What is the answer to these two boxes

What Is The Answer To These Two Boxes

Answers

Answer 1

Answer:

3 in green box

Step-by-step explanation:

Since you have 3x = 6, you must divide both sides by 3 to find x.

Each box needs a 3.

Answer 2

Answer:green box is 3 and grey box is 3 . The answer will be 2

Step-by-step explanation:


Related Questions

Three tickets to attend an Off-Broadway show cost $81, 4 tickets cost $108, and 5 tickets cost $135. Show that the relationship between number and the cost is a proportional relationship by making a table of tickets for 1 to 5 tickets. Show your work. Number of Tickets 1 2 3 4 5 Total Cost ($) What is the constant of proportionality, k? Write and Equation for the relationship. (Remember to state what the variables represent)

Answers

Answer:

k=27y=27x

Step-by-step explanation:

3 tickets to attend an Off-Broadway show cost $81,

4 tickets cost $108; and

5 tickets cost $135.

Let the price of a ticket=k

Therefore:

3k=814k=1085k=135

Solving any of the equation above gives: x=27

We therefore have:

[tex]\left|\begin{array}{c|c|c|c|c|c}$Tickets&1&2&3&4&5\\$Total Cost(\$)&27&54&81&108&135\end{array}\right|[/tex]

Let y be the total cost of x tickets

From the above, the constant of proportionality, k=27

An equation for the relationship is therefore:

y=27x (where x is the number of tickets and y is the total costs (in $)).

Yesterday, Pete had 14 shirts. Today, he donated n shirts. Using n, write
an expression for the number of shirts Pete has left.

Answers

Answer:

14 - n.

Step-by-step explanation:

If he donated 'n' shirts, we can simply subtract 'n' from his initial amount of shirts, which is stated as '14'. Therefore:

'14 - n' is an expression that can represent how many shirts are remaining after he donated them.

What is the slope? 50 points + brainly


Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

1/2

Step-by-step explanation:

Hi there, let me show you how to answer this question.

If you notice, the line goes over (-1,-10) and (1,-9). But overall, the rise/run is 1/2 as the rise is 1 and the run is 2.

Use Cramers Rule to solve the system
-x-3y=-8
2x+4y=12

Answers

Answer:

x = 2 y = 2

Step-by-step explanation:

just do equation form

Answer:

[tex]x=2[/tex] and [tex]y=2[/tex]

Step-by-step explanation:

To use Cramer's Rule, we first need to turn this system of equations into a matrix

[tex]A=\left[\begin{array}{cc}-1&-3\\2&4\\\end{array}\right][/tex] , [tex]b=\left[\begin{array}{c}-8\\12\\\end{array}\right][/tex]

The first step to use Cramer's Rule is to find the determinant of the original matrix

[tex]detA=(4)(-1)-(2)(-3)\\\\detA=-4+6\\\\detA=2[/tex]

Next, we need to replace column 1 of matrix A with b and then find the determinant of that matrix

[tex]A_1=\left[\begin{array}{cc}-8&-3\\12&4\\\end{array}\right][/tex]

[tex]detA_1=(-8)(4)-(12)(-3)\\\\detA_1=-32-(-36)\\\\detA_1=4[/tex]

And now we need to replace column 2 of matrix A with b and then find the determinant of that matrix

[tex]A_2=\left[\begin{array}{cc}-1&-8\\2&12\\\end{array}\right][/tex]

[tex]detA_2=(-1)(12)-(2)(-8)\\\\detA_2=-12-(-16)\\\\detA_2=4[/tex]

Now that all of this is done, we can find the values for our x matrix.

Recall that Cramer's Rule states that

[tex]x=\left[\begin{array}{c}\frac{detA_1}{detA} \\\frac{detA_2}{detA} \\\end{array}\right][/tex]

Now that we know all of the required determinants, we can find x

[tex]x=\left[\begin{array}{c}\frac{4}{2} &\frac{4}{2} \end{array}\right] \\\\x=\left[\begin{array}{c}2\\2\\\end{array}\right][/tex]

This means that the solutions to this system are [tex]x=2[/tex] and [tex]y=2[/tex]

Write your question here (Keep it simple and clear to get the best answer)if use the spinner 200 times how many pink colour would you get if it has 0.2

Answers

Answer: 40 times.

Step-by-step explanation:

If the probability in a sigle spin of getting the colour pink is p = 0.2

This means that in 0.2*100%  = 20% of the spins we should see the colour pink.

Then, out of 200 spins, the 20% of 200 is

(20%/100%)*200 = 0.2*200 = 40

This means that out of 200 spins, in around 40 of them we will se the colour pink.

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g circle h) (5)?

Answers

Answer:

4

Step-by-step explanation:

[tex]h(x)=x-7 \\\\g(x)=x^2 \\\\(g\circ h)(5)= (5-7)^2=(-2)^2=4[/tex]

Hope this helps!

Using composite functions, it is found that the equivalent expression at x = 5 is given by:

[tex](g \circ h)(5) = 4[/tex]

What is a composite function?

A composite function is when a function is used as an input to another function, hence, that is:

[tex](g \circ h)(x) = g(h(x))[/tex].

In this problem, we have that the functions are given as follows:

h(x) = x - 7.g(x) = x².

Then, the composite function is given by:

[tex](g \circ h)(x) = g(h(x)) = g(x - 7) = (x - 7)^2[/tex].

We want to find the value of the composite function at x = 5,  hence we have that:

(5 - 7)² = 4.

More can be learned about composite functions at https://brainly.com/question/17684028

#SPJ2

Subtract the equations 5x+4y= 25 -(5x+2y=3)

Answers

If you subtract you will get 2y=22. The x’s cancel out. Divide both sides by 2 and you get y=11.

If f(x) = 3x2 + 1 and g(x) = 1 - x, what is the value of (f - g)(2)

Answers

Answer:

14

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x)

= 3x² + 1 - (1 - x)

= 3x² + 1 - 1 + x

= 3x² + x , thus

(f - g)(2)

= 3(2)² + 2 = 3(4) + 2 = 12 + 2 = 14

Mr. Mudd gives each of his children $2000 to invest as part of a friendly family competition. The competition will last 10 years. The rules of the competition are simple. Each child can split up his or her $2000 into as many separate investments as they please. The children are encouraged to do their research on types of investments. The initial investments made may not be changed at any point during the 10 years; no money may be added and no money may be moved. Whichever child has made the most money after 10 years will be awarded an additional $10,000. Child Performance of investments over the course of the competition Albert $1000 earned 1.2% annual interest compounded monthly $500 lost 2% over the course of the 10 years $500 grew compounded continuously at rate of 0.8% annually Marie $1500 earned 1.4% annual interest compounded quarterly $500 gained 4% over the course of 10 years Hans $2000 grew compounded continuously at rate of 0.9% annually Max $1000 decreased in value exponentially at a rate of 0.5% annually $1000 earned 1.8% annual interest compounded biannually (twice a year) 1. What is the balance of Albert’s $2000 after 10 years? 2. What is the balance of Marie’s $2000 after 10 years? 3. What is the balance of Hans’ $2000 after 10 years? 4. What is the balance of Max’s $2000 after 10 years? 5. Who is $10,000 richer at the end of the competition?

Answers

Answer:

Step-by-step explanation:

Albert:

$1000 earned 1.2% annual interest compounded monthly

= 1000 (1+.001)120

(periodic interest = .012/12 ,n is periods = 10yr x 12 mos)

$500 lost 2% over the course of the 10 years

= 500 (.98)

$500 grew compounded continuously at rate of 0.8% annually

= 500 e^008(10) 10 years interest .008 (in decimal form)

Add these three to see how Albert did with his investments

The balance of Albert is $2159.07; the balance of Marie is $2244.99, the balance of Hans is $2188.35, and the balance of Max is $2147.40. Marie is $10,000 richer at the end of the competition.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To determine the balance of Albert’s $2000 after 10 years :

If the amount of $1000 at 1.2 % compounded monthly,

A = P(1 +r/n)ⁿ n = 10 years

here P = $1000 and r = 1.2

A = 1000(1 + 0.001)¹²⁰

A = $1127.43

If Albert $500 losing 2%

So 0.98 × 500 = $490

If $500 compounded continuously at 0.8%

So A = P[tex]e^{rt}[/tex]

A = 500[tex]e^{0.008\times 10}[/tex]

A = 541.6

So the balance of Albert’s $2000 after 10 years :

Total balance = 1127.43 + 490.00+ 541.64 = $2159.07

To determine the balance of Marie’s $2000 after 10 years:

If 1500 at 1.4 % compounded quarterly,

A = 1500(1 + 0.0035)⁴⁰ = $1724.99

If $500 Marie’s gaining 4 %

So 1.04 × 500 = $520.00

So the balance of Marie’s $2000 after 10 years

Total balance = 1724.99 + 520.00 = $2244.99

To determine the balance of Hans’ $2000 after 10 years:

If $2000 compounded continuously at 0.9%

So A = 2000[tex]e^{0.009\times 10}[/tex]

A = $2188.3

To determine the balance of Max’s $2000 after 10 years :

If $1000 decreasing exponentially at 0.5 % annually

So A = 1000(1 - 0.005)¹⁰= $951.11

If $1000 at 1.8 % compounded bi-annually

So A = 1000(1 + 0.009)²⁰ = $1196.29

So the balance of Max’s $2000 after 10 years

Total balance = 951.11 + 1196.29 = $2147.40

Therefore, Marie is $10,000 richer at the end of the competition.

Learn more about Compound interest here :

brainly.com/question/25857212

#SPJ2

1. What is the surface area of the pyramid below
6 , 5.2 ,8.2

Answers

128.22? I’m not sure if it’s right because you did not specify the base length, width or height.

What is the answer to 2(5x+4)=8

Answers

Answer:

So first we have 10x = 0. We divide by 10 on both sides, so then we get x = 0. We still have 0 because 0/10 = 0.

So that means that the answer is

Write 10 in the first box 10 in the secondx=0

Answer:

? = 10

Step-by-step explanation:

2(5x+4)=8 - DISTRIBUTE

= 10x + 8 = 8

10x + 8 = 8

- 8

10x = 0

10x/10 = 0/10

x = 0

Colin spends 1/3 of his wages on rent and 1/4 on food. If he makes £636 per week, how much money does he have left?

Answers

Answer:

£265

Step-by-step explanation:

Total fraction of money spent= [tex]\frac{1}{3} +\frac{1}{4}[/tex]

                                                 = [tex]\frac{7}{12}[/tex]

Actual money spent = [tex]\frac{7}{12}[/tex] * £636

                                  = £371

Money he has left = £(636 - 371)

                               = £265

Answer:

$265

Step-by-step explanation:

In RST, the measure of

Answers

Answer:

27.5 degrees

Step-by-step explanation:

First, choose which method would work in this problem, SOH, CAH, or TOA.

We have opposite, O and adjacent, A. So we have an O and an A.

Thus, we should use TOA.

Tangent x = 44/84

Tangent x= 0.52

x= Tangent^-1 (0.52)

x=27.5 degrees

Answer:27.6

Step-by-step explanation:

How many solutions exist for the given equation?
CO
3(x - 2) = 22-X
name
zero
one
two
infinitely many




can someone help me pls​

Answers

Answer:

one

Step-by-step explanation:

3(x - 2) = 22 - x

3x - 6 = 22 - x

3x + x = 22 + 6

4x = 28

4x/4 = 28/4

x = 7

Look in pic to help!!

Answers

Answer:

Step-by-step explanation:

140-105 gives you the angle of X, X is then 35

Answer:

x = 65°

Step-by-step explanation:

The 2 base interior angles are adjacent to the external angles and are supplementary.

180° - 105° = 75°

180° - 140° = 40°

The sum of the 3 interior angles of a triangle = 180°

Subtract the sum of the 2 known interior angles from 180 for x

x = 180° = (75 + 40)° = 180° - 115° = 65°

Find the radius of a circle that has a circumference of 16 .
O r=4
O r=8
O r= 12
O r=16

Answers

Answer:

2.55

Step-by-step explanation:

To find the radius, the formula is:

R = C/2 x pi

pi = 3.14

16/(2 x 3.14) = 2.54648

= 2.55

Help me please this is due today help me

Answers

Answer:

Below

Step-by-step explanation:

1. -4, -|2|, -1, |-3|, 4

2. -7.5, -7.2, 9.5, 10.5

3. 7

5. 13

6. -9

7. [tex]\frac{5}{12}[/tex]

8. -1.36

9. [tex]\frac{13}{5}*[/tex][tex]\frac{-4}{3}[/tex][tex]=\frac{-52}{15}[/tex]

10. -27.2

11. 22 * 2 + 7 * 0 - 5 * 1 = 39

Ursula tosses two six-sided number cubes and ADDS the numbers rolled. Which of these is a list of the outcomes of the two row? A) 3, 4, 5, 6, 7, 8 B) 2,4,6,8, 10, 12 C) 5, 8, 11, 14, 17, 20 D) 0/25, 1/25, 3/25, 5/25, 6/25, 25/2

Answers

Answer:

A) 3, 4, 5, 6, 7, 8

Step-by-step explanation:

2+1, 2+2, 2+3, 2+4, 2+5, 2+6= 3, 4, 5, 6, 7, 8

Please answer the following:

Answers

CLASS 8 SPOT TEST

1. WHAT IS THE PROBABILITY THAT AN INTEGER CHOSEN AT RANDOM BETWEEN 1 TO 10 INCLUSIVE IS EVEN?

2. A BAG CONTAINS 5 WHITE, 4 BLACK AND 1 BLUE BALLS. ONE BALL IS CHOSEN AT RANDOM. WHAT IS THE PROBABILITY THAT IT IS BLACK?

3. FIND THE PROBABILITY OF GETTING AN ODD NUMBER IN A SINGLE TOSS OF A FAIR DIE?

4. A FAIR DIE IS THROWN 900 TIMES. FIND THE NUMBER OF TIMES YOU WOULD EXPECT TO GET A 6.

5. THE PROBABILITY THAT IT WILL BE CLOUDY TOMORROW IS 0.45. WHAT IS THE PROBABILITY THAT IT WILL NOT BE CLOUDY TOMORROW?

Step-by-step explanation:

1. Of the following 10 numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Only these 5 are even: 2, 4, 6, 8, 10.

The probability on an even number is 5 / 10 = 0.5 = 50%

2. The total number of balls is 10.

5 WHITE, 4 BLACK AND 1 BLUE

The probability on a black ball is 4 / 10 = 0.4 = 40%

3. A fair die can show the following 6 numbers 1, 2, 3, 4, 5, 6.

Only these 3 are odd: 1, 3, 5.

The probability on an odd number is 3 / 6 = 0.5 = 50%

4. The probability of a six is 1 / 6. If the die is cast for 900 times you can expect it to be 900 * 1 / 6= 900/6 = 150. The number of times you would expect a 6 would be 150.

5. If the probability on a cloudy tomorrow is 0.45, then in mathematics, that defines the propability for an non cloudy tomorrow as 1 - 0.45 = 0.55, which is 55%.

(The total should always add up to 100%).

PLEASE HELP FOR A BRAINLIEST!!!! Create your own example and explain how to solve Quadratic Equation using Quadratic Formula. What part in the Quadratic Formula is the discriminant and how do you know the number of solutions based on the value of the discriminant?

Answers

Answer:I'm gonna be doing a quadratic equation explaining step by step and using the formula so the example i'm gonna be using for today is

3[tex]x^{2}[/tex] +5[tex]x^{}[/tex]=7 I'm gonna answer the question then explain how i got the answer the i will explain to you  about the discriminant section

Step-by-step explanation:

So here is the explanation for the equation given above

One thing you need to know about quadratic equation is that there has to be a 0 on the other side of the equation given to you

3[tex]x^{2}[/tex]+5[tex]x^[/tex]-7=0

Therefore you have to group the numbers into a,b and c

a=3

b=5

c=7

Your'e gonna use a plus or minus sign like the one below

x=-(5)+[tex]\sqrt{}[/tex]5                                                                                                                                                                                                                                              

sorry i cannot understand it very well i tried though

         -

Find the x-intercept for the line represented by this equation 7x=2y-3 A. (-3/7,0) B.(0,-3/7) C.(3/2,0) D.(0,3/2)

Answers

Answer:

(-3/7, 0)

Step-by-step explanation:

7x=2y-3

To find the x intercept, set y = 0 and solve for x

7x = 0-3

7x = -3

Divide each side by 7

7x/7 = -3/7

x = -3/7

The x intercept is

(-3/7, 0)

Answer: A

Step-by-step explanation:

For the x-intercept, we know y=0. We can eliminate B and D.

We know either A or C is the correct answer. This line is linear so there should be only one x-intercept. We can solve this equation to see which is correct. Let's plug in A and C into the equation to see which is right.

A. Correct

[tex]7(-\frac{3}{7} )=2(0)-3[/tex]

[tex]-3=-3[/tex]

C. Incorrect

[tex]7(\frac{3}{2} )=2(0)-3[/tex]

[tex]\frac{21}{2}\neq -3[/tex]

Which property allows you to write the expression
(3 + 7i) + (8 − 6i) as (8 − 6i) + (3 + 7i)?


Answers

Answer:

3+7i

Step-by-step explanation:

Answer:

Associative

Step-by-step explanation:

I got it on edge hope ur not as far behind as me boys

For each hour he babysit,Anderson earns 1$ more than half of carey's hourly rate.Anderson earns 6$ per hour. wich equation can be used to solve for carey's hourly rate,c?

Answers

Answer:

The expression to find Carey's hourly rate is: [tex]c = 2*a - 2[/tex]. Carey's hourly rate is $10.

Step-by-step explanation:

Anderson receives 1 more than half of carey's hourly rate. If we call Anderson's rate by "a" and Carey's by "c", we can express this phrase in the following equation:

[tex]a = \frac{c}{2} + 1[/tex]

We want to find the Carey's rate, therefore we need to isolate the "c" variable.

[tex]\frac{c}{2} + 1 = a\\\frac{c}{2} = a - 1\\c = 2*a - 2[/tex]

Since Anderson earns $6, then we can find Carey's rate:

[tex]c = 2*6 - 2 = 12 - 2 = 10[/tex]

Answer:

A)

6 = c/2 + 1


Ken built a 20 foot square fence in his back yard and planted a tree every 5 feet along the fence. How many trees did Ken plant?

Answers

Answer: 41

Step-by-step explanation:

Answer:

c:16

Step-by-step explanation:

Describe how to use the formula C = StartFraction 5 Over 9 EndFraction (F minus 32) to find

Answers

Answer:

Answer is below

Step-by-step explanation:

C = 5/9(F - 32)        This equation is used to convert from Fahrenheit to Celsius on the temperature scale.

An example is listed below

C = 5/9(32 - 32)             Subtract in the parentheses

C = 5/9(0)                       Multiply

C = 0                       When it is 32 degrees Fahrenheit, it is 0 degrees Celsius

Answer:

you answer the question

Step-by-step explanation:

hope this help

Mrs. Olga’s credit card charges an interest rate of 19% compounded annually. If her current balance is $250, what will her balance be after 3 years?

Answers

Answer:

$421.30

Yearly Componded Interest

$250 * 19% = $47.50 = $297.50 <-- Year One Balance

$297.50 * 19% = $56.53 = $354.03 <-- Year Two Balance  

$354.03 * 19% = $67.27 = $421.30 <-- Year Three Balance  

Answer:

$421.29

Step-by-step explanation:

$250

19%

3 years

----------

$250*1.19³= $421.29

Kate gets a paycheck twice a month. Every month, a total of $345.67 is deducted from her paychecks for taxes. If she has received 7 paychecks so far this year, which best represents the total effect the taxes have had on the amount she has earned??

Answers

Answer:

The correct answer is -$1,209.85-verified by Edg. Thank you.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

WILL GIVE BRAINIEST!!! Find the sum of the first 200 positive even numbers.

Answers

Answer:

2+4+6+8+10+12+14+16+18+20+22+24+26+28+30+32+34+36+38+40+42+44+46+48+50+52+54+56+58+60+62+64+66+68+70+72+74+76+78+80+82+84+86...+400=40200

Step-by-step explanation:


The library is 3 miles east of the city hall. The mall is 10 miles west of the library. How far and in what direction is the mall from the city hall?

A. 7 miles west
B. 7 miles east
C. 13 miles west
D. 13 miles east

Answers

Answer:

A

Step-by-step explanation:

If the library is 3 miles east of the hall, and the mall is 10 miles west of the library, then do 10 - 3 to find the distance between the mall and hall, which is 7 miles.

The mall is also west of the city hall.

Answer:

a 7 miles west

Step-by-step explanation:

i took the test plz mark brainliest

Two points on a line are (3, 6) and (4, 9). What is the slope of the line?

Answers

Answer:

slope of line= 3

Step-by-step explanation:

slope of line= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

(X₁, Y₁)= (4, 9)

(X₂, Y₂)= (3, 6)

* The order of which one is the first coordinate or second does not matter. Just ensure that if you let the x-coordinate of 1 point to be X₁, the y-coordinate of the same point has to be Y₁.

Thus, slope of line

[tex] = \frac{9 - 6}{4 - 3} \\ = \frac{3}{1} \\ = 3[/tex]

Other Questions
One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for husbands and wives. Conduct a hypothesis test at the 5% level to see if the mean difference in the husband's versus the wife's satisfaction level is negative (meaning that, within the partnership, the husband is happier than the wife). Wife's score 2 2 3 3 4 2 1 1 2 4 Husband's score 2 1 2 3 2 1 1 1 2 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)(1) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.)(2) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)(3) What is the p-value? (Round your answer to four decimal places.)(4) Alpha (Enter an exact number as an integer, fraction, or decimal.) = When constructing an angle bisector of an angle, the first step is to drawQuestion 6 options:A) two arcs in the interior of the angle.B) a segment bisector of both the sides of the angle.C) a line passing through the intersection of the arcs and the vertex.D) an arc using the vertex as the center, intersecting both sides of the angle. When light with a wavelength of 225 nm is incident on a certain metal surface, electrons are ejected with a maximum kinetic energy of 2.98 10-19 J. Determine the wavelength (in nm) of light that should be used to double the maximum kinetic energy of the electrons ejected from this surface. What was Winston Churchill warning speech Explain the Indian Removal Act and the effects it had on Native American groups. the overall management of the availability, usability, integrity, and security of data used in an enterprise is called ? Which of the following group colonies voted against Confederationbut their leader joined anyways? (canada)Newfoundland Nova Scotia PEINew Brunswick (no spam pls) Both the flu and HIV are caused by a virus. Explain the difference between how HIV and the flu affect the immune system Using the order indicated, in Spanish write 3 sentences telling in what order Juan did these activities. You should also replace the direct object in each sentence with a direct object pronoun.Example: 7th/mir la televisinResponse: Sptimo, Juan la mir.1. 1st/comi la cena con su familia2. 2nd/lav los platos3. 3rd/hizo la tarea para maana*Note: This is a practice activity. Completing this activity will not only prepare you for future tests and assessments but, more importantly, it will enhance your language ability. This activity will not count towards your grade. (1 point) A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 25 times, and the man is asked to predict the outcome in advance. He gets 18 out of 25 correct. What is the probability that he would have done at least this well if he had no ESP Select the number line model that matches the expression |8 - 1| What is the image of (-1, 1) after a dilation of 2?O (1.3)O (2.2)O (-22) How does this narration presented in the film adaptation of the most dangerous game Jim goes to the store and buys 3 sodas for $1.29 each and a bag of chips for 1.59. What is Jim's subtotal? Court witnesses are asked "to tell the truth, the whole truth, and nothing but the truth." Research shows, however, that eyewitness accounts of crimes often are unreliable because even the most conscientious witnesses misremember details of what they observed. What other factors that might affect the "truth" a court witness presents? Part A: Factor x2y2 + 6xy2 + 8y2. Show your work. (4 points) Part B: Factor x2 + 8x + 16. Show your work. (3 points) Part C: Factor x2 16. Show your work. (3 points) (10 points) Two negative integers are 8 units apart on the number line and have a product of 308. Which equation could be used to determine x, the smaller negative integer? A: x^2 + 8x 308 = 0 B: x^2 8x + 308 = 0 C: x^2 + 8x + 308 = 0 D: x^2 8x 308 = 0 Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable.a. The number of light bulbs that burn out in the next year in a room with 19 bulbsb. The usual mode of transportation of people in City Upper Ac. The number of statistics students now doing their homeworkd. The number of home runs in a baseball gamee. The exact time it takes to evaluate 67 plus 29f. The height of a randomly selected person Which of the following can convey setting in a story? Name of character The age of the character The culture of the character The thoughts of a character Suzanne Brett wants to borrow $55,000 from the bank. The interest rate is 6.5% and the term is for 5 years.What is the yearly payment amount?