Miguel ran 2 9 10 miles on Monday. On Friday, Miguel ran 5 times as far as he did on Monday. How much farther did Miguel run on Friday than he did on Monday? Miguel ran miles farther on Friday

Answer:

option d is the correct answer

Step-by-step explanation:

use formula for finding sum of all interior angles of regular polygon i.e. (n-2)×180 where n is no of sides of regular polygon then divide it by no. of sides of regular polygon to find measure of one angle of regular polygon and then subtract it from 180° to find the answer

Answer:

Step-by-step explanation:

Hi there... I understood your "2" as a typo and considering it as x.

       -(x - 3y = 5)

       -x + 3y = -5

Hence, the resulting equation is '4y = 2'

Hoped this helped.

\(BrainiacUser1357\)

Answer:

Step-by-step explanation:

It seems a typo:

Subtract to eliminate x and solve for y:

Now you can find the value of x:

The answer is (a) $10,000.

The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:

Total Cost = Output x ATC

Total Cost = 200 x $50

Total Cost = $10,000

Therefore, the answer is (a) $10,000.

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Answer:

The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:

Area of a semicircle = 21​πr2, where r is the radius of the circle.

Area of a trapezoid = 21​(b1​+b2​)h, where b1​ and b2​ are the bases and h is the height of the trapezoid.

Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.

Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.

Step-by-step explanation:

The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.

Option D is the correct answer.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as: 1/2 x sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The given figure can be decomposed into the following figure.

- Semicircle

- Trapezoid

- Two rectangles

Thus,

A semicircle, a trapezoid, and two rectangles.

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Answer:

2.5(2-(-6))

Step-by-step explanation:

first of all,

the difference between 2 and -6 is

2-(-6)

then product of 2.5 with this difference is

2.5× (2-(-6)=

2.5(2-(-6))

The height of the flagpole is 12.9 feet to the nearest tenth.

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

The boy is 5' 3" tall and his shadow is 4 feet.

The shadow of the flagpole is 17 feet.

The boy is 5.25 feet tall.

Let the height of the flagpole is h feet.

So,

17/h = 5.25/4

h = 68/5.25

h = 12.95

h = 12.9 to one decimal place.

Therefore, h = 12.9 to one decimal place.

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The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).

In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:

M(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

M(x, y) = [(5(2) + 4(-6))/(5 + 4)],  [(5(-11) + 4(-2))/(5 + 4)]

M(x, y) = [(10 - 24)/(9)],  [(-55 - 8)/9]

M(x, y) = [-14/9],  [(-63)/9]

M(x, y) = (-1.6, -7)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: (y-6)/3

Step-by-step explanation:

6x = 2y - 12

x = (2y - 12)/6 = (y-6)/3

(I can only put x in terms of y because you only provided one equation)

Answer: The number 8,000 represents the change in height necessary to dodge the storm.

The integer representing the altitude after passing the storm is 30,000

Use appropriate tools, draw a number line to represent the airplanes changed altitude = 34000

Step-by-step explanation:

In the picture that is attached, the diagram for this query is displayed.

We are informed that the aircraft's starting height was 30,000 feet.

A. What integer represents the airplane's change in altitude to avoid the storm.?

During the storm:

The plane flew at at altitude of 38,000 feet

We will deduct the end altitude from the starting altitude to obtain the change in altitude.

change of altitude = final altitude - initial altitude

change of altitude = 38,000 - 30,000

                               = 8,000 ft

Therefore, the integer representing the change of altitude to avoid the storm is 8,000

B. What integer represents the airplanes change in altitude immediately after passing the storm?

After the storm:

We are aware that the aircraft returned to its original height following the storm.

The number reflecting the altitude after passing the storm would be 30,000 ft given that the starting altitude is 30,000 ft.

C. Use appropriate tools, draw a number line to represent the airplanes changed altitude.​

See a picture.

Use appropriate tools, draw a number line to represent the airplanes changed altitude = 34000

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The standard deviation of the sampling distribution is called the standard error of the mean, not the median. The standard error of the median is a different measure that is used to estimate the variability of the median of a sample.

When we take a sample from a population, the values of the sample statistics, such as the mean, median, standard deviation, etc., will vary from sample to sample. The distribution of the sample statistics is called the sampling distribution.

The standard deviation of the sampling distribution of the mean is called the standard error of the mean. It is a measure of the variability of the sample means from sample to sample.

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Answer:

Graph A ,appears to decrease less

Step-by-step explanation:

In the word problem it asked us which graph seem to have "Slight Decrease"means if obeserve the graph it shows graph A.

Alex should use Graph A for the presentation as it shows the number of faulty products as a decrease on the graph

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let graph A shows the product quality with number of faulty products over the period of months

And , let graph B shows the product quality with number of faulty products over the period of months

Now , the line is decreasing in a steady manner in graph A as the number of faulty products is decreasing at a nominal rate

Hence , graph A is best for presentation

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Answer:

tomorrow i will do it i am buzy

Answer:

x° = 90°

3x° = 270°

Step-by-step explanation:

45° + 135° + x° + 3x° + 135° + 45° = 720° ( sum of the interior ∠s of hexagon)

4x° = 720° - 135° - 135° - 45° - 45°

4x° = 360°

x° = 360°/4 = 90°

therefore, 3x° = 3*90 = 270°

The height of the water in the pool is 2 meters

Volume of water in pool is 270 cubic meters

The pool is 15 meter long

The pool is 9 meters wide

Volume = length × width × height

      270= 15 × 9 × height

       270= 135 × height

       height= 270/135

       height= 2 meters

Hence the height is 2 meters

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Answer:

27.6

Step-by-step explanation:

Answer:

y=3x+2

Step-by-step explanation:

The slope-intercept form is written in y=mx+b.
An example would be y=3x+2.

You can essentially put anything here, like:

y=1.5x+6

y=6x+1.5

y=2/3x+129

The intervals of concavity for f(x) = 3 cos x, with 0 < x < 21, are (0, π/2) and (3π/2, 2π).

To find the intervals of concavity for f(x) = 3 cos x, we need to analyze the second derivative of the function.

First, let's find the second derivative of f(x):

f'(x) = -3 sin x (derivative of cos x)

f''(x) = -3 cos x (derivative of -3 sin x)

Now, we can analyze the concavity of f(x) by considering the sign of the second derivative:

When x ∈ (0, π/2): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

When x ∈ (π/2, 3π/2): In this interval, cos x < 0, so f''(x) > 0. The second derivative is positive, indicating concavity upwards.

When x ∈ (3π/2, 2π): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

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Mark is 12 years old now,in 4 years time he will be 16.

Let Mark's present age be m years and Jane's present age be n years.

10 years ago, Jane was twice as old as Mark is now.

So, we get an equation

n - 10 = 2m               ...........(1)

In two years Jane will be three times as old as Mark is now.

So, we get an equation

n + 2 = 3m                   ............(2)

We need to find Mark's age after 4 years.

From equation (1),

n = 2m + 10                 .........(3)

Substitute the value of n in equation (2),

(2m + 10) + 2 = 3m

2m + 12 = 3m

m = 12

After 4 years Mark's age would be,

m + 4 = 12 + 4

         = 16 years

Therefore, in 4 years time Mark will be 16.

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Answer:

Hi there!

Your answer is:

Median: 23.5

Mean: 25

Step-by-step explanation:

The mean is the average of all the numbers in your dataset. You determine this by adding all the numbers together and dividing by the # of numbers in your set!

35+28+19+18 = 100.

100/4 = 25

The median is the middle number of your data set! This is determined by counting off the numbers from each side of the equation after setting them in order from least to greatest. If there are 2 remaining, you must find the average of those!

35 , 28, 19 , 18 from least to greatest is

18, 19, 28, 35

/. /

Now find the average of 19 and 28!

19+28 = 47

47/2 = 23.5

Answer:

Step-by-step explanation:

Find the median and mean of the data set below:29,39,28,5029,39,28,50

Answer: 55

Step-by-step explanation: 55 - 25 = 30

just subtract all the answers by 25 and try to find something lower then 31

You are a district sales manager at the sales target for your team 135,000 per month. Your team's annual sales target is $1,620,000.

To calculate the annual sales target for your team, you need to multiply the monthly target by 12 (the number of months in a year):

Annual sales target = Monthly sales target x 12

Given that the monthly sales target for your team is $135,000, the annual sales target would be:

Annual sales target = $135,000 x 12

= $1,620,000

A Sales Manager is a professional responsible for managing a team of sales representatives within a specific geographic area or district. The role typically involves setting and achieving sales targets, developing and implementing sales strategies, and managing relationships with key customers.

Sales Managers are responsible for recruiting, training, and supervising sales staff, as well as monitoring their performance and providing coaching and guidance as needed. They also work closely with other departments within the organization, such as marketing and finance, to ensure that sales goals are aligned with overall business objectives. They must possess strong leadership and communication skills, as well as a deep understanding of their company's products or services and the competitive landscape in which they operate.

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Complete Question:-

You are a district sales manager at the sales target for your team 135,000 per month ? What is your annual sales?

The solution to the given differential equation is y(0.2) = 1.1188.

To solve the given differential equation dy/dt = √(x² + y) with the initial condition y(0) = 0.8, we can use the numerical method known as the Euler's method.

The Euler's method approximates the solution by taking small steps of size h in the independent variable (t) and approximating the derivative at each step.

Given that the range is x = 0.2 da to a = 0.2 with a step size of h = 0.2, we can start at x = 0.2 and compute the values of y at each step.

Let's perform the calculations step by step:

Step 1:

x₀ = 0.2, y₀ = 0.8

Step 2:

x₁ = x₀ + h = 0.2 + 0.2 = 0.4

y₁ = y₀ + h * √(x₀² + y₀) = 0.8 + 0.2 * √(0.2² + 0.8) = 0.8 + 0.2 * √(0.04 + 0.64) = 0.8 + 0.2 * √0.68 ≈ 0.8843

Step 3:

x₂ = x₁ + h = 0.4 + 0.2 = 0.6

y₂ = y₁ + h * √(x₁² + y₁) = 0.8843 + 0.2 * √(0.4² + 0.8843) = 0.8843 + 0.2 * √(0.16 + 0.7811) = 0.8843 + 0.2 * √0.9411 ≈ 0.9624

Step 4:

x₃ = x₂ + h = 0.6 + 0.2 = 0.8

y₃ = y₂ + h * √(x₂² + y₂) = 0.9624 + 0.2 * √(0.6² + 0.9624) = 0.9624 + 0.2 * √(0.36 + 0.9259) = 0.9624 + 0.2 * √1.2859 ≈ 1.0394

Step 5:

x₄ = x₃ + h = 0.8 + 0.2 = 1.0

y₄ = y₃ + h * √(x₃² + y₃) = 1.0394 + 0.2 * √(0.8² + 1.0394) = 1.0394 + 0.2 * √(0.64 + 1.0799) = 1.0394 + 0.2 * √1.7199 ≈ 1.1188

The solution to the given differential equation for the range x = 0.2 da to a = 0.2, with a step size of h = 0.2, is approximately:

y(0.2) ≈ 1.1188.

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Answer:

what the question or were is it

Step-by-step explanation:

Answer:

i dont see an question

Step-by-step explanation:

The expressions that can be used to describe how many milligrams of vitamin C are in the salad are:

(Choice A) 200b + (300s + 42d)

(Choice E) 300s + 200b + 42d

So, the correct answers are A and E.

The milligrams of vitamin C in the salad can be determined by considering the quantities of spinach, berries, and dressing used in the salad, along with their respective vitamin C content.

In the given scenario, the salad includes 300 milliliters (mL) of spinach, 200 mL of berries, and 42 mL of dressing. The vitamin C content is measured in milligrams per milliliter (mg/mL), with values denoted as s for spinach, b for berries, and d for dressing.

To calculate the milligrams of vitamin C in the salad, we can use the expressions provided:

(Choice A) 200b + (300s + 42d)

(Choice E) 300s + 200b + 42d

In Choice A, the expression 200b represents the milligrams of vitamin C in the berries, while (300s + 42d) represents the combined vitamin C content of spinach and dressing.

In Choice E, the expression 300s represents the milligrams of vitamin C in the spinach, 200b represents the milligrams of vitamin C in the berries, and 42d represents the milligrams of vitamin C in the dressing.

By substituting the respective values of s, b, and d into either expression, we can calculate the total milligrams of vitamin C in the salad.

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Answer:

The slope is 2/3 and the intercept is ( 0 , 6 )

sorry if I am wrong

Answer:

B. 5

Step-by-step explanation:

Step 1: Rewrite the equation a bit

\(\frac{7^\frac{3}{4}}{7^\frac{x}{8}}=\sqrt[8]{7}\\7^\frac{3}{4}^-^\frac{x}{8}=7^\frac{1}{8}\)

Step 2: Place a logarithm base 7 on both sides

\(7^\frac{3}{4}^-^\frac{x}{8}=7^\frac{1}{8}\\log_77^\frac{3}{4}^-^\frac{x}{8}=log_77^\frac{1}{8}\\(\frac{3}{4}-\frac{x}{8})log_77=\frac{1}{8}log_77\\(\frac{3}{4}-\frac{x}{8})1=\frac{1}{8}1\\\frac{3}{4}-\frac{x}{8}=\frac{1}{8}\)

Step 3: Solve for x

\(\frac{3}{4}-\frac{x}{8}=\frac{1}{8}\\\frac{6}{8}-\frac{x}{8}=\frac{1}{8}\\-\frac{x}{8}=-\frac{5}{8}\\\frac{x}{8}=\frac{5}{8}\\x=5\)

Neat exponent question :)

The nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.

Given the 13th unit requires 87 minutes and 26th unit requires 64 minutes.To find the estimated time required by the 50th unit, we need to use the equation of the linear equation of the line.Let's find the value of m (slope).`m = (64 - 87)/(26 - 13)m = -23/13`Let's find the value of b (y-intercept).`b = 87 - (-23/13) × 13b = 87 + 23b = 110`

Therefore, the equation of the line can be written as:y = -23/13 x + 110Let's substitute the value of x as 50 and find the value of y (time required by the 50th unit).`y = -23/13 × 50 + 110y = 47.31`Rounded to the nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.

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The value of c for which the area enclosed by the curves is equal to 112 is given by c=42/(3√2 - 1).

Now, For the value of c for which the area enclosed by the curves y=c−x² and y=x²−c is equal to 112, we need to set up an integral to find the area and then solve for c.

First, we need to find the x-coordinates of the points where the two curves intersect. Setting the two functions equal to each other, we get:

c-x² = x²-c

Solving for x, we get:

x = ±√(c/2)

Note that the two curves intersect at the origin (0, -c) and at the points (√(c/2), c/2) and (-√(c/2), c/2).

To find the area enclosed by the curves, we need to integrate the difference between the two functions over the appropriate interval.

Since the curves intersect at the origin, we can integrate over the positive x-axis and double the result to get the total area:

A = 2∫[0, √(c/2)] [(c-x²) - (x²-c)] dx

Simplifying the integrand, we get:

A = 4∫[0, √(c/2)] (c-2x²) dx

Integrating, we get:

A = 4[cx - (2/3)x³](0 , √(c/2))

A = 4(c√(c/2) - (2/3)(c/2)√(c/2))

A = 2√2c√c - (2/3)c√c

Setting this expression equal to 112 and solving for c, we get:

2√2c√c - (2/3)c√c = 112

Multiplying both sides by 3/√c, we get:

6√2c - 2c = 336/√c

2c(3√2 - 1) = 336/√c

c = (336/√c)/(2(3√2 - 1))

Simplifying, we get:

c = 42/(3√2 - 1)

Therefore, the value of c for which the area enclosed by the curves is equal to 112 is given by c=42/(3√2 - 1).

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The given quadratic equation does not have a real solution.

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

The given quadratic equation is,

4a² + 6 = 0

We have to find the solution of the quadratic equation.

Subtracting both sides by 6,

4a² + 6 - 6 = 0 - 6

4a² = -6

a² = -6/4

a² = -3/2

Taking square root on both sides,

a = √(-3/2), which implies that the given quadratic equation does not have a real solution.

Hence there are no real solution for the given equation.

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