10 POINTS.CAN SOMEONE PLEASE HELP ME ​

10 POINTS.CAN SOMEONE PLEASE HELP ME

Answers

Answer 1

Answer:

x = 60°

y = 60°

Step-by-step explanation:

The three angles of a triangle add up to 180°
In ΔWXY, 60 + 60 + x = 180°
=> 120 + x = 180

=> x = 180 - 120 = 60°

Since lines WZ and XY are parallel, x and y which are alternate interior angles must be equal

So y = x = 60°


Related Questions

Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings, select all the equations that can be solved to find Sylvie’s hourly earnings.

Answers

[tex]110 = 16 + 10h[/tex]

[tex]110 - 16 = 10h[/tex]

She needs $110 for a concert ticket.

she already has $16 . She can earn the rest by working 10 hours at her job.

[tex]\bold{h = hourly \ rate}[/tex]

she needs to work 10 hours to add to the $16 she already has to get a total of $110 required for the concert ticket.

Therefore, Her hourly rate can be solved with the following equation

110 = 16 + 10h110 - 16 = 10h

Tim was standing on a hill bird watching. He was also playing with his new stopwatch. He noticed one bird pass a certain building just when he pushed the button on his stopwatch. In one minute, the bird passed another building that Tim knew was exactly ½ mile away from the first one. How fast was that bird flying?

HELPPPP IM IN CLASS

Answers

Answer:

30mph

Step-by-step explanation:

We can use the concept of speed, distance, and time to solve the problem.

Let's assume that the bird was flying at a constant speed of "x" miles per minute.

When the bird passed the first building, Tim started the stopwatch. Let's say the time on the stopwatch was "t" minutes.

Therefore, the bird had flown a distance of "x*t" miles when Tim started the stopwatch.

In the next minute, the bird flew another 0.5 miles (the distance between the two buildings). So, the total distance traveled by the bird was:

x*t + 0.5 miles

We know that the total time elapsed was 1 minute. Therefore:

t + 1 = total time elapsed

Now, we can use these equations to solve for the speed of the bird:

x*t + 0.5 = distance traveled

t + 1 = total time elapsed

We want to find the value of x, so we can solve for t:

t = total time elapsed - 1

Substituting this value of t into the first equation, we get:

x*(total time elapsed - 1) + 0.5 = distance traveled

Simplifying, we get:

x*(total time elapsed) = distance traveled + 0.5

Substituting the given values, we get:

x*(1) = 0.5 + x*t

x = 0.5 + x*(total time elapsed - 1)

x = 0.5 + x*(59/60)

Solving for x, we get:

x = 30 miles per hour

Therefore, the bird was flying at a speed of 30 miles per hour.

Does anyone know B? I need some help

Answers

The estimated life expectancy for someone born in 2005 is approximately 85.09 years.

Describe Life expectancy?

Life expectancy is the average number of years that a person is expected to live, based on statistical data and various demographic factors such as age, gender, health status, lifestyle, and environmental conditions. It is usually calculated from birth and is a useful indicator of the overall health and well-being of a population.

Life expectancy can vary widely between different countries and regions, as well as between different demographic groups within a population. Factors that can influence life expectancy include access to healthcare, nutrition, education, economic development, social support, and public health policies.

To estimate the life expectancy for someone born in 2005, we need to use the line of best fit equation:

y = 0.40x - 716.91

where x is the birth year and y is the corresponding life expectancy.

To find the estimated life expectancy for someone born in 2005, we substitute x = 2005 into the equation:

y = 0.40(2005) - 716.91

y = 802 - 716.91

y = 85.09

Therefore, the estimated life expectancy for someone born in 2005 is approximately 85.09 years.

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Fill in the gaps below:
a. from A to B
b. from B to C
c. from A to C

Answers

Answer:

a. from A to B, a rotation by 90 degrees anti-clockwise about (0,0).

b. from B to C, a translation by vector (-3/4, -1/4).

c. from A to C, a rotation by 60 degrees, anti-clockwise about (0,0).

Hope this helps, I'm sorry if it doesn't. If you need more help, ask me! :]

Is rotated

An angle whose measure is

more than halfway around a circle.

DONE

Answers

The statement "rotated an angle whose measure is more than halfway around a circle" is incorrect. An angle whose measure is 60 degree is rotated more than halfway around a circle.

A rotated angle is an angle that has been moved or transformed from its original position, while an angle that measures more than halfway around a circle is called a reflex angle. A reflex angle measures between 180 and 360 degrees, which means that it has rotated more than halfway around a circle.

In contrast, an angle that measures less than 180 degrees is called an acute angle, while an angle that measures exactly 180 degrees is called a straight angle. Understanding the different types of angles is important in geometry and mathematics.

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The cost for an eighth-grade party is $600 for room rental, entertainment, and decorations, plus $15 per person for food. Tickets for the party are sold for $20. What is the break-even point?

A. 120 tickets
B. 90 tickets
C. 60 tickets​

Answers

The break-even point is 120 tickets, which is option A.

Describe Revenue?

It is the income generated by a business, which includes all the money received from customers for the products or services sold, as well as any other sources of income. Revenue is calculated by multiplying the price of a product or service by the number of units sold. It is an important financial metric that helps businesses determine their profitability and growth potential.

Let's assume that x number of students are attending the party.

The cost for food per person is $15 and the revenue generated per person is $20, so the profit per person is $20 - $15 = $5.

The total cost of the party is $600 + $15x.

We need to find the number of tickets sold to cover the cost of the party, which is the break-even point.

So, we set the revenue generated equal to the cost of the party:

20x = 600 + 15x

5x = 600

x = 120

Therefore, the break-even point is 120 tickets, which is option A.

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Select the equation(s) that represent the graph below
(0,6)(9,0)
Y=-2/3+6
3x +2y=18
2x+3y=18
Y=-3/2x+9
2x+3y=18

Answers

Answer:

the answer is y=-2/3x+6

A car traveled 4 miles in 4 minutes. How many yards did it travel in that time? Answer yards

Answers

Answer:0.27 miles

Step-by-step explanation:

Answer:

The answer to your question is 7040

Step-by-step explanation:

How many yards are in 1 mile:

So 1 mile = 1760 yards

Speed = 1760 yard per minute

= 1760 yd/min

Since we have 4 miles, we are gonna multiply 4 multiplied by 1760.

So 4 miles x 1760 = 7040

I hope this helps and have a wonderful day!

To find the distance from point C to the line AB, you must find the length of the segment from C_______ to AB.


A. Widthwise

B. Perpendicular

C. Parallel

D. Lengthwise

Answers

the distance from point C to line AB, you must find the length of the segment from C perpendicular to AB

A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. A ray has only one endpoint and an endlessly long another end, as opposed to a line segment that has two ends.

When the angle of inclination between two line segments is exactly equal, those two segments are said to be perpendicular.

The plus symbol is formed when two perpendicular line segments cross one other.

To find the distance from point C to line AB, you must find the length of the segment from C_______ to AB

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4e-6e-5=15 solve for e

Answers

Answer:

e = - 10

Step-by-step explanation:

4e - 6e - 5 = 15

- 2e - 5 = 15 ( add 5 to both sides )

- 2e = 20 ( divide both sides by - 2 )

e = - 10

Answer: e = -10

Step-by-step explanation:

4e-6e-5=15

-2e-5=15

add 5 on both sides

-2e=20

divide 20 on both sides

e=-10

Write an equation to represent the relationship between the step number, n, and the number of dots at each step of the pattern.

Answers

The relationship is: number of dots = n + 1

What is the number of dots?

The "number of dots" typically refers to the count or quantity of small, circular shapes that are arranged in a particular pattern or sequence. The term can be used in various contexts, such as in mathematical or geometric patterns, puzzles, games, or art.

Assuming you are referring to a specific pattern of dots that increases with each step, the equation to represent the relationship between the step number, n, and the number of dots at each step can be written as:

Number of dots = n + 1

In this equation, "n" represents the step number and "n + 1" represents the number of dots at each step. This equation assumes that the pattern starts with one dot at the first step, and the number of dots increases by one with each subsequent step.

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4
Which pair of lines
are parallel?
A) x − 5y = 10; y = 5x – 2
B) x + y = 0; y = x + 7
C) 2x - 3y = 9; 4y = 6x-20
D) 4x8y = 8; y = 2x + 2
E) 9x - 3y = 12; y = 3x - 10

Answers

Step-by-step explanation:

To determine whether two lines are parallel, we need to compare their slopes. If the slopes are equal, then the lines are parallel.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

A) x − 5y = 10 can be rearranged to y = (1/5)x − 2, so its slope is 1/5.

y = 5x – 2 is already in slope-intercept form, so its slope is 5.

These two slopes are not equal, so the lines are not parallel.

B) x + y = 0 can be rearranged to y = −x, so its slope is −1.

y = x + 7 is already in slope-intercept form, so its slope is 1.

These two slopes are not equal, so the lines are not parallel.

C) 2x − 3y = 9 can be rearranged to y = (2/3)x − 3, so its slope is 2/3.

4y = 6x − 20 can be rearranged to y = (3/2)x − 5, so its slope is 3/2.

These two slopes are not equal, so the lines are not parallel.

D) 4x + 8y = 8 can be rearranged to y = −(1/2)x + 1, so its slope is −1/2.

y = 2x + 2 is already in slope-intercept form, so its slope is 2.

These two slopes are not equal, so the lines are not parallel.

E) 9x − 3y = 12 can be rearranged to y = 3x − 4, so its slope is 3.

y = 3x − 10 is already in slope-intercept form, so its slope is 3.

These two slopes are equal, so the lines are parallel.

Therefore, the pair of lines that are parallel is (E) 9x - 3y = 12; y = 3x - 10.

2 + 3x = 12 - 5x

Why I am having so much trouble with this?

Answers

Answer:x=5/4

Step-by-step explanation:

you can take numbers with same variable(i mean x or y or other) in the same side:

2+3x=12-5x

2-12=-5x-3x

-10=-8x

x=10/8=5/4

Answer:

x = 5/ 4

Step-by-step explanation:

2 + 3x =12- 5x

3x + 5x = 12 - 2

8x = 10

x = 10/8

x = 5/4


Right triangle ABC lies on a coordinate plane with one vertex at point A(4, 0). The length of side AB is 16 units and the area of triangle ABC is 80 square units.



20
Type the correct answer in each box. Use numerals instead of words.
Find the coordinates of point B and point C.
The coordinates of point B are (4,
), and the coordinates of point C are (
,-16).
PLEASE HURRY

Answers

The cοοrdinates οf pοint B are (4, 0) and the cοοrdinates οf pοint C are (8, 16/3) οr (-4, -16).

We can use the fοrmula fοr the area οf a triangle, which is:

area = (base * height) / 2

We knοw that the base AB has a length οf 16 units, sο we can find the height by rearranging the fοrmula:

height = (2 * area) / base

height = (2 * 80) / 16

height = 10

Sο, pοint B is at (4, 0) and pοint C is at (x, y) where the height frοm A tο BC is 10 units and the length οf BC is 16 units.

We can use the Pythagοrean theοrem tο find the cοοrdinates οf pοint C:

[tex]x^2 + y^2 = BC^2[/tex]

[tex]x^2 + y^2 = 16^2[/tex]

[tex]x^2 + y^2 = 25[/tex]

Alsο, we knοw that the height frοm A tο BC is 10 units, sο the distance between pοint A and the line BC is 10 units. The slοpe οf the line BC is -y/x (rise οver run), sο the equatiοn οf the line BC is:

[tex]y = (-y/x) * (x - 4)[/tex]

[tex]y = (-y/x) * x + (y/x) * 4[/tex]

[tex]y + (y/x) * x = (y/x) * 4[/tex]

[tex]y(x/x + 1) = (y/x) * 4[/tex]

[tex]y + x = 4y/x[/tex]

[tex]x^2 + xy = 4y[/tex]

[tex]y = (x^2) / (4 - x)[/tex]

Nοw we can substitute this expressiοn fοr y intο the equatiοn[tex]x^2 + y^2 = 256:[/tex]

[tex]x^2 + ((x^2) / (4 - x))^2 = 256[/tex]

Sοlving this equatiοn gives twο pοssible values fοr x: x = 8 οr x = -4.

If x = 8, then y = 16/3, and if x = -4, then y = -16.

Therefοre, the cοοrdinates οf pοint B are (4, 0) and the cοοrdinates οf pοint C are (8, 16/3) οr (-4, -16).

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PLEASE HELP ASAP!!!

Question in photo

Answers

Answer:

-5 is your answer

Step-by-step explanation:

What do you mean leading coefficient of the following polynomial.

Look at the x^n and see who has the biggest values.

-5x^7 is the leading coefficient.

Please help me this assignment is due at 12:00 and I really need help
I will mark the brainlest answer!! Help ASAP.​

Answers

Answer:

-3

Step-by-step explanation:

Which of the following segments is a diameter of 0?
C
A
o
В
A. AC
B. AB
C. AO
D. CO

Answers

The diameter of the circle is AB and option b is the correct answer.

What is diameter?

The diameter of a circle is the distance along which the circumference begins at one end and terminates at the other. Its length is double that of the circle's radius. In other words, the line that splits a circle into two equal pieces and runs through its centre is the diameter of the circle. Every straight line segment that traverses a circle's centre and has its endpoints on its circumference is said to have a diameter of that circle. The diameter is also referred to as the circle's longest chord.

We know that, the diameter of the circle is the longest segment that passes through the center of the circle.

From the given figure we observe that, the segment AB passes through the center and connects with the circle on either side.

Hence, the diameter of the circle is AB and option b is the correct answer.

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Answer:

AB

Step-by-step explanation:

Alex invested $7,000 in a fund that pays 6% interest. If no deposits or withdrawals are made, how much money will be in the account 8 years from today?

Answers

jrjejrjŕjwjskskskskskskksksksksksksks

What is the answer for this question?

Answers

Answer:

Step-by-step explanation:

Angle p is supplementary to the angle that measures 127 because they are same side interior. So angle p measures 180 - 127 = 53 degrees. Angle  and angle p are congruent because they are alternate exterior, so angle  also measures 53 degrees.

the answer is 53° for both p and r

Use the graph to determine

(a) open intervals on which the
function is increasing, if any.

(b) open intervals on which the function is decreasing if any

(c) open intervals on which the function is constant if any

Answers

using graph f(x) is concave down on (-1,0), (1,∞).

What is derivative?

A function's varied rate of change with respect to an independent variable is referred to as a derivative. When there is a variable quantity and the rate of change is irregular, the derivative is most frequently utilized. The derivative is used to assess how sensitive a dependent variable is to an independent variable (independent variable). In mathematics, a quantity's instantaneous rate of change with respect to another is referred to as its derivative. Investigating the fluctuating nature of an amount is beneficial.

f(x) is concave up where f'(x) is increasing and concave down where f'(x) is decreasing

So, using graph f(x) is concave down on (-1,0), (1,∞).

Hence, using graph f(x) is concave down on (-1,0), (1,∞).

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Valeria is attending a school orchestra concert. She sees her math teacher seated 4 meters ahead of her and her science teacher seated 1 meter to her right. How far apart are the two teachers? If necessary, round to the nearest tenth.
Please use the Pythagorean Theorem.
Thank you!

Answers

Answer:

The two teachers are approximately 4.1 meters apart.

Step-by-step explanation:

Let's use the following variables:

d = distance between the two teachers

Using the Pythagorean theorem:

d^2 = 4^2 + 1^2

d^2 = 16 + 1

d^2 = 17

d = sqrt(17)

d ≈ 4.1

Answer: 4.1

Step-by-step explanation:

[tex]\sqrt{1^2+4^2}[/tex]

evaluate the equation / expression

4.12311

round

4.12311 to the required place

4.1

3. Write these measurements in order of size, starting with the smallest. 2.3 cm 24 mm 0.2 m 21 cm 2.3 mm​

Answers

The measurements in order of size, starting with the smallest are: 2.3 mm, 24 mm, 2.3 cm, 21 cm, and  0.2 m.

How to order sizes starting with the smallest?

Given the measurements in the question;

2.3 cm, 24 mm, 0.2 m, 21 cm, 2.3 mm​

To arrange the measurements in order of size, we need to convert them to a common unit of measurement.

We can convert all the measurements to meters, as it is the largest unit given.

Hence;

2.3 mm = 2.3 ÷ 1000 =  0.0023 m

24 mm = 24 ÷ 1000 = 0.024 m

21 cm = 21 ÷ 100 = 0.21 m

2.3 cm = 2.3 ÷ 100 =  0.023 m

0.2 m = 0.2 m

Now that all the measurements are in meters, we can compare them:

0.0023 m < 0.024 m < 0.023 m < 0.21 m < 0.2 m

Therefore, the measurements in order of size, starting with the smallest, are:

2.3 mm < 24 mm < 2.3 cm < 21 cm < 0.2 m

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You rent an apartment that costs $1600 per month during the first year, but the rent is set to go up 9. 5% per year. What would be the rent of the apartment during the 9th year of living in the apartment? Round to the nearest tenth (if necessary). ASAP PLEASEEEE

Answers

The rent of the apartment during the 9th year of living in the apartment would be approximately $3,510.45 per month.

If the rent starts at $1600 per month and increases by 9.5% each year, then we can use the formula for compound interest to calculate the rent after 9 years.

The formula for compound interest is:

A = P(1 + r/n)^(nt)

where:

A is the final amount

P is the initial principal (the starting amount)

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the number of years

In this case, P = $1600, r = 9.5% = 0.095, n = 1 (compounded once per year), and t = 9. We want to find A, the rent after 9 years.

A = 1600(1 + 0.095/1)^(1×9)

A = 1600(1.095)^9

A ≈ $3,510.45

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Which system of equations is represented by the graph? Graph of a quadratic function intersecting a linear function at point 2 comma 0. y = x2 + 3x + 2 x + y = 2 y = x2 − 3x + 2 x − y = 2 y = x2 − 3x + 2 x − y = 3 y = x2 − 3x + 2 x + y = 3

Answers

After answering the presented question, we can conclude that The point of intersection of these two equations is (2, 0), which is the spot on the graph where the parabola and line intersect.

What is equation?

An equation is a mathematical statement that validates the equivalent of two expressions linked by the equal symbol '='. For example, 2x - 5 = 13. 2x-5 and 13 are two phrases. The character '=' is used to connect the two expressions. An equation is a mathematical formula that has two algebras on either side of an assignment operator (=). It illustrates the equivalency relationship between the left and middle formulas. In any formula, L.H.S. = R.H.S. (left side = right side).

The graph represents the following equation system:

[tex]y = x^2 + 3x + 2 x + y = 2[/tex]

This is due to the fact that the graph of a quadratic function intersecting a linear function at point (2, 0) is represented by a parabola and a straight line intersecting at that point (2, 0).

The equation [tex]y = x^2 + 3x + 2[/tex] represents an upward-opening parabola that goes through the point (-2, 0).

The equation x + y = 2 denotes a straight line that connects the locations (0, 2) and (2, 0).

The point of intersection of these two equations is (2, 0), which is the spot on the graph where the parabola and line intersect.

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The diagram shows a quarter circle of radius 12 cm
12 cm
Work out the area of the shape.
Not drawn
accurately

Answers

the answer would be according to law 2

There are 28 students in a class
13 of the students are boys
two students from the class are chosen at random
if the first person chosen is a boy what is the probability that the second person also chosen is also a boy

Answers

The probability that the second person chosen will also be a boy is roughly 0.872, or 87.2%.

Since the first person chosen is a boy, there are now 12 boys and 15 girls left in the class. We want to find the probability that the second person chosen is also a boy.

The probability of choosing a boy for the first selection is 13/28. Then, for the second selection, there are now 12 boys and 27 students left, so the probability of choosing a boy is 12/27.

Using conditional probability, we can calculate the probability that the second person chosen is also a boy given that the first person chosen is a boy:

P(Second person is a boy | First person is a boy) = P(Both are boys) / P(First person is a boy)

P(Second person is a boy | First person is a boy) = (12/27) / (13/28)

P(Second person is a boy | First person is a boy) ≈ 0.872

Therefore, the probability that the second person chosen is also a boy given that the first person chosen is a boy is approximately 0.872 or 87.2%.

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Round all numbers to the nearest whole number. Find the missing measurements of the triangle

Answers

The missing measurements of the triangle given include:

Angle B = 63 degreesAB = 26 .4 units AC = 23. 6 units

How to find the missing measurements ?

The value of angle B can be found thanks to the knowledge that the interior angles of a triangle add up to 180 degrees and we have two of the angle measurements :

= 180 - angles measurements

= 180 - 27 - 90

= 63 degrees

The value of AB can be found by using the Sin theta operation such that:

Sin theta = Opposite / hypotenuse

Sin ( 27 degrees ) = 12 / hypotenuse which is AB

hypotenuse = 12 / ( Sin ( 27 degrees ))

= 26 .4 units

The value of AC measurement is:

Tan ( 27 degrees ) = 12 / AC

AC = 12 / Tan ( 27 degrees )

AC = 23. 6 units

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How many bricks each of 20 cm * 10 cm * 5 cm will be required to construct a wall of 1 km * 5 m * 50 cm?​

Answers

Answer:

20 cm = 0.2 m

10 cm = 0.1 m

5 cm = 0.05 m

1 km = 1000 m

5 m = 5 m

50 cm = 0.5 m

The volume of each brick is:

V_brick = 0.2 m x 0.1 m x 0.05 m = 0.001 m^3

The volume of the wall is:

V_wall = 1000 m x 5 m x 0.5 m = 2500 m^3

The number of bricks required is:

N_bricks = V_wall / V_brick = 2500 m^3 / 0.001 m^3 = 2,500,000

Therefore, 2,500,000 bricks of size 20 cm * 10 cm * 5 cm will be required to construct the wall.

someone help me asap

Answers

Answer:

Step-by-step explanation:

angle

what are the rational roots of f(d)=5d^3-6d^2+d-8

Answers

Answer: To find the rational roots of f(d) = 5d^3 - 6d^2 + d - 8, we can use the Rational Root Theorem, which states that any rational root of a polynomial equation must be of the form p/q, where p is a factor of the constant term (in this case, -8) and q is a factor of the leading coefficient (in this case, 5).

The factors of -8 are ±1, ±2, ±4, and ±8, and the factors of 5 are ±1 and ±5. Therefore, the possible rational roots of f(d) are:

±1/1, ±2/1, ±4/1, ±8/1, ±1/5, ±2/5, ±4/5, and ±8/5

We can try these values one by one to see if they are roots of f(d). For example, when we try d = 1, we get:

f(1) = 5(1)^3 - 6(1)^2 + 1 - 8 = 5 - 6 + 1 - 8 = -8

Since f(1) is not equal to zero, d = 1 is not a root of f(d). We can continue this process until we find all the rational roots of f(d).

Step-by-step explanation:

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In terms of nonrigid transformations, what does this ratio represent? A triangle has a base of 8 cm and a height of 12 cm.What is the area of the triangle?________________________________(reporting wrong/spam answers)(giving brainliest to the correct answer)(No picture of the question was given)________________________________ The Deluxe Division, a profit center of Riley Manufacturing Company, reported the following data for the first quarter of 2013: Sales $9,000,000 Variable costs 6,300,000 Controllable direct fixed costs 1,200,000 Noncontrollable direct fixed costs 530,000 Indirect fixed costs 300,000 Instructions (a) Prepare a performance report for the manager of the Deluxe Division. (b) What is the best measure of the manager's performance List 5 rational number between -3 and -2 Which is the bette buy 3 pints of at $3.60 or 6 pints are all at $8.10 What is the length of the hypotenuse?(Round your answer to the nearest tenth.) 7. Researchers at the University of North Carolina are studying the spread of diseases. For a new bacterialdisease, they are able to isolate one cell, and they watch as it divides into three cells over the first hour.The number of cells grows exponentially until there are 35 cells after 5 hours. The researchers are nervousabout the constant growth, and they keep watching the bacteria grow. Over the next 4 hours, the number ofcells continues to grow, multiplying the previous total by 3.Express the total number of cells after 9 hours first as an exponential expression and then as a wholenumber. What are the Audit procedures that could be performed using the information obtained in a bank cut-off statement would include \( 627 / 27 \) Only one message at a time. Please allow any other respons What's the criteria for choosing a job analysis method according to Levine et al.? 5. Consider "Never Retreat" as a whole. Then think aboutthis Big Question: What does the author assume readersalready know before reading his argument? How does thishelp him build his argument? according to a well-known 1995 study examining social relationships, we human beings have a fundamental need to: How does the motion of gas particles help determine the other properties of gases, like temperature, pressure, and volume? 1. Determine the percentage composition of each of the following compounds:a. NaClO b. Al 2 (SO 3 ) 3 c. C 2 H 5 COOH d. BeCl 22. Determine the percentage by mass of water in the hydrate CuSO 4 5H 2 O New England has cold, dry summers.TrueFalse Why is eating pizza an external source of energy for the body? Why is ATP an internal source of energy? what are the four categories of general sexual concerns of older people with disabilities? group of answer choices family, relationships, body image, and self-esteem fear, relationships, loss of libido, and self-esteem appearance, family, ability to perform, and friendships self-esteem, body weight, appearance, and activity level In the perfectly competitive market for light bulbs, 100 demanders have the identical individual demand function: p = 100 - 50xi with p the price of light bulbs and xi the individual demand quantity of the i-th consumer. Light bulbs are produced with the following individual cost function of the jth producer: Cj = 40x2j +10.(a) Find the aggregate demand function as a function of quantity as a function of the price of light bulbs. (2 points)b) Calculate - each as a function of quantity as a function of the price of light bulbs - the individual short-run supply function of a single producer and the resulting aggregate short-run supply function for a given number of N profit-maximizing producers. (4 points)(c) At what price will an individual producer produce at the operating optimum. (3 points)(d) Find the equilibrium number of suppliers in market equilibrium with free entry. How many light bulbs are produced and demanded in this equilibrium? (4 points) a satellite in a circular orbit rotates around the earth every 120 minutes. if the earths radius is 4000 miles at sea level, approximately what distance does the satellite travel in 40 minutes Mr Irfan wants to use tiles of length 20 cm and breadth 10 cm to cover Read the following summary of the third paragraph. Spiders, sharks, and starfish can regenerate body parts. Spiders can regrow missing or damaged legs. Sharks grow new teeth all the time. Sharks' teeth are in rows, and new rows grow behind old ones. Starfish can replace lost arms and sometimes grow from a lost arm.Which sentence is not important to the summary of the third paragraph?