A maintenance warranty for solar heaters cost $50 a month plus a one time $15 processing fee. Complete the table to determine the total cost for different number of months.

Answer:

B

Step-by-step explanation:

The area of the attached quadrilaterals are

area of rhombus = 20 square units

area of rectangle  = 60 square units

none of the above

The formula for area of rhombus is

Area = base × height

Area = 5 × 4

= 20 square units

The formula for area of rectangle is

Area = length × width

Area = 10 × 6

= 60 square units

The formula for area is

Area = base × height

Area = 7 × 4

= 28 square units

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Answer:500

Step-by-step explanation:

√250000=500

Answer:

\( \sqrt{250000} \\ \sqrt{500} \times \sqrt{500 } \\ { \sqrt{500 } }^{2} \\ 500\)

Thank you ☺️☺️

Answer:

<1=73

Step-by-step explanation:

All triangles add up to 180 degrees!

Add 20 and 87

20+87=107

Subtract 107 from 180

180-107=73

Hope this helps! :)

Answer:

12 :D

Step-by-step explanation:

First we substitute all x's for -2 :)

f(-2)=−-2^3−3(-2)^2+8

Now we solve :)

f(-2)=−-2^3−3(-2)^2+8

f(-2)=− -8 −3(-2)^2 + 8

f(-2) = -8 - 3(-4) + 8

f(-2) = - 8 + 12 + 8

f(-2) = 4 + 8

f(-2) = 12 :)

f will equal 12 :)

Have an amazing day!!

Please rate and mark brainliest!!

We have:

Then, the measure of angle A is A = 2*30 = 60, m

Answer:

-30

Step-by-step explanation:

\(\frac{N}{-3} -2 =8\) ( Add 2 on both sides)

\(\frac{N}{-3} = 10\) ( Multiply by -3 on both sides)

\(N = -30\)

Verify:

\(\frac{-30}{-3} =10\) (Correct)

Answer:

\( \frac{n}{ - 3} - 2 = 8 \\ \frac{n}{ - 3} = 8 + 2 \\ = 10 \\ n = 10 \times - 3 \\ n = - 30\)

Answer:

What is the question?

Step-by-step explanation:

Answer:

WHAT WENDOSDD

Step-by-step explanation:

Answer:

9 units

Step-by-step explanation:

Answer:

15 is 30 percent of 50 hope this helps

a. The probability that exactly 125 km of track need to be tested before a defect is found is approx 0.005186, or about 0.52%,

b. Before a defect is discovered, 100 1-km segments of railroad track need to be tested.

a. To compute the probability that exactly 125 km of track need to be tested before a defect is found, we can use the geometric distribution. The geometric distribution models the number of independent and identically distributed trials needed to achieve the first success. In this case, a success is finding a defective 1-km segment of track.

The probability of finding a defect on any given 1-km segment is 0.01, so the probability of not finding a defect on any given segment is 0.99. Therefore, the probability of finding the first defect on the 125th 1-km segment tested is:

P(X = 125) = (0.99)^124 * 0.01

Where X is the number of 1-km segments tested before the first defect is found.

Using a calculator, we can evaluate this probability to be approximately 0.005186, or about 0.52%.

b. The expected value of the geometric distribution is given by:

E(X) = 1/p

Where p is the probability of success on any given trial. In this case, p = 0.01, so:

E(X) = 1/0.01 = 100

Therefore, on average, 100 1-km segments of railroad track need to be tested before a defect is found.

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The equation of the perpendicular line will be y = 29 / 3 - (2/3)x. Then the correct option is D.

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given below.

3x - 2y = 10

The equation of the line that is perpendicular line is given as,

2x + 3y + d = 0

The equation is passing through (7, 5). Then we have

2(7) + 3(5) + d = 0

14 + 15 + d = 0

29 + d = 0

d = - 29

Then the equation of the line is given as,

2x + 3y - 29 = 0

2x + 3y = 29

3y = 29 - 2x

y = 29 / 3 - (2/3)x

The equation of the perpendicular line will be y = 29 / 3 - (2/3)x. Then the correct option is D.

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The power series for the function

\(g(x) = 5x/(x^2 + 3x - 4)\)

centered at c = 0, we need to first factor the denominator of the function. We can factor

\(x^2 + 3x - 4 as (x + 4)(x - 1).\)

Therefore, g(x) can be written as:

\(g(x) = 5x/((x + 4)(x - 1))\)

Now, we can use partial fraction decomposition to express g(x) in terms of simpler fractions. We can write:

\(g(x) = 5/(x + 4) - 5/(x - 1)\)

Next, we can express each of the simpler fractions as a power series. For the first term, we have:

\(5/(x + 4) = 5/(4(1 + (x/4))) = (5/4)(1 - (x/4) + (x/4)^2 - (x/4)^3 + ...)\)

For the second term, we have:

\(-5/(x - 1) = -5/(-1(1 - (x/-1))) = (5)(1 + (x/-1) + (x/-1)^2 + (x/-1)^3 + ...)\)

Therefore, we can write:

\(g(x) = (5/4)(1 - (x/4) + (x/4)^2 - (x/4)^3 + ...) + (5)(1 + (x/-1) + (x/-1)^2 + (x/-1)^3 + ...)\)

Simplifying this expression and combining like terms, we can write:

\(g(x) = (5/4) + (15/16)x - (25/64)x^2 + (175/256)x^3 + ...\)

This is the power series for g(x) centered at c = 0.

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The differential equation xy" + xy' + 4y = 0 has ordinary points at x = 0 and x = ∞. The point x = 0 is a regular singular point, and the point x = ∞ is an irregular singular point.

To solve this differential equation using the power series method about x = 0, we first need to expand the solution as a power series:

y(x) = c0 + c1x + c2x2 + c3x3 + ...

Substituting this series into the differential equation and equating the coefficients of like powers of x to 0 gives us a set of equations for ci. Solving this set of equations gives us the coefficients of the power series, and hence the solution.

To solve the differential equation using the Frobenius method about x = 0, we first need to look for a solution of the form:

y(x) = xr(c0 + c1x + c2x2 + c3x3 + ... ).

Substituting this series into the differential equation and equating the coefficients of like powers of x to 0 gives us a set of equations for ci and r. Solving this set of equations gives us the coefficients of the power series, and hence the solution.

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a) A department manager receiving an allocation of costs will care about management's methodology of overhead allocation because the overhead costs allocated to their department will have a direct impact on the department's profitability and cost efficiency.

b) The allocation base is the measure used to determine how much of the overhead costs should be allocated to a particular department or product, while the allocation rate is the amount of overhead costs allocated to each unit of the allocation base

c) Budgets are an important tool for cost planning, but their effectiveness depends on how well they are developed and implemented.

a) If the allocation method used by management is not accurate or fair, it could result in the department being burdened with more costs than they actually incur, which could affect their ability to meet their targets and objectives. It is, therefore, important for department managers to ensure that the allocation of costs is done fairly and accurately.

b) The allocation base and rate are important because they determine how the overhead costs are allocated to different departments or products.

Different allocation bases and rates can result in significantly different amounts of overhead costs being allocated to different departments or products, which can impact their profitability. While all of the overhead costs eventually make their way to the income statement, the allocation of these costs can have a significant impact on the accuracy of the income statement and the ability of the organization to make informed decisions.

c) Budgets can be helpful in providing a roadmap for achieving the organization's goals and objectives, but they need to be flexible enough to adapt to changing circumstances and priorities.

The budget(s) that are most important to the organization's success will depend on the nature of the organization and its objectives. However, typically the operating budget, capital budget, and cash budget are the most important budgets for most organizations.

The government's budget process is similar to the operating budgeting process described in the chapter in that it involves the development of a budget to allocate resources and achieve goals. However, the government's budget process is more complex and involves additional considerations such as political priorities and public opinion. Additionally, the government's budget process involves a more detailed review and approval process than the operating budgeting process.

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Answer:

\(y'=\frac{-5}{(3x+2)^2}\)

Step-by-step explanation:

Step 1: Write equation

\(y=\frac{2x+3}{3x+2}\)

Step 2: Find derivative

The percent change in the number of visitors to the museum is 96.7%

From the information, on Monday, a museum had 300 visitors and on Tuesday, it had 590 visitors. The change will be:

= 590 - 300

= 290

Therefore, the percentage change will be:

= Change in visitors / Initial number of visitor × 100

= 290 / 300 × 100

= 96.7%

This is the percentage change regarding the number of visitors.

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The decimal number that corresponds to the binary number 11111111 is 255.

The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system. A decimal number is made up of two parts: a whole number and a fractional component separated by a decimal point. The decimal point is the dot between the whole number and the fractions. 25.5, for example, is a decimal number.

Here,

In binary, each digit represents a power of 2, starting with the rightmost digit. The rightmost digit in 11111111 represents 2^0, the second digit from the right represents 2^1, and so on. To convert a binary number to decimal, you add up the value of each digit times the corresponding power of 2.

For 11111111, the calculation would be:

=1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 1 * 2^4 + 1 * 2^3 + 1 * 2^2 + 1 * 2^1 + 1 * 2^0 = 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1

=255

The decimal equivalent of the binary number 11111111 is 255.

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Answer: itll be 2/3 im pretty sure

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

4.60=0.2t+0.5f

t=20 cent coins

f=fifty cent coins

t+f=14

multiply the second equation by 0.5 to eliminate the f and subtract one equation from another.

    4.60=0.2t+0.5f

   -(7      =0.5t+0.5f)

-------------------------------

    -2.4= -0.3t

multiply both sides by -0.3 to get 8=t. That's the # of 20 cent coins.

Using the z-distribution, it is found that the margin of error is of 0.059.

We are given the standard deviation for the population, hence the z-distribution is used.

It is given by:

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which:

In this problem, the parameters are:

Then:

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(M = 1.645\frac{0.25}{\sqrt{49}}\)

\(M = 0.059\)

The margin of error is of 0.059.

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To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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Answer: 12 units

Step-by-step explanation:

If you graph them on a graph you count the units between them and that is your anwser.

Answer:

12 units

Step-by-step explanation:

calculate DG using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2 -y_{1} } )^2\)

with (x₁, y₁ ) = D (8, 3 ) and (x₂, y₂ ) = G (- 4, 3 )

DG = \(\sqrt{(-4-8)^2+(3-3))^2}\)

     = \(\sqrt{(-12)^2+0^2}\)

     = \(\sqrt{144+0}\)

    = \(\sqrt{144}\)

    = 12

if the pile contains only 25 quarters and only 40 dimes but at least 50 of each other kind of coin, then 20,281 collections of 50 coins can be chosen.

what are quarters?

Given that:

25 quarters and only 40 dimes

No. of. Ways with at least 26 quarters and 41 dimes.

26 + 41 = 67 coins, but we have only 50 coins.

There are 0 ways to select at least 26 quarters and 41 dimes.

\(A_{1}\) = at least 26 quarters

\(A_{2}\) = at least 41 dimes

Using inclusion / exclusion rule for the two sets:

N(\(A_{1} U A_{2}\)) = N ( \(A_{1}\)) + N ( \(A_{2}\))- N (\(A_{1}\) ∩ \(A_{2\))

                = 2925 + 220 - 0

                = 3145

Therefore, no . of . ways with at most 25 quarters and at most 40 dimes are

= 23426 - 3145

= 20,281 ways

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Answer:

There are infinitely many solutions in the equation, 2x +5 = 4 +2x +1.

(Please comment if you want explanation)

Answer:

18.81

Step-by-step explanation:

The quarterly operating profit margin of TMG Ltd over the past six years is provided in Table 4.1, indicating the financial performance of the business during that period.

In order to assess the impact of the intervention strategy introduced by the current CEO three years ago, the board of directors (BOD) of TMG Ltd has contracted a researcher to analyze the data and determine if there have been significant improvements in the business outcomes. The quarterly operating profit margin serves as the unit of analysis for this evaluation.

Table 4.1 allows the researcher to examine the trend and fluctuations in the quarterly operating profit margin over the six-year period. By analyzing the data, the researcher can identify any noticeable changes in the financial performance of TMG Ltd, particularly after the implementation of the intervention strategy. The BOD is interested in understanding whether the strategy has resulted in improved profitability and overall financial health of the company.

The researcher will likely perform statistical analysis, such as calculating averages, trends, and identifying any significant variations, to draw conclusions about the effectiveness of the intervention strategy. By comparing the quarterly operating profit margin before and after the strategy's implementation, the researcher can assess whether the new CEO's efforts have had a positive impact on the company's financial performance.

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Answer:

20/27

Step-by-step explanation:

Answer: $7 + 2h = Will be the price she pays when she leaves.

Step-by-step explanation: