Zippy company manufactured 10,000 units in december with a total product cost of $22,900 they had zero finished goods inventory at the start of december. in december zippy sold 7,796 units at a unit price of $5.54. period expenses were $4,723. what is the amount of zippy's gross profit (otherwise know as gross margin).? round any intermediate calculations to four decimal places

From the power rules, the matching of  each expression with its equivalent expression is:

[tex]5^{-3}=\frac{1}{125}[/tex]

[tex]-5^{-3}=-\frac{1}{125}[/tex]

[tex](-5^{-3})^{-1}=-125[/tex]

[tex](-5^{-3})^{0}=1[/tex]

There are different power rules, see some them:

1. Negative exponent. For this rule when you have a negative exponent, you need to invert the number, i.e, the power base is converted to the denominator. After that, you should solve the power with a positive exponent.  See the  examples:

[tex]4^{-3}=\frac{1}{4^3} =\frac{1}{64} \\ \\ {\frac{4}{6} }^{-2}=( {\frac{6}{4} })^{2}=\frac{36}{16}[/tex]

2. Power. For this rule, you should repeat the base and multiply the exponents. See the  example, [tex](2^{2})^3=2^6=64[/tex].

3. Zero Exponent. When you have an exponent equals to zero, the result must be 1.  See the  example, [tex]2^0=1[/tex].

From this for your question, you have:

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Answer: Hope this helps you I guess.

2

Answer:

2 is the length of BC

Step-by-step explanation:

If we will look at this line, we can determine that unit interval is 1, so we subtract B from C, which is 2, and that's the answer

Step-by-step explanation:

please mark me as brainlest

Answer:

slope = 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x + 5 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2

The probability that the coin lands on tails and the dice lands on an even number is 0.3455

Let A represents a biased coin lands on heads and B represents a biased dice lands on an even number

So, we have:

P(A) = 0.47

P(B) = 13/20

The required probability is:

P(A' and B) = P(A) * P(B)

This gives

P('A and B) = (1 - 0.47) * 13/20

Evaluate

P('A and B) = 0.3455

Hence, the probability that the coin lands on tails and the dice lands on an even number is 0.3455

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answer: t=2

steps:

16-2t = 3/2t+9

7 = 3/2t + 2t

2 is 4/2

7 = 3/2t + 4/2t

7 = 7/2t

7/2t = 7

(2/7)7/2t=7(2/7)

t=7(2/7)

t=2

Answer:

the answer would be 23/13 - 15/13i

Step-by-step explanation:

The result of the complex expression (10 – 4i) ÷ (5 + i) is [tex]\frac{23}{13} - i\frac{15}{13}[/tex] .

Given, complex expression  (10 – 4i) ÷ (5 + i)

Complex roots: When the roots are complex in nature then they appear in complex conjugate pair.

Complex roots: a ± ib

Complex number pair : a ± ib

i = iota(imaginary number)

a = real part

b = imaginary part

Value of iota :

[tex]i = \sqrt{-1}\\ i^2 = -1[/tex]

Complex expression :  (10 – 4i) ÷ (5 + i)

Apply rationalization,

Use formula [tex](a^2 - b^2) = (a+b)(a-b)[/tex].

[tex]\frac{ (10 - 4i) }{(5 + i)} \times \frac{5-i}{5-i} \\\\= \frac{(10 - 4i) \times (5-i) }{(5+i)(5-i)} \\\\=\frac{50 -30i -4}{5^2 - i^2}\\ \\= \frac{46 - 30i}{25 +1 } \\\\= \frac{46 - 30i}{26} \\\\[/tex]

[tex]= \frac{23}{13} - i\frac{15}{13}[/tex]

The real part is positive and imaginary part is negative.

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Answer:

[tex]\frac{k+5}{k-2}[/tex]

Step-by-step explanation:

[tex]\frac{1-\frac{25}{k^2} }{1-\frac{7}{k}+\frac{10}{k^2} }[/tex]

multiply numerator and denominator by k² to eliminate fractions

= [tex]\frac{k^2-25}{k^2-7k+10}[/tex] ← factor numerator and denominator

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

k² - 25 ← is a difference of squares

= (k - 5)(k + 5)

k² - 7k + 10

= (k - 5)(k - 2)

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

= [tex]\frac{(k-5)(k+5)}{(k-5)(k-2)}[/tex] ← cancel (x - 5) on numerator / denominator

= [tex]\frac{k+5}{k-2}[/tex]

answer:

set 4

Step-by-step explanation:

because when you divide the numbers 12,16 and 20 by 2 you'll get 6,8 and 10 which is a Pythagoras family....and it will form a right angle triangle

The value of x when y = 2 is -19/7

A direct variation from x to y is represented as:

x = ky

Where k represents the variation constant.

x = -19 when y = 14.

So, we have:

-19 = 14k

Make k the subject

k = -19/14

Substitute k = -19/14 in x = ky

x = -19y/14

When y = 2, we have:

x = -19 * 2/14

Evaluate

x = -19/7

Hence, the value of x when y = 2 is -19/7

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Answer:

3 and -3

Step-by-step explanation:

A ratio shows us the number of times a number contains another number. The correct option is C.

A ratio shows us the number of times a number contains another number.

For winning less than $10, a person needs to take out a green ticket or a yellow ticket. Therefore, the odds against winning less than $10 are,

(Number of blue tickets) : (Number of green and yellow tickets)

5: 30

1: 6

Hence, the correct option is C.

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Answer:

Additive

-2 = 2

18 = -18

-30 = 30

2/5 = -2/5

Multiplicative

8/9 = 9/8

12/15 = 15/12

-6 = -1/6

10 = 1/10

Step-by-step explanation:

an additive inverse is a number you must add to another number to get 0

(think of it as the negative version of the number)

{but WHY? In math, you can imagine comparing numbers on a number line. If we are finding the opposite of a number, we want to find the same distance from 0, but on the opposite side of 0. So, 2 would be two to the right of 0, -2 would be two to the left of 0}

-2 + 2 = 0

18 - 18 = 0

-30 + 30 = 0

2/5 - 2/5 = 0

a multiplicative inverse is a number that you multiply by another number to get 1.

We are finding the "reciprocal" of a number; you are essentially flipping it as a fraction

(reciprocal of 2 = 1/2  {remember, 2 is the same thing as 2/1 }   ; reciprocal of 1 / 8 = 8)

note: reciprocal is being used interchangeably with multiplicative inverse here

8/9 · 9/8 = 1

12/15 · 15/12 = 1

-6 · -1/6 = 1                     {-6  = -6/1}

10 · 1/10 = 1                    {10 = 10/1}

hope this helps!! have a lovely day :)

Answer:

Additive: number that you add to get 0

2

-18

30

-2/5

Multiplicative: number that you multiply to get 1

9/8

15/12

-1/6

1/10

hope this is helpful!!  ^u^

Answer:

g(x) = (x - 5)²

Step-by-step explanation:

This is an example of the transformation of functions.

In this example, we see the graph f(x) has been moved 5 in the positive direction on the x-axis.

Due to the fact that we are working with the x-axis, our transformation will be placed inside the bracket, and it will do the opposite of what we expect.

This means that our transformation will be set out in this format:

[tex]g(x) = f(x-5)[/tex]

We know that:

[tex]f(x) = x^2[/tex]

Therefore,

[tex]g(x) = f(x-5) = (x-5)^2[/tex]

So, [tex]g(x) = (x-5)^2[/tex].

Answer:

0.346

Step-by-step explanation:

brainiest pls ty

Answer:

.,..

Step-by-step explanation:

0.346 ............ I'm..............

Answer:

318

Step-by-step explanation:

(1.898×10^27)÷(5.972×10^24)=317.82=318

Answer:

1. the possible outcomes are any of the seven days of the week

2. 1/7 chance of choosing Wednesday

3. 2/7 chance of choosing Saturday or Sunday

[tex]\mathbb{PROBLEM:}[/tex]

[tex] \\ [/tex]

A day is chosen from a week.

1. What are the possible outcomes?

2. What is the chance of choosing Wednesday?

3. Find the probability of selecting weekends.

[tex] \\ [/tex]

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

[tex]\mathbb{SOLUTION:}[/tex]

[tex] \\ [/tex]

1. What are the possible outcomes?

2. What is the chance of choosing Wednesday?

[tex]\tt\underline\red{ \: \: \frac{1}{7} \: \: }[/tex]

3. Find the probability of selecting weekends.

[tex]\tt\underline\red{ \: \: \frac{2}{7} \: \: } [/tex]

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

♥️

Answer:

A.3p+12=24

Step-by-step explanation:

carl Made 12 three-pint baskets.

Subtraction property of equality

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

Explanation:

Let's say we started with the equation a = b

Subtract c from both sides to get a-c = b-c

This is the subtraction property of equality

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

Example:

x+5 = 12

x+5-5 = 12-5 ... using the subtraction property of equality

x+0 = 7

x = 7

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

For this current problem, we're subtracting 3 from both sides in the second step.

A very closely related property is the addition property of equality where we add the same thing to both sides.

Technically we could add -3 to both sides to get the same task done in the second step. But the subtraction property is more direct and straight-forward in my opinion.

Answer:

I think the answer is B

Step-by-step explanation:

The mathematical reasoning for the first step is; Distributive Property

We want to multiply the linear expressions; -2n and ³/₄n.

The first step will be to express them with the multiplication sign to get and factorize;

-2n × ³/₄n

Now, since n is common to both terms, we will factorize it out to get;

n(-2 × ³/₄)

Now, that operation above is termed as a distributive property because we know that the algebra distributive property is;

a(b + c) = ab + ac

Or a(b × c) = ab × ac

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Answer:

communitave property i think

Step-by-step explanation:

Answer:

(5, 20)

Step-by-step explanation:

The total number of red cars is 34, the total number of blue cars is 36, and the total number of silver cars is 70.

The ratio problems can be solved as follows:

11. The total number of red cars can be calculated as follows:

Number of red car in the first car park = (1 / (1 + 2 + 3)) * 60 = 10

Number of red car in the second car park = (3 / (2 + 3 + 5)) * 80 = 24

Total number of red cars = 10 + 24 = 34

12. The total number of blue cars can be calculated as follows:

Number of blue car in the first car park = (2 / (1 + 2 + 3)) * 60 = 20

Number of blue car in the second car park = (2 / (2 + 3 + 5)) * 80 = 16

Total number of blue cars = 20 + 16 = 36

13.  The total number of silver cars can be calculated as follows:

Number of silver car in the first car park = (3 / (1 + 2 + 3)) * 60 = 30

Number of silver car in the second car park = (5 / (2 + 3 + 5)) * 80 = 40

Total number of silver cars = 30 + 40 = 70

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Based on the key features, the end behavior and the zeros of function h [h(x) = -x³ - 9x² +4x +96], the statement that is true of the above graph is: "The graph is positive on the intervals (-8, -4) and (3, infinity) (Option B)"

A function's "end behavior" refers to how the function's graph behaves at its "ends" on the x-axis.

In other words, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞ ), the end behavior of a function represents the trend of the graph.

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Answer:

2

I believe that the answer my friend

Answer:

a.) f(2) = 3

b.) if f(x) = 2

x=3

Step-by-step explanation:

Here you must notice that on the graph where x is 2, y or f(x) is at 3. This means that the answer where in the function of x, where the input 2, the output or y/f(x) is 3

And if the output is 2, the input is 3 as proven above.

Answer:

below

Step-by-step explanation:

the second option is the only expression that came up with the value of 64

(2^6)

Answer:2,⁶     (–8)²    and  (–2)⁶   hope I helped.        : )

Step-by-step explanation:                                                                                                                                              

hi :)

Answer:

y=ax+b

a=-0.6020457867

b=-2.256697516   <------- There is your value for b, which is the answer to the problem.

You can use these values for a and b to generate an equation in slope-intercept form, which you can then enter under Y= and view the graph.

Step-by-step explanation:

The value of y is multiplied by 2 each time when the value of x increases by 1 and this can be determined by using the arithmetic operations.

Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.

Given that,

Table --    x            y

                1            20

                2            40

                3            80

                4            160

                5            320

The following steps can be used in order to describe how the y values are changed over each interval:

Step 1 - When value of (x = 1) and the value of (y = 20).

Step 2 - When value of (x = 2) and the value of (y = 40).

Step 3 - When value of (x = 3) and the value of (y = 80).

Step 4 - When value of (x = 4) and the value of (y = 160).

Step 5 - From the above steps, it can be concluded that the value of y is multiplied by 2 each time when the value of x increases by 1.

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