What is the area of rectangle PQRS?



A.
20.25 square inches
B.
21.375 square inches
C.
27.00 square inches
D.
42.75 square inches

The first and the second sequence are arithmetic and geometric sequence, respectively

The first number in both sequences is 14

From the question, we have the following rules

Start = 7

Multiply by 2

Start = 8

Add = 2

So, the numbers in the sequence are:

Rule 1: 7, 14, 28, 56......

Rule 2: 8, 10, 12, 14, .....

By comparing the numbers in the sequence, we can see that the first number in both sequences is 14

Read more about sequence at:

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Answer:

median-75

mode-70

range-40

mean-77

Step-by-step explanation:

Answer: More than 26.5 inches

Step-by-step explanation:

Solve this equation :

[tex]\frac{32+24+x}{3} \geq 27.5[/tex]

x>26.5

Answer:

M is (-7,3)

N is (0,1)

I think p is (4,0) but the option isn’t there so I must’ve done something wrong though I can’t find what-

Answer:

30

Step-by-step explanation:

24/4=6

42/7=6

6 x 5=30

Answer:

Y = 28

Step-by-step explanation:

Y=16 + 12 = 24

Therefore the y scored 24 points

Answer:

A sample of 139 should be taken.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Population standard deviation of $3,000.

This means that [tex]\sigma = 3000[/tex]

How large a sample should be taken if the desired margin of error is $500?

A sample of n is needed.

n is found when M = 500. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]

[tex]500\sqrt{n} = 1.96*3000[/tex]

Dividing both sides by 500

[tex]\sqrt{n} = 1.96*6[/tex]

[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]

[tex]n = 138.3[/tex]

Rounding up:

A sample of 139 should be taken.

Answer:

35

Step-by-step explanation:

its the 4th step your welcome

20-25-30-35

56-49-42-35

Answer: 35 I got it correct on the quiz

Step-by-step explanation:

Answer:

私は人間の前に神の弓です

翻訳してください

Step-by-step explanation:

Step-by-step explanation:

50°+50°+θ=180°

θ=180°-100°

θ=80°

Answer:

80 or b....................................

Answer:

1

Step-by-step explanation:

One is the starting term

1, 2, 4, 8, 16, 32, 64, 128, 256,

Answer:

77.43

Step-by-step explanation:

Answer:

77.43 people were canda

Step-by-step explanation:

To find 8.9% of 870, we first turn 8.9% into a decimal. We can do this by shifting the decimal point two places to the left. This gives us 0.089. Now, we multiply this decimal by 870. Our product, 77.43, is our final answer.

Answer:

j(x)=a(x+9)(x-2)

j(x)=1(x+9)(x-2) < final answer

Answer:

B

Step-by-step explanation:

Firstly, we will take a look at the equation and the options listed to choose from.

Secondly, we notice these options are reffering to rational and irrational numbers.

A rational number is a number that can be expressed in a ratio of 2 integers. (Form example whole numbers such as 1 (1/1), 2(2/1) 5(5/1, 10/2) and even decimals like 3.75 (375/100) or (750/200) etc.

As for irrational numbers, these can NOT be simplified between a ratio 2 integers. For example the question states 3 multiplied by the square root of 5. The square root of 5 is 2.2360679... multiplied by 3 we get 6.7082..... Numbers such as those can go on for infinity and can not be simplified as integers therefore they are irrational numbers.

.............................................................................................................

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.D is false because if the product is 6.708 it can not be the square root of 15 (3.872)

B. It is an irrational number because the product of the side lengths is [tex]3\sqrt{5}[/tex], an irrational number.

According to this question, we know the lengths of the two sides of the rectangle, the length of a side is an positive integer and the length of the other one is an positive irrational number. The area of the rectangle is the product of the two sides lengths mentioned above.

By algebra, we know that the product between an integer and an irrational number leads to other irrational number. Therefore, the area of the rectangle is represented by an irrational number.

[tex]A = (3)\cdot \sqrt{5}[/tex]

[tex]A = 3\sqrt{5}[/tex]

Hence, the right answer is B.

We kindly invite you to check this question on irrational numbers: https://brainly.com/question/528650

Answer:

The answer is 412.2 cubic centimeters

Step-by-step explanation:

412.2

Answer:

y = x + 15

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.

Plug this value (1) into your standard point-slope equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.

10 = (-5) + b

Simplify.

10 = -5 + b

Now, add 5 to both sides to isolate b.

15 = b

Plug this into your standard equation.

y = x + 15

This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)

Hope this helps!

Answer:

C

Step-by-step explanation:

there are 4 of the exact same line going in 4 directions

Answer:

the question is worded incorrectly, but I believe the answer is 8566.

Step-by-step explanation:

Answer:

You are correct the tax would be that

Step-by-step explanation:

Answer:

tsc = 8*1*10 = $80

twc = 8*20*0.0667*12 = $128.06

tc = 80 + 128.06 = $208.06

Step-by-step explanation:

To find the total expected costs for an 8 hour period, first you must find the total service costs (tsc) and the total waiting costs (twc) as the two costs are what make up the total cost (tc).

Total service cost = (the number of channels)(cost per channel)

tsc = m*Cs

There is only 1 employee so the number of channels is 1.

The cost for this channel is $10 per hour, so 10 * 8 hours in the day.

Total waiting cost = (total time spent waiting by all arrivals)(cost of waiting)

twc = (number of arrivals)(average wait per arrival) Cw

The number arrivals is at the rate of 20 per hour.

The average wait per arrival was found as Wq previously.

                 Wq = 20/(30*(30-20)) = 0.0667 hours

The cost of waiting (Cw) is the $12 per hour multiplied by the 8 hour day.

Total Expected Cost for an 8 hour day is the sum of the total service cost plus the total waiting cost.

The comparison is that:

4/3 is greater than 7/6 and 7/6 is less than 4/3

The fractions are given as:

4/3 and 7/6

See attachment for the number line that represents both fractions

From the number line. 4/3 is at the right of 7/6

This means that:

4/3 is greater than 7/6 and 7/6 is less than 4/3

Read more about number lines at:

https://brainly.com/question/10851163

Answer:

16x3= 48 so the answer is 48m^2

Answer:

C(n) = 200 + 2n

Step-by-step explanation:

Given:

Fixed cost state by printing company = $200

Variable charges per book print = $2

Find:

Cost function of number of books print

Computation:

Assume:

Number of books printed = n

Total cost of n books printed = Fixed cost state by printing company + Variable charges per book print[Number of books printed]

C(n) = 200 + 2n

Where n = number of book

C = Total cost

Jaleel's total cost as a function of the number of books he print is [tex]c = 2n + 200[/tex]  (in dollars)

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.

If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions or equations.

For the considered case, we don't know exactly how many books will Jaleel gets printed. So we can use variable here.

Let we have:

Then, as stated in the problem, for each book there is $2 price, and there is a fixed one-time charge of $200

Thus, we get total cost as:

c = Cost for n books + Fixed one-time cost.

(we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Thus, total cost is written as:

c = Cost for n books + Fixed one-time cost.

c = 2n + 200 (in dollars)

Learn more about forming equations here:
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Answer:

543

Step-by-step explanation:

Answer:

109

Step-by-step explanation:

Hope this helped :)

Answer: The answer is 48 degrees hope this helped

Step-by-step explanation:

Answer:

14- 1/5

15- 9/20

16- 11/20

Step-by-step explanation:

Answer:

ok if u say so

Step-by-step explanation:

Answer: 2/3

Step-by-step explanation:

Rise over run shows it on average goes up 2 and over 3. 2 on top for rise, 3 on bottom for run. Hope it helps! Don't click on shady links