The electricity accounts of residents in a very small town are calculated as follows: If 500 units or fewer are used, the cost is 2 cents per unit. If more than 500 but not more than 1000 units are used, the cost is $10 for the first 500 units and 5 cents for every unit in excess of 500 . If more than 1000 units are used, the cost is $35 for the first 1000 units plus 10 cents for every unit in excess of 1000 . ■ A basic service fee of $5 is charged, no matter how much electricity is used. Write a program that enters the following five consumptions and use an if statement to calculate and display the total charge for each one: 200,500,700,1000,1500. (Answers: $9,$15,$25,$40,$90 )

Answer:

14

Step-by-step explanation:

let the number be y

if y is tripled we get 3y

3y = 28 + y

3y - y = 28

2y = 28

y = 14

Answer:

14

Step-by-step explanation:

Let the number be x.

Base on the given

↓ Equation ↓

3x=x+28

Solve:

3 x - x = 28

2 x = 28

x = 28/2

x = 14

Thus, The number is 14.

[RevyBreeze]

Answer:

31

Step-by-step explanation:

if the lenght is 10(×2), the width is 3 and the height is 4(×2). The sum of 20, 3,and 8 will be 31. That is the answer

Answer:

-3

Step-by-step explanation:

-9 divided by 3 is -3

The square root of -9 is -3

A negative square root is equal to the letter i

The answer would be -3i

Answer:

n = 84

Step-by-step explanation:

18 + 3 = 21, so that means the quotient of the number and 4 is 21.

21 * 4 = 84

CHECK:

84 / 4 = 21

21 - 3 = 18

Answer:1:3

Step-by-step explanation:

we can show this as 4:12=1:3

so ratio of bikes to children is 1:3

We need to add the first 4 terms of the series in order to find the sum to the indicated accuracy of 0.00005.

The series ∑n=1[infinity]​(−1)n−1n49​ is an alternating series, which means that the terms alternate in sign and decrease in size.

This type of series converges,and the error   in approximating the sum with the first n terms is less than or equal to the absolute value of the (n+1)th term.

In this case, we are given that the desired accuracy is 0.00005.

The (n+1)th   term of the series is (-1)^n / n⁴⁹, so we need to find the smallest n such that (-1)^n / n⁴⁹ <0.00005.

Using a calculator, we can find that n = 4   satisfies this condition. Therefore, we need to add the first 4 terms of the series in order to find the sum to the indicated accuracy.

The first 4 terms of the series are -

1/1⁴⁹ = 1

-1/2⁴⁹ = -1/1610612736

1/3⁹ = -1/29859862048

-1/4⁴⁹ = 1/209227898880

The sum of these 4 terms is 0.12345, which is accurate to within 0.00005

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Answer: 14m + 1

Step-by-step explanation:

       We will write an expression for this question.

One more➜ + 1

than the product of ➜ multiplication, *

Mabel's age ➜ m

One more than the product of 14 and Mabel's age

14 * m + 1, 14m + 1

Answer:

63%

Step-by-step explanation:

9.5/15

hope this helps

your  grade is a %63.333333333333

The coordinate of D is (0, - 2) if the points A, B and C are 3 corners of a parallelogram the answer would be (0, - 2).

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

It is given that:

the points A, B, and C are 3 corners of a parallelogram what are the coordinates of D.

Let D = (x, y)

Now, We know that;

The midpoint of AC = Mid-point of BD

(-2 + 5)/2 = (x + 3)/2

3 = x + 3

x = 0

(- 3+3)/2 = (y + 2)/2

y = - 2

Thus, the coordinate of D is (0, - 2) if the points A, B and C are 3 corners of a parallelogram the answer would be (0, - 2).

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The number of distinct telephone numbers possible given the restriction is 800,000.

Given that :

For the first digit, there are 8 options available (digits 0-6 and 9, excluding 7 and 8).

For the remaining five digits (second to sixth), there are 10 options available for each digit (digits 0-9).

Therefore, the total number of distinct telephone numbers possible can be calculated by multiplying the number of options for each digit:

Total number of distinct telephone numbers = 8 * 10 * 10 * 10 * 10 * 10 = 8 * 10⁵ = 800,000

Hence, there are 800,000 distinct telephone numbers possible in this country.

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Let X1, X2, . . ., Xn be an independent random sample from N(n/n+1 µ σ²). (i) Show that X =1/n Σn i

=1 Xi is an asymptotically unbiased estimator of µ.

The population mean is given by the following formula: µ = n/n+1µ + (1/n+1) ∑ni=1 Xi We can easily observe that the mean of the sample is a biased estimator of the population mean. To remove the biasness, we can use the following unbiased estimator for µ: X =1/n Σni

=1 Xiµ

= (n/n+1) (1/n ∑n i

=1 Xi) + (1 - n/n+1)µ

= (1 - 1/n+1) (1/n ∑ni

=1 Xi) + (1/n+1)µ

= X + (1/n+1)µ. Hence, the estimator X is asymptotically unbiased.

(ii) Show that Var(X) = σ2/n Also, σ² is the population variance, which is given by: σ² = n/n+1 σ² + (1/n+1) ∑ni

=1 (Xi - µ)². Taking the variance of the unbiased estimator X: Var(X)

= Var((1/n) ∑ni

=1 Xi)Var(X)

= (1/n²) ∑ni

=1 Var(Xi)Var(X)

= (1/n²) ∑ni

=1 σ²Var(X)

= (σ2/n)(n)Var(X)

= σ². Hence, X is a consistent estimator of µ.

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Answer:

\(3x + 6 = 0 \\ 3x = 0 - 6 \\ 3x = - 6 \\ x = \frac{ - 6}{3} \\ x = - 2\)

Answer: 3(x+2)

Step-by-step explanation:

ask yourself what numbers can I take out of 3 and 6, you can divide by 3 :)

3x / 3

1x

x

6 / 3

2

3(x+2)

Only one of the following functions is a solution of the differential equation y′′−9y′+18y=0.

The second-order homogeneous linear differential equation is given as:y'' - 9y' + 18y = 0This differential equation is a linear homogeneous equation. We will have two roots of the characteristic equation: r1 = 3, r2 = 6So, the general solution to the differential equation is given as:y = c1e3x + c2e6xwhere c1 and c2 are arbitrary constants.a. y(x) = e6x is a solution because it is a part of the general solution of the differential equation.y(x) = e−x, y(x) = 0, y(x) = 6x, y(x) = 3x, y(x) = ex are not solutions because they don't satisfy the differential equation. Hence, the correct options are:a. y(x) = e6xTherefore, only one of the following functions is a solution of the differential equation y′′−9y′+18y=0.

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the five-number summary for the given data is: Minimum: 43, First Quartile: 53.75, Median: 71, Third Quartile: 85.5, Maximum: 95.

The five-number summary provides a concise summary of the distribution of the data. It consists of the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value. These values help us understand the spread, central tendency, and overall shape of the data.

To obtain the five-number summary, we first arrange the data in ascending order: 43, 43, 43, 46, 50, 55, 55, 56.5, 58, 62, 66, 71, 72.5, 74, 79, 85, 85.5, 86, 87, 87, 90, 94, 95, 95.

The minimum value is the lowest value in the dataset, which is 43.

The first quartile (Q1) represents the value below which 25% of the data falls. In this case, Q1 is 53.75.

The median (Q2) is the middle value in the dataset. If there is an odd number of data points, the median is the middle value itself. If there is an even number of data points, the median is the average of the two middle values. Here, the median is 71.

The third quartile (Q3) represents the value below which 75% of the data falls. In this case, Q3 is 85.5.

Finally, the maximum value is the highest value in the dataset, which is 95.

Therefore, the five-number summary for the given data is: Minimum: 43, First Quartile: 53.75, Median: 71, Third Quartile: 85.5, Maximum: 95.

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Steps 1, 2, 3, and 4 are distributive prοperties, subtractiοn, additiοn, and divisiοn respectively.

The prοcess in mathematics tο οperate and interpret the functiοn tο make the functiοn οr expressiοn simple οr mοre understandable is called simplifying and the prοcess is called simplificatiοn.

Here,

-2(5x + 8) = 14 + 6x

Step 1  

-10x -16 = 14 + 6x

distributive prοperty

distribute -2 in the parenthesis tο 5x and 8

Step 2

-16x - 16 = 14

subtractiοn

subtractiοn οf -6x

Step 3

-16x = 30

Additiοn οf 16

Step 4

x = -30/16

divisiοn οf -16

x = -15 / 8

Thus, Steps 1, 2, 3, and 4 are distributive prοperties, subtractiοn, additiοn, and divisiοn respectively.

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the answer for the given question is :The scale factor of the dilation shown in the given figures is 2/3

Given two figures, an original triangle(ABC) and a new

triangle(A' * B' * C') upon dilation.

To be found: To find the scale factor of the given dilation.

Solution: Here, the original figure is triangle ABC and the new figure is rectangle A' * B' * C' .The scale factor of the dilation is given by the formula,

Scale factor = Dimension of the side of the new figure/ Dimension of the side of the original figure

Considering the side AB and A' * B' of triangle ABC and triangle A' * B' * C' respectively, we get Scale factor = A' * B' , AB

Substituting the values, we get

Considering the side AB and A'B' of AABC and A'B'C' respectively, we get

Scale factor = A'B'/ AB

Substituting the values, we get

Scale factor = 8/12

Scale factor = 2/3

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Answer:

6, 12

Step-by-step explanation:

10-2=8    8/2= 4   2+4= 6

18- 6= 12    12/2= 6   6+6=12

Answer:

+3.16i, -3.16i

Step-by-step explanation:

This has complex roots.

ax² + bx + c = 0

a = 1

b = 0

c = 10

Roots:  +3.16i, -3.16i

Answer:

Question 1 : A or B or C don't know

Question 2: A = that is what the question is answering

Question 3: B = that is what the question is answering

Question 4: B  = that is what the question is answering

Step-by-step explanation:

To maintain equilibrium in the position shown, we need to determine the magnitude of the vertical force P at point C and the reactions at points A and B.

(a) To find the magnitude of the vertical force P at point C, we can use the principle of equilibrium. The sum of the vertical forces must be equal to zero. Since the weight of the load is 120 lbs acting downwards, the force P at point C should be equal to the weight of the load to maintain equilibrium. Therefore, the magnitude of force P is 120 lbs.

(b) Assuming that the bearing at point B does not exert any axial thrust, we can analyze the reactions at points A and B. Since the system is in equilibrium, the sum of the forces in the horizontal and vertical directions at points A and B should be equal to zero.

In the horizontal direction, the reaction at point B will balance the horizontal component of force P. However, without additional information or constraints, we cannot determine the specific value of the reaction at point B.

In the vertical direction, the reaction at point A will balance the weight of the load plus the vertical component of force P. Therefore, the magnitude of the reaction at point A is the sum of the weight of the load and the vertical component of force P, which is 120 lbs plus the vertical component of force P.

In summary, the magnitude of the vertical force P at point C should be 120 lbs, and the reactions at points A and B depend on additional information or constraints that are not provided in the given problem statement

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To maintain equilibrium in the given position with a small winch raising a 120-lb load, the magnitude of the vertical force P at point C needs to be determined. Additionally, the reactions at points A and B can be calculated, assuming the bearing at B does not exert any axial thrust.

(a) To maintain equilibrium, the vertical force P at point C should be equal to the weight of the load, which is 120 lbs. This is because for an object to be in equilibrium, the sum of the forces acting on it must be zero. In this case, the force P must balance out the weight of the load, ensuring there is no net force in the vertical direction.

(b) Assuming the bearing at B does not exert any axial thrust, the reactions at points A and B can be determined. The reaction at point A, denoted as RA, will be equal in magnitude and opposite in direction to the vertical force P. This is because the weight of the load is transmitted through the cable to point A. As for point B, the vertical reaction, denoted as RB, will be equal to the weight of the load (120 lbs) since there is no axial thrust from the bearing at B.

In summary, to maintain equilibrium, the magnitude of the vertical force P at point C should be 120 lbs. The reactions at points A and B are equal to 120 lbs and 120 lbs, respectively, assuming no axial thrust from the bearing at B.

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The minimum average Josephine must achieve on the second test is given by (170 - a).

o know the minimum average she must achieve on the second test in order to earn an overall course grade of 85%.

Let's denote the average of the two tests as "x." Since Josephine wants an overall course grade of 85%, we can set up the following equation:

(0.5 * x) + (0.5 * y) = 85

Here, "x" represents the score on the first test (which is already completed and can be considered a fixed value), "y" represents the score on the second test (the one Josephine wants to find), and the weights of both tests are equal (0.5 each) since they contribute equally to the average.

Simplifying the equation, we have:

0.5x + 0.5y = 85

To find the minimum average Josephine must achieve on the second test, we need to consider the worst-case scenario where she scores the minimum possible on the first test. Suppose the minimum score on the first test is denoted as "a."

Substituting "a" for "x" in the equation, we get:

0.5a + 0.5y = 85

Now, let's solve this equation for "y" to determine the minimum average Josephine must achieve on the second test:

0.5y = 85 - 0.5a

y = (85 - 0.5a) / 0.5

y = 170 - a

Therefore, the minimum average Josephine must achieve on the second test is given by (170 - a).

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Answer:

Let's start with the fixed cost, which is the cost to rent the room: $150. This is the y-intercept of the equation. Now, for each child attending the party, there is an additional cost of $5. We can represent the number of children attending with the variable x. Therefore, the equation in slope-intercept form is: y = 5x + 150 So the correct answer is D) y = 5x + 150

The set {h| 0 ≤ h ≤ 60} describe the domain of p(h).

According to the statement

We have given that the brenton gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour.

and we have to find that the those set which describes the domain of p(h).

So,for this purpose

In this case, the domain represents the set of hours he is permitted to work

From the question, we understand that he cannot work more than 60 hours

This means that, the least number of hours to work is 0, and the highest is 60

So, the domain is 0 to 60

When represented properly, the domain of P(h) is (b)  {h| 0 ≤ h ≤ 60}.

So, The set {h| 0 ≤ h ≤ 60} describe the domain of p(h).

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week. Which set describes the domain of P(h)? {h| 0 ≤ h ≤ 40} {h| 0 ≤ h ≤ 60} {P(h)| 0 ≤ P(h) ≤ 1,400} {P(h)| 0 ≤ P(h) ≤ 1,800

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Answer:

B.{h|0<h<60}

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Write it out like this

15 = 100

3 = x

Then (3*100)/15 = 20

Answer:

$8.2225

Step-by-step explanation:

100% - 45% = 55%

then divide 55 by 100 to get .55

lastly multiply .55 to 14.95 to get 8.2225

Answer:

A. y=-2x+6

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

part of a low is anything lower than 1oo

twice of 1/8 = 2/8 = 1/4

Answer:

25%

Step-by-step explanation:

"twice" means two times.

"twice the value of 1/8" is

2 × 1/8

(to multiply a whole number times a fraction, multiply the big number × the top number)

2 × 1/ 8 is 2/8

2/8 is 1/4.

1/4 = .25 = 25%

Since the answer is a percent, change 1/4 to a decimal, .25, change the decimal to a percent.

Or you could change 1/4 to 25/100. Percent means "per hundred" 25/100 is 25%.