Sorin Incorporated, a company that produces and sells a single product, has provided its contribution format income statement for January.



Sales (3,600 units) $ 97,200
Variable expenses 50,544
Contribution margin 46,656
Fixed expenses 37,300
Net operating income $ 9,356


If the company sells 4,100 units, its total contribution margin should be:

The perimeter or circumference and area of each figure if each unit on the graph measures 1 centimeter is 18.

The area of a circle is π[tex]r^2[/tex]

The area of a triangle is 1/2×base×height

The area of the rectangle is length×breadth

The perimeter of a circle is 2πr

so, Area of Triangle =1/2×b×h

1/2×4×9=18

A rectangle is a quadrilateral with all angles equal and opposing sides equal and parallel. There are numerous rectangular items all around us. Each rectangle shape has two dimensions: length and breadth. The length of the rectangle is known as the length, while the width is known as the width.

A rectangle is a closed two-dimensional shape with four sides. A rectangle's opposite sides are equal and parallel, and all of its angles are 90°. Examine the rectangle below to observe its form, sides, and angles.

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The equivalent expression of 9^-7 * 9^5 is 1/9^2

The expression is given as

9^-7 * 9^5

Apply the law of indices.

So, we have

9^-7 * 9^5 = 9^(-7 + 5)

Evaluate the sum

9^-7 * 9^5 = 9^-2

Rewrite as

9^-7 * 9^5 = 1/9^2

Hence, the equivalent expression of 9^-7 * 9^5 is 1/9^2

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D. The function  {(4,1), (-7,0), (-12,2), (0,0), (-12,1)} has the given domain  {-12, -7, 0, 4, 12} and range  { 0, 1, 2}.

The domain is the set of all inputs which has an output or range.The range of a function is the set of all outputs form which the domain is defied.

According to the given question domain and range of a function are given they are { -12, -7, 0, 4, 12 } and { 0, 1, 2 }.

This can be written an an ordered pair as { (-12,0), (-12,1), (-12,2), (-7,0), (-7,1), (-7,2), (0,0), (0,1), (0,2), (4,0), (4,1), (4,2), (12,0), (12,1), (12,2) }.

From the given options we can observe that in option D. which has ordered pairs { (4,1), (-7,0), (-12,2), (0,0), (-12,1) }.

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Answer: x=1.75

Step-by-step explanation:

Multiply: 12x-3=21

Subtract: 12x=21

Divide: 21/12= 1.75

Final Answer: X = 1.75

Answer:

333 ÷ 666 = 0.5

Step-by-step explanation:

Hope it helps!!! :)

Answer: 0.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

instead x in f(x) we put g(x) in it.

f(g(x))= 3(7x-3)+1

=21x - 9 +1= 21x -8

Answer: (0,11)

Step-by-step explanation:

The y-intercept is when x is equal to 0, so we can just plug that into get the y-coordinate.

y = |3x - 10| + 1

y = |-10| + 1

y = 10 + 1

y = 11

When the number ends in the hundredths place and 2 is the nearest one when rounding, the number is 4.26.

It should be noted that from the information, the number ends in the hundredths place and 2 is the nearest one when rounding.

Therefore, the number will be:

4.26

Therefore, when the number ends in the hundredths place and 2 is the nearest one when rounding, the number is 4.26

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Drag the numbers to match the rule

The number ends in the hundredths place.

2 is the nearest one when rounding

4,2, 6, decimal (.).

The  drawing of the number line representing the bank balances is attached below . Kyle owes the bank more money than Jason.

The number line a physical representation of all real numbers. A number line is basically a graph of all real numbers. A number line is a representation of a graduated straight line that is used to represent real numbers visually. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

On the number line all the values of the bank balances of the 3 siblings are given.

Kyle owes the bank $2.25 , therefore Sue has $2.25 in her bank account.

Now we can see in the number line that -2.25 is to the left of -2.0 ,

therefore we can say that:

|-2.25| > |-2.00|

as the absolute value of the given balance .

But  -2.25 < -2.00

Hence Kyle owes more money to the bank as represented on the number line.

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The answer to the expression is m^2/3 + 2 * m^1/3 *  y^(-1/2)  + 1/y

FOIL is a mnemonic for the standard method of multiplying two binomials, hence the method may be referred to as the FOIL method. The word FOIL is an acronym for the four terms of the product: First (“first” terms of each binomial are multiplied together)

given:

(m^1/3 + y^(-1/2))^2

we can write it as

(m^1/3 + y^(-1/2))*(m^1/3 + y^(-1/2))

=m^1/3 * m^1/3 + m^1/3 *  y^(-1/2) + y^(-1/2) * y^(-1/2) + y^(-1/2)*m^1/3

=m^2/3 + m^1/3 *  y^(-1/2) + 1/y +  y^(-1/2)*m^1/3

= m^2/3 + 2 * m^1/3 *  y^(-1/2)  + 1/y

Hence, the answer to the expression is m^2/3 + 2 * m^1/3 *  y^(-1/2)  + 1/y

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The starting salaries of new phd graduates from a statistics program illustrates a ratio data.

The four basic levels of measuring scales—nominal, ordinal, interval, and ratio are used to collect data in the form of multiple-choice questions on surveys and questionnaires.

Each scale serves the same purpose as the preceding scale, and all survey question scales are incremental levels of measurement.

Nominal: the data can only be categorized.

Ordinal: the data can be categorized and ranked.

Interval: the data can be categorized and ranked, and evenly spaced.

Ratio: the data can be categorized, ranked, evenly spaced and has a natural zero.

Therefore, the starting salaries of new phd graduates from a statistics program illustrates a ratio data.

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Answer:

simplify the reducing the index of the

21/15√x

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

The given expression is equivalent to the expression - 11/6 n - 1/12. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The sum of capacity minus three and one-third times n plus one-sixth ended capacity + capacity one and three-sixths times n minus three-twelfths end quantity.

Let n be the number. Then the expression will be

⇒ -(3  1/3)n + 1/6 + (1  3/6)n - 3/12

Simplify the equation, then we have

⇒ -(3  1/3)n + 1/6 + (1  3/6)n - 3/12

⇒ -10/3 n + 3/2 n + 1/6 - 1/4

⇒ -11/6 n - 1/12

The given expression is equivalent to the expression - 11/6 n - 1/12. Then the correct option is C.

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The proportional relation is the third one.

y = (5/6)*x

A general linear equation in the point-slope form is written as:

y = a*x + b

Where the a is the slope, and b is the y-intercept.

Particularly, a proportional relation is a linear equation where the y-intercept is equal to zero

y = a*x

And in this case, the slope is also called a constant of proportionality.

Then from the given options, the one that is a proportional relation is:

y = (5/6)*x

Which is the third option, counting from the top.

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Answer:

Probability of choosing a red marbles = 7/15

Probability of choosing a green marble = 5/15

Step-by-step explanation:

Formula = Marble/Total of the whole marble

= red marbles /Total of the whole marble

= 7/15

green marble/Total of the whole marble

= 5/15

Answer:

-i,2i

Step-by-step explanation:

zeros(2,i,-2i {5th degree}

then the conjugate zeroes are,

I,2i {conjugate zeros}

so the answer is i, 2i

The quotient form of given rational number is -7/2.

Given the rational number is -3.5.

Here, we want to write the quotient form of the given rational number.

rational numbers, in arithmetic, a number that can be expressed as the quotient p/q of two integers such that q ≠ 0.

Number 3.5 is a rational number. As we know rational numbers can also be expressed as decimals with repeating digits after the decimal point. The number7/2 is the ratio of two integers that are 7 integers divided by 2 integers and expressed in fraction (as p/q where q is not equal to 0).

Hence, the quotient form of the given rational number -3.5 is -7/2.

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Answer:

a

Step-by-step explanation:

there are not two points on the same line.

Based on the given parallelogram, a height of 5 units long as estimated by Leon is not reasonable.

The height of the parallelogram can be found by counting the number of squares from the base of the parallelogram to the top. The squares are given in the graph which is shown attached.

When this counting is done, we get 6 squares.

6 units is therefore the height of the parallelogram which means that Leon's estimate of 5 units is therefore not reasonable.

In conclusion, Leon's estimate is not a reasonable estimate.

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The loan amount at 9% interest is $48,000.

The loan amount at 12% interest is $17,000

The first step is to form a system of equations that can be used to determine the required values:

0.09a + 0.12b = $6,360 equation 1

a + b = $65,000 equation 2

Where:

a = amount of the loan at 9% interest

b = amount of the loan at 12% interest

Multiply equation 2 by 0.09

0.09a + 0.09b = 5850 equation 3

Subtract equation 3 from equation 2

0.03b = 510

Divide both sides of the equation by 0.03

b = 510 / 0.03

b = $17,000

Subtract 17,000 from 65,000

a = 65,000 - 17,000

a = $48,000

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Answer:

[tex]{ \rm{s = ut + \frac{1}{2} {at}^{2} }} \\ \\ { \rm{h = 0 + \frac{1}{2} \times 10 \times {3}^{2} }} \\ \\ { \tt{h = 5 \times 9}} \\ { \tt{h = 45 \: m}}[/tex]

Using proportions, it is found that:

a) Diana and Elsa paid $105 altogether.

b) Hannah paid Diana $21.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Hannah returned Flora $84, and Flora paid 4/5 of what Diana and Elsa paid, hence the amount Diana and Elsa received by Hannah is given as follows:

4/5x = 84

0.8x = 84

x = 84/0.8

x = 105.

Hence Diana and Elsa paid $105 altogether.

For item b, we have that the ratio of Diana and Elsa share is 1:4, hence Diana got 1/5 of the amount paid by Hannah, hence:

1/5 x 105 = 21.

Hannah paid Diana $21.

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The expected value if i play this game is 1/30 dollars.

Probability is the occurrence of a certain event out of the total events that can happen on a given satiation.

According to the given question A bag contains 2 gold marbles, 7 silver marbles, and 21 black marbles.

No. of sample space N(s) = 2 + 7 + 21 = 30.

No. of gold marbles N(g) = 2.

No. of silver marbles N(sil) = 7.

No. of black marbles N(b) = 21.

We know,

P(g) = N(g)/N(s) = 2/30 = 1/15.

P(sil) = N(sil)/N(s) = 7/30.

P(b) = N(b)/N(s) = 21/30 = 7/10.

Given if it is gold, you win 4dollars. If it is silver, you win 2 dollars. If it is black, you lose 1 dollars.

The expected value if you play this game is

= 4P(g) + 2P(sil) - 1P(b)

= 4(1/15) + 2(7/30) - 1(7/10).

= 4/15 + 14/30 - 7/10.

= (8+14-21)/30.

= 1/30 dollars.

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Answer:

Step-by-step explanation:

V=lwh

120=l(6)(4)

120=24I

[tex]\frac{120}{24} =\frac{24I}{24} \\I=5[/tex]

Answer:

V=lwh

120=l(6)(4)

120=24I\begin{gathered}\frac{120}{24} =\frac{24I}{24} \\I=5\end{gathered}

The dimensions of the picture will be 60 inches and 2 inches.

We are given that:

The width of the frame is = 2 inches.

The area of the frame is 128 inches².

Let the length of the frame be x.

So, according to the question, we get the length of the picture as:

length = x + 4

Area of picture frame = l × b

128 = (x + 4) × 2

128 = 2 x + 8

2 x = 128 - 8

2 x = 120

x = 120 / 2

x = 60 inches.

Therefore, the dimensions of the picture will be 60 inches and 2 inches.

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Answer:

It has only one answer which is 'The decimal is non-terminating'

She can plant maximum of 6 seedlings in each row. There can be 6 rows of pine seedlings and 5 rows of juniper seedlings.

The Highest Common Factor (HCF) of two numbers is the highest possible number that divides both the numbers completely.

Given: 36 pine seedlings and 30 juniper seedlings and Melissa wants each row to have the same number of seedlings with only one type of seedling in each row.

The greatest number of seedlings that can be planted in each row can be calculated by HCF.

HCF of 36 and 30:

36= 2*2*3*3

30=2*3*5

HCF is 2*3=6

Number of rows of pine seedlings= [tex]\frac{36}{6}[/tex]

=6

Number of rows of juniper seedlings= [tex]\frac{30}{6}[/tex]

=5

Hence, she can plant 6 seedlings in a row. There will be 6 rows of pine seedlings and 5 rows of juniper seedlings.

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Answer: -6, not 60

Step-by-step explanation:

Negative+Positive=Negative  

Positive+Positive=Negative

Negative+Negative=Positive

Answer:350

Step-by-step explanation:

(7 x 10^7)/(2 x 10^5)=350

70000000/200000=350