Which relation is a function? {(–4, –6), (–3, –2), (1, –2), (1, 0)} {(–2, –12), (–2, 0), (–2, 4), (–2, 11)} {(0,1), (0, 2), (1, 2), (1, 3)} {(8, 1), (4, 1), (0,1), (–15, 1)}

Answers

Answer 1

Answer:

[tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]

Step-by-step explanation:

Given

[tex]\{(-4, -6), (-3, -2), (1, -2), (1, 0)\}[/tex]

[tex]\{(-2, -12), (-2, 0), (-2, 4), (-2, 11)\}[/tex]

[tex]\{(0,1), (0, 2), (1, 2), (1, 3)\}[/tex]

[tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]

Required

Determine which is a function

A relation is divided into 2; (x,y)

Where x represents the range and y stands for the domain

For a relation to be a function, the x column must be unique; in other words, there must be only one occurrence of x

Testing each of the given options

A. [tex]\{(-4, -6), (-3, -2), (1, -2), (1, 0)\}[/tex]

Start by splitting the relation into x and y columns

[tex](x,y)[/tex]

[tex](-4, -6)[/tex]

[tex](-3, -2)[/tex]

[tex](1, -2)[/tex]

[tex](1, 0)[/tex]

Notice that the third and fourth relation has the same x value of 1;

Hence, this is not a function

B. [tex]\{(-2, -12), (-2, 0), (-2, 4), (-2, 11)\}[/tex]

Start by splitting the relation into x and y columns

[tex](x,y)[/tex]

[tex](-2, -12)[/tex]

[tex](-2, 0)[/tex]

[tex](-2, 4)[/tex]

[tex](-2, 11)[/tex]

Notice that all relations has the same x value of -2;

Hence, this is also not a function

C. [tex]\{(0,1), (0, 2), (1, 2), (1, 3)\}[/tex]

Start by splitting the relation into x and y columns

[tex](x,y)[/tex]

[tex](0, 1)[/tex]

[tex](0, 2)[/tex]

[tex](1, 2)[/tex]

[tex](1, 3)[/tex]

Notice that the first and second relation has the same x value of 0 and the third and fourth relation has the same x value of 1;

Hence, this is also not a function

D. [tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]

Start by splitting the relation into x and y columns

[tex](x,y)[/tex]

[tex](8, 1)[/tex]

[tex](4, 1)[/tex]

[tex](0, 1)[/tex]

[tex](-15, 1)[/tex]

Notice that relation has the unique x values of 8, 4, 0 and -15

Hence, this relation is a function


Related Questions

w is greater than -1 and less than or equal to 4
Use a only once in your inequality.

Answers

Answer:

-1 + w ≤ 4

Step-by-step explanation:

w is greater than -1 = -1 + w

Less than or equal to 4 = (anything less than or equal to 4)≤4

Answer:

[tex]-1<w\leq 4[/tex]

This shows that w is greater than -1 and less than or equal to 4

, through an inequality.

This is the greater than symbol: <

This is the less than or equal to symbol: [tex]\leq[/tex]

Hope that helped!!!

A tailor cuts off a 2-meter long section from a 20-meter long piece of cloth every day. After how many days will he cut off the last section?

Answers

Answer: 10 days

Step-by-step explanation:

20/2 = 10

Answer18

Step-by-step explanation:

If the probability that a person will die in the next year is 771/100,000
what is the probability that the person will not die in the next year?

A. 0.771%
B. 99.229%
C. 0.229%
D. 99.771%

Answers

Answer:

(B) 99.229%

Step-by-step explanation:

If the probability of someone dying next year is [tex]\frac{771}{100000}[/tex], that means the probability of someone NOT dying next year is [tex]\frac{100000-771}{100000} = \frac{99229}{100000}[/tex].

To find the percent value of this fraction, we divide 99229 by 100000 and multiply by 100.

[tex]\frac{99229}{100000} = 0.99229\cdot100=99.229[/tex]

So, the answer is B, 99.229%.

Hope this helped!

The answer to this question is B. Or 99.229%

Julie started to solve the exponential expression (-2).
(-2)3 = -2 -2 -2 - ?
Which of these explains why Julie gets a negative number for her final answer?
The base -2 is a negative number.
The exponent 3 is an odd number.
The exponent 3 is a positive number.
The base - 2 is an even number.

Answers

Answer:

just did this on a test and it was

The exponent 3 is an odd number.

Step-by-step explanation:

Hince the statements which justify it:

The base -2 is a negative number.

The exponent 3 is an odd number.

Julie gets a negative number for her final answer when solving the expression (-2)³ = -2 x -2 x -2

Because the base, -2, is a negative number.

When an odd number of negative numbers are multiplied together, the result is always negative.

In this case, there are three negative numbers (-2 x -2 x -2),

Which is an odd number, resulting in a negative answer.

However, since the base is negative, the result will always be negative for any odd exponent.

Therefore, the negativity of the base and the odd value of the exponent together lead to a negative final answer.

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Round 18.049 to the nearest tenth.

Answers

Answer:

18.0

Step-by-step explanation:

Note the tenth place value (underlined and bolded): 18.049

Look at the number to the direct right of the tenth place value (or the hundredth place value in this case). It is a 4.

Note the rules of rounding. If the number:

1) is 5 or greater, round up.

2) is 4 or less, round down.

In this case, it is 4, so you will round down.

18.049 rounded to the nearest tenth is 18.0

~

Answer:

18.0

Step-by-step explanation:

first time i put 18 and it was wrong so

I am confused on this: "Find the area of a square with a perimeter of 20 inches"

Answers

Answer:

25 square inches

Step-by-step explanation:

A square has 4 congruent sides.

By knowing the perimeter of a square, you can find the length of a side.

perimeter = 4 * side

20 in. = 4s

s = 20 in./4

s = 5 in.

A side of this square measures 5 in.

Now we use the area formula to find the area of the square.

area = (side)^2

area = (5 in.)^2

area = 25 in.^2

Answer:

The area will be 25 inches.

Step-by-step explanation:

Hi! So, this might be a pretty easy question for some people, but I can see how it might be confusing.

If you want to find the area of a square, which has four equal sides, it's pretty easy. You just need to know the length of one side instead of two different lengths, because both are equal!

The question gives you the perimeter, which is 20 inches. To get the perimeter of something, like this square, you add up all the sides. All you have to do to find the length of one side is divide the total sum of the sides, 20 (perimeter!)  by the number of sides you have, four!

Note: This won't work with things like rectangles. You can only do things like this with squares, because you know ahead of time that all of the sides will be equal.

So! 20 divided by the number of sides, 4, is five!

Know we know all we need to be able to find the area of the square. To find the area, all you have to do is multiply the length of the square (5) by the width of the square (also 5!) That's 25, which is the area of your mystery square.

Hope you understand and this helps!

help me find VW and YZ

Answers

Answer:

VW=35

YZ=50

Step-by-step explanation:

As they are similar triangles with a ratio of 1:2 and we know VW:XZ=1:2, we can make the equation:

2(4y+7)=12y-14

8y+14=12y-14

4y=28

y=7

So, VW=4(7)+7=35.

Similarly, you can find YZ through VT:

2(7x-17)=8x+2

14x-34=8x+2

6x=36

x=6

Therefore, YZ=8(6)+2=50.

VW=35
YZ=50 I believe this is the correct answer

What will I get for this 16 + x = 12

Answers

First step: subtract 16 from both sides to get x=12-16

Second step: simplify to x= -4

Third step: fill it back into the equation to check, 16 + -4 = 12, and 12=12 this is a true statement

Answer:

x = -4

Step-by-step explanation:

16 + x = 12

16 - 16 + x = 12 - 16

x = -4

-5+2(10b-2)=31 need help thanks!

Answers

Answer:

[tex]\Large \boxed{b=2}[/tex]

Step-by-step explanation:

-5+2(10b-2)=31

Expand brackets.

-5+20b-4=31

-9+20b=31

Add 9 on both sides.

20b=40

Divide both sides by 20

b=2

Answer:

b = 2

Step-by-step explanation:

-5+2(10b-2)=31

Multiply the terms in the bracket

That's

- 5 + 20b - 4 = 31

Group like terms

Send the constants to the right side of the equation

That's

20b = 31 + 4 + 5

Simplify

20b = 40

Divide both sides by 20

We have the final answer as

b = 2

Hope this helps you

What is 0.75 as a fraction?

Answers

0.75 as a fraction is 3/4

Answer:

3/4

Step-by-step explanation:

We would like to find what 0.75 is as a fraction.

Remember that since there are two digits past the decimal point, the denominator will 100.

So, the numerator is 75 and the denominator is 100. We now have:

75/100

We would like to simplify this. Notice that the top and bottom (75 and 100) are both divisible by 25. So divide both by 25:

75 / 25 = 3

100 / 25 = 4

The answer is thus 3/4.

~ an aesthetics lover

what is the domain of the function shown in the graph below?
answer type: interval, all real numbers, all values except one, all values except two
interval:

Answers

Answer:

All numbers except 1

Step-by-step explanation:

The graph has an asymptote at 1.

So the function will grow toward but without reaching it.

The equation of the asymptote is x=1

So the domain is all real numbers except 1.

the domain is all real numbers except for 1

5.
A leaky faucet is losing water and is filling a 7-gallon bucket every 21 hours. At that rate, how many
gallons of water will the faucet leak in 30 hours?
(2-Point Holistic Rubric)
Show your work.

Answers

Answer:

10 gallons.

Step-by-step explanation:

A leaky faucet is losing water and;

filling a 7-gallon bucket  every 21 hrs.

So 7 gallons of water are leaked in 21 hrs

We are to find the number of gallons that will be leaked in 30 hrs.

Cross-multiplying this gives;

[tex]\frac{30 * 7}{21}[/tex] = 10 gallons.

10 is the answer to the question

Annabelle works in a department store selling clothing. She makes a guaranteed
salary of $500 per week, but is paid a commision on top of her base salary equal to
30% of her total sales for the week. How much would Annabelle make in a week in
which she made $2400 in sales? How much would Annabelle make in a week if she
made x dollars in sales?
Earnings when selling $2400:
Earnings when selling $x:

Answers

Answer:

No 1 would be 500 + 2400*30/100 = 500 + 720 = 1220

No 2 would be 500 + x*30/100

Step-by-step explanation:

Answer:

$1200 and 500+ .3x

Step-by-step explanation:

Use this equation: 500+ .3x and insert in 1200.

Made equation by taking garented amount, $500, and have that be added.  Sense you get 30 percent of of x (the amount of sales), have x be multiplied by .3 to get 30 percent.

what fraction is equal to 75% of 1/3 ? PLZ TELL MEH PPL IM DUMB IKKKKK

Answers

Answer:

0.25 or 1/4

Step-by-step explanation:

1/3 * 75/100 = 75/300 = 1/4 = 0.25

[tex]75\%\cdot\dfrac{1}{3}=\dfrac{3}{4}\cdot\dfrac{1}{3}=\dfrac{1}{4}[/tex]

If m(2x−3)+n(x+1)=5x for all real numbers x, where m and n are constants, what is the value of m?

Answers

Answer:

m = 1

Step-by-step explanation:

From the question given,

m(2x − 3) + n(x + 1) = 5x for all real numbers x.

Since x is a real number, we can obtain the value of m as follow:

Let x = 1

m(2x − 3) + n(x + 1) = 5x

m(2×1 − 3) + n(1 + 1) = 5×1

m(2 – 3) + n(2) = 5

m(– 1) + n(2) = 5

– m + 2n = 5 ...... (1)

Let x = 2

m(2x − 3) + n(x + 1) = 5x

m(2×2 − 3) + n(2 + 1) = 5×2

m(4 – 3) + n(3) = 10

m(1) + n(3) = 10

m + 3n = 10 ...... (2)

– m + 2n = 5 ...... (1)

m + 3n = 10 ...... (2)

Solve by elimination method

Add equation 1 and 2

– m + 2n = 5

+ (m + 3n = 10)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

5n = 15

Divide both side by 5

n = 15/5

n = 3

Substitute the value of n into any of the equation to obtain the value of m. Here, we shall substitute n into equation 2.

m + 3n = 10

m + 3(3) = 10

m + 9 = 10

Collect like terms

m = 10 – 9

m = 1

Therefore, the value of m is 1

m = 1 is the answer to your problem

Savannah is currently one more than twice the age of her cat, Selena Gomez. In thirteen years, Savannah will be 1.5 times as old as Selena. What is Savannah's current age?

Answers

Answer:

23 years old

Step-by-step explanation:

Savannah's age = x

Selena's age = y

Right now, x = 2y + 1

In 13 years, x = 1.5y

Here, we must use simultaneous equations to work it out.

x = 2y + 1

x + 13 = 1.5 x (y + 13)   --> x + 13 = 1.5y + 1.5 x 13   --> x + 13 = 1.5y + 19.5

x + 13 = 1.5y + 19.5

- 13

x = 1.5y + 6.5

x = 1.5y + 6.5 = 2y + 1

1.5y + 6.5 = 2y + 1

- 1

1.5y + 5.5 = 2y

- 1.5y

5.5 = 0.5y

x 2

11 = y

We know that y = 11

Savannah is currently twice her cat's age plus 1, so...

11 x 2 + 1 = 22 + 1 = 23 years old

Hope this helps!

P.S. If the cat lives 13 more years after this, it will be a very old cat lol :)

Uhh I believe the answer is 23

help me with these thanks

Answers

This is the answer to your question
Answer: I do not know

Explanation:

Half of what?= 32 1/2

Answers

65



65/2 is 32 1/2




Proof
32 1/2 x 2 = 65

Half of the number 65 is [tex]32\frac{1}{2}[/tex].

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given fraction is [tex]32\frac{1}{2}[/tex].

Let x be unknown number.

Then, the equation is

1/2 of x=[tex]32\frac{1}{2}[/tex]

x/2 =32.5

x=65

Therefore, half of the number 65 is [tex]32\frac{1}{2}[/tex].

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Mr. Brust tried to simplify the following but made a really common mistake in the problem. Identify the mistake, then show the correct solution. 8 + 2(3p + 1) = 10(3 p +1) = 30p +10

Answers

Answer:

The correct answer is 10+6p

Step-by-step explanation:

The mistake is that for the first step instead of distributing 2 to 3p and 1 they added 8+2 first. your actually supposed to distribute and get, 8+6p+2, then combine like terms and get 10+6p

Answer:

Mistake: He added 8 to the 2 that you needed to multiply to the 3p and 1 inside the parentheses.

Correct solution: 10 + 6p

Step-by-step explanation:

8 + 2(3p + 1) =

8 + 6p + 2 =

10 + 6p

Hope that helps and maybe earns a brainliest!

Have a fantastic day! :)

How many of the positive integer factors of 15552 are perfect squares?


Please show work, will mark brainliest if correct

Answers

Answer: 9 integers factors

Step-by-step explanation:

Let's first find the factor of 15552

15552 / 2 = 7776

7776 / 2 = 3888

3888 / 2 = 1944

1944 / 2 = 972

972 / 2 = 486

486 / 2 = 243

273 / 3 = 81

81 / 3 = 27

27 / 3 = 9

9 / 3 = 3

3 / 3 = 1

Some of the factors of 15552 are:

2×2×2×2×2×2×3×3×3×3×3

4×4×4×9×9×3

4^2 × 9^2 × 4 × 3

The factor that are perfect square are:

4, 9, 16, 36, 64, 81, 144, 576, 1296

Therefore, 9 of the positive integer factors of 15552 are perfect squares.

Answer:

9 of the positive integer factors of 15552 are perfect squares

Determine whether each equation is an identity or whether it has no solution.-3(2x+1)=2(-3x-1) help is this a no solution or infinite

Answers

Answer:

No solution.

Step-by-step explanation:

Distribute.

-3(2x + 1) = 2(-3x - 1)

-6x - 3 = -6x - 2

Combine like terms.

-6x - 3 = -6x - 2 add 3 to both sides

-6x = -6x + 1 add 6x to both sides

0 = 1 this is false.

Because we ended up with a false equation, there is no solution to this equation.

Answer:

no solution

Step-by-step explanation:

Perform the indicated multiplication, using the distributive property.

-3(2x+1)=2(-3x-1)  becomes -6x - 3 = -6x - 2

This has no solution because -3 is never equal to -2.

Four representations of the same data are shown below. Verbal Description Shay pays a $4 monthly fee in addition to the data and minutes charges on her cell phone bill, x. Equation y = x + 4 Table A 2-column table with 3 rows. Column 1 is labeled x with entries 30 dollars, 40 dollars, 50 dollars. Column 2 is labeled y with entries 34 dollars, 44 dollars, 54 dollars. Graph Cell Phone Bill A graph with data/minutes charges on the x-axis and total bill on the y-axis. A line goes through points (0, 4) and (3, 7). Which two representations are considered to be only partial representations? the equation and the verbal description the verbal description and the graph the table and the equation the graph and the table

Answers

Answer: D) the graph and the table

The table is a partial representation as we only see three data points. This is a limited view. Because of this, the answer is between C and D. However, we can rule out choice C as the equation will give us the complete view of what's going on. We can plug in any x value we want to find the corresponding y value (keep in mind that x and y can't be negative though). So that means the graph is a partial representation. This is true if the line segment doesn't extend forever upward. If we had a line segment through the endpoints (0,4) and (3,7), and it stopped at (3,7), then this is a limited view. It does not show what the bill would be if x were say x = 5.


If two 4-sided dice were rolled, what
would be the probability of getting double
2s? Write your answer as a fraction.

Answers

Answer:

It’ll be a 1/8 chance

Step-by-step explanation:

Uh pretty much, if you were to roll one of those 4 sides die it’ll be a 1/4 of being a 2 in which it was. If you were to roll it again it’ll be another 1/4 chance but back to back it’ll be a 1/8 chance

The answer to that question is a 1/8 chance

Sue's ice cream has 6 more scoopsthan Tessa's ice cream cone.

Sue's ice cream cone has 9 scoops.

How many scoops are on Tessa's ice cream cone?​

Answers

Answer:

Tessa has 3 ice-cream scoops

Step-by-step explanation:

A fortnight is 1/26 of a year. What part of a year is 8 fortnights?

Answers

Answer:

Isn’t it just 8/26

Step-by-step explanation:

Since 1 is 1/26 so 8 is just 8/26?

The part of a year is 8 fortnights is ( 8 / 26 ).

What is multiplication?

Multiplication is the process of determining the product of two or more numbers in mathematics.

It is given that a fortnight is 1/26 of a year. The part of the year for 8 fortnights is calculated as:-

⇒ 8 x ( 1 / 26 )

⇒( 8 / 26 )

Therefore, the part of a year is 8 fortnights is ( 8 / 26 ).

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help can somewon help me

Answers

Answer:

  504 in³

Step-by-step explanation:

The volume of the overall outside dimensions is their product:

  Voverall = (12 in)(8 in)(6 in) = 576 in³

The volume of the "slot" is the product of its dimensions:

  Vslot = (6 in)(6 in)(2 in) = 72 in³

Then the volume of the figure shown is ...

  Vfigure = Voverall -Vslot = 576 in³ -72 in³ = 504 in³

Answer:

504 inches cubed

Step-by-step explanation:

The area missing is 6*6*2=72

The whole area is 576

subtract the two and get 504

since we are talk about volume it is 50 inches cubed

Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the right.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the left.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the right.

Answers

Answer:

A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at negative 0.5 and is pointing to the left.

Step-by-step explanation:

Required

[tex]2x - 6 \geq 6(x - 2) + 8[/tex]

Required

Determine the number line

[tex]2x - 6 \geq 6(x - 2) + 8[/tex]

Open the bracket

[tex]2x - 6 \geq 6*x - 6*2 + 8[/tex]

[tex]2x - 6 \geq 6x - 12 + 8[/tex]

[tex]2x - 6 \geq 6x - 4[/tex]

Collect Like Terms

[tex]2x - 6x \geq 6 - 4[/tex]

[tex]- 4x \geq 2[/tex]

Divide both sides by -4

[tex]\frac{- 4x}{-4} \geq \frac{2}{-4}[/tex]

[tex]x \leq -0.5[/tex]

From the list of given options, the correct answer is option C

Answer:

b

Step-by-step explanation:

A line plot has a range of 4, from 1 to 5, with 5 modes. How would you describe the graph?

The graph has an outlier.
The data is clustered around 3.
Each column will be the same height.
There is not enough information.
will give brainliest

Answers

Answer:

Each column will be the same height.

Step-by-step explanation:

Mode refers to the most occurring number, and there are five within a data set that is 4 wide, so there will be 5 columns of equal length.

Each colum willl be the same heights

Name four fractions between 5/6 and 7/8

Answers

Answer:

101/120, 102/120, 103/120, and 104/120.

Step-by-step explanation:

First find the LCM of 6 and 8:24

So the two given fractions are 20/24, and 21/24

Since the the fractions will become decimals with the denominator 24, choose another denominator: 48

So the two given fractions are 40/48 and 42/48.

Even this denominator isn't possible so continue with different denominators.

As I notice, that each multiple increases by 1...

20-21, 40-42, 60-63, 80-84, and 100-105.

100-105 is the only numerator that has 4 numbers in-between so, the four fractions between 5/6 and 7/8 are: 101/120, 102/120, 103/120, and 104/120.

And the 2 given fractions are 100/120 and 105/120.

I hope this helps and plz mark me brainliest!!

The fractions between 5/6 and 7/8 are 6/7, 13/15, 11/13, and 17/20.

What is a fraction?

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator, and denominator.

For the given situation,

The fractions are 5/6 and 7/8.

The fractions between any two fractions can be obtained by adding them without considering the denominator.

Fraction 1:

[tex]\frac{5+7}{6+8}=\frac{12}{14}[/tex]

⇒ [tex]\frac{6}{7}\\[/tex]

Fraction 2:

[tex]\frac{6+7}{7+8} = \frac{13}{15}[/tex]

Fraction 3:

[tex]\frac{5+6}{6+7} = \frac{11}{13}[/tex]

Fraction 4:

[tex]\frac{6+11}{7+13}=\frac{17}{20}[/tex]

Hence we can conclude that the fractions between 5/6 and 7/8 are 6/7, 13/15, 11/13, and 17/20.

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In the triangles, TR = GE and SR = FE.


Triangles S T R and F G E are shown. Angle S R T is 56 degrees. Angle F E G is 42 degrees. Sides T R and G E are congruent. Sides S R and F E are congruent.

if Line segment G F = 3.2 ft, which is a possible measure of Line segment T S?

Answers

Answer:

3.2 ft

Step-by-step explanation:

the only thing you need to know is that congruent means that all the side and the same and the shape can be flipped and still look the same so the measure of the line segment is 3.2ft

Answer:

3.2 ft

Step-by-step explanation:

The answer above is correct.

Other Questions
Q2Mirrors on the walls give the room the ______ of being much bigger than it really is. Illusion allusion What transportation mode has very high initial investment costs but gives a very low cost per mile for products that are highly specialized and require no packaging? Cafeteria Meals I regularly purchase my lunch in the cafeteria; however, we only have one meal option each day. I would not serve some of the meals prepared in our cafeteria to cockroaches. Consider the school's pepperoni pizza. I am one who rarely turns down pizza, especially if it has pepperoni on it, but the pizza that our school serves is just too greasy. I even put paper napkins over the pizza in order to soak up the grease. Nevertheless, I always have a stomachache in the afternoon on pizza day. Some of my friends do not even eat lunch on pizza day because the pizza our school serves makes them feel ill too. If we had more meal options at lunch, we could choose foods that left us feeling better in the afternoons. 18 Select the correct answer. What is the best thesis statement for this argument? A. Some of our students are not allowed to eat certain foods and must skip lunch. B. Many schools in nearby districts offer a variety of meal options to their students. C. Schools should not be allowed to sell high-fat desserts to students. D. Our school needs to offer several selections for food at what would be the answer for f(0) = -3x+7? An electric field from a charge has a magnitude of 4.5 x 10^4 N/C at a certainlocation that points outward. If another charge with a magnitude of -2.0 x 10^-6 Cis brought near it, what is the strength of the electrostatic force that acts on thischarge and how do the two charges behave?0.09 N; repel each other-0.09 N; attract each other-2.3 N; repel each other2.3 N; attract each other Reflections, rotations, and translations are types of transformations. A reflection flips an image, a rotation spins an image, and a translation slides an image. Draw a shape on a piece of paper and cut it out. Then, flip it, spin it, and slide it. Explain how each transformation affects the size and shape of the image you drew. IDK how to answer this PLS HELP Read the excerpt from the preamble to the Constitution. Insure domestic Tranquility, provide for the common defence, promote the general Welfare. According to the excerpt, the responsibility of government is to please help me answer these in variable and constant terms 7s + 8s - 6h Read the article. Use your understanding to answer the questions that follow. What type of source is this article? primary or secondary and how do you know Let surface S be the boundary of the solid object enclosed by x^2+z^2=4, x+y=6, x=0, y=0, and z=0. and, let f(x,y,z)=(3x)i+(x+y+2z)j + (3z)k be a vector field (for example, the velocityfaild of a fluid flow). the solid object has five sides, S1:bottom(xy-plane), S2:left side(xz-plane), S3 rear side(yz-plane), S4:right side, and S5:cylindrical roof. a. Sketch the solid object. b. Evaluate the flux of F through each side of the object (S1,S2,S3,S4,S5). c. Find the total flux through surface S. As part of a chemistry experiment, Barry is making a mixture of two solutions. He uses 4 cups of solution A for every 2 cups of solution B. The table below shows the numbers of cups he uses of solution A and solution B. Solution A (cups) Solution B (cups) 4 2 8 4 12 6 16 8 Using the information from the table, choose the correct statement. A. The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3. B. The ratio of the number of cups of solution A to the total number of cups of the mixture is 3:2. C. There are 3 cups of solution A for every 6 cups of mixture. D. For each cup of solution A, there are 2 cups of solution B. A soccer team has 18 players. 5 of the players have scored at least 4 goals this season. Approximately what percent of the players have scoredat least 4 goals?Select the best answer from the choices provided.O A. 1596OB.30%.6096D7596 Find the square root of 25 6 4 5 7 If an adult male is told that his height is 3 standard deviation above the mean of the normal distribution of heights of adult males, what can he assume? write the equation of a horizontal ellipse with a major axis of 18, and minor axis of 10, and a center at (-4, 5). 2x - 3y = -55x - 22 = -4ySolve In Multiplication Method Part 1: Serena's drawingFollow these steps to find the angles of the trapezoids in Serena's drawing. If the angles of hertrapezoid match the angles of the trapezoid stone, then her drawing is correct. Aaron, a premed student, received an A on his anatomy and physiology exam. He told his roommate that though he had studied for the exam, and it was mostly just good luck that the professor had asked so many questions that he understood. Because Aaron attributes his success to luck rather than his own hard work, Aaron appears to have ____________. Read this sentence.The American River is a popular place.Which of the following revises this sentence to include a prepositional phrase?The American River, which is very beautiful, is a popular place. The American River is known as a very popular boating site.The American River is a popular place for rafting enthusiasts.The American River is popular because it has beautiful scenery. A 5000 pound car sitting in the last parking space in the block a scalar or vector quantity??