HELP ME PLZ WILL GIVE BRIANLY

Given that April has 30 days, Luke used, on average, 20.05 kilowatt-hours of electricity per day during April.

The average is the mean value obtained by dividing the total value of a data set by the number of items.

In this situation, we can divide the total electric bill for April by 30 to obtain the average daily charge.

In addition, we can divide the average charge per day by the cost per kilowatt-hour to obtain the number of kilowatt-hours used per day.

The total electric bill for April = $84.21

The charge per kilowatt-hour (kWh) = $0.14

The number of days in April = 30

The bill per day = $2.807 ($84.21/30)

The kilowatt-hours per day = 20.05 kWh ($2.807/$0.14)

Thus, Luke used an average of 20.05 kilowatt-hours per day in April.

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If  n(E1 and E2) = 3 and n(E1) = 12, then  P(E2|E1) = 1/4. To find the probability P(E2|E1), given that n(E1 and E2) = 3 and n(E1) = 12, we'll use the conditional probability formula. The formula is P(E2|E1) = P(E1 and E2) / P(E1).

Step 1: Find the probabilities of the events.
P(E1) = n(E1) / total outcomes = 12 / total outcomes
P(E1 and E2) = n(E1 and E2) / total outcomes = 3 / total outcomes
Step 2: Plug the probabilities into the conditional probability formula.
P(E2|E1) = P(E1 and E2) / P(E1)

Step 3: Substitute the values from Step 1 into the formula.
P(E2|E1) = (3 / total outcomes) / (12 / total outcomes)
Step 4: Simplify the expression.
P(E2|E1) = 3/12
Step 5: Reduce the fraction to the simplest form.
P(E2|E1) = 1/4
So, the probability of event E2 occurring given that event E1 has occurred is 1/4 or 0.25.

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Answer:

d = - 1/5

Step-by-step explanation:

slope form: m= y2-y1/x2-x1

m= -5-(-7)/-6-4

m= 2/-10

m= - 1/5

Answer:

its c or 3

Step-by-step explanation:

yep

Answer:

C

Step-by-step explanation:

The smallest distance of the line to the point is of:

5.36 units.

Suppose the line is defined as follows:

ax + by + c = 0.

The coordinates of the points are as follows:

(x0,y0).

Then the shortest distance of the point to the line is:

D = |a(x0) + b(y0) + c|/sqrt(a²+b²).

In this problem, the line goes through these two points:

(2/7, 3) and (-2,11).

The slope is given by the change in y divided by the change in x, hence:

m = (11 - 3)/(-2 -2/7) = -3.5.

Then:

y = -3.5x + b.

When x = -2, y = 11, hence the intercept is calculated as follows:

11 = -3.5(-2) + b

11 = 7 + b

b = 4.

Then the line is:

y = -3.5x + 4.

3.5x + y - 4 = 0. (standard format, a = 3.5, b = 1).

The coordinates of the point are as follows:

(x0,y0) = (-3,-5).

Then the shortest distance is:

D = |3.5(-3) + 1(-5) - 4|/sqrt(3.5²+1²).

D = 19.5/sqrt(3.5²+1²).

D = 5.36 units.

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Answer:  x=2+√3. (-i)

If the discriminant is less than 0, the equation has no real solution. Looking at the graph of a quadratic equation, if the parabola does not cross or intersect the x-axis, then the equation has no real solution. And no real solution does not mean that there is no solution, but that the solutions are not real numbers. Some equations have exactly one solution. In these equations, there is only one value for the variable that makes the equation true. You can tell that an equation has one solution if you solve the equation and get a variable equal to a number.

Answer:

Slope: 5, Y-intercept: 150

Step-by-step explanation:

=> Slope = Change in y / Change in x

Change in y = +35

Change in x = +7, therefore;

Slope = 35 / 7

Slope = 5

=> Y-intercept is the y-value where x = 0, therefore;

Y-intercept = 150

Hope this helps!

Answer:

i can sill confirm it is Slope: 5, Y-intercept: 150

Step-by-step explanation:

The division of 16 - 8x - 7x² + 2x³ by x - 4 will have a quotient of 2x² + x - 4 and a remainder of 0 using synthetic division.

The procedure for synthetic division involves the following steps:

Divide.

Multiply.

Subtract.

Bring down the next term, and

Repeat the process to get zero or arrive at a remainder.

We shall rearrange 16 - 8x - 7x² + 2x³ to become 2x³ - 7x² - 8x + 16 and then divide by x - 4 as follows;

2x³ divided by x equals 2x²

x - 4 multiplied by 2x² equals 2x³ - 8x²

subtract 2x³ - 8x² from 2x³ - 7x² - 8x + 16 will give x² - 8x

x² divided by x equals x

x - 4 multiplied by x equals x² - 4x

subtract x² - 4x from x² - 8x will give us -4x + 16

-4x divided by x equals -4

x - 4 multiplied by -4 equals -4x + 16

subtract -4x + 16 from -4x + 16 will result to a remainder of 0

Therefore by synthetic division, 16 - 8x - 7x² + 2x³ divided by x - 4 is equal to the quotient of 2x² + x - 4 with a remainder of 0.

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Answer:

  9.08

Step-by-step explanation:

To find the predicted value of y, put the x-value where x is in the equation and do the arithmetic.

  \(\hat{y}=134.63-2.79x\qquad\text{given}\\\\\hat{y}=134.63-2.79(45) = 134.63-125.55\qquad\text{use 45 for x}\\\\\boxed{\hat{y}=9.08}\qquad\text{simplify}\)

Answer:

For question 1)

Line A's Gradient= -1

y=-x+5 where 5 is the y-intercept

Line B's Gradient= 1

y=x+3 where 3 is the y-intercept

By equating two equations....

-x+5=x+3

2x+3=5

2x=2

x=1

1 solution

For question 2) answer would be the first option

Step-by-step explanation:

Answer:Check Below

Step-by-step explanation:

To find the percentage of miles jogged on the treadmill, you need to divide the number of miles jogged on the treadmill by the total number of miles jogged and then multiply by 100.Miles jogged on treadmill = 12Total miles jogged = 60Percentage of miles jogged on the treadmill = (12/60) x 100% = 20%Therefore, Samantha jogged 20% of her total distance on a treadmill.

Answer:

D

Step-by-step explanation:

Factor
this is how is should be
x + 2 = 0
=> x = -2
x - 3 = 0
=> x = + 3

Answer:

To use an area model to determine the quotient of 556 and 16, we can divide a rectangle of area 556 into 16 equal parts. Each part will have an area of 556/16.

We can start by dividing 556 into 16 groups of 10 (160), and then into 16 groups of 3 (48). That leaves us with a remainder of 4.

So we have:

556 = 16 x 34 + 48 + 4

This shows that 556 can be written as 16 times some whole number (34) plus a remainder of 48 + 4/16.

Simplifying the remainder, we have:

48 + 4/16 = 48 + 1/4 = 48.25

Therefore, the quotient of 556 and 16 is:

556/16 = 34 1/4

The quotient of 556 and 16 using an area model can be determined by producing a rectangle with the total area of 556 and one side of 16. The length of the other side will be the quotient. In this case, the quotient is 34 3/4.

When asked to determine the quotient of 556 and 16 using the area model, one way to think of this is making a rectangle. The total area is 556 and one side is 16. The length of the other side will be the quotient.

Start by first estimating how many times 16 could fit into 556. Let's take 30 as an estimate, because 30*16 = 480, which is relatively close to 556. Draw a rectangle with the width of 16 and the length of 30.

Find the difference between the rectangle's area and 556. So, 556 - 480 = 76. Now, 76 is our remaining area to fill. 16 goes into 76 four more times, adding up to 64.

There is still a leftover area, which is 76-64 = 12. This is smaller than our width of 16. So, your final answer is 34 12/16 or 34 3/4 in simplest form.

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The least common denominator (LCD) of the rational expressions is (x+1)(x-1).

When adding or subtracting rational expressions, we need to find a common denominator. The least common denominator (LCD) is the smallest multiple of the denominators of the rational expressions.

To find the LCD, we follow these steps:

Let's consider an example to illustrate this process:

Example:

Find the LCD of the rational expressions:

x/(x+1) and 1/(x-1)

Step 1: Factor the denominators:

x+1 and x-1

Step 2: Identify the common factors:

There are no common factors in this case.

Step 3: Take the product of the highest powers of each common factor:

Since there are no common factors, we skip this step.

Step 4: Include any unique factors:

The unique factors are x+1 and x-1.

Step 5: Simplify the resulting expression:

The LCD is (x+1)(x-1).

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The least common denominator of the rational expressions in this problem is given as follows:

4x(x + 5).

The rational expressions for this problem are defined as follows:

9/(4x + 20), 10/(x² + 5x).

The denominators are given as follows:

The denominators can be simplified as follows:

The least common denominator is the multiplication of the unique factors, hence it is given as follows:

4x(x + 5).

The expression that completes this problem is given as follows:

9/(4x + 20), 10/(x² + 5x).

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Answers:

(b) Negative correlation.

(c) £3500

This statement is true, and if \(x^3\)  is irrational then x is also irrational. N: 2, 7, 8, 9.The proof that if \(x^3\)is irrational, then x is also irrational can be demonstrated by contradiction.

Suppose that x is a rational number, meaning that there exist integers a and b not equal to 0 such that x = a/b. Then,\(x^3 = a^3/b^3\), and since the cube of a fraction is a fraction, \(x^3\) is rational. Thus, by definition of rational, there exist real numbers c, f not equal to 0 such that\(x^3\) = c/f. Therefore, if x is rational then \(x^3\) is rational, or equivalently if\(x^3\) is irrational then x is irrational. Thus, this statement is true, and if \(x^3\) is irrational then x is also irrational. N: 2, 7, 8, 9.The proof that if \(x^3\) is irrational, then x is also irrational can be demonstrated by contradiction.

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The temperature of a point \($(x,y)$\) in the plane is given by the expression \($x^2 y^2 - 4x 2y$\) . The coldest point in the plane is\($(0,1)$\) with a temperature of\($-4$\)

To find the coldest point in the plane, we need to minimize the given expression of temperature  \($T(x,y) = x^2 y^2 - 4x 2y$\) with respect to \($x$\) and \($y$\). We can do this by taking partial derivatives of \($T$\) with respect to \($x$\) and \($y$\), and setting them equal to zero:

\($\frac{\partial T}{\partial x}\)\( = 2xy^2 - 8y= 0$\)

\($\frac{\partial T}{\partial y}\)\( = 2x^2y - 8x = 0$\)

Solving these equations simultaneously, we get \($x=0$\) or \($x=2$\) and \($y=0$\) or \($y=1$\) . We can then evaluate the temperature at each of these four points:

\($T(0,0) = 0$\)

\($T(0,1) = -4$\)

\($T(2,0) = 0$\)

\($T(2,1) = 0$\)

This makes intuitive sense as the expression for temperature is symmetric about the \($x$\) and \($y$\) axes, and the point  \($(0,1)$\) corresponds to the "bottom" of the surface formed by the expression.

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The value of a in the given polynomial division is; B: -3

When dividing polynomials, sometimes it is not perfect and would have remainders just like what we see in the question.

Now, in the polynomial division we are given;

Dividend = 24x² + 25x - 47

Divisor = ax - 2

Quotient = -8x - 3 - (53/(ax - 2))

With the knowledge of polynomial division, we can say that;

24x²/ax = -8x

Cross multiply to get;

24x² = -8ax²

divide both sides by -8x² to get;

a = -3

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Answer:

y = \(\frac{1}{2}\) x - 5

Step-by-step explanation:

Given f(0) = - 5 and f(4) = - 3 , then we have the coordinate points

(0, - 5) and (4, - 3)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (4, - 3)

m = \(\frac{-3+5}{4-0}\) = \(\frac{2}{4}\) = \(\frac{1}{2}\)

The line crosses the y- axis at (0, - 5) ⇒ c = - 5

y = f(x) = \(\frac{1}{2}\) x - 5 ← equation of line

the signed number -30 represents the change of losing $30 from Eric's pocket.

To represent the loss of $30 from Eric's pocket, we can use a negative signed number. Negative numbers are used to denote a decrease or a loss.

In this case, since Eric lost $30, we can represent this change as -30. The negative sign (-) indicates the loss or decrease, and the number 30 represents the magnitude or value of the loss.

what is number?

A number is a mathematical concept used to represent quantity, value, or position in a sequence. Numbers can be classified into different types, such as natural numbers (1, 2, 3, ...), integers (..., -3, -2, -1, 0, 1, 2, 3, ...), rational numbers (fractions), irrational numbers (such as the square root of 2), and real numbers (which include both rational and irrational numbers).

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The snellen letter chart is commonly used to test for visual acuity or clarity of vision.

The Snellen letter chart, named after the Dutch ophthalmologist Herman Snellen, is a widely used tool to assess visual acuity or clarity of vision. It consists of rows of letters or optotypes that decrease in size from top to bottom. The chart is typically displayed at a standardized distance of 20 feet (or 6 meters) from the person being tested.

When an individual reads the Snellen chart, the process involves the following steps:

1. Light enters the eye through the cornea, the transparent front surface of the eye.

2. The cornea focuses the incoming light onto the lens, which further refines the light rays.

3. The lens adjusts its shape to ensure that the light is accurately focused onto the retina, the light-sensitive layer at the back of the eye.

4. The retina contains specialized cells called photoreceptors, which convert light into electrical signals.

5. Among the photoreceptor cells, cones are primarily responsible for color vision and visual acuity. When a person focuses on a specific optotype (such as the letter "E" on the Snellen chart), the light reflecting from that optotype enters the eye and forms an image on the retina.

6. The cones in the retina, specifically in the central area called the macula, respond to the light stimulus and generate electrical signals.

7. These electrical signals are then transmitted via the optic nerve to the visual cortex in the brain for further processing and interpretation.

8. The brain processes the received signals and translates them into the perception of the letter "E" or any other optotype being viewed.

The clarity of vision is assessed by determining the smallest line of letters that can be accurately identified. The Snellen chart assigns a visual acuity measurement based on the ratio of the distance at which the chart is viewed and the distance at which a person with normal vision can read the line accurately. For example, if a person can read the 20/20 line from a distance of 20 feet, it indicates that they have normal visual acuity.

The Snellen chart is an essential tool in optometry and ophthalmology for diagnosing and monitoring vision problems such as nearsightedness (myopia), farsightedness (hyperopia), astigmatism, and other visual impairments. It helps determine the level of visual acuity and guides the prescription of corrective lenses or other treatments to improve vision.

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Answer:

A = 2(7) + (1/2)(4)(4 + 9) = 14 + 26 = 40 m²

The number of cakes, muffins, and tarts that must be made, respectively, is 65 cakes, 195 muffins, and 390 tarts.

The task is to determine the number of cakes, muffins, and tarts that need to be made for an afternoon tea event at the Awlty Towers Hotel. The owner has specified certain ratios between the quantities of tarts, muffins, and cakes, and each guest should be provided with a total of 5 pastries, regardless of the type.

Let's denote the number of muffins as M, tarts as T, and cakes as C. Based on the given information, we can establish the following equations:

1. The number of tarts should be twice the number of muffins: T = 2M.

2. The number of cakes should be 1/6 of the number of tarts: C = (1/6)T.

Since each guest should receive a total of 5 pastries, we can write the equation:

M + T + C = 5 * 130.

Substituting the values from the previous relationships, we have:

M + 2M + (1/6)T = 5 * 130.

Simplifying further:

3M + (1/6)(2M) = 650.

Multiplying through by 6 to eliminate the fraction:

18M + 2M = 3900.

Combining like terms:

20M = 3900.

Dividing by 20:

M = 195.

Now we can substitute this value back into the relationships to find the values of T and C:

T = 2M = 2 * 195 = 390,

C = (1/6)T = (1/6) * 390 = 65.

Therefore, the number of cakes, muffins, and tarts that must be made, respectively, is 65 cakes, 195 muffins, and 390 tarts.


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Answer:

Units of Measure

Volume = length x width x height.

You only need to know one side to figure out the volume of a cube.

The units of measure for volume are cubic units.

Volume is in three-dimensions.

You can multiply the sides in any order.

Which side you call length, width, or height doesn't matter.

Step-by-step explanation:

The first composite shape is a combination of a rectangular prism and a pyramid. To find the volume of the entire shape you find the volume of each individual shape and add them together.

The y -intercept in this situation mean that Jerry was given $75 for his birthday

The equation below is a linear equation.

y = 50x + 75

A linear equation is an equation that has a single variable raised to the power of 1. 50x is raised to the power of 1

75 represents the constant. This is the money he deposited in the account. 75 is the y-intercept. The y-intercept is the value of the line y when it crosses the y-axis

50x is the slope of the line. - 50 is the amount he puts in every month and x represents month.

The slope of a line also known as the gradient of the line determines the steepness and direction of a line. If the slope coefficient is less than zero, the slope is negative and it would decline from left to right

y is the dependent variable. It is the total amount he would have at the end of each month.  y depends on the constant term (75), the number of months(x) and the amount he deposits every month (50)

at the end of :

one month, he would have : 50(1) + 75 = 125

two months, he would have : 50(2) + 75 = 175

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Answer:d

Step-by-step explanation: