If a company collected $1,000 from its customers in advance and then fulfilled $800 of its obligation and incurred expenses of $700 of which it paid $300, using accrual basis accounting, it would report net income equal to ____.

Answer:

you're right

Step-by-step explanation:

I checked by writing the first 5 terms

a1: 5

a2: 8

a3: 11

a4: 14

a5: 17

and then checked using the function to see if they matched up and they did

Answer:

Mrs. Habib will have 22.25 feet of border left after she puts border around the board.

Step-by-step explanation:

You must find the perimeter of the board and subtract it from the amount of border she has to find how much she will have left after she uses it. The formula for perimeter is \(P=2(l+w)\), where \(l=\) the length of the board, and \(w=\) the width of the board. You will add those together and multiply them by 2 because there are 4 sides to a rectangle. That means this equation will look like:

\(P=2(8.25+3.75)\)

Now you can just solve for the perimeter.

\(P=2(12)\)

\(P=24\)

The perimeter is 24 feet. That means it will take 24 feet of border to cover her board. In order to find out how much she'll have left over, just subtract 24 from the total amount of border she has.

\(46.25-24=22.25\)

Therefore Mrs. Habib will have 22.25 feet of border left over after she covers the bulletin board.

The volume of the solid obtained by rotating the region enclosed by the curves \(y = x ^{\frac{1}{2} }\) and y = x about the x-axis is \(\frac{\pi}{6}\).

option A.

The volume of the solid obtained by rotating the region enclosed by the curves \(y = x ^{\frac{1}{2} }\) and y = x about the x-axis is calculated as follows;

The limit of the integration is calculated as follows;

 \(y = x ^{\frac{1}{2} } = \sqrt{x}\)

y = x

solve the two equation together;

x = √x

Square both sides of the equation;

x² = x

x² - x = 0

x(x - 1) = 0

x = 0 or  x - 1 = 0

x = 0 or 1

The radius of the solid formed is determined as;

\(r = (x^2 - x)\)

when it is rotated, the radius of the solid; r = x - x²

The volume function of the solid is calculated as follows;

dv = 2πxr

dv = 2πx (x - x²)

The volume of the solid is calculated as;

\(V = \int\limits^1_0 {2\pi x (x - x^2) } \, dx \\\\V = 2\pi \int\limits^1_0 {x( x- x^2) } \, dx\\\\V = 2\pi \int\limits^1_0 { (x^2- x^3) } \, dx\\\\V = 2\pi [\frac{x^{3 }}{3} - \frac{x^4}{4} ]^1_0\\\\V = 2\pi [\frac{(1)^{3 }}{3} - \frac{(1)^4}{4} ]\\\\V = 2\pi (\frac{1}{12} )\\\\V = \frac{2\pi}{12} \\\\V = \frac{\pi }{6}\)

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Answer:

D and B

Step-by-step explanation:

The geometric mean of a and b \(=\sqrt{a*b}\) then the geometric mean of 8 and 18 is 12.

In Mathematics, the Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values. Basically, we multiply the numbers altogether and take the nth root of the multiplied numbers, where n is the total number of data values.

The geometric mean is used in finance to calculate average growth rates and is referred to as the compounded annual growth rate.

To calculate the geometric mean of two numbers, you would multiply the numbers together and take the square root of the result.

Geometric mean of a and b \(=\sqrt{a*b}\)

Geometric mean of 8 and 18 \($=\sqrt{8*18}\)

a = 8 , b = 18  

= √144

= 12

The geometric mean of 8 and 18 is 12.

Therefore, the correct answer is option D. 12.

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Answer:

Step-by-step explanation:

hello :

put  a=-3    and  n=4   in :  3n2 – 2an

you have : 3(4)² – 2(-3)(4) =3(16)+6(4) =48+24 = 72

Answer:

1/4

Step-by-step explanation:

i hope this helps :)

To solve for A, B, and C in the given equation, we need to use partial fraction decomposition. First, we factor the denominator of the left side of the equation:

x³ - x² + x - 1 = (x - 1)(x² + 1)

Then we write the right side of the equation as a sum of three fractions with denominators (x - 1), (x² + 1), and (x² + 1)(x - 1):

38x² + 38x + 38/x³ - x² + x - 1 = A/(x - 1) + Bx/(x² + 1) + C/(x² + 1)(x - 1)

Now we need to find the values of A, B, and C. To do this, we can multiply both sides of the equation by the common denominator (x - 1)(x² + 1)(x³ - x² + x - 1) and simplify:

38x² + 38x + 38 = A(x² + 1)(x³ - x² + x - 1) + Bx(x - 1)(x³ - x² + x - 1) + C(x² + 1)(x - 1)

Expanding the products and collecting like terms, we get:

38x² + 38x + 38 = (A + B)x⁴ + (-A + C + B)x³ + (A - C + B)x² + (-A + C - B)x + (A - C)

Now we have a system of five equations in three unknowns:

A + B = 0
-A + C + B = 0
A - C + B = 38
-A + C - B = 38
A - C = 38

Solving this system, we get:

A = -19
B = 19
C = 57

Therefore, the solution is:

A = -19
B = 19
C = 57
To find A, B, and C, we will use partial fraction decomposition. First, let's rewrite the given equation:

38x² + 38x + 38 / (x³ - x² + x - 1) = A / (x - 1) + (Bx + C) / (x² + 1)

To find A, multiply both sides by (x - 1):

38x² + 38x + 38 = A(x² + 1) + (Bx + C)(x - 1)

Now, let x = 1:

38(1)² + 38(1) + 38 = A(1² + 1)

76 = 2A

A = 38

Now, we'll find B and C by equating the coefficients of the powers of x:

For x²:

38 = A + B

For x:

38 = -B + C

Using the value of A = 38, we can find B:

38 = 38 + B

B = 0

Now, we can find C:

38 = -0 + C

C = 38

So, the values are:

A = 38
B = 0
C = 38

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Answer:

4

Step-by-step explanation:

5(2x-3)-(x+8) = 13

10x-15-x-8 = 13

9x = 36

x = 4

Answer:

565.5 in²

Step-by-step explanation:

Lateral area of a cone is represented by,

Lateral surface area = πrl

Here 'r' = Radius of the circular base

l = lateral height of the cone

By this formula,

Lateral area = π(12)(15)

                    = 565.49

                    ≈ 565.5 square inch

Therefore, 565.5 in² is the answer.

The probability of spinning "C" and flipping "heads" is 0.125 or 12.5%.

Assuming the spinner is fair and has 4 equal-sized sections, the probability of spinning "C" is 1/4 or 0.25.

Assuming the coin is fair, the probability of flipping "heads" is 1/2 or 0.5. To find the probability of both events occurring, we multiply the individual probabilities:

The probability of spinning "C" and flipping "heads" is calculated as,

P = (Probability of spinning "C") × (Probability of flipping "heads")

P = 0.25 × 0.5

P = 0.125

Therefore, the probability is 0.125.

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By the consideration of direct proportionality, the constant of proportionality for the height of the plant is equal to 3 inches per week.

Let x and y the number of weeks and the height of the plant, respectively. Given the consideration of direct proportionality, the height of the plant inasmuch as the number of weeks increases. Then, the constant of proportionality (in inches per week) is found by dividing the height of the plant by the number of the respective week:

k = 18 inches /6 weeks = 15 inches /5 weeks = 12 inches/4 weeks = 3 inches/week

By the consideration of direct proportionality, the constant of proportionality for the height of the plant is equal to 3 inches per week.

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A histogram is a univariate display of quantitative data that organizes data into bins and shows the frequency of observations within each bin.


A histogram is a graphical representation that displays the distribution of quantitative data. It consists of a series of contiguous bars, where each bar represents a specific range or bin of values, and the height of the bar corresponds to the frequency or count of observations falling within that range.

Histograms are commonly used to visualize the shape, central tendency, and spread of a dataset. By examining the heights of the bars, one can determine the frequency of values within each bin and identify patterns such as peaks or clusters. This makes histograms an effective tool for exploring the distribution and characteristics of a single variable in a dataset.

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Answer:

12

Step-by-step explanation:

13.5 + 0.5n =19.5

0.5n=19.5 - 13.5

0.5n=6

n=6/0.5

n=12

Myers' taxable income of $49,000 was located on the tax schedule. He then added the base amount of $4,386 to the amount over $31,850 multiplied by 25%, totaling $8,673.50 in taxes.

To figure out the taxes due on Myers' taxable income of $49,000, he first located his earned income level on the tax schedule. The base amount was then calculated by entering the base amount of $4,386. Next, he found the amount over $31,850 and multiplied it by 25%, which was $7,025.00. Finally, he added the base amount and the multiplied amount over 31,850 together to get a total of $8,673.50 in taxes due. Therefore, Myers' taxable income of $49,000 was located on the tax schedule. He then added the base amount of $4,386 to the amount over $31,850 multiplied by 25%, totaling $8,673.50 in taxes.

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Answer:

8 sides and it's called an octagon.

Step-by-step explanation:

Let's begin by using the fact that the sum of the exterior angles of any polygon is always 360 degrees.

Let's call the measure of each interior angle "x". Then, you know that the measure of each exterior angle must be "x-90".

Using these expressions, you can find an equation for the sum of the exterior angles:

(number of sides) * (x-90) = 360

Simplifying this equation, you get:

number of sides = 360 / (x-90)

Now you just need to find a value of x that will make the number of sides an integer.

Since you know that the sum of the interior angles of any polygon is always (n-2)*180, where n is the number of sides, you can set up another equation:

(n-2)*180 = n*x

Simplifying this equation, you get:

n = 360 / (180-x)

You want both equations to give you an integer value of n, so you need to find a value of x that makes both denominators the same.

180-x = x-90

Solving for x, you get:

x = 135

Plugging this value of x into either equation gives you:

n = 360 / (180-135) = 360/45 = 8

So, the polygon has 8 sides and is called an octagon.

Answer:

the answer is 5

Step-by-step explanation:

a right angle has a total of 90 degrees

so you subtract 65 from 90 and get 25

that is the total degrees in the rest of the angle

then you would have to divide 25 by 5

leaving you with 5

Jeff Parent's data supports the presence of a hill on Mile 2, as there is a significant difference in the mean time it takes to ride each mile.

To test the claim that it takes the same time to ride each of the miles, we need to use a one-way ANOVA test.

Using the provided data, we calculate the mean time for each mile and find that Mile 2 has a significantly higher mean time than the other two miles. Therefore, it appears that Mile 2 has a hill.

Jeff Parent's data shows that there is a significant difference in the mean time it takes to ride each mile. Using a one-way ANOVA test with a 0.05 significance level, we found that Mile 2 has a significantly higher mean time than the other two miles. This indicates that there is a hill on Mile 2, which is causing the increased time.

Therefore, we reject the claim that it takes the same time to ride each of the miles and conclude that there is a hill on Mile 2.

Jeff Parent's data supports the presence of a hill on Mile 2, as there is a significant difference in the mean time it takes to ride each mile. This information can be useful for Jeff to adjust his training and race strategy accordingly.

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Answer:

the answer is 3, it's the smallest number you could divide it by

Answer:

A

Step-by-step explanation:

Answer choice a is correct because there is an open circle at 10 and it is shaded towards the right which represents greater! hope this helps:)

Yes, the equation y = 5x represents a proportional relationship

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=5x.

In a proportional relationship, the ratio of y to x is constant.

In the given equation the variable x and y has a proportional relationship.

The equation is in the form of y=mx+b

the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.

Hence,  Yes, the equation y = 5x represents a proportional relationship

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Step-by-step explanation:

hope it will help you market is brilliant

The ratio of corresponding sides is same for all the sides for similar polygon. the correct proportion is,

\(\frac{ST}{EF}=\frac{WR}{CD}\)

Thus the option H is the correct option.

To find the correct proportion we need to know about the properties of slimier polygon.

Two polygons are said to be similar or congruent pentagon-

The corresponding angle of two pentagons are congruent.

The ratio of corresponding sides is same for all the sides.

The figure given in the problem of similar two polygons with six sides.

Rearrange the second figure as shown in figure.

As for the similar polygons, the ratio of corresponding sides is same for all the sides.

Thus the sides shown in the two rearranged figure must be same. Therefore,

\(\frac{ST}{EF}=\frac{WR}{CD}\)

Hence the correct proportion is,

\(\frac{ST}{EF}=\frac{WR}{CD}\)

Thus the option H is the correct option.

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A) The total no. of students taking only maths is 220 students.

let's say the total no. of students taking only maths = M

M = 360 - (100 + 40) = 220 students.

B) The total no. of students in the survey is 960 students.

let's say the total no. of students in the survey = S

S = 360 + 280 + 300 - (100 + 120 + 110) + 40 = 960 students.

C) The total no. of students who are taking exactly two of the courses is 330 students.

let's say the total no. of students who are taking exactly two of the courses = T

T = 100 + 120 + 110 = 330 students.

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The Markup percentage based on cost if the wholesaler paid $780 for the guitar is 79%

Given,

The cost price of the guitar = $780

The selling price of the guitar = $1396.20

We have to find the markup percent based on the cost;

Markup percentage;

The gross profit of a unit, which is its sales price less its cost to produce or acquire for resale, is divided by the unit's cost to determine the markup %.

Markup percent = (Selling price - cost price) / cost price x 100

= (1396.20 - 780) / 780 x 100

= 616.20 / 780 x 100

= 0.79 x 100

= 79%

That is,

The Markup percentage based on cost if the wholesaler paid $780 for the guitar is 79%

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Factorizing this expression p² - 36 = (p+6 )(p − 6)

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

The expression is given as p² - 36. This will be:

= p² - 6²

= (p - 6) (p + 6)

In conclusion, the expression is (p - 6) (p + 6)

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A researcher records the following scores on a working memory quiz for two samples. Sample B has the largest standard deviation.

To determine which sample has the largest standard deviation, we need to calculate the standard deviation for both samples. Here are the steps to calculate the standard deviation:

1. Find the mean (average) of each sample.
2. Calculate the difference between each score and the mean.
3. Square the differences.
4. Find the mean of the squared differences.
5. Take the square root of the mean of the squared differences.

Sample A:
1. Mean: (2+3+4+5+6+7+8)/7 = 5
2. Differences: -3, -2, -1, 0, 1, 2, 3
3. Squared differences: 9, 4, 1, 0, 1, 4, 9
4. Mean of squared differences: (9+4+1+0+1+4+9)/7 = 28/7 = 4
5. Standard deviation: √4 = 2

Sample B:
1. Mean: (4+5+6+7+8+9+10)/7 = 7
2. Differences: -3, -2, -1, 0, 1, 2, 3
3. Squared differences: 9, 4, 1, 0, 1, 4, 9
4. Mean of squared differences: (9+4+1+0+1+4+9)/7 = 28/7 = 4
5. Standard deviation: √4 = 2

Both samples have the same standard deviation of 2.

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Answer:

yes u got t right I think so it's 10

The measure of angle B is 75 degrees.  

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50°

Vertical angles are congruent, so Angle B = 75 degrees.  

Supplementary angles add up to 180 degrees so Angle A is 105 degrees.

Two angles are supplementary if the sum of their measures is 180 degrees.

If angle A is vertical to a 75 degree angle, then the measure of angle A must be 105  degrees.

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