PLEASE HELP ME SOLVE THIS!! I AM LOST! HELP ME PLEASE!!!! THANKS​

PLEASE HELP ME SOLVE THIS!! I AM LOST! HELP ME PLEASE!!!! THANKS

Answers

Answer 1

The Cost of the blue paint that would cover the shaded area = $0.495

The Cost of the white paint that would cover the triangular shapes = $0.6678

How to Find the Area of a Circle and Triangle?

Recall the following formulas:

Area of a circle = πr²

Area of a triangle = 1/2 * base * height.

Area the blue paint will cover = 2(1/2 * base * height) = 2(1/2 * 1.5 * 1)

= 1.5 ft²

Cost of the blue paint = 1.5 * 0.33 = $0.495

Area the blue paint will cover = πr² - area of the two triangles

= 3.14 * 1.5² - 1.5 = 5.565 ft²

Cost of the white paint = 5.565 * 0.12 = $0.6678

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Related Questions

A circular arc has measure 6cm and is intercepted by a central angle of 40° . Find the radius r of the circle

Answers

The radius of the circle with central angle θ = 40° is r = 8.594 cm

Given data ,

A circular arc has measure 6cm and is intercepted by a central angle of 40°

Now , the radius r of the circle is given by

r = L / θ

where θ is in radians

So , 40° = 0.6981317007977318 radians

On simplifying , we get

r = 40 / 0.6981317007977318

Now , the measure of r = 8.594 cm

Hence , the radius is r = 8.594 cm

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Pls help
Here is a figure made of two circles inside of one circle.

Answers

Answer:

(a) Area of the big circle

= π(9^2) = 81π square cm

(b) Area of both little circles

= 2π(4.5^2) = 40.5π square cm

= 81π/2 square cm

(c) Area of the blue section

= 81π - 40.5π = 40.5π square cm

= 81π/2 square cm

What is the measure of y (angle AXB)?
1. 90°

2. 60°

3. 45°

4. 30°

Answers

Answer:

4.   30°

Step-by-step explanation:

Sum of interior angles of a triangle = 180

y° + ∠XYZ + ∠YZX = 180

y° = 180 - 90 - 60 = 30°

Sydney started with no money in her piggy bank and adds $3.50 each day. Destiny started with $50 in her piggy bank and spends $5 of her money each day. Which equation or inequality represents the number of days, x, needed for Destiny and Sydney to have the same amount of money in their piggy banks?

Answers

The inequality represents the number of days, x, needed for Destiny and Sydney to have the same amount of money in their piggy banks is 50 ≥ 3.5x + 5

We are given that Sydney started with no money in her piggy bank and adds $3.50 each day. Destiny started with $50 in her piggy bank and spends $5 of her money each day.

We need to find the equation or inequality that represents the number of days, x, needed for Destiny and Sydney to have the same amount of money in their piggy banks.

Sydney started with zero money in her piggy bank and adds $3.50 each day means 0 + 3.50 and Destiny started with $50 in her piggy bank and spends $5 of her money each day then

the inequality  becomes as ;

50 ≥ 3.5x + 5

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Would like answers for both, thanks in advance :D

Answers

Answer:

Number three is D.

Step-by-step explanation:

a student in a foreign language progam learns 15 new word each week which graph best represents the relationship between x the number of weeks the student has been in the progam and y the total number of new words the student has learned

Answers

The proportional relationship y = 15x represents the relationship between the variables, and it's graph is given by the image presented at the end of the answer.

What is a proportional relationship?

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

A student in a foreign language program learns 15 new word each week, hence the constant is given as follows:

k = 15.

Meaning that the equation is:

y = 15x.

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Let h(x) = x² - 8x.
(a) Find the average rate of change from 3 to 9.
(b) Find an equation of the secant line containing (3,h(3)) and (9, h(9))

Answers

t h(x) = x² - 8x.
(a) Find the average rate of change from 3 to 9.
(b) Find an equation of the secant line containing (3,h(3)) and (9, h(9))
your avatar
(a) The average rate of change from 3 to 9 can be found by calculating the slope of the secant line connecting the points (3, h(3)) and (9, h(9)).
The formula for the slope of a line passing through two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
Applying this formula, we have:
m = (h(9) - h(3)) / (9 - 3)
To find the values of h(9) and h(3), we need to substitute 9 and 3 into the function h:
h(9) = 9² - 8(9) = -27 h(3) = 3² - 8(3) = -9
Substituting into the formula for slope, we have:
m = (-27 - (-9)) / (9 - 3) = -18 / 6 = -3
Therefore, the average rate of change from 3 to 9 is -3.
(b) To find the equation of the secant line containing (3, h(3)) and (9, h(9)), we need to find the slope of the line and its y-intercept.
We've already calculated the slope in part (a) as -3. To find the y-intercept, we can use the point-slope form of a line:
y - y1 = m(x - x1)
where m is the slope, (x1, y1) is a point on the line, and (x, y) are any other points on the line. We can choose either (3, h(3)) or (9, h(9)) as our point.
Let's use (3, h(3)):
y - h(3) = -3(x - 3)
Simplifying, we get:
y = -3x + 18 - 9 y = -3x + 9
Therefore, the equation of the secant line is y = -3x + 9.

lina bought two patio chairs that cost $ 37 each and a table that cost $ 58. what is the total cost of these items?

Answers

answer 95 I think that is the answer do you know it it is hard

Answer:

Total cost = $132

Step-by-step explanation:

We can find the total cost using the formula

total cost = (item 1 quantity * cost) + (item 2 quantity * cost)

We essentially find the sum of the product of item quantity and cost for each item:

Thus, for 2 chairs costing $37/chair and 1 table costing $58/table, the total cost is:

Total cost = (2 * $37) + (1 * $58)

Total cost = $74 + $58

Total cost = $132

I need help with this problem.

Answers

According to the information, the elasticity is 0.619, suggests that the demand is relatively insensitive to price changes.

How to calculate the elasticity?

To evaluate the elasticity at $p=2$, we need to use the formula for price elasticity of demand:

E = (dQ/Q) / (dP/P)

where:

E = price elasticity of demand

dQ = change in quantity demanded

Q = quantity demanded

dP = change in price

P = price

We are given the equation for the demand function:

x = 15000 - 3535√p

So, the quantity demanded at price $p$ is $Q = x(p) = 15000 - 3535\sqrt{p}$.

Taking the derivative of Q with respect to p:

dQ/dp = -3535/(2√p)

Now we can calculate the elasticity at $p=2$:

Q = 15000 - 3535√2

dQ/dp = -3535/(2√2)

P = 2

dP = 0

E = (dQ/Q) / (dP/P)

E = (-3535/(2√2)) / [(15000 - 3535√2)/2]

E ≈ -0.619

According to the above, the elasticity is 0.619, suggests that the demand is relatively insensitive to price changes.

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Write your answer has a fraction in the simplest form

Answers

We can see here that the probability that it is yellow is: 2.4.

What is probability?

Probability is a way to gauge how likely something is to happen. It is stated as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty of the event.

Probability that the marble is yellow:

Total marbles = 12

Yellow marbles = 5

Probability that the marble is yellow: 12/5 = 2.4

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What is the value of x?
34°
(-1/2 x) °

Answers

Answer:

The expression "34° (-1/2 x) °" can be simplified by multiplying 34° by the quantity (-1/2 x):

34° (-1/2 x) ° = (34°) * (-1/2 x)

To multiply two values with units, we can simply multiply the numerical parts and keep the units. Therefore, we get:

(34°) * (-1/2 x) = -17x°

So the value of "34° (-1/2 x) °" is simply -17x°.

Justify Results Hector was asked to simplify the expression (5^-3/5^-1) He gave the answer 1/25 Did Hector give the correct answer? Explain.​

Answers

Answer:

To simplify the expression (5^-3/5^-1), we need to use the rule of exponents that states when dividing two powers with the same base, we can subtract the exponents.

Using this rule, we get:

(5^-3/5^-1) = 5^-3 ÷ 5^-1 = 5^-3 × 5^1 = 5^-2 = 1/25

Therefore, Hector gave the correct answer.

A moving company offers two sizes of moving trucks. Truck G can fit 20 boxes that measure 1 cubic yard. Truck H is twice as large.

Which measurement can be used to determine the amount of boxes that can fit into Truck H?

Responses?

Answers

Measurement can be used to determine the amount of boxes that can fit into Truck H is 2(20 boxes) = 2 cubic yards

What are algebraic expressions?

Algebraic expressions are defined as those mathematical expressions that consists of variables, terms, coefficients, constants and factors.

Algebraic expressions are also known  to be composed of arithmetic operations, such as;

MultiplicationDivisionFloor divisionAdditionSubtractionBracketParentheses

From the information given, we have that;

For Truck G = 20 boxes

And 20 boxes = 1 cubic yard

Then,

Truck H = 2(Truck B)

Truck H = 2(20 boxes)

Truck H = 40 boxes

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Sue likes to skate at a skate park that is due south of her school and due west of her favorite ice cream parlor. If the skate park is 4 miles from her school and the straight-line distance between the school and the ice cream parlor is 5 miles, how far is the skate park from the ice cream parlor?

Answers

The skate park is approximately 6.4 miles from the ice cream parlor.

We can use the Pythagorean theorem to find the distance between the skate park and the ice cream parlor.

As per the information, we can see that the distance we're looking for is the hypotenuse of a right triangle with legs of length 4 miles (distance from school to skate park) and 5 miles (distance from school to ice cream parlor).

Using the Pythagorean theorem, we get:

c² = a² + b²

where c is the distance between the skate park and the ice cream parlor, and a and b are the distances from the school to the skate park and ice cream parlor, respectively.

Substituting the values we know, we get:

c² = 4² + 5²

c² = 16 + 25

c² = 41

Taking the square root of both sides, we get:

c = √41

c ≈ 6.4

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5
Select the correct answer.
If the domain of the function, f, is restricted to x 20, which function is the inverse off?
f(x) = 91² - 12, 20
O A. q(z) = √2+1
√√2-12
3
OB. h(z)
OC. p(z) = √2-12
c.
9
√2+12
D. g(x)
O D.

Answers

The inverse of the function f(x) = 9x²- 12 is p(x) = √(x + 12)/9

How to find the inverse of the function?

Given that the domain of a function f is restricted to x ≥ 0, we need to find the inverse of the function

f(x) = 9x²- 12 for x ≥ 0.

To find the inverse of the function, we proceed as follows.

f(x) = 9x²- 12

Let f(x) = y

So, we have that

y = 9x²- 12

Adding 12 to both sides of the equation, we have that

y + 12 = 9x²- 12 + 12

y + 12 = 9x²

Dividing both sides by 9, we have that

(y + 12)/9 = 9x²/9

(y + 12)/9 = x²

Taking square root of both sides, we have that

√x² = √(y + 12)/9

x = √(y + 12)/9

Now, replacing x with y, we have that

x = √(y + 12)/9

y = √(x + 12)/9

Replacing y with f⁻¹(x), we have that

f⁻¹(x) = √(x + 12)/9

So, the inverse is p(x) = √(x + 12)/9

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A recycling bin contained 40 pounds of plastic in October and 50 pounds of plastic in
November. By what percentage did the amount of plastic increase from October to
November?

Answers

The percentage increase by the given data is 25%.

We are given that;

Weight of plastic in october= 40

Weight of plastic in november= 50

Now,

To find the percentage increase of the amount of plastic from October to November, we need to find the absolute increase and divide it by the original amount, then multiply by 100 to get the percentage.

The absolute increase is the difference between the final amount and the initial amount, which is 50 - 40 = 10 pounds.

The original amount is the initial amount, which is 40 pounds.

10​/40×100=25%.

Therefore, by the percentage the answer will be 25%.

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When graphing an equation on graph paper I have to have all of these but....
O label numbers and x/y axis
O work shown
O t-chart or slope intercept form explaned
at least 4 points on the graph

Answers

When graphing an equation on graph paper I have to have all of these but: B. work shown.

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.

What is a graph?

In Mathematics and Geometry, a graph is a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis) respectively.

In conclusion, you do not need to have your algebraic work shown when graphing an equation on graph paper.

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PLS HELP ME OUT! A sporting event has a promotion in which the first 1,000 fans to enter the arena receive either a blue cap or a red cap. A random number generator is used to simulate the color of a cap given to a person where indicates a blue cap and indicates a red cap. Ten simulations, each consisting of ten random numbers, are conducted, and the results are shown in the following table:
Based on the simulations, what is the probability that ten hats given to ten people will consist of more blue caps than red caps? a. 0.20
b. 0.40 c. 0.60 d. 0.80

Answers

The probability that ten hats given to ten people will consist of more blue caps than red caps is given as follows:

a. 0.2.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The outcomes in which there are more blue than red caps are those in which the number of zeros is greater than the number of ones, hence the number of desired outcomes is of:

2. (simulation number 7 and simulation number 10).

Hence the probability is of:

p = 2/10

p = 0.2.

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Answers

Answer:

Step-by-step explanation:

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I think it Frequently table

Two train tracks run parallel leaving a station. Train A leaves the station heading east at 55 mph. Train B leaves the station 2 hrs and 15 minutes later also traveling east but at 120 mph. The equation below gives the distance, D, between the two trains as a function of the number of hours, T, that have passed since train B left the station.



For which two values of T will D = 40? Round to the nearest tenth.
A.
0.1 and 0.3
B.
12.9 and 25.2
C.
-1.3 and 1.3
D.
1.3 and 2.5

Answers

Answer: Answer choice C: -1.3 and 1.3.

Step-by-step explanation:

We can start by using the formula for the distance, D, between the two trains as a function of time, T:

D = 55(T + 2.25) - 120T

Simplifying this equation, we get:

D = 55T + 123.75 - 120T

D = -65T + 123.75

To find the two values of T for which D = 40, we can set this equation equal to 40 and solve for T:

40 = -65T + 123.75

-85 = -65T

T = 1.31

Plugging this value back into the original equation, we can see that D is equal to 40:

D = -65(1.31) + 123.75

D = 40.0375

Therefore, one solution is T = 1.31. To find the other solution, we can plug D = 40 into the equation and solve for T:

40 = -65T + 123.75

-83.75 = -65T

T = 1.29

Plugging this value back into the original equation, we can see that D is equal to 40:

D = -65(1.29) + 123.75

D = 40.0375

Therefore, the two values of T for which D = 40 are approximately 1.3 and 1.3, which rounds to answer choice C: -1.3 and 1.3.

A right prism with a triangular base has a volume of 195 mm3 . The right prism is 13 mm tall. The triangular base of the prism has a base length of 5 mm .

What is the base height of the triangular base of the right prism? Round your answer to the nearest whole millimeter, if necessary.

Answers

The first time you were able and you had to do

Two ramps are placed back to back as shown. What is the length of the ramp labeled x?

Answers

The value of the x as shown in the graph will be 16.61 ft.

From the sine rule in the triangle,

In a triangle ABC, where a, b, and c are the side lengths opposite to the angles A, B, and C respectively, and where the opposite angles A, B, and C are opposite to sides a, b, and c respectively, the Sine Rule states:

[tex]\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}[/tex]

Use the Law Of Sines to solve this:

(Sin 7)/9 = (Sin 13)/x

Cross multiply...

x(Sin 7) = 9(Sin 13)

Divide both sides by Sin 7

x = [9(Sin 13)]/(Sin 7)

x = 16.61254121

therefore, for the ramp, the value of the x will be 16.612 ft.

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Question 10: The graph below shows a company's profits f(x), in dollars, depending on the price of 8.01 & 8.04
pens x, in dollars, sold by the company.
Part A (2pts): Highlight your answer below
150
90
00
30
f(x)
What does the maximum value represent?
A The point where no profit is made
B.
C.
D.
The point where the most profit is made
The point where the most pens are made
The point where no pens are made.
Part B (2 pts) Highlight/circle your answer What do the x-intercepts represent?
A.
The price per pen where the most profit is made
B.
The price per pen where no profit is made.
C.
D.
The point where the most pens are made.
The point where no pens are made.
Part C (3 pts): What is an approximate average rate of change of the graph from
x=3 to x = 6? Show your work.
Part D (3 pts) Drag & Drop into the blanks to describe the constraints of the
domain.
The domain of this graph given the situation is
because
beyond those points.
+
Z

Answers

The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.

Part A:

The x-intercepts represent a zero profit.

The maximum value of the graph represents the maximum profit.

The function increases up till the vertex and decreases after it.

This means that the profit increases as it reaches the peak at the vertex.

It decreases after the vertex up till it reaches zero.

On the left of the first zero and on the right of the second zero, the profits are negative.

Part B:

An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5.

Part C:

Simply, the domain is constrained by x=0.

We are obliged at x=6 .

This is because we have to avoid a negative profit.

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Jacob is standing 112 m from a building. The angle of elevation from where he is standing on the ground to the top of the building is 62°.

How tall is the building?



Round the final answer to the nearest tenth

Answers

Answer:

Step-by-step explanation:

twice the sum of a number and 5 is equal to three times the difference of the number and 4

Answers

Answer:

2(x + 5) = 3(x - 4)

2x + 10 = 3x - 12

x = 22

NO LINKS!! URGENT HELP PLEASE!!!

Determine the equation of the circle graphed below. Part 2c^2

Answers

Answer:  [tex](x+7)^2 + (y+1)^2 = 9[/tex]

center = (-7, -1)

radius = 3

======================================================

Explanation:

The highest point on the circle is at (-7,2)

The lowest point is at (-7, -4)

Connecting these endpoints gets us one diameter of this circle.

Apply the midpoint formula to these endpoints.

[tex]\text{Endpoints: }(x_1,y_1) = (-7,2) \text{ and } (x_2,y_2) = (-7,-4)\\\\\text{Midpoint} = (x_m, y_m)\\\\\begin{array}{|l|l|}\cline{1-2}x_m = \frac{x_1 + x_2}{2} & y_m = \frac{y_1 + y_2}{2}\\ & \\x_m = \frac{-7 +(-7)}{2} & y_m = \frac{2 +(-4)}{2}\\ & \\x_m = \frac{-14}{2} & y_m = \frac{-2}{2}\\ & \\x_m = -7 & y_m = -1\\\cline{1-2}\end{array}\\\\\text{The midpoint is located at }(-7, -1)\\\\[/tex]

This midpoint of a diameter is also the location of the center of the circle. Recall that all diameters are a special type of chord that pass through the center of a circle.

The circle is centered at (-7, -1)

---------

Now compute the distance from the center (-7,-1) to a point on the circle's edge. Let's say we picked (-7,2)

The distance between these points is 3 units, which we can find by subtracting the y coordinates and using absolute value

distance = |2 -(-1)| = |2+1| = |3| = 3

You could use the distance formula, but it's probably easier to subtract and then use absolute value.

The distance of 3 units represents the radius of the circle. It's how far you need to go from the center to get to the circle's edge.

Circle radius = 3

---------

Summary

(h,k) = (-7,-1) = centerr = 3 = radius

We plug those items into the circle template equation.

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-(-7))^2 + (y-(-1))^2 = 3^2\\\\(x+7)^2 + (y+1)^2 = 9[/tex]

That last equation is the final answer.

how to do I solve this

Answers

Answer:

the answer is 80

Step-by-step explanation:

1pound=16ounces

A data set contains three points, and two of the residuals are-7 and 4. What is the third residual?
A. 7
B. -3
C. -4
D. 3

Answers

Answer:

D

Step-by-step explanation:

We know that the residual is the difference between the observed value and the predicted value for a given point. Let's assume that the predicted values for the three points in the data set are denoted by ŷ₁, ŷ₂, and ŷ₃, and the observed values are denoted by y₁, y₂, and y₃.

We can write the residuals as:

e₁ = y₁ - ŷ₁

e₂ = y₂ - ŷ₂

e₃ = y₃ - ŷ₃

We are given that two of the residuals are -7 and 4.
Let's assume that e₁ = -7 and e₂ = 4.

We can use these values to find the third residual e₃.Since the sum of residuals is always equal to zero, we have:

e₁ + e₂ + e₃ = 0

Substituting the values of e₁ and e₂, we get

:-7 + 4 + e₃ = 0

Simplifying, we get:

e₃ = 3

Therefore, the third residual is 3, which is option D.

How many centimeters are in x meters

Answers

Answer:

multiply the number of meters by 100

Help!
The surface area of this rectangular prism is __ square centimeters.

Answers

The surface area of the rectangular prism is 216 square cm

What is the surface area of the rectangular prism?

From the question, we have the following parameters that can be used in our computation:

10 cm by 3 cm by 6 cm

The surface area of the rectangular prism is calculated as

Area = 2 * (3 * 10 + 3 * 6 + 10 * 6)

Evaluate

Area = 216

Hence, the area is 216 square cm

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Centrally acting agents that treat muscle spasms are used for: What is the value of X? a new vaccine offers protection against otitis media. administering the vaccine to 10,000,000 children under age 5 would reduce otitis media cases from 14,000,000 to 11,000,000. the vaccine costs $100 per patient. what is the cost per case avoided? group of answer choices $91 $333 $401 $615 Which of the following statements about poverty in Texas is accurate?Group of answer choicesChanges in public policy in the last 10 years have led to a dramatic increase in poverty.The poverty rate in Texas is lower than the national average.The poverty rate in Texas is higher than the national average.Changes in public policy in the last 10 years have led to a dramatic decrease in poverty A generator (illustrated in the figure) is employed to be a back up in case of loss of power from the electric company. the loop is square (10 cm x 10 cm) and consists of n turns. the magnetic field is constant through the generating volume with magnitude b 0.2 t. the generator runs at a frequency f = 60 hz. how many turns n are required so that the output voltage has a peak value of vpk = 100? PLEASE HELP I INCLUDED A WRITTEN VERSION OF MY PROBLEM I WROTE IT PLEASE HELP!!! Evans and Stoddart Framework of Determinants of Health By the 1820s, most african americans living in america had been born here. their experiences varied widely, depending on where they lived and whether they were free. describe the lives of people in each of the following groups of african americans. 4. rural slaves 5. urban slaves 6. free blacks WHY DO PEOPLE FOLLOW THE CROWD? 5 multiple choice questions on common lit Calculate the number of containers needed in a Kanban System given the following: Demand rate = 13 parts per hour, Safety stock required - 18% Container size = 14 parts, Time to cycle through entire system = 8 hours A. 7 B. 9 C. 6 D. 5 Which does not take place in the mitochondria of the cell?A. Carbon dioxide is producedB. Hydrogen ions cross a membraneC. Glucose is broken down into organic compoundsD. The ATP synthesis enzyme combines adp and phosphate explain your answer According to what we know from moral psychology, is it true that the ways situations are structured can lead ordinary people to do things that are morally wrong? The Perch Falls Minor Hockey Association was established in Perch Falls in January, Year 5. Its mandate is to promote recreational hockey in the small community of Perch Falls. With the support of the provincial government, local business people, and many individuals, the association raised sufficient funds to build an indoor hockey arena, and it also established an endowment fund for paying travel costs to tournaments on an annual basis.The following schedule summarizes the cash flows for the year ended December 31, Year 5.PERCH FALLS MINOR HOCKEY ASSOCIATION($000s)Operating fund Capital fund Endowment fund Cash inflows: Government grant for operating costs $ 45 Government grant for hockey arena $ 400 Corporate donations for hockey arena 200 Registration fees 20 Contribution for tournaments $ 35.0 Rental of hockey arena 40 Interest received 2.1 105 600 37.1 Cash outflows: Operating expenses 102 Construction of hockey arena 600 Purchase of corporate bonds 35.0 Travel costs for tournament 2.1 102 600 37.1 Cash, end of year $ 3 $ 0 $ 0 Additional Information What are reasons that black soldiers joined the Union? Question 3 options: MULTIPLE CHOICEFormer enslaved people joined the union to gain their freedom, to support the ending of slaveryThey joined to prove themselves and earn the same rights and respect they deservedThey joined because other people were joiningThey joined because of peer pressure Essay: Imagine your little brother or sister has expressed and interest in using drugs. Use an extra sheet of paper and write a 2-page (1,000 words) letter to your sibling explaining to him/her why he/she should not try drugs. T/F: A control that shows a message to the user that must be dismissed before anything else can be done in the app. A bank offers auto loans to qualified customers. The amount of the loans are normally distributed and have a known population standard deviation of 4 thousand dollars and an unknown population mean. A random sample of 22 loans is taken and gives a sample mean of 42 thousand dollars.Find the margin of error for the confidence interval for the population mean with a 90% confidence level.z0.10 z0.05 z0.025 z0.01 z0.0051.282 1.645 1.960 2.326 2.576 how did Raymond know there was a moose around?a. he saw moose droppingsb. he saw the moosec. he saw moose tracksd. he heard the moose Terrence has been seeing a therapist for his recurrent panic attacks. His therapist teaches him relaxation techniques to help him gain control over his anxiety symptoms. Terrence is also taught to identify the thoughts that are intrusive and aggravate his symptoms. He is encouraged to note these thoughts in a daily journal. Terrence's therapist is most likely using to treat his panic disorder.A) Cognitive-behavioral therapyB) Humanistic therapyC) Behavioral therapyD) Psychodynamic therapy write a balanced equation for the reaction that occurs when the excess acetic anhydride is destroyed by adding water at the end of the reaction