The x coordinate of the midpoint is the _____ the x coordinates of the endpoints.

Answer: 8/7

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 56 and 49 is 7

Divide both the numerator and denominator by the GCD

56 ÷ 7

49 ÷ 7

Reduced fraction:

8

7

Therefore, 56/49 simplified to lowest terms is 8/7.

Answer:

24

Step-by-step explanation:

you times 3 times 8 which will equal 24

Answer:

In this problem since there are no inequalities, the parentheses are used as multiplication. 3 x 8 = 24.

Step-by-step explanation:

The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Yearly deposit amount

r = Interest rate per period

n = Number of periods

In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).

Using the given formula:

2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08

Simplifying the equation:

2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08

2,000,000 = P * [10.063899 - 1] / 0.08

2,000,000 = P * 9.063899 / 0.08

Dividing both sides by 9.063899 / 0.08:

P = 2,000,000 / (9.063899 / 0.08)

P ≈ 2,000,000 / 113.298737

P ≈ 17,650.23

Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

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Suppose it is known that in a certain population of drug addicts, the mean duration of abuse is 5 years and the standard deviation is 3 years. We need to calculate the probability that a random sample of 36 individuals from this population will give a mean duration of abuse between 4 and 6 years.

We know that the sample size is large, so we can use the central limit theorem, which states that the sampling distribution of the sample mean is approximately normally distributed with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size.

A random sample of 36 individuals from this population will have a mean of 5 years and a standard deviation of 3 / sqrt(36) = 0.5 years.

To find the probability that the sample mean is between 4 and 6 years, we need to standardize the distribution using the z-score formula:

z = (x - μ) / (σ / sqrt(n))

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Answer: 1.58 meters

Step One: Subtract 1 from 3.

3 - 1 = 2.

Step Two: Subtract .42

2 - 0.42 = 1.58

Answer = 1.58

IDGAFCGF if i didnt answer the question

Answer:

The points of the new figure would be (2,1), (4,0), and (6,-4)

To make a 1.5 mg/ml solution from a 10 mg/ml stock solution, 750 µl of the stock must be taken.

To create a 1.5 mg/ml solution from a 10 mg/ml stock solution, we need to use the formula C1V1=C2V2. C1, the concentration of the stock solution, is 10 mg/ml. V1 is the volume of the stock solution, and C2 is the desired concentration, 1.5 mg/ml. V2 is the final volume, 5 ml. We can solve for V1 by rearranging the equation to V1 = (C2V2)/C1. Therefore, V1 = (1.5 x 5)/10 = 0.75 ml = 750 µl. We need to take 750 µl of the 10 mg/ml stock solution to make a 1.5 mg/ml solution with a total volume of 5 ml. To make a 1.5 mg/ml solution from a 10 mg/ml stock solution, 750 µl of the stock must be taken.

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Answer:

it is -1

Step-by-step explanation:

the actual slope form is 1/-1 so simplified is -1 because the fraction can also be a division . hope this helps

Answer:

672

Step-by-step explanation:First you need to change the percent into 12 over 100 times 600.then the result is 72.after that it says increased so you plus 600 plus 72 and that is the answer

Answer:

Please find attached the graph of the function created with MS Excel showing the relevant points required to draw an approximate graph of the function on a graph paper

Step-by-step explanation:

The given quadratic function is f(x) = -2·x² + 7·x + 4

The range of the input (x) values = -1 ≤ x ≤ 5

The coefficient of the quadratic is negative -2, the graph is n shape

The intercept form of the function is given as follows;

-2·x² + 7·x + 4 = -1 × (2·x² - 7·x - 4)

-1 × (2·x² - 7·x - 4) = -1 × (2·x² + x - 8·x - 4)

-1 × (2·x² + x - 8·x - 4) = -1 × (x · (2·x + 1) - 4·(2·x + 1))

∴ -1 × (x · (2·x + 1) - 4·(2·x + 1)) = -1 × (2·x + 1)·(x - 4)

∴ f(x) = -2·x² + 7·x + 4 = -1 × (2·x + 1)·(x - 4)

At the x-intercepts, (2·x + 1) = 0 or (x - 4) = 0, which gives;

x = -1/2 or x = 4

Therefore, the x-intercepts are (-1/2, 0), (4, 0)

The equation in vertex form is given as follows;

f(x) = -2·x² + 7·x + 4 = -2·(x² - 7·x/2 + 2)

By applying completing the squares method, to x² - 7·x/2 - 2, we get;

Where x² - 7·x/2 - 2

x² - 7·x/2 = 2

x² - 7·x/2 + (-7/4)² = 2 + (-7/4)² = 81/15

(x - 7/4)² = 81/16

∴ (x - 7/4)² - 81/16 = 0 = x² - 7·x/2 - 2

∴ x² - 7·x/2 - 2 = (x - 7/4)² - 81/16

-2·(x² - 7·x/2 + 2) = -2·((x - 7/4)² - 81/16) = -2·(x - 7/4)² + 81/8

The vertex = (7/4, 81/8)

When x = 0, we get;

f(0) = -2 × 0² + 7 × 0 + 4 = 4

The y-intercept = (0, 4)

The sketch of the function should pass through the x-intercepts (-1/2, 0), (4, 0), the y-intercept (0, 4), and the y-intercept (0, 4), and the vertex, (7/4, 81/8) on a graph sheet

Please find attached a drawing of the function of the function created with MS Excel

Answer:

I think it is -1/3

pick 2 points.

subtract y2 from y1

subtract x2 from x1

Answer:

The slope of the line on this graph would be -1/3.

Step-by-step explanation:

Slope-intercept form is y=mx+b. You find slope by taking rise over run. In this case, the rise would be 2 and the run would be 6 (-2/6). You simplify the fraction to get -1/3. Since the line falls from left to right, the slope is negative. The slope-intercept form for this problem would be -1/3x+4.

If the frame has a 400 square inch surface area, its breadth is 5 inches.

Let's call the width of the frame w.

The total width of the painting and the frame is 24 inches + 2w inches since there is a frame of width w on both sides of the painting.

Similarly, the total height of the painting and the frame is 18 inches + 2w inches, since there is a frame of width w on both the top and bottom of the painting.

The area of the frame is the difference between the area of the rectangular frame and the area of the painting. The area of the rectangular frame is (24 inches + 2w inches) * (18 inches + 2w inches) = 432 inches + 72w inches + 36w inches + 4w^2 inches. The area of the painting is 24 inches * 18 inches = 432 inches.

Therefore, the area of the frame is 432 inches + 72w inches + 36w inches + 4w^2 inches - 432 inches

= 72w inches + 36w inches + \(4w^2\) inches = 400 inches.

Combining like terms, we get \(4w^2\) inches + 108w inches = 400 inches.

Dividing both sides by 4, we get \(4w^2\) inches + 27w inches = 100 inches.

We can use the quadratic formula to solve this equation in the quadratic form:

w = \(\frac{(-b +/- sqrt(b^2 - 4ac))}{2a}\)

= \(\frac{(-27 +/- sqrt(27^2 - 4 * 1 * 100))}{2*1} \\\)

= \(\frac{(-27 +/- sqrt(729 - 400))}{2}\)

= \(\frac{(-27 +/- sqrt(329)) }{2}\)

= \(\frac{(-27 +/- sqrt(289))}{2}\)

The solutions are w =\(\frac{ (-27 + 17)}{2}\)  = -5 inches and w = \(\frac{(-27 - 17)}{2}\) = -22 inches.

Since the width of the frame must be positive, the correct solution is w = -5 inches. The frame is five inches wide.

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Thus, the x-intercept is 3 and the y-intercept is 2 for the line 2x + 3y = 6.

Given the line equation is 2x+3y=6.

To find the x and y intercepts, let x=0 and find the value of y.

Let y=0 and find the value of x.

By this method, we can find the x-intercept and y-intercept of the given line.

Given line equation is 2x+3y=6.To find the x-intercept of the given line, we assume y = 0.

So, we get 2x + 3(0) = 6.2x = 6 x = 3

Therefore, the x-intercept of the given line is 3.

To find the y-intercept of the given line, we assume x = 0.

So, we get 2(0) + 3y = 6.3y = 6 y = 2

Therefore, the y-intercept of the given line is 2.So, the x-intercept is 3 and the y-intercept is 2.

Thus, the x-intercept is 3 and the y-intercept is 2 for the line 2x + 3y = 6.

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Answer:

it's the first one.

LETTER "A"

Answer:

Step-by-step explanation:

tis A

Answer:

no

Step-by-step explanation:

x and 114° are same- side interior angles and are supplementary, then

x = 180 - 114 = 66

Answer:

9.1 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions.

We want to find x, which is opposite the angle and we know the hypotenuse.

We can use sin theta, which is the opposite side over hypotenuse.

sin theta = opp /hyp

sin 49 = x/12

12 sin 49 =x

9.05651=x

To 1 decimal place

9.1 =x

Domain of the radical function of the form f(x) = √(ax + b) + c is given by the solution of the inequality ax + b ≥ 0 and the range is the all possible values obtained by substituting the domain values in the function.

We know that the general form of a radical function is,

f(x) = √(ax + b) + c

The domain is the possible values of x for which the function f(x) is defined.

And in the other hand the range of the function is all possible values of the functions.

Here for radical function the function is defined in real field if and only if the polynomial under radical component is positive or equal to 0. Because if this is less than 0 then the radical component of the function gives a complex quantity.

ax + b ≥ 0

x ≥ - b/a

So the domain of the function is all possible real numbers which are greater than -b/a.

And range is the values which we can obtain by putting the domain values.

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I think the answer is C) 3.2 units i am sorry if i am wrong

Answer: The answer is C: 3.2 units.

Step-by-step explanation: The answer is C: 3.2 units.

Charlie jumped farther than his younger brother, by a distance of (60L + 35)/L - 81 feet.

To compare the distances that Charlie and his younger brother jumped, we need to find a common unit of measurement. We can convert the mixed numbers into improper fractions to make the calculation easier.

Charlie jumped 81/1 feet, which is the same as 81 feet.

His younger brother jumped 35/L feet and then 21 feet. We don't know the exact value of L, but we can still compare the distances by assuming L is a constant value. So, the total distance his younger brother jumped is:

35/L + 21 feet

We can simplify the expression by finding a common denominator:

(35 + 21L)/L feet

To compare the distances, we can subtract the distances jumped by Charlie and his younger brother:

81 - (35 + 21L)/L

To determine who jumped farther, we need to simplify this expression by finding a common denominator:

(81L - 35 - 21L)/L

Simplifying further:

(60L + 35)/L

We don't know the exact value of L, but we can say that if L is any positive value, then 60L + 35 is greater than 81. Therefore, Charlie jumped farther than his younger brother, by a distance of (60L + 35)/L - 81 feet.

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A. All the possible two-course selections are as follows; A. 693,695; G.  693,649; K. 649,665; B. 649,605; F. 649,695; H. 665, 605; J. 693,665; L. 695, 605; N. 693,605.

B. There is a 1 in 10 chance that these course will be selected

A. There are 10 possible combinations if she should choose 2 courses.  Here is a list of all possible two-course selections:

EPR 649 and EPR 665

EPR 649 and EPR 693

EPR 649 and EPR 695

EPR 649 and EPR 605

EPR 665 and EPR 693

EPR 665 and EPR 695

EPR 665 and EPR 605

EPR 693 and EPR 695

EPR 693 and EPR 605

EPR 695 and EPR 605

B. Based on the list of courses provided, there are 10 possible combinations of two courses that a student can select. The chance that EPR 665 and EPR 605 will be selected is 10%. This is because there are two combinations that include these two courses, and there are 10 total combinations.

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To calculate a three-month moving average for monthly forecasting, you need to follow these steps: Gather the historical data, Determine the time period, Calculate the moving average, Repeat the process.

Gather the historical data: Collect the monthly data for the specific variable you want to forecast. For example, if you want to forecast sales, gather the sales data for the past several months.

Determine the time period: Decide on the time period for your moving average. In this case, it is three months.

Calculate the moving average: Add up the values for the variable you are analyzing over the past three months and divide the sum by three to get the average. This will be your moving average value for the third month.

Repeat the process: Shift the time period by one month and calculate the moving average for the new three-month period. Continue this process for each subsequent month, updating the time period and calculating the moving average accordingly.

For example, let's say you have the following sales data for the past six months:

Month 1: 100 units

Month 2: 120 units

Month 3: 110 units

Month 4: 130 units

Month 5: 140 units

Month 6: 150 units

To calculate the three-month moving average for Month 4, you would add up the sales values for Month 2, Month 3, and Month 4 (120 + 110 + 130 = 360) and divide it by three to get an average of 120 units. Repeat this process for each subsequent month to obtain the moving average values for your forecast.

Note that the number of data points you include in the moving average calculation and the frequency of the data (monthly in this case) can be adjusted based on your specific needs and the nature of the data.

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Answer:

Rotation

Step-by-step explanation:

If that is an option

Answer:

The value of x is 5

Step-by-step explanation:

In the given figure

∵ There is a pair of linear angles, one of them = 150°

∵ The sum of the measure of the linear angles = 180°

∴ The measure of the adjacent angle to 150° = 180° - 150°

∴ The measure of the adjacent angle to 150° = 30°

In the triangle

∵ The angle of measure 12x is an exterior angle of the triangle

∵ The measure of the exterior angle at a vertex of a Δ equals the sum

   of the measures of the opposite interior angles to this vertex

∵ The measures of the opposite angles of the angle of measure 12x

   are 30 and 30

∴ 12x = 30 + 30

∴ 12x = 60

→ Divide both sides by 12

∵ \(\frac{12x}{12}\) = \(\frac{60}{12}\)

∴ x = 5

∴ The value of x = 5

Look at the attached figure for more understanding

Equation can also be used to calculate how many novels Deon needs to read in a certain amount of months. For example, if the number of months is 4, then Deon needs to read 8 novels.

An equation is a statement that expresses the relationship between two or more mathematical expressions. It is typically written in the form of an equality, such as "2x + 3 = 7", where "2x + 3" is the left-hand side and "7" is the right-hand side. Equations are used to model real-world problems and can be solved to determine the value of the unknowns within the equation.

The equation above shows that the number of novels Deon needs to read in a certain amount of months is twice the number of months. This can be graphically represented by a straight line, with a slope of 2, that passes through the origin on the graph. The graph below illustrates this equation. The x-axis represents the number of months (M) and the y-axis represents the number of novels (N). As the number of months increases, the number of novels Deon needs to read also increases, at a rate of 2 novels per month.


This equation can also be used to calculate how many novels Deon needs to read in a certain amount of months. For example, if the number of months is 4, then Deon needs to read 8 novels.

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Answer:

(J) 2,693.12

Step-by-step explanation:

The distance between the tractor and the bale at this moment is 1 meter.

To determine the distance between the tractor and the bale at the given moment, we can use the concept of relative motion.

The distance between the tractor and the bale is the difference in their positions. Since the tractor is moving at a speed of 3 m/s and the bale is rising at a speed of 2 m/s, their relative speed is the difference between the two speeds, which is 3 m/s - 2 m/s = 1 m/s.

To find the distance, we can use the formula:

Distance = Speed × Time

In this case, the relative speed is 1 m/s. Since the tractor and the bale are moving in the same direction, we can assume that their speeds are constant over the given time. Therefore, we don't need to consider the time in this calculation.

So, the distance between the tractor and the bale at this moment is 1 meter.

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Answer:

x = 10

y = 25

Step-by-step explanation:

if you add the equations as they are then the 'y-term' is eliminated:

60x = 600

x = 10

substitute x=10 to find value of 'y':

40(10) + 4y = 500

400 + 4y = 500

4y = 100

y = 25

Check:

20(10) - 4(25) should equal 100

200 - 100 = 100

100 = 100

Answer:

a). $(725 - 22t)

b). $99

Step-by-step explanation:

Expense account of the school has balance after 't' weeks = $(450 - 70t)

And fundraising account has the balance = $(275 + 48t)

a). Total amount in both the accounts after 't' weeks

    = $(450 - 70t) + $(275 + 48t)

    = $(450 + 275) + $(-70t + 48t)

    = $(725 - 22t)

b). Total amount after 8 weeks

    = $(725 - 22×8)

    = $(275 - 176)

    = $99

4 gallons

If half covers an eighth, then you need half a total if 8 times. So multiply half by 8 and you get 4.

If this helped please mark branliest