Marcel bought a new pair of inline skates. Each wheel on the skates is 41 millimeters in radius. Which shows the number of millimeters traveled in 5 full rotations of a wheel?

Answer:

x = 5 ; z = 70

Step-by-step explanation:

Vertical angles have the same degree measure

(13x + 45) = 110

13x + 45 = 110

      -45     -45

13x = 65

/13     /13

x = 5

Complementary angles add up to 180°

110 + z = 180

-110         -110

z = 70

Answer:

X = 5º

Z = 70º

Step-by-step explanation:

So we know that vertical angles are congruent. So what we do to figure out x is set the equation equal to 110º because we are given that. And then we solve for x.

(13x + 45) = 110

13x + 45 = 110

      -45      -45

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

13x = 65

÷13     ÷13

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

x = 5

Now, we plug x into the equation. (13x5 + 45) = 110 so we know that x = 5

Now, we also know that a straight line equals 180º so what we do is subtract 110 from 180.

180 - 110= 70º

z = 70º

Answer:

sorry if this is really confusing, i can elaborate on anything if you want

Step-by-step explanation:

number 1 the angle in the triangle not described+angle1=180 since it's a line

180-125=55=angle 1

angle 2 should be 55 by vertical angles?

and angle 3 is 180-55-30 (same thing the other angle in the triangle is 180-150

angle 3=95

There are approximately 118.3205236 grads in 1.85 radians.

One complete circle is equal to 360° or 2π radians.

Since there are 100 grads in one-quarter of a circle, there are 400 grads in one complete circle.

The following formula is used to convert radians to grads:x grad = x × 200 / π grad

So, to convert 1.85 radians to grads, we substitute x = 1.85 in the formula as follows:

x grad = 1.85 × 200 / π grad≈ 118.3205236 grad

Therefore, there are approximately 118.3205236 grads in 1.85 radians.

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Answer:

(32, 16)

Step-by-step explanation:

Since the scale factor is 4, you always multiply both coordinate places (x and y) by this number.

The coordinates of one of the new vertices is (32, 16). Therefore, option D is the correct answer.

Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.

Given that, rectangle with vertices A(-6, 4), B(8, 4), C(8, -2) and D(-6, -2).

Here, the scale factor is 4

So,

(-6,4)  by a scale factor of 4(-6, 4)=(-24, 16)

(8, 4)  by a scale factor of 4(8, 4)= (32, 16)

(-6, -2) by a scale factor of 4(-6, -2)= (-24, -8)

(8, -2) by a scale factor of 4(8, -2)= (32, -8)

Therefore, option D is the correct answer.

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The supply curve shifts as a result of every factor but a change in market price. The movement along the supply curve and the change in price are correlated.

The supply curve can change depending on a number of variables, such as shifts in production costs (such as raw material and labor prices), advancements in technology, the level of competition and the number of sellers/producers, as well as the regulatory and tax environment.

Although a shift in the quantity supplied or along the supply curve for a given commodity or service is frequently brought about by a change in price, the supply curve itself does not alter as a result.

Input prices, weather conditions, technological advancements, as well as governmental taxes, regulations, and subsidies, can all modify the supply curve for goods and services, resulting in a different quantity being delivered for a given price.

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In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle

The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems

The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system

Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

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Answer:

брате, заткнись, блядь, знай, хтось дбає про твої дивні тли

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Use the Pythagorean Theorem. That will give you the missing side length and then add them together to get 40.

The area in square meters will the oil slick cover is 9.5×10⁶ m².

15 barrels of diesel spilt into the ocean, where each barrel contains 42 gallons. Thereby the total volume of the oil spilt by 15 barrels is calculated as follows:

The total volume of the oil spilt by 15 barrels = 15× 42 gallons.

=630 gallons

1 gallon = 3.78541 liters

Volume in L = 630 gallons × 3.78541 liters/ 1 gallon

= 2384.8083 L

1 L = 10⁻³ m³

2384.8083  L = 2384.8083 × 10⁻³ m³

= 2.3848083 m³

The area covered by the oil spill has to be determined, where the thickness of the oil spill is given to be 2.5×10² nm.

1 nm = 10⁻⁹ m

Thereby, 2.5×10² nm = 2.5×10²×10⁻⁹ m

= 2.5×10⁻⁷ m

Area (m²) = volume (m³)/thickness (m)

= 2.3848083 m³/ 2.5×10⁻⁷ m

= 0.95392×10⁷ m²

= 9.5×10⁶ m²

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(a) The ratio of the areas, A2/A1, is: A2/A1 =\((16πr1^2)/(4πr1^2) = 4\)

(b)  The ratio of the areas A2/A1 is 4, and the ratio of the volumes V2/V1 is 8.

(a) To find the ratio of the areas, A2/A1, we need to substitute the radii of sphere 2 and sphere 1 into the formula for surface area.

Let's denote the radius of sphere 1 as r1 and the radius of sphere 2 as r2, where r2 = 2r1.

For sphere 1:

A1 =\(4πr1^2\)

For sphere 2:

A2 = \(4πr2^2 = 4π(2r1)^2 = 4π(4r1^2) = 16πr1^2\)

Therefore, the ratio of the areas, A2/A1, is:

A2/A1 =\((16πr1^2)/(4πr1^2) = 4\)

(b) Similarly, to find the ratio of the volumes, V2/V1, we substitute the radii into the formula for volume.

For sphere 1:

V1 = \((4/3)πr1^3\)

For sphere 2:

V2 = \((4/3)πr2^3 = (4/3)π(2r1)^3 = (4/3)π(8r1^3) = (32/3)πr1^3\)

Therefore, the ratio of the volumes, V2/V1, is:

V2/V1 = \(((32/3)πr1^3)/((4/3)πr1^3) = 8\)

So, the ratio of the areas A2/A1 is 4, and the ratio of the volumes V2/V1 is 8.

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Answer:

a) 4.18330013267

b) 7.65643191324

Step-by-step explanation:

Use the calculator to find out the values.

√17.5

=4.18330013267

2.3²+√5.6

5.29+2.36643191324

=7.65643191324

Answer:

a 4.1833

b 7.656

hope its helpful

The solutions to the recurrence relation an = 8an−1 − 16an−2 are:

a) {an = 0}

b) {an = 1}

c) {an = 2ⁿ}

d) {an = 4ⁿ}

g) {an = (-4)ⁿ}

A recurrence relation in mathematics is an equation that states that the last term in a series of integers equals some combination of the terms that came before it.

To determine if a sequence {an} is a solution of the recurrence relation an = 8an−1 − 16an−2, we need to substitute the sequence into the recurrence relation and see if it holds for all n.

a) If an = 0, then:

an = 8an−1 − 16an−2

0 = 8(0) − 16(0)

0 = 0

This holds, so {an = 0} is a solution.

b) If an = 1, then:

an = 8an−1 − 16an−2

1 = 8(1) − 16(0)

1 = 8

This does not hold, so {an = 1} is not a solution.

c) If an = 2n, then:

an = 8an−1 − 16an−2

2n = 8(2n−1) − 16(2n−2)

2n = 8(2n−1) − 16(2n−1)

2n = −8(2n−1)

2n = −2 × 2(2n−1)

This does not hold for all n, so {an = 2n} is not a solution.

d) If an = 4n, then:

an = 8an−1 − 16an−2

4n = 8(4n−1) − 16(4n−2)

4n = 8(4n−1) − 4 × 16(4n−1)

4n = −60 × 16(4n−1)

This does not hold for all n, so {an = 4n} is not a solution.

e) If an = n4n, then:

an = 8an−1 − 16an−2

n4n = 8(n−1)4(n−1) − 16(n−2)4(n−2)

n4n = 8(n−1)4(n−1) − 4 × 16(n−1)4(n−1)

n4n = −60 × 16(n−1)4(n−1)

This does not hold for all n, so {an = n4n} is not a solution.

f) If an = 2 ⋅ 4n/(3n4n), then:

an = 8an−1 − 16an−2

2 ⋅ 4n/(3n4n) = 8 ⋅ 2 ⋅ 4n−1/(3(n−1)4n−2) − 16 ⋅ 2 ⋅ 4n−2/(3(n−2)4n−4)

2 ⋅ 4n/(3n4n) = 16 ⋅ 4n−1/(3(n−1)4n−2) − 16 ⋅ 4n−2/(3(n−2)4n−4)

2 ⋅ 4n/(3n4n) = (16/3) ⋅ (n−1) ⋅ 4n−1/n4n−2 − (16/3) ⋅ (n−2) ⋅ 4n−2/(n−2)4n−4

2 ⋅ 4n/(3n4n) = (16/3) ⋅ (n−1) ⋅ 4n−1/n4n−2 − (16/3) ⋅ (n−2) ⋅ 4n−2/n4n−2

2 ⋅ 4n/(3n4n) = (16/3) ⋅ (n−1) ⋅ 4n−1/n4n−2 − (16/3) ⋅ (n−2) ⋅ 4n−2/n4n−2

2 ⋅ 4n/(3n4n) = (16/3) ⋅ (n−1) ⋅ 4n−1/n4n−2 − (16/3) ⋅ (n−2) ⋅ 4n−2/n4n−2

2 ⋅ 4n/(3n4n) = (16/3) ⋅ (n−1) ⋅ 4n−1/n4n−2 − (16/3) ⋅ (n−2) ⋅ 4n−2/n4n−2

2 ⋅ 4n/(3n4n) = (16/3) ⋅ (n−1)/n − (16/3) ⋅ (n−2)/n

2 ⋅ 4n/(3n4n) = (16/3) ⋅ (1 − 1/n) − (16/3) ⋅ (1 − 2/n)

2 ⋅ 4n/(3n4n) = (16/3n) ⋅ (2 − n)

This does not hold for all n, so {an = 2 ⋅ 4n/(3n4n)} is not a solution.

g) If an = (−4)n, then:

an = 8an−1 − 16an−2

(−4)n = 8(−4)n−1 − 16(−4)n−2

(−4)n = −8 ⋅ 4n−1 + 16 ⋅ 16n−2

(−4)n = −8 ⋅ (−4)n + 16 ⋅ (−4)n

This does not hold for all n, so {an = (−4)n} is not a solution.

h) If an = n2^(4n), then:

an = 8an−1 − 16an−2

n2^(4n) = 8(n-1)2^(4(n-1)) - 16(n-2)2^(4(n-2))

n2^(4n) = 8n2^(4n-4) - 16(n-2)2^(4n-8)

n2^(4n) = 8n2^(4n-4) - 16n2^(4n-8) + 512(n-2)

n2^(4n) - 8n2^(4n-4) + 16n2^(4n-8) - 512(n-2) = 0

n2^(4n-8)(2^16n - 8(2^12)n + 16(2^8)) - 512(n-2) = 0

This does not hold for all n, so {an = n2^(4n)} is not a solution.

Therefore, the solutions to the recurrence relation an = 8an−1 − 16an−2 are:

a) {an = 0}

b) {an = 1}

c) {an = 2ⁿ}

d) {an = 4ⁿ}

g) {an = (-4)ⁿ}

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Answer:

-11

Step-by-step explanation:

let (2,1)be x1 and y1 respectively

(3,-10) be x2 and y2 respectively

From,slope= (y2-y1)/(x2-x1)

=(-10-1)/(3-2)

= -11/1

= -11

Answer:

Step-by-step explanation:

To make it easier to understand, consider the exponent of a number with no decimals, with 1 decimal and with 2 decimals:

Since our given number is (0.23)⁹, with 2 decimal places, its exponent will have 2*9 = 18 decimals.

A code which creates the list of integers, data of "size-5" which contains the values 27, 51, 33, -1, and 101 is written below.

In computer programming, the term "code" is defined as the instructions or statements written in a particular programming language that are used to create computer software or perform specific tasks.

The "Code" can be written in a many different "programming-languages", such as Python, Java, C++.

The code which creates a "list-of-integers" named data of "size-5"  which contains the values {27, 51, 33, -1, and 101} is ;

int data_of_size_5[ ] = new int [5];

data_of_size_5[0] = 27;

data_of_size_5[1] = 51;

data_of_size_5[2] = 33;

data_of_size_5[3] = -1;

data_of_size_5[4] = 101.

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The value of x =26°, m∠p =116°, m∠q=21°, m∠r=43°

What is an angle?

An angle is formed when two lines meets at the same vertex. It is measured by degree. Based on the measurements angles are of three types.

Consider POR as a triangle.

Given that m∠p=5x-14, m∠q=x-5, m∠r=2x-9.

In triangle the sum of the angle is 180°, then

m∠p + m∠q +m∠r =180°

⇒5x-14+x-5+2x-9 = 180°

⇒8x-28=180°

⇒x=26°

then, m∠p=5x-14 = 5(26)-14 = 116°

m∠q=x-5 = 26-5=21°

m∠r=2x-9 = 2(26)-9=43°

Hence, the value of x =26°, m∠p =116°, m∠q=21°, m∠r=43°

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Answer:

$198

Step-by-step explanation:

Given data

WholeSale price= $165

Markup = 20%

Let us find the amount of the markup

=20/100*$165

=0.2*165

=$33

Hence the cost of the chair will be

=33+165

=$198

The turntable turns through a 45.0 degree angle, the radial line also rotates by 45.0 degrees. Therefore, the direction of the ladybug's displacement vector is 45.0 degrees counterclockwise from the positive x-axis.

Part A:
The radius of the turntable is half of the diameter, which is 6.0 in. The ladybug crawls in a straight radial line to the edge, which means its displacement vector is equal to the radius of the turntable. Therefore, the magnitude of the ladybug's displacement vector is 6.0 in.

Part B:
The direction of the ladybug's displacement vector is the same as the direction of the radial line from the center of the turntable to the edge. This direction can be described by the angle between the positive x-axis and the radial line.

Since the turntable turns through a 45.0 degree angle, the radial line also rotates by 45.0 degrees. Therefore, the direction of the ladybug's displacement vector is 45.0 degrees counterclockwise from the positive x-axis.

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She walks 540 yards for 3 full laps around the park per day.

From the information given;

The longest part of the triangular park = 75 yards

The shortest part = 45 yards

Let's find the other part, using Pythagorean theorem;

a² = b² + c²

75² = 45² + c²

c² = 75² - 45²

Find the squares

c² = 5625 - 2025

c² = 3600

Make 'c' the subject

c = √3600

c = 60 yards

If she walks

75 + 60 + 45 yards per lap

180 yards per lap

For three laps, she walks

= 3 × 180

= 540 yards

Thus, she walks 540 yards for 3 full laps around the park per day.

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Answer:

234

Step-by-step explanation:

182/7= 26 9x26=234

why is there a minimum number of characters needed

The expression is simplified below. Then the correct options are A, C, and D.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

\(\rm \rightarrow \dfrac{\sqrt[3]{8^{\frac{1}{3} }\cdot 3 } }{3 \cdot 2^{\frac{1}{9}}}\)

Simplify the expression, then the expression will be

\(\rm \rightarrow \dfrac{\sqrt[3]{8^{\frac{1}{3} }\cdot 3 } }{3 \cdot 2^{\frac{1}{9}}}\\\\\\\rm \rightarrow \dfrac{\sqrt[3]{\left ( 2^3 \right )^{\frac{1}{3} }\cdot 3 } }{3 \cdot 2^{\frac{1}{9}}}\\\\\\\rm \rightarrow \dfrac{\sqrt[3]{2 \cdot 3 } }{3 \cdot 2^{\frac{1}{9}}}\\\)

Further, simplify the expression, then we have

\(\rm \rightarrow \dfrac{2^{\frac{2}{9}}}{3^{\frac{2}{3}}}\\\\\\\rightarrow 2^{\frac{2}{9}} \cdot {3^{-\frac{2}{3}}}\\\\\\\rightarrow \sqrt[9]{2^2} \cdot \sqrt[3]{3^{-2}} \\\\\rightarrow \sqrt[9]{4} \cdot \sqrt[3]{\dfrac{1}{9}} \\\)

Then the correct options are A, C, and D.

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The standard matrix of a linear transformation T can be found by using the formula A = [T(e1) T(e2) ... T(en)], where A is the standard matrix, e1, e2, ..., en are the columns of the identity matrix, and T(e1), T(e2), ..., T(en) are the images of the identity matrix columns under the transformation T.

1. For the first transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [(3,1,3,1) (-5,2,0,0)] = [[3 -5] [1 2] [3 0] [1 0]]. Therefore, the standard matrix of T is [[3 -5] [1 2] [3 0] [1 0]].

2. For the second transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2) T(e3)] = [(1,3) (4,-7) (-5,4)] = [[1 4 -5] [3 -7 4]]. Therefore, the standard matrix of T is [[1 4 -5] [3 -7 4]].

3. For the third transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [cos(31/2) -sin(31/2) sin(31/2) cos(31/2)], where cos(31/2) and sin(31/2) are the cosine and sine of 31/2 radians, respectively. Therefore, the standard matrix of T is [cos(31/2) -sin(31/2) sin(31/2) cos(31/2)].

4. For the fourth transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [cos(-1/4) -sin(-1/4) sin(-1/4) cos(-1/4)], where cos(-1/4) and sin(-1/4) are the cosine and sine of -1/4 radians, respectively. Therefore, the standard matrix of T is [cos(-1/4) -sin(-1/4) sin(-1/4) cos(-1/4)].

5. For the fifth transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [(1,0) (2,1)] = [[1 2] [0 1]]. Therefore, the standard matrix of T is [[1 2] [0 1]].

6. For the sixth transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [(1,0) (3,1)] = [[1 3] [0 1]]. Therefore, the standard matrix of T is [[1 3] [0 1]].

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Answer:

In my opinion is B

The calculation of (6 X 5) X 1 can be simplified as 30

The calculation of (6 X 5) X 1 can be simplified as follows:

(6 X 5) X 1 = 30 X 1 = 30

When you multiply 6 and 5, you get 30. And when you multiply 30 by 1, you get the same number, 30. So, (6 X 5) X 1 equals 30.

However, none of the options given in the question match the result of the calculation.

Option A suggests that (7 X 5) X 1 equals 35, but that's not correct.

Option B suggests that (6 X 6) X 1 equals 36, which is also not correct.

Option C suggests that (7 X 5) X 1 equals 35, which, as we know, is incorrect.

Therefore, the correct answer to the given calculation is 30, but it's not listed among the choices.

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A sporadic issue occurs randomly and infrequently, while a chronic issue persists or repeats consistently over time.

Sporadic Issue: A sporadic issue refers to a problem or occurrence that happens irregularly or infrequently, without a predictable pattern. It occurs randomly and unpredictably, making it challenging to identify the underlying cause or find a permanent solution. For example, a sporadic issue could be an intermittent network connectivity problem that occurs only a few times a month, making it difficult to troubleshoot and resolve.

Chronic Issue: A chronic issue refers to a persistent problem or condition that persists over an extended period or occurs repeatedly. It occurs consistently or with a regular pattern, making it easier to identify and diagnose. Chronic issues often require ongoing management or long-term solutions. For example, a chronic issue could be a recurring software bug that affects the system's functionality and requires continuous updates and fixes to address the underlying problem.

Both sporadic and chronic issues can have significant impacts on systems, processes, or individuals, albeit in different ways. Sporadic issues are more challenging to troubleshoot and address due to their unpredictable nature, while chronic issues demand sustained attention and long-term strategies to mitigate their effects.

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Answer:

16

Step-by-step explanation:

The greatest common factor is the greatest integer which divides evenly into both numbers.  One way to find this is to list all of the divisors of one of the numbers, and then select the biggest of those that divides evenly into the other number, and that number is the greatest common factor.

We start with 64.

Its divisors are 1, 2, 4, 8, 16, 32, 64.  The biggest of those numbers which divides evenly into 80 is 16.  

Thus, the greatest common factor is 16.

A rhombus is a quadrilateral that has four sides of equal length. A rhombus also has two diagonals, which are perpendicular bisectors of each other. This formula is given as follows: Perimeter = 4 × a, where a is the length of each side of the rhombus.

To find the perimeter of a rhombus using diagonals, follow these steps:

Step 1: Obtain the length of each diagonal of the rhombus.

Step 2: Use the length of the diagonals to find the length of each side.

Step 3: Add the length of each side to find the perimeter of the rhombus.

The perimeter is the sum of all the sides of a figure. To get the perimeter of a rhombus using diagonals, the length of each diagonal has to be found first. The formula for finding the length of each side of a rhombus is:  where the diagonal is the measure of the diagonal of the rhombus.

To find the perimeter of a rhombus, add the length of all the sides of the rhombus. This formula is given as follows: Perimeter = 4 × a, where a is the length of each side of the rhombus.

Therefore, the perimeter of a rhombus using diagonals can be found by following the above procedure and then using the formula to add all the sides of the rhombus.

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a) The proportion of heads that  is represented in this sample is \(\bar{p}\)=0.583.

It is a parameter that describes a percentage number connected with a population. For example, the 2010 United States Census revealed that 83.7% of the American population was identified as not being Hispanic or Latino; the figure of.837 is a population proportion. In general, the population proportion and other population metrics are unknown. A census can be undertaken to establish the true value of a demographic metric, although it is generally impractical due to the expenses and time required.

A population proportion is typically computed using an unbiased sample statistic derived from an observational study or experiment.

Given that,

A coin is flipped 120 times, the number of heads we get are 70

a) The sample proportion is,

\(\bar{p}\)=No. of heads/No. of times the coin is flipped

\(\bar{p}\)=70/120

\(\bar{p}\)=0.583

The proportion of heads that  is represented in this sample is \(\bar{p}\)=0.583

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Many children develop the ability to do simple arithmetic problems during their early childhood years, typically between the ages of 4 and 6. Correct option is a).

During this time, children start to understand basic mathematical concepts such as counting, addition, and subtraction. They may also begin to recognize and name numbers and use basic math vocabulary. However, it's important to note that every child develops at their own pace and some may show these skills earlier or later than others. It's also important for parents and caregivers to provide opportunities for children to practice and reinforce these skills through activities such as counting objects, playing number games, and solving simple math problems.

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Answer:

C

Step-by-step explanation:

I took the test and got it correct.