Many sheet materials used in construction, such as plywood or drywall, measure 8 feet by 4 feet. What are these dimensions in inches?

Answers

Answer 1
Well, if one foot=twelve inches, and x=number of inches, then we could say 8(12)=x, and 4(12)=x (but the two x’s are not the same because they’re separate equations) ANYWAY, after you calculate the new dimensions the answer would be 96 inches by 48 inches

Related Questions

please help look at this image

Answers

The answer is D ( 1/3 cup dish soap)

Answer: D

explanation: i'm not good at explaining stuff

please please please help

Answers

The amount of time it would take for Mr. Smith's rocket to return to the ground is 8 seconds.

How to determine the time when the rocket would hit the ground?

Based on the information provided, we can logically deduce that the height (h) in meters, of this rocket above the​ ground is related to time by the following quadratic function:

h(t) = -16t² + 128t

Generally speaking, the height of this rocket would be equal to zero (0) when it hits the ground. Therefore, we would equate the height function to zero (0) as follows:

0 = -16t² + 128t

16t² = 128t

16t = 128

Time, t = 128/16

Time, t = 8 seconds.

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You are decorating a parade float for a Cinco de Mayo parade. The area of the entire parade float is 192 square feet.
What is the area covered by paper flowers?
9 ft (x+12) ft x ft 5 ft
The area covered by paper flowers is square feet.

Answers

The area covered by paper flowers is; 45 square feet.

How to find the area of the rectangle?

The formula for area of a rectangle is;

Area = Length * width

Parameters of the parade float are;

Length = 9 + x + 12 = (x + 21) ft

Width = (x + 5) ft

Since entire area is 192 sq.ft, then;

(x + 5)(x + 21) = 192

x² + 5x + 21x + 105 = 192

x² + 26x - 87 = 0

Using online quadratic equation calculator gives;

x = 3

Thus;

Length of paper flower = x + 12 = 3 + 12 = 15 ft

Width of paper flower = 3 ft

Area of paper flowers = 15 * 3 = 45 square feet.

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the product of 7 x 2/21

Answers

Answer: The product of 7 and 2/21 is equal to 2/3.

Step-by-step explanation:

To multiply 7 by 2/21, we can first simplify 2/21 to its lowest terms by finding the greatest common factor of 2 and 21, which is 1. Then we can multiply 7 by 2 and divide the result by 21:

7 x 2/21 = (7 x 2) / 21 = 14 / 21

The fraction 14/21 can also be simplified to its lowest terms by dividing both the numerator and denominator by the greatest common factor, which is 7:

14/21 = (2 x 7)/(3 x 7) = 2/3

To multiply a whole number by a fraction, we simply multiply the whole number by the numerator of the fraction and then divide the product by the denominator. So, to find the answer to 7 times 2/21, we have:

7 x 2/21 = (7 x 2)/21 = 14/21

The fraction 14/21 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 7. This gives us:

14/21 = 2/3

So, 7 times 2/21 is equal to 2/3.

14/w = 8.4/5

Solve the proportion

Answers

The value of w is given by the proportion w = 8.333

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

14 / w = 8.4 / 5

Multiply by w on both sides of the equation , we get

w ( 8.4 / 5 ) = 14

Multiply by 5 on both sides of the equation , we get

8.4w = 70

Divide by 8.4 on both sides of the equation , we get

w = 70 / 8.4

w = 8.333

Hence , the equation is w = 8.333

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A spinner is divided into six equal parts numbered 1, 2, 3, 4, 5, and 6. In a repeated experiment, Ryan spun the spinner twice. The theoretical probability of both spins being odd numbers is 9/36.

If the experiment is repeated 140 times, predict the number of times both spins will be odd numbers.

140
70
36
35

Answers

If the experiment is repeated 140 times, the number of times both spins will be odd numbers, 35.

What is probability?

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

The theoretical probability of both spins being odd numbers is 9/36.

This means that, if the spinner was spun an infinite number of times, 9 out of every 36 spins would result in both spins being odd numbers.

In the repeated experiment, Ryan spun the spinner 140 times.

This means that, based on the theoretical probability, we can expect the number of times both spins will be odd numbers to be approximately

= 140 x 9/36

= 35

The answer is 35, with the expectation that the actual number of times both spins will be odd numbers in 140 trials may not be exactly 35.

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questions. Show your work.
1
If a company has 48 full-time employees (40 hours per week for
50 of the 52 weeks in a year) and 12 part-time employees who work
24 hours per week (for 50 weeks), how many labor hours are in the year?
If the company has experienced 6 recordable injuries, what is the IR?

Answers

The solution is, : d) 255 ≤ f(x) ≤ 340.

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

The function

f(x)= 8.5x

represents the amount of money that Steve earns given the number of hours, x, he works.

The dependent variable is the total amount that he earns, f(x) while the independent variable is the number if hours, x that he works. The range is the possible values of the dependent variable that satisfies the equation.

Steve works between 30 and 40 hours per week.

This means that the lowest amount that he earns is 8.5×30 = $255

The highest amount that he earns is 8.5× 40 = 340.

Therefore, the range is

255 ≤ f(x) ≤ 340

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On a trip from Louisiana to Florida, your family wants to travel at least 420 miles in 8 hours of driving. Write and solve an inequality to find what your average speed must be.

Answers

The required the average speed must be at least 52.5 mph to travel 420 miles in 8 hours.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or simply not equal to the other. A B indicates that a and b are not equal. When a b, an is said to be less than b. A > B indicates that an is superior to b. These two constitute tight inequity.

According to question:

Let the average speed of the trip "x" in miles per hour. To find out what the average speed must be, we need to write an inequality based on the given information and then solve it.

The formula for distance, speed, and time is:

distance = speed * time

So, the distance traveled can be written as:

distance = x * 8 hours

And the inequality based on the given information that the distance must be at least 420 miles is:

x * 8 ≥ 420

To solve for x, we need to divide both sides of the inequality by 8:

x ≥ 420 / 8

x ≥ 52.5

So, the average speed must be at least 52.5 mph to travel 420 miles in 8 hours.

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Which equation demonstrates the distributive property?
Responses
A 15 x 40 = 40 x 1515 x 40 = 40 x 15
B (3 + 8)5 = 5(3 + 8)(3 + 8)5 = 5(3 + 8)
C 15 + 40 = 5515 + 40 = 55
D 15 + 40 = 5(3 + 8)

Answers

none of them

c cc c c c c c c c c c c c c c c c c

2
Ling's savings account increases by 1% every month from interest. He
deposits x dollars into his account. Select all of the expressions that
represent the amount of money in his account after the interest is paid for
the third month. 7.EE2
x(125)(125)(125)
x(10025)(10025)(10025)
(1.25)³x
3(10025)x)
x(1+0.25)(1+0.25)(1+0.25)
(10025)
x(0.0025)(0.0025)(0.0025)
(1+0.0025)(x)(1+0.0025)(1+0.0025) 3(1.25)(x)

Answers

After the third year, the amount in his account would be -

A{3} = $(125x/64).

What is interest?

Interest is calculated as a percent of the principal.

Given is that Ling's savings account increases by {1/4}% every month from interest. He deposits {x} dollars into his account.

After the first year, the amount in his account would be -

A{1} = x + x/4 = (5x/4)

A{1} = $(5x/4)                                                ... Eq { 1 }

After the second year, the amount in his account would be -

A{2} = (5x/4) + (1/4)% of (5x/4)

A{2} = 5x/4 + 5x/16

A{2} = (1/4)(5x + 5x/4)

A{2} = (1/4)(25x/4)

A{2} = $(25x/16)                                         ... Eq { 2 }

After the third year, the amount in his account would be -

A{3} = (25x/16) + (1/4) of (25x/16)

A{3} = (25x/16) + (25x/64)

A{3} = (1/16)(25x + 25x/4)

A{3} = (1/16)(125x/4)

A{3} = $(125x/64)                                 ... Eq { 3 }

Therefore, after the third year, the amount in his account would be -

A{3} = $(125x/64).

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Prove: DFBE is a parallelogram

Answers

The proof of the parallelogram is given as follows:

ΔADE ≅ Δ CBF - GivenLIne ED Bisecs ∠ADC  - Given Line FB bisects ∠ABC  - GivenLine AE ≅ LIne FC - Similarity of TrianglesLIne DF ≅ Line EB  - Subtraction Property;∠ADE ≅ ∠CBF - properties of a parallelogram. (Opposite sides)

What are the properties of a parallelogram?

A parallelogram is a quadrilateral with the following properties:

Opposite sides are parallel: The opposite sides of a parallelogram are equal in length and parallel to each other.Opposite angles are equal: The opposite angles of a parallelogram are equal in measure.Consecutive angles are supplementary: The sum of the measures of the consecutive angles in a parallelogram is equal to 180 degrees.Diagonals bisect each other: The diagonals of a parallelogram bisect each other and are equal in length.The opposite sides of a parallelogram are equal in length.

These properties make parallelograms useful for studying transformations and in solving problems in geometry, physics, engineering, and other fields.

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7 times the sun of 6 and 5
can some one help me..​

Answers

Answer:

77

Step-by-step explanation:

here, you're multiplying 7 by the "sum of 6 and 5", which just means to add 6 and 5

so, you're multiplying 7 by 11

7*11=77

6 multiplied by 5 and you get 11. 11 multiplied by 7 you would get 77

The graphs of three functions are shown. Which accurately compares the functions on the graph?

1. All of the functions have a maximum
2. The square root and quadratic function share a minimum
3. The absolute value and quadratic function share a y-intercept
4. the absolute value and square root function share an x-intercept

Answers

The correct statement regarding the functions in this problem is given as follows:

4. the absolute value and square root function share an x-intercept

What is the x-intercept of a function?

The x-intercept of a function is given by the value of x at which the graph of the function crosses the x-axis, that is, when x = 0.

Both the square root function (yellow) and the absolute value function (red) cross the x-axis, hence the correct option is given by option 4.

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it takes 8.93 seconds for a train to travel 4 yards. How far does it take the train to travel 1 yard

Answers

Answer:

2.2325 seconds

Step-by-step explanation:

We know

It takes 8.93 seconds for a train to travel 4 yards.

How far does it take the train to travel 1 yard?

We take

8.93 divided by 4 = 2.2325 seconds

So, it takes the train 2.2325 seconds to travel 1 yard.

This season, the probability that the Yankees will win a game is 0.59 and the probability that the Yankees will score 5 or more runs in a game is 0.45. The probability that the Yankees lose and score fewer than 5 runs is 0.33. What is the probability that the Yankees would score fewer than 5 runs when they lose the game? Round your answer to the nearest thousandth.
Suggested: Needed in Decimal form (Regular outcome)

Answers

The probability that the Yankees scored fewer than 5 runs is 0.805.

What is probability?

It is the chance of an event occurring from a total number of outcomes.

The formula for probability is:

Probability = Number of required events / Total number of outcomes.

We have,

We will use conditional probability.

P(A/B) = P(A∩B) / P(B)

The probability that the Yankees won a game.
= 0.59

This means,

The probability that the Yankees lost a game.
P(A) = 1 - 0.59 = 0.41

The probability that the Yankees scored 5 or more runs.

= 0.45

P(B) = The probability that the Yankees scored fewer than 5 runs.

So,

The probability that the Yankees lose and score fewer than 5 runs.

P(A ∩ B) = 0.33

Now,

The probability that the Yankees scored fewer than 5 runs.

P(B/A) =P(A∩B) / P(A)

So,

= 0.33 / 0.41

= 0.8048

= 0.805

Thus,

The probability that the Yankees scored fewer than 5 runs is 0.805.

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Solve for x In the triangle. Round your answer to the nearest tenth.
47°
X =

Answers

Answer:

x=5.4

Step-by-step explanation:from TOAtan47°=x/5

to find x;

cross multiply

x=5tan47°

x=5×(1.07236871002)

x=(5.36184355012)

to the nearest tenth

x=5.4

What is the difference between percent error and percent different?

Answers

The difference between percent error and percent difference is that percent error is used to measure the accuracy of a predicted value compared to the actual value, while percent difference is used to compare two values to determine how much they differ from each other.



Percent error is calculated using the formula:
Percent error = (|actual value - predicted value| / actual value) x 100

Percent difference is calculated using the formula:
Percent difference = (|value 1 - value 2| / ((value 1 + value 2)/2)) x 100

In summary, percent error is used to measure the accuracy of a prediction or measurement, while percent difference is used to compare two values and determine how much they differ from each other.

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Please help its 10 points

Answers

For the given figure, the surface area of box is 436.95m².

What is Rectangle?

A plane shape, as opposed to a square, with four straight sides and four right angles, particularly one with uneven neighbouring sides.

The measurement of three-dimensional solids' surfaces the surfaces of three-dimensional solids, such as cubes, spheres, prisms, and pyramids, in

square or meter units, is known as Surface area.

Surface area of Square = side²

Surface area of Rectangle = Length x Breadth

Surface area of triangle = 1/2 × Base x Height

So,

Surface area of Square=

= 10² = 100m²

Surface area of Rectangle 1 =

= 11 x 9 = 99m²

Surface area of Rectangle 2 =

11 x 13.45 = 147.95m²

Surface area of Triangle =

= 1/2 x 10 x 9 = 45m²

So, Surface area of box = Surface area of Square + Surface area of

Rectangle 1+ Surface area of Rectangle 2 + Surface area of Triangle + Surface area of Triangle

= 100 + 99 + 147.95 + 45+  45

= 436.95m²

Therefore, Surface area of the box is 436.95m².

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How do you calculate interior painting cost?

Answers

The interior painting cost is calculated according to the cost of the paint and the area that to be painted.

Determine where there are carpets in your house. Increase this by four times. For example, multiply 500 square feet of carpet by four to get 20000 square feet. Find out the current rate per square foot that your painter charges. For instance, depending on the scenario, painters may charge anywhere between Rs 26 and Rs 30 per square foot. Consequently, your expense would be 27 x 2000, or Rs 54,000. This figure is on the high side. After taking measurements, the painter would provide you with a final statement outlining the specific amount of work performed. This is how interior painting cost is calculated.

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The following points represent a relation where x represents the independent variable and y represents the dependent variable.


Does the relation represent a function? Explain.

Yes, because for each output there is exactly one input
Yes, because for each input there is exactly one output
No, because for each output there is not exactly one input
No, because for each input there is not exactly one output

Answers

Answer:

No, because for each input there is not exactly one output

Step-by-step explanation:

Each input, x-coordinate, must have one and only one output (y-coordinate) to be a function.

Since 3/4 is used as an x-coordinate twice, the input 3/4 has two different outputs, -2 and -1/2. That means this relation is not a function.

Answer: No, because for each input there is not exactly one output

Answer: is A

Step-by-step explanation:

2. Find the length of the hypotenuse.
45°
3√2

Answers

The triangle is an isosceles right-angle triangle. Then the hypotenuse of the triangle will be 3 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The measure of one angle of right-angle is 45°. Then the right triangle is an isosceles right-angle triangle.

Then the hypotenuse is given by the sine of angle 45°. Then the equation is given as,

sin 45° = 3√2 / H

1/√2 = 3√2 / H

H = 3√2 x (1 / √2)

H = 3 units

The triangle is an isosceles right-angle triangle. Then the hypotenuse of the triangle will be 3 units.

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two similar solids have base areas of 47cm2 (smaller solid) and 199cm2 (bigger solid) the smaller solid is 350cm3 volume
calculate volume of larger solid

Answers


The volume of the larger solid can be calculated by multiplying the base area of the larger solid by the ratio of the two volumes. In this case, the ratio is 350cm3/47cm2 = 7.45. To calculate the volume of the larger solid, simply multiply 199cm2 by 7.45, which gives us a volume of 1483.55cm3.

How to calculate coefficient of variation?

Answers

Answer:

Step-by-step explanation:

The coefficient of variation (CV) is a measure of the relative variability of a set of data. It is calculated as the ratio of the standard deviation to the mean, expressed as a percentage. The formula for calculating the CV is as follows:

CV = (Standard Deviation / Mean) * 100%

Here's how to calculate the CV step by step:

Calculate the mean: To find the mean, add up all the data points and divide by the number of data points. This will give you the average value of the data set.

Calculate the standard deviation: The standard deviation is a measure of the variability of a set of data. To calculate it, subtract each data point from the mean and square the result. Then add up the squared deviations and divide by the number of data points minus one. Finally, take the square root of the result to obtain the standard deviation.

Calculate the CV: Finally, divide the standard deviation by the mean and multiply by 100% to obtain the CV.

The CV is a useful measure when comparing data sets with different units of measurement or when comparing the variability of data sets with different means. It gives an indication of the degree of variation in the data set relative to the mean, with higher CV values indicating a higher degree of variability.

It is important to note that the CV should not be used to compare data sets with very different means, as it can be misleading in such cases. In those cases, it is better to use the standard deviation or other measures of variability.

a tent that usually sells for $220 is on sale for 15% off what is the sale price

Answers

Answer:

Step-by-step explanation:

$220.00x .15 = $187.00

The scale on a map is 5 centimeters = 75 kilometers. Two lakes on the map are located 8.1 cm apart. What is the actual distance between the two lakes?

Answers

We know that 5 centimeters on the map corresponds to 75 kilometers in real life. Therefore, we can set up a proportion to find out how many kilometers 1 centimeter on the map corresponds to:

5 cm / 75 km = 1 cm / x km

Cross-multiplying, we get:

5x = 75

Dividing both sides by 5, we get:

x = 15

So, 1 centimeter on the map corresponds to 15 kilometers in real life.

Now, we can use this information to find the actual distance between the two lakes. We know that they are located 8.1 cm apart on the map, so:

8.1 cm * 15 km/cm = 121.5 km

Therefore, the actual distance between the two lakes is 121.5 kilometers.

Answer:

If 5 centimeters on the map represent 75 kilometers in the real world, then we can use proportion to find the actual distance between the two lakes.

Let x be the actual distance between the two lakes in kilometers. Then we can set up the following proportion:

5 cm / 75 km = 8.1 cm / x km

To solve for x, we can cross-multiply:

5 cm * x km = 75 km * 8.1 cm

Simplifying:

5x = 607.5

x = 121.5 km

Therefore, the actual distance between the two lakes is 121.5 kilometers.

Ms. Jancsi bought a new package of border decoration to put around the bulletin board in her classroom. The package contains 300 inches of border. The dimension of rectangle bulletin board are 8 feet b 3 feet. If she puts the board around all four sides of the bulletin board, how much leftover bulletin material will she have

Answers

Answer:

36in

Step-by-step explanation:

1ft = 12in

8ft = 96in 3ft = 36in

96*2 + 36*2 = 192 + 72 =264in

300-264=36

I need Help Quick!!!

Answers

Answer:

150-200

Step-by-step explanation:

You are going to use an incline plane to lift a heavy object to the top of a shelving unit with a height of 7 ft. The base of the incline plane is 11 ft from the shelving unit. What is the length of the incline​ plane?

Answers

Answer:

We can use the Pythagorean theorem to solve this problem. Let's call the length of the incline plane "L". We know that the height of the shelving unit is 7 ft and the base of the incline plane is 11 ft. The hypotenuse of the right triangle formed by the incline plane, the floor, and the shelving unit will be the length of the incline plane. Using the Pythagorean theorem:

L^2 = 11^2 + 7^2

L^2 = 121 + 49

L^2 = 170

L = sqrt(170)

So the length of the incline plane is approximately 13.04 feet.

The diagram shows a garden in the shape of a rectangle.
4 + 3x
The perimeter of the garden is 32 metres.
Work out the value of x
x+6

Answers

The dimensions of the rectangular garden are 8.5 meters and 7.5 meters.

What is Perimeter?

Perimeter of a straight sided figures or objects is the total length of it's boundary.

The diagram is given below.

Given,

Perimeter of a rectangle = 2 (l + w), where l is the length and width.

Length of the rectangle = 4 + 3x

Width of rectangle = x + 6

Perimeter = 32 meters

Substituting,

2 (l + w) = 32

2(4 + 3x + x + 6) = 32

2(4x + 10) = 32

4x + 10 = 16

4x = 6

x = 6 / 4 = 3/2 = 1.5

Length = 4 + 3x = 8.5 meters

Width = x + 6 = 7.5 meters

Hence the length and width of the rectangle are 8.5 meters and 7.5 meters respectively.

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values showing on the dice.
(a) How many sample points are possible? (Hint: use the counting rule for multiple-step experiments.)
(b) List the sample points.

Answers

a) For a single roll of a standard six-sided dice, there are 6 possible outcomes.

b) Sample points for rolling a dice twice are:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

a) If we want to find the number of sample points for multiple rolls of a dice, we use the counting rule for multiple-step experiments, which states that if an experiment consists of k steps and there are n1 possible outcomes for the first step, n2 possible outcomes for the second step, and so on, then the total number of possible outcomes for the experiment is:

n1 x n2 x ... x nk

For example, if we roll a dice twice, then there are 6 possible outcomes for the first roll and 6 possible outcomes for the second roll. Therefore, the total number of possible outcomes for rolling a dice twice is:

6 x 6 = 36

b) Here are the sample points for a single roll of a standard six-sided dice:

1, 2, 3, 4, 5, 6

Here are the sample points for rolling a dice twice:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

Each sample point consists of two values, representing the outcomes of the first and second rolls, respectively. The sample points are written in parentheses and separated by commas.

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Other Questions
A doctor orders A/C pressure control for a 50 kg postoperative female patient. Which of the following settings would you choose for this patient?A. pressure limit/PIP = 30 cm H2O; rate = 12/min; inspiratory time = 2 secondsB. pressure limit/PIP = 40 cm H2O; rate = 20/min; inspiratory time = 1 secondC. pressure limit/PIP = 25 cm H2O; rate = 15/min; inspiratory time = 1 secondD. pressure limit/PIP = 30 cm H2O; rate = 30/min; inspiratory time = 1 second crystal charm company makes handcrafted silver charms that attach to jewelry such as a necklace or bracelet. each charm is adorned with two crystals of various colors. standard costs follow: standard quantity standard price (rate) standard unit cost silver 0.25 ounce $ 20.00 per ounce $ 5.00 crystals 2 $ 0.25 crystal 0.50 direct labor 1.5 hours $ 15.00 per hours 22.50 during the month of january, crystal charm made 1,800 charms. the company used 420 ounces of silver (total cost of $9,240) and 3,650 crystals (total cost of $803), and paid for 2,880 actual direct labor hours (cost of $42,480).Required:1. Calculate Crystal Charms direct materials variances for silver and crystals for the month of January.2. Calculate Crystal Charms direct labor variances for the month of January. How do we prove by contrapositive that if n is an integer and n^3+5 is odd, then n is even? Outliers are points that What aspects of Sojourner Truth's argument do you find most compelling and why? Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport. The mean arrival rate is 6 passengers per minute.What is the probability of no arrivals in a 1-minute period? If required, round your answer to six decimal places.0.002479What is the probability of 3 or fewer arrivals in a 1-minute period? If required, round your answer to six decimal places.0.1512What is the probability of no arrivals in a 12-second period? If required, round your answer to four decimal places.0.1353What is the probability of at least 1 arrival in a 12-second period? If required, round your answer to four decimal places. Select all the following situations that are similar to Copernicus's explanation for retrograde motion.A runner on an inner track lapping a slower runner on an outer track.A fire truck overtaking and passing other vehicles on the road. When a boxer is moving away from a punch, the force experienced is reduced because . 6. The velocity of a cruise ship is equal tothe square root of the rate of fuelconsumption minus 3 units.Write the velocity function of a cruise shipas a function of the fuel consumption andgraph the function. 37. The profit P of a small business (in thousandsof dollars) since it was founded can beby the function below, where tisthe years since 1990. Use the RemainderTheorem to find the company's profit in 2017.modeledP(t) = 0.5t 3t +t +25 Given the parabola f(x)=-(x-8)^2+5, describe three transformations which would transform the graph of y=x^2 into the graph of f(x). Give both the transformations and the order. T/F perception of color is determined by the wavelength of light that an object reflects. sickle cell anemia is an autosomal recessive disorder. if each parent carries one sickle cell allele, what are the chances that their child will have sickle cell anemia? You deposit $1000 in a savings account that earns 5% annual interest compounded yearly. (a) Write an exponential equation to determine when the balance of the account will be $1500.(b) Solve the equation. What colorabsorbs alllight?A. ultravioletB. infraredC. blackD. white If there are roughly 4500 bacterial in a culture, and the number of bacteria doubles each hour, the number N of bacteria after t hours can be found using the formula N=4500(2^t) . About how long will it take the culture to grow to 80,000 bacteria? 4. What is the difference between "factually correct information" and "the truth"? Consider the following code segment: ArrayList list = new ArrayList0; list.add(5): list.add(10): list.add(15); list.add(20): list.add(25); int counter = 0; while(counter < list.size()) counter++; list.set(counter, list.get(counter)+5); System.out.println(list.toString(): What is printed as a result of this code segment? [10, 15, 20, 25, 301 [5, 15, 20, 25, 301 [1,2,3,4,5) [5, 10, 15, 20, 301 An IndexOutofBoundsException occurs. The following method is a search method intended to return the index at which a String value occurs within an ArrayList public int search(ArrayList list, String target) // Line 1 { int counter = 0; while(counter < list.size() //Line 4 { if(list.get(counter).equals(target)) return list.get(counter); //Line 8 counter++; //Line 10 ) return -1; //Line 12 } However, there is currently an error preventing the method to work as intended. Which of the following Lines needs to be modified in order for the method to work as intended? Line 1 - The method should be returning a String value, not an int. Line 4 - The loop should go to < list.size() - 1 so as to avoid an IndexOutofBoundsException. Line 8 - The return should be the counter, not list.get(counter). Line 10 - As written, the counter will skip every other value. Line 12 - The return value should be a String, not an int. Consider the following code segment: ArrayList scales = new ArrayList(: scales.add("DO"); scales.add("RE"); scales.add("Mi"); scales.add("FA"): scales.add("SO"); String swap = scales.get(2): scales.remove(2): String set = scales.remove(scales.size(-1): scales.add(scales.get(o)): scales.set(o set): scales.add(scales.size()/2, swap): Which of the following represents the value of scales after the code has been executed? [SO, RE, FA, DO] [SO, RE, MI, FA, DO] [SO, RE, MI, DO] [FA, RE, MI, DO] [FA. SO, RE, MI, DO] Consider the following correct implementation of the insertion sort algorithm: public static int[] insertion Sort(int[] arr) { for (int i = 1; i < arr.length; i++) int curNumber = arr[i]: int curindex = 1-1: while ( curlndex >= 0 && arr(curlndex] > curNumber) arr curindex+1] = arr[curindex]; curlndex:// Line 13 ) arr[curIndex + 1] = curNumber: } return arr; 1 The following declaration and method call are made in another method in the same class as insertionSort: int[] nums = (6,5, 4, 3, 2, 1); list = insertionSort(nums); How many times is the statement on Line 13 executed as a result of the call to insertion Sort? 5 30 15 16 6 where did the battle of mulhouse tae place What is the current APA edition 2022?