Help ASAP!!! How did it take Escher time 18 liters of water were drained is it A) 1/4 min B) 1/2 min c) 1min or D) 1/3min?

Help ASAP!!! How Did It Take Escher Time 18 Liters Of Water Were Drained Is It A) 1/4 Min B) 1/2 Min

Answers

Answer 1

Answer:

A) 1/4 min

Step-by-step explanation:

Find the equation for the graph:

y = mx + b

Find the slope using two random points (0, 360) and (5, 0)

m = (y2 - y1) / (x2 - x1)

m = (0-360) / (5-0)

m = -360/5

m = -72

b is 360, the y-intercept.

Substitute m= -72 and b=360 into slope-intercept form.

y = -72x + 360

x represents time and y represents the total amount of water at the time.

We are looking for when only 18 liters were drained.

360 - 18 = 342  <= Total amount of water when 18 liters are drained

Substitute 342 for y in the equation and isolate x.

342 = -72x + 360

-18 = -72x

x = 18/72

x = 1/4

Therefore, it will take 1/4 of a minute to drain 18 liters.

Answer 2

Answer: 1/4

Step-by-step explanation:

I got it right on khan academy.

Hope this helps


Related Questions

Order -2.96,-2 11/12,and 2.95 from least to greatest

Answers

Answer:

-2.96 , -2 11/12, 2.95

Step-by-step explanation:

What is 10/12 written as a fraction in its simplest form

Answers

Answer:

Step-by-step explanation:

10/12 divide by 2= 5/6

Answer: 10/12=5/6
Explanation: the only number that both can be divided by is 2.

63. What is the equation in point-slope form
of the line through the points (10,3) and
(12, 11)? (MAFS.912.F-BF.1.1)​

Answers

Answer:

y-3=4(x-10)

Step-by-step explanation:

Point Slope Form: y-y1=m(x-x1)

Where m=slope and (x1, y1) is a point on the line.

m=(y2-y1)/(x2-x1)=(11-3)/(12-10)=8/2=4

So the slope is 4,

y-3=4(x-10)

A surveyed was conducted at Holy Spirit High school where 50 students were randomly
chosen and asked whether they liked apples or bananas. Of the 50, 36 students said they
like apples, 30 students like bananas and 5 students do not like either apples or bananas.

How many students like both apples and bananas?

Answers

Answer:

26

Step-by-step explanation:

50 students were asked, and only 5 said that they did not like apples or bananas.This means that  45 students like either apples or bananas, or both of them. We will call these 45 students, the group of "45".We also know that, between these 45 students there are 36 who like apples and 30 that like bananas. This imply that, 45-36=9 students do not like apples, and 45-30=15 students do not like bananas.Then, there are 15 students within the group of "45" that do not like bananas, and 9 students within the group of "45" that do not like apples. This means that 9+15=24 students within the group of "45" only like bananas or apples. The rest of them, 45-24= 26 like both apples and bananas.

Can I get some help on this please? This is part 1 I will post part 2 later.
Thanks! Will mark Brainliest!

Answers

Answer:

-2/3 (fixed it)

Step-by-step explanation:

The measure of arc LM is °. The measure of angle MBL is °. The measure of angle MNL is °.

Answers

Answer:

Measure of arc LM is 116

Measure of angle MBL is 58

Measure of angle MNL is 64

Step-by-step explanation:

took the test

Answer:

The answers are:  116, 58, 64

Step-by-step explanation:

a 36 ft tree cast a shadow of 17ft. how long will the shadow be for a 22 ft tree?

Answers

Check the picture below.

10 36/2-1
22/2 =11 -1 =10
A: 10

25/18 divided by 5/3

Answers

Answer:

0.09259259

Step-by-step explanation:

The value of expression 25/18 divided by 5/3 would be; 0.09259259

Since Division can be interpreted as equally dividing the number that is being divided into total x parts, x is the number of parts the given number is divided.

We need to find the expression of  25/18 divided by 5/3.

A negative divided by a negative is positive, then;

25/18  ÷ 5/3

25/18   x 3/5

75/ 90

Therefore, The value of expression 25/18 divided by 5/3 would be; 0.09259259

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5) Jon gets paid $4 for every 3 hours he works. How much will he get paid if he works
30 hours?


Answers

Answer:

$40

Step-by-step explanation:

3 hours x 10= 30 hours

$4 x 10= $40

What is the diameter of the circle?
12 inches
А)
6 inches
B
24 inches
C
26 inches
48 inches

Answers

Answer:

The diameter of the circle is B) 24 inches.

Step-by-step explanation:

The value given (12 inches) is the radius of the circle. The diameter of a circle is equal to 2 * radius. 2 * 12 = 24.

The diameter of the circle is 24 inches.

Option B is the correct answer.

We have,

The diameter of a circle is a line segment that passes through the center of the circle and connects two points on its circumference.

It is the longest chord of the circle and divides the circle into two equal halves.

The diameter is commonly denoted by the symbol "d" and is related to the radius of the circle (denoted by "r") by the equation:

d = 2r

Now,

r = 12 inches

So,

d = 2r = 2 x 12 inches

d = 24 inches

d = 24 inches

Thus,

The diameter of the circle is 24 inches.

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How do you round to 630 to the nearest hundred

Answers

Answer: Here we will tell you what 630 is rounded to the nearest hundred and also show you what rules we used to get to the answer.

Remember, we did not necessarily round up or down, but to the hundred that is nearest to 630.

First, 630 rounded to the nearest hundred is: 600

When rounding to the nearest hundred, like we did with 630 above, we use the following rules:

A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

Step-by-step explanation:

Rounding 630 to the nearest hundred results in 600.

To round the number 630 to the nearest hundred, consider the tens digit of the number.

In this case, the tens digit is 3.

If the tens digit is 5 or greater, you round up to the next hundred.

If the tens digit is 4 or less, you round down to the current hundred.

Since the tens digit in 630 is 3, which is less than 5, you round down.

Therefore, rounding 630 to the nearest hundred results in 600.

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A survey of all beings on planet Tott found that 12 beings preferred
hab juice to all other juices. If 40 beings were surveyed altogether,
what percent of them preferred hab juice?

Answers

Answer:

4.8

12 x 40

100

= 4.8

Step-by-step explanation:

The percentage of beings that preferred hab juice, is 30% of beings preferring hab juice.

The question is asking to find the percentage of beings that preferred hab juice out of a total of 40 surveyed on planet Tott. To do this, we use the basic formula for percentage:

Percentage = (Part / Whole) * 100

In this case, 12 beings out of 40 preferred hab juice. So we have:

Percentage = (12 / 40) * 100 = 0.3 * 100 = 30%

Therefore, 30% of the beings surveyed preferred hab juice.

Cousin Hector drove 1,851 miles to the reunion. He lives in Mexico and drove 747 miles through that country to the United States border. How many miles did he drive in the United States?

Answers

Answer:

1104 miles

Step-by-step explanation:

Say he lives in a place in Mexico which is at a distance of a miles from the Mexico-America border point and the reunion is at b miles from the same border point, in America.

So the total distance travelled is ( a + b ) miles

( this is just sum of distance travelled in Mexico + that in America )

Given , a=747 and a+b=1851

that implies:

747 + b = 1851

So, b = 1104 miles.

Therefore he has travelled 1104 miles in America,

please help solve with steps:

x + 3/4 = - 1/8

Answers

Answer:

x = - [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

Given

x + [tex]\frac{3}{4}[/tex] = - [tex]\frac{1}{8}[/tex]

Multiply through by 8 to clear the fractions

8x + 6 = - 1 ( subtract 6 from both sides )

8x = - 7 ( divide both sides by 8 )

x = - [tex]\frac{7}{8}[/tex]

Answer:

x = -7/8

Step-by-step explanation:

x + 3/4 = - 1/8

Subtract both sides:

x + 3/4 - 3/4 = -1/8 - 3/4

x = -1/8 - 3/4

x = -7/8

Find the distance from point A(0,5) to y=-3x — 5

Answers

Answer:

Distance from point A(0,5) to y = -3 x  - 5 is √10 units units.

Step-by-step explanation:

Here, the given line equation is  y = -3x -5

Also, the point A (0,5) is the given point.

Now, a distance of a point (m,n)  from a line Ax + By + c = 0 is given as:

[tex]d = \frac{\mid Am +bn+c \mid}{\sqrt{A^2 + B^2} }[/tex]

Here, the equation is  y = -3 x -5

⇒ 3 x + y + 5 = 0  , here A  = 3, B = 1

Now, the value of line equation at (0,5) is  3(0) + 5 + 5 = 10

So, from the given distance formula,  we get:

[tex]d = \frac{\mid Am +bn+c \mid}{\sqrt{A^2 + B^2} }  = d = \frac{10}{\sqrt{(3)^2 + (1)^2} } = \frac{10}{\sqrt{(10)}}   = \sqrt{(10)}[/tex]

d  = √10 units

Hence, distance from point A(0,5) to y = -3 x  - 5 is √10 units units.

Final answer:

To find the distance from point A(0,5) to the line y=-3x-5, we can use the distance formula.

Explanation:

To find the distance from point A(0,5) to the line y=-3x-5, we can use the distance formula.

The distance formula is given by:

d = √((x2 - x1)² + (y2 - y1)²)

In this case, point A is (0,5) and the line is y = -3x - 5.

So, we can substitute the values into the formula:

d = √((x - 0)² + (y - 5)²)

d = √(x² + (y - 5)²)

To find the distance, we need to substitute the x and y values of a point on the line into the formula and solve for d.

Let's take the point (1, -8) as an example:

d = √((1)² + (-8 - 5)²)

d = √(1 + 169)

d = √170

So, the distance from point A(0,5) to the line y=-3x-5 is √170.

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What is y+4=9 what is y?

Answers

Answer:

[tex]y = 5[/tex]

Step-by-step explanation:

Subtract the 4 from 9

The answer is 5 cause u gotta subtract the 9 from the 4

Which graphs show continuous data?
Select each correct answer
Disance Walked
Distance Walked​

Answers

The second graph, on the right side is a straight line without any gap or break so it is a graph of continuous data.

Step-by-step explanation:

A continuous data s the type of data which contains real values also. the continuous data is measured.

The graph of a continuous data is a continuous line without any breaks. The graph starts and ends only on one note. Not having any breaks or gaps.

In the given diagram, we can observe the both graphs.

The first graph is a scatter plot which only shows points on the graph. It is graph of some discrete data.

The second graph, on the right side is a straight line without any gap or break so it is a graph of continuous data.

Keywords: Discrete data, continuous data

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15 people gather for a hot dog eating contest. in the past, eight of these contestants have eaten 37 hot dog during the competition. three at 43, three ate 47 and one ate 49. what is the expected number of hot dogs eaten by a randomly chosen contestant today?

Answers

Answer:

41

Step-by-step explanation:

Given that 15 people gather for a hot dog eating contest. in the past, eight of these contestants have eaten 37 hot dog during the competition. three at 43, three ate 47 and one ate 49.

From the information given we prepare table as follows

No of hot dogs eaten  X      Frequency f       X*f

                37                                8                 296

                43                                3                 129

                47                                3                 141

                49                                1                  49    

Total                                            15                615

Expected value of X

= Mean value one person can take = [tex]\frac{615}{15} \\=41[/tex]

the expected number of hot dogs eaten by a randomly chosen contestant today is 41

The arithmetic sequence 1, 3, 5, 7, 9, . . . represents the set of odd natural numbers. What is the explicit rule for the sequence? ak = ____ +____ (k - 1)

Answers

Answer:

The explicit rule is Ak = 1 + 2 * (k - 1)

Step-by-step explanation:

1. Let's review the information provided to us for finding the explicit rule for the sequence.

The arithmetic sequence 1, 3, 5, 7, 9, . . . represents the set of odd natural numbers.

2. Let's find the solution:

Ak = 1 + 2 * (k - 1)

For k = 1 ⇒ Ak = 1 + 2 * (1 - 1) = 1 + 2 * 0 = 1 + 0 = 1

For k = 2 ⇒ Ak = 1 + 2 * (2 - 1) = 1 + 2 * 1 = 1 + 2 = 3

For k = 3 ⇒ Ak = 1 + 2 * (3 - 1) = 1 + 2 * 2 = 1 + 4 = 5

For k = 4 ⇒ Ak = 1 + 2 * (4 - 1) = 1 + 2 * 3 = 1 + 6 = 7

For k = 5 ⇒ Ak = 1 + 2 * (5 - 1) = 1 + 2 * 4 = 1 + 8 = 9

For k = 6 ⇒ Ak = 1 + 2 * (6 - 1) = 1 + 2 * 5 = 1 + 10 = 11

For k = 7 ⇒ Ak = 1 + 2 * (7 - 1) = 1 + 2 * 6 = 1 + 12 = 13

Answer:

1st: 1+(k-1)2

2nd: 399

3rd: C

4th: 40,000

explanation:

just did it :)

Use Pascal’s Triangle to determine the third term of the expansion of (x + 3)4.

Answers

Answer:

In the Pascal Expansion of [tex](x+3)^4[/tex] the third term is [tex]54x^2[/tex].

Step-by-step explanation:

Here, the given expression is given as [tex](x+3)^4[/tex]

Now, by the PASCAL'S TRIANGLE EXPANSION:

[tex](a + b)^4 = 1(a)^4 + 4(a)^3b + 6(a)^2b^2 + 4(a)b^3 + 1b^4\\= 1 + 4b + 6a^2 + 4b^3 + b^4.[/tex]

Substituting a  = x and b = 3, we get:

[tex](x + 3)^4 = 1(x)^4 + 4(x)^3(3) + 6(x)^2(3)^2 + 4(x)(3)^3 + 1(3)^4\\= x^4 + 12x^3 + 54x^2  + 108x+ 81[/tex]

In the given expansion, the third term is [tex]54x^2[/tex].

Hence, in the Pascal Expansion of [tex](x+3)^4[/tex] the third term is [tex]54x^2[/tex].

Final answer:

The third term is 6 times x squared times 3 squared, which simplifies to 54x².

Explanation:

To use Pascal's Triangle to determine the third term of the expansion of (x + 3)⁴, we first need to look at the row of Pascal's Triangle that corresponds to the exponent 4. This is the fifth row if we start counting from 0 and it reads 1, 4, 6, 4, 1. We use these coefficients for each term of the expansion, which follows the pattern (a + b)ⁿ = C(n,0)*aⁿ + C(n,1)*a⁽ⁿ⁻¹⁾b + C(n,2)*a⁽ⁿ⁻²⁾b² + ... + C(n,n)*bⁿ, where C(n,k) is the binomial coefficient from Pascal's Triangle.

So, the third term in the expansion is given by the third coefficient (counting from 0) from the row, which is 6, multiplied by x raised to power 4 - 2 times 3 squared. Therefore, the third term is 6x²·3², which simplifies to 54x².

Mt. Everest is 29,029 feet above sea level. The Dead Sea is 1,411 feet below sea level. What is the difference between the elevations?

A) −27,618 feet
B) −30,440 feet
C) 27,618 feet
D) 30,440 feet

Answers

Answer:

The correct answer is A)-27,618 feet because -29,029 Subtract by -1,411 is -27,618 far from each other

The answer is D the other guy is wrong, trust me I just got that question wrong lol

Scale on the blue print drawingOf a house show 6 cm represents 3 m what number of centimeters on the blueprint represents actual distance of 27 m

Answers

Answer:

54 cm on the blueprint represents actual distance of 27 m.

Step-by-step explanation:

Scale on the blue print drawing of a house show 6 cm represents 3 m.

So, the proportion is [tex]\frac{6}{300} = \frac{1}{50}[/tex] {Since, 3 m = 300 cm.}

Hence, the original dimensions of the house is reduced in the ratio [tex]\frac{1}{50}[/tex] in the blue print drawing.

Then, 27 m i.e. 2700 cm will be represented in the drawing by [tex]2700 \times \frac{1}{50} = 54[/tex] cm.

Therefore, 54 cm on the blueprint represents actual distance of 27 m. (Answer)

A book sold 39,200 copies in its first month of release. Suppose this represents 8.7% of the number of copies sold to date. How many copies have been sold to date?
Round your answer to the nearest whole number.

Answers

Answer: 450574.7126 which rounds up to 450575

Step-by-step explanation: Do cross multiplication

100        X  

----- x  ---------

8.7     39200

100 x 39200 = 3920000/ 8.7 = 450574.7

TO CHECK ANSWER

450574.7216 x 8.7% ( convert to decimal .087) = 39200

Find the slope of the line that goes through the given points.
(7,2) and (5,2)

Answers

Answer: 0

Step-by-step explanation:

describes a horizontal line

so slope = 0

Answer:

0/2

Step-by-step explanation:

you have to subtract the x's and then then the y's, y is always on top. So, y=2-2/ x= 7-5 making 0/2 When the 0 is on the "top" of the fraction, that would mean that the two y-values are the same.

On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).
What is the area of parallelogram ABCD?

13 square units
14 square units
15 squa

Answers

It’s 13 square units

Answer:

13

Step-by-step explanation:

NEED HELP ASAP!!!
thank you.

Answers

Answer:

See explanation

Step-by-step explanation:

Consider triangles ACM and BCM. In these triangles,

[tex]m\angle 3=m\angle 4[/tex] - given;[tex]m\angle 1=m\angle 2=90^{\circ}[/tex] - definition of perpendicular lines CM and AB;[tex]\overline{CM}\cong \overline{CM}[/tex] - reflexive property.

So,

[tex]\triangle ACM\cong \triangle BCM[/tex] by ASA postulate (if one side and two angles adjacent to this side of one triangle are congruent to one side and two angles adjacent to this side of another triangle, then two triangles are congruent).

Two-column proof:

      Statement                                 Reason

1. [tex]m\angle 3=m\angle 4[/tex]                          Given

2. [tex]CM\perp AB[/tex]                        Given

3. [tex]m\angle 1=m\angle 2=90^{\circ}[/tex]       Definition of perpendicular lines CM and AB

4. [tex]\overline{CM}\cong \overline{CM}[/tex]          Reflexive property

5. [tex]\triangle ACM\cong \triangle BCM[/tex]                       ASA postulate

Find the value of x in each case. Give reasons to justify your solutions!

BRAINLY SHALL BE GIVEN

L, M ∈

KN


1. m ∠KLP+m∠PLM = __180___

2. _3x____+m∠PLM = _180_____ Substitution

3. m∠PLM = _______ Algebra

4. m∠PMN=m∠P+m∠______ _______________

5. ____2x+72__ = _____x_+180°−3x Substitution

6. x= ___27___ Algebra

Answers

Answer:

x=27°

Step-by-step explanation:

we know that

The Triangle Exterior Angle Theorem, states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles

step 1

Find the measure of angle PLM

we know that

m∠PLM+m∠LPM=m∠PMN ----> by Triangle Exterior Angle Theorem

we have

m∠LPM=x°

m∠PMN=2x+72°

substitute

m∠PLM+x=2x+72°

m∠PLM=2x-x+72°

m∠PLM=x+72°

step 2

Find the measure of angle x

we know that

3x+m∠PLM=180° ----> by supplementary angles (form a linear pair)

we have

m∠PLM=x+72°  (see step 1)

substitute

3x+x+72°=180°

4x=180°-72°

4x=108°

x=27°

Answer:

By the given diagram,

PLM is a triangle,

K and N are points on line MN,

m∠KLP = 3x, m∠P = x, m∠PMN = 2x + 72°

We need to give the reasons in the steps of finding the value of x.

For this we have to know the following properties :

Linear pairs: Adjacent angles which are supplementary.

Subtraction property of equality : We can subtract a number or expression in both sides of an equation.

i.e. a = b ⇒ a + c = b + c

Exterior angle theorem : exterior angle formed by extending the side of a triangle is equal to the sum of its non-adjacent angles.

Thus, the steps of finding value of x are as follow,

1. m∠KLP+m∠PLM = 180°       ( linear pairs )

2. 3x +m∠PLM = 180°              ( Substitution)

3. m∠PLM = 180° - 3x              ( Subtraction property of equality)

4. m∠PMN=m∠P+m∠PLM      ( Exterior angle theorem )

5. 2x + 72° = x + 180° - 3x        ( Substitution)

6. 2x + 72° = 180° - 2x              ( Solving )

   2x = 180° - 2x - 72°  

   2x + 2x = 108°

   4x = 108°

   x   = 27°


Help!!! Solve for x!! Pls!!!

Answers

Answer:

57

Step-by-step explanation:

The bottom line of the triangle is 180 degrees. Therefore, 2y + 4y - 36 has to equal 180. So, once you solve this linear equation, you will find that y equals 36. A triangle's angles always equal a total of 180 degrees. So, x + 51 + 2y has to equal 180, as well. Since we know y, substitute in 36 for 2y. Now the equation is 51 + 72 + x = 180. Solve for x. X is 57.

Answer:

57°

Step-by-step explanation:

The angles that are at the bottom middle are on a straight line, so they must add up to 180°. In order to determine y, use the equation 180 = 2y + 4y -36. After solving for y, you should be left with 36 = y. Now, we can fill in the bottom right angle in the left triangle. This would be 36 times 2, or 72. In triangles, all angles always add up to 180°, so, we can use the equation 180 = x + 51 + 72. Once solved for x, this will leave you with 57 = x, our final answer.

please help: i need to translate a phrase into a two step expression.

Five more than the product of 10 and Maliks height. Use m to represent Maliks height.

Answers

Answer: y = 10m + 5

Step-by-step explanation:

Let m be Malik's height , the product of 10 and Malik's height means 10 multiplied by Malik's height, which is 10 x m , which will be

10m.

5 more than the product of  10 and Malik's height means that a particular function is more than the product of 10 and his height by 5. Let that function be y , then

y = 10m + 5 is the expression

The table shown below gives the approximate number of pieces of mail handled by the United States Postal Service for different years.
How many more pieces of mail were handled by the United States Postal Service in 1995 than in 1965?
Express your answer in scientific notation.

Answers

Answer:

Step-by-step explanation:

Answer:

1.08×10^11

Step-by-step explanation:

1.08 times 10 to the power of 11

Answer:

1.08×10^11

Step-by-step explanation:

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Some researchers believe that First officer William Murdoch couldve prevented the Titanic from sinking What does inflation ultimately affect and what does this have to do with the economy as a whole ? Jacob knows that 1/20 means 1 divided by 20. He uses this to find the decimal equivalent for 1/20. Enter a digit into each box to complete his work. Why do you think each state has its own constitution or governing document rather than simply following the rules outlined in the U.S. Constitution? What information did you include in your answer? Check all that apply. DNA is responsible for traits. A section of DNA that codes for a specific trait is called a gene. Half of your DNA comes from each parent. Your traits are a combination of your parents' traits. DNA is the blueprint for proteins, which play many roles in the body. Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below.1. p(x) = 5x2 + 30x2. p(x) = 5(x2 + 6x)3. (six-halves) squared = 9;4. p(x) = 5(x2 + 6x + 9) 5(9)5. p(x) = 5(x + 3)2 45Describe Sandras function. Claire created a model to study the day and night cycle of Earth as shown here. What causes different points on the globe to receive light at different times, explaining the day and night cycle of Earth?A)the rotation of the lampB)the rotation of the globeC)the revolution of the lampD)the revolution of the globe As a long-term investment at the beginning of the 2018 fiscal year, Florists International purchased 30% of Nursery Supplies Inc.'s 8 million shares for $56 million. The fair value and book value of the shares were the same at that time. During the year, Nursery Supplies earned net income of $40 million and distributed cash dividends of $1.25 per share. At the end of the year, the fair value of the shares is $52 million.Required: Prepare the appropriate journal entries from the purchase through the end of the year. Chambers, Inc. uses flexible budgets. At normal capacity of 16,000 units, budgeted manufacturing overhead is: $64,000 variable and $180,000 fixed. If Chambers had actual overhead costs of $250,000 for 18,000 units produced, what is the difference between actual and budgeted costs?Chambers, Inc. uses flexible budgets. At normal ca$2,000 unfavorable.$2,000 favorable.$8,000 favorable.$6,000 unfavorable. QUICKLY ANSWER PLEASE!!Read the sentences from Last Lecture by Randy Pausch.And I assure you I am not in denial. Its not like Im not aware of whats going on.Why is Pausch telling his audience this?A. He wants to convince them that they should stop focusing on his illness.B. He wants them to remember that he is in a difficult situation.C. He wants them to feel comfortable and accept his positive attitude.D. He wants to encourage them to have sympathy for him. Two factory plants are making TV panels. Yesterday, Plant A produced 16,000 panels. Five percent of the panels from Plant A and 2% of the panels from Plant Bwere defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 4%?Number of panels produced by Plant B???? Research into the memories of those claiming to suffer from dissociative identity disorder (DID) has found that information presented to one ""alter"" is usually available to the other. This finding has shed doubt on the concept of amnesia across alternate personalities in cases of DID. This situation demonstrates which of the six principles mentioned in your chapter? Suppose that Westside Auto of Problem 4, with D = 12,000 units per year, Ch = (2.50)(0.20) = $0.50, and C0 = $25, decided to operate with a backorder inventory policy. Backorder costs are estimated to be $5 per unit per year. Identify the following:a. Minimum-cost order quantityb. Maximum number of backordersc. Maximum inventory leveld. Cycle timee. Total annual cost 18. Find the measure of ZWZX. Show your work.48 degrees 8x-318x+5 One year ago, you purchased a 6 percent coupon bond with a face value of $1,000 when it was selling for 98.6 percent of par. Today, you sold this bond for 101.2 percent of par. What is your total dollar return on this investment?$86$74$82$60$64 Some economists argue that competitive price-searcher markets are inefficient because Explain how one or more of the parts of and animal cell help to carry out homeostasis? An actuary at a mid-sized insurance company is examining the sales performance of the company's sales force. She has data on the average size of the policy ($ thousands) written in two consecutive years by 40 salespeople. She fits a linear model and finds the slope to be 1.10and the Upper R squared is 79.0%.She concludes that the predictions for next year's policy size will be quite accurate. Examine the data and comment on her conclusions. A conditional mutation is one that allows a mutant gene product to function normally under the ________ condition, but to function abnormally under the ________ condition. Such mutations are especially useful for the study of ________ mutations. Please Help ASAP!! Domain and range of function...