Please help me with this homework

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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Using the logarithm quotient rule, it can be simplified to log1 - logA. Since log1 = 0 for any base, this simplifies further to -logA.

We simplify and solve the given expressions using the mentioned terms. Here are the step-by-step explanations for each expression:

1. logA: This expression represents the logarithm of a number A to a specified base. Without any base provided, it cannot be simplified further.

2. 1logAA: Since the coefficient of the logarithm is 1, this simplifies to logAA, which represents the logarithm of A to the base A. By definition, logAA = 1.

3. logA x Blog (a/b): This expression seems to have formatting issues, so I'll break it down into two separate expressions: - logA x B: This represents the logarithm of the product AB to a specified base. Using the logarithm product rule, it can be simplified to logA + logB. - log (a/b): This represents the logarithm of the quotient a/b to a specified base. Using the logarithm quotient rule, it can be simplified to loga - logb.

4. log A ^ B: This expression represents the logarithm of A raised to the power of B to a specified base. Using the logarithm power rule, it can be simplified to B * logA. 5. log 1/A: This expression represents the logarithm of the reciprocal of A (1/A) to a specified base.

Using the logarithm quotient rule, it can be simplified to log1 - logA. Since log1 = 0 for any base, this simplifies further to -logA.

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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 calculated value of the area of shaded sector is 1.125π

From the question, we have the following parameters that can be used in our computation:

Radius, PQ = 3 units

Central angle, QPR = 45 degrees

The area of shaded sector is calculated as

Area = Central angle/360 * π * Radius^2

Substitute the known values in the above equation, so, we have the following representation

Area = 45/360 * π * 3^2

Evaluate

Area = 1.125π

Hence, the area is 1.125π

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The perimeter of the gray rectangle, given that both rectangles have the same area, is 48 inches

First, find the area of the first rectangle by the formula :

= Length x Width

= 9 x 12

= 108 inch ²

This means that the perimeter of the gray rectangle is 108 inch ² as well. The missing dimension would be:

Area = Length x Width

108 = Length x 18

Length = 108 / 18

Length = 6 inch

The perimeter is then :

= 18 + 18 + 6 + 6

= 48 inches

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Answer:

B

Step-by-step explanation:

B is the correct answer because it is the only answer that has the starting point right. because the equation is y= 4x -3 that means you must start at (0,-3) before you start drawing the line

Step-by-step explanation:

I'm sorry! Although, I cannot perform the physical measurements required for this project, I can provide some guidance on how to approach the project.

Part One of the project involves measuring the heights and arm spans of 11 people, in addition to your own measurements. If you do not have access to 11 people to measure, you can use the sample data provided in the table.

Part Two of the project involves creating a scatter plot of the data using graphing software of your choice. You should also predict the line of best fit and sketch it on your graph.

Part Three of the project involves analyzing the scatter plot and the line of best fit. You will need to determine which variable should be plotted on the x-axis and which should be plotted on the y-axis. You should also write the equation of the line of best fit using the slope-intercept form of the line y = mx + b and explain what the slope and y-intercept represent within the context of your graph.

Additionally, you will need to test the residuals of two other points to determine how well the line of best fit models the data, use the line of best fit to describe the data correlation, and use the line of best fit to approximate the height of a person with a given arm span and vice versa.

Make sure to follow the rubric provided and include your scatter plot and answers to the questions in a word processing document.

Answer:

5√5.

Step-by-step explanation:

Pythagoras.

x^2 = 15^2 - 10^2

= 225 - 100

= 125

x = √125

= 5√5.

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.

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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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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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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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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Step-by-step explanation:

1. The mean of the data given is 7.1

2. The median of the data given is 7

ADDITIONAL:

3. The mode is 4

4. The range is 7

5. The minimum is 4

6. The maximum is 11

7. There are no outliers

Answer:

12.5%

Step-by-step explanation:

...............

Answer:

Slope = 2

Y - intercept = (0, -12)

Step-by-step explanation:

I did the quiz!

Answer: 9 pages in the photo album will be completely filled.

Step-by-step explanation:

To determine how many pages of the photo album will be completely filled, we need to divide the total number of pictures by the number of pictures per page:

73 pictures ÷ 8 pictures per page = 9.125

Since we can't have a fraction of a page, we need to round up to the nearest whole number.

9.125 rounded to the nearest whole number is 9.

The amount of money that the pool manager paid for each item are as follows;

chlorine tablets: $54.

pH test kit: $6.6.

In this scenario and exercise, we would determine the sales price after a discount of 40 percent is applied to the total cost of the two items as follows;

Discount of 40% off = 100 - 50

Discount of 40% off = 60%

Next, we would calculate 50 percent of the original price of of each item as follows;

New sales price for chlorine tablets = 60/100 × 90

New sales price for chlorine tablets = 0.6 × 90

New sales price for chlorine tablets = $54.

New sales price for pH test kit = 60/100 × 11

New sales price for pH test kit = 0.6 × 11

New sales price for pH test kit = $6.6.

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The width and perimeter of his field will be 67.4 feet and 198.8 feet, respectively.

Given that:

Area, A = 2,156.8 square feet

Length, L = 32 feet

Assume L is the length and W is the width. Then the area is given as,

A = L × W

The width of the rectangle will be calculated as,

2,156.8 = 32W

W = 67.4 feet

And the perimeter is calculated as,

P = 2(32 + 67.4)

P = 198.8 feet

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Answer: The answer is Karen needs $11.

Hope this helps!!!!

Step-by-step explanation: Please give Brainlist.

I can answer more of your questions just ask.

For the fixed expenses, Penders spends $150 less than the budgeted amount.

A budget is a written plan that you make to decide how much money you will spend each month. A budget can help you ensure that you have enough money each month. If you don't have a budget, you may run out of money before your next payday. Your budget reveals how much money you make.

The three major budgets are as follows:

Budget that is balanced. A balanced budget is one in which the expected government expenses equal the estimated government receipts during a given fiscal year.

Budget Surplus. The surplus budget is the second of the three types of budgets.

Budget Deficit.

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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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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

" To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0 "

Liza omitted three questions.

Liza's score is therefore 3 * (-2) = - 6

Say Liza correctly responds to a question.

so, score = 3n.

3n - 6 = 0

=> 3n = 6

=> n = 2

the appropriate statement is;

Given that Liza currently has -6 points and a score of 0 as a result, she needs to properly answer 2 questions in order to receive 6 points in order to break even.

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Missing parts;

Liza is playing a game in which she earns 3 points for each correct response but loses 2 points for each incorrect response. She missed the first 3 questions. Right now she just hopes to break even. Which statement is true?

To break even, Liza must answer 3 questions correctly to cancel out the 3 she answered incorrectly.

To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.

To break even, Liza must answer 6 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.

To break even, Liza must answer 1 question correctly, because she needs 3 points to cancel out the 3 questions she answered incorrectly

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

The value of n in the given expression is 4.

Given that an expression 8⁹ = 8ⁿ·8⁵ we need to find the value of n,

So,

8⁹ = 8ⁿ·8⁵

8⁹/8⁵ = 8ⁿ

8⁽⁹⁻⁵⁾ = 8ⁿ

8ⁿ = 8⁴

n = 4

Hence the value of n in the given expression is 4.

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Answer: 41800, 7.6555%

Step-by-step explanation:

The laptop sold for 45000 nu with a markup of 3200 nu.

This means the price of the laptop was (45000-3200) nu before the markup, or 41800 nu.

To find the mark-up percent, divide 3200 by 41800.

That will give you a percent of 7.6555

To double check that this is correct, multiply 41800 by 1.076555, and you'll get 45000 nu.

Answer: 300 drops of paint

Step-by-step explanation:

6X5=30   6X50=300

The portfolio's expected rate of return and standard deviation is B) 9.9%; 1.1%

State Portfolio Return of 1,2,3,4,5is caluclated as:- First 1=40%*10%+60%*8%=8.8000%,

Second.=40%*13%+60%*7%=9.4000%,

Third=40%*12%+60%*6%=8.4000%,

Fourth =40%*14%+60%*9%=11.0000%,

Fifth =40%*15%+60%*8%=10.8000% and

Portfolio

Expected return=0.10*8.8%+0.20*9.4%+0.20*8.4%+0.30*11%+0.20*10.8%=9.9%

Portfolio Standard Deviation= ✓(0.10*(8.8%-9.9%)² +0.20*(9.4%-9.9%)²+0.20*(8.4%-9.9%)² +0.30*(11%-9.9%)² +0.20*(10.8%-9.9%)²)=1.1%

The correct option is B) 9.9%;1.1%

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If you invest 40% of your money in A and 60% in B, what would be your portfolio's expected rate of return and standard deviation?

A) 9.9%; 3%

B) 9.9%; 1.1%

C) 11%; 1.1%

D) 11%: 3%

E) 10.6%; 2.1%