jorgenson corporation has provided the following data for the first five months of the year: machine hours lubrication cost january 290 $ 1,520 february 355 $ 1,620 march 445 $ 1,745 april 340 $ 1,615 may 395 $ 1,725 using the least-squares regression method of analysis, the estimated variable lubrication cost per machine hour is closest to:

Answer:

Step-by-step explanation:

Using formula

Substitute values

Option A is correct

The difference in elevation in meters between the points X and Y is 360.

Why are there contour lines?

A contour line is a line drawn on a topographic map to represent a dip or elevation in the ground.

                  The vertical separation or difference in elevation between contour lines is referred to as a contour interval. Every fifth contour line is a set of bold or thicker lines known as an index contour.

Which 3 types of contour lines are there?

There are three different types of contour lines that you might find on a map: supplemental, index, and intermediate. Index lines are the thickest contour lines, and they are frequently numbered at a specific location along the line. You can see the elevation above sea level from this.

Point X is marked on the contour line of 1,600 m. Point Y is marked on the second contour line between the 1,200 m and 1,300 m contour lines, thus:

2 x 20 = 40

So we have 1,240 m. Having the elevations of the two points, we only need to take the lower value from the larger value:

1,600 - 1,240 = 360 m

So we get a result of 360 m of difference in elevation between the points X and Y.

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The regular price of the book bag was $38.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the regular price of the bag. After applying the coupon:

Price = x - 5

After the discount:

23.10 = (x - 5) -  30% of (x - 5)

23.10 = (x - 5) - (0.3x  - 1.5)

0.7x - 3.5 = 23.10

x = 38

The regular price of the book bag was $38.

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Answer:

6

Step-by-step explanation:

\(h \sqrt{28 } \\ \sqrt{28} = \sqrt{4 \times 7} \\ \sqrt{28} = \sqrt{4} \times \sqrt{7} \\ 2 \sqrt{7} \\ 8 \sqrt{7} - 2 \sqrt{7} = 6 \sqrt{7} \)

hope this helps :D have a good day

Answer:

I think 3,9, and 15

Step-by-step explanation:

Answer:

-0.7071.

Step-by-step explanation:

The value of function sin 315 is -1/2.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Sin 315 degrees can be found by using the unit circle.

The unit circle is a circle with the radius of one centered at the origin of a coordinate plane.

Every point on the unit circle is a point that is one unit away from the origin.

The unit circle is used to help find the exact values of the trigonometric functions at specific angles.

The angle 315 degrees is in the fourth quadrant of the unit circle, so the x-coordinate is negative and the y-coordinate is negative.

Using the x-coordinate, we can calculate the sine to be -1/2.

Hence, the value of function sin 315 is -1/2.

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The special quadrilateral formed by connecting the midpoints of a quadrilateral with vertices (5,3), (5,-1), (-1,3), and (-1,-1) is a square.

The midpoint of a line segment is determined using the midpoint formula, which states that the midpoint coordinates are equal to the average of the endpoints' coordinates. Using the midpoint formula, we may calculate the midpoints of each of the sides of the quadrilateral.

(5,3) and (5,-1): (5, (3+(-1))/2) = (5, 1)(5,-1) and (-1,-1): ((5-1)/2, (-1-1)/2) = (2, -1)(-1,-1) and (-1,3): ((-1-1)/2, (-1+3)/2) = (-1, 1)(-1,3) and (5,3): ((-1+5)/2, (3+3)/2) = (2, 3). Each of these four midpoints is equidistant from its adjacent midpoints. Since a square is a quadrilateral with all sides of the same length and all angles are 90 degrees, a square is formed by connecting these midpoints.

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Answer:

Ace of Diamonds, King of Hearts, Two of Spades ( hope this helps)

Answer:

-9. 125

Step-by-step explanation:

.

The time since the plants were originally introduced is 23.1 months, and there are no factors that are restricting their growth.

What is exponential function ?

An exponential function is one whose growth or decay depends on the magnitude of the independent variable. The value of its variable affects how the exponential function behaves.

An ecosystem is introduced to one kind of plant, and it swiftly starts to dominate.

After m months, a scientist counts the number of plants and creates the equation to represent the situation, which is provided as,

P(m) = 19.3 (1089)m

The scientist most recently counted 138 plants.

138 = 19.3 (1089)m

(1089)m = 7.15

Logging both sides of the equation,

Log (1.089) m = log 7.15

mlog (1.089)  =log (7.15)

m=(log 7.15)/(log1.089)

m= 23.1

As a result, 23.1 months have elapsed since the plants were first introduced, with no problems impeding their growth.

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The diversification merits strong consideration at single-business companies when:

1. It confronts strong bargaining power from both suppliers and customers.

2. Managers conclude the company has more resource weaknesses and competitive deficiencies than it has resource strengths and competitive assets.

3. It has achieved global leadership in its present industry and needs new market challenges to conquer.

4. Industry conditions take a turn for the worse and are expected to be long-lasting.

5. It encounters strong competition from rival companies and/or is currently losing money.

6. A "cash hog" type of business generates negative cash flows from internal operations and thus requires cash infusions from its corporate parent to report a profit.

7. It generates cash flows that are too small to fully fund its operations and growth, requiring periodic cash infusions by the corporate parent to provide additional working capital and finance new capital investment.

8. It is a business that is losing money and requires cash infusions from its corporate parent to continue operations.

9. It is a business that faces a liquidity crisis due to declining sales revenues and profits.

10. It is a business that has substantially more current liabilities than current assets.

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Answer:

2x² + x + 3

Step-by-step explanation:

2x² + x + 3

2x² + (5/2)x + 3

Answer:

75 dollars.

Step-by-step explanation:

Each person costs 25 dollars and p=3 we just put this into a equation.

25 × 3 = 75

C = 75

Answer: Look at the variables (letters) and plug them in

Step-by-step explanation: You plug in the variables into the problem, then you separate the other variable that you don't know from your whole number by bringing it to the other side. Then you can divide or whatever you have to do.

d. Expected life in years of the depreciable asset. The acceptable way to express the useful life of a depreciable asset is in terms of the expected life in years.

The useful life refers to the period of time over which the asset is expected to contribute to the revenue-generating activities of a business.

While options a, b, and c may be relevant factors for certain specific assets (such as units produced, hours of productivity, or miles driven), they do not encompass the overall concept of useful life. Useful life is a broader measure that takes into account the anticipated duration of productive use, regardless of specific output or activity metrics.

Expressing the useful life in years provides a common standard for comparison and allows for consistency in depreciation calculations and financial reporting. It is a practical and widely accepted approach to estimating the lifespan of a depreciable asset.

It is worth noting that the estimated useful life in years may vary depending on the nature of the asset and industry practices. It is typically determined based on factors such as technological advancements, physical wear and tear, economic obsolescence, and the intended purpose of the asset.

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If we sample the function x(t) = cos(75t) at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is equal to half of the highest frequency component in the continuous signal.

In this case, the highest frequency component in x(t) is 75 Hz, as determined by the coefficient of t in the cosine function. According to the Nyquist-Shannon sampling theorem, to accurately represent a signal, the sampling frequency must be at least twice the highest frequency component. Therefore, the Nyquist frequency in this scenario would be 2 * 75 Hz = 150 Hz.

Since we are sampling at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is 150 Hz / 2 = 75 Hz. Hence, when sampling x(t) at the Nyquist frequency, the resulting discrete frequency would be 75 Hz.

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Answer:

lefjiiofrioropr

Step-by-step explanation:

The exterior of a triangle is the sum of two of its interior angles except the one adjacent to it. The angle x is evaluated as 135°.

A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

Given that,

There is a triangle shown in the figure with following angles,

∠y = 102°  and ∠Z = 57°.

Angle x is the exterior angle of the given triangle. Use the property of exterior angle to get,

∠x  = ∠B + ∠Z

     = (180° - y) + 57°

     = (180° - 102°) + 57°

     = 135°

Hence, the angle x has been worked out as ∠x = 135°.

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Answer:

choice 2

Step-by-step explanation:

a translation is just a copy from one location to another

The variance of the 180 people contracting the flu, when probability of a person contracting the flu on exposure will be 41.958.

We have,

Total number of people i.e. n = 180,

And,

Probability that a person contracting the flu on exposure i.e. P = 0.37,

Now,

Using the variance of the binomial distribution,

i.e.

σ² = n × P × (1 - P),

Here,

σ² = variance,

n = number of trials,

P = Probability of getting flu,

So,

Now putting values, we get,

σ² = 180 × 0.37 × (1 - 0.37),

i.e.

σ² = 180 × 0.37 × 0.63,

On solving we get,

σ² = 41.958

So,

The variance is 41.958.

Hence we can say that the variance of the 180 people contracting the flu, when probability of a person contracting the flu on exposure will be 41.958.

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The child advocate collects data by randomly selecting 4 out of the 25 state orphanages. In each of the four selected orphanages, the child advocate surveys every child.

This approach allows the child advocate to obtain information from a representative sample of children in state orphanages. By surveying every child in the selected orphanages, the child advocate ensures that no child is excluded from the data collection process. This method provides a comprehensive understanding of the experiences, needs, and concerns of the children in the four chosen orphanages.

By collecting data in this manner, the child advocate can gather valuable insights that can inform policies and interventions to improve the well-being and support for children in state orphanages.

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Answer:

300-21=279

Step-by-step explanation:

Answer:

c) 18 cm²

d) 30 cm²

Step-by-step explanation:

c)

You can do this 2 different ways. Either way, you need to use the bottom side of 8 cm and the two congruent segments. Each of the two congruent segments of the bottom side measures 4 cm.

Method 1) Find the area of the large triangle and subtract from it the area of the small triangle.

area of triangle = bh/2

shaded area = 8 cm × 6 cm / 2 - 4 cm × 3 cm / 2

shaded area = 24 cm² - 6 cm²

shaded area = 18 cm²

Method 2) The shaded region is a trapezoid with parallel bases of lengths 3 cm and 6 cm and height 4 cm. Find the area of the trapezoid.

area of trapezoid = (B + b)h/2

shaded area = (6 cm + 3 cm)(4 cm)/2

shaded area = (9 cm)(4 cm)/2

shaded area = 18 cm²

d)

The area of the shaded region is the area of the white triangle subtracted from the area of the rectangle.

area of rectangle = length × width

area of triangle = bh/2

shaded area = (12 cm)(4 cm) - (9 cm)(4 cm)/2

shaded area = 48 cm² - 18 cm²

shaded area = 30 cm²

Answer:

there are no figures showing up

Step-by-step explanation:

Answer:

I think it is 8.

Step-by-step explanation:

But I might be wrong.

Answer:

36 sides

Step-by-step explanation:

360 degrees divided by the number of sides equals the rotation degrees. So in order to have your polygon map itself after rotating 10 degrees, it would have to have 36 sides. 360/36 = 10.

Answer:

270 minutes

Step-by-step explanation:

1 hour = 60 minutes

4 hours = 240 minutes

half hour = 30 minutes

240 minutes + 30 minutes = 270 minutes

The line y = -x, passing through the origin in the xy-plane, forms a 45-degree angle with the positive x-axis.

The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line. In this case, the equation y = -x has a slope of -1. The slope indicates the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

To determine the angle between the line and the positive x-axis, we need to find the angle that the line's slope makes with the x-axis. Since the slope is -1, the line rises 1 unit for every 1 unit it runs. This means the line forms a 45-degree angle with the x-axis.

The angle can also be determined using trigonometry. The slope of the line (-1) is equal to the tangent of the angle formed with the x-axis. Therefore, we can take the inverse tangent (arctan) of -1 to find the angle. The arctan(-1) is -45 degrees or -π/4 radians. However, since the line is in the positive x-axis direction, the angle is conventionally expressed as 45 degrees or π/4 radians.

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Answer:

Step-by-step explanation:

13y+x-7y

Combine like terms (13y-7y=6y)

=6y+x

See attachment for math work and answer.

The value of the expression is 28

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

2 square root 98 times square root 2

Express properly

So, we have the following representation

2√98 * √2

Evaluate the products

This gives

2√196

Take the square root of 196

2 * 14

So, we have

28

hence, the solution is 28

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