Hello I need help please

Answer:

Step-by-step explanation:

1.1. Advantages of Selling Prepaid Electricity

Two advantages of selling prepaid electricity are:

a) Reduced costs for the municipality: Prepaid meters eliminate the need for the municipality to send meter readers to each property and manually read the meter. This can save the municipality time and money.

b) Improved cash flow: By receiving payment before the electricity is used, the municipality can improve its cash flow as it will have funds available to purchase more electricity.

1.2. Number of Units Mr Nkomo Received When He Bought Prepaid Electricity for R68,02

The rate per kWh including VAT is R1,33. To determine the number of units Mr Nkomo received, we can use the formula:

Units = Amount / Rate

Units = R68,02 / R1,33

Units = 51.04 kWh

So, Mr Nkomo received 51.04 kWh of electricity when he bought prepaid electricity for R68,02.

1.3. Cost of 310 kWh of Electricity

The rate per kWh including VAT is R1,33. To determine the cost of 310 kWh of electricity, we can use the formula:

Cost = Units * Rate

Cost = 310 kWh * R1,33

Cost = R411,30

So, Mr Nkomo will have to pay R411,30 for 310 kWh of electricity.

1.4. Percentage Profit the Municipality Makes When a Customer Buys 290 kWh of Electricity

To determine the percentage profit the municipality makes when a customer buys 290 kWh of electricity, we need to calculate the cost price and the selling price of the electricity. The cost price of electricity is R1,33 per kWh. The selling price is given in the table as R144,72 for 2-50 kWh, R186,06 for 51-350 kWh, R261,87 for 351-600 kWh, and R308,37 for over 600 kWh.

Since the cost price is R1,33 per kWh and the selling price is different for different ranges of units, we need to calculate the cost and selling price for each range of units and find the average.

For 2-50 kWh:

Cost = 2-50 kWh * R1,33

Cost = 50 kWh * R1,33

Cost = R66,50

Selling price = R144,72

Profit = Selling price - Cost

Profit = R144,72 - R66,50

Profit = R78,22

Percentage profit = (Profit / Cost) * 100

Percentage profit = (R78,22 / R66,50) * 100

Percentage profit = 17.7%

For 51-350 kWh:

Cost = 51-350 kWh * R1,33

Cost = 350 kWh * R1,33

Cost = R466,50

Selling price = R186,06

Profit = Selling price - Cost

Profit = R186,06 - R466,50

Profit = R29,56

Percentage profit = (Profit / Cost) * 100

Percentage profit = (R29,56 / R466,50) * 100

Percentage profit = 6.3%

For 351-600 kWh:

Cost = 351-600 kWh * R1,33

Cost = 600 kWh * R1,33

Cost = R798,00

Selling price = R261,87

Profit = Selling price - Cost

Profit = R261,87 - R798,00

Profit = -536,13

Percentage profit = (Profit / Cost) * 100

Percentage profit = (-536,13 / R798,00) * 100

Percentage profit = -67.3%

For over 600 kWh:

Cost = over 600 kWh * R1,33

Cost = R1,33 * 1000

Cost = R1330,00

Selling price = R308,37

Profit = Selling price - Cost

Profit = R308,37 - R1330,00

Profit = -1021,63

Percentage profit = (Profit / Cost) * 100

Percentage profit = (-1021,63 / R1330,00) * 100

Percentage profit = -76.7%

The average percentage profit for the municipality is calculated by finding the total profit and total cost for each range of units and then dividing the total profit by the total cost.

For the range 2-50 kWh, the total profit is R78,22 and the total cost is R66,50, so the average percentage profit is (R78,22 / R66,50) * 100 = 17.7%.

For the range 51-350 kWh, the total profit is R29,56 and the total cost is R466,50, so the average percentage profit is (R29,56 / R466,50) * 100 = 6.3%.

For the range 351-600 kWh, the total profit is -536,13 and the total cost is R798,00, so the average percentage profit is (-536,13 / R798,00) * 100 = -67.3%.

For the range over 600 kWh, the total profit is -1021,63 and the total cost is R1330,00, so the average percentage profit is (-1021,63 / R1330,00) * 100 = -76.7%.

The average percentage profit for the municipality for the four ranges of units is calculated as follows:

Average percentage profit = (17.7% + 6.3% - 67.3% - 76.7%) / 4

Average percentage profit = -34.05%

Therefore, Mr Nkomo's claim that the percentage profit the municipality makes when a customer buys 290 kWh of electricity is more than 34% is NOT VALID.

Answer:

Step-by-step explanation:

[tex]\mathrm{3x+5=5(x+3)}[/tex]

Expand:-

[tex]\mathrm{3x+5=5x+15}[/tex]

Subtract 5x from both sides:-

[tex]\mathrm{-2x+5=15}[/tex]

Subtract 5 from both sides:-

[tex]\mathrm{-2x=15-5}[/tex]

[tex]\mathrm{-2x=10}[/tex]

Divide both sides by -2:-

[tex]\mathrm{\cfrac{-2x}{-2}=\cfrac{10}{-2}}[/tex]

[tex]\mathrm{x=-5}[/tex]

___________________

Hope this helps!

a. The probability that all the marbles are red is calculated as follows:

(7 choose 3) / (18 choose 3) = (35 / (816)) = 0.0429

So, the probability that all the marbles are red is 0.0429, rounded to 4 decimal places.

b. The probability that none of the marbles are red is calculated as follows:

(12 choose 3) / (18 choose 3) = (220 / 816) = 0.2696

So, the probability that none of the marbles are red is 0.2696, rounded to 4 decimal places.

The average hourly wage for police officers is $30.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

The U.S. Bureau of Labor Statistics is a government agency that collects information about jobs in the U.S.

In 2018, the Bureau reported that Wisconsin police officers had a mean yearly salary of $62,040.

Assume that police officers generally work 40 hours a week.

There are 52 weeks in the year.

The average hourly wage for police officers is,

= 62040 ÷ (52 x 40)

= 62040 / 2080

= 29.8

≈ $30

Therefore, $30 is the hourly wage.

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Answer: Let's call the ratio of the perimeters of the two similar figures "k". That means that for every unit of length in RSTU, there are k units of length in ABCD.

Since UR = 18 and DA = 24, k = 24/18 = 4/3.

So for every length in RSTU, there are 4/3 times that length in ABCD. We can use this ratio to find the corresponding lengths in ABCD. For example, SR = 36, so BS = 36 * (4/3) = 48.

Now that we have the lengths of all sides of ABCD, we can find its perimeter:

Perimeter of ABCD = 24 + 48 + BC + 24 = 120 + BC

Perimeter of RSTU = 18 + 36 + 18 + 36 = 108

So the ratio of their perimeters is:

Perimeter of ABCD / Perimeter of RSTU = (120 + BC) / 108 = (120 / 108) + (BC / 108) = 20/18 + BC/108

Since the perimeters of the two figures are similar, the ratio of their perimeters is equal to the ratio of their corresponding side lengths:

20/18 + BC/108 = 4/3

Solving for BC:

BC = (4/3 - 20/18) * 108 = 36

Step-by-step explanation:

The fraction of Mrs. Stanford's class that came late and brought notes that day was 1 / 4

To find the fraction of Mrs. Stanford's class that came late and brought notes that day, the relevant formula would be:

= Fraction of students who came late x Fraction of late students who brought notes

Fraction of students who came late = 3 / 4

Fraction of students who were late and brought notes = 1 / 3

The fraction of total students who were late and brought notes were ;

= 3 / 4 x 1 / 3

= 3 / 12

= 1 / 4

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The volume of the composite figure is 12 cubic in.

How to calculate the Volume of Composite Shapes?

Composite shapes have a volume that is made up of basic shapes. We can calculate the volume of the composite shapes using the steps listed below:

Step 1: Break down the compound shape into different components.

Step 2: Determine the volume of each basic shape.

Step 3: Combine the volumes of all the basic shapes.

Step 4: Write the solution in cubic units.

Firstly we can divide the figure into two rectangular prisms A and B. Then add these two to total volume the volumes of each prism.

The volume of prism A = length × width × height

V = 4 * 2 * 1

V = 8 cubic in.

The volume of prism B = length × width × height

V  = 1 * 2 * 2

V = 4 cubic in.

Total volume = volume of prism A + volume of prism B

= 8 cubic in + 4 cubic in

= 12 cubic in

Hence, the volume of the composite figure is 12 cubic in.

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There were a total of 95,082 students from country C.

A percentage in mathematics is a figure or ratiο that is stated as a fractiοn of 100. The abbreviatiοns "pct.," "pct," and "pc" are alsο occasionally used. It is frequently denοted using the percent symbol "%," though. The amοunt of percentages has no dimensions. With a denominatοr of 100, percentages are basically fractiοns.

To shοw that a number is a percentage, place a percent symbol (%) next to it. Fοr instance, if you correctly answer 75 out of 100 questiοns on a test (75/100), you receive a 75%. Tο compute percentages, divide the amount by the tοtal and multiply the result by 100. The percentage is calculated using the fοrmula (value/total) x 100%.

x represents the number οf students from cοuntry C.

then 122percent  of x = 116,000

122/100 * x = 116000

x = 116000 * 100/122 = 95,082 students

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Answer:

{30.1,30.7}

Step-by-step explanation:

[tex]\displaystyle CI=\bar{x}\pm z\frac{s}{\sqrt{n}}\\\\CI_{90\%}=30.4\pm1.645\biggr(\frac{5.5}{\sqrt{686}}\biggr)\\\\CI_{90\%}\approx30.4\pm 0.3\\\\CI_{90\%}=\{30.1,30.7\}[/tex]

Thus, we are 90% confident that the true amount of mmHg that is lowered will be between 30.1 and 30.7 mmHg.

The amount of money that would be paid for rent each year for the spa would be = $37,800

The area of the potential space for the opening of your first spa = 1,800 square feet.

The price for each square feet per year = $21

That is; = 1800× 21 = $37,800

Therefore, annual rent fees for the space which will be used for spa = $37,800.

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G is a linear function with a rate of change of -12 and an initial value of 100. Its equation is: g = -12x + 100.

Straight lines make up the graph of linear functions. The following is the format of a linear function. y = f(x) = a + bx A linear function has a independent variable so one dependent variable.

As a result of the task's objectives, it is necessary to identify the linear expression that corresponds to the verbal description that has been provided.

Since f(x) = axe + b is the typical slope-intercept form of a linear function,

an is the slope (rate of change), and b is the y-intercept (initial value).

g = -12x + 100 is the necessary linear function, which is what has been presented.

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The radius, diameter, area and circumference of circle 1, 2, 3 and 4 are; (2, 4, 4π, 4π), (4, 8, 16π, 8π), (1, 2, 1π, 2π) and ( 8, 16, 64π, 16π) respectively.

The diameter of a circle is 2 times the radius of the circle.

The area of a circle is expressed as: A = πr²

The circumference of a circle is expressed as: 2πr

For question 1)

Radius r = 2

Diameter = 2 × radius = 2 × 2 = 4

Area = πr² = π( 2 )² = 4π

Circumference = 2πr = 2 × π × 2 = 4π

For question 2)

Radius r = 4

Diameter = 2 × radius = 2 × 4 = 8

Area = πr² = π( 4 )² = 16π

Circumference = 2πr = 2 × π × 4 = 8π

For question 3)

Diameter d = 2

Radius = diameter / 2 = 2/2 = 1

Area = πr² = π( 1 )² = 1π

Circumference = 2πr = 2 × π × 1 = 2π

For question 4)

Diameter d = 16

Radius = diameter / 2 = 16/2 = 8

Area = πr² = π( 8 )² = 64π

Circumference = 2πr = 2 × π × 8 = 16π

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The annual interest rate on the saving account is 5%.

Also known as annual percentage rate (APR) is the interest generated by a sum charged to borrowers or paid to investors each year. Its represents the actual yearly cost of funds over the life of a loan or the income earned on an investment.

To determine our annual interest rate, we can use the formula for simple interest: I = Prt. We need to find "r" which is our interest rate.

Now, we know the interest earned (I = $200) and the principal (P = $1,000), we can substitute those values into the formula:

$200 = $1,000 * r * 4

r = $200 / ($1,000 * 4)

r = 0.05. Therefore, the annual interest rate is 0.05 or 5%.

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A pyramid is a three-dimensional geometric shape that has a polygonal base and triangular faces that meet at a common point. The height of a pyramid is the perpendicular distance from the base to the apex.

A cube is a three-dimensional shape that has six square faces of equal size. All angles of a cube are right angles, and all edges have the same length. The volume of a cube is given by the formula V = s³ where s is the length of one edge.

A rectangular prism is a three-dimensional shape that has six rectangular faces. The opposite faces are congruent and parallel, and all angles are right angles. The volume of a rectangular prism is given by the formula V = lwh, where l, w, and h are the lengths of the three perpendicular edges.

A sphere is a three-dimensional shape that is perfectly round and has no edges or corners. It is defined as the set of all points in three-dimensional space that are equidistant from a given point called the center. The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

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There are 33% of the total is made up of Planes.

The percentage is defined as a ratio expressed as a fraction of 100.

The table is given in the question, as follows:

               Car       Plane      Train      Total

Green:     120       250        500       870

Blue:       150        350        750       1250

Yellow:   170         200      450        820

Red:       200        300      300       800

Brown:   220        450       320        990

Total:     860       1550    2320        4730

Total number of planes = 1550

The total number of all vehicles = 4730

The percent of planes = (number of planes/number of all vehicles) x 100

The percent of planes = (1550/4730) x 100

The percent of planes = 0.3276 x 100

The percent of planes = 32.76

Round to the nearest percent, and we get

The percent of planes = 33%

Thus, 33% of the total is made up of Planes.

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On solving the provided question, we can say that quadratic equation is 46.

A quadratic equation is x ax² +bx +c = 0, which is a quadratic polynοmial in a single variable. a 0. The Fundamental Theοrem of Algebra ensures that it has at least οne solution since this polynomial is of second οrder. Solutions may be simple or cοmplicated.

An equation that is quadratic is a quadratic equatiοn. This indicates that it has at least οne word that has to be squared. The fοrmula "ax² + bx + c = 0" is one of the often used solutions for quadratic equatiοns. where are numerical cοefficients or constants a, b, and c. where the variable "X" is unidentified.

Quadratic equatiοn is



R(d) = d³ +3d² -8

R(3) = (3)³ +3(3)² - 8

R(3) = 27 + 27 - 8

R(3) = 46

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All of the options which are true of similar shapes include the following:

A. They must be the same shape.

D. They can be different sizes.

In Mathematics, two (2) geometric shapes are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

In Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):

This ultimately implies that, two (2) similar geometric shapes can have different sizes depending on the scale factor that is applied.

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Answer:384 children and 123 adults swam at the public school.

Step-by-step explanation:

The factors in the factored form represents the value of the function when x = 0.

Quadratic functions are defined as the polynomial functions consisting of variables and exponents with the degree of the variable being 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given is a quadratic function,

y = x² + 2x - 15

This can be factorized as (x + p)(x + q) such that p × q = -15 and p + q = 2.

Two such numbers are -3 and 5.

-3 × 5 = -15 and -3 + 5 = 2

y = x² + 2x - 15

y = (x - 3) (x + 5)

Factors are x - 3 and x + 5

Here, the numbers 3 and -5 represents the input values of the function when the output value or the value of the function equals 0 or they are the x intercepts of the function.

Hence the factors in the factored form are the x intercepts of the function.

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The complete question is as follows :

What do the factors in the factored form represent?

y = x² + 2x - 15

Answer:

Y> (x - 4)² + 28

Step-by-step explanation:

Add  up all the sides:

-x^2+2x+3x-4+2x^2+5

x^2+5x+1

Answer:

The equation of the line that passes through (-2, 3) and is parallel to 2x + 3y = 6 is 2x + 3y - 5 = 0.

Step-by-step explanation:

The simplified expression of  K-7 ft-X-8 ft-K-20 ft is -35ft-X

An expression is combination of variables, numbers and operators.

The given expression is K-7 ft-X-8 ft-K-20 ft

We need to simplify the given expression.

Add the like terms

-7 ft-X-8 ft-20 ft

-27ft-X-8 ft

-35ft-X

Hence, -35ft-X is the simplified expression of  K-7 ft-X-8 ft-K-20 ft

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If "a" is a root of a polynomial, then (x-a) is a factor of the polynomial.

If the multiplicity of a root a is "p", then (x-a)^p is a factor of the polynomial.

Based on the roots and multiplicity, we have:

    P(x) = k · (x-2)^2 · (x-0) · (x - (-2))

    P(x) = k · (x-2)^2 · (x-0) · (x+2)

We need that "k" up front to account for any vertical stretch or compression to hit the exact point (5,189).

To find "k", we plug in that point and solve for "k":

     189 = k · (5-2)^2 · (5-0) · (5+2)

     189 = k · (3)^2 · (5) · (7)

     189 = k · 315

     0.6 = k

So the final answer is: P(x) = 0.6 · (x-2)^2 · (x-0) · (x+2)

The value of x is 21.4.

What is right-angle triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.

The height of the right-angle triangle is 11. The hypotenuse of the right-angle triangle is x. The measure of the angle opposite to height is 31°.

The sine of an angle is the ratio of height to the hypotenuse.

Therefore,

sin 31° = height/hypotenuse

sin 31° = 11/x

Multiply x with both sides:

x sin 31° = 11

Divide sin 31° with both sides:

x = 11/ sin 31°

x = 21.35

x ≈ 21.4 units

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To determine the total energy consumption of refrigerator A in a day, we need to first convert the power usage from watts to kilowatts.

500 watts/hour * 1 kilowatt/1000 watts = 0.5 kilowatts/hour

Next, we can calculate the energy consumption in kilowatt-hours (kWh) per day:

0.5 kilowatts/hour * 12 hours/day = 6 kilowatt-hours/day

To find the daily cost of running the refrigerator, we can multiply the energy consumption by the cost per kWh:

6 kWh/day * $0.12/kWh = $0.72/day

To calculate the yearly cost of running the refrigerator, we can multiply the daily cost by 365 days:

$0.72/day * 365 days = $262.80/year

To calculate the total cost of running the refrigerator for 20 years, we can multiply the yearly cost by 20:

$262.80/year * 20 years = $5,256.00

In addition to the cost of running the refrigerator, there is also the cost of purchasing the unit itself. In this case, the cost is $1,000.

Therefore, the total cost of owning and operating Refrigerator A for 20 years is:

$5,256.00 (operating cost) + $1,000.00 (purchase cost) = $6,256.00

It's worth noting that this calculation assumes that the cost of electricity remains constant over the 20-year lifespan of the refrigerator. In reality, the cost of electricity may increase over time, which would increase the overall cost of running the refrigerator.

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The statement made by Diego is correct.

In order to determine the number of groups of 5/6 that are in 1, 1 would be divided by 5/6.

1 ÷ 5/6

= 1 x 6/5 = 6/5

6/5 is called an improper fraction because the numerator is greater than the denominator.

6/5 can also be rewritten as a mixed fraction. If it is rewritten as a mixed fraction, it becomes 1 1/5.

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Given question is incomplete , the complete question is given below:

Diego said that the awnser to the question "How many groups of 5/6 are in 1?" Is 6/5 or 1 1/5.Do you agree with his statement? Explain or show your reasoning.

On solving the provided question, we can say that   relation between tangential speed and angular speed, v = r * w; v: tangential speed; r: radius; w: angular speed

The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.

relation between tangential speed and angular speed

v = r * w

v: tangential speed

r: radius

w: angular speed

the radius is

r = d/2

d is the diameter

[tex]v = (d * w)/2\\w = 2*v/d\\w = (2*9 mile/h)/(58 feet)\\w = (2*9 mile/h)/(0.011 miles) = 1636 rad/h\\w = 1636/60 = 27.2 rad/min\\[/tex]

the angular speed is in radians,

[tex]n = v/(π*d)[/tex]

n = (9 mile/h)/(π*0.011 mile) = 260 rev/h

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We can presume that x is a positive number because we are aware of the widening of the roadways and the increase in Jonathan's speed. It takes three seconds for Jonathan's speed to change by 234.67 + 2x feet per second.

the definition of speed. a direction or speed at which an object's location changes. The distance travelled relative to the time it took to travel that distance is how fast something is moving.

In contrast to velocity, which describes the speed and direction of an object's movement, speed is the rate of movement along a path. Alternatively, velocity is a vector while speed is a scalar quantity.

Let's first convert Jonathan's initial speed of 160 miles per hour to feet per second, since we're measuring the change in speed every three seconds.

160 miles per hour = 160 * 5280 feet per hour = 844800 ft/h

= 844800/3600  ft/s (since there are 3600 seconds in an hour)

= 234.67 ft/s (rounded to two decimal places)

Now, let's assume that Jonathan's speed increases by x feet per second every three seconds. After three seconds, his new speed will be 234.67 + x feet per second. After another three seconds, his speed will be 234.67 + 2x feet per second, and so on.

Since we know that the roads are getting wider and Jonathan's speed is increasing, we can assume that x is a positive number.

Therefore, the rate of change of Jonathan's speed is 234.67 + 2x feet per second every three seconds.

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