Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the
rounded values to calculate the next value. Round your final answer to the nearest tenth.

A. 57.9
B. 69.4
C. 61.1
D. 36.9

Answer:

\( \frac{596}{125} \)

should be it

The slant height of a cone that has a lateral area of 320π cm² and diameter of 20 cm is 32 cm.

The lateral area of a cone can be described as follows:

where

r = radius

l = slant height

Therefore,

r = 20 / 2 = 10 cm

l = ?

lateral area = 320π cm²

320π = π × 10 × l

320π = 10πl

divide both sides by 10π

l = 320π / 10π

l = 32 cm

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Part a:  What quantity order size would minimize the total annual inventory cost? Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying Cost At minimum Total Annual Inventory Cost, the formula for the Economic Order Quantity (EOQ) is used. EOQ formula is given below: EOQ = sqrt((2DS)/H)Where, D = Annual DemandS = Ordering cost

The company should place an order for 168 boxes at a time in order to minimize the total annual inventory cost.Part b: Determine the minimum total annual inventory cost.Using the EOQ, the company can calculate the minimum total annual inventory cost. The Total Annual Inventory Cost formula is:Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying CostAnnual Ordering Cost = (D/EOQ) × S = (16,800/168) × $60 = $6,000Annual Carrying Cost = (EOQ/2) × H = (168/2) × $30 = $2,520Total Annual Inventory Cost = $6,000 + $2,520 = $8,520Therefore, the minimum Total Annual Inventory Cost would be $8,520.Part c: Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes)

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In this particular data set, 10 is the only value that occurs more than once, so it is the only mode

The mode is the value that occurs most frequently in a data set. In the given data set {10, 30, 10, 36, 26, 22}, we can see that the value 10 occurs twice, and all other values occur only once. Therefore, the mode of the data set is 10, since it occurs more frequently than any other value in the set.

Note that a data set can have multiple modes if two or more values occur with the same highest frequency. However, in this particular data set, 10 is the only value that occurs more than once, so it is the only mode.

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The time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom cannot be determined without additional information.

To calculate the time taken, we need to know the flow rate or discharge rate of the water from the tank. This information is not provided in the question. The time taken to drain the tank depends on factors such as the diameter of the outlet pipe, the pressure difference, and any restrictions or obstructions in the flow path.

If we assume a known discharge rate, we can use the principles of fluid mechanics to calculate the time. The volume of water that needs to be drained is the difference in the volume of water between 3 meters and 0.5 meters above the bottom of the tank. The flow rate can be determined using the pipe diameter and other relevant factors. Dividing the volume by the flow rate will give us the time taken.

However, since the discharge rate is not given, we cannot perform the calculation and determine the time taken accurately.

Without knowing the discharge rate or additional information about the flow characteristics, it is not possible to calculate the time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom.

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By using  the sum or difference formula of cosine to solve cos(525°) we get cos(525°) = -0.465

The formula to find the value of cos(A ± B) is given as,

cos(A + B) = cosA cosB − sinA sinBcos(A − B) = cosA cosB + sinA sinB

Here, A = 450° and B = 75°

We can write 525° as the sum of 450° and 75°.

Therefore,cos(525°) = cos(450° + 75°)

Now, we can apply the formula for cos(A + B) and solve it.

cos(A + B) = cosA cosB − sinA sinBcos(450° + 75°) = cos450° cos75° − sin450° sin75°= 0.707 × 0.259 − 0.707 × 0.966= -0.465

Substituting the values in the above equation, we get

cos(525°) = 0.707 × 0.259 − 0.707 × 0.966= -0.465

Thus, cos(525°) = -0.465.

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Answer:

\(15^{3}\)

Step-by-step explanation:

\(15 * 15 *15 \\15^{3}\)

The area of a parallelogram when the dimensions are a base of 440 miles and a height of 120 miles is 52800 miles²

It should be noted that the area of a parallelogram is calculated by multiplying the base by the height.

The dimensions are a base of 440 miles and a height of 120 miles.

The area of the parallelogram will be:

= Base × Height

= 440 × 120

= 52800 miles²

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The joint probability of a and b upto 2 decimal places is 0.12

The conditional probability P(B/A)  arises only in the case of dependent events. It gives the conditional probability of B given that A has occurred.

p(a) = 0. 40 and p(b | a) = 0. 30.

P(B/A) = P(A∩B) / P(A)

0.30 = P(A∩B) / 0.40

P(A∩B) = 0.30 x 0.40

P(A∩B) = 0.12

Therefore, the joint probability of a and b upto 2 decimal places is 0.12

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Answer:

get smart

Step-by-step explanation:

Answer:

looks about right not 100% sure

Step-by-step explanation:

Step-by-step explanation:

this is just a simplified situation. normally people have more deductions from their salary than just taxes.

but anyway,

100% = $52,000

1% = 100%/100 = 52000/100 = $520

20% = 20×1% = 20 × 520 = $10,400

so, she pays $10,400 taxes.

and that leaves her from her salary

52000 - 10400 = $41,600

as net pay.

FYI - to calculate the remaining amount, we could have also done the following :

20% get deducted, so, 80% remain.

80% = 80×1% = 80 × 52000/100 = 52000 × 80/100 =

= 52000 × 0.80 = $41,600

The type of transformation that maps triangle X onto triangle Y are:

A transformation in the field of mathematics denotes an action or procedure that alters the form, location, or alignment of an entity or a mathematical statement.

Various mathematical structures including points, lines, curves, shapes, functions, and equations can be subjected to transformations. Frequently occurring transformations consist of movements, turns, mirror images, enlargements, and various combinations. Geometry, linear algebra, calculus, and other mathematics fields rely heavily on transformations.

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The diagrams and the types of transformation they represent are as follows:

A. Rotation

B. Enlargement

C. Rotation

D. Rotation

E. Translation

F. Reflection

The enlargement of a shape happens when the shape's size is increased. Reflection occurs when the shape is mirror F.

Also, translation is another occurrence in shapes that results in the imitation of the shape. Option E is an example of translation. The shape remains the same in this case.

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When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

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Answer: The point estimate for this population proportion is 0.2

Step-by-step explanation:

The point estimate for this population proportion is also referred to as the sample proportion. This is also known as the probability of success, p. The formula for determining p is expressed as

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 40

p = 40/200 = 0.2

To find the cost per ounce for the 40 oz jar, divide the price by the number of ounces: $5.25/40 oz = $0.13 per oz.

To find the cost per ounce for the 15 oz jar, divide the price by the number of ounces: $2.10/15 oz = $0.14 per oz.

Therefore, the 40 oz jar is the better deal because it has a lower cost per ounce.

Answer:

Soccer you use the lease amount of balls and in tennis you use the most

Answer:

112 1/2

Step-by-step explanation:

9x12 = 108

108 + 4 1/2 = 112 1/2

Answer:

1905

Step-by-step explanation:

Based on the given data, it seems that both the polysilicon doping level and anneal temperature can affect the base current.

To visually interpret the data, we can create a scatter plot with the polysilicon doping level on the x-axis and the base current on the y-axis, with different colors or symbols representing the different anneal temperatures. We can also create a similar plot with the anneal temperature on the x-axis and the base current on the y-axis, with different colors or symbols representing the different polysilicon doping levels.

To analyze the model, we can examine the residuals to see if they are randomly distributed around zero, indicating that the model is a good fit for the data. If the residuals show a pattern, it may suggest that the model is not a good fit.

Assuming a linear model, we can estimate the parameters using regression analysis. The model could be of the form:

Base current = β0 + β1(doping level) + β2(anneal temperature) + ε

where β0 is the intercept, β1 is the coefficient for doping level, β2 is the coefficient for anneal temperature, and ε is the error term.

Once we have estimated the parameters, we can plot the response surface to see how the base current changes as a function of both the doping level and annealing temperature. This will give us a better understanding of the relationship between these variables and the response variable.

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To decode the cryptogram, we need to multiply the matrix A by the column vector [3, 2, 6] using matrix multiplication.

Each entry in the resulting vector corresponds to a letter in the decoded message.

Let's perform the matrix multiplication:

A =

[1 1 3]

[1 1 4]

Column vector: [3, 2, 6]

A * [3, 2, 6] = [24, 24, 77, 73, 57, 176, 46, 33, 104, 74, 56, 188, 29, 21, 63, 32, 27, 86, 85, 63, 203, 68, 48, 144, 74, 51, 153, 90, 67, 213, 37, 25, 76, 60, 48, 145, 94, 69, 207, 72, 54, 175, 30, 25, 77, 33, 28, 84]

The resulting vector represents the ASCII values of the characters in the decoded message. Converting these ASCII values back to their corresponding letters, we obtain the decoded message:

"SEMPTEMBER THE ELEVENTH WILL ALWAYS REMEMBER"

Please note that the decoded message may contain additional spaces or punctuation marks that are not present in the original matrix representation.

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Answer:

(3,15)

rule 1 : x=3 , 3×5= 15

rule 2 :12+3 = 15

so no.B is the answer

Answer:

sum of all angles =180

15° + 25° +(39+x) =180°

40° + 39 +x = 180

79° +x =180

x = 180 - 79

x. = 101

complete angel = 39 +x

= 39 + 101

= 140

The area of the region enclosed by the curve r = 9cos(3θ) is (27/2)π.

What is integration?

In mathematics, and notably in calculus, integration is a fundamental notion. It is a mathematical process that seeks to determine a function's integral. The accumulation or total of all infinitesimally small changes in a quantity is represented by the integral.

To find the area of the region enclosed by the curve r = 9cos(3θ), we can set up a double integral in polar coordinates.

In polar coordinates, the area element is given by dA = r dr dθ. To determine the limits of integration, we need to find the values of θ where the curve intersects itself and encloses a region.

The polar curve r = 9cos(3θ) completes one loop for every 2π/3 radians, so we can integrate over the range 0 ≤ θ ≤ 2π/3. The corresponding limits for r can be determined by setting r = 0 and solving for θ.

At r = 0, we have:

0 = 9cos(3θ)

cos(3θ) = 0

The equation cos(3θ) = 0 has solutions at θ = π/6, π/2, 5π/6. These values divide the interval [0, 2π/3] into three subintervals.

Now we can set up the double integral:

Area = ∬R dA

Using polar coordinates, we have:

dA = r dr dθ

The limits of integration are:

0 ≤ r ≤ 9cos(3θ)

0 ≤ θ ≤ 2π/3

Thus, the double integral becomes:

Area = ∫[0 to 2π/3] ∫[0 to 9cos(3θ)] r dr dθ

Now we can evaluate this double integral:

Area = ∫[0 to 2π/3] (1/2)r² ∣[0 to 9cos(3θ)] dθ

Area = (1/2) ∫[0 to 2π/3] (81cos²(3θ)) dθ

Using the trigonometric identity cos²(3θ) = (1 + cos(6θ))/2, we can simplify further:

Area = (1/2) ∫[0 to 2π/3] (81/2)(1 + cos(6θ)) dθ

Area = (81/4) ∫[0 to 2π/3] (1 + cos(6θ)) dθ

Now we can integrate term by term:

Area = (81/4) [(θ + (1/6)sin(6θ)) ∣[0 to 2π/3]]

Area = (81/4) [(2π/3 + (1/6)sin(4π) - (1/6)sin(0))]

Simplifying further:

Area = (81/4) [(2π/3 + 0 - 0)]

Area = (81/4) (2π/3)

Area = (27/2)π

Therefore, the area of the region enclosed by the curve r = 9cos(3θ) is (27/2)π.

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Answer:

729

Step-by-step explanation:

x=

9^3=729

729×(9/9^6)

9/9=1

1^6=1

Therfore, 729×1=729

The total mass of the plate is 125/2.

The center of mass is located at (5/2, 5/2).

To find the total mass, we need to integrate the density function over the quarter-disk:

Therefore, the total mass of the plate is 125/2.

To find the center of mass, we need to find the first moments with respect to the x- and y-axes:

Mx = ∬R xp(x,y) dA

My = ∬R yp(x,y) dA

Therefore, the center of mass is located at (Mx/M, My/M) = (5/2, 5/2), which is the point (2.5, 2.5) in Cartesian coordinates.

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1) Estimate value of the product of 2/3 and 0.55 is, 2/3.

2) The fraction part is, 55 / 100

3) The product of the two numbers is, 11/30

We have to given that,

Estimate the product of 2/3 and 0.55.

And, Convert the decimal 0.55 to a fraction.

And, The product of the two numbers.

Now,

Estimate the product of 2/3 and 0.55,

So, we can round 0.55 to the nearest whole number, which is 1.

Then, multiply 2/3 by 1 to get an estimate of the product.

so, The correct answer is 2/3.

Now, we can convert the decimal 0.55 to a fraction,

= 0.55

= 55/100

= 11/20

Thus,  The correct answer is, 55/100.

And,  the product of 2/3 and 0.55,

= 2/3 x 55/100

= 110/300

= 11/30.

Hence, The correct answer is, 110/300 or 11/30

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Answer:

-4.29

Step-by-step explanation:

The computation of the z score is shown below:

data provided in the question

Average minutes = 16 minutes

Standard deviation = 1.4 minutes

Amount of advertising time = 8 minutes

Based on the above information, the z score is

\(= \frac{x-m}{\sigma} \\\\ = \frac{8-14}{\1.4} \\\\ = \frac{-6}{1.4}\)

= -4.29

Hence, the z score is -4.29. It is come by considering the above formula

Answer:

Option B: 7x + y - 4 feet

Step-by-step explanation:  I got it right on the test. Trust me

The total perimeter of the triangular fence using the perimeter of a triangle formula is:

7x + y - 4 feet.

The perimeter of a form is the whole length enclosing it. It is the measurement of the perimeter or outline of any two-dimensional geometric shape. Many figures may have the same perimeter depending on their sizes.

The length that the shape's perimeter covers is known as the perimeter. Hence, the perimeter's units will be the same as its length units.

Now perimeter of a triangle =

Sum of all the sides of the triangular region:

= 4x + 5 + y -7 + 3x - 2

= 7x + y -4

Therefore, perimeter of the fence = 7x + y -4 feet.

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