A car dealership is comparing the sales of two employees. The equation that represents Kevin’s sales is S = 60n-5, where n represents the number of years of employment. Dylan’s sales are displayed in the table below:

Years of Employment (n):
2
6
10
Number of Cars Sold (S)
104
324
544

(n) (S)
2 104
6 324
10 544

Compare the statement below to compare the employees’ rate of change.

greater than, 55, 60, -5, -116, 220, less than, 104, equal to

Kevin’s rate of change is _______. Dylan’s because Kevin sells_______ cars per year employed and Dylan sells ________ cars per year employed.

Summing complex numbers is easy: you just sum the real parts together and the imaginary parts together:

[tex](a+bi)+(c+di)=(a+c)+(b+d)i[/tex]

So, you have

[tex](4 - 2i) + (12 + 7i) = (4+12)+(-2+7)i = 16+5i[/tex]

I guess you're asking to compute the difference,

-3224₅ - 3434₅

Ignore the minus signs for now, and consider the sum

3224₅ + 3434₅

In the 5⁰ place (the rightmost digit) we have

4₅ + 4₅ = 8 = 13₅

Carry the 1 to the next place. In the 5¹ place,

2₅ + 3₅ + 1₅ = 6 = 11₅

Carry the 1. In the 5² place,

2₅ + 4₅ + 1₅ = 7 = 12₅

Carry the 1. In the 5³ place,

3₅ + 3₅ + 1₅ = 7 = 12₅

So,

3224₅ + 3434₅ = 12213₅

and hence

-3224₅ - 3434₅ = -12213₅

Answer:

Chris will type 7,000 words in 20 minutes. You can use 350 x 20 to find your answer.

Step-by-step explanation:

Answer:

76.665

Step-by-step explanation:

Given that,

cos α = 0.93, Sin θ =0.26 and tanβ = 0.84

We need to find the value of α, β and θ

[tex]\alpha =\cos^{-1}(0.93)\\\\=21.565\\\\\beta =\tan^{-1}(0.84)\\\\=40.030\\\\\theta=\sin^{-1}(0.26)\\\\=15.07[/tex]

So,

[tex]\alpha +\beta +\theta=21.565+40.03+15.07\\\\=76.665[/tex]

Hence, the final answer is 76.665.

Answer:

Number 10. is SAS I believe

Step-by-step explanation:

Answer:

x= 12

Step-by-step explanation:

16=24

2x-6= 18

2x= 18+6= 24

2x= 24

x= 24/2= 12

hope it helps!

Answer:

x=12

Step-by-step explanation:

Line AC and line PR are congruent.

2x-6=18

2x=24

x=12

Answer:

The unit rate per week is $4.

Step-by-step explanation:

Mahua has money automatically deposited into a savings account each week. After 5 weeks, she has $20. After 7 weeks, she has $28. The unit rate is measured in dollars per week. What is the constant of proportionality?​

The answer is 4

Answer:

Step-by-step explanation:

$4.75+1+$8.20= $13.95

$20.00 - $13.95 = $6.05

Answer:

$6.05

Step-by-step explanation:

candy - $4.75

soda - $1

ticket - $8.20

4.75 + 1 + 8.20

$13.95

bill - $20

20 - 13.95

$6.05

Answer:

288 combinations.

Step-by-step explanation:

Simply multiply 2! by 3! and 4! which equals to 2 * 6 * 24 = 288 combinations.

Hope this helped!

Answer:

24

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

Answer:

194 square units

Step-by-step explanation:

perimeter is the measurement of the distance surrounding a shape. There fore, the perimeter of the shape is: 42+53+56+44=194 square units

Answer:

Step-by-step explanation:

1. 20

2. 150

3. 56

4. 60

hope this helps. i am in algebra two so you can trust my answers. happy holidays and stay safe

The number of collections of 7 books can you​ take is 1685.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Total books= 15

n = 15 (the number of possible books) and r = 7 (the number of books to be taken).

Now,

To find the number of different collections of 7 books, we can use the formula for combinations. Combinations are ways of selecting items from a collection, such that the order of selection does not matter.

The formula for combinations is:

nCr = n! / (r! (n - r)!)

where n is the number of items in the collection, r is the number of items to be selected, and ! is the factorial operator.

We can plug these values into the formula:

15C7 = 15! / (7! (15 - 7)!)

= 15! / (7! 8!)

= (15 x 14 x 13 x 12 x 11 x 10 x 9 x 8!) / (7! 8!)

= (15 x 14 x 13 x 12 x 11 x 10 x 9) / (7 x 6 x 5 x 4 x 3 x 2 x 1)

= (6435 x 1320) / (5040)

= 8491770 / 5040

= 1685.25

Since we cannot have a fraction of a collection, we round down to get the final answer:

15C7 = 1685

Therefor, by algebra the answer will be 1685.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Answer:

61

Step-by-step explanation:

we kno that a triangle is 180 degrees so we just add the first two angles

37 + 82 = 119

then subtract that from 180

180 - 119 = 61

so x = 61 degrees

lmk if this wrong and ill fix it

hope this helps <3

Answer:61

Step-by-step explanation:

i did test on k12 it was right

Answer:

Number of students that use pen= 96

Step-by-step explanation:

Giving the following information:

Ratio pens to pencil= 3:2

First, we need to calculate the proportion of pens and pencils in this middle school:

Pens= 3/5= 0.6

Pencil= 2/5= 0.4

Now, we can determine the number of students that uses pens:

Number of students that use pen= 160*0.6

Number of students that use pen= 96

Answer:

There are 15 carbs in one glass of milk and 13 carbs in one snack bar.

Step-by-step explanation:

Let m be the number of carbohydrates in one glass of milk and

Let s be the number of carbohydrates in one snack bar

Then according to given information

The system of equations will be:

[tex]4m+2s = 86\\2m+3s = 69[/tex]

Multiplying equation 2 by 2 and subtracting from equation 1

[tex]2(2m+3s) = 69*2\\4m+6s = 138[/tex]

Subtracting from equation 1

[tex]4m+2s-(4m+6s) = 86-138\\4m+2s-4m-6s = -52\\-4s = -52\\\frac{-4s}{-4} = \frac{-52}{-4}\\s = 13[/tex]

Putting s=13 in equation 1

[tex]4m+2(13) =86\\4m+26 = 86\\4m = 86-26\\4m = 60\\\frac{4m}{4} = \frac{60}{4}\\m = 15[/tex]

Hence,

There are 15 carbs in one glass of milk and 13 carbs in one snack bar.

Answer:

We want to get y and x such that it satisfices all geometric relations:

3y=87

y=87/3 = 29 degree

Hence y= 29 degree

Two parallel lines tell us that 87=3x such that x=29

Step-by-step explanation:

60 x 5 + 45 = 345 Seconds

Answer:

Step-by-step explanation:

1. y + 3 = 0 ⇒

2. y² - 3y + 9 = 0

Answer:

Do u still need the answer?

Step-by-step explanation:

Answer:

(θ) = 84°

Step-by-step explanation:

Given:

sin(θ)=cos(6)

Find:

value of θ

Computation:

sin(θ)=cos(6)

We know that

cos(90-a) = sin(a)

So,

sin(θ)=cos(90-84)

sin(θ)=sin(84)

So,

(θ) = 84°

The value of (θ) = 84°

Given that,

Based on the above information, the calculation is as follows:

sin(θ)=cos(6)

We know that

cos(90-a) = sin(a)

So,

sin(θ)=cos(90-84)

sin(θ)=sin(84)

So,

(θ) = 84°

Learn more: https://brainly.com/question/6789603?referrer=searchResults

Answer:

Part A: B

Part B: I think 3

Step-by-step explanation:

Simply for Part A, put all the numbers together and add them for 2*16^1/3, you just multiply the 2 and 16. For the second part, use process of elimination

HOPE THIS HELPS:

SSG

Answer:

([tex]\frac{t}{3}[/tex])÷16=C

Step-by-step explanation:

7 months = 3/4

1 month = 3/4 ÷ 7

= 3/28

12 months / 1 year = 3/28 x 12

= 9/7

not sure if its correct

Answer: 1 2/7

trust me it just worked for me on IXL

Answer:

5th

Step-by-step explanation: because its the half and the closest area of the figure

Answer:

Step-by-step explanation:

From this study:

The null hypothesis:

[tex]H_o : p_1 =p_2[/tex]

The altenative is:

[tex]H_a : p_1 \ne p_2[/tex]

This test is a two-tailed test.

However; we are told that the wives have 44 success out of 66, then the number of failures will be 22.

Then;

[tex]\hat p_1 = \dfrac{44}{66}[/tex]

[tex]\hat p_1 = 0.6667[/tex]

Similarly, the husbands have 18 success out of 46, then the number of failures will be 28

Then:

[tex]\hat p_2 = \dfrac{18}{46}[/tex]

[tex]\hat p_2 = 0.3913[/tex]

The pooled proportion [tex]p = \dfrac{18+44}{66+46}[/tex]

[tex]p = \dfrac{62}{112}[/tex]

p = 0.55357

The estimated standard error S.E is:

[tex]= \sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}[/tex]

= [tex]\sqrt{ 0.55357(1-0.55357) \Big( \dfrac{1}{66} + \dfrac{1}{46} \Big)}[/tex]

[tex]=\sqrt{ 0.55357(0.44643) \Big(0.01515 + 0.021739 \Big)}[/tex]

[tex]=\sqrt{ 0.00911638798}[/tex]

= 0.0955

The Z test statitics can now be computed as:

[tex]Z = \dfrac{ \hat p_1 - \hat p_2}{\sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}}[/tex]

[tex]Z = \dfrac{0.6667 -0.3913}{0.0955}[/tex]

Z = 2.88

Th p -value from the test statistics is:

p-value = 2P(Z > 2.88)

p- value = 2 P (1 - Z < 2.88)

p-value = 2 ( 1 - 0.998)

p-value = 2 ( 0.002)

p -alue = 0.004

Decision Rule:

Thus, at 0.01 significance level, we reject the null hypothesis because, p-value is less than that (i.e. significance level)

Conclusion:

We conclude that there is a significant  difference between the proportions.

Answer:

Please check the explanation.

Step-by-step explanation:

Determining the length of BC

From the diagram, it is clear that

Since points A and C are located on a horizontal straight line. Thus, the length of BC can be determined by counting the x-axis units from reaching x = -8 to x = 8. i.e. 8-(-8) = 8+8 = 16

Thus, the length of BC = 16 units

Determining the length of CD

Given

The distance between C(8, 10) and D(2, -2)

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]CD=\sqrt{\left(2-8\right)^2+\left(-2-10\right)^2}[/tex]

      [tex]=\sqrt{6^2+12^2}[/tex]

      [tex]=\sqrt{36+144}[/tex]

      [tex]=\sqrt{180}[/tex]

      [tex]=\sqrt{36\times 5}[/tex]

      [tex]=6\sqrt{5}[/tex]

Thus, the length of CD [tex]=6\sqrt{5}[/tex] units

Determining the length of ED

Given

The distance between E(-8, -4) and D(2, -2)

[tex]ED=\sqrt{\left(2-\left(-8\right)\right)^2+\left(-2-\left(-4\right)\right)^2}[/tex]

      [tex]=\sqrt{10^2+2^2}[/tex]

      [tex]=\sqrt{100+4}[/tex]

      [tex]=\sqrt{104}[/tex]

       [tex]=\sqrt{26\times \:4}[/tex]

        [tex]=2\sqrt{26}[/tex]

Thus, the length of ED [tex]=2\sqrt{26}[/tex] units

Determining the length of EB

From the diagram, it is clear that

Since points E and B are located on a vertical straight line. Thus, the length of EB can be determined by counting the y-axis units from reaching y = -4 to y = 10. i.e. 10-(-4) = 10+4 = 14

Thus, the length of EB = 14 units

Answer:

Option A

Step-by-step explanation:

From the graph attached,

Vertical asymptote of the given function → x = -4

Horizontal asymptote → y = 0

Oblique asymptote → None

Therefore, graph that has been given in the picture is,

F(x) = [tex]\frac{1}{(x+4)^2}[/tex]

Option (A) will be the answer.

Answer:

y = 15 - 2x

Step-by-step explanation:

The starting temp is 15, and we expect it to fall 2 degrees each night. We substitute x and y, y = total temp at the end of the examined time period, x = number of hours.

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Answer:

15 - 2(x)

x = hours

Step-by-step explanation: