make a sketch of a linear relationship with slope of 3 that is not a proportional relationship,show how you know that the slope is 3

Answer:

[4] Function

[5] Not a function

[6] Function

Step-by-step explanation:

    The vertical line test is a test to determine if the line graphed is a function. Taking a vertical line, you move it left and right through the graph. If, at any point, there are two or more intersections in the vertical line, the graph is not a function.

     4 and 6 pass the test meaning they are functions, 5 does not.

The preparation of an accrual basis income statement for Zambrano Wholesale Corporation for the year ended December 31, 2021, is as follows:

Zambrano Wholesale Corporation

For the year ended December 31, 2021

Sales Revenue       $705,000

Cost of goods sold  408,000

Gross profit            $297,000

Interest Revenue         4,000

Total income         $301,000

Insurance Expense  $6,500

Interest Expense        1,000

Rent Expenses        23,000

Salary Expenses    214,000

Total Expenses   $244,500

Net income           $56,500

Using an accrual basis,  the income statement summarizes the revenue and expenses of the relevant period, whether they involve cash transactions.

The accrual basis ensures that all revenues and expenses relating to the financial period are recognized.

1. Interest Receivable $3,000 ($3,000 + $50,000 x 8% - $4,000) Cash $4,000 Interest Receivable $3,000 Interest Revenue $4,000

2. Insurance Expense $6,500 Prepaid Insurance $6,500 ($2,500 + $6,000 x 8/12)

3. Interest Expense $1,000 ($100,000 x 6% x 2/12) Interest Payable $1,000

4. Rent Expenses $23,000 Prepaid Rent $23,000 ($11,000 + $24,000 - $12,000)

Salary Expenses = $214,000 ($210,000 + 24,000 - 20,000)

Sales Revenue = (Receipts from customers + Ending balance - Beginning balance)

= $705,000 ($675,000 + 92,000 - 62,000)

Cost of goods sold = Beginning inventory + purchases - Ending inventory)

= $408,000 ($80,000 + 390,000 - 62,000)

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From customers $675,000

Interest on note 4,000

Loan from a local bank 100,000

Total cash receipts $779,000

Purchase of merchandise $390,000

Annual insurance payment 6,000

Payment of salaries 210,000

Dividends paid to shareholders 10,000

Annual rent payment 24,000

Total cash disbursements =$640,000

Cash- $25,000   $164000

Accounts Receivable- $62,000 92,000

Inventory- $80,000 62,000

Prepaid insurance $2,500 $6,000

Prepaid rent $11,000  $2,000

Interest receivable $3,000 $3,000

Notes receivable $100,000 50,000

Equipment $100,000 100,000

Accumulated depreciation (40,000)  (50,000)

Accounts payable (for merchandise) $110,000 122,000

Salaries payable $20,000 24,000

Notes payable $0  $100,000

Interest payable $0 $1,000

Answer:

18 nickels, 9 dimes, and 6 quarters.

Step-by-step explanation:

Answer:

18 nickels, 9 dimes, and 6 quarters

Step-by-step explanation:

Answer:

I think 72,000 because since the weightlifter is lifting 72 and it is kg. It is turned into grams. multiplied by 1000 so 72000

Answer:

f(-1) = 2

f(0) = 3

Step-by-step explanation:

f(a) = 3a - a²

Answer:

The 3rd and the 4th statement are not the true statements.

Step-by-step explanation:

In the 3rd statement, if you put a=-1 into the equation f(a), it would be

=3x(-1) - (-1)2

=-3 - 1

=-4.

In the 4th statement, if you put a=0 into the equation f(a), it would be

=3x(0) - (0)2

=0 - 0

=0.

For the other statements, they show the correct results.

Answer:

1)  695.3 m²

2)  8 ft

3)  172.0 in²

Step-by-step explanation:

To find the area of a regular polygon, we can use the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

Given the polygon is an octagon, n = 8.

Given each side measures 12 m, s = 12.

Substitute the values of n and s into the formula for area and solve for A:

\(\implies A=\dfrac{(12)^2 \cdot 8}{4 \tan\left(\dfrac{180^{\circ}}{8}\right)}\)

\(\implies A=\dfrac{144 \cdot 8}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{1152}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{288}{\tan\left(22.5^{\circ}\right)}\)

\(\implies A=695.29350...\)

Therefore, the area of a regular octagon with side length 12 m is 695.3 m² rounded to the nearest tenth.

\(\hrulefill\)

The sum of an interior angle of a regular polygon and its corresponding exterior angle is always 180°.

If the exterior angle of a polygon measures 40°, then its interior angle measures 140°.

To determine the number of sides of the regular polygon given its interior angle, we can use this formula, where n is the number of sides:

\(\boxed{\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}}\)

Therefore:

\(\implies 140^{\circ}=\dfrac{180^{\circ}(n-2)}{n}\)

\(\implies 140^{\circ}n=180^{\circ}n - 360^{\circ}\)

\(\implies 40^{\circ}n=360^{\circ}\)

\(\implies n=\dfrac{360^{\circ}}{40^{\circ}}\)

\(\implies n=9\)

Therefore, the regular polygon has 9 sides.

To determine the length of each side, divide the given perimeter by the number of sides:

\(\implies \sf Side\;length=\dfrac{Perimeter}{\textsf{$n$}}\)

\(\implies \sf Side \;length=\dfrac{72}{9}\)

\(\implies \sf Side \;length=8\;ft\)

Therefore, the length of each side of the regular polygon is 8 ft.

\(\hrulefill\)

The area of a regular polygon can be calculated using the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

A regular pentagon has 5 sides, so n = 5.

If its perimeter is 50 inches, then the length of one side is 10 inches, so s = 10.

Substitute the values of s and n into the formula and solve for A:

\(\implies A=\dfrac{(10)^2 \cdot 5}{4 \tan\left(\dfrac{180^{\circ}}{5}\right)}\)

\(\implies A=\dfrac{100 \cdot 5}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{500}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{125}{\tan\left(36^{\circ}\right)}\)

\(\implies A=172.047740...\)

Therefore, the area of a regular pentagon with perimeter 50 inches is 172.0 in² rounded to the nearest tenth.

Answer:

1.695.29 m^2

2.8 feet

3. 172.0477 in^2

Step-by-step explanation:

1. The area of a regular octagon can be found using the formula:

\(\boxed{\bold{Area = 2a^2(1 + \sqrt{2})}}\)

where a is the length of one side of the octagon.

In this case, a = 12 m, so the area is:

\(\bold{Area = 2(12 m)^2(1 + \sqrt{2}) = 288m^2(1 + \sqrt2)=695.29 m^2}\)

Therefore, the Area of a regular octagon is 695.29 m^2

2.

The formula for the exterior angle of a regular polygon is:

\(\boxed{\bold{Exterior \:angle = \frac{360^o}{n}}}\)

where n is the number of sides in the polygon.

In this case, the exterior angle is 40°, so we can set up the following equation:

\(\bold{40^o=\frac{ 360^0 }{n}}\)

\(n=\frac{360}{40}=9\)

Therefore, the polygon has n=9 sides.

Perimeter=72ft.

We have

\(\boxed{\bold{Perimeter = n*s}}\)

where n is the number of sides in the polygon and s is the length of one side.

Substituting Value.

72 feet = 9*s

\(\bold{s =\frac{ 72 \:feet }{ 9}}\)

s = 8 feet

Therefore, the length of each side of the polygon is 8 feet.

3.

Solution:

A regular pentagon has five sides of equal length. If the perimeter of the pentagon is 50 in, then each side has a length = \(\bold{\frac{perimeter}{n}=\frac{50}{5 }= 10 in.}\)

The area of a regular pentagon can be found using the following formula:

\(\boxed{\bold{Area = \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *s^2}}\)

where s is the length of one side of the Pentagon.

In this case, s = 10 in, so the area is:

\(\bold{Area= \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *10^2=172.0477 in^2}\)

Drawing: Attachment

The new coordinates of the vertices of the translated triangle are A′(−3, 6), B′(0, 10), and C′(−3, 3). (option 2)

A triangle is a three-sided polygon with three vertices. In this problem, we are given a triangle ABC with vertices A(−3, 3), B(0, 7), and C(−3, 0). The coordinates of the vertices represent the location of each vertex in the coordinate plane.

Using this method, we can determine the new coordinates of the vertices of the translated triangle. The options given for the new coordinates of the vertices are:

A′(−3, 0), B′(0, 4), C′(−3, −3)

A′(−3, 6), B′(0, 10), C′(−3, 3)

A′(−6, 3), B′(−3, 7), C′(0, 0)

A′(0, 3), B′(3, 5), C′(0, 0)

We can check each option by adding 3 to the y-coordinate of each vertex in the original triangle.

In the first option, the new coordinates of vertex A are (−3, 3+3) = (−3, 6), which matches the coordinates given in option 2.

Therefore, the correct answer is option 2.

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The height of the kite from the ground when the angle is 50 degrees is 232 feet.

The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.

Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.

To find the height of the kite above the ground we use the trigonometric identity of tangent.

Thus, we have:

tan(50°) = h/200

Now, using cross multiplication:

h = 200 tan(50°) ≈ 232 feet

Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.

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Answer:

C. 15, 16, 16, 17, 19, 20, 21, 23, 32, 42.

Step-by-step explanation:

Using the key: 2|4 = 24, the following are the set of data represented by the stem-and-leaf plot showing:

Row one, 1| 5 6 6 7 9:

This means there are 5 data set for the first row which are:

15, 16, 16, 17, 19

Row two, 2|0 1 3:

There are 3 data here, which are:

20, 21, 23

Row 3, 3|2: = 32

Row 4, 4|2: = 42

The correct set of data are 15, 16, 16, 17, 19, 20, 21, 23, 32, 42.

Correct option is C.

12 = -8x + y

and

12= -6 - 4x - 2y

By substraction eliminate y ,multiplying by 2

24 = -16x + 2y

12 + 6 = -4x - 2y

Then

24 + 18 = -20x

42/-20= x

21/-10= x

Now find y

y= 12 + 8x = 12 + 8(-21/10)

y= 12- 16.8 = -4.8

So then answers are

x= -21/10

y= -4.8

The number of students who offered Accountancy only is 10.

Let's represent the number of students who offered Mathematics as M, the number of students who offered Accountancy as A, and the number of students who offered Economics as E.

From the given information:

M = 30 (Number of students who offered Mathematics)

A = 20 (Number of students who offered Accountancy)

E = 40 (Number of students who offered Economics)

We are also given the following conditions:

M ∩ A > A ∩ E by 2

M ∩ E = 0

We know that the total number of students is 80, so:

M + A + E = 80

Now, let's solve for the number of students who offered Accountancy only.

We can start by substituting the given values into the equation:

30 + 20 + 40 = 80

Now, we need to find the value of A ∩ E (Number of students who offered both Accountancy and Economics).

Since none offered both Mathematics and Economics, we can subtract M from A:

A - M = A ∩ E

20 - 30 = A ∩ E

-10 = A ∩ E

Since A ∩ E cannot be a negative number, we know that A ∩ E = 0.

Now, let's use the first condition: M ∩ A > A ∩ E by 2.

Substituting the values, we have:

M ∩ A - A ∩ E = 2

M ∩ A - 0 = 2

M ∩ A = 2

Now, we can substitute the values of M ∩ A and M into the equation M + A + E = 80:

30 + A + 40 = 80

A + 70 = 80

A = 10

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Since no diagram attached there are two possible options.

Option 1

The quadrilateral is parallelogram.

In this case ∠A and ∠D sum up to 180°, therefore:

Option 2

The quadrilateral is isosceles trapezoid.

In this case ∠A is congruent with ∠D, therefore:

Answer:

115

Step-by-step explanation:

With the help of proportions in the given similar triangles we know that the value of x is 3.5 units.

Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image.

One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.

These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for figuring out how similar triangles are to one another.

So, in the given situation:

TR and WY are as follows:
TR/WU

24/2

2/1

Similarly,

TS/WV

2/1

7/x

7/3.5

Therefore, with the help of proportions in the given similar triangles we know that the value of x is 3.5 units.

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We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer:

Step-by-step explanation:

The mean of the data set will decrease.

The median will not change.

The range will increase.

The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.

Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.

For example, let's say one missing value is x = 3. We can substitute this into the equation:

y = 2(3) + 4

y = 6 + 4

y = 10

So, the missing ordered pair is (3, 10).

Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:

8 = 2x + 4

4 = 2x

x = 2

So, the missing ordered pair is (2, 8).

In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

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Given statement solution is :- The actual length of the part is 3751/64 inches.

To find the length of the actual part, you can use the scale factor and the length of the part on the drawing. The formula for finding the actual length is:

Actual Length = Length on Drawing × Scale Factor

In this case, the length on the drawing is given as 3 7/8 inches, and the scale factor is given as 15 ¹/8. Let's calculate the actual length:

Length on Drawing = 3 7/8 inches = (3 × 8 + 7) / 8 = 31/8 inches

Scale Factor = 15 ¹/8

Now we can substitute the values into the formula:

Actual Length = (31/8 inches) × (15 ¹/8)

To perform the multiplication, we can convert the mixed fraction into an improper fraction:

15 ¹/8 = (15 × 8 + 1) / 8 = 121/8

Now we can multiply the fractions:

Actual Length = (31/8) × (121/8)

To multiply fractions, we multiply the numerators together and the denominators together:

Actual Length = (31 × 121) / (8 × 8)

Actual Length = 3751 / 64

Therefore, the actual length of the part is 3751/64 inches.

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Rounded to the nearest tenth, the area of the region that receives the radio signal is approximately 6,366.2 square miles.

Consider a plane region described by a xy-plane graph. The signed area of the region is defined as the area of the graph on or above the x-axis. The negative area of the graph is defined as the area below the x-axis.

The formula A = πr² gives the area of a circle with radius r. In this case, the radio station broadcasts over a 45-mile radius, so the region that receives the radio signal is:

A = π(45)²

A ≈ 6,366.2 square miles

The area of the region that receives the radio signal is approximately 6,366.2 square miles when rounded to the nearest tenth.

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Answer: Log9,(11/7)^4

Step-by-step explanation:

according to the rules of logarithm

1)Subtraction sign(-) becomes division(÷),while addition(+)becomes multiplication (x)

2) the number in front of the log figure becomes an indices

Answer:

log9 (11/7)4

Step-by-step explanation:

got it right on the test

As per the concept of covariance, the correlation between the scores of students from the two parts of the quiz is 9.6

What is meant by covariance and correlation?

In math, the covariance is a measure of the linear relationship between two random variables where as the correlation is used to measure the linear relationship between two random variables if it is zero then variables are said to be uncorrelated and if one then perfectly correlated.

Here we have given that, instructor has given a short quiz consisting of two parts and the  accompanying table shows the number of students who obtained the indicated points for X (rows) and Y (column).

And we need to find the the correlation between the scores of students from the two parts of the quiz.

Let us consider X refers the number of points earned on the first part and Y refers the number of points earned on the second part.

=> E(max(a, x)) = ∑ₐ∑ₓ y max(x, y)p(x, y)

And then when we apply the values on it, then we get,

=> max(0, 0)p(0, 0)+max(0, 5)p(0, 5)+· · ·+max(10, 10)p(10, 10)+max(10, 15)p(10, 15)

When we simplify this one, then we get,

=> 0 ∗ 0.02 + 5 ∗ 0.06 + · · · + 10 ∗ 0.14 + 15 ∗ 0.01 = 9.6.

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Possible Answers:

y = 1/4x + 17

y = -4x + 17

y = 3x + 5

y = 4x - 17

Correct answer:

y = -4x + 17

Explanation:

Using the slope intercept formula, we can see the slope of line p is ¼. Since line k is perpendicular to line p it must have a slope that is the negative reciprocal. (-4/1) If we set up the formula y=mx+b, using the given point and a slope of (-4), we can solve for our b or y-intercept. In this case it would be 17.

Answer:

um well i can do part A

Step-by-step explanation:

its 6/24 which equals 1/4 yards

Answer:

3.14159265358979323846264338327

Step-by-step explanation:

Answer:

Perfect cube

Step-by-step explanation:

5 x 5 x5 = 125

5x5= 25

25x5 =125

Answer:

It is a perfect cube with sides of 5.

Step-by-step explanation:

If 125 was a perfect square, there would be a whole number A which, squared, would give us 125.

\(A^2 = 125\\A = \pm 11.18...\)

We can see that the roots are not whole numbers.

(Tip: without a calculator, we can find this by testing \(10^2 \ 11^2\ 12^2\) to see if any give us 125. We get 100, 121, 144 respectively. None of them is 125.)

If it was a perfect cube, there would be a whole number B which, cubed, would give us 125.

\(B^3 = 125\\B = \sqrt[3]{125} \\B = 5\)

As we can see, there IS a whole number B: 5 !

(Without a calculator, like the previous one, we could try \(4^3\ 5^3\ 6^3\) and we'd find that \(5^3\) = 125)

Answer: It is a perfect cube with sides of 5.

Answer:no idea

Step-by-step explanation:

Answer:

Last year they earned 269.28

Answer:

Its b + 5

Step-by-step explanation:

if b is blue flowers, and 5 more green than blue, it means 5 more than blue. Getting b+5!!!

Answer:

b+5

Step-by-step explanation:

If she has b amount of flowers and 5 more yellow flowers than blue flowers, you add 5 flowers to the blue flowers and you get the yellow flowers.

Since we do not know the exact amount of blue flowers, we add 5 to b.

b+5

1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.