Which statement is true
A)Only graph A is a function
B)Only graph B is a function
C)Both graphs are functions
D)Neither graph is function

Depreciation expense is  $20,121  in equation .

What is Depreciation expense?

Additional to retained earnings                =  5,900

Add : dividends paid                                  =  2,040

Net income                                                 = $7940

Tax                                                              =  22%

Before tax income 97940 -/( 1 - 0.22)       =  $10179.48

Add : Interest expense                              =   $4600

operating income                                      =                            $14,779.48      

Sales                                                            =  $66,000    

Less : costs                                                = $31,100

Gross profit                                                  =                             $34,900

Depreciation expense                                =                              $20,121

(34,900 - 14,779.48)

Depreciation expense is    $20,121 .

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Answer: 1.90129068E57

Step-by-step explanation:

Answer:1.9012907e+57

Step-by-step explanation:

In linear functions, there is a constant difference between the y-values on a table. This means that it increases or decreases by the same amount per every equal interval.

For instance: 2, 4, 6, 8 ⇒ Constant difference of 2 every 1 term

To find the constant difference for this set of values, determine the constant difference (y), and by what interval this difference occurs (x).

Looking at the first two rows of the table, we now know that for every increase in 3 in the x-values yields an increase of 15 in the y-values.

We can write it like a fraction, with difference in y on top and difference in x at the bottom:

[tex]\dfrac{15}{3}[/tex] ⇒ [tex]5[/tex]

Congratulations! We have now found the slope of the line.

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

Plug in our slope, and solve for the y-intercept by using one of the given points from the table:

[tex]y=5x+b\\-10=5(-1)+b\\-10=-5+b\\b=-5[/tex]

Plug this back into the equation:

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

To find n, plug in 20 as y and solve:

[tex]20=5n-5\\25=5n\\n=5[/tex]

n = 5

The unknown angles of the diagram is as follows;

The missing angles of the diagram can be found as follows:

The sum of angles in a triangle is 180 degrees.

Therefore,

32 + 128 + b = 180

160 + b = 180

b = 180 - 160

b = 20°

Therefore,

a = 32°(alternate angles)

Alternate angles are congruent.

180 - a - b = c (sum of angles on a straight line)

180 - 32 - 20 = c

c = 180 - 32 - 20

c = 128°

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4. The cube of 4 in expanded form is: 4 × 4 × 4 = 64.

5. Four times three is not the same thing as cube of a number, but rather 4 × 3 = 12.

The cube of a number means the number multiplied by itself three times. With the knowledge of this, we can write the cube of any number in expanded form.

For example, given a number y, the cube of y is = y³

This means that y multiplied by itself three times, which can be written in expanded form as: y × y × y = y³

If y is 2, the cube of 2 would mean: 2³ = 2 × 2 × 2 = 8.

Therefore:

4. Four cubed is 4³

In expanded form, it is: 4 × 4 × 4, which is evaluated as = 64.

5. Four times 3 in numbers is: 4 × 3, which is evaluated as = 12.

Our answer in #5 is different from our answer in #4 because cube of 4 is 4 times itself in 3 places.

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Part b.

In this case, the money is compounded quarterly, this means that n=4 (4 times per year). So, by substrituting the given values into the compound interes formula, wer have

which gives:

The plots are experimental units in this study, then the farmer is conducting an experiment to determine which variety of apple tree, fuji or gala, will produce more fruit in his orchard. So ,the answer is the plots.

Based on the given conditions.

Therefore,

The plots are experimental units in this study, then the farmer is conducting an experiment to determine which variety of apple tree, fuji or gala, will produce more fruit in his orchard. So ,the answer is the plots.

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The number 67 must be added to form the complete square ( x - 10)² to solve the quadratic equation x² - 20x + 33.

Consider the quadratic equation,

x² - 20x + 33 = 0

Comparing the equation with general form of quadratic equation ax² + bx + c = 0

We have,

a = 1, b = - 20, and c = 33

x² - 20 x +33 =0

x² - 2 × 10 x + ( 10 )² - ( 10 )² + 33 =0

By using the identity ( a - b )² = a² - 2ab + b²

( x - 10)² -100 +33 =0

( x - 10)² - 67 =0

( x - 10)² = 67

Hence, the complete square:

( x - 10 )² = 67

x - 10  = ± √67

x - 10 = ± 8.1853

So,

x - 10 = 8.2

x = 10 + 8.2

x = 18.2

And;

x - 10 = - 8.2

x = 10 - 8.2 = 1.8

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Answer:

4/-18 or 2/-9

Step-by-step explanation:

The slope of a straight line is a number that indicates how steep the line is. You can calculate the slope of a line by dividing the vertical change, called the rise, by the horizontal change, called the run, between two distinct points on the line.

Slope = change in y divided by change in x or rise divided by run

6 - 2 = 4

-12 - 6 = -18

Answer would be 4/-18

Answer:

d ≈ 10.8 feet

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( where d is the diameter )

given C = 34 , then

πd = 34 ( divide both sides by d )

d ≈ 10.8 feet ( to 1 dec. place )

Answer:

The diameter of circle is 10.82 feet.

Step-by-step explanation:

[tex]\longrightarrow\sf{Circumference_{(Circle)} = 2 \pi r}[/tex]

[tex]\longrightarrow\sf{Diameter_{(Circle)} = 2r}[/tex]

Where

Finding the radius of circle by substituting all the given values in the formula :

[tex]\longrightarrow\sf{Circumference_{(Circle)} = 2 \pi r}[/tex]

[tex]\longrightarrow\sf{34 = 2 \pi r}[/tex]

[tex]\longrightarrow\sf{34 = 2 \times 3.14 \times r}[/tex]

[tex]\longrightarrow\sf{34 = 6.28 \times r}[/tex]

[tex]\longrightarrow\sf{ r = \dfrac{34}{6.28}}[/tex]

[tex]\longrightarrow\sf{\underline{\underline{ r \approx 5.41}}}[/tex]

Hence the radius of circle is 5.41 feet

[tex]\begin{gathered} \end{gathered}[/tex]

Now, calculating the diameter of circle by substituting the given value in the formula :

[tex]\longrightarrow\sf{Diameter_{(Circle)} = 2r}[/tex]

[tex]\longrightarrow\sf{Diameter_{(Circle)} = 2 \times r}[/tex]

[tex]\longrightarrow\sf{Diameter_{(Circle)} \approx 2 \times 5.14}[/tex]

[tex]\longrightarrow\sf{Diameter_{(Circle)} \approx 10.82}[/tex]

Hence, the diameter of circle is 10.82 feet.

The function rule for the height of the eagle after s seconds is h(s) = 1284 - 88s.

The height of eagle after 7 seconds is 668 feet.

Given that:-

Height of nest = 1284 feet

Speed of the bald eagle = 88 feet/second

Hence, we can write, after s seconds,

Height of eagle after s seconds =  height of the nest - Time (in seconds) * Speed of the eagle

Hence,

h(s) = 1284 - s*88

h(s) = 1284 - 88s.

From the above equation, we can find the height of the eagle after 7 seconds.

h(7) = 1284 - 88*7 = 1284 - 616 = 668 feet.

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Answer:   (f - g)(x) = -x^2+4x+6

Work Shown:

(f - g)(x) = f(x) - g(x)

(f - g)(x) = (4x+1) - (x^2-5)

(f - g)(x) = 4x+1 - x^2+5

(f - g)(x) = -x^2+4x+(1+5)

(f - g)(x) = -x^2+4x+6

The height of the tree is 15 feet. Option C

Proportion can simply be defined as an arithmetic comparison between two quantities, numbers or elements.

It is also described as an equation where two given ratios are made equal or equivalent to each other.

From the information given, we have that;

To determine the height of the tree 'x', we have;

If 5 feet = 8 feet long shadow

Then x feet = 24 feet long

cross multiply

8 × x =  24 × 5

Multiply through

8x = 120

Divide both sides by 8, we have;

x = 120/8

x = 15 feet

Hence, the height is 15 feet

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The graphs which show functions with direct variation include the following:

B. A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).

C. A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).

E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).

A graph is a type of chart that's commonly used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

Generally speaking, the graph of any proportional relationship (direct variation) is characterized by a straight line with the points passing through the origin (0, 0) because as the values on the x-axis decreases or increases, the values on the y-axis decreases or increases simultaneously.

In conclusion, the graphs representing direct variation are shown in the image attached below.

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Complete Question:

Which graphs show functions with direct variation? Select three options.

A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4).

A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).

A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).

A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).

E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).

Answer:

[tex] \dfrac{3a^2 + 3b}{a^2 - b^2} [/tex]

Step-by-step explanation:

You can try factoring the numerator and denominator.

[tex] \dfrac{3a^2 + 3b}{a^2 - b^2} = \dfrac{3(a^2 + b)}{(a + b)(a - b)} [/tex]

Nothing cancels out, so the expression is simplified as given.

Answer: [tex] \dfrac{3a^2 + 3b}{a^2 - b^2} [/tex]

Answer: 12.5%

Step-by-step explanation:

Actual measurement of the window = 24 inches

Measured measurement of the window = 27 inches

We need to find the Rivers percent error. It can be calculated as follows :

% = (|actual value-measured value|)/actual value × 100

% [tex]=\frac{27-24}{24} \times 100\\\\[/tex]

%= 12.5%

So, River's percent error is 12.5%.

QUESTION A

To find the cost of making 300 minutes of calls, we can trace the graph from where the x-axis is 300 to the graph and then get the value on the y-axis. This is shown below:

Therefore, the cost of the plans are:

Therefore, PLAN B costs less.

The difference between the two plans will be:

Therefore, Plan B costs $4 less than Plan A.

QUESTION B

Both plans cost the same at the point where the two graphs intercept. Checking the graph, this occurs when:

Therefore, the number of minutes that both plans cost the same is 250 MINUTES.

Plan B has a constant price of $20, regardless of the number of minutes used. However, Plan A is variable. The cost of Plan A only exceeds $20 after 250 minutes.

Therefore, before this time, PLAN B costs more.

We need to know about mixed fractions to solve the problem. The simplified answer is -119/12.

Mixed fractions is a fraction that is represented by it's quotient and remainder. Mixed fractions are solved by multiplying the denominator with the number in front and then adding the numerator to it, to get the numerator of the simple fraction, the denominator of the simple fraction remains same. In the given question we need to simplify the mixed fractions and then solve it.

[tex]-3\frac{1}{4} -6\frac{2}{3}[/tex] = -13/4-20/3=-39-80/12=-119/12

Therefore the simplified answer is -119/12, option (a) is the correct answer.

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Answer:

119 over 12

Step-by-step explanation:

Answer:

12 video games

Step-by-step explanation:

[tex]6.8 {v}^{2} = 979.20[/tex]

[tex] {v}^{2} = 144[/tex]

[tex]v = 12[/tex]

Answer:

51°

Step-by-step explanation:

Recall that the angles can be named:

1) The same as the vertex.

2) With 3 points being the middle point the vertex.

3) A symbol is placed at the angle.

Answer:

1) NML, M, and 3.

2) HGF, G, and 9.

Answer:

Vertex (−3, 0), Range: {y | 0 ≤ y < ∞}

Step-by-step explanation:

See attached graph.

Answer:

see my picture, bro. hope it can help

Answer:

x = 15

y = 50

Step-by-step explanation:

Linear Pair

Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).

The angles (8x + 10)° and y° form a linear pair.  

Therefore, equate the sum of these angles to 180° and isolate y:

⇒ (8x + 10)° + y° = 180°

⇒ 8x + 10 + y = 180

⇒ 8x + 10 + y - 10 = 180 - 10

⇒ 8x + y = 170

⇒ 8x + y - 8x = 170 - 8x

⇒ y = 170 - 8x

Corresponding Angles Postulate

When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.

The angles y° and (3x + 5)° are corresponding angles and are therefore congruent:  

⇒ y° = (3x + 5)°

⇒ y = 3x + 5

Substitute the second equation for y into the first equation for y and solve for x:

⇒ 3x + 5 = 170 - 8x

⇒ 3x + 5 + 8x = 170 - 8x + 8x

⇒ 11x + 5 = 170

⇒ 11x + 5 - 5 = 170 - 5

⇒ 11x = 165

⇒ 11x ÷ 11 = 165 ÷ 11

⇒ x = 15

Substitute the found value of x into one of the expression for y and solve for y:

⇒ y = 170 - 8x

⇒ y = 170 - 8(15)

⇒ y = 170 - 120

⇒ y = 50

Final solution:

A weighted average of the share amount paid for the shares may be calculated by the investor. To achieve this, multiply the total number of shares purchased by each price, add those numbers, and then divide the total by the number of shares purchased.

This is further explained below.

The total sum of the product (or multiplication) of the weights that are associated with various investment alternatives and their corresponding results is the weighted average return. This is also known as the weighted mean return.

The total of these weights is equivalent to one hundred percent.

Generally, The investor has the ability to compute a weighted average of the share prices at which the shares were purchased.

To do this, first, multiply the number of shares bought at each price by that price, then add up the values obtained from steps one and step two, and then divide the entire value by the total number of shares.

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trapezoid is moved through the

translation (x+3, y-2)

So we add 3 to x and then subtrack -2 to y

The polynomial of specified degree is 2x²-8x²+6

Before attempting to answer a polynomial problem, write it out in standard form. Factor it, then when each variable factor reaches zero, set them all to zero. The answers to the derived equations are the solutions to the original equations. Polynomial equations are not always amenable to factoring as a solution.

Polynomials are the sums of terms of the form kxn, where k is any number and n is a positive integer. a description of polynomials, such the polynomial 3x+2x-5. This video covers the ideas of degree, standard form, monomial, binomial, and trinomial.

If √3 is a root

so is -√3

thus, the polynomial is c(x-1)(x+1)(x-√3)(x+√3) = c(x²-1)(x²-3) = c(x⁴-4x²+3)

As the constant term is 6, 3c = 6, so c = 2

2(x4-4x2+3) = 2x⁴-8x²+6

Hence The polynomial of specified degree is 2x²-8x²+6

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