Evaluate each expression. Name the property used in each step.

Evaluate Each Expression. Name The Property Used In Each Step.

Answers

Answer 1

Answer:

7). 1

8). 3

9). 1

Step-by-step explanation:

7). [tex][3\div (2\times 1)]\frac{2}{3}[/tex]

  [tex]=[3\div 2]\frac{2}{3}[/tex]

  [tex]=\frac{3}{2}\times \frac{2}{3}[/tex]

  [tex]=1[/tex]

8). [tex]2(3\times 2-5)+3\times \frac{1}{3}[/tex]

  [tex]=2(6-5)+\frac{3}{3}[/tex]

  [tex]=2(6-5)+1[/tex]

  [tex]=2+1[/tex]

  = 3

9). [tex]6\times \frac{1}{6}+5(12\div 4-3)[/tex]

  [tex]=6\times \frac{1}{6}+5(\frac{12}{4}-3 )[/tex]

  [tex]=1+5(3-3)[/tex]

  = 1


Related Questions

A teacher interested in determining the effect of a new computer program on learning to read conducted a study. One hundred students were randomly assigned to one of tu
groups. The first group used the computer program while the second group did not. Both groups were tested to determine how much their reading levels improved. The results for the two groups were compared. What kind of study is this?

Answers

Answer:

This is an experiment because a treatment was applied to a group.

Step-by-step explanation:

There are two groups, The first group used the computer program while the second group did not therefore this is an experiment. An experiment involves changing an independent variable to see how it affects a dependent variable. The dependent variable in this case  determining the effect of a new computer program on learning while the independent variables was testing with the computer program and not testing with the program.

Can integers be written as fractions?

Answers

Answer:

Step-by-step explanation:

Yes you can just write them with denominator 1,

So 3 = 3/1 and -6 = -6/1.

Answer:

Yes.

Step-by-step explanation:

ALL real numbers can be written as fractions, and since integers fall under the category of real numbers, it is official that they can be written as fractions.

I am joyous to assist you at any time.

4.
Aliyah, Brenda and Candy share a sum of money in the ratio of 3:5:6. After
Candy gives $100 to Aliyah and $50 to Brenda, the ratio becomes 2 : 3:3.
(a) Suppose Aliyah has $3x at the start, express Candy's initial sum of money in
terms of x.
(b) Find the value of x.
(c) Hence, how much money does Brenda have in the end?

Answers

Answer:

(a) Candy's initial sum as a terms of x is $6x

(b) x = $60

(c) $350

Step-by-step explanation:

The given parameters are;

The ratio in which Aliyah, Brenda and Candy share the sum of money = 3:5:6

The amount Candy later gives Aliyah = $100

The amount Candy later gives Brenda = $50

The new ratio of the sum of the shared money between Aliyah, Brenda and Candy = 2:3:3

(a) Whereby Aliyah has $3x at the start, we have;

Total sum of mony = Y

Amount of Aliyah's initial share = Y × 3/(3 + 5 + 6) = Y×3/14

Therefore, Y×3/14 = $3x

x = Y×3/14 ÷ 3 = Y/14

Amount of Candy's initial share = Y × 6/14

Therefore Candy's initial sum as a terms of x = $6x

(b) Given that Aliyah's and Candy's initial sum as a function of x are   $3x and $6x, therefore, in the ratio 3:5:6, Brenda's  initial sum as a function of x = $5x

Which gives;

Total amount of money = $14x

With

6x - 150, 3x + 100, and 5x + 50, the ratio =is 2:3:3

Therefore, we have;

14·x × 2/(2 + 3 + 3) = (6·x - 150)

14·x × 2/(8) = (6·x - 150)

14·x × 1/4 = (6·x - 150)

7·x/2 = (6·x - 150)

12·x - 300 = 7·x

12·x - 7·x = 300

5·x = 300

x = $60

(b) The final amount of money with Brenda = 5x + 50 = 5 × 60 + 50 = $350

The final amount of money with Brenda = $350.

The weight of a small starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of 10 grams. Find the weight that corresponds to each event (round your final answers to 2 decimal places)

Answers

The weight of a small starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of 10 grams. Find the weight that corresponds to each event (round your final answers to 2 decimal places)

a. Highest 10 percent

b. Middle 50 percent

Answer:

the weight that corresponds to  Highest 10% = 337.8

the weight that corresponds to  Middle 50 % lies between 318.26  and 331.74

Step-by-step explanation:

From the information provided for us:

we have the mean = 325

the standard deviation = 10

The objective is to find the weight that corresponds to each event  i.e for event (a) , highest 10%

So;

The probability of P (Z > z) = 10%

Same as:

0.1 = 1 - P( Z < z)

P( Z < z) = 1 - 0.1

P( Z < z) = 0.9

From the standard normal tables for z;

P( Z < 1.28) = 0.9

z = 1.28

Similarly. from the z formula; we have:

[tex]z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]z \times \sigma = X - \mu[/tex]

[tex]z \times \sigma + \mu= X[/tex]

[tex]X= z \times \sigma + \mu[/tex]

X = (1.28 × 10) + 325

X = 12.8 + 325

X = 337.8

Therefore, the weight that corresponds to  Highest 10% = 337.8

b.  the weight that corresponds to  Middle 50 % can be computed as follows:

the region of z values at 0.50 lies between -0.674 and +0.674

from the z formula; we have:

[tex]z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]z \times \sigma = X - \mu[/tex]

[tex]z \times \sigma + \mu= X[/tex]

[tex]X= z \times \sigma + \mu[/tex]

X = -0.674 × 10 + 325  and  X = 0.674 × 10 + 325

X = - 6.74 + 325   and      X = 6.74  + 325

X = 318.26  and    X = 331.74

the weight that corresponds to  Middle 50 % lies between 318.26  and 331.74

Question 9(Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the
graph of y = f(x) with the graph of y = f(x - 9)?
The graph of y = f(x) will shift up 9 units.
The graph of y = f(x) will shift down 9 units.
The graph of y = f(x) will shift left 9 units.
The graph of y = f(x) will shift right 9 units.

Answers

Answer:  D) right 9 units

Step-by-step explanation:

The Vertex form of a quadratic equation is: y = a(x - h)² + k     where

a is the vertical stretch or shrink(x, h) is the vertex

        → h is the horizontal shift (+ is right, - is left)

        → k is the vertical shift (+ is up, - is down)

y = f(x - 9)

            ↓

           h=9

Since h is positive, the graph moves 9 units to the RIGHT

Answer:

The graph of y = f(x) will shift right 9 units.

Step-by-step explanation:

If the -9 is inside the parenthesis, the graph g(x) shifts 9 points to the right.

Which property can you use to show that 6x – 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5)?

Answers

Answer:

Distributive property

Step-by-step explanation:

6x – 3x + 9y + 4 + 11 =

First, we combine like terms.

= 3x + 9y + 15

Now we use the distributive property to factor out a common factor.

= 3(x + 3y + 5)

The  property can you use to show that 6x – 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5) is  Distributive property

What is Distributive property

To show that 6x - 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5), we can use the distributive property of multiplication over addition.

The distributive property states that for any real numbers a, b, and c:

a(b + c) = ab + ac

6x – 3x + 9y + 4 + 11 =

First, we combine like terms.

= 3x + 9y + 15

Now we use the distributive property to factor out a common factor.

= 3(x + 3y + 5)

Read more about  Distributive property here:

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I need help on both answers. They’re different from my other problems so I’m kinda confused

Answers

i think it would be b but
i’m not sure about the other one

Jessica recently purchased her dream car a Porsche 911. for $55,000. the value of this car will depreciate by 8% each year. Find the value of the car after 5 years.
55,000(0,92)^5= $36,249.

Answers

Answer:

The future value of the car after 5 years is $36,249.5

Step-by-step explanation:

Given the value at which a car depreciates, we are interested in finding the value of the car after a period of 5 years.

To find the value, we make use of an exponential equation;

The exponential equation to use is;

FV = PV(1 - r)^n

where FV is the future value of the car which is what we want to calculate

PV is the present value of the car which is $55,000

r is the depreciation percentage = 8% = 8/100 = 0.08

n is the number of years.

So now, we input these values into the formula;

FV = 55,000(1 -0.08)^5

FV = 55,000(0.92)^5

FV = $36,249.5

In the expression 2^3 the 2 is known as the


base

exponent

rational number

irrational number

Answers

Answer:

Hey there!

In this problem, 2 is known as the base.

Let me know if this helped :)

Answer:

The Base

Step-by-step explanation:

The base in a power is the number being raised to the exponent's power. It is the bigger number in the power.

2 is being raised to the third power. This means that 2 is the base of the power.

3 would be the exponent in the power.

Brainilest Appreciated.

Complete the equation of the line through (-8, 8) and (1, -10).
Use exact numbers.
y =

Answers

Answer:

y = -2x - 8

Step-by-step explanation:

Find the slope using rise/run (y2 - y1) / (x2 - x1)

(-10 - 8) / (1 + 8)

-18/9

= -2

Next, plug in the slope and a point into the equation to find b:

y = mx + b

-10 = -2(1) + b

-10 = -2 + b

-8 = b

Now, plug this and the slope into the equation:

y = -2x - 8

What is the tangent ratio of KJL? (Question and answers provided in picture.)

Answers

Answer:

Option (1)

Step-by-step explanation:

The given triangle JKL is an equilateral triangle.

Therefore, all three sides of this triangle will be equal in measure.

Side JK = JL = KL = 48 units

Perpendicular LM drawn to the base JK bisects the base in two equal parts JM and MK.

By applying tangent rule in ΔJML,

tan(∠KJL) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

                = [tex]\frac{\text{LM}}{\text{JM}}[/tex]

                = [tex]\frac{\text{LM}}{24}[/tex]

Since, Sin(K) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

Sin(60)° = [tex]\frac{\text{LM}}{48}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{\text{LM}}{48}[/tex]

LM = 24√3

Now, tan(∠KJL) = [tex]\frac{\text{LM}}{24}[/tex]

                          = [tex]\frac{24\sqrt{3} }{24}[/tex]

Therefore, Option (1) will be the answer.

A coin is tossed 7 times. What is the probability that the number of heads obtained will be between 2 and 7 inclusive? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

Answer:

0.9375

Step-by-step explanation:

Given the following :

Number of coin tosses = 7

Probability that number of heads obtained will be between 2 and 7 inclusive?

x = 2,3,4,5,6,7

Probability (P) = number of required outcomes / total possible outcomes

For a coin toss = 1 Head (H), 1 tail (T)

P(H) = 1 / 2

P(X) = C(7,x) * (1/2)^7

P(X) = C(7, x) / 0.5^-7

P(X) = [C(7,2) + C(7, 3)+ C(7,4) +C(7,5) + C(7,6) +C(7,7)] / 128

P(X) = (21 + 35 + 35 + 21 + 7 + 1) / 128

P(X) = 120 / 128

P(X) = 0.9375

Estimate the solution to the following system of equations by graphing 3x +7y=10 2x-3y=-6

Answers

please mark me brain list

Answer:

(- 1/2,5/3)

Step-by-step explanation:

When Mr. Gree bought a used car he made a
down payment of $825. This was 30% of the
total cost. The total cost was:

PLEASE HELP! QUICKLY PLEASE!​

Answers

Answer:

2750

Step-by-step explanation:

825/30=27.5

27.5X100=2750

The total cost of the car will be $2,750.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.

The percentage is given as,

Percentage (P) = [Initial value - Final value] / Initial value x 100

When Mr. Gree bought a used car he made a down payment of $825.

This was 30% of the total cost.

Let x be the total cost of the car.

Then the total cost of the car will be

30% of x = $825

0.30x = $825

x = $2,750

Then the total cost of the car will be $2,750.

More about the percentage link is given below.

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Factor as the product of two binomials. 81+18x+x^2

Answers

Answer:

(x+9)(x+9)

Step-by-step explanation:

To factor this expression, we first need to put into standard form, that is, [tex]ax^2 + bx + c[/tex].

So it becomes [tex]x^2 + 18x + 81[/tex]

Now we need to find two numbers that:

A. When multiplied get us c (81)

B. When added get us b (18)

9 and 9 match those requirements, so out product of two binomials for this becomes (x+9)(x+9).

Hope this helped!

What is the value of x in the equation 3x-4y =65, when y = 4? i will gift brainliest

Answers

Answer:

3x-4y=65

3x=65+4y

x=(65+4y)/3, when y=4

x=(65+4*4)/3

x=(65+16)/3

x=81/3

x=27

Answer:

x = 27

Step-by-step explanation:

3x - 4y = 65

Let y= 4

3x - 4(4) = 65

3x -16 = 65

Add 16 to each side

3x-16+16 = 65+16

3x = 81

Divide by 3

3x/3 =81/3

x=27

if AD is the altitude to BC what is the slope of AD

Answers

Answer:

The answer is most likely 1/3

The correct option D. 3.  The slope of AD, where A is (-2, 4), B is (-6, 2), and C is (3, -1), is 1/3 using the slope formula.

Given points :

[tex]A(-2, 4)\\B(-6, 2)\\C(3, -1)[/tex]

To find the slope of AD,  to determine the slope of the line passing through points A and D.

Calculate the slope of the line passing through points A and D using the formula:

slope [tex]= (y_2 - y_1) / (x_2 - x_1).[/tex]

First, let's find the slope of BC using the coordinates of points B and C:

Slope of BC [tex]= (y_2- y_1 / (x_2- x_1)\\[/tex]

Plugging the coordinates of points B and C gives:

[tex]= (-1 - 2) / (3 - (-6))[/tex]

On adding gives:

[tex]= (-3) / (9)[/tex]

On dividing both numerator and denominator by 3

[tex]= -1/3[/tex]

Since A is the altitude to BC, it is perpendicular to BC.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of that line.

Therefore, the slope of AD will be the negative reciprocal of -1/3.

Negative reciprocal of -1/3 = -1 / (-1/3) = 3

Hence, the slope of AD is 3. The option is D. 3

Learn more about slopes here:

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There are five red balls, three yellow balls, and four green balls in a bin. In each event, you pick one ball from the bin and observe the color of the ball. The balls are only distinguishable by their colors. After observation, you put the ball back into the bin.

What is the probability of choosing a red ball in an event? 

Answers

Answer:

5/12

Step-by-step explanation:

step one:

Given the sample space, which is the value of individual number of colored balls in the bin

Red balls=5

Yellow balls=3 and

Green balls= 4

And the sample size is the sum of all the colored balls in the bin

The sample size S= {5+3+4}= 12

step two:

The probability of choosing a red ball in an event can be expressed as, the total number of the red balls over the total number of balls in the bin

P(r)= 5/12

Hence the probability of selecting a red ball in one event 5/12

What is the measure of KPN?
A. 35°
B. 50°
C. 60°
D.65°
E. 70°

Answers

Answer:

Option (B)

Step-by-step explanation:

From the picture attached,

NL and KM are the two lines intersecting at a point P.

Therefore, ∠KPN ≅ LPM [Vertical angles]

In ΔPLM,

m∠LPM + m∠PML + m∠PLM = 180° [Property of a triangle]

m∠LPM + 70° + 60° = 180°

m∠LPM + 130° = 180°

m∠LPM = 180° - 130°

m∠LPM = 50°

Therefore, m∠KPN = 50° [vertical angles]

Option (B) will be the correct option.

The value of KPN will be 50°.

It should be noted that the sum of the angles that are in a triangle is 180°.

Therefore, looking at the angles, the measure of KPN will go thus:

KPN + 70° + 60° = 180°

KPN + 130° = 180°

KPN = 180° - 130°

KPN = 50°

Therefore, KPN will be 50°.

Read related link on:

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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ = 24.2 σ=24.2. You would like to be 98% confident that your estimate is within 1 of the true population mean. How large of a sample size is required?

Answers

Answer:

use a z* value accurate to TWO places for this problem. (Not z = 2)

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

;)

Michael is using a number line to evaluate the expression –8 – 3. A number line going from negative 12 to positive 12. A point is at negative 8. After locating –8 on the number line, which step could Michael complete to evaluate the expression?

Answers

Answer:

move to the left 3 more spaces

Step-by-step explanation:

you are at -8 already. Therefore, you (-3) more spaces, so you go to the left three more spaces. Use the saying keep change change to help with this.

Keep the first number sign, change the next sign, and the next sign.

Answer:

d

Step-by-step explanation:

561
Worksheet
1. Assume that your kidneys can filter out 25% of medicine in your blood every 4 hours. You take one
1000-milligram dose of the medicine. Fill in the table showing the amount of the medicine in your
blood as a function of time. The first three data points are already completed.
At first you will have decimals. Round each value to the nearest milligram so there are no
decimals in your answers.
Time since taking the medicine (in hours)
Amount of medicine in blood (in milligrams)
0
1000
4
1000 - (1000 x 0.25) = 750
8
750 - (750 x 0.25) = 562.5 563
12
16
20
24
28
32
36
40 44 48 52 56

Answers

Answer:

12

563 - (563x0.25) = 422.25 -> 422

16

422 -(422x0.25) = 316.5 -> 317

20

317 - (317x0.25) = 237.75 -> 238

24

238 - (238x0.25) = 178.5 -> 179

28 (continue the step by step process)

134.25 -> 134

32

100.5 -> 101

36

75.75 -> 76

40

57

44

42.75 -> 43

48

32.25 -> 32

52

24

56

18

Step-by-step explanation:

the time interval has to keep skipping by four hours because the medicine is filtered in that amount of time.

The multiplying by 0.25 part must be done first in order to show how much the kidney has filtered.

after this, you need to subtract that from how many milligrams of medicine are left in your system

note that if you do not subtract, you will only be showing how much the kidney has filtered. the question asks for how much is left in the SYSTEM overall, so subtracting is quite necessary to completely answer the question.

I hope this helped.

Please help me!! I'll give brainliest btw

Answers

Answer:

e. cannot be determined

Step-by-step explanation:

m = 1/2( x + x + 10) = 1/2(2x + 10) = x + 5

n = 1/2(x² + x + 10) =

m/n = (x+5)/(1/2(x² + x + 10))

Not enough information

Using the Distributive Property to factorize the equation 3x2 + 24x = 0, you get

Answers

Answer:

3x(x+8)=0

x=0,-8

This is how to solve for x.


What is the solution to:
[tex] \frac{5}{8} = \frac{m}{12} [/tex]
HELP! answer if you can.​

Answers

Answer:

[tex]\boxed{m=7.5}[/tex]

Step-by-step explanation:

Hey there!

Cross multiply the given info

60 = 8m

Divide both sides by 8

m = 7.5

Hope this helps :)

M.7.5 is the answer

A) Ali travelled 40 kilometers in his car and it took him 50 minutes to complete the journey. How long will it take if he had to travel 100 kilometers in the same car?

Answers

Answer:

2 hours and 5 minutes

Step-by-step explanation:

50/40=1.25 km/m

100*1.25=125 minutes

125 minutes= 2.08 hours= 2 hours and 5 minutes

What is the ratio of the length of to the length of?

Answers

Answer:

1/4

Step-by-step explanation:

What is the ratio of the length of to DE the length of BC

The perimeter of a sector is given by:

P = [tex]\frac{\theta}{360}**2\pi r[/tex]

Where [tex]\theta[/tex] is the angle it subtends from the center and r is the radius of the circle.

For Sector ADE, the radius (r) = r/2 and the angle  [tex]\theta[/tex]  = β. Therefore:

Perimeter of DE = [tex]\frac{\beta}{360}**2\pi (\frac{r}{2} )=\frac{\beta}{360}(\pi r)[/tex]

For Sector ABC, the radius (r) = r and the angle  [tex]\theta[/tex]  = 2β. Therefore:

Perimeter of BC = [tex]\frac{2\beta}{360}**2\pi r=\frac{2\beta}{360}(2\pi r)=\frac{\beta}{360}*(4\pi r)[/tex]

The ratio of the length of to DE the length of BC =

Answer:

1/4

Step-by-step explanation:

Find the common ratio of the geometric sequence: 12.5,−62.5,312.5,−1562.5,… A. 5 B. -5 C. −15 D. 15

Answers

Answer:

B

Step-by-step explanation:

The common ratio r exists between consecutive terms in the sequence, that is

r = - 62.5 ÷ 12.5 = 312.5 ÷ - 62.5 = - 1562.5 ÷ 312.5 = - 5

Stephanie is helping her band collect money to fund a field trip. The band
decided to sell boxes of chocolate bars. Each bar sells for $1.50 and each
box contains 20 bars. Which equation represents the profit they will earn
for each box sold? *
O p = 20 - $1.50
O p= 20 + $1.50
O p = 20 ($1.50)
O p = 20/$1.50
5.How much profit will be made if they sell 100 boxes?

Answers

Answer:

O P=20($1.50)

They will make $3,000 if they sell 100 boxes of chocolates

Step-by-step explanation:

It is multiplication because it is $1.50 per each chocolate bar, and since there is 20 per box, we need to find the profit for the entire box

using that info, we find that each box of chocolates is 30 dollars

multiplied by 100 boxes is $3000.

Which section of the function is decreasing? (4 points) A graph is shown. Segment A is a horizontal line beginning at the y-axis. Segment B moves upward. Segment C is a horizontal line. Segment D moves downward Select one: a. A b. B c. C d. D

Answers

Answer: D

Step-by-step explanation:

If segment D moves downward it means its function has a negative slope so the line will be  decreasing.  

Answer:

D

Step-by-step explanation:

Obviously just because the slope is going down hence decreasing. \

Hope this helps! :)

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A museum curator is hanging 7 paintings in a row for an exhibit. There are 4 Renaissance paintings and 3 Baroque paintings. From left to right, all of the Renaissance paintings will be hung first, followed by all of the Baroque paintings. How many ways are there to hang the paintings Frahm Company incurred a first quarter operating loss before income tax effect of $4,000,000. This is a normal occurrence for Frahm because of seasonal fluctuations. Experience has demonstrated the income earned during the remaining quarters far exceeds the first quarter losses each year. Frahm estimates its annual income tax rate will be 30 percent. What net loss should Frahm report for the first quarter? Find the missing term in thegeometric sequence.13,[ ? ],208 An arc of length 12:57 cmangle of 60 at the cen mefind the radius or the circle.subrends an.or a cordle. Barry gets hurt at work and must go on disabililty for 4 months. On disability, the pay that Barry receives is 60% of his normal net pay. Barry should be fine if he has a plan for _____. a. financing b. managing his investments c. managing his liquidity d. protecting his assets Read the excerpt from The Diary of Anne Frank.The curtain rises on an empty stage. It is late afternoon November, 1945.The rooms are dusty, the curtains in rags. Chairs and tables are overturned.The door at the foot of the small stairwell swings open. Mr. Frank comes up the steps into view. He is a gentle, cultured European in his middle years. There is still a trace of a German accent in his speech.What do these stage directions reveal about when the opening scene takes place?It takes place after the Franks have been captured.It takes place while the Franks are in hiding.It takes place just as the Franks are going into hiding.It takes place years before the Franks are captured. 03/08/2020Question 1.(a) State the definition of a chemical formula.(b) What does it tell about a compound?(c) What information is conveyed by the formulation H2SO4? You have a reservoir held at a constant temperature of 30C. You add 400 J of heat to the reservoir. If you have another reservoir at 0C, how much heat must you add to it so that both reservoirs have the same increase in entropy? A group of coordinately regulated structural genes with related metabolic functions, plus the promoter and operator sites that control their transcription, is called a/an ___________. Astronomers were at first surprised to find complicated molecules in the interstellar medium. They thought ultra-violet light from stars would break apart such molecules. What protects the molecules we observe from being broken apart Need help please will give you a 5 stars After viewing the video, please create two sentences in the present tense for each of the following verbs:leer: to read comer: to eat creer: to believetoser: to coughaprender: to learnPlease note that the sentences are to be completely different from one another. Make sure to use different subject pronouns for each. Which of the following are types of thematic maps? Check all that apply PLEASE help me with this question!!! REALLY URGENT! Joaquin fue al mercado y compro 2,2 kg de papa a S/.1,2 soles el kilo y 3,2 kg de arroz a S/.3,7 soles el kilo, si pag con un billete de 20, cuanto recibi de vuelto? Wonderful! Not only did our salespeople do a good job in meeting the sales budget this year, but our production people did a good job in controlling costs as well.'' said Kim Clark, president of Martell Company. ''Our $14,800 overall manufacturing cost variance is only 2% of the $1.536.000 standard cost of products made during the year. That's well within the 3% parameter set by management for acceptable variances. It looks like everyone will be in line for a bonus this year.''The company produces and sells a single product. The standard cost card for the product follows:Standard Cost Card-per UnitDirect materials, 3.50 feet at $2.80 per foot $9.80Direct labor, 2.8 direct labor-hours at $12 per direct labor-hour 33.60Variable overhead, 2.8 direct labor-hours at $2.00 per direct labor-hour5.60Fixed overhead, 2.8 direct labor-hours at $6.00 per direct labor-hour 16.80Standard cost per unit $65.80The following additional information is available for the year just completeda. The company manufactured 20,000 units of product during the yearb. A total of 67,000 feet of material was purchased during the year at a cost of $3.00 per foot. All of this material was used to manufacture the 20,000 units. There were no beginning or ending inventories for the yearc. The company worked 58,000 direct labor-hours during the year at a direct labor cost of $11.80 per hour.d. Overhead is applied to products on the basis of standard direct labor-hours. Data relating to manufacturing overhead costs follow:Denominator activity level (direct labor-hours) 52,500Budgeted fixed overhead costs $315,000Actual variable overhead costs incurred $133,400Actual fixed overhead costs incurred $ 312,000Required1. Compute the materials price and quantity variances for the year. (Input all amounts as positive values. Indicate the effect of each variance by selecting F for favorable, U for unfavorable and None for no effect).2. Compute the labor rate and efficiency variances for the year. (Input all amounts as positive values. Indicate the effect of each variance by selecting F for favorable, U for unfavorable and None for no effect).3. For manufacturing overhead compute:a. The variable overhead rate and efficiency variances for the year. (Input all amounts as positive values. Indicate the effect of each variance by selecting F for favorable, U for unfavorable and None for no effect).b. The fixed overhead budget and volume variances for the year. (Input all amounts as positive values. Indicate the effect of each variance by selecting F for favorable, U for unfavorable and None for no effect). The Colonel spots a campfire at a bearing N 5959 E from his current position. Sarge, who is positioned 242 feet due east of the Colonel reckons the bearing to the fire to be N 3434 W from his current position. Determine the distance from the campfire to each man, rounded to the nearest foot.Colonel is about............................ feet away from the fireSarge is about............................... feet away from the fire Toys R Fun purchased $4,000 of merchandise and paid immediately. To record this transaction, Toys R Fun's accountant would debit the_____account and credit the______account.A. Cash.B. Merchandise Inventory.C. Accounts Payable. A)40%B)45%C)5%D)10% which of the following is a basic function of government? *maintaining a navycreating public parkstaxing the citizensensuring national security