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The amplitude of the trigonometric function is found as 4.5.

The trigonometric functions are described as those real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

When we refer to the graph, it is found to  intersect the midline at (1.25, -2.75),

We know that the minimum value of the function is 6.25 units below the midline.

Therefore, we can then define  amplitude of the function as the half the distance between the maximum and minimum values.

Amplitude = (maximum - minimum) / 2

Amplitude = (2.75 + 6.25) / 2

Amplitude = 4.5

We then can conclude that the  graph of a trigonometric function. that intersects its midline at (1.25, -2.75), and it has a minimum point at (4.75, -6.25) is 4.5.

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1967.64 is the value of the given expression.

We must carry out the division operation in the following manner in order to assess the expression:

26,091 ÷ 13.26

= 1967.64

As a result, the expression has a value of 1967.64.

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The value of p(√3) is 9 - 4√3. So, the correct answer is option C.

The given function is p(m) = 2m² - 4m + 3. We need to find the value of p(√3).

To find this, we substitute m = √3 in the expression for p(m):

p(√3) = 2(√3)² - 4(√3) + 3

= 2(3) - 4(√3) + 3

= 6 - 4√3 + 3

= 9 - 4√3

Therefore, the value of p(√3) is 9 - 4√3. So, the correct answer is option C.

Answer:

Multiply by 2

Step-by-step explanation:

3×2=6

5×2=10

8×2=16

11×2=22

50×2=100

The three students have read a total of 950 pages combined.

To find out how many pages the three students have read combined, we need to add up the number of pages read by each student.

Let's label the students as A, B, and C and the number of pages they have read as a, b, and c, respectively. According to the given information, we have:

a = 350

b = 305

c = 295

To find the total number of pages read by all three students, we need to add up a, b, and c:

a + b + c = 350 + 305 + 295 = 950.

To find the total number of pages read by the three students, we need to add up the number of pages read by each student. This can be done by simply adding the values of a, b, and c. In this case, the total number of pages read by all three students is 950.

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The probability that a randomly selected exam will have a score of at least 71 is 0.7823

To solve this problem, we need to use the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. We can standardize the given distribution using the formula

z = (x - μ) / σ

where:

x = the score we're interested in (71 in this case)

μ = the mean of the distribution (78)

σ = the standard deviation of the distribution (9)

Substituting the values, we get

z = (71 - 78) / 9 = -0.78

We want to find the probability that a randomly selected exam will have a score of at least 71, which is the same as finding the probability that a randomly selected exam will have a score less than 71. We can use a standard normal distribution table or calculator to find this probability.

Using a standard normal distribution table, we look up the probability of z = -0.78 and subtract it from 1 (since we want the probability of a score less than 71)

P(z < -0.78) = 1 - 0.2177 = 0.7823

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The given question is incomplete, the complete question is:

Scores on a recent national statistics exam were normally distributed with a mean of 78 and a standard deviation of 9. (you may need to use the appropriate appendix table or technology to answer this question.) (a) what is the probability that a randomly selected exam will have a score of at least 71?

Answer:

Step-by-step explanation:

Using the slope and y-intercept, the linear relationship is y = 512x

To find the equation of the linear relationship, we can proceed to use the formula of equation of a straight line. This is given as y = mx + c

The equation of a straight line is given as y = mx + c

Taking two points from the table;

(2, 512) and (15, 3840)

m = y₂ - y₁ / x₂ - x₁

m = 3840 - 512 / 15 - 2

m = 256

Using the slope to find the y - intercept;

y = mx + c

512 = 256(2) + c

512 = 512 + c

c = 512 - 512

c = 0

The equation of line is y = 512x

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Answer:

the volume of the cylinder is approximately 538.2 ft³.

Step-by-step explanation:

To find the surface area and volume of the cylinder, we can use the following formulas:

Surface area = 2πr² + 2πrh

Volume = πr²h

Given that the radius is 3.5 ft and the height is 14 ft, we can substitute these values into the formulas:

Surface area = 2π(3.5)² + 2π(3.5)(14)

Surface area = 2π(12.25) + 2π(49)

Surface area = 24.5π + 98π

Surface area = 122.5π

Surface area ≈ 385.8 ft² (rounded to the nearest tenth)

Volume = π(3.5)²(14)

Volume = π(12.25)(14)

Volume = 171.5π

Volume ≈ 538.2 ft³ (rounded to the nearest tenth)

Therefore, the surface area of the cylinder is approximately 385.8 ft² and the volume of the cylinder is approximately 538.2 ft³.

Answer:

Slope = 2

Y - intercept = (0, -12)

Step-by-step explanation:

I did the quiz!

Approximately 330.7 grams of the element remain after 8 minutes.

We can use the exponential decay formula to solve this problem

A = A0 * [tex](1-r)^{t}[/tex]

Where A0 is the initial amount, r is the decay rate (expressed as a decimal), t is the time elapsed, and A is the amount remaining.

In this problem, we have

A0 = 640 grams

r = 0.073 (since the element decays by 7.3% per minute, the decay rate is 0.073 per minute)

t = 8 minutes

Plugging these values into the formula, we get

A = 640 * [tex](1 - 0.073)^{8}[/tex]

A = 640 * 0.516289

A = 330.65136

Rounding this to the nearest tenth of a gram, we get

A ≈ 330.7 grams

Therefore, approximately 330.7 grams of the element remain after 8 minutes.

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The length of segment BC is 4 units.

Given that AC = 3 units and CE = 2 units.

We draw the radii AB and AD.

The figure now becomes

So the radius AE = 3 + 2 = 5 units

Since radii of a circle are same in length.

So, AB = AD = AE = 5 units.

We know that the radius divides chord other than diameter in equal length and cuts it at right angle.

So now angle ACB of triangle ABC is 90 degrees. So, triangle ABC is a right angled triangle.

Height = 3 units and Hypotenuse = 5 units

By Pythagoras Theorem,

Height² + Base² = Hypotenuse²

3² + BC² = 5²

BC² = 5² - 3² = 25 - 9 = 16

BC = 4 units.

Hence the length of segment BC is 4 units.

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The drawing's scale factor is 7/36, which is a simplified fraction.

The scale factor of Kevin's drawing is the ratio of the length in the drawing to the actual length. We are given that the scale he used was 7 inches = 1 yard. Since 1 yard is equal to 3 feet, which is equal to 36 inches, we can write:

1 yard = 36 inches

Therefore, the scale factor is:

drawing length / actual length = 7 inches / 36 inches

Simplifying, we get:

drawing length / actual length = 7/36

Therefore, the drawing's scale factor is 7/36, which is a simplified fraction

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The amount of water you should pack per person when hiking is 2 liters.

option B.

Hiking is a type of exercise usually performed outdoor and it involves walking on trails or paths, typically in natural environments such as forests, mountains, or wilderness areas.

Both children and adult can preform hiking.

A general rule of thumb suggest that you should pack at least 2 liters of water per person per day for moderate hiking in moderate temperatures.

Some rules suggests 2 cups for adult (about 1/2 liter) and Children about 1-2 cups of water for every hour of hiking.

So based on the given options, we can choose 2 liters pack per person when hiking.

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The measure of side JG is approximately 115 units in the quadrilateral GHIJ.

What is quadrilateral ?

A quadrilateral is a four-sided polygon, which means it is a closed figure with four straight sides. The word "quadrilateral" comes from the Latin words "quadri," which means "four," and "latus," which means "side."

Since quadrilateral CDEF is similar to quadrilateral GHIJ, the corresponding sides are proportional.

Let x be the length of side JG. Then we have:

JG/DE = HI/CF

Substituting the given values, we get:

x/57.5 = 40/20

Simplifying, we get:

x = (57.5 * 40)/20 = 115

Therefore, the measure of side JG is approximately 115 units.

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The graph that can be used to approximate the number of years it will take for the plate's value to be $30 is given as follows:

First graph.

The exponential function giving the value of the plate after x years is given as follows:

f(x) = 18(1.05)^x.

The value of the plate will be of $30 when f(x) = 30, hence the time x is obtained as follows:

18(1.05)^x = 30

(1.05)^x = 30/18

(1.05)^x = 10/6

x = log(10/6)/log(1.05)

x = 10.47 years.

Hence the first graph is the correct graph, as the intersection point is (10.47, 30).

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Answer:

  26

Step-by-step explanation:

You want the value of x+y at the solution for the system of equations ...

Substituting for y, we have ...

  2(3x -2) = 4x +10

  6x -4 = 4x +10

  2x = 14

  x = 7

Adding x to the first equation gives ...

  x +y = 4x -2

  x +y = 4(7) -2

  x + y = 26

__

Additional comment

The attached graph shows the solution to the equations to be (x, y) = (7, 19). Then x+y = 7 +19 = 26.

Approximately $2256.94 needs to be invested now at an interest rate of 5% per year, compounded continuously, to have $3000 after 7 years.

To solve this problem, we need to use the formula for continuous compounding, which is:

A = P[tex]e^{(rt) }[/tex]

Where A is the amount of money accumulated after t years, P is the principal amount invested, r is the interest rate, and e is the mathematical constant 2.71828...

In this case, we want to find the amount of money P that needs to be invested now to accumulate $3000 after 7 years at an interest rate of 5% per year, compounded continuously.

Plugging in the values given in the problem, we get:

3000 = P[tex]e^{(0.05 \times 7)[/tex]

3000 = P[tex]e^{0.35[/tex]

Dividing both sides by [tex]e^{0.35[/tex], we get:

P = 3000 / [tex]e^{0.35[/tex]

P = 2256.94

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B(x) is an exponential function.

M(x) is a quadratic function.

S(x) is a linear function.

Generally speaking, an exponential function is a type of function that has a constant ratio (common ratio). Therefore, we would determine the constant ratio for B(x) as follows;

Constant ratio, r = a₂/a₁ = a₃/a₂ = a₄/a₃ = a₅/₄

Constant ratio, r = 6/2 = 18/6 = 54/18 = 162/54

Constant ratio, r = 3.

B(x) can be broken down as follows;

2 = 2 × 1

6 = 2 × 3

18 = 2 × 3²

Therefore, the exponential function for B(x) is given by;

[tex]B(x) = 2(3)x^{n-1}[/tex]

In Mathematics, a quadratic function is a type of function that has a constant second difference;

Differences = (120 - 20), (420 - 120), (920 - 420), (1620 - 920) = 100, 300, 500, 700

Second difference = (300 - 100) = (500 - 300) = (700 - 500) = 200.

Furthermore, a linear function is a type of function that has a constant common difference;

common difference = (81 - 38) = (124 - 81) = (167 - 124) = 43.

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Missing information:

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

1666666667/1000000000 simplified as a fraction is 1 and 2/3 or 5/3.

~~~Harsha~~~

Answer:

Follow steps below to find the answer.

Step-by-step explanation:

Use the volume equation of cylinder:

V =

[tex]\pi \times {r}^{2} \times height[/tex]

Substitute the volume, Pi and height:

[tex]4559.28 = 3.14 \times {r }^{2} \times 12[/tex]

Rearrange:

[tex] \frac{4559 .28}{3.14 \times 12} = {r}^{2} [/tex]

[tex] \sqrt{ \frac{4559.28}{37.68} } = radius[/tex]

Insert units (yards) for the radius as well.

The median is the middle value, which in this case is $175,000. Therefore, the answer is (A) $175,000.

How to solve?

To find the median value of the houses, we need to first determine the new values of each house after the public assessor's determination. We can do this by adding $20,000 to each of the previous values:

$172,000 + $20,000 = $192,000

$163,000 + $20,000 = $183,000

$142,000 + $20,000 = $162,000

$155,000 + $20,000 = $175,000

$191,000 + $20,000 = $211,000

$122,000 + $20,000 = $142,000

$144,000 + $20,000 = $164,000

Now, we need to find the median value of these new values. To do this, we can arrange them in order from least to greatest:

$142,000, $162,000, $164,000, $175,000, $183,000, $192,000, $211,000

The median is the middle value, which in this case is $175,000. Therefore, the answer is (A) $175,000.

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Answer:

5√5.

Step-by-step explanation:

Pythagoras.

x^2 = 15^2 - 10^2

= 225 - 100

= 125

x = √125

= 5√5.

Answer:

216

Step-by-step explanation:

the formula for rectangles is LxWxH

so for the giant rectangle, the formula to the area is 4x12x4=192

And the smaller one is going to be 3x4x2=24

So, 192+24=216

Answer:

84

Step-by-step explanation:

3(y-x)-2(5x-4y)-(-8x+2y)+4x-7y                 if x = -4 and y = 8

3(8 -(-4) - 2(5(-4)-4(8) -(-8(-4) + 2(8)) + 4(-4) - 7(8)

= 3(12) - 2(-20 - 32) - (-32 + 16) - 16 - 56

= 36 - 2(-52) - (-16) - 16 - 56

= 36 + 104 + 16 - 16 - 56

= 140 + 16 - 16 - 56

= 156 - 16 - 56

= 140 - 56

= 84

Answer:

please mark me the brainliest

Step-by-step explanation:

Job Description: You have been hired as a software developer for a tech company in Austin, Texas. Your starting salary is $80,000 per year, which is in line with national averages for software developers with similar experience.

Location: Your new job is located in Austin, Texas, which is approximately 1,200 miles from your current residence in Chicago, Illinois.

Yearly Gross and Net Income: Your yearly gross income is $80,000. After taxes, your net income is approximately $62,400.

Moving Costs: To move to Austin, you have two options: renting a moving truck or hiring a professional moving company. After researching both options, you have decided to rent a moving truck for $1,500. This is more affordable than hiring a professional moving company, which would cost approximately $4,000.

Housing Costs: You have decided to rent an apartment in Austin. After researching local newspapers and online advertisements, you have found a one-bedroom apartment for $1,200 per month. This is within your budget and includes basic utilities such as water and trash.

Fixed and Flexible Expenses: Your fixed expenses include rent, car insurance, and student loan payments, which total approximately $2,000 per month. Your flexible expenses include groceries, entertainment, and other miscellaneous expenses, which you plan to keep under $800 per month.

Sources: To research housing costs and moving options in Austin, you used the following sources:

- Apartments.com

- Zillow.com

- U-Haul.com

- Budgettruck.com

- Austin American-Statesman (local newspaper)

Realistic Pricing: The pricing used in this project is based on current national and local averages, and is meant to be realistic and representative of actual costs.

Overall Moving and Living Plan:

- Rent a moving truck for $1,500

- Rent a one-bedroom apartment in Austin for $1,200 per month

- Keep fixed expenses at approximately $2,000 per month

- Limit flexible expenses to $800 per month

- Use local newspapers and online advertisements to find affordable housing and compare moving options

- Adjust budget as needed based on actual costs and expenses in Austin

By following this plan, you should be able to move to Austin and begin your new job within your budget. It is important to continue to monitor your expenses and adjust your budget as needed to ensure that you are able to live comfortably and save for the future.

I need the answer to this as well

Answer:

Coordinates:

(-1,2)

(2,2)

(2,3)

(1,3)

(1,4)

(-1,4)

Step-by-step explanation:

The line y=-x is basically a diagonal going from top left to bottom right.

Answer: a^3

Step-by-step explanation:

if a cube is made up of the same measurements LxWxH will be the same number for example: a cube with a side length of 2 will have its width length and height 2 therefore the volume will be 2^3 or 8