What is the value of x?
A. 19.8
B. 27.2
C. 12.9
D. 9.4
E. 11.6

The contribution margin ratio can be calculated by dividing the contribution margin by the sales. In this case, the contribution margin ratio for Kitsap Corporation is closest to a certain value.

The contribution margin ratio is calculated by dividing the contribution margin by the sales. In the given information, the contribution margin is stated as $72,000 and the sales as $180,000.

Contribution Margin Ratio = (Contribution Margin / Sales) * 100

Contribution Margin Ratio = ($72,000 / $180,000) * 100

Contribution Margin Ratio = 40%

Therefore, the contribution margin ratio for Kitsap Corporation is 40%. The contribution margin ratio represents the proportion of each dollar of sales that is available to cover fixed expenses and contribute to net operating income. In this case, for every dollar of sales, 40 cents contribute towards covering fixed expenses and generating net operating income. The higher the contribution margin ratio, the greater the portion of sales revenue available to cover fixed costs and generate profit.

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Answer:

No, because opposite sides aren't parallel.

Step-by-step explanation:I took the test

Rejecting the null thesis means that;

There's sufficient substantiation to support the claim that the mean is lesser than 32 long hauls per gallon.

For thesis testing, the first thing to define is the null and indispensable thesis.

In thesis testing, especially one comparing two sets of data, the null thesis plays the devil's advocate and generally takes the form of the contrary of the proposition to be tested. It generally contains the signs = , ≤ and ≥ depending on the directions of the test. It generally maintains that, with arbitrary chance responsible for the outgrowth or results of any experimental study/ thesis testing, its statement is true.

The indispensable thesis generally confirms the proposition being tested by the experimental setup. It generally contains the signs ≠,< and> depending on the directions of the test. It generally maintains that significant factors other than arbitrary chance, affect the outgrowth or results of the experimental study/ thesis testing and affect in its own statement.

For this question, Carter Motor Company claims that its new hydrofoil, the Libra, will total better than 32 long hauls per gallon in the megacity. And since this is talking distance covered per gallon of energy, better means that the new hydrofoil will total further than 32 long hauls per gallon.

So, the null thesis negating this claim would be that there is not significant substantiation to conclude that the normal of the new hydrofoil will be more or lesser than 32 long hauls per gallon.

That is, the new normal will be lower than or equal to 32 long hauls per hour.

And the indispensable thesis will confirm the claim that there's significant substantiation to conclude that the normal of the new hydrofoil will be more or lesser than 32 long hauls per gallon.

Mathematically,

The null thesis is represented as

H ₀ μ ≤ 32 long hauls per gallon

The indispensable thesis is given as

Hₐ μ> 32 long hauls per gallon

So, after the thesis test has been conducted, rejecting the null thesis means accepting the indispensable thesis and its statement that there's significant substantiation to conclude that the normal of the new hydrofoil will be more or lesser than 32 long hauls per gallon.

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Therefore, the truth value of Proposition 2A is False.

To determine the truth value of Proposition 2A, let's substitute the given truth values for the variables:

A = True

B = True

X = False

Y = False

Now let's evaluate the truth value of each component of the proposition:

(X ⊃ A) • (B ⊃ ∼ Y):

(False ⊃ True) • (True ⊃ ∼ False)

(True ⊃ True) • (True ⊃ True)

True • True

True

(B ∨ Y) • (A ⊃ X):

(True ∨ False) • (True ⊃ False)

True • False

False

[(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)]:

True ⊃ False

False

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3.85 radians is equal to 205.22 degrees.

To convert an angle from radians to degrees, you can use the conversion formula:

Degrees = Radians × (180/π)

Given that the angle is 3.85 radians, we can plug it into the formula:

Degrees = 3.85 × (180/π)

Now, let's calculate the value:

Degrees = 3.85 x 180/22/7

               = 3.58 x 180/3.14

                = 205.22 degrees.

Therefore, 3.85 radians is approximately equal to 205.22 degrees.

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Answer: 4(5+3) = 4(5) + 4(3) = 20 + 12 = 32

Step-by-step explanation:

Answer:

32=32 ?

Step-by-step explanation:

The value of the \(\lim_{x \to 0} f(x)\) and \(\lim_{x \to \frac{\pi }{3} } f(x)\) are 0 and 1.153 .

Limiting Value of a Function. The function's limit is the value of the function as its independent variable, such as x approaches a certain value called the limiting value. For simple equations, this is similar to finding out the value of y when x has a unique value.

Given that,

f(x) = \(4x cos x\)

First to calculate the limit value of the given function at x=0.

\(\lim_{x \to 0} f(x)\) = \(\lim_{x \to 0} 4x cosx\)

                   = 4×0×1                              (∵ cos0 = 1)

\(\lim_{x \to 0} f(x)\) = 0

Similarly,

\(\lim_{x \to \frac{\pi }{3} } f(x)\) = \(\lim_{x \to \frac{\pi }{3} } 4x cosx\)

                     =  4×\(\frac{\pi }{3}\)×cos\(\frac{\pi }{3}\)

                     =  4×\(\frac{\pi }{3}\)×\(\frac{1}{2}\)                          (∵cos60° = \(\frac{1}{2}\))

\(\lim_{x \to \frac{\pi }{3} } f(x)\)  = 1.153

Hence, The value of the \(\lim_{x \to 0} f(x)\) and \(\lim_{x \to \frac{\pi }{3} } f(x)\) are 0 and 1.153.

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The Mean likely to be a better measure of the center of the data set.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Since Median represents the middle value of the given data when arranged in a particular order.

The measure of central tendency is the value that best describes a data set.

The measure of central tendency could be the mean, mode, and median

Recall that the best measure of central tendency is the mean

In this exercise, since the data values and the frequency of occurence, the measure of center that best describes the set of data in the table is the mean (Average).

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To prove that the argument is valid using propositional logic, we can apply logical rules and deductions. Let's break down the argument step by step:

(A + B) ^ (C V -B) ^ (-D --> C) ^ A ^ D

We will represent the proposition as follows:

P: (A + B)

Q: (C V -B)

R: (-D --> C)

S: A

T: D

From the given premises, we can deduce the following:

P ^ Q (Conjunction Elimination)

P (Simplification)

Now, let's apply the rules of disjunction elimination:

P (S)

A + B (Simplification)

Next, let's apply the rule of disjunction introduction:

C V -B (S ^ Q)

Using disjunction elimination again, we have:

C (S ^ Q ^ R)

Finally, let's apply the rule of modus ponens:

-D (S ^ Q ^ R)

C (S ^ Q ^ R)

Since we have derived the conclusion C using valid logical rules and deductions, we can conclude that the argument is valid.

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Answer:

\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)

Step-by-step explanation:

Recall the MacLaurin series for sin(x)

\(\displaystyle \sin(x)=x-\frac{x^3}{3!}+\frac{x^5}{5!}-...\)

Substitute 3t²

\(\displaystyle \displaystyle \sin(3t^2)=3t^2-\frac{(3t^2)^3}{3!}+\frac{(3t^2)^5}{5!}-...=3t^2-\frac{3^3t^6}{3!}+\frac{3^5t^{10}}{5!}-...\)

Use FTC Part 1 to find degree 7 for F(x)

\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx\frac{3x^3}{3}-\frac{3^3x^7}{7\cdot3!}\\\\\int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)

Hopefully you remember to integrate each term and see how you get the solution!

Answer:

21

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

AD        AH

-----  =  ---------

AB         AH +y

3        9

---- = ------

10         9+y

Using cross products:

3(9+y) = 9*10

27+3y = 90

3y = 90-27

3y =63

y = 63/3

y = 21

Answer:

y = 21

Step-by-step explanation:

According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.

Therefore, according to the Side Splitter Theorem:

\(\boxed{\sf AD : DB = AH : HC}\)

From inspection of the given triangle, the lengths of the line segments are:

To find the value of y, substitute the given line segment lengths into the proportion and solve for y:

\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)

Therefore, the value of y is 21.

Responses interval : (-1, -32) for the absolute minimum; (0, 0) for the relative maximum; (2, -32) for the absolute minimum; (+, +) for the absolute maximum (or "no absolute maximum")

Detailed explanation:

Extremes will occur at the domain interval's ends and at turns when the first derivative is zero.

It is the derivative.

h'(t) = 24t^2 -48t = 24t (t -2)

The extremes will be at t=0 and t=2, when there are zeros.

By evaluating the function at the endpoints of the interval and at the turning points, we can identify relative and absolute extrema.

h(-1) = 8(-1) (-1)

²(-1-3) = -32\s h(0) = 8(0)(0-3) = 0\s h(2) = 8(2²)(2 -3) = -32\s h(∞) = 8(∞)

³ = ∞

At t=-1 and t=2, the absolute minimum is found to be -32. The greatest value is, which is located at time t. At t=0, the relative maximum is zero, or 0.

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Answer:

The discriminant of a quadratic equation is a parameter that is used to determine the nature of the roots of the equation. The discriminant can be determined by b2- 4ac. In this case, upon substitution, 25- 4*2*7 = -31 in which the roots are negative and iimaginary. 

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Step-by-step explanation:

Answer:

The discriminant is -31.

Step-by-step explanation:

The discriminant of an equation is b^2 - 4ac. In this case, a = 2, b = -5, and c = 7.

(-5)^2 - (4 * 2 * 7) = 25 - (8 * 7) = 25 - 56 = -31. Because the discriminant is negative, it is less than 0. That means that there is no real solution.

Hope this helps!

Here, we have to find the number of ways to order the numbers 1 through 50 so that 17 occurs first in the ordering or 11 occurs last in the ordering (or both). So, first, we find the total number of ways to arrange the numbers 1 through 50 which is 50!.

Then, we find the number of ways to arrange the numbers so that 17 occurs first which is 49! (since 17 is fixed in the first position). Similarly, we find the number of ways to arrange the numbers so that 11 occurs last which is 49! (since 11 is fixed in the last position).

Also, we need to subtract the number of ways to arrange the numbers so that both 17 occurs first and 11 occurs last (which is 48! as 17 and 11 are fixed in the first and last positions respectively).Thus, the number of ways to order the numbers 1 through 50 so that 17 occurs first in the ordering or 11 occurs last in the ordering (or both) is given by:49! + 49! - 48! = 2⋅49!−48!

We have 50 numbers that can be arranged in 50! ways. We need to find the number of ways that 17 occurs first in the ordering, 11 occurs last in the ordering or both. For 17 to be first, it is fixed in the first position and then the other 49 numbers can be arranged in 49! ways. For 11 to be last, it is fixed in the last position and then the other 49 numbers can be arranged in 49! ways.

But we need to subtract the number of ways that both 17 and 11 are fixed in the first and last positions respectively as they are counted twice. Therefore, the number of ways to order the numbers 1 through 50 so that 17 occurs first in the ordering or 11 occurs last in the ordering (or both) is:49! + 49! - 48! = 2⋅49!−48!Therefore, there are 2⋅49!−48! ways to order the numbers 1 through 50 so that 17 occurs first in the ordering or 11 occurs last in the ordering (or both).

Thus, we found that there are 2⋅49!−48! ways to order the numbers 1 through 50 so that 17 occurs first in the ordering or 11 occurs last in the ordering (or both).

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To yield the quotient, 6 has to get multiply by 3.

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.

For the given situation,

The expression is the quotient of 3 divided by 1/6,

⇒ \(\frac{3}{\frac{1}{6} }\)

⇒ \((3)(6)\)

Thus multiply 3 by 6 yields the quotient.

Hence we can conclude that to yield the quotient, 6 has to get multiply by 3.

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Answer:

A.

Step-by-step explanation:

36/12 = 3

3*2 = 6 cm

48/12 = 4

4*2 = 8 cm

Answer:Its 315

Step-by-step explanation:

Hope this helps!

a. the probability of rolling a 4 is 1/6. b.  the probability of rolling an even number is 3/6, which simplifies to 1/2. c. the correct answer is D. (a) 0.17, (b) 0.5, (c) 0.67.

To determine the probability of the given events when rolling a die:

(a) The number showing is a 4:

Since there is only one face with the number 4 on a standard six-sided die, the probability of rolling a 4 is 1/6.

(b) The number showing is an even number:

Out of the six faces on a die, there are three even numbers (2, 4, and 6). Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2.

(c) The number showing is 3 or greater:

Out of the six faces on a die, there are four numbers (3, 4, 5, and 6) that satisfy the condition of being 3 or greater. Hence, the probability of rolling a number 3 or greater is 4/6, which simplifies to 2/3.

Therefore, the correct answer is D. (a) 0.17, (b) 0.5, (c) 0.67.

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A water park water ride would pump 4,00,000 gallon of water in 100 minutes.

In this question, we have been given a water park water ride pump 8000 gallon of water every 2 minute.

So, the amount of water pumped in 1 minute would be,

8000/2 = 4000 gallon

We need to find the amount of water the ride would pump in 100 minute.

By unitary method the required amount would be,

A = 4000 * 100

A = 4,00,000 gallon

Therefore, the ride would pump 4,00,000 gallon of water.

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Cruz had 672.13 in his checking account and a check that he wrote to his landlord for 650.00 was just deposited. this will result in none of this mentioned. Thus the correct answer is "none of the answer".

What is the landlord?

A landlord is a  person who refers to the owner of the land providing his property for rent to people by taking some charges.

Spending more money than you have in your bank account results in overdraft fees.

A  service fee is a cost that is gathered to cover services associated with a good or service that is being purchased.

ATM fees refer to charges applicable to the use of services related to ATM cards.

Therefore, none of the above is appropriate.

Step-by-step explanation:

Answer: None of the above

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

By inspection, you can see that adding either 3x or 4x to y yields the same result of 7, meaning that x must be 0. If x is 0, y must be 7, meaning that this equation has only one solution. Hope this helps!

Answer:

1131 cubic inches.

Step-by-step explanation:

The front side of the figure contains a rectangle and a semicircle.

Area of rectangle is

\(A_1=length\times breadth\)

\(A_1=11\times 12\)

\(A_1=132\text{ in}^2\)

Radius of semicircle is

\(r=17-11=6\text{ in}\)

Area of semicircle is

\(A_2=\dfrac{1}{2}\pi r^2\)

\(A_2=\dfrac{1}{2}\pi (6)^2\)

\(A_2\approx 56.55\)

Area of front side is

\(A=A_1+A_2=132+56.55=188.55\text{ in}^2\)

Let front side is the base of prism and height is 6 in. So, volume of given figure is

\(V=\text{Base area}\times height\)

\(V=188.55\times 6\)

\(V=1131.3\)

\(V\approx 1131\text{ in}^3\)

Therefore, the required volume is 1131 cubic inches.

The given equation 6x+2y=13 is a linear equation in two variables. In this equation, x and y are variables while 6 and 2 are their respective coefficients, and 13 is a constant term. The equation can be represented as a straight line on a graph. The slope of this line is -3, and it intersects the y-axis at the point (0, 13/2).

In this equation, if we substitute x=0, then y=13/2, and if we substitute y=0, then x=13/6. These are the two points that the line passes through the x and y-axis.

A linear equation is a polynomial equation that is of the first degree, meaning the variables in the equation are not raised to any powers other than one. This equation is in the standard form where the variables are in the first degree. 6x + 2y = 13 is the form of the given linear equation. x and y are the two variables, and 6 and 2 are their respective coefficients. The equation can be represented as a straight line on a graph. The slope-intercept form of this equation is y = -3x + 13/2. The equation is also in standard form.

When x = 0, the equation becomes 2y = 13. This means that the point of intersection is (0, 13/2) when y = 0, the equation becomes 6x = 13, and the point of intersection is (13/6, 0). The slope of the line is -3. When x increases by 1, y decreases by 3.

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Answer:

Domain: x : {5, 10, 15, 20)

Range: y : {-3, -1, 1, 3}

Step-by-step explanation:

The domain is the x-coordinates.

The range is the coordinates.

In point (5, 1), the x-coordinate is 5 while the y-coordinate is 1.

^^Now using this, we can figure out the domain and range:

Domain: x : {5, 10, 15, 20)

Range: y : {1, 10, -3, -1}  ==> wait this isn't in order

We can fix the order:

Range: y : {-3, -1, 1, 3} ==> this is better

Domain: x : {5, 10, 15, 20)

Range: y : {-3, -1, 1, 3}

Answer:

The second option, B.

\((x| -3< x \leq 2)\)

Explanation:

Since the point on -3 is hollow, this means that -3 is not included in the equation. Therefore, -3 < x. Since the point on 2 is filled, this means that 2 is a valid number that is included in the equation. Therefore, \(x\leq 2\).

Answer:

17%of 23000

17/100×23000

1 yrs depreciation is 3910

then

after 4 years depreciation is 4×3910

=15640

the worth of after 4 yrs is 23000-15640

=Rs 7360

The limits for the middle 48% of contributions with a standard deviation of $103 are from $856.68 to $861.01

The given normal distribution can be shown by using the formula;

z = (x - μ) / σ

In the given question, the average charitable contribution itemized per income tax return in a certain state is $792 with a standard deviation of $103.

So, μ = $792

σ = $103

Let’s find the limits for the middle 48% of contributions by using the z-value.

We know that the total percentage in a standard normal distribution curve is 100% or 1.00.

If the percentage is divided into two equal halves, then the middle value is 0.5 or 50%.

Similarly, if the percentage is divided into four equal parts, then the middle two values are 0.25 and 0.75 or 25% and 75%.

The middle 48% of contributions mean the two middle values between 0.26 and 0.74.

We will find the z-values for 0.26 and 0.74, and then we will find the corresponding x-values.

To find the z-value, we can use the z-table or a calculator.

Using the normal distribution table, we get the z-value of 0.26 as 0.67 and the z-value of 0.74 as 0.65.

We can round them to 2 decimal places.

z = 0.67 and z = 0.65

Now, we can find the corresponding x-values by using the formula;

x = μ + (z × σ)

We have;

μ = $792

σ = $103

z = 0.67

For z = 0.67, the x-value is; x = μ + (z × σ)x = $792 + (0.67 × $103)x = $861.01

For z = 0.65, the x-value is;x = μ + (z × σ)x = $792 + (0.65 × $103)x = $856.68

Therefore, the limits for the middle 48% of contributions are from $856.68 to $861.01

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Answer:

1) x>-8

Step-by-step explanation:

love your pfp and user btw :>>

Given:-

Rosie collects magnets from every new place she visits. In the past few years, she has collected 27 magnets. This summer she collected more magnets while on her vacation.

To find which expressions below represent the number of magnets that Rosie has now.

Rosie already had 27 magnets and now she got extra magnets. Let the extra magnet be y. so we get,

So the required solution is,

Answer:

13. 5^7

14. 7^1000

15. 16^10000

25 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation: