1. An air conditioning salesperson receives a base salary of $2850 per month plus a commission. The 1/2 commission is 2% of the sales up to and including $25.000 for the month and 5% of the sales over $25,000 for the month.

a. Write a piecewise function that relates the salesperson total monthly income based off or his/her sales for the month.

b. Sketch an accurate graph of this piecewise function

c. Determine the salesperson's monthly income if his/her sales were $43,000 for the month.​

Answer: Bikes were ordered as part of new order order is = 80 bikes

scooters were ordered as part of new order order is = 32 scooters.

Step-by-step explanation:

Given data,

A sporting goods store ordered new bikes and scooters.

For every 3 bikes ordered, 4 scooters were ordered.

Then, The ratio of the bike and scooter is equal to = 3:4

where,

bike ratio is 3

scooter ratio is 4

Then 48 bikes

original order = 64 scooter

                       = 64/4

                       = 16 scooters

However, bike is more popular than scooter.

So,

they changed it into new ratio = 5:2

where,

5 is equals to bikes ratio

and 2 is equal to scooter ratio.

Then,

5(original order) = 5(16)

                           = 80 bikes

2(original order) = 2(16)

                           = 32 scooters.

Therefore,

bikes were ordered as part of new order order is = 80 bikes

scooters were ordered as part of new order order is = 32 scooters.

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The point slope form of the given slope intercept form is:

y ₋ 9 = ₋1/3 (x ₋ 0)

Given, we have the slope intercept form as :

y = ₋1/3x ₊ 9

To convert the given form into point slope form we first need to determine the slope and the point.

A straight line is represented as a point on the line and its slope in point slope form. That means using the point slope form, one may find the equation of a line passing through the points (x ₁, y ₁) and having a slope of "m".

from the given equation y = ₋1/3x ₊ 9

the above equation is in the form of: y = mx ₊ b

slope (m) = ₋1/3

y intercept (b) = 9

x intercept = 0

Therefore, the points are: (0,9) = (x₁ , y₁)

hence the point slope form is:

y - y₁ = m(x ₋ x₁)

y ₋ 9 = -1/3(x ₋ 0)

hence we get the required point slope form.

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Answer: 3,167

Step-by-step explanation:

Answer:

a 48 x 48 unit cube

Step-by-step explanation:

a 1x 1 has 4-line segments

a 2 x 2 has 6-line segments

a 3 x 3 has 8-line segments

we see a pattern here

3 * 2 + 2= 8

2 * 2+ 2+= 6

1 * 2 + 2= 4

so 48 * 2 + 2= 100

The driver that is predict to win the next drag race will be A. Driver A had a mean race time of 3.81 seconds and a standard deviation of 0.21 seconds.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation implies that the values are dispersed over a wider range, a low standard deviation shows that the values tend to be close to the mean of the collection.

Given that we are aware that standard deviations indicate variability in a data collection, the variability is greater the higher the standard deviations.

In this case, A has the higher standard deviation. Therefore, the driver that is predict to win the next drag race will be Driver A had a mean race time of 3.81 seconds and a standard deviation of 0.21 seconds.

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Based on the information provided, we have the following:

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

Next, we would determine whether or not the given values of variable x are solutions to the given inequality by evaluating as follows:

When x = 10, we have:

15 < 10; No, it is not a solution.

When x = 16, we have:

15 < 16; Yes, it is not a solution.

When x = 13, we have:

15 < 13; No, it is not a solution.

When x = 20, we have:

15 < 20; Yes, it is not a solution.

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Complete Question:

For each value of x, determine whether it is a solution to  15 < x.

Is it a solution?

10: yes or no

16: yes or no

13: yes or no

20: yes or no

For the standard deviation, from the equation find the value of X₀ is 10.2

What is Standard Deviation ?

The standard deviation measures the degree of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean (also known as the expected value) of the set, whereas a high standard deviation indicates that the values are dispersed over a wider range.

Given

Z = 1.3

μ = 5 , σ = 0.4

Now for  X₀

Z =    X₀ -X / σ

1.3 =   X₀ - 5 / 0.4

X₀ = 10.2

Hence, X₀ = 10.2

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Answer:

10p, assuming p is a variable

Answer:

[tex] \frac{3}{4} x[/tex]

Answer:

2/5

Step-by-step explanation:

if there’s 5 pets and 2 of them are birds 2/5 of them are birds

Answer:

2

Step-by-step explanation:

The total pages read by Edwin's little brother is 5 and his father is 55 pages in reading competition.

Example: 5 is the number.

If the number 5 is multiplied by ten, the process looks like this.

5 × 10 = 50

50 + 5 = 55

55 as a final result

For, the given question,

Edwin read 50 pages in a week in reading competition.

Edwin reads 10 times more than his brother.

Thus, if the pages read by his little brother is x.

Then,

10 x = 50

x = 5

Thus, pages read by his little brother is 5 pages.

Now, the pages read Edwin is 10 times more than his father.

his father = 50 + 5 = 55

Thus, the pages read by his father is 55 pages.

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Answer:

x=1/2

Step-by-step explanation:

Hope this helps

Sorry if I'm wrong

The required solution from the graph that variable X and Y have a strong negative association.

Correlation is a statistical measure that expresses the extent to which two variables are linearly related. Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.

Given:

The given graph attached below .The graph is between variable x and variable y.

According to given question we have

The graph slopes downwards as variable X increases, hence we have a negative relationship between X and Y.

The graph shows strong negative because we see a correlation of downwards sloping.

The trend produced by the graph is straight forward with points close to one another, hence forming a well - defined pattern. These depicts a Strong association between the variable.

Therefore, the required solution from the graph that variable X and Y have a strong negative association.

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Answer:9514 1404 393

Answer:

 y = 95°

 x = 60°

Step-by-step explanation:

The applicable theorem is the one that says the exterior angle (120°) is the sum of the remote interior angles:

 120° = 25° +y

 95° = y . . . . . . . . . . subtract 25° from both sides

_____

If you like, you can get there by calculating x (or not):

 x = 180° -120°

 y = 180° -25° -x = 180° -25° -(180° -120°)

 y = 120° -25° . . . . . simplify — notice we didn't actually have to compute x

Step-by-step explanation:

The area of the rectangular deck is 20 ft²

The length of a rectangular deck is five times its width.

Therefore,

l = 5w

perimeter of the rectangular deck = 2(l + w)

where

Therefore,

24 = 2(5w + w)

24 = 2 × 6w

12w = 24

divide both sides by 12

w = 24 / 12

w = 2

Therefore,

area of the rectangular deck = lw

area of the rectangular deck = 2 × 10

area of the rectangular deck = 20 ft²

Therefore, the area of the rectangular deck is 20 ft²

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The solution to the given system of equations is x = -2, y = 4, and z = -2. That is, the solution is (-2, 4, -2)

From the question, we are to solve the given system of equations

The given system of equations is

4x - y -2z = -8      ------------ (1)

-2x + 4z = -4        ------------ (2)

x + 2y = 6            ------------ (3)

From equation (2)

-2x + 4z = -4

4z = -4 + 2x

Divide through by 2

2z = -2 + x         ----------- (4)

From equation (3)

x + 2y = 6

2y = 6 - x

y = 3 - 1/2(x)      ---------- (5)

Substitute equations (4) and (5) into equation (1)

4x - y -2z = -8

4x -(3 -1/2(x)) - (-2 +x) = -8

4x -3 + 1/2(x) + 2 - x = -8

Multiply through by 2

8x - 6 + x + 4 -2x = -16

Collect like terms

8x + x -2x = -16 + 6 - 4

7x = -14

x = -14/7

x = -2

Substitute the value of x into equation (4)

2z = -2 + x

2z = -2 + (-2)

2z = -2 - 2

2z = -4

z = -4/2

z = -2

Substitute the value of x into equation (5)

y = 3 - 1/2(x)

y = 3 - 1/2(-2)

y = 3 + 1

y = 4

Hence, the solution to the given system of equations is x = -2, y = 4, and z = -2. That is, (-2, 4, -2)

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By using a trigonometric relation, we can see that the missing angle is a = 41.1°

In the image we have a right triangle where we know the measures of the 3 sides and we want to find an interior angle.

These measures are:

Now we can use the trigonometric relation:

Cos(a) = (adjacent cathetus)/(hypotenuse)

Where a is the angle we want to get, so we can rewrite:

Cos(a) = 55/73

Now, if we apply the inverse cosine function in both sides, we get:

Acos(Cos(a)) = Acos( 55/73)

a = Acos(55/73) = 41.1°

By using a trigonometric relation, we can see that the missing angle on the right triangle is a = 41.1°

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The box-plot for the package shows that median is almost at center and the data is roughly symmetrical and mound -shaped (normally-distributed ) .

A box plot, ajso referred to as a box and whisker plot, is a type of chart that is widely used in data analysis in descriptive statistics.

Now we know that from the box plot that the median is almost at the Centre , and both the third quartile and first quartiles are almost at equal distance from median, thus we can say that it is almost symmetric and normally distributed.

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Answer:

Width=17m and Length=31m

Step-by-step explanation:

The perimeter of basketball court is rectangle in shape and is 96 m.

let us assume width be x m

so accordingly length will be 2*x-3=2x-3m

Perimeter= 2*(length+width)

96=2*(2x-3+x)

96=2*(3x-3)  

96=6x-6

6x=102

x=102/6

x= 17

so, the width is 17m

and length is 2x-3=2*17-3=31m

(B) 1 line can be drawn through points J and K.

So,

Therefore, (B) 1 line can be drawn through points J and K.

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The correct question is given below;
Points J and K lie in a plane. How many lines can be drawn through points J and K?

a. 0

b. 1

c. 2

d. 3

Answer: 75^5 which mean 75 to the 5th power

Step-by-step explanation:

Answer:

20,200

Step-by-step explanation:

Let the number of lines in each cube be a term in the sequence:

4, 12, 24, 40, ...

Work out the differences between the terms until the differences are the same:

[tex]4 \underset{+8}{\longrightarrow} 12 \underset{+12}{\longrightarrow} 24 \underset{+16}{\longrightarrow} 40[/tex]

     [tex]8 \underset{+4}{\longrightarrow} 12 \underset{+4}{\longrightarrow} 16[/tex]

As the second differences are the same, the sequence is quadratic and will contain an n² term.  The coefficient of n² is always half of the second difference.  Therefore, the coefficient of n² is 2.

To work out the nth term of the sequence, write out the numbers in the sequence 2n² and compare this sequence with the given sequence.

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5}2n^2 & 2 & 8 & 18 & 32\\\cline{1-5}\sf operation & +2&+4&+6&+8 \\\cline{1-5}\sf sequence & 4 & 12 & 24 & 40\\\cline{1-5}\end{array}[/tex]

From inspection of the table, we can see that the "operation" is to add 2n to 2n².

Therefore, the nth term is:

[tex]a_n=2n^2+2n[/tex]

To find the number of lines in the 100th cube, substitute n = 100 into the equation for the nth term:

[tex]\begin{aligned}n=100 \implies a_{100} & = 2(100)^2+2(100)\\& = 2(10000)+200)\\& = 20000+200\\& = 20200\end{aligned}[/tex]

Therefore, the 100th cube has 20,200 lines.

Answer:

529 cm

Step-by-step explanation:

Given problem is,

→ 165cm + 567cm - 203cm

Let's solve the problem,

→ (165 + 567) - 203

→ 732 - 203

→ 529 cm

Hence, solution is 529 cm.

Explanation/Answer:

Use long addition and long subtraction to solve

→ [tex]165 + 567\\5 + 7 = [1]2\\6 + 6 = 1+2 = 3\\1 + 5 = 6 + 1 = 7\\700 + 30 + 2 = \bold{732}[/tex]

→ [tex]732 - 203\\3 - 12 = 9(Because~of~borrowing)\\2 - 0 = 2(Borrowed~1~for~3-2)\\7 - 2 = 5\\500 + 20 + 9 = \bold{529}[/tex]

Thus,

your answer is 529 cm.

serian

respuesta 9 .5 por 56. 5678902