Mathematics, the reciprocal of any quantity is, one divided by that quantity. For any number 'b', the reciprocal will be 1/b. If the given number is multiplied by its reciprocal, we get the value 1.

To get the missing value y, we will use multiplication property of equality to multiply both sides by 9 to get;

1/9 * y * 9 = 4/27 * 9

y = 4/27 * 9

y = 4/3

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If f(x) = 2x² +3 and g(x)=x2-7, find (f- g)(x)


A. 3x²2²-10
B. x² + 10
C. x²-4
D. 3x²2²-4

APEX FUNCTIONS PLEASE HELP​

Answers

Answer: D

Step-by-step explanation:

2 In (x - 5) = In (x + 10) + In 4

Answers

answer:

the solution is: x = 15

5:2:11=___:6____
Can you please help me I am stuck

Answers

15:6:33

if you go from 2 to 6, that’s been multiplied by 3, so you now need to times the other numbers by 3

Two security cameras are positioned on the ceiling of a gym 10 m apart. When camera has an angle of depression of 50° to a point on the floor and the other camera has an angle of depression of 60° to the same point calculate the height of the gym.

Answers

When camera has an angle of depression of 50° to a point on the floor and the other camera has an angle of depression of 60° to the same point calculate the height of the gym, the height of gym is 7.05 m

What is angle of depression?

When the observer is above the object they are looking at, an angle of depression is created. An angle below the horizontal line drawn with the level of the observer's eye and the line connecting the object with the observer's eye is created when an observer looks at an object that is placed at a distance lower than the observer.

Lets name the points on the triangles as A, B ,C

m∠ABC = 180° - 60° + 50°

             = 70°

Now, the sine theorem defines

[tex]\frac{AB}{sin50\textdegree}[/tex] = [tex]\frac{AC}{sin70\textdegree}[/tex] = [tex]\frac{10}{sin70\textdegree}[/tex]

AB = 8.15 meters

Now using the area of triangle formula

area∠ABC = 1/2 × AB × AC × sin∠BAC = 1/2 × h × AC

⇒ 1/2 × 8.15 × 10 × √3/2 = 1/2 × h × 10

⇒ 8.15 × √3/2 = h

⇒ h = 7.05

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6. What is the solution set of the inequality below? *х-x + 2>-72O x5-82O x2-8O x2-9/2O X28

Answers

[tex]\frac{x+2}{2}\ge-7-\frac{x}{2}[/tex]

Multiply both sides by 2:

[tex]x+2\ge-14-x[/tex]

Add x to both sides:

[tex]2x+2\ge-14[/tex]

Subtract 2 from both sides:

[tex]2x\ge-16[/tex]

Divide both sides by 2:

[tex]\begin{gathered} x\ge-\frac{16}{2} \\ x\ge-8 \\ \end{gathered}[/tex]

Answer:

[tex]x\ge-8[/tex]

between 1/4 aand 9/2 which fraction is greater


Answers

Answer: the answer is 9/2

.Higher Order Thinking Ari walked 22 miles
at a constant speed of 2 miles per hour. Beth
walked 1 miles at a constant speed of
1 miles per hour. Cindy walked for 1 hour
and 21 minutes at a constant speed of
1 miles per hour. List the three people in order
of the times they spent walking from least time
to greatest time.

Answers

The three people in order of the times they spent walking from least time to greatest time is Beth < Cindy < Ari .

In the question ,

it is given that

Ari walked a distance of 22 miles with speed of 2 miles per hour .

Beth walked a distance of 1 mile with the speed of 1 mile per hour.

Cindy walked for the time 1 hour and 21 minutes .

converting 21 minutes to hours , we get

= 1 hr 21 min

= 1+21/60

= 27/20

= 1.35 hours     ....(i)

time required for Ari to walk 22 miles with speed of 2 miles per hour is

time = distance/speed

time = 22/2 = 11 hours         ...(ii)

time required for Beth to walk 1 miles with speed of 1 miles per hour is

time = 1/1 = 1 hours        ....(iii)

From equation (i) , (ii) and (iii) ,

the order of the time they spent walking from least to greatest time is

1 hours < 1.35 hours < 11 hours

Therefore , the three people in order of the times they spent walking from least time to greatest time is Beth < Cindy < Ari .

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Is the following relation a function?

A) Yes

B) No

Answers

Answer:

I say b

Step-by-step explanation:

1. Complete the following transactions and explain how they would appear in your register.

• You open your bank account on April 16 with a tax refund check of $145.00.
• You pay SellUPhone $65.34 on April 18. (Check 794)
• You deposit your paycheck on April 23. ($9.76/hour for 35 hours)
• You buy $61.32 (4% sales tax not included) in clothes from BargainsRUs on April 24
using your debit card.

Answers

The following banking transaction completed will appear in the register as follows:

DATE         COMPUTATION                    BALANCE ($)

April 16    145.00                                       145.00

April 18    145.00-65.34=79.66                79.66

April 23   79.66+(9.76)(35)=421.26          421.26

April 24   421.26-(61.32)(1.04)=357.49     357.49

What is a banking transaction?

Any money that transfers into or out of your bank account is considered a bank transaction. Cash withdrawals and deposits, cheques, internet payments, debit card charges, wire transfers, and loan payments are all examples of bank transactions.

In most contexts, the term "register" refers to the process of documenting an event, transaction, name, or other information, or an accumulation of recorded data, often comprising historical events, transactions, names, or other information. Alternatively, the phrase can refer to a record of all debit account charges.

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m is directly proportional to r squared. when r=2 m=14. work out the value of m when r=12

Answers

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"m" proportional to }r^2}{ {\Large \begin{array}{llll} m=kr^2 \end{array}}}\qquad \textit{we also know that} \begin{cases} r=2\\ m=14 \end{cases}\implies 14=k(2)^2 \\\\\\ \cfrac{14}{2^2}=k\implies \cfrac{7}{2}=k\hspace{15em}\boxed{m=\cfrac{7}{2}r^2} \\\\\\ \textit{when r=12, what is "m"?}\qquad m=\cfrac{7}{2}(12)^2\implies m=504[/tex]

Is 1270.8 cm significantly high?
A. No, because it is below the lower limit separating value.
B. Yes, because it is between the limits separating values.
C. No, because it is above the upper limit separating value.
D. No, because it is between the limits separating values.
E. Yes, because it is above the upper limit separating value.
F. Yes, because it is below the lower limit separating value.

Answers

To determine the boundaries separating numbers that are significantly low or significantly high, apply the range rule of thumb.

How do you identify the limits separating values that are significantly low or significantly high?

To determine the boundaries separating numbers that are significantly low or significantly high, apply the range rule of thumb. Males had pulse rates with a mean of 69.6 beats per minute and a standard deviation of 11.3 beats per minute, according to Data Set 1 "Body Data" in Appendix B.

A limit exists a specific value to which a function approaches. Estimating a limit usually means finding what value y exists as x approaches a certain number.

Therefore, the correct answer is option A. No, because it is below the lower limit separating value.

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ignoring all other issues, how many pounds of grain supplement should farmer ben feed his cows if the price of milk is $0.20 per pound and the price of grain supplement is $0.70 per pound?

Answers

The most appropriate choice for profit and loss will be given by

Uncle Ben will feed his cows 2 pounds of grain supplement.

What is profit and loss?

If the selling price is more than the cost price, then the difference between the selling price and the cost price will give the profit.

If the selling price is less than the cost price, then the difference between the selling price and the cost price will give the loss.

Here,

For 1 pound

Cost price of grain supplement  = [tex]0.70 \times 1[/tex]

                                                      = $[tex]$0.70[/tex]

Selling price of milk = [tex]0.20 \times 5[/tex]

                                 = $[tex]1[/tex]

Profit = $([tex]1 - 0.70[/tex])

         = $0.30

For 2 pounds

Cost price of grain supplement  = [tex]0.70 \times 2[/tex]

                                                      = $[tex]$1.40[/tex]

Selling price of milk = [tex]0.20 \times 9[/tex]

                                 = $[tex]1.80[/tex]

Profit = $([tex]1.80 - 1.40[/tex])

         = $0.40

For 3 pounds

Cost price of grain supplement  = [tex]0.70 \times 3[/tex]

                                                      = $[tex]$2.10[/tex]

Selling price of milk = [tex]0.20 \times 12.3[/tex]

                                 = $2.46

Profit = $([tex]2.46 - 2.10[/tex])

         = $0.36

For 4 pounds

Cost price of grain supplement  = [tex]0.70 \times 4[/tex]

                                                      = $[tex]$2.80[/tex]

Selling price of milk = [tex]0.20 \times 15.5[/tex]

                                 = $3.1

Profit = $([tex]3.1 - 2.80[/tex])

         = $0.30

For 5 pounds

Cost price of grain supplement  = [tex]0.70 \times 5[/tex]

                                                      = $[tex]$3.50[/tex]

Selling price of milk = [tex]0.20 \times 18[/tex]

                                 = $3.60

Profit = $([tex]3.60 - 3.50[/tex])

         = $0.10

For 6 pounds

Cost price of grain supplement  = [tex]0.70 \times 6[/tex]

                                                      = $[tex]$4.20[/tex]

Selling price of milk = [tex]0.20 \times 20[/tex]

                                 = $4

Loss = $([tex]4.20 - 4[/tex])

         = $0.20

For 7 pounds

Cost price of grain supplement  = [tex]0.70 \times 7[/tex]

                                                      = $[tex]4.90[/tex]

Selling price of milk = [tex]0.20 \times 21.5[/tex]

                                 = $[tex]4.30[/tex]

Loss = $([tex]4.90 - 4.30[/tex])

         = $0.60

For 8 pound

Cost price of grain supplement  = [tex]0.70 \times 8[/tex]

                                                      = $[tex]$5.60[/tex]

Selling price of milk = [tex]0.20 \times 22.5[/tex]

                                 = $[tex]4.50[/tex]

Loss = $([tex]5.60 - 4.50[/tex])

         = $1.10

For 9 pounds

Cost price of grain supplement  = [tex]0.70 * 9[/tex]

                                                      = $[tex]6.30[/tex]

Selling price of milk = [tex]0.20 * 23[/tex]

                                 = $[tex]4.60[/tex]

Loss = $([tex]6.30 - 4.60[/tex])

         = $1.70

Since profit from 2 pounds of grain supplement is the most, Uncle Ben will feed his cows 2 pounds of grain supplement.

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Complete Question

Farmer Ben knows that feeding a grain supplement to his cows will produce more milkaccording to the following schedule:

ignoring all other issues, how many pounds of grain supplement should farmer ben feed his cows if the price of milk is $0.20 per pound and the price of grain supplement is $0.70 per pound?

The table has been attached here

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A line's slope is 8, and its y-intercept iS 8. What is its equation in slope-intercept form?Write your answer using integers, proper fractions, and improper fractions in simplest form. Calculate the pH for each case in the titration of 50.0 mL of 0.190 M HClO(aq) with 0.190 M KOH(aq). Use the ionization constant for HClO. What is the pH before addition of any KOH? pH= What is the pH after addition of 25.0 mL KOH? pH= What is the pH after addition of 40.0 mL KOH? pH= What is the pH after addition of 50.0 mL KOH? pH= What is the pH after addition of 60.0 mL KOH? pH= Solve 2x + 5y=30 for y POST-LAB QUESTIONS.Write and balance the following chemical equations:a) Al (s) + HCl (aq) AlCl3 (aq) + H (g)b) C10H8 (s) + O2 (g) H0 (1) + CO2 (g)c) Sodium sulfate + barium nitrate barium sulfate + sodium nitrated) Calcium carbonate + heat calcium oxide + carbon dioxide i'm giving 50 points for you to help me out pleasei've been stuck on this for a day, please don't troll me! Analyze the image below and answer the question that follows.The Earth from space titled December Twenty-first. A red line is drawn horizontally through the middle of Earth. The Northern and Southern Hemispheres are labeled. Arrows toward the Earth are labeled Sun's rays. The Northern Hemisphere is tilted away from the sun.Image courtesy of Reto Stckli (NASA)Around December 21st each year, the Earth experiences a solstice. In the Northern Hemisphere, which season is it when this solstice takes place?A.springB.winterC.fallD.summer Please select the best answer from the choices providedABCD Find the derivative.g(x) = 8x^5+ x^4- 5x + 6, find g'(-4) Explain the importance of fostering collaborative relationships withschool colleagues, parents, and agencies in the larger community to support students' learning and well-being. 200 word response Compare 364,879; 463,000; 436,765 using scientific notation. Which number has the least value? select the sentence that properly uses parallel structure: (3 points) a i want to learn coding, arranging my resume, and starting my career as a game designer. b i want to learn coding, arrange my resume, and become a game designer. c i want to learn coding, be arranging my resume, and i will be a game designer. d i want to learn coding, arrange my resume, and succeeding as a game designer. 1. What biases do you think might have informed the actions of Singer and Seitz (inMerchants of Doubt).2. Using Rampolla section 3b-1 (p.32) write a summary of Merchants of Doubt. Rememberthat a summary conveys the thesis and most important evidence that is presented tosupport that thesis - you shouldn't give a scene-by-scene description of the video. Yoursummary should not be more than 500 words and should be entirely in your own words. Of two identical metal balls, one has a charge 5 times greater than the other. The balls touched each other and returned to the previous distance. How many times has the interaction force changed in the module if: 1) The balls were charged with the same sign 2) Balls were charged with different marks Graph the line -3 with slope (-4,-2) passing through the point How did South African activists place economic pressure on the governmentfor its apartheid policies?A. They encouraged foreign governments to impose sanctions onSouth Africa.OB. They sought employment in industries that were dominated bywhite South Africans.OC. They voted to reduce taxes to such low levels that the governmentrisked bankruptcy.OD. They urged Africans to invest in white-owned businesses to wintheir support.SUBMIT For the following questions, create a Punnett square. Be sure to show the genotypes, phenotypes, and percentages for each cross.Put the genotypes you are crossing in the light gray columns, and the expected crosses in the boxes. In guinea pigs, black fur in dominant over white fur. Cross two heterozygous black guinea pigs. (4 pts) Genotype: Phenotype what is the 4th dimension, what would it be like to live in? Mrs. [Name] has 56 pencils and 42 erasers. If she wants to make sets of pencils. erasers for her class so that each student has the same number of pencils and erasers, what is the greatest number of students she can have in her class so there are none left over? How many pencils and erasers will each student have[re post] Do you think they were influencet by the structure of their organization ? [i.e court usually think legally, parliament usually think politically] A radio station gives away $15 to every 15th caller, $25 to every 25th caller, and free concert tickets to every 100th caller. When will the station first give away all three prizes to one caller? When this happens how much money and how many tickets are giving away What is the central idea of these paragraphs? Please help me!!!