Think carefully about the angle relationship the following represents.







What is the value of x?


Think carefully about the angle relationship the following represents.







What is the value of x?


48


66


24


33

Item at position 2
2
1 point

Item at position 2
Based on your value of x in question #1, what is the value for \angle EHF∠EHF



Based on your value of x in question #1, what is the value for \angle EHF∠EHF



132 degrees


96 degrees


180 degrees


90 degrees

Item at position 3
3
1 point
Item at position 3
Think carefully about the angle relationship the following represents.







What is the value of x?


Think carefully about the angle relationship the following represents.







What is the value of x?


90


20


12


5/2

Item at position 4
4
1 point

Item at position 4
Think carefully about the angle relationship the following represents.







What is the value of \angle ZXY∠ZXY?


Think carefully about the angle relationship the following represents.







What is the value of \angle ZXY∠ZXY?


29 degrees


55 degrees


90 degrees


20 degrees

Item at position 5
5
1 point

Item at position 5
Think carefully about the angle relationship the following represents.







What is the value of x ?


Think carefully about the angle relationship the following represents.







What is the value of x ?


42


18


26


5

Item at position 6
6
1 point

Item at position 6
Think carefully about the angle relationship the following represents.







What is the value of \angle JML∠JML?


Think carefully about the angle relationship the following represents.







What is the value of \angle JML∠JML?


180 degrees


90 degrees


100 degrees


126 degrees

Think Carefully About The Angle Relationship The Following Represents.What Is The Value Of X?Think Carefully
Think Carefully About The Angle Relationship The Following Represents.What Is The Value Of X?Think Carefully
Think Carefully About The Angle Relationship The Following Represents.What Is The Value Of X?Think Carefully
Think Carefully About The Angle Relationship The Following Represents.What Is The Value Of X?Think Carefully
Think Carefully About The Angle Relationship The Following Represents.What Is The Value Of X?Think Carefully

Answers

Answer 1

Answer:

See below ↓↓↓

Step-by-step explanation:

Subquestion #1

These angles form a linear pairThey are supplementary, and add up to 180°2x + 48 = 1802x = 132x = 66

Subquestion #2

These angles are complementary, and add up to 90°35 + 4x + 7 = 904x + 42 = 904x = 48x = 12

Subquestion #3

As in #1, they are a linear pair, and are supplementary3x + 54 = 1803x = 126x = 42
Answer 2

#1

Linear pair

\(\\ \rm\Rrightarrow 2x+48=180\)

\(\\ \rm\Rrightarrow x+24=90\)

\(\\ \rm\Rrightarrow x=66\)

#2

Complementary angles

\(\\ \rm\Rrightarrow 4x+7+35=90\)

\(\\ \rm\Rrightarrow 4x+42=90\)

\(\\ \rm\Rrightarrow 4x=48\)

\(\\ \rm\Rrightarrow x=12\)

4x+7=4(12)+7=55°

#3

\(\\ \rm\Rrightarrow 3x+54=180\)

\(\\ \rm\Rrightarrow 3x=126\)

\(\\ \rm\Rrightarrow x=42\)


Related Questions

A $52.50 screen door is on
sale for $42. Find the percent
of discount on the door.

Answers

Answer:

20%

Step-by-step explanation:

Given/To Find:

A $52.50 screen door is on

sale for $42. Find the percent

of discount on the door.

Solve:

Formula: Value 1 - Value 2 ÷ Original Value × 100

Hence we have:

52.50 - 42 = 10.5

10.5 ÷ 52.50 = 0.20

0.20 × 100

=20%

Check Answer:

52.50 × 20% = 10.5

52.50 - 10.5 = 42

Hence, the percent of discount on the door is 20%

Kavinsky


At Johnson's Pharmacy, tissue boxes can be purchased as single boxes or in packs of three boxes. During January, Johnson's sells a
Cotal of 379 boxes of tissues, 68 as single boxes, and the rest in three-packs. Which equation shows the number of tissue three-
packs, p, Johnson's sold in January?

Answers

Answer:

379-68=p

Step-by-step explanation:

379 is the total number of tissues. If you take away the single pack tissues then you will have the amount of three pack tissues

The correct equation that shows the number of tissue three-packs, p, Johnson's sold in January is, p = 379 - 68.

Use the concept of subtraction defined as:

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that,

At Johnson's Pharmacy, tissue boxes can be purchased as single boxes or in packs of three boxes.

Here, During January, Johnson's sells a total of 379 boxes of tissues, 68 as single boxes, and the rest in three-packs.

Let us assume that, the number of tissue three-packs = p

Hence we get;

p = 379 - 68

p = 311

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Which of the following is the best definition for the word "proportion"
an average combined value of numbers in a data set
an equation stating that two ratios are equivalent
a relationship between quantities
a number that describes the direction and steepness of a line
PLS HELP

Answers

Answer:

The. second one i think because proportion is amount to somthing elese

A car costs $25,750.00 and depletes in value by 20% per year. How much would the car be worth after 5 years?
A) $5,150
B) $8,437.76
C) $8,240
D) $20,600

Answers

Answer : B

First year : 25750 x 80% = 20600
Second year : 20600 x 80% = 16480
Third year : 16480 x 80% = 13184
Fourth year : 13184 x 80% = 10547.2
Fifth year : 10547.2 x 80% = 8437.76

The answer is c $8,240 to the question

please help me with this

please help me with this

Answers

Answer:

d. 42 is the 100% correct answer....

Hopes it helps you.....

Hopes to get BRAINLIEST.......

Thank you ☺️

American airlines requires that total outside dimensions (length+width+height) of a checked bag not exceed 62 inches.Suppose you want to check a bag whose height is same as its width.What is the biggest volumn bag of this shape that you can check on an american flight

Answers

Answer:

The maximum  volume is 35316.4 in^3.

Step-by-step explanation:

Length + width + height is less than equal to 62 inches

Height = width = W

Let the length is L .

\(L + W + W = 62 \\\\L= 62 - 2 W\\\\Volume, V = L W H\\\\V = (62 - 2 W)\times W \times W\\\\V = 62 W^2 - 2 W^3\\\\\frac{dV}{dW}=124 W - 6 W^2\\\\So, \frac{dV}{dW} =0\\\\124 = 6 W\\\\W = 20.67 inches\)

So, the maximum volume is

\(V =124\times 20.67\times 20.67 - 2 \times 20.67^3\\\\V =52978.86 - 17662.46 = 35316.4 inch^3\)

Use simplex algorithm to solve the following Linear Programming model. Clearly state the optimal solution and the values for decision variables you obtained from the optimal tableau.
max=2x1+3x2−x3
s.t.
3x1+x2+x3≤60
2x1+2x2+4x3≤20
4x1+4x2+2x3<=80
x1,x2,x3≥0

Answers

The optimal solution for the given linear programming model is:

max z = 38

when x1 = 5, x2 = 10, x3 = 0

What is the optimal solution obtained from the simplex algorithm?

To solve the given linear programming model using the simplex algorithm, we start by converting the inequalities into equations and introducing slack variables. The initial tableau is constructed with the coefficients of the decision variables and the right-hand side constants.

Next, we apply the simplex algorithm to iteratively improve the solution. By performing pivot operations, we move towards the optimal solution. In each iteration, we select the pivot column based on the most negative coefficient in the objective row and the pivot row based on the minimum ratio test.

After several iterations, we reach the optimal tableau, where all the coefficients in the objective row are non-negative. The optimal solution is obtained by reading the values of the decision variables from the tableau.

In this case, the optimal solution is z = 38 when x1 = 5, x2 = 10, and x3 = 0. This means that to maximize the objective function, the decision variables x1 and x2 should be set to 5 and 10 respectively, while x3 is set to 0.

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\(x - 4z = 12x - y - 6z = 42x + 3y - 2z = 8\)

Answers

The value of x = 16, y = 172 and z = 2.

x - 4z = 12x - y - 6z = 42x + 3y - 2z = 8

let x - 4z = 8 be equation (1), 12x - y - 6z = 8 be equation (2) and 42x + 3y - 2z = 8 be equation (3)

x - 4z = 8

x = 8 + 4z

12x - y - 6z = 8

12(8 + 4z) -y - 6z =8

96 + 48z - y - 6z = 8

42z - y = -88

y = 42z + 88

42x + 3y - 2z = 8

42(8+4z) + 3(42z + 88) - 2z = 8

336 + 168z + 126z + 264 - 2z = 8

168z + 126z + 2z = 336+264 - 8

296z= 592

z = 2

substituting the value of z

x = 8 + 4z

= 8 + 4(2)

8+8 = 16

y = 42z + 88

42(2) + 88

84 + 88= 172

The value of x = 16, y = 172 and z = 2.

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The time until the next car accident for a particular driver is exponentially distributed with a mean of 200 days. Calculate the probability that the driver has no accidents in the next 365 days, but then has at least one accident in the 365-day period that follows this initial 365-day period.

Answers

The probability that the driver has no accidents in the next 365 days, but then has at least one accident in the 365-day period that follows this initial 365-day period, is approximately 0.204.

Let X be the time until the next accident for the driver. We know that X is exponentially distributed with a mean of 200 days, which means that its probability density function (PDF) is:

\($f(x) = \frac{1}{200} e^{-\frac{x}{200}} \text{ for } x > 0$\)

We want to calculate the probability that the driver has no accidents in the next 365 days (i.e., from day 0 to day 365), but then has at least one accident in the 365-day period that follows (i.e., from day 366 to day 730). We can express this probability as:

P(no accidents in first 365 days) * P(at least one accident in next 365 days | no accidents in first 365 days)

The probability of having no accidents in the first 365 days is simply the cumulative distribution function (CDF) of X evaluated at x = 365:

\($F(365) = \int_{0}^{365} f(x) dx = 1 - e^{-\frac{365}{200}} \approx 0.451$\)

The probability of having at least one accident in the next 365 days, given that there were no accidents in the first 365 days, can be calculated using the memoryless property of the exponential distribution:

P(at least one accident in next 365 days | no accidents in first 365 days) = P(X < 365) = F(365) ≈ 0.451

Therefore, the probability we are interested in is:

P(no accidents in first 365 days) * P(at least one accident in next 365 days | no accidents in first 365 days)

= 0.451 * 0.451 ≈ 0.204

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301,251,769 to the nearest ten thousand

Answers

Answer:

301,250,000

I'm pretty sure that's it.

It would be 301,250,000 I think

the product of 8 and p

Answers

Answer:

8p

Step-by-step explanation:

Multiply 8 and p.

The same phone company offers another plan where they charge $15 per month and $0.25 for each call made or received. Write and evaluate an expression to find the cost for 40 calls during one month. Then make a table showing the cost for 40, 50, 60 and 70 calls.

Answers

Answer:

15+0.25(40)=25 dollars total

0.25(40)=10 dollars just for the 40 phone calls

___calls__________money_________

        40             =           10

         50            =            12.5

         60            =            15

          70           =             17.5

Step-by-step explanation:

25 cents times 40 phone calls would be 10 dollars then you have to add the standard 15 dollars per month for the plan to get your total cost per month if you were to make 40 phone calls.

Determine the expected count for each outcome. n = 749
i 1 2 3 4
Pi 0.12 0.39 0.24 0.25

Answers

Determine the expected count for each outcome, we multiply the probability of each outcome by the total count. In this case, with n = 749 and the given probabilities, we can calculate the expected count for each outcome.

The expected count for each outcome can be calculated by multiplying the probability of each outcome by the total count, which is n = 749 in this case.

For outcome 1, the expected count is calculated as 0.12 * 749 = 89.88.

For outcome 2, the expected count is calculated as 0.39 * 749 = 291.11.

For outcome 3, the expected count is calculated as 0.24 * 749 = 179.76.

For outcome 4, the expected count is calculated as 0.25 * 749 = 187.25.

Therefore, the expected count for each outcome is approximately 89.88 for outcome 1, 291.11 for outcome 2, 179.76 for outcome 3, and 187.25 for outcome 4. These values represent the average number of occurrences we would expect for each outcome based on the given probabilities and the total count of 749.

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Suppose you conduct one experiment and find that the e = mc3, rather than the historically accepted formula, e = mc2. what should you do next?

Answers

We will repeat the exact same procedure. Something may have gone wrong.                                                                                                    

The special theory of relativity by German-born scientist Albert Einstein contains the equation \(E=mc^{2}\), which conveys the idea that mass and energy are one and the same physical substance and may be transformed into one another. The kinetic energy (E) of a body is equal to its increased relativistic mass (m) multiplied by the square root of the speed of light.

Because the mass and the speed of light are both constants, we are unable to test a new variable. Since our findings don't match the accepted formula, we cannot share them.

The result obtained is wrong we cannot apply it to another experiment. The only way we can find the correct result is by repeating the experiment. Because something may have gone wrong on the first attempt.

Therefore, the correct answer is

d) Repeat the exact same procedure.  

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The correct question is: Suppose you conduct one experiment and find that the \(E=mc^{3}\), rather than the historically accepted formula, \(E=mc^{2}\). What should you do next?

a.Test a new variable

b.Share your findings

c.Apply your results to a new experiment

d.Repeat the exact same procedure                                                                                                                                                                                                                                                                                                                                                                                      

                                                                                                                                                                                                                                                                                               

Observe the expression below and select the true statement(s). The "a" in the first term is a factor. The "(a + 1)" in the first term is a factor. The "3" in the last term is a constant. The "b" in the second term is an exponent. The "1" in the first term is a coefficient. The "4" in the second term is a coefficient.

Answers

Answer:

The true statements are B, D, A

Step-by-step explanation:

need help on this too ​

need help on this too

Answers

Answer:

The reflexive property of equality states that any number is equal to itself. This property has no proof, as it is the fundamental building-block of all other proofs.

Step-by-step explanation:

You have the same bowl, with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. You take out an orange candy from the bowl. What is the new probability that you will draw another orange candy? A 1 5 ​5 ​ ​1 ​​ B 1 6 ​6 ​ ​1 ​​ C 1 8 ​8 ​ ​1 ​​ D 5 2 4 ​24 ​ ​5 ​​

Answers

Answer: 3/8

Step-by-step explanation: You have a 1 in 5 chance of pulling an orange.

5/25, or if you need to simplify then 1/5

Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places X y 3 6 LO 5 Function A 9 10 15 Function 8 ts equation is y = 12 20 15 25 is linear. X+ 9 8 6 4 3 2 1 0 y 0 1 2 3 Function B 4 5 6 7 8 9 X​

Consider the two functions below. Which one of these functions is linear? What is its equation? Enter

Answers

Answer:

98

Step-by-step explanation:

B456789X+235575336

Help I need the answer dont send NO FILE only answer if you know it step by step explanation

Help I need the answer dont send NO FILE only answer if you know it step by step explanation

Answers

i believe the answer would be (-3,4)

D) Does a linear relation exist between the commute time and well-being index score?
A. Yes, there appears to be a negative linear association because r is negative and is less than the negative of the critical value
B. No, there is no linear association since r is positive and is less than the critical value
C. Yes, there appears to be a positive linear association because r is positive and is greater than the critical value
D. Yes, there appears to be a positive linear association because r is positive and is less than the critical value

Answers

The correct answer is: B. No, there is no linear association since r is positive and is less than the critical value.

In the given answer choices, it states that r (the correlation coefficient) is positive. A positive correlation indicates a tendency for the variables to move in the same direction. However, the question asks whether a linear relation exists between the commute time and well-being index score, not the direction of the association.

Furthermore, the answer suggests that the correlation coefficient is less than the critical value. The critical value is a threshold used to determine the statistical significance of the correlation. If the correlation coefficient is less than the critical value, it indicates that the correlation is not statistically significant.

Therefore, based on the information given, we cannot conclude that there is a linear relation between the commute time and well-being index score.

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What is the SLOPE of the line that goes through the points (20,-3) and
(-16.-3)?

What is the SLOPE of the line that goes through the points (20,-3) and(-16.-3)?

Answers

Answer:

0

Step-by-step explanation:

m=y2-y1

____

x2-x1

m=-3-(-3) =(-3+3)/(-36) =0/-36=0

_____

-16-20

HELP ILL MARK YOU BRAINLIST

HELP ILL MARK YOU BRAINLIST

Answers

Answer:

-2

Step-by-step explanation:

You can see that when x goes up by 1, y goes down by 2. This means the rate of change is -2

Answer:

The rate of change is -2

Step-by-step explanation:

Take any two points from the graph. (0,-4) and (-2,0). Plug them into the equation y2-y1/x2-x1. In this case the equation would be 0--4/-2-0. Simplify this and get 0+4/-2-0. Simplify again and get 4/-2 which is -2

Therefore the rate of change is -2

Hope this helps

Increase 31 kg by 100%.​

Answers

Answer:
62kg

Explanation:
If you increase something by 100%, it means you double the one which is being increased.

Um avião levanta voo na cidade de Vitória - ES com destino a São Paulo - SP. Durante os dez primeiros minutos de voo, sua velocidade aumenta até atingir 800 km/h. A partir daí, o piloto automático é acionado, e essa velocidade permanece constante até que, cinquenta minutos após a decolagem, o piloto é orientado pela torre de controle para reduzir a velocidade para 600 km/h. Três minutos após essa orientação, o avião atinge 600 km/h e permanece nessa velocidade por mais 17 minutos, até iniciar os procedimentos de pouso na cidade de São Paulo, onde sua velocidade diminui até o pouso. O gráfico que melhor representa a velocidade desse avião em função do tempo é

Answers

Responda:

GRÁFICO DE TEMPO DE VELOCIDADE

Explicação passo a passo:

Para a pergunta, encontre o gráfico de velocidade-tempo no anexo.

O gráfico que melhor representa a velocidade desse avião em função do tempo é o gráfico velocidade-tempo. O gráfico de velocidade e tempo é um gráfico que representa o movimento de um objeto esquematicamente usando linhas. Ele é plotado em um plano de coordenadas com o eixo xe o eixo y.

A função de velocidade é posicionada no eixo y, enquanto o tempo gasto ao longo da viagem está no eixo x.

Pelo anexo, pode-se ver que o avião acelera em OA, possui velocidade constante em AB e CD e tem aceleração (desaceleração) negativa em BC e DE.

Um avio levanta voo na cidade de Vitria - ES com destino a So Paulo - SP. Durante os dez primeiros minutos

(180-x)+(90-x) = 124

Answers

Answer:

x = 73

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define equation

(180 - x) + (90 - x) = 124

Step 2: Solve for x

Combine like terms:                         270 - 2x = 124Subtract 270 on both sides:            -2x = -146Divide -2 on both sides:                   x = 73

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                         (180 - 73) + (90 - 73) = 124Subtract:                            107 + 17 = 124Add:                                   124 = 124

Write in slope-intercept form with the given information. Show all work. Passes through (-8,3) with a slope of -2

Answers

Answer:

y=-2x-13

Step-by-step explanation:

y=mx+b

3=-2(-8)+b

3=16+b

3-16=b

-13=b

At Wegmans a 12 pack of paper towels costs $15.72. At Tops a 10 pack of paper towels cost $13.35. Which store has the better buy? What is the difference in unit prices?

Answers

Answer:

Wegman's, roughly 3 cents

Step-by-step explanation:

Divide the price by the number of paper towels in the pack to get the unit price.

$15.72/12= $1.31

$13.35/10= $1.335, round since it's money, $1.34

$1.34-$1.31= $0.03 or 3 cents

Wegmans has the better buy, as their unit price is lower.

The difference in unit prices between the two stores is $0.03 per paper towel.

To determine which store has the better buy, we need to compare the unit prices of paper towels at both Wegmans and Tops.

The unit price is the cost per paper towel.

For Wegmans:

Cost of 12 pack of paper towels = $15.72

Number of paper towels in the pack = 12

Unit price at Wegmans = Total cost / Number of paper towels

Unit price at Wegmans = $15.72 / 12 = $1.31 per paper towel

For Tops:

Cost of 10 pack of paper towels = $13.35

Number of paper towels in the pack = 10

Unit price at Tops = Total cost / Number of paper towels

Unit price at Tops = $13.35 / 10 = $1.34 per paper towel

Now, we compare the unit prices:

At Wegmans, the unit price is $1.31 per paper towel.

At Tops, the unit price is $1.34 per paper towel.

The store with the lower unit price has the better buy.

In this case, Wegmans has the better buy, as their unit price is lower.

To find the difference in unit prices:

Difference in unit prices = Unit price at Tops - Unit price at Wegmans

Difference in unit prices = $1.34 - $1.31 = $0.03 per paper towel

So, the difference in unit prices between the two stores is $0.03 per paper towel.

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6- Karen is making a frame for a square picture with an area of 169 square inches. How
many inches of framing are needed?
a) 13
b) 14
c) 15
d) 16



PLEASE HURRY! I WILL MARK YOU BRAINLIST OR WHATEVER... IF YOU DO IT PLEASE

Answers

Answer: a

Step-by-step explanation:

Tell me if it is correct

Jimmy, Jimbo and Jim Bob are all GT Algebra II students. It takes Jimmy 8 minutes to solve a 3-variable substitution problem without a calculator. Together, it takes Jimbo and Jim Bob 6 minutes to solve a 3-variable substitution problem without a calculator. If Jim Bob can solve a problem by himself in 14 minutes, how long would it take Jimbo to solve a problem alone?

It would take Jimbo
Question Blank 1 of 1
type your answer. Minutes to solve a problem alone

Answers

It would take Jimbo 24 minutes to solve a 3-variable substitution problem alone.

Let's assume that Jimbo takes x minutes to solve a 3-variable substitution problem alone.

We know that Jimmy takes 8 minutes to solve the same problem alone, so his work rate is 1/8 of the problem solved per minute.

Together, Jimbo and Jim Bob can solve the same problem in 6 minutes. This means that their combined work rate is 1/6 of the problem solved per minute.

We can set up the following equation to represent the work rates:

1/8 + 1/x = 1/6

To solve for x, we can multiply both sides of the equation by 24x:

3x + 24 = 4x

x = 24

Therefore, it would take Jimbo 24 minutes to solve a 3-variable substitution problem alone.

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Which equations have the same value of x as x+3 -- Select three options.
-9
5x+4.-54
15x+4.-9
5x-13
5x -58
will mark brainlest

Answers

Answer:

A)5x+4.-54

C)5x -58

B)15x+4.-9

Step-by-step explanation:

I think the second option with the 3rd option and the last option
Hope this helps
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Use the point-slope formula to write an equation of the line that passes through (1,0) and has a slope of m=-4. Write the answer in slope- intercept form ( if possible) how does lalil feel about Tariq in Thousand Splendid Suns How can a novels comment on the human experience be communicated through an artistic medium?need a couple paragraphs List the seven indications given in the AARC guideline for bland aerosol administration.1. Presence of upper airway edema (cool, bland aerosol) 2. Presence of a bypassed upper airway. 3. Need for sputum specimens. 4. LTB 5. Postextubation edema 6. Postoperative management of the upper airway. 7. Subglottic edema A simply supported beam is subjected to a uniform service dead load of 1. 0 kips ft (including the weight of the beam), a uniform service live load of 2. 0 kips ft, and a concentrated service dead load of 40 kips. The beam is 40 feet long, and the concentrated load is located 15 feet from the left end. The beam has continuous lateral support, and A572 Grade 50 steel is used. Is a W30 3 108 adequate? when will this occur? hint: remember that velocity equals distance divided by time. also, consider the rate at which old plate is being subducted and the rate at which new plate is being created. 10.2 million years what will happen to the cascade volcanoes when the above happens? 1. The manager of FrozonAir Refrigerator factory notices that on Monday it cost the company a total of $25,000 to build 30 refrigerators and on Tuesday it cost $30,000 to build 40 refrigerators. Find a linear cost function based on this information. What is the daily fixed cost, and what is the marginal cost? If an entire chromosome is missing or added that ultimately leads to a recognizable _________, also known as a cluster of distinct characteristics that tend to occur together. Paragraph 1: Introduction - Write 5 sentences about how knowing our rights helps usin our daily lives. (hint: who, what, when, where, why, and how)bill of rights pls help with this question!thx! PLSSSSSSSS HELP ILL GIVE BRAINLIEST!!!!!! I CHOSE DOES SOCIETY HAVE A AFFECT ON OUR BODY. Drag each tile to the correct box. Match each group discussion strategy with a description of how to use it. Think carefully about what you want Work collaboratively with group to say and say what you mean. Members and ask thoughtful questions Use exact language and provide examples to support your points. Make eye contact with group members and ask thoughtful questions.. Be clear. arrowRight Listen carefully. arrowRight Speak deliberately. arrowRight whiches goes in the blanks 21 times what equals 84? Answer first and get brainliest A pharmaceutical drugs manufacturing company consumes 600,000 kw-hrs of electrical energy annually and pays an average of $2.00/kw-hr. A study being conducted to generate its own power to supply the company with the energy required, shows that the power plant to be installed would require an initial investment of $2,000,000; annual operation maintenance of $800,000; and additional annual expenses of $220,000. The power plant has a 15-year life and a residual value of $200,000. If MARR-15%, determine whether the installation of the power plant is necessary or not. Write down the following: i. the name of each coordinate used for the Equatorial system (the one used to find the location of objects in the sky) ii. the units used for each these two coordinates iii. their range of values for each coordinate ALGEBRA Michella Hong noticed that her gross pay per period increased by $2,800 when her employer changed from a bi-weekly pay plan to a monthly pay plan. What is Michelle's annual salary Time Dilation Ranking TaskFive identical quintuplets leave earth when they reach the age of 21, in the year 2121. Each quintuplet goes on a spaceship journey that takes T years, as measured by a clock in each spaceship. During the journey they travel at a constant speed v, as measured on earth, except during the relatively short acceleration phases of their journey.Part ARank these quintuplets on the basis of the year on earth when they return from their journey.Rank from largest to smallest. To rank items as equivalent, overlap them.A: T=20years, v=0.4cB: T= 5years, v=0.2cC: T=10years, v=0.8cD: T=10years, v=0.4cE: T=20years, v=0.8cPart BRank these quintuplets on the basis of their age when they return from their journey.Rank from largest to smallest. To rank items as equivalent, overlap them.A: T=20years, v=0.4cB: T= 5years, v=0.2cC: T=10years, v=0.8cD: T=10years, v=0.4cE: T=20years, v=0.8c Write the inequality for the situation. Penny has 7 dollars. Fred has fewer dollars than Penny. Left F=Fred A committee of 3 is being formed randomly from the employees at a school: 5 administrators, 34 teachers, and 4 staff. What is the probability that all 3 3 members are administrators? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth. The area of a rectangle is 5 x cubed 19 x squared 6 x minus 18 with length x 3. Using synthetic division, what is the width of the rectangle? 5 x squared 4 x minus 6 5 x squared 34 x 108 StartFraction 306 Over x 3 EndFraction 5 x cubed 4 x squared minus 6 x 5 x squared 34 x 108 StartFraction 306 Over x minus 3 EndFraction.