Hey um... I have a question about Cumulative frequency diagram. Its in the picture. Please help I will give you reward I promise. If you need any clarification I will respond.​
Reward: 30 pts​

Answer:

A. 23.6

Step-by-step explanation:

Let the dotted line be y

Then

and

So

Correct answer is A. 23.6

Answer:

23.6

Step-by-step explanation:

Answer:

3. 5cm

\(4. \: {a}^{2} + {b}^{2} = {c}^{2} \)

Step-by-step explanation:

3. the hypotenuse C squared = side A squared + side B squared. So 3 × 3=9 and 4 × 4 =16 therefore 9 + 16 =25 and the square root of 25 = 5.

4. In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Answer:

x = 6.24

Step-by-step explanation:

x =

Tan32° = OPP/ADJ

Tan32° = x/10

0.624 = x/10

cross-multiply

x = 6.24

Answer:

495 cbin

Step-by-step explanation:

Volume of a box = l*w*h

V=5*9*11

V=495

Answer:

Vertex: (-2, 3)

Step-by-step explanation:

We first have to find the x - variable of the vertex point.

The formula to find the x - variable is x = -b/ 2a.

\(3x^{2} + 12x + 15\)

a        b        c

Substitute the values into the formula.

x = - 12 / 2(3)

x = - 12 / 6

x = - 2       < - This is the x - variable

Now we have to find the y - variable of the vertex point.

To find the y - variable, we have to substitute the x value into the original equation (\(3x^{2} + 12x + 15\)).

g(x) = y    

\(y = 3(-2)^{2} + 12(-2) + 15\\\)

\(y = 3(4) - 24 + 15\)

\(y = 12 - 24 + 15\)

\(y = - 12 + 15\)

\(y = 3\)

So, now that we have the x and y values, we can find the vertex which is (-2, 3).

Hope this helps!

Answer:

400 litres

Step-by-step explanation:

Answer:

Step-by-step explanation:

You paid C dollars for an item that you sold at a 6% profit.

F = 1.06C

The three consecutive numbers that have a sum of 12 is 3, 4 and 5. The formula for calculation is x + x + 1 + x + 2 = 12.

Let the first number in three consecutive numbers be x. So, the next two numbers will be (x+1) and (x+2). Now, their sum wil be represented as mathematical equation -

x + x + 1 + x + 2 = 12

Performing addition on Left Hand Side of the equation

3x + 3 = 12

Rewriting the equation

3x = 12 - 3

Performing subtraction on Right Hand Side of the equation

3x = 9

x = 9/3

Performing division on Right Hand Side of the equation

x = 3

So, next number = x+1

Second number = 3+1

Second number = 4

Third number = x+2

Third number = 3+2

Third number = 5

Hence, the three consecutive numbers are 3, 4 and 5.

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Answer:

4

Step-by-step explanation:

4, count the spaces as in the figure

Adding and Subtracting Rational Expressions Adding and subtracting rational expressions require the following The rational expressions must have a common denominator.Add or subtract the numerators of the rational expressions and write the result over the common denominator.

Simplify the resulting expression if necessary. When adding or subtracting rational expressions, the common denominator is usually determined by finding the least common multiple (LCM) of the denominators.

The LCM is the smallest expression that can be divided evenly by the denominators.In the case of the addition and subtraction of rational expressions, the rational expressions must have a common denominator. When adding or subtracting rational expressions with the same denominator, add or subtract the numerators of the rational expressions and write the result over the common denominator.

The resulting expression can then be simplified by factoring, canceling out, and then simplifying the factors that remain.If the rational expressions have different denominators, find the LCM of the denominators. The LCM is then used to create equivalent fractions with the same denominator.

After that, you can add or subtract the numerators and simplify the resulting fraction.For example, consider the addition of the rational expressions `3/x` and `2/x+3`.

To add these two rational expressions, the denominators of the two fractions must first be combined. This is done by finding the LCM of the two denominators, which is `x(x + 3)`

.Then, multiply the first fraction by\(\frac{`(x + 3)}{(x + 3)`}\) and the second fraction by `x/x`.This results in \(\frac{`(3(x + 3) + 2x)} {x(x + 3)`}\) after adding the numerators. Simplify by combining like terms and factoring the numerator, resulting in

\(\frac{x`(5x + 9 }{(x(x + 3))}`\).

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Answer: The company will recognize commission expense in the amount of $2,400 in December

Step-by-step explanation:

Based on the information given in the question, the company will recognize commission expense in the amount of $2,400 in December.

A commission is regarded as a fee which is paid to a salesperson by a company in exchange for completing a sale.

It should be noted that in the accrual basis of accounting, commission should be recorded in the same period as when the sale generated was generated.

Answer:

b. The company will recognize commission expense in the amount of $2,400 in December.

Step-by-step explanation:

Based on the information given the statements that is true will be: THE COMPANY WILL RECOGNIZE COMMISSION EXPENSE IN THE AMOUNT OF $2,400 IN DECEMBER reason been that each salesperson were paid a commission in the amount of $800 for each cycle sold, which is 3 cycles during the month of December.

Calculation to determine the Commission Expense

Commission Expense=$800*3 cycles

Commission Expense=$2,400

Therefore The company will recognize commission expense in the amount of $2,400 in December.

Answer:

Step-by-step explanation:

Let \(\alpha, \alpha^2\) be the roots.

\(\therefore \alpha + \alpha^2 = -\frac{b}{a} =\)

\(\therefore \alpha^3 = \frac{c}{a}\)

\(\rightarrow \alpha = (\frac{x}{y}) ^{\frac{1}{3}}\)

\(\alpha + \alpha^2 = -\frac{b}{a}\)

\(\rightarrow (\frac{c}{a})^{\frac{1}{3}} + (\frac{c}{a})^{\frac{2}{3}} = (-\frac{b}{a})\)

\(\rightarrow ((\frac{c}{a})^{\frac{1}{3}} + \frac{c}{a})^{\frac{2}{3}})^3 = -\frac{b^3}{a^3}\)

\(\rightarrow (\frac{c}{a})^{\frac{3}{3}} + (\frac{c}{a})^{\frac{2}{3} * 3} + 3 * (\frac{c}{a})^{\frac{1}{3} + \frac{2}{3}} ((\frac{c}{a})^{\frac{1}{3}} + (\frac{c}{a})^{\frac{2}{3}}) = \frac{-b^3}{a^3}\)

\(\rightarrow \frac{c}{a} + (\frac{c}{a})^2 + 3(\frac{c}{a})(-\frac{b}{a}) = \frac{-b^3}{a^3}\)

\(\rightarrow \frac{c}{a} + \frac{c^2}{a^2} - \frac{3bc}{a^2} + \frac{b^3}{a^3} = 0\)

\(\rightarrow ca^2 + ac^2 - 3abc + b^3 = 0 \Rightarrow b^3 + ac^2 + a^2c = 3abc\)

Source: https://www.doubtnut.com/question-answer/if-one-root-of-the-equation-ax2-bx-c0-is-the-square-of-the-other-prove-that-b3-ac2-a2c3abc-127291775

Answer:

Option (d)

Step-by-step explanation:

From the given table,

Number of members in 1980 (t = 0) were 5400.

With the period of time number of members increased.

Let the number of years after 1980 = x

Therefore, line of best fit will be in the form of y = mx + b

Where b = Initial number of members = 5400

m = Increase in members in every 5 years duration

So the equation will be,

y = mx + 5400

From the given options,

Equation which matches to our equation is,

y = 310.58x + 5400

For the number of members in year 2022,

x = 2022 - 1980 = 42 years

y = 310.58(42) + 5400

y = 18445

Option (d) will be the answer.

The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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Answer:

f(x) = -7x + 1

Step-by-step explanation:

Slope intercept form is

y = mx + b

m is slope

b is y-intercept

--------------------------

y decreases by 7 for each increase of 1 in x

slope = -7

to find "b" plug in one of the points and m = -7

using point (3, -20)

y = mx + b

-20 = -7(3) + b

-20 = -21 + b

b = 1

The equation is

f(x) = -7x + 1

Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out

Distance travelled with 20 l of petrol in solution and final answer.

Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.

The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.

Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.

As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.

Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.

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Answer:

2) Correct

3) Correct

4) Correct

5) Correct

U got them all correct! Nice

Step-by-step explanation:

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The equation of each line that satisfies the given conditions are:

1. y - 2 = 5/2(x - 3)

2. y - 4 = m(x + 3)

3. y = -3x + 5

1. Given the points, (3, 2) and (5, 7), find the slope (m):

Slope (m) = change in y / change in x = (7 - 2)/(5 - 3)

m = 5/2

Write the equation in point-slope form by substituting m = 5/2 and (a, b) = (3, 2) into y - b = m(x - a):

y - 2 = 5/2(x - 3)

2. Given:

A point = (-3, 4)

Slope (m) = 2

Substitute (a, b) (-3, 4), and m = 2 into y - b = m(x - a):

y - 4 = m(x + 3) [equation of the line]

3. Given:

Slope (m) = -3

Y-intercept (b) = 5

Substitute m = -3 and b = 5 into the equation y = mx + b:

y = -3x + 5

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The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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Answer: 48

Step-by-step explanation: Do 24 divided by 0.50 which will give you 48

P.S. Hope this helps!

Answer:

$48

Step-by-step explanation:

100%-50%=50%

50%=24

100%=24x2=48

Hope this helps! Thanks

Problem 1

Reason: We start at 0 and move 4 units left. This is represented by 0+(-4) or 0-4. That simplifies to -4. Then add on 7 to move 7 units to the right to arrive at 3 as the final destination.

=============================================

Problem 2

Reason: We start at 0 and move 8 units to the right. That is represented by +8 or simply 8. Then the +3 will move us 3 more units to the right to get to 11 on the number line. This is one visual way to see why 8+3 = 11.

The equation of the perpendicular bisector of the line segment is y = - (1 / 2) · x - 2.

In this problem we find a line segment whose endpoints are known and we need to determine the equation of the line perpendicular such that the segment is partitioned into two segments of equal length. Now we present the procedure. First, determine the coordinates of the midpoint:

M(x, y) = 0.5 · (8, - 1) + 0.5 · (4, - 9)

M(x, y) = (6, - 5)

Second, determine the slope of the line segment:

m = [- 9 - (- 1)] / (4 - 8)

m = (- 8) / (- 4)

m = 2

Third, calculate the slope of the bisector:

m' = - 1 / m

m' = - 1 / 2

Fourth, determine the intercept of the bisector:

b = y - m' · x

b = - 5 - (- 1 / 2) · 6

b = - 5 + 3

b = - 2

The equation of the perpendicular bisector of the line segment is y = - (1 / 2) · x - 2.

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The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

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Answer:

a = 120°

b = 55°

c = 25°

Step-by-step explanation:

a = 40 + 80 = 120° (exterior angle)

180 - 95 = 85° (sum of adjacent angles on a straight line=180)

b = 180 - 85 - 40 = 55° (sum of angles in a triangle=180)

180 - 120 = 60° (sum of adjacent angles on a straight line=180)

c = 180 - 60 - 95 = 25° (sum of angles in a triangle=180)

The value of angle a is 120°

The value of angle b is 55°

The value of angle c is 25°

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Angle a is an exterior angle along with 40° and 80°.

a = 40 + 80

a = 120°

The adjacent angle along with angle a makes 180 degrees.

Adjacent angle = m ( consider )

a + m = 18

120 + m = 180

m = 180 - 120

m = 60

The triangle with angles c, 95°, and m.

The sum of angles in a triangle is 180 degrees.

c + 95 + m = 180

c + 95 + 60 = 180

c = 180 - 95 - 60

c = 180 - 155

c = 25°

The adjacent angle along with 95°.

Adjacent angle = n ( consider )

n + 95 = 180

n = 180 - 95

n = 85

The sum of the angles in the triangle that contains b, 40°, and n.

b + 40 + n = 180

b + 40 + 85 = 180

b = 180 - 125

b = 55°

Thus,

The value of angle a is 120°

The value of angle b is 55°

The value of angle c is 25°

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Answer:

7. x = 37.5

8. x = 8

Step-by-step explanation:

7. The sides of the triangles are proportional, therefore:

x/20 = (46 - 16)/16

x/20 = 30/16

Cross multiply

x*16 = 30*20

16x = 600

Divide both sides by 16

x = 600/16

x = 37.5

8. The sides of the triangles are proportional. Therefore,

(7x - 1)/22 = (3x + 1)/10

Cross multiply

10(7x - 1) = 22(3x + 1)

70x - 10 = 66x + 22

Collect like terms

70x - 66x = 10 + 22

4x = 32

4x/4 = 32/4

x = 8

Answer: Answer is (-1,-4).

\(\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{-3} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 2}{2(1)}~~~~ ,~~~~ -3-\cfrac{ (2)^2}{4(1)}\right)\implies \left( -1~~,~~-3-1 \right)\implies (-1~~,~~-4)\)

Answer:

Let's call the number we are looking for "x". We are told that the digit 8 appears ten times as often in "x" as it does in 18.

The digit 8 appears once in the number 18, so it must appear 10 times in "x".

Let's count the number of 8's in "x" in terms of the number of digits of "x".

If "x" has 1 digit, then it cannot have 10 8's, so we can rule out this case.

If "x" has 2 digits, then the maximum number of 8's it can have is 9 (e.g., 88). This is still not enough, so we can rule out this case as well.

If "x" has 3 digits, then the maximum number of 8's it can have is 27 (e.g., 888), which is enough.

Therefore, the number we are looking for is a 3-digit number that contains 10 8's. We can write such a number as:

x = 888x8x8x8

where "x" can be any digit other than 8.

Note that there are other 3-digit numbers that contain 10 8's, but this is one possible solution.

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