Use the graph.

What is the slope of the line?
A. –2
B. -1/2
C. 1/2
D. 2

a. The slope of a line that is parallel to y = 3/5x + 7 is: 3/5.

b. The slope of a line that is perpendicular to y = 3/5x + 7 is: -5/3.

Given a line is represented by the equation, y = 3/5x + 7, the slope (m) of the line is 3/5.

Any line that is parallel to y = 3/5x + 7 will have a slope (m) = 3/5 [same slope value].

On the other hand, any line that is perpendicular to y = 3/5x + 7 will have a slope of -5/3 [negative reciprocal].

Therefore:

a. The slope of a line that is parallel to y = 3/5x + 7 would be: 3/5.

b. The slope of a line that is perpendicular to y = 3/5x + 7 would be the negative reciprocal of 3/5, which is: -5/3.

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Answer:

f(x)+41 f(-10)=7

Step-by-step explanation:

Answer:

Step-by-step explanation:

To express the confidence interval 0.039 < p < 0.479 in the form p ± E, we need to find the midpoint of the interval and half of the width.

The midpoint of the interval is the average of the lower and upper bounds:

Midpoint = (0.039 + 0.479) / 2 = 0.259

The width of the interval is the difference between the upper and lower bounds:

Width = 0.479 - 0.039 = 0.44

Half of the width is obtained by dividing the width by 2:

Half Width = 0.44 / 2 = 0.22

Therefore, the confidence interval 0.039 < p < 0.479 can be expressed as:

p ± E = 0.259 ± 0.22

So, the correct option is:

D. 0.259 ± 0.22

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Answer:

A teacher made a copy of a map. To make the map easier to see, the teacher enlarged the area of the map by 38%. Let d represent the area of the original map. The expression d + 0.38d is one way to represent the area of the new map. Write two expressions that represent the area of the new map.​

Step-by-step explanation:

The equivalent equation to the (x² - 5)² - 3x² + 15 = -2 in form of 'm' is given by option c.  m² -3m + 2 = 0.

The equation is equal to,

(x² - 5)² - 3x² + 15 = -2

let the value of m be equals to x² - 5.

Simplify the equation we have,

⇒ ( x² - 5 )² - 3x² + 15 = -2

Take '3' common factor from the 3x² + 15 so that it get convert into x² - 5 we get,

⇒ ( x² - 5 )² - 3 (x² - 5 )  = -2

Now replace x² - 5 by m to get the equivalent equation,

⇒ ( m )² - 3 (m ) = -2

⇒ m² -3m + 2 = 0

Therefore, the equivalent equation to the given equation is written as option c.  m² -3m + 2 = 0.

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Answer:It is A

Step-by-step explanation: 2.56÷4

Hope that helps!!

Answer:

B

Step-by-step explanation:

3(d+2)-12d-2

3d+6-12d-2

3d+6-12-2

3d+4-12d= -9+4

Step-by-step explanation:

(gof)(x) is basically g(f(x))

= 4 × (3x - 1)² + 9

= 4 × (9x² - 6x + 1) + 9

= 36x² - 24x + 4 + 9

= 36x² - 24x + 13

The area of the shaded circle is given as follows: 84.82 cm².

The area of a circle of radius r is given by pi multiplied by the radius squared, as given by the formula presented next:

\(A = \pi r^2\)

In this problem, we have that the important data is given in the bullet-points as follows:

Hence the shaded area in cm² can be found a applying the formula given at the beginning of this problem, as is presented below:

\(A = 0.75\pi \times 6^2 = 84.82\)

The multiplication by 0.75 happened because as stated in the bullet point, the shaded area corresponds to only 75% of the entire circle.

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Answer:

\(A_4 = 170\ in^2\)

Step-by-step explanation:

Given

\(Diameter = 18\ in\)

\(Slices = 6\)

\(Eaten = 2\)

Required

Determine the area of the discarded part

First, calculate the area of the pizza.

\(Area = \frac{\pi D^2}{4}\)

Substitute 18 for D and 3.14 for \(\pi\)

\(Area = \frac{3.14 *18^2}{4}\)

\(Area = \frac{1017.36}{4}\)

\(Area = 254.34\)

If he eats 2 out of the 6 slices, then it means he discarded 4 out of the 6.

So, the area of the 4 is:

\(A_4 =\frac{4}{6} * Area\)

\(A_4 =\frac{4}{6} * 254.34\)

\(A_4 =\frac{4* 254.34}{6}\)

\(A_4 =\frac{1017.36}{6}\)

\(A_4 =169.56in^2\)

\(A_4 = 170\ in^2\) -- approximated

The area of the discarded is 170 square inches

The standard error for the sample proportion is 0.014.

The standard error for a sample proportion is a measure of the variability or uncertainty in estimating the population proportion based on a sample. It is calculated as the square root of the product of the sample proportion and its complement, divided by the sample size. In this case, the sample proportion is 0.79 (or 79%), which represents the proportion of students who prefer online resources. The complement of the sample proportion is 1 - 0.79 = 0.21 (or 21%), which represents the proportion of students who prefer printed materials. The formula to calculate the standard error for the sample proportion is:

Standard Error = √((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size.

Plugging in the values, we have:

Standard Error = √((0.79 * 0.21) / 540) = 0.014

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The volume of cylindrical tin is 1584 \(cm^3\). The depth of the oil in the tin is 9cm.

\(V_1 =\) VOLUME OF CYLINDRICAL TIN

   \(= \pi r^2 h\)

  \(=\frac{22}{7}\) x 6 x 6 x 14

  = 44 x 36

  = 1584 \(cm^3\)

\(V_2 =\) VOLUME OF RECTANGULAR TIN

    = lbh = 1584

    = (16)(11)(h) = 1584

    = 176h =1584

    = h = 1584 / 176

    = h = 9 cm

A cylinder is a three-dimensional shape that consists of a circular base and a curved surface that extends upward to meet at a point known as the apex. The volume of a cylinder is the amount of space occupied by the shape and is given by the formula V = πr²h, Once we have calculated the area of the circular base, we can multiply it by the height of the cylinder to get the volume.

To calculate the volume of a cylinder, we need to know its dimensions, which are the radius and height. The radius is the distance from the center of the circular base to the edge, while the height is the distance between the two circular bases.

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The variable "Gallons of water in a swimming pool" is a quantitative variable.

Quantitative variables are variables that are numerical and can be measured on a scale, such as height, weight, or time. In this case, the number of gallons of water in a swimming pool can be measured and can take any value within a range, such as 0 to 100,000 gallons. Therefore, "Gallons of water in a swimming pool" is a quantitative variable.

In contrast, qualitative variables are variables that describe an attribute or characteristic of a person, place, or thing, and they do not have a numerical value. Examples of qualitative variables include hair color, religious affiliation, or nationality.

"

Complete question

Determine whether the variable is qualitative or quantitative. explain your reasoning.

Variable: Gallons of water in a swimming pool

"

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Answer:

Step-by-step explanation:

let number be x

x+3x

Answer:

the anwser is 45

Step-by-step explanation:

Answer:

x is equal to 2

Step-by-step explanation:

simplify the equation

distribute the 0.3

0.3*4-0.3x=x-1.4

1.2-0.3x=x-1.4

get x by itself on one side

1.2+1.4=x+0.3x

simplify

2.6=1.3x

2=x

The volume of the larger cone is equal to the total volume of the two smaller cones

From the question, we have two equal cylinders.

This means that the cylinders have equal volume.

From the complete question, a large cone is placed in one of the cylinders, while two small cones are placed in the other.

Since the cylinders have equal volumes, then the volume of the large cone equals the sum of the volumes of the smaller cones.

Hence, the volume of the larger cone is equal to the total volume of the two smaller cones

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Answer: The answer to what is the measure of angle x is 48°.

Step-by-step explanation: It’s because this angle is complementary Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. Example: 5° and 85° are complementary angles.

48°+42°=90° and this is a right scalene triangle.

Based on the information given regarding the comparative advantage, the number of hours will be 96 hours.

From the complete question, Gwen will write music for 0 songs because she has comparative advantage in lyrics. Paul will write music for 8 songs because he has a comparative advantage in music.

The extra time required for Paul will be:

= 12 × 2 = 24 hours.

Therefore, the total time that will be required will be:

= 72 + 24 = 96 hours.

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Answer:

X is 3

Step-by-step explanation:

15-x=12

X=15-12

X=3

Answer:

Option C. r = (27 – P)/3P

Step-by-step explanation:

The following data were obtained from the question:

A = 27

t = 3

r =?

А = P(1 + rt)

With the above formula, we can obtain the value of r as follow

А = P(1 + rt)

27 = P(1 + 3r)

Divide both side by P

27/P = 1 + 3r

Subtract 1 from both side

27/P – 1 = 1 – 1 + 3r

27/P – 1 = 3r

(27 – P)/P = 3r

Divide both side by 3

r = (27 – P)/P ÷ 3

r = (27 – P)/P × 1/3

r = (27 – P)/3P

Answer:

z is equal to -0.88235294117

Step-by-step explanation:

so you first need to do is z minus 16z which is -17z.

you now have -17z is 15

you need to divide each side by -17z

so -17z divided by -17 is 1 z

and 15 divided by -17 is -0.88235294117

so z is equal to -0.88235294117

Hey there!

z - 16z = 15

-15z = 15

DIVIDE -15 to BOTH SIDES

-15z/-15 = 15/-15

CANCEL out: -15/-15 because that gives you 1

KEEP: 15/-15 because gives you the result of the z-value

SIMPLIFY IT

z = -1

Answer: z = -1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The given data can be entered into an Excel sheet as shown below: Excel Sheet Given data can be used to create a chart in Excel as shown below: Excel Chart The above chart shows the sales data for the year 1992. As it can be observed from the chart, the sales

Then the sales decreased and remained constant for the remaining months. Based on the given data, the sales increased from January to May, with the highest sales in May. Then the sales decreased and remained constant for the remaining months. The chart shows the sales data for the year 1992. To create an Excel sheet: Step 1: Open Excel and select a new blank workbook.

Step 2: Enter the headings Month and Total Sales in cell A1 and B1, respectively. Step 3: Enter the months from January to November in column A from cells A2 to A12.Step 4: Enter the sales data for each month in column B, from cells B2 to B12.Step 5: Once the data is entered, select cells A1:B12.Step 6: Click on Insert from the menu bar and select the appropriate chart type. Step 7: A chart is created based on the data entered, which can be formatted as required. To create the chart: Step 1: Select the data to be included in the chart. Step 2: Click on Insert from the menu bar and select the appropriate chart type. Step 3: Once the chart is inserted, it can be formatted as required. To edit the chart: Step 1: Click on the chart to select it. Step 2: Click on Chart Tools from the menu bar. Step 3: The chart can be edited using the various options available under Chart Tools.

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The correct answer is C. A family may own both a minivan and an SUV. The events are not disjoint, so the addition rule does not apply.

The addition rule of probability states that if two events are disjoint (or mutually exclusive), meaning they cannot occur simultaneously, then the probability of either event occurring is equal to the sum of their individual probabilities. However, in this case, owning a minivan and owning an SUV are not mutually exclusive events. It is possible for a family to own both a minivan and an SUV at the same time.

When using the addition rule, we assume that the events being considered are mutually exclusive, meaning they cannot happen together. Since owning a minivan and owning an SUV can occur together, adding their individual probabilities will result in double-counting the families who own both types of vehicles. This means that simply adding the percentages of families who own a minivan (53%) and those who own an SUV (24%) will overestimate the total percentage of families who own either a minivan or an SUV.

To calculate the correct percentage of families who own either a minivan or an SUV, we need to take into account the overlap between the two groups. This can be done by subtracting the percentage of families who own both from the sum of the individual percentages. Without information about the percentage of families who own both a minivan and an SUV, we cannot determine the exact percentage of families who own either vehicle.

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The amount paid for the computer including sales tax is 0.918p

The price paid is given as:

Price = p

A 15% off means that he pays 85%.

So, we have:

Amount = 85% * p = 0.85p

A sales tax of 8% means:

Total = 0.85p * (1 + 8%)

Evaluate the product

Total = 0.918p

Hence, the amount paid is 0.918p

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Answer: 6 apple pies and 4 shoo-fly pies were made.

Step-by-step explanation:

Let's assume the number of apple pies made is A, and the number of shoo-fly pies made is S.

We know that there were 8 slices in each apple pie, so the total number of apple pie slices would be 8A. Similarly, the total number of shoo-fly pie slices would be 10S.

We also know that the total number of slices available was 84. So we can write an equation:

8A + 10S = 84

We have two unknowns and only one equation, so we need another equation to solve for A and S. We know that the siblings made a total of 10 pies. So we can write another equation:

A + S = 10

Now we have two equations and two unknowns, so we can solve for A and S. We can use substitution to eliminate one variable:

A + (10 - A) = 10

10 = 2A + 10

2A = 0

A = 0

This is obviously not the solution we're looking for, so there must be an error in our calculations. Let's check our first equation:

8A + 10S = 84

If A = 0, then we have:

10S = 84

S = 8.4

This is also not a valid solution since we can't make 8.4 shoo-fly pies. The mistake we made was assuming that both A and S were whole numbers. We can fix this by using another equation:

A + S = 10

We know that A and S are both whole numbers and that A + S = 10. The only pairs of whole numbers that add up to 10 are (1, 9), (2, 8), (3, 7), (4, 6), and (5, 5).

Let's try each pair and see which one gives us a valid solution:

(1, 9): 8(1) + 10(9) = 98 (not 84)

(2, 8): 8(2) + 10(8) = 96 (not 84)

(3, 7): 8(3) + 10(7) = 94 (not 84)

(4, 6): 8(4) + 10(6) = 92 (not 84)

(5, 5): 8(5) + 10(5) = 90 (not 84)

None of the pairs work, which means there is no valid solution that uses whole numbers for A and S.

However, we can use decimals to get a solution that's close to the desired number of slices. Let's try (4.2, 5.8):

8(4.2) + 10(5.8) = 84.4 (close to 84)

This means that the siblings made 4.2 apple pies and 5.8 shoo-fly pies. Since we can't make a fraction of a pie, we'll round up the number of apple pies and round down the number of shoo-fly pies:

4 apple pies and 5 shoo-fly pies would give us a total of 8(4) + 10(5) = 84 slices, which is the desired number.

Answer:

Domain is all the x values while range is all the y values. Im not sure if you're supposed to tell you how to do it or do it for you so... good luck

Step-by-step explanation:

Answer:

domain: [-1, infinity)

range: ( - infinity, 1]

Step-by-step explanation:

the domain is the set of x values in a function and range is the y values.

If the faculty went on a weight watchers diet plan and now weight an average of 185 pounds in 2021.  The faculty's average weight loss per year : 185 pounds and 155 pounds.

First step is to find the difference between the initial weight and the final weight

Difference = Initial weight - Final weight

Difference = 215 pounds - 185 pounds

Difference = 30 pounds

Now let find the lost per year

2018

Lost per year = 215 pounds - 30 pounds

Lost per year = 185 pounds

2021

Lost per year = 185 pounds - 30 pounds

Lost per year = 155 pounds

Therefore the loss is 185 and 155 pounds.

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