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Answer:

20.91375

Step-by-step explanation:

Mean is basically the average

15+22+19+20+29+18+25+19.31= 167.31

167.31/8=20.91375

Answer:

Step-by-step explanation:

20

Answer:

its A pls dont delete answer

Step-by-step explanation:

The positive angle that is in the same location as -11π/4 is π/4 radians or 45°.15Π/4 radians.

We have to convert 15π/4 radians into degrees by using the formula.θ = (180°/π) * θθ = (180°/π) * 15π/4θ = 270°Thus, 15π/4 radians is equal to 270°. -11π/4.

To find a positive angle that is in the same location as -11π/4, we have to add 2π radians to it.

Let's first convert -11π/4 radians into degrees.-11π/4 radians * 180°/π = -495°We have to add 2π radians to it.2π radians * 180°/π = 360°-495° + 360° = -135°.

Now, we can find the positive angle that is in the same location as -11π/4 by adding 2π radians to it.-11π/4 + 2π = π/4.Thus, the positive angle that is in the same location as -11π/4 is π/4 radians or 45°.

To solve this question, we have used two different formulas. The first formula is to convert radians into degrees, which is given below:θ = (180°/π) * θWe have to multiply the given angle in radians with 180°/π to convert it into degrees.

We have used this formula to convert 15π/4 radians into degrees. We substituted the given value into the formula,θ = (180°/π) * 15π/4θ = 270°.

Thus, 15π/4 radians is equal to 270°.The second formula we have used is to find the positive angle in the same location as the given angle.

To find the positive angle, we have to add 2π radians to the given angle. Before adding 2π radians, we first converted the given angle -11π/4 into degrees by using the formula,-11π/4 radians * 180°/π = -495°.

After converting the given angle into degrees, we added 2π radians to it.2π radians * 180°/π = 360°-495° + 360° = -135°.

Now, we can find the positive angle that is in the same location as -11π/4 by adding 2π radians to it.-11π/4 + 2π = π/4.

Thus, the positive angle that is in the same location as -11π/4 is π/4 radians or 45°.

In conclusion, we can convert radians into degrees by multiplying it with 180°/π, and we can find the positive angle in the same location as the given angle by adding 2π radians to it.

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The graph of the inequality expression 10x+5y < -4 is attached

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

10x+5y-4

Express properly

So, we have

10x+5y < -4

Next, we plot the graph using a graphing tool

The graph is added as an attacment

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Answer: 3.5

Step-by-step explanation:

No, the plan will not work because tan B = 8/5; B ≈ 58°

There are three primary trigonometric ratios for a right angle triangle and they are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

To get angle B, we will make use of trigonometric ratios to get:

tan B = 8/5

tan B = 1.6

B = tan⁻¹1.6

B = 58°

From the ramp, we can see that the angle is greater than what Gael wants to build and as such we can say it will not work.

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Answer:

h

Step-by-step explanation:

Answer:

It’s option A, Choi’s option A

Step-by-step explanation:

Answer:

Factor 64h^3+216k^9

Step-by-step explanation:

The given expression is a sum of two terms:

[64h^3+216k^9

Notice that each term has a common factor. For the first term, the greatest common factor (GCF) is 64h^3, and for the second term, the GCF is 216k^9. So we can factor out these GCFs to get:

64h^3+216k^9 = 64h^3(1 + 3k^6)

This expression cannot be factored any further, so the final answer is:

64h^3+216k^9 = 64h^3(1 + 3k^6)

If you can, give me brainliest please!

The study described is a retrospective study.

A retrospective study, also known as a historical study, involves the collection and analysis of data from past events or behaviors. In this case, the study involves collecting and analyzing data on the different types of shoe designs by the designer Calvin Klein over the years from 1987 to 2014. The data has already been collected in the past, and the researcher is analyzing it to draw conclusions or make inferences about the shoe designs.

In contrast, a cross-sectional study involves the collection of data from a population at a specific point in time, while a prospective study (also known as a longitudinal study) involves the collection of data over a period of time to observe changes or trends in a population. An experiment involves the manipulation of one or more variables to observe their effect on a dependent variable, with the aim of establishing cause-and-effect relationships.

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The Munks saved $4444 by exercising the increase-in-payment option.

a) The first step is to compute the payment that would be made on a $175000 15-year loan at 6.25 percent compounded semi-annually over five years. Using the formula:

PMT = PV * r / (1 - (1 + r)^(-n))

Where PMT is the monthly payment, PV is the present value of the mortgage, r is the semi-annual interest rate, and n is the total number of periods in months.

PMT = 175000 * 0.03125 / (1 - (1 + 0.03125)^(-120))

= $1283.07

The Munks pay $1300 each month, which is rounded up to the nearest $100. At the end of five years, the mortgage balance will be $127105.28.
b) Over the remaining 10 years of the mortgage, the balance of $127105.28 will be amortized with payments of $1430 each month. The Munks pay an extra $130 per month, which is 10% of their new payment.

The additional $130 per month will be amortized by the end of the mortgage term.
c) Without the increase-in-payment option, the Munks would have paid $1283.07 per month for the entire 15-year term, for a total of $231151.20. With the increase-in-payment option, they paid $1300 per month for the first five years and $1430 per month for the remaining ten years, for a total of $235596.00.

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Answer:

5/6

Step-by-step explanation:

The slope of a line is the number being multiplied by x.

In triangle ABC, Length of DE = (a*x)/(b+c). We can use similarity of triangles  to to get the proportion between corresponding sides.

Similarity of triangles can help us to relate the lengths AB, DE, BE, and EC.

Now, since, DE =  (a*x)/(b + c) in terms of a, b and c(given).

Now, we can relate the corresponding sides of triangle ABC and ADE.

The denominator (b + c) is equal to the sum of the lengths BE and EC.

Therefore, to express x in terms of a, b, c when in triangle ABC, DE || AB, and AB = a, DE = x, BE = b and EC = c.

DE = (a*x)/(b + c).

This question uses similarity of triangles which is a geometric concept. It helps us to correspond two triangles with different shapes and sizes, and when two triangles are similar their ratios of lengths is proportional to each other.

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Answer:

-5

Step-by-step explanation:

Our first step is to distribute/expand in the brackets so we are able to isolate x-term.

\( \large{4 - 2x - 14 = 3x + 15}\)

I hope you still remember that when multiplying positive with negative, it becomes negative. Then we combine like terms - we isolate the 2x by adding 2x both sides and subtract both sides by 15.

\( \large{4 - 2x - 14 + 2x - 15 = 3x + 15 + 2x - 15} \\ \large{ - 25 = 5x}\)

Then to divide both sides by 5 so we can finally get the x-term isolated.

\( \large{ \frac{ - 25}{5} = \frac{5x}{5} \longrightarrow - 5 = x}\)

Dividing the negative by positive results in negative as well! Next step is optional, which is about checking the answer. To check the answer if it's right or not, we can do by substituting x = -5 in the equation and solve until these two outcomes may occur:

\( \large{4 - 2(x + 7) = 3(x + 5)}\)

From the given equation above, substitute the value of x which is -5 in the equation.

\( \large{4 - 2( - 5 + 7) = 3( - 5 + 5)}\)

Evalute/Simplify:

\( \large{4 - 2(2) = 3(0) \longrightarrow 4 - 4 = 0} \\ \large \boxed{0 = 0}\)

Since both sides are equal or same. Thus the solution to this equation is x = -5.

Answer

I hope this helps! If you have any doubts or questions, don't hestitate to ask in the comment! Good luck on your assignment and have a great day! :)

Step-by-step explanation:

270°/360° ×π×13²cm

=398.20cm²

the area of the sector with a radius of 13 units and a central angle of 270 degrees is approximately 398.25 square units.

To find the area of a sector, we use the formula:

Area of sector = (θ/360) * π * r²

Where:

θ is the central angle of the sector in degrees,

r is the radius of the sector.

In this case, the radius (r) is 13 units, and the central angle (θ) is 270 degrees.

Area of sector = (270/360) * π * 13²

Area of sector = (3/4) * π * 169

Area of sector = (3/4) * 169π

Area of sector ≈ 398.25 square units

So, the area of the sector with a radius of 13 units and a central angle of 270 degrees is approximately 398.25 square units.

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Answer: 22.5° F at 12 noon

Step-by-step explanation:

If it is already 12° F. at 5:00 am then there is only 7 hours to go till 12 noon. So if there is only 7 hours to go and it rises 1.5° F per hour, you would take 1.5 times 7 hours left and get that it will rise 10.5° F in that 7 hours and it is already 12° F so they will combine to make it 22.5° F at 12 noon.

Answer:

\(3\sqrt{5}\)

Step-by-step explanation:

Factor out a \(\sqrt{5}\) from the \(\sqrt{80}\), and you will get \(\sqrt{5} * \sqrt{16}\)

Then you get: \(4\sqrt{5}\), since the square root of 16 is just 4. Then we have this expression:

\(4\sqrt{5} -\sqrt{5}\), which gives us \(3\sqrt{5}\).

Hope this helps

The correct statements are:An activity relationship diagram reveals qualitative factors that may be crucial to the workstation placement decision.

Assembly line layouts rarely facilitate progressive assembly through the use of material handling systems or devices.

Most would consider it desirable for a department store to put the candy department next to the toy department.

The incorrect statements are:

Systemic layout planning is most appropriate when the numerical flow of items between workstations is not known. (Systematic layout planning is more appropriate in this case.)

Assembly lines are best suited for products with multiple parts produced in small volumes. (Assembly lines are typically suited for products with high volumes and repetitive processes.)

Interworkcenter flow charts involve a relationship chart showing the degree of importance of locating workstations near each other. (Interworkcenter flow charts typically show the physical flow of materials or information between workstations.)

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The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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Answer:

D

Step-by-step explanation:

The range of the function is all possible y-values of an function or an output.

Step-by-step explanation:

im not quite sure

but I believe it is 97

For a NaCl crystal has six slip systems,

A) The exact slip planes are \([\bar 1 1 0] \), \([0 \bar1 1] \), \([\bar 1 0 1] \), [ 1 1 0], [0 1 1] and [ 1 0 1] and slip direction are (110), (011), ( 101) , \(( \bar 1 1 0) \), \((0 \bar 11 ) \) and \(( \bar1 0 1) \) of te six systems.

B) The sketch of the slip plane and slip direction for each slip system is present in attached figure.

C) Slip systems (ii), (iii), (v) & (vi) are the suitable ones.

We have a NaCl crystals has slip on {110} < 110 > slip systems. Total number of possible systems = 6

The slip plane refers to the plane of maximum atomic density, and the slip direction is the closest folded direction in the slip plane.

A) For six possible systems, slip planes and slip directions are the following:

plane : \([\bar 1 1 0] \).

Plane : \([0 \bar1 1] \)

plane : \([\bar 1 0 1] \)

plane : [ 1 1 0]

plane : [0 1 1]

plane : [ 1 0 1]

B) Using the standard cubic representations, the slip plane and slip direction of each system is present in attached figure.

C) Shear is y stress would at assis ; suitable 21 be highest in the direction which either x axis and y axis parallel to system (ii), (iii), (v) & (vi) are the suitable ones. Hence, we resolved all parts.

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Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

The equation representing the given transformations is y = 3sin(x - 10°) + 3.

To create an equation in the form y = asin(x - d) + c given the transformations, we can start with the standard sine function and apply the given transformations step by step:

Vertical translation 1 unit up:

The standard sine function has a maximum value of 1 and a minimum value of -1.

To vertically translate it 1 unit up, we add 1 to the function.

This gives us a maximum value of 1 + 1 = 2 and a minimum value of -1 + 1 = 0.

Horizontal translation 10 degrees to the right:

The standard sine function completes one full period (i.e., goes from 0 to 2π) in 360 degrees.

To shift it 10 degrees to the right, we subtract 10 degrees from the angle inside the sine function.

This accounts for the horizontal translation.

Adjusting the amplitude:

To achieve a maximum value of 8, we need to adjust the amplitude of the function.

The amplitude represents the vertical stretch or compression of the graph.

In this case, the amplitude needs to be 8/2 = 4 since the original sine function has an amplitude of 1.

Putting it all together, the equation for the given transformations is:

y = 4sin(x - 10°) + 2

This equation represents a sine function that has been vertically translated 1 unit up, horizontally translated 10 degrees to the right, and has a maximum value of 8 and a minimum value of 2.

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x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

Andace needs to score at least 98 on her fifth exam to have an average of 90 or better for the five exams.

To find out what score Andace needs to get on the fifth exam, we can use the formula for the average (also known as the mean):

Average = (sum of all scores) / (number of scores)

We know that Andace needs an average of 90 or better for the five exams. Therefore, the sum of all five scores must be at least 450 (90 multiplied by 5).

The sum of Andace's first four scores is:

96 + 84 + 95 + 82 = 357

To get an average of 90 or better for the five exams, Andace needs to get a total of:

450 - 357 = 93

on her fifth exam.

Since she has already taken four exams and the maximum score she can get on her fifth exam is 100, we can subtract her first four scores from 93 to find out what she needs to score on her fifth exam:

93 - 96 - 84 - 95 - 82 = -164

Since it's not possible for Andace to score a negative number on her fifth exam, we can conclude that she needs to score at least 98 (93 - 5) to have an average of 90 or better for the five exams.

In conclusion, Andace needs to score at least 98 on her fifth exam to have an average of 90 or better for all five exams.


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Answer:

24 ft

Step-by-step explanation:

so, we don't know anything else about the triangle ?

ok, let's see.

the area of a triangle is (a side length) × (the height from that side to the opposite corner) / 2

At = 24 = side × height / 2

48 = side × height = 10 × height

height = 48/10 = 4.8 = 24/5

let's say that the height on our known side splits this side into 2 parts, p and q (p+q = 10).

we can calculate the triangle side on the right hand side of our know side by calling it a and using Pythagoras :

a² = height² + q² = (4.8)² + q² = 23.04 + q²

as all sides have to be even integers, a² has to be an even square number larger than 23.04.

and because p+q = 10, we know q must be smaller than 10, and therefore q² smaller than 100.

the only candidates for a² are therefore 36 and 64 (6² and 8²).

in a similar way this applies to the left hand triangle side b tool.

b² = height² + p² = 23.04 + p²

with the same restrictions and possible solutions as a².

we have the possibilities that a = b = 6 or 8, or a = 6 and b = 8 (or vice versa).

let's rule out a=b :

a=b wound also mean p=q=5

then

a² = 23.04 + 5² = 23.04 + 25 = 48.04, which is not an even square integer. therefore, this assumption is wrong.

so, the only possible solution is a = 6 and b = 8 (or vice versa, but it did not matter which is which, as we only need the perimeter, which would be the same either way).

proof :

36 = 23.04 + 12.96 = 23.04 + q²

=> q = 3.6 ft

64 = 23.04 + 40.96 = 23.04 + p²

=> p = 6.4 ft

p+q = 3.6 + 6.4 = 10 ft

perfect, it fits, this is the correct solution

so, the perimeter of the triangle is

10 + 6 + 8 = 24 ft

Answer:

It can be for example:  if you had to find out the area of a square, and the base was 5 and the height -1/3. To find the answer you would have to multiply these 2 values

Step-by-step explanation:

The number of vats to be used is 8

Given: Weight of material used per day = 196 pounds

Weight of each vat = 26 pounds

Cycle time for each vat = 2.5 hours

Inefficiency factor assigned by manager = 25%

Time available for each day = 8 hours

To calculate the number of vats to be used, we need to calculate the time required to transport the total material by the available vats.

So, the number of vats required = Total material weight / Weight of each vat

To calculate the total material weight transported in 8 hours, we need to calculate the time required to transport the weight of one vat.

Total time to transport one vat = Cycle time for each vat / Inefficiency factor

Time to transport one vat = 2.5 / 1.25

(25% inefficiency = 1 - 0.25 = 0.75 efficiency factor)

Time to transport one vat = 2 hours

Total number of vats required = Total material weight / Weight of each vat

Total number of vats required = 196 / 26 = 7.54 (approximately)

Therefore, the number of vats to be used is 8 (rounded up to the next whole number).

Answer: 8 vats will be used.

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The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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