The perimeter of a rectangle is twice the
sum of its length and its width. The
perimeter is 46 meters and its length is 2
meters lore than twice its width.
What is its length

The average participation score after dropping the lowest 4 participation scores is = 83.33%

In order to calculate the average participation score after dropping the lowest 4 participation scores, we need to first calculate the participation score for each class.

For the first class, the student answered 2 out of 3 quizzes correctly, so the participation score is (2/3) x 100 = 66.67%.

For the second class, the student answered 1 quiz correctly, so the participation score is 100%.

Now we need to find the average participation score after dropping the lowest 4 scores. Since the student only participated in 2 classes, we don't need to drop any scores, the average participation score is (66.67 + 100)/2 = 83.33%

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Answer:

Jamie has 44 pairs of shoes

Step-by-step explanation:

Let

Jamie= x pairs of shoes

Suzie= 33 less than twice the amount of shoes Jamie has

2x - 33 = 55

Solve:

2x - 33 = 55

Collect like terms

2x = 55 + 33

2x = 88

Divide both sides by 2

2x / 2 = 88 / 2

x = 44

Jamie = x = 44 pairs of shoes

Therefore, Jamie has 44 pairs of shoes

Answer:

$37.60

Step-by-step explanation:

If 7 shirts = 32.90 then (32.90/7) x 8 = 37.60

Answer:

6 games

Step-by-step explanation:

20 = 80 - 10x

-60 = -10x

6 = x

Answer:

A. ??

Step-by-step explanation:

have a nice day and hope it helps

Answer:

First you must identify the inputs and output values and then you must check to see if each input value is paired up with only one output value and if so the table will be represented as a function.

Step-by-step explanation:

Identify the inputs and output values of the graph

Check to see if the values are paired up with one output value

Answer:

c

Step-by-step explanation:

The given limit can be expressed as the definite integral: lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx

To express the given limit as a definite integral, we need to determine the appropriate function f(x) and the integration limits b and 1.

Let's start by rewriting the given limit:

lim (n→∞) (1/n) ∑(i=1 to n) \(i^6/n^7\)

Notice that the term i⁶/n⁷ can be written as (i/n)⁶/n.

Therefore, we can rewrite the above limit as:

lim (n→∞) (1/n) ∑(i=1 to n) (i/n)⁶/n

This can be further rearranged as:

lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶

Now, let's define the function f(x) = x⁶, and rewrite the limit using the integral notation:

lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶ = ∫[a,b] f(x) dx

To determine the integration limits a and b, we need to consider the range of values that x can take. In this case, x = i/n, and as i varies from 1 to n, x varies from 1/n to 1. Therefore, we have a = 1/n and b = 1.

Hence, the given limit can be expressed as the definite integral:

lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx

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The solution to the system of inequalities is (-1, 4).

To graph the system of inequalities and identify the point that represents a solution, we will plot the lines corresponding to the inequalities and shade the regions that satisfy the given conditions.

The first inequality is x > -2, which represents a vertical line passing through x = -2 but does not include the line itself since it's "greater than." Therefore, we draw a dashed vertical line at x = -2.

The second inequality is y ≤ 2x + 7, which represents a line with a slope of 2 and a y-intercept of 7.

To graph this line, we can plot two points and draw a solid line through them.

Now let's plot the points (-1, 6), (1, 11), (-1, 4), and (-3, -1) to see which one lies within the shaded region and satisfies both inequalities.

The graph is attached.

The dashed vertical line represents x > -2, and the solid line represents y ≤ 2x + 7. The shaded region below the solid line and to the right of the dashed line satisfies both inequalities.

By observing the graph, we can see that the point (-1, 4) lies within the shaded region and satisfies both inequalities.

Therefore, the solution to the system of inequalities is (-1, 4).

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Answer:

False

Step-by-step explanation

First you do 12 x 5 =60 and 12 x 24= 288 then add 60 and 288 which give you 348. Now youre left with 348=44-(5-94)  

Do 5 - 94= -89  then 44-(-89) gave you 133

lastly, you're left with 348=133 which means it's false, the equation does not each!

The actual dimensions of Abigail's house are 18 ft by 20 ft.

Abigail's house is represented by a scale drawing with dimensions of 9 cm by 10 cm. We are told that 6 cm on the scale drawing equals 12 ft. To find the actual dimensions of Abigail's house, we need to determine the scale factor.

First, we calculate the scale factor by dividing the actual length (12 ft) by the corresponding length on the scale drawing (6 cm). The scale factor is 12 ft / 6 cm = 2 ft/cm.

Next, we can use the scale factor to find the actual dimensions of Abigail's house. We multiply each dimension on the scale drawing by the scale factor.

The actual length of Abigail's house is 9 cm * 2 ft/cm = 18 ft.
The actual width of Abigail's house is 10 cm * 2 ft/cm = 20 ft.

Therefore, the actual dimensions of Abigail's house are 18 ft by 20 ft.

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Answer:

P (4 and F) = 1 in 21 or 4.76%

P(EVEN NUMBER AND VOWEL) = 3 in 14 or 21.43%

Step-by-step explanation:

The probability of rolling a four on a die is 1 in 6.

The probability of picking the letter F in the word GIRAFFE is 2 in 7.

Therefore:

\(P (4\ and\ F)=P(4)*P(F)\\ P (4\ and\ F)=\frac{1}{6}*\frac{2}{7}\\ P (4\ and\ F)=\frac{1}{21}= 4.76\%\)

The probability of rolling an even number (2, 4 or 6) on a die is 3 in 6.

The probability of picking a vowel (A, E, I) in the word GIRAFFE is 3 in 7.

Therefore:

\(P (Even\ and\ Vowel)=P(Even)*P(Vowel)\\ P (Even\ and\ Vowel)=\frac{3}{6}*\frac{3}{7}\\ P (Even\ and\ Vowel)=\frac{3}{14}= 21.43\%\)

Answer: A, D

Step-by-step explanation:

A) Correct. \((x^3)^2=x^{(3)(2)}=x^6\). Similar logic for y.

B) Incorrect. The numerators are different.

C. Incorrect. The denominators are not the same.

D. Correct. The denominators are the same by difference of squares.

Answer:

b

Step-by-step explanation:

2/(x+2)≠1/(x+1)

Answer:

-16r^2 - 10r

Step-by-step explanation:

all you got to do is distribute

The estimated value of f(b) using linear approximation is -24.44, and the error in the approximation is approximately 24.54.

Given, f(x) = 1/x^(1/2)We have to use linear approximation to estimate δf for a change in x from x = a to x = b, and then use the estimate to approximate f(b), and find the error using the calculator

.To find the δf using the linear approximation, we have to first find the first derivative of the function and then use it in the formula.

Differentiating f(x) w.r.t x, we get:f'(x) = -1/2x^(3/2)

Now, using the formula for linear approximation, we have:δf ≈ f'(a) * δxδx = b - a

Now, substituting the values, we get:δf ≈ f'(a) * δxδx = b - a = 107 - 100 = 7Thus,δf ≈ f'(100) * 7f'(100) = -1/2 * 100^(3/2)δf ≈ -35 * 7δf ≈ -245

To approximate f(b), we have:f(b) ≈ f(a) + δff(a) = f(100) = 1/100^(1/2)f(b) ≈ f(a) + δf = 1/100^(1/2) - 245 ≈ -24.44

To find the error, we can use the actual value of f(b) and the estimated value of f(b) that we found above:

Actual value of f(b) is:f(107) = 1/107^(1/2) ≈ 0.0948Thus, the error is given by: Error = |f(b) - Approximation|Error = |0.0948 - (-24.44)| ≈ 24.54

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The number of hours it will take to complete the resurfacing project is:

51 hours

We are told that the department of  transportation is resurfacing 12. 75 miles of roadways in Collin County.

Now, we are also given that:

Number of miles completed each hour = 1/4 mile in section = 0.25 mile per hour

Thus, the number of hours it will take to complete the resurfacing project is:

That would be 12.75 divided by 0.25 hours

= 12.75/0.25

= 51 hours

Thus, we conclude that is the total time it will take to complete the project

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In finance, a dividend is a portion of a company's profits that is distributed to its shareholders. Dividends can be paid in cash or in the form of additional shares of stock. It is a way for a company to return some of its profits to its shareholders.

The information provided for Windwept, Inc. for 2017 includes its income statement and balance sheet. The income statement shows the company's net sales, cost of goods sold, depreciation, earnings before interest and taxes, interest paid, taxable income, taxes, and net income.

The balance sheet provides information on the company's assets, liabilities, and equity, including cash, accounts receivable, inventory, and long-term debt.

However, the information provided does not include the total amount of dividends paid by the company. Therefore, it is not possible to determine the total dividends paid by Windwept, Inc. for 2017 based on the information given.

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Answer: The mass of each coffee bean is

A- 9 kg

B - 15 kg

C - 21 kg

The cost per kg of the mixture is 10.8$

Step-by-step explanation:

The ratio given for the three types of coffee beans is 3:5:7 so we have 3x, 5x, and 7x respectively.

3x + 5x + 7x = 45 kg

15x = 45

x = 3

Therefore  as we got the value of x we can multiply with their suitable ratios

3 X 3 = 9 kg (A)

5 X 3 = 15kg (B)

7 X 3 = 21kg (C)

For the second part,

As A costs 7$  per kg and we have 9 of it multiplied and we get 63 $

Similarly, performing for B and C we get 150$ and 273$ respectively.

As we got these prices for a total of 45 kg but we need the price per kg to divide the total sum by 45 and we get 10.8 $.

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Answer:

total ratio is 3+5+7 = 15

bag A = 3/15 * 45 = 9 kg

bag B = 5/15 * 45 = 15 kg

bag C = 7/15 * 45 = 21 kg

ii) bag A = $7 per kg

= 7*9 = $63

bag B = $10 per kg

= 10*15 = $150

bag C = $13 per kg

= 13*21 = $273

bag A+B+C = 63+150+273 = $486

therefore $486 for 45kg

cost per kg= 486/45 = $10.8

Answer:

133.33

Step-by-step explanation:

sorry if im incorrect

Answer:

800

Step-by-step explanation:

According to classical test theory, errors of measurement are c. random. Errors of measurement can occur in testing, which can result in inaccurate scores being reported. These errors of measurement can be caused by various factors such as the test itself, the test-taker, or the environment.

The correct option is c. random.

Therefore, these errors are random and can't be predicted. Classical test theory is a type of measurement theory that helps explain how reliable a test is. It states that the observed score of a test is equal to the true score plus the error of measurement. The true score is the score that a test-taker would obtain if there were no errors of measurement, while the observed score is the score that the test-taker receives when taking the test. The error of measurement is the amount of variation between the true score and the observed score.

Therefore, errors of measurement are random because they are unpredictable and can't be attributed to a specific cause.

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The image point of (6, 4) after the transformation T<1, 5> R90° is  (-6, -11).

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The transformation shifts a point up by 5 units on the y-axis. The transformation is a point 90 degrees counterclockwise.

So, to find the image point of (6, 4) after the transformation, we first apply the rotation R90° :

(6, 4)  → (-4, -6)

Next, we apply the translation T<1, 5> :

(-4, -6)  → (-4, -11)

Hence, the image point of (6, 4) after the transformation R90° is (-6, -11).

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Answer:

14.13

Step-by-step explanation:

Since we know the area of a circle is \(\pi r^2\), we just need to divide it by 2 to get the semicircle's area ( \(\frac{\pi r^2}{2}\) )

We know the radius is equal to half of the diameter, or in this case 3, and we're approximating pi to 3.14, so we just substitute on the formula:

\(\frac{(3.14)(3)^2}{2} = \frac{(3.14)(9)}{2} = \frac{28.26}{2} = 14.13\)

The constraint(s) to ensure that the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is:

3X3 <= 4X2

This constraint states that the number of 3 bedroom rentals (X3) must be less than or equal to four times the number of 2 bedroom rentals (X2). This ensures that the ratio of 3 bedroom rentals to 2 bedroom rentals does not exceed 4 to 1.

For example, if there are 10 2 bedroom rentals (X2), the constraint would be:

3X3 <= 4(10)
3X3 <= 40

This means that the number of 3 bedroom rentals (X3) cannot exceed 40.

The constraint to ensure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is 3X3 <= 4X2.

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huh Step-by-step explanation:

Answer:

There are 10 perfect squares between 1 and 100;

A perfect square is basically an integer that is a square of an integer. Or simply the product of an integer with itself.

Explanation:

The perfect squares between 1 and 100 are:

1*1 = 1

2*2 = 4

3*3 = 9

4*4 = 16

5*5 = 25

6*6 = 36

7*7 = 49

8*8 = 64

9*9 = 81

and

10*10 = 100

Answer: 1. Correct, 2. Incorrect 90° angle not 80° angle answer is 50, 3. Is correct, 4. Is correct

Step-by-step explanation: