Please help me find the area of this polygon.

The given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) for all values of m, p, and v is equivalent to \(m^{8}p^{2}v^{12}\). Therefore, option D is the right choice for this question.

Monomials are algebraic expressions with single terms. They can be said to be specialized cases of polynomials.

We are given the algebraic expression - \(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)

To simplify it we will use the rules of the indices as follows -

\(a^{m}.\ a^{n} = a^{m+n}\)

Now,

\(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)

Segregating the like variables, we get,

= \((m^6.\ m^2) .\ (p^{-3}.\ p^{5}) .\ (v^{10}.\ v^{2})\)

by using the rules of indices, we will get,

= \((m^{6+2}) .\ (p^{-3+5}) .\ (v^{10+2})\)

= \((m^{8}) .\ (p^{2}) .\ (v^{12})\)

= \(m^{8}p^{2}v^{12}\)

Hence, the given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) is equivalent to \(m^{8}p^{2}v^{12}\).

Therefore, option D is the right choice for this question.

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The optimal output of ice cream that maximizes profits for Lactaid dairy company is 6 units, based on the given cost and revenue functions.



To maximize profits, we need to determine the optimal level of output for ice cream. First, let's find the revenue function for ice cream. The revenue (R) is equal to the price (P) multiplied by the quantity (Q) of ice cream sold. Since the price of ice cream is $6, the revenue function can be expressed as R = 6Q.Next, we can calculate the cost function for ice cream. The total cost (C) function provided is C(M,I) = 10 + 0.2M^2 + 0.5|2. Since we are only interested in ice cream, we can disregard the term involving M. Therefore, the cost function for ice cream simplifies to C(I) = 10 + 0.5|I^2.

Profit (π) is calculated by subtracting the cost from revenue: π = R - C(I). Substituting the revenue and cost functions, we get π = 6Q - (10 + 0.5|I^2|).

To find the output of ice cream that maximizes profit, we need to find the value of I that maximizes the profit function. By differentiating the profit function with respect to I and setting it to zero, we can find the critical points. Solving for I, we get I = ±√(20/3).

Since the quantity of output cannot be negative, we take the positive value of I, which is approximately 2.8868. However, the options provided are discrete values. Among the given options, the closest value to 2.8868 is 6. Therefore, the output of ice cream that maximizes profits is 6.

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The journal entry to record the issuance of the note is:

Debit: Cash = $51,000 (proceeds received)

Debit: Discount on Note Payable = $787 (computed as $51,000 x 7% x 90/360)

Credit: Notes Payable = $51,787 (face value of the note)

The entry can be summarized as:

Debit: Cash $51,000

Debit: Discount on Note Payable $787

Credit: Notes Payable $51,787

Answer:

x = 111°

Step-by-step explanation:

Angles in a triangle add up to 180

180 - (29+82) = 69

Angles on a straight line add up to 180

180 - 69 = 111

Answer:

111°

Step-by-step explanation:

the sum of the outer angles of a triangle is alway 180

so 180-82-29= 69°

180-69= 111°

Answer:

It actually depends on where the point of letter is

Answer:

To calculate Ralph's federal tax, we need to multiply his gross income by the federal tax rate of 29%:

Federal tax = 0.29 x $127,870 = $37,058.30

Therefore, Ralph will have to pay $37,058.30 in federal taxes if his annual gross income is $127,870.

explanation:

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Ralph will have to pay $37,067.30 in Federal Taxes based on his annual gross income of $127,870.

Chart for Ralph’s annual expenses:

To calculate how much Ralph will have to pay in Federal Taxes, we need to find 29% of his annual gross income. First, we need to convert the percentage to a decimal by dividing it by 100. 29% = 0.29. Then, we multiply the decimal by Ralph's annual gross income: 0.29 x $127,870 = $37,067.30. Therefore, Ralph will have to pay $37,067.30 in Federal Taxes.

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The coordinates of A'', B'' and C'' are (-1, 4), (-4, 3) and (-1, 2) respectively.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Given triangle has coordinates,

A(2, -2), B(5, -3) and C(2, -4).

First the triangle is translated by the rule (x, y) → (x - 1, y + 6)

A(2, -2) becomes A'(2 - 1, -2 + 6) = A'(1, 4).

B(5, -3) becomes B'(5 - 1, -3 + 6) = B'(4, 3)

C(2, -4) becomes C'(2 - 1, -4 + 6) = C'(1, 2)

Then the translated triangle is reflected across the Y axis.

When reflected a point (x, y) across the Y axis, y coordinate remains same and x coordinate flips.

A'(1, 4) becomes A''(-1, 4)

B'(4, 3) becomes B''(-4, 3)

C'(1, 2) becomes C''(-1, 2)

Hence the vertices of the triangle after undergoes translation and reflection becomes A''(-1, 4), B''(-4, 3) and C''(-1, 2).

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Answer:

C

Step-by-step explanation:

Trust me bro.

Hamilton Corporation's effective tax rate is 22.5%.

The effective tax rate is a measure of a company's tax burden as a percentage of its pre-tax income. It indicates the proportion of pre-tax income that is paid in taxes.

In this case, Hamilton Corporation has a pre-tax income of $100,000 and a tax expense of $22,500. Therefore, the company paid $22,500 in taxes out of its pre-tax income of $100,000.

The effective tax rate is the ratio of the total tax expense to the company's pre-tax income.

Effective Tax Rate = Total Tax Expense / Pre-tax Income

In this case, the pre-tax income is $100,000, and the tax expense is $22,500. Therefore,

Effective Tax Rate = $22,500 / $100,000 = 0.225 or 22.5%

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Answer:

(3x+18)(x-3)

Step-by-step explanation:

3x^2 + 9x - 54 = 0

x^2 + 3x - 18 = 0

(x+6)(x-3) = 0

x = -6

x = 3

3(x-(-6)(x-3)

3(x+6)(x-3)

(3x+18)(x-3)

Answer:

Height after 9 weeks: 1.5(9)+5= 18.5

Height after w weeks: 1.5w+5

Step-by-step explanation:

The quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

The time taken by substance to reduce to its half of its initial concentration is called half life period.

We will use the half- life equation N(t)

N e^{(-0.693t) /t½}

Where,

N is the initial sample

t½ is the half life time period of the substance

t2 is the time in years.

N(t) is the reminder quantity after t years .

Given

N = 13g

t = 350 years

t½ = 1599 years

By substituting all the value, we get

N(t) = 13e^(0.693 × 50) / (1599)

= 13e^(- 0.368386)

= 13 × 0.691

= 8.98

Thus, we calculated that the quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

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Answer:

its just C

Step-by-step explanation:

C. (x2 – x = 6)

C. and D. (–2 and 3)

2

Answer:

Based on the given information, it is not possible to definitively determine whether the number generator is fair or not. However, we can make some observations and inferences:

We know that 70% of the socks in the drawer are black, which means that in a random selection of 10 socks, we would expect to see around 7 black socks on average.

The dot plot shows the number of black socks in 10 trials of the number generator. We can see that the number of black socks varies from 0 to 10, with some frequencies being higher than others.

Without knowing the exact frequencies or probabilities, we can see that the dot plot does not appear to be centered around 7 black socks, which is what we would expect from a fair number generator. However, it is difficult to determine whether the deviations from 7 are statistically significant or not, without more information.

Therefore, based on the given information, the most accurate statement is:

The number generator's fairness cannot be determined with certainty from the given data, but there are indications that it may not be perfectly fair.

Step-by-step explanation:

The sequence\(f_n(x) = e^{-nx}\) does not converge uniformly to the limit function\(f(x) = 0\) on the interval \(I = [0, \infty)\).

To examine the uniform convergence of the sequence\(f_n(x) = e^{-nx}\) on the interval\(I = [0, \infty)\), we need to check if the sequence converges uniformly to a limit function on that interval.

For uniform convergence, we need the following condition to hold:

Given any\(\(\epsilon > 0\\)), there exists an \(\(N \in \mathbb{N}\\)) such that for all \(n > N\) and for all \(x \in I\), we have\(\(\left| f_n(x) - f(x) \right| < \epsilon\)\), where \(\(f(x)\)\) is the limit function.

Let's find the limit function\(\(f(x)\\)) of the sequence \(f_n(x) = e^{-nx}\) as \(n\) approaches infinity. Taking the limit as \(\(n\)\)goes to infinity

\(\[f(x) = \lim_{n \to \infty} e^{-nx}\]\)

We can rewrite this limit using the exponential function property:

\(\[f(x) = \exp\left(\lim_{n \to \infty} -nx\right)\]\)

Since the limit inside the exponential is\(\(-\infty\)\) as \(\(n\)\) goes to infinity, we have:

\[f(x) = \exp(-\infty) = 0\]

Therefore, the limit function \(f(x)\) is the constant function\(\(f(x) = 0\\)) on the interval \(I = [0, \infty)\).

To check for uniform convergence, we need to evaluate the difference \(\left| f_n(x) - f(x) \right|\) and see if it is less than any given \(\epsilon > 0\) for all \(n > N\) and for all \(x \in I\).

\(\[\left| e^{-nx} - 0 \right| = e^{-nx}\]\)

To make this expression less than\(\(\epsilon\),\) we need to find an \(N\) such that \(e^{-nx} \(< \epsilon\)\) for all\(n > N\) and for all\(\(x \in I\).\)

However, as \(\(x\)\) approaches infinity, \(e^{-nx}\) approaches 0. But for any finite \\((x\)\) in the interval \([0, \infty)\), \(e^{-nx}\)  will always be positive and never exactly equal to 0. This means we cannot find an\(\(N\)\)that satisfies the condition for uniform convergence.

Therefore, the sequence\(f_n(x) = e^{-nx}\) does not converge uniformly to the limit function \(f(x) = 0\) on the interval \(I = [0, \infty)\).

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Answer:

Step-by-step explanation:

I believe the answer is

C) Laura mixed more vinegar per cup of olive oil, because 3:1 is greater than 4:2

Per 1 cup, Laura has 3 tbsp of vinegar, but Juliette only has 2 tbsp per cup.

It wouldn't be D) because 3 tbsps aren't bigger than 2 cups....

Answer:

Fraction: 2 7/10

deciml: 2.7

Answer:

Fraction: 2\(\frac{7}{10} \)

Decimal: 2.7

Step-by-step explanation:

Answer:Yes It is

Step-by-step explanation:

You plug the (x,y) but in so the equation would be -6=3-9. That is a true equation.

Step-by-step explanation:

Area of a circle = pi x r(squared)

= 3.14 x (15)2

= 3.14 x 225

=706.5cm2

Answer:

Multiply it by 4 and divide it by 100.  It should be1,100. Now multiply it by12. it should be 13200 . Now subtract that to the original price.  14300

Step-by-step explanation:

PLEASE rate follow and thank

Answer: 6281

Step-by-step explanation:

Step 1

Given;

Required; To simplify by combing terms

Step 2

Combine like terms.

Therefore, we will add them together

The full solution will be;

Answer;

Answer:

6^11

Step-by-step explanation:

You need to add but only the exponents

Exmple:

6 ^ 3+2+5+1 =6^11

1)Here you add 1 because the last number don't have exponet this case you need to add 1

2) Because just you see 6 here so you don't touched the 6 nothing just stay the base

Answer:

When is multiply is 362797056

Step-by-step explanation:

6 to the 3 power is 216

6 to the 2 power is 36

6 to the 5 power is 7776

times six

216times 36 = 7776

7776 times 6 times 7776 is 362797056

The required answer is  grant has to walk 7/16 mile to get to school after riding with his dad.

Explanation:-

Grant lives 7/8 mile from school. If he rides with his dad half the way to school, that means he rides 7/16 of a mile. To figure out how far he has to walk, we need to subtract that distance from the total distance he needs to travel, which is 7/8 of a mile. So, 7/8 - 7/16 = 7/16 mile. Therefore, Grant has to walk 7/16 of a mile to get to school.

Grant lives 7/8 mile from school. If he rides with his dad half the way to school, we need to find half of the distance (7/8 mile). Step 1: Find half of the distance. (1/2) * (7/8)

Step 2: Multiply the fractions. (1 * 7) / (2 * 8) = 7/16 Grant has to walk 7/16 mile to get to school after riding with his dad.

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By performing some simple mathematical operations, we know that Sophia earns $366 per hour.

So, to calculate how much Sophia earns in 1 hour:

Now, calculate earnings per hour:

Rounding off: $366

Therefore, by performing some simple mathematical operations, we know that Sophia earns $366 per hour.

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Complete question:

Two friends, Sophia and Ruby, took summer jobs. the equation y=23.9x represents ruby's earnings in dollars and cents, y, for working x hours. Sophia earned 1098.20 in 38 hours.

sophia earns $___ per hour

Answer:

y = 200 + 50x

Step-by-step explanation:

y = cost

x = number of months

The cost is equal to the cost to open the plan plus the monthly fee times the number of months

y = 200 + 50x

Answer:

y = 200 + 50x

Step-by-step explanation:

the cost = the base cost plus the monthly charge ($50 per the number of months you pay it)

hope this helps (/o.o)/<3

Answer:

1.  3³

2.  (-5)⁴

3.  3¹⁰

4.  4⁰

Step-by-step explanation:

When multiplying exponents with the same base, you add the exponents.  When dividing exponents with the same base, you subtract the exponents.  When raising a number with an exponent to another power, multiply the exponents.

1.  \(\frac{3^4*3^6}{3^2*3^5} =\frac{3^{10}}{3^7}=3^3\)

2.  \(\frac{(-5)^{12}}{(-5)^3*(-5)^5} =\frac{(-5)^{12}}{(-5)^8}=(-5)^4\)

3.  \((3^2)^5=3^{10}\)

4.  \(\frac{4^0*4^4}{4^1 * 4^3} =\frac{4^4}{4^4}=4^0\)

distribute.

\((10+13)(2+7y)\\\\20+70y+26+91y\\\\46+161y\)

the answer is 46 + 161y.

Answer:

D. 46 + 161y

Step-by-step explanation:

Smiley face method/FOIL

(10 + 13)(2 + 7y)

= (10*2) + (10*7y) + (13*2) + (13*7y)

= 20 + 70y + 26 + 91y

Add like terms:

46 + 161y

The dimensions of the street sign are 10 inches by 4 inches.

What is the perimeter?

The perimeter is a mathematical term that refers to the total distance around the outside of a two-dimensional shape. It is the length of the boundary or the sum of the lengths of all the sides of a closed figure.

Let's assume that the length of the rectangular street sign is L, and the width is W.

We know that the perimeter of the sign is 28 inches, which can be expressed as:

2L + 2W = 28

Simplifying this equation, we get:

L + W = 14 (dividing both sides by 2)

We also know that the area of the sign is 40 square inches, which can be expressed as:

L * W = 40

Now we have two equations with two unknowns (L and W). We can use substitution or elimination to solve for the dimensions.

Using substitution, we can rearrange the first equation to solve for one variable in terms of the other:

L = 14 - W

Then we can substitute this expression for L in the second equation:

(14 - W) * W = 40

Expanding and rearranging terms, we get:

W² - 14W + 40 = 0

This is a quadratic equation that we can solve using the quadratic formula:

W = (-(-14) ± √((-14)² - 4(1)(40))) / 2(1)

W = (14 ± √(36)) / 2

W = 7 ± 3

We can reject the negative value of W since it doesn't make sense for a length or width. Therefore, we have:

W = 10 or W = 4

If W = 10, then L = 14 - W = 4, which gives us a perimeter of 28 inches, but an area of only 40 square inches, so this solution doesn't work.

If W = 4, then L = 14 - W = 10, which gives us a perimeter of 28 inches and an area of 40 square inches, so this is the correct solution.

Therefore, the dimensions of the street sign are 10 inches by 4 inches.

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