function notation. help please

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:

5√5.

Step-by-step explanation:

Pythagoras.

x^2 = 15^2 - 10^2

= 225 - 100

= 125

x = √125

= 5√5.

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%

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:

Great question!!

Step-by-step explanation:

I don't have an answer for you, although, I'm sure that you will figure it out on your own, or god forbid, ask/email your teacher or peer! also, keep in mind, don't share your actual identity online:)

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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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 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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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

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:

Answer is B- 5 3/14.

I just need to fill in characters for this to submit, but hopefully this helped you out!

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

After set s1.retainAll(s2), s1 is [2].

After performing the operation s1.retainAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become [2].
To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].
2. Perform the retainAll() operation on s1 with s2.
3. The retainAll() operation keeps only the elements that are common in both sets.
4. The common element in both sets is 2.
5. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.retainAll(s2), the set s1 becomes [2].

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Answer:

Slope = 2

Y - intercept = (0, -12)

Step-by-step explanation:

I did the quiz!

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.

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 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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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 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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" 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:

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

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:

12.5%

Step-by-step explanation:

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

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

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 first three terms of the sequence are 9, 18 and 27

An arithmetic sequence is simply defined in algebra as a sequence of numbers where the difference between every two consecutive terms is the same.

From the information given, we have that;

The nth term of the sequence is given with the equation,

an = 3(3)n​

For the first term, we have that n = 1

Substitute the values

a1 = 3(3)1

expand the bracket

a1 = 9

for the second term, n = 2

Substitute the value

a2 = 3(3)2

expand the bracket

a2 = 18

For the third term

a3= 3(3)(3)

a3 = 27

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Answer:

[tex]x = -5\\y = 4[/tex]

Step-by-step explanation:

Not sure I understand that part of your question ...not separate, the xy for both combined.

Here are the solution steps to determine x and y values

Given equations are

[tex]\begin{amatrix}x-2y=-13 \dots [1] \\\\ y=-2x-6\dots\dots[2]\end{amatrix}[/tex]

In equation [2] get all the variables to the left side and the constant on ther right side:

Let's examine equations [1] and [3]:

[tex]\begin{aligned}x - 2y &= - 13 \dots [1]\\ 2x + y &= -6\;\;\dots[3]\\\end{aligned}[/tex]

Multiply eq [1], [tex]x - 2y = -13[/tex]  throughout by [tex]2[/tex]:
[tex]2(x - 2y) &= 2(- 13) \implies 2x - 4y = -26 \dots[4]\\[/tex]

Subtract the equations:
[tex]2x+y=-6\\-\\\underline{2x-4y=-26}\\\\5y=20\\\\y = \dfrac{20}{5} = 4[/tex]

[tex]\mathrm{For\:}2x-4y=-26\mathrm{\:plug\:in\:}y=4[/tex]:

[tex]2x-4\cdot \:4=-26\:\\\\2x - 16 = -26\\\\2x = -26 + 16\\\\2x = -10\\\\x = -10/2 = -5[/tex]

Answer: 300 drops of paint

Step-by-step explanation:

6X5=30   6X50=300

Answer:

Step-by-step explanation:

To solve the system of equations:

3x + 4y = 17 (equation 1)

-4x - 3v = -18 (equation 2)

We can use either the substitution method or the elimination method. Here, we will use the elimination method to eliminate one of the variables.

Multiplying equation 1 by 4 and equation 2 by -3, we get:

12x + 16y = 68 (equation 3)

12x + 9v = 54 (equation 4)

Subtracting equation 4 from equation 3, we get:

7v = 14

Dividing both sides by 7, we get:

v = 2

Substituting v = 2 into equation 4, we get:

12x + 9(2) = 54

12x + 18 = 54

12x = 36

x = 3

Substituting x = 3 into equation 1, we get:

3(3) + 4y = 17

9 + 4y = 17

4y = 8

y = 2

Therefore, the solution to the system of equations is (3, 2).

The point that is not a solution of the system of inequalities is (3, 1).

A point is a solution of the system of inequalities only if it lies in the shaded region (the green one) or in top of the solid line (this would be the line with negative slope).

Then from the given points the ones that are solutions are:

(1, 3) (it lies on the shaded region)

(1, 4) (it lies in the shaded region)

(0, 5) (it lies in the shaded region)

Then the anser is the remaining one (3, 1), that is not a solution.

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