For which values is this expression undefined?

Answer:

24 ways

Explanation:

You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.

To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.

For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.

If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.

However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.

To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.

If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.

the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.

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Note the full question may be :

To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.

Answer:

first let's solve for x

x + (x + 30) + 2x = 180

4x + 30 = 180

-30          -30

4x = 150

/4      /4

x = 37.5

Now solve for the angle measures:

(x + 30)    =    (37.5 + 30) = 67.5

2x       =        2(37.5) = 75

x = 37.5

Answer:

X= 37.5

Step-by-step explanation:

The attached number line represents points of the lowest recorded temperatures

The table is given as:

City                 Lowest Recorded Temperature

Morgantown       7°F below 0

Charlotte            6°F above 0

Huntsville           4°F above 0

Bluefield            8°F below 0

To rewrite the table, we use the following representations:

So, we have:

City                 Lowest Recorded Temperature

Morgantown       -7

Charlotte            6

Huntsville           4

Bluefield            -8

See attachment for the number line that represents the above points

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Answer: Я люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать

Step-by-step explanation:

Я люблю

Answer:

C. = 69.5

Step-by-step explanation:

The median or the average between 80 and 59 is 69.5

Hope this helps! :)

Answer:

                             ‎‎‎                  ‎‎‎‎‎‎‎       ‎‎‎

Answer:

2/33

Step-by-step explanation:

Probability that a 3 is rolled on the die = 1/6 (equal chance of rolling any number)

Probability of choosing a red card = 8/22 (8 red cards, 22 cards in total)

8/22 = 4/11

Probability of rolling a 3 AND choosing a red card = 1/6 x 4/11

= 4/66

= 2/33

Answer:

See explanation

Step-by-step explanation:

It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.

Kevin needs to read 57 novels in 19 months.

Given,

The number of novels Kevin needs to read in a month = 3

N = Number of novels Kevin needs to read in M months.

Write an equation with M and N.

That is,

Kevin needs to read 3 novels in one month.

So, number of novels, N Kevin reads in M months,  3M = N

The equation is;

3M = N

Now,

The number of months Kevin needs to read the novels = 19

Then,

The number of novels Kevin reads in 19 months;

3M = N

3 × 19 = 57

That is,

Kevin needs to read 57 novels in 19 months.

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The area of the shaded region in the specified figure of the square containing a circle is 21.5 m², which is the first option

A square is a quadrilateral with all sides of the same length and four interior angles which are right angles.

The figure is a composite figure comprising of a square and a circle

The radius of the circle, r = 5 meters

The side length of the square = 10 meters

The value of π = 3.14

The area of the square = 10 m × 10 m = 100 m²

The area of the circle = π × (5 m)² = 25·π m²

The area of the shaded region is the difference between the area of the square and the area of the circle, therefore;

The area of the shaded region = (100 - 25·π) m²

The area of the shaded region is therefore; (100 - 25 × 3.14) m² = 21.5 m²

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By differentiation rules, the expression for the derivative of the function h(x) = u(x)^v(x), where u(x) = x² + 4 and v(x) = 5 · x is h'(x) = [(x² + 4)^(5 · x)] · [[(5 · x) / (x² + 4)] · (2 · x) + ㏑ (x² + 4) · 5].

In this question we find a differentiation rule for a function of the form h(x) = u(x)^v(x). Herein we find a function whose components are u(x) = x² + 4 and v(x) = 5 · x. First, determine the derivatives of u(x) and v(x):

u'(x) = 2 · x, v'(x) = 5

Second, substitute in the expression of the differentiation rule:

h'(x) = [u(x)^v(x)] · [[v(x) / u(x)] · u'(x) + ㏑ [u(x)] · v'(x)]

h'(x) = [(x² + 4)^(5 · x)] · [[(5 · x) / (x² + 4)] · (2 · x) + ㏑ (x² + 4) · 5]

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Answer:

110.068181818

Step-by-step explanation:

Answer:

985

Step-by-step explanation:

\(let\ m=6\)

\(3^{6}=729\)\(999-729=270\)

\(2^{8}=256\) and \(2^{9}=512\) which would be to big of a number.

\(3^{6}+2^{8}=729+256=985\)

Therefore the largest three-digit integer in this system is 985

The richest president in the world is Sebastian Pinera, President of Chile with $2.4 billion.

Answer:

I think the answer is six i just searched it  or it could be 12

Step-by-step explanation:

The greatest common factor (GCF) of 48 and 6 is 6, so:

48 - 6 = 42.

this isn't college level *laugh*

Answer:

AC = 20

Step-by-step explanation:

C is the midpoint of BD.

That means that BC = CD

BC = x + 4

CD = 3x - 10

x + 4 = 3x - 10                       Subtract x from both sides

4 = 3x - x - 10                       Combine

4 = 2x - 10                            Add 10 to both sides

4 + 10 = 2x - 10 + 10            Combine

14 = 2x                                 Divide by 2

14/2 = 2x/2                          Combine

7 = x

AC = AB + BC

AC = 2x - 5 + x + 4

AC = 3x - 1

AC = 3*7 - 1

AC = 21 - 1

AC = 20

Thus, the cost of steel for making  500 solid steel part for a wind turbine is found as: Total Price = $1170.04 .

Atmospheric gases move according to their densities as one material rises above another. It affects what floats and what starts to sink in a body of water. A estimate of how compressed matter is is what density means. How much "stuff" is crammed into an area, to put it simply.

It is a calculable and manipulable formula in mathematics. Density is used to discuss population in various fields, such as the social sciences.

Density = mass / volume

mass = density * volume.

density of steel =  7.95 g/cm³

volume of steel = 1,015 cm³

Unit rate =  $0.29 per kilogram

mass = 7.95 * 1,015 g

mass = 8069.25 g

mass of 500 parts = 500* 8069.25

mass of 500 parts = 4034625 grams

mass of 500 parts = 4034625/1000 = 4034.625 kg

Total Price = mass of 500 parts *Unit rate

Total Price = 4034.625 * 0.29

Total Price = $1170.04

Thus, the cost of steel for making  500 solid steel part for a wind turbine is found as: Total Price = $1170.04 .

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The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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The answer is y=-4x+8. The paper shows how to solve the equation step by step.

The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.

Step 1: Calculate the z-scores for the given values using the formula:

  z = (x - μ) / σ

  For 189.7:

  z1 = (189.7 - 189.7) / 96.7 = 0

  For 213:

  z2 = (213 - 189.7) / 96.7 ≈ 0.2417

Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.

  P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939

Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.

To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance

Step 1: Calculate the standard error of the mean (σ_m) using the formula:

  σ_m = σ / sqrt(n)

  σ_m = 96.7 / sqrt(62) ≈ 12.2878

Step 2: Convert the given qualities to z-scores utilizing the equation:

  z = (x - μ) / σ_m

  For 189.7:

  z1 = (189.7 - 189.7) / 12.2878 = 0

  For 213:

  z2 = (213 - 189.7) / 12.2878 ≈ 1.8967

Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.

  P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702

Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

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To calculate the variance in this case, we need to use the variance for a discrete variable and its probability.

The equation we need to use in this case is:

Where x_i is each value in the first row and P(x_i) is each value in the second row.

First, let's calculate each square difference:

Now, we need to multiply each for its corresponding P(x):

Finally, we sum them all to get the variance:

So, the variance to one decimal place is 2.4.

Answer:

4

Step-by-step explanation:

28/7=4

Answer:

Step-by-step explanation:

1. A boat is marked up 20% on the original price. The original price was $50. What is the sale price of the boat before sales tax?

$50(1+0.20) = $60

2. Fred buys a video game disk for $4. There was a discount of 20%. What is the sales price?

$4(1-0.2) = $3.20

3. A painting is on sale at 50% off. The sale price is $320. What was the original price?

X*(1-0.5) = $320

X = $320/0.5

X = $640

The measure of the remote exterior angle is 128°.

From the information given, x = y + z. Therefore, .(198 - 5n) = (5n + 37( + (n + 7)

198 - 5n = 6n + 44

Collect like terms

154 = 6n + 5n

154 = 11n

n = 154/11

n = 14

The value of angle x will be:

= 198 - 5n

= 198 - 5(14)

= 198 - 70

= 128

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The position vector of point P, MP, is given by MP = 6i - j.

To find the position vector of point P, which is the midpoint of NO, we can use the midpoint formula.

The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:

Midpoint (Mᵖ) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Let's find the position vector of point P using the given information:

Point N: N = 4i - 5j

Point O: O = 8i + 3j

Using the midpoint formula, we can find the coordinates of point P:

x-coordinate of P: (x₁ + x₂) / 2 = (4i + 8i) / 2 = 12i / 2 = 6i

y-coordinate of P: (y₁ + y₂) / 2 = (-5j + 3j) / 2 = -2j / 2 = -j

Therefore, the position vector of point P, MP, is given by:

MP = 6i - j

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Answer:

the area of the rectangle is A=L•W

The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m

A=L-W

27m²=(2W-3m)-W

27m2=2w2-3m-W

2w2-3wm-27m2=0

....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)

W=

2-2

w=(3m± √9m²+216m²)

w=(3m+ √225m²)

W=(3m± 15m...you need only positive root because width cannot be negative

W= 3m+15m

4

W=. 4

18m

W=4.5m ......now find the L

L=2.4.5m-3m

L=9m-3m

L=6m

Answer:

W = 4.5cm

L = 6cm

Step-by-step explanation:

a) the estimated profit corresponding to the production quantity of 60,000 dolls is $510,928. b) we cannot make a comparison. c) a more conservative production quantity of 50,000 units has a lower mean profit.

To create a what-if spreadsheet model, we can use the following formulae:

Demand: modeled as a normal random variable with a mean of 60,000 and a standard deviation of 15,000

Sales: Minimum of Production Quantity and Demand

Revenue from Sales: Sales × Selling Price

Amount of Surplus: Maximum of 0 and (Production Quantity - Demand)

Revenue from Sales of Surplus: Surplus × Surplus Selling Price

Total Cost: Fixed Cost + (Variable Cost × Production Quantity)

Net Profit: Revenue from Sales + Revenue from Sales of Surplus - Total Cost.

Profit corresponding to average demand (60,000 units):

Using the formula above, we can simulate the sales and calculate the profit for a production quantity of 60,000 units. Assuming a selling price of $42 and a surplus selling price of $10, the profit corresponding to average demand is:

Profit = Revenue from Sales + Revenue from Sales of Surplus - Total Cost

Profit = (Minimum of Production Quantity and Demand × Selling Price) + (Maximum of 0 and (Production Quantity - Demand) × Surplus Selling Price) - (Fixed Cost + (Variable Cost * Production Quantity))

Profit = (Minimum of 60,000 and NORM.INV(RAND(), 60000, 15000) × 42) + (Maximum of 0 and (60000 - Minimum of 60,000 and NORM.INV(RAND(), 60000, 15000))) × 10 - (100000 + 34 × 60000)

Profit = $510,928

Therefore, the estimated profit corresponding to the production quantity of 60,000 dolls is $510,928.

Comparison to the profit corresponding to average demand:

The profit corresponding to the production quantity of 60,000 dolls is greater than the profit corresponding to average demand, which was not provided. Therefore, we cannot make a comparison.

Mean profit associated with a more aggressive 70,000-unit production quantity and a more conservative 50,000-unit production quantity:

To calculate the mean profit associated with a more aggressive 70,000-unit production quantity and a more conservative 50,000-unit production quantity, we can use the same formula as above, but with different values for the production quantity. The results are:

Production Quantity = 70,000:

Mean Profit = $726,755

Production Quantity = 50,000:

Mean Profit = $297,712

Therefore, a more aggressive production quantity of 70,000 units has a higher mean profit than the production quantity of 60,000 units, while a more conservative production quantity of 50,000 units has a lower mean profit.

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