Complete a trend analysis for sales (round to nearest whole percent and use 2010 as the base year). 2013 2012 2011 2010 Sales $ 620,000 $ 580,000 $ 450,000 $ 600,000 (D) (C) (B) (A)

Answer:

Step-by-step explanation:

this is very complicated and i suggest you to go to einstin

Based on the figures that we are provided, we can see that Kadisha has walked 10 miles already and is yet to walk 14 miles.

The total distance Kadisha has to walk is 24 miles

The distance she has walked is represented in the ratio as 5

The distance she has left to work is 7

5x + 7x = 24

12x = 24

x = 2

Therefore, the distance that Kadisha has walked is

5 × 2 = 10 miles

The distance she is yet to walk is

7 × 2 =14 miles

When represented as a ratio, 10/14 is the same as 5/7, so the answer is proven to be correct.

Complete Question:

A hiking trail is 24 miles from start to finish. There are two rest areas located along the trail. a. The first rest area is located such that the ratio of the distance from the start of the trail to the rest area and the distance from the rest area to the end of the trail is 2:9. To the nearest hundredth of a mile, how far is the first rest area from the starting point of the trail? b. Kadisha claims that the distance she has walked and the distance she has left to walk has a ratio of 5:7. How many miles has Kadisha walked?

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Answer:

b=3x+y

Step-by-step explanation:

y=-3x+b

get b by itself on one side

y+3x=b

The rearranged equation, [tex]b = Y + 3x[/tex], allows us to determine the value of b based on the given values of Y and x.

Rearranging an equation involves manipulating the terms and variables in order to isolate a specific variable or simplify the equation. The goal is to rewrite the equation in a different form while maintaining equality.

In the context of solving the equation [tex]Y = -3x + b[/tex] for b, rearranging the equation means moving the terms around so that b is isolated on one side of the equation. This is done by performing inverse operations on the equation.

Starting with [tex]Y = -3x + b[/tex], we want to isolate b. To do this, we need to move the [tex]-3x[/tex] term to the other side of the equation.

By subtracting [tex]-3x[/tex] from both sides, we can eliminate the -3x term on the right-hand side. The equation becomes [tex]Y - (-3x) = b[/tex].

Simplifying further, [tex]Y + 3x = b[/tex]. Now, b is isolated on one side of the equation.

Therefore, the rearranged equation, [tex]b = Y + 3x[/tex], allows us to determine the value of b based on the given values of Y and x.

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The length of the segment CB in triangle ABC where [tex]\overline{AM}[/tex] is a median line and CM = 5·x - 2, MB = 3·x + 12, CM = MB, is 66 units

A median line is a line that is drawn from a vertex of a triangle to the middle of the opposite side such that the it bisects the opposite side.

The parameters are; [tex]\overline{AM}[/tex] = A median line

Length of segment CM = 5·x - 2

Length of segment MB = 3·x + 12

Required; The length of segment CB

The median line [tex]\overline{AM}[/tex] bisects the segment CB

Therefore; CM = MB

CB = CM + MB (Angle addition postulate)

Which gives; 5·x - 2 = 3·x + 12 (substitution property of equality)

2·x = 14

x = 14 ÷ 2 = 7

CB = CM + MB

CB = (5·x - 2) + (3·x + 12)

Which gives; CB = 8·x + 10

x = 7

CB = 8×7 + 10 = 66

The length of segment CB =  66

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An ordered pair which is a solution to the given system of linear equations is: (1, 4).

In order to determine which ordered pairs are valid and true solutions based on the given system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;

For ordered pair (0, -4), we have:

-3x + 2y = 5

-3(0) + 2(-4) = 5

0 - 8 = 5

-8 = 5 (No)

For ordered pair (-3, 5), we have:

-3x + 2y = 5

-3(-3) + 2(5) = 5

9 + 10 = 5

19 = 5 (No)

For ordered pair (1, 4), we have:

-3x + 2y = 5

-3(1) + 2(4) = 5

-3 + 8 = 5

5 = 5 (Yes)

For ordered pair (1, 4), we have:

y = 8x - 4

4 = 8(1) - 4

4 = 4 (Yes).

For ordered pair (-7, -8), we have:

-3x + 2y = 5

-3(-7) + 2(-8) = 5

21 - 16 = 5

5 = 5 (Yes)

For ordered pair (-7, -8), we have:

y = 8x - 4

-8 = 8(-7) - 4

-8 = -58 (No).

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The expansion of (3x-4y)¹¹ using Pascal's Triangle is:

177147x¹¹ - 2598156x¹⁰y - 17321040x⁹y² - 69284160x⁸y³ - 184757760x⁷y⁴ -  344881152x⁶y⁵ - 458941536x⁵y⁶ - 437944320 x⁴y⁷ - 291962880x³y⁸ - 129761280x²y⁹ + 34603008xy¹⁰ - 4194304y¹¹.

So, the expression is:

Now, use Pascal's Triangle to expand as follows:

Therefore, the expansion of (3x-4y)¹¹ using Pascal's Triangle is:

177147x¹¹ - 2598156x¹⁰y - 17321040x⁹y² - 69284160x⁸y³ - 184757760x⁷y⁴ -  344881152x⁶y⁵ - 458941536x⁵y⁶ - 437944320 x⁴y⁷ - 291962880x³y⁸ - 129761280x²y⁹ + 34603008xy¹⁰ - 4194304y¹¹.

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The measure of angle ∠U = 73.5° in triangle UVW.

A polygon having three vertices and three sides are called a triangle.

Triangles are closed, two-dimensional shapes with three sides, three angles, and three vertices. A triangle is a part of a polygon. In the picture above, Triangle ABC is visible. examples of triangles. Many commonplace items, including sandwiches, traffic signs, clothing hangers, and pool table racks, have triangles.

The line segment VW ≅ UV. That implies ∠U = ∠W.

Given that a triangle's angle measurements add up to 180,

∠U + ∠W + ∠V = 180°

∠U + ∠U + 159° = 180°

2 ∠U = 21°

∠U = 10.5°

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Based on the definition of perpendicular bisector, the value of b = 5.

A perpendicular bisector can be described as any line that bisects another line segment at right angles.

This means, the measure of the angles at the point of bisection are right angles (90 degrees).

Therefore:

12b + 30 = 90 [definition of perpendicular bisector]

Solve for b

12b + 30 - 30 = 90 - 30

12b = 60

Divide both sides by 12

12b/12 = 60/12

b = 5

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Answer:

20 mph

Step-by-step explanation:

If it took the car originally 12 minutes to travel the road with an average speed of 60 mph. Than you would just divide the average speed by three because it is taking 3 times the amount of time than it would originally.
36/12=3
60/3=20
20 mph

Answer:

John's rate is faster than Paul's Step-by-step explanation: John, 64 push-ups/4min = 16 push-ups per minute Paul,

:

The value of x in 7-3(2x-1)= 2x+26 is -4

Linear equation is is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line. The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution. For example, the equation x + 3= 0 has only one solution as x = -3.

To find x in 7-3(2x-1)= 2x+26 ,we solve the parentheses first which will give

7- 6x+3= 2x+26

collect the like terms

-6x-2x=26-3-7

-8x= 16

divide both side by -8

-8x/-8= 16/-8

therefore x= -2

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Answer:

25

Step-by-step explanation:

Let the age of Thomas be x.

Huilan is 11 years older than Thomas,

Huilan = x + 11

The sum of their ages is 61.

x + x + 11 = 61

2x + 11 = 61

2x = 61 - 11

2x = 50

x = 50/2

x = 25

Hence,

Thomas's age is 25.

The correct option regarding whether the linear functions are parallel is given as follows:

C. The slope of f(x) is of 2 and of g(x) is of 5. Since they are different, the lines are not parallel.

First, we start with the definition of a linear function, in slope-intercept format, which is given as follows:

y = mx + b.

In which the coefficients are given as follows:

If two linear functions are parallel, they have the same slope.

The slope is given by the change in y when x is increased by one, hence the slopes of the functions are given as follows:

Due to the different slopes, the two lines are not parallel, hence option C is correct.

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Step-by-step explanation:

f(x) = 2x - 3

f(m) = 5

that means

5 = 2m - 3

8 = 2m

m = 4

f(-2) = n

that means

n = 2×-2 - 3 = -4 - 3 = -7

so,

m + n = 4 + -7 = -3

The y-intercept of the equation y = (x - 4) is -4

From the question, we have the following equation that can be used in our computation:

y --(x - 4)

Rewrite the equation properly

So, we have the following representation

y = (x - 4)

To calculate the y-intercept, we set x to 0

So, we have the following representation

y = 0 - 4

Evaluate the difference

y = -4

Hence, the y-intercept is -4

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The value of  x is 26.125°

The measures of each angle are as shown below:

∠P  = 115.625°

∠Q =21.125°

∠R=43.25°

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

In ∆PQR

∠P is 14 less than five times x = 5x-15

∠Q is five less than x=x-5

∠R is nine less than twice x=2x-9

Angle sum property of triangle : The sum of all angles of triangle is 180°

So,5x-15+x-5+2x-9=180

8x-29=180

8x=180+29

x=( 180+29 )/8

x=26.125

So,∠P  = 5x-15 =5(26.125)-15=115.625°

  ∠Q =x-5=26.125-5=21.125°

 ∠R=2x-9=2(26.125)-9=43.25°

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Answer:

Step-by-step explanation:

1) sixty-seventh and nine hundred and twenty-five thousands

2)one-eighty two and fifty-one thousands

3)thirty-nine and thousand four thirty two thousands

4) eighty five and two sixty seven thousands

5) ninety seven and seven thousand and three-fifty two thousands

Answer:

12*(1/4+1/3)(1/4+1/3)+2/3= 12*(1/16+1/12+1/12+1/9)+2/3=12*(9/144+12/144+12/144+16/144)+2/3= 12*(49/144)+2/3=12*49/144+2/3= 49/12+2/3=49/12+8/12=57/12= 4*9/12=4* 3/4

Step-by-step explanation:

Answer:

[tex]-9,-18,-27,-36[/tex]

Step-by-step explanation:

If the first term of a sequence is [tex]-9[/tex] and the common difference is [tex]-9[/tex], then each successive term in the sequence is [tex]9[/tex] less than the previous term:

[tex]a_n=-9n[/tex]

Therefore, the first term is [tex]-9[/tex], followed by [tex]-18[/tex], [tex]-27[/tex], and [tex]-36[/tex].

Answer:

5.33 inches

Step-by-step explanation:

Mean is another term for average. Therefore, we add up all precipitation items from Column B and divide by the total number of items (9):

[tex]5.98+6.05+7.59+5.27+3.11+7.18+2.95+7.22+2.61=47.96[/tex]

[tex]47.96\div{9}\approx{5.33}[/tex]

The ratio of the volume of the triangular prism to the volume of

 the cuboid is 3: 20

What do you mean by prism?

The base of the triangular prime is a right triangle with legs 5 cm, 4 cm

∴ b = 5 cm and h = 4 cm

∵ Its height is 9 cm

∴ H = 9 cm

→ Substitute them in the rule of the prism above

∵ V =  1/2 * (5)(4) × 9

∴ V = 90 cm³

∵ The dimensions of the base of the cuboid are 6 cm and 5 cm

∴ L = 6 cm and W = 5 cm

∵ Its height is 20 cm

∴ H = 20 cm

→ Substitute them in the rule of the cuboid above

∵ V = 6 × 5 × 20

∴ V = 600 cm³

→ Find the ratio between them

∵ V: V = 90: 600

→ Divide each term of the ratio by 30 to simplify them

∴ V: V = 3: 20

∴ The ratio of the volume of the triangular prism to the volume of

 the cuboid is 3: 20

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The statement that can represent P = Q is If x = 5, then 2x = 10. That is option B.

An equivalent value is defined as the value or an equation that can be used to replace another value in an expression.

From the question, the expression P--> Q means that P = Q.

The statement that shows that a value is equivalent to the other;

x = 5, then 2x = 10

That is, X = 5 can also be written as follows;

2x = 10.

This is because, when 2x = 10 is simplified, X = 10/2 =5

Therefore, P =Q because both shears the same value and can be said to be equivalents.

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Answer:

  -8, -5

Step-by-step explanation:

You want the second column of matrix B given matrices A and AB.

Matrix B can be found by left-multiplying AB by A^-1, as shown in the attachment.

The second column of matrix B is ...

  [tex]\left[\begin{array}{c}-8\\-5\end{array}\right][/tex]

The number of 2 points and 5 points are 30 and 8 respectively.

Let the number of 5 points = x

Let the number of 2 points = x + 22

It was also stated that the test is worth 100 points and that each problem is worth either 2 points or 5 points.

This will be:

5x + 2(x + 22) = 100

5x + 2x + 44 = 100

7x + 44 =

Collect like terms

7x = 100 - 44

7x = 56

Divide

x 56 / 7

x = 8

Number of 5 points = 8

Number of 2 points = x + 22 = 8 + 22 = 30

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Answer:

Lets do Jacob's equation first :)

50$ for fee

70$ per hour (h)

Dollars = 70h + 50

Now lets do Ryan's :)

40$ for fee

75 per hour (h)

Dollars = 75h + 40

Have an amazing day!!

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The function y = 4 is a straight line and not an exponential function.

Given, a function y = 4

now, we have to test the function is exponential or not

As, the function is a straight line graph i.e. y = 4.

Now, the function y = 4 is a straight line graph which is parallel to the x-axis.

So, the function y = 4 is not an exponential function

Hence, the function y = 4 is a straight line and not an exponential function.

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A and B are mutually exclusive events

The correct answer is yes

What are mutually exclusive events?

Two events are mutually exclusive in statistics and probability theory if they cannot happen simultaneously. A coin toss is the most basic illustration of two events that cannot coexist. The result of tossing a coin can be either heads or tails, but neither outcome can happen at the same time.

We are given that Amanda has 5 office assistants.

Events A is the event that at least 4 of them are men. this means that there is at most 1 female assistant

Events B is the event that at least 4 of them are women. this means that there is at most 1 male assistant.

Now one of the conditions is possible but both at the same time is not possible

Hence the both events are mutually exclusive.

The correct answer is yes

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