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For each increase of one unit on the x-axis (the horizontal axis), the amount on the y-axis (the vertical axis) increases by the slope of the line.

Slope is the amount of change in the y-axis that occurs as a result of a one-unit change in the x-axis. It is also known as the rise over run.

A positive slope indicates that the line rises from left to right, while a negative slope indicates that the line falls from left to right. If the slope is zero, the line is horizontal.

The slope of a horizontal line is zero, and the slope of a vertical line is undefined because the x or y coordinate does not change as the other changes.

Therefore, the slope of a line represents the amount by which the value on the y-axis increases for every increase of one unit on the x-axis

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Ray's car will use 4.68 kiloliters of gasoline and travel 39.54 kilometers

Every week, Ray fills his car with 45 liters of gasoline. To calculate the total amount of gasoline used by Ray's car over two years, we must first convert liters to kiloliters. One kiloliter is equal to 1,000 liters, so 45 liters is equal to 0.045 kiloliters. Therefore, in two years, Ray's car will use 0.045 kiloliters x 104 weeks (2 years x 52 weeks per year) = 4.68 kiloliters of gasoline.

To calculate how many kilometers the car will travel with 4.68 kiloliters of gasoline, we need to know the car's fuel efficiency rating. Assuming the car has an average fuel efficiency rating of 8.5 kilometers per liter, we can calculate that the car will travel 8.5 kilometers x 4.68 kiloliters = 39.54 kilometers with 4.68 kiloliters of gasoline.

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The standard form of the equation of the circle with center and radius of square 2 divided by 4 is (x - 1/2)² + (y + 1/2)² = 1/8.

The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

To use this formula, we first need to find the values of h, k, and r for the given circle with center and radius of square 2 divided by 4.

We know that the center of the circle is (h, k) = (2/4, -2/4) = (1/2, -1/2).

This means that h = 1/2 and k = -1/2.

The radius of the circle is r = square 2 divided by 4.

We can write this as r² = (square 2 divided by 4)² = 2/16 = 1/8.

Now we can substitute these values into the standard form equation to get:

(x - 1/2)² + (y + 1/2)² = 1/8

So the standard form of the equation of the circle with center and radius of square 2 divided by 4 is (x - 1/2)² + (y + 1/2)² = 1/8.

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Answer:

I got to #1 and #3 but I didn't finish in time and I have to leave before I can finish the other ones, my apologies. The solve and steps for 1 and 3 are below. If no one has answered the other two I can probably solve the other two later tonight!

Hope this helps!

If the amount of jen's monthly phone bill is normally distributed with a mean of $86 and standard deviation of $9, Between the values of $77 and $95 inclusive, 68.26% of Jen's phone bills are expected to fall.

To find the values between which 68.26% of Jen's phone bills lie, we need to use the properties of the normal distribution and the empirical rule.

The empirical rule states that for a normal distribution, approximately 68% of the data lie within one standard deviation of the mean. Therefore, we can find the values between which 68.26% of Jen's phone bills lie by calculating the range of values that are one standard deviation away from the mean.

Using the given population mean of $86 and population standard deviation of $9, we can calculate one standard deviation as follows:

One standard deviation = population standard deviation = $9

To find the lower and upper bounds for 68.26% of Jen's phone bills, we can subtract and add one standard deviation from the mean, respectively:

Lower bound = population mean - one standard deviation = $86 - $9 = $77

Upper bound = population mean + one standard deviation = $86 + $9 = $95

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Answer: I think It is 63.64%. If I'm wrong I'm sorry.

Step-by-step explanation:

Ask yourself what is 56% out of 88%. I did it in my head, but I got 63.6363636% then I rounded it to 63.64%.

Answer: why is it wrong

Step-by-step explanation:i said so

Step-by-step explanation:

Apply the power rule and multiply the exponents

Remember, accurate interpretation of the results is essential for the success of Laura's dissertation.

The sum of squares for the factor in Laura Van Ertia's experiment can be found in the ANOVA display. ANOVA stands for Analysis of Variance, and it is a statistical method used to compare the means of two or more groups. The sum of squares is a measure of the variation within the data, and it helps to determine whether the differences between groups are statistically significant.

In the given question, you have not provided the actual ANOVA display, which is necessary to determine the sum of squares for the factor. The ANOVA table typically consists of columns for sources of variation (such as between groups and within groups), degrees of freedom, sum of squares, mean squares, F-ratio, and p-value. The sum of squares for the factor can be found in the 'sum of squares' column corresponding to the between-group variation row.

Once you have the ANOVA display, locate the sum of squares for the factor and use it in your analysis to understand the results of the experiment and its implications on the unified theory.

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Answer:

yes

Step-by-step explanation:

The answer to 3 divided by 8 can also be written as a mixed fraction as follows: 0 3/8 Note that the numerator in the fraction above is the remainder and the denominator is the divisor.

Answer: 15.5

Step-by-step explanation:

H = A/B

= 186/12

= 15.5

The value of x in the intersected chord is 72.95 degrees.

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

The chords intercepts to form two arc angles 42.9 and 103 degrees. The inscribed angle formed by the intersected chord can be found as follows:

Therefore,

x = 1 / 2 (103 + 42.9)

x = 1 / 2 (145.9)

x = 72.95

Therefore,

x = 72.95 degrees

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Answer:

−18 x + 12

Step-by-step explanation:

multiply using the distributive property

Answer:

-2(9x-6)

-2 divided by 9x = - 18

-2 divided by - 6 = 12 (negative + negative =positive)

= - 18x +12

If a man loses 10 percent by selling his watch for 450 then the cost price of the watch would be 500.

Let's assume the cost price of a watch is 100.

So, after selling at a loss of 10 percent, the selling price of the watch is 90.

By comparing the assumed selling price of the watch with the original selling price, 450/90 = 5.

So, the original selling price is 5 times the assumed selling price.

Thus original cost price should also be 5 times of assumed cost price, so  the original cost price × 5 = 100 × 5 = 500.

Hence the original cost price of the watch is 500.

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The independent variable is whether or not a person is chatting on a cell phone in an experiment to ascertain whether or not this influences the number of driving errors they commit.

     A variable is any aspect that can be changed or changed over time.

      For example, in an experiment, a researcher can manipulate the independent variable (such as the amount of light that a plant receives) to see how it affects a dependent variable (like how much the plant grows).

     An independent variable is a variable that stands on its own and is not affected by the other variables being measured. In the given situation, the independent variable is whether or not the person is talking on a cell phone.

          The dependent variable is the variable that changes in response to the independent variable. In the given situation, the dependent variable is the number of driving errors they make.

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2. Using percentage, we can find that Melissa needs to save $34500 in order to purchase the house.

3. The project was worth 97 points.

The denominator of a percentage (also known as a ratio or fraction) is always 100.

As a percentage, "%" is read as "percent" or "percentage" in this context.

You may always "divide by 100" this percent symbol to make it into a fraction or decimal equivalent.

Here we can see that Melissa has already $2500 in her savings account.

Total cost of house = $185000

Now for the loan she needs to have 20% of the mortgage as savings.

20% of $185000

20/100 × 185000

= 37000

Now she already has $2500.

So, the amount she need to save is= $37000 - $2500

= $34500

Now, total grade Brooke received = 87.

10 points have been taken off for her mistakes.

Total worth of test = 87+10 =97points.

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To determine the most likely distribution of the colors of candies in the bag before it was opened, we can analyze the data from the table and try to find a distribution that would result in the observed frequencies.

If we add up the number of candies of each color that were pulled out by the four students, we get:

Red: 75 + 80 + 85 + 90 = 330

Blue: 45 + 55 + 60 + 50 = 210

Green: 50 + 45 + 40 + 55 = 190

Yellow: 20 + 20 + 30 + 25 = 95

Orange: 10 + 5 + 25 + 30 = 70

We can see that the most frequently pulled color was red, followed by blue and then green. This suggests that the bag may have had more red candies than the other colors before it was opened.

Looking at the answer choices, the distribution in option B (300 red, 250 blue, 200 green, 100 yellow, and 150 orange) seems to match the observed frequencies the closest, as it has the highest number of red candies. Therefore, option B is the most likely distribution of the colors of candies in the bag before it was opened.

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Correct question:

A bag of candy contained a total of 1,000 candies before it was opened. Four students each pulled out 20 candies at random and recorded the color of the candies in this table.

According to this data, which was the most likely distribution of the colors of candies in the bag before it was opened?

A. 250 red, 250 blue, 250 green, 125 yellow, and 125 orange

B. 300 red, 250 blue, 200 green, 100 yellow, and 150 orange

C. 200 red, 200 blue, 200 green, 200 yellow, and 200 orange

D. 200 red, 200 blue, 200 green, 100 yellow, and 100 orange

Answer:

First, you distribute 2(2x-1/2)

2(2x) and 2(-1/2)

Now, you have 3x-2=4x-1

Then, you move 2 to the right side by adding so you can cancel it out.

Then, you move 4x to the left side by doing the same thing with 2

Now, divide both sides by -1

The answer is C, z= -1.

3x-2=2(2x-1/2)

3x-2=4x-1

3x=4x+1

-x=1

-x/-1 = 1/-1

= x=-1

Brad needs to score between 72 and 79 on the fourth test in order to get a C for the semester.

To explain why this is so, we need to first understand how the grade for the semester is calculated.Since the final course grade depends entirely on the average of four equally weighted 100-point tests, this means that each test will count for 25% of Brad’s final grade. Therefore, Brad needs to get an average score of 70-79 (inclusive) on the four tests combined in order to get a C for the semester.

In order to calculate what range of scores Brad needs to get on the fourth test in order to get a C for the semester, we need to look at the scores he has already obtained on the first three tests. Brad has scored 87, 89 and 78 on the first three tests. This gives him a total score of 254 (87+89+78=254). This means that Brad needs to get a score of between 70 and 79 on the fourth test in order to reach a total score of between 280-309 (inclusive), which will result in an average score of between 70-79 (inclusive), and give Brad a C for the semester.

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Answer:

Step-by-step explanation:

the minimum mark the student should obtain is 32

The rate at which the surface area of the sphere is decreasing when the radius is 8 meters and decreasing at a rate of 3 m/s is approximately -192π square meters per second.

Let's start by finding the formula for the surface area of a sphere. The surface area (A) of a sphere with radius (r) is given by the formula:

A = 4πr²

Now, we need to find the rate at which the surface area is changing with respect to time (t) when the radius is 8 meters and the rate of change of radius is 3 m/s.

To find dA/dt, we need to differentiate the formula for surface area with respect to time, using the chain rule:

dA/dt = d/dt (4πr²) = 8πr (dr/dt)

Here, we have used the fact that the derivative of r² with respect to time is 2r (dr/dt) by the chain rule. Now, we can substitute the given values into the formula to find the rate of change of surface area:

r = 8 m (given)

dr/dt = -3 m/s (negative sign because the radius is decreasing)

π ≈ 3.14 (constant)

dA/dt = 8πr (dr/dt)

dA/dt = 8π(8)(-3)

dA/dt = -192π

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Answer:

biquadratic polynomial

Step-by-step explanation:

it has degree 4

Answer:

a) 6x10^-6 b) 0.000006 c) I would not be concerned

Step-by-step explanation:

a)

50% is just half and more just means added onto.

Half of 4x10^-6 is 2x10^-6

If you add that onto the original value, you will have:

6x10^-6 (standard form)

b)

0.000006 (ordinary number)

c)

I would not be concerned about the increase in probability of a side effect while using the new medicine. The probability to begin with is extremely low, almost insignificant. While the 50% increase may sound intimidating, it is just a 50% increase on a number that is already very very small. Honestly, it makes almost no difference.

The answer is 30 people. Becky can serve  30 people. (Option 4).

To find the number of people Becky can serve, we need to divide the total amount of chocolate mousse she has by the amount each person will be served.

Since Becky has 10 cups of chocolate mousse, we can convert that into the number of 1/3 cup servings by multiplying by 3, which gives us 30 servings.

Therefore, Becky can serve 30 people with the 10 cups of chocolate mousse she made.

It's important to note that an answer is a whole number, so the options of 1/30 people and 3 1/3 people are not reasonable answers. The correct answer is 30 people.

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Complete Question:

Becky made 10 cups of chocolate mousse for dessert. If she plans to serve each person 1/3 of a cup of chocolate mousse, how many people can she serve?

If a triangular pyramid has a base shaped like an equilateral triangle. its surface area is: 120.41 square feet.

To solve this problem, we can use the formula for the surface area of a pyramid:

Surface area = base area + (1/2) x perimeter of base x slant height

First, we need to find the area of the base, which is an equilateral triangle. The formula for the area of an equilateral triangle is:

Area = (square root of 3) / 4 x (side length)^2

Substituting the given values, we get:

Area = (square root of 3) / 4 x 9^2

Area = (square root of 3) x 20.25

Area = 11.06 (rounded to two decimal places)

Next, we need to find the perimeter of the base, which is simply 3 times the side length:

Perimeter = 3 x 9

Perimeter = 27

Finally, we can use the given slant height to find the surface area:

Surface area = 11.06 + (1/2) x 27 x 8.1

Surface area = 11.06 + 109.35

Surface area = 120.41 square feet (rounded to two decimal places)

Therefore, the surface area of the triangular pyramid is approximately 120.41 square feet.

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We can rewrite the right side of the equation as a power of 2 since 8 = 2^3:

(1/32)^x = (2^3)^3-x

Simplifying the right side:

(1/32)^x = 2^(9-3x)

We can write both sides using a common base, say 2:

2^(-5x) = 2^(9-3x)

Now we equate the exponents and solve for x:

-5x = 9 - 3x

-2x = 9

x = -4.5

Therefore, the solution to the equation is x = -4.5.

Answer: 36

Step-by-step explanation:

4(9/3)(2) = 36

Answer:

x(z ÷ 3)² = 36

Step-by-step explanation:

Given expression,

→ x(z ÷ 3)²

Now we have to use,

→ x = 4

→ z = 9

Let's simplify the expression,

→ x(z ÷ 3)²

→ 4(9 ÷ 3)²

→ 4 × (3)²

→ 4 × 9

→ 36 => {answer}

Therefore, the answer is 36.

Answer:

11

Step-by-step explanation:

add up the exponents

3+1+1+4+2=11

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Answer:

m = -1, c = 5

Step-by-step explanation:

Provided in the attachment.