An engineer is planning a new water pipe installation. The circular pipe has a diameter of d = 20 centimeters. What is the area (A) of the circular cross section of this pipe?
║Give your answer in terms of ⫪║

Given:

The expression is

[tex]\dfrac{10^0r^{-11}s}{3^2}[/tex]

To find:

The simplified answer using only positive exponents.

Solution:

We have,

[tex]\dfrac{10^0r^{-11}s}{3^2}[/tex]

[tex]=\dfrac{(1)r^{-11}s}{9}[/tex]

[tex]=\dfrac{r^{-11}s}{9}[/tex]

Using properties of exponents, we get

[tex]=\dfrac{s}{9r^{11}}[/tex]            [tex]\left[\because a^{-n}=\dfrac{1}{a^n}\right][/tex]

Therefore, the required answer is [tex]\dfrac{s}{9r^{11}}[/tex].

The required simplified value is [tex]\frac{s}{9r^{11}}[/tex]

Exponent: Exponent is defined as the method of expressing large numbers in terms of powers.

The given expression is,

[tex]10^0r^{-11}\frac{s}{3^2}[/tex]

The given expression can be simplified as,

[tex]10^0r^{-11}\frac{s}{3^2} =1\times r^{-11}\frac{s}{9} \\=\frac{s}{9r^{11}}[/tex]

So, the simplified value of the given expression is,

[tex]\frac{s}{9r^{11}}[/tex]

Learn more information about Exponent: https://brainly.com/question/8008182

Answer:

$1.05

Step-by-step explanation:

3% of 35 = 0.03 × 35 = 1.05

Answer:

2 and 3/4 cm

Step-by-step explanation:    2 and 3/4 cm x 3 and 1/2 cm = the answer

Answer:

6 years

Step-by-step explanation:

8$ per year $48 divided by $8=6

Answer:

6 years

Step-by-step explanation:

$8 per year $48 ÷ $8 = 6 years  

Answer:

Top picture: 1/3

middle picture: 1

bottom picture: 1/2

Step-by-step explanation:

rise over run

Answer:

the answer is 4+(2x3)^2

Answer:

q=0.5 or 1/2

Step-by-step explanation:

5q-21/14=1

add 21/14 to both sides

5q=2.5

divide both sides by 5

q=0.5 or 1/2

Answer:

A Between 1.43 in. and 1.47 in.

Step-by-step explanation:

If the circumference is between 9 and 9.25 inches, and we know that circumference equals 2 * pi * radius, we can solve to find that the radius equals the circumference divided by 2pi. So we get between 1.43 in and 1.47in

Answer:

69

Step-by-step explanation:

m1 = 180 - (180 - 39 - 30) = 180 - 111 = 69

Answer:

20 over 4 llllllllll

Answer:

6x + 3y = 3

I hope that this helps

Answer:

5x-16y=12

Step-by-step explanation:

Ax+By=C

FIND the LCD (6)

MULITPLY BOTH SIDES BY 6

6(8/3Y)=6(5/6X-2)

Answer:

-10,-9

Step-by-step explanation:

Answer:

We know that the factors of the number 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90. Now, to find the sum of the factors, add all the numbers, you will get a total of 234.

Step-by-step explanation:

Answer:

m<1=117

m<2=99

Step-by-step explanation:

Answer:

Angle 1 is 117 degrees.

Angle 2 is 59 degrees.

Step-by-step explanation:

Let angle 1 be x, and angle 2 be y.

By the exterior angle theorem, x + 21 = 138, so x = 138 - 21 = 117.

Again, by the exterior angle theorem, 79 + y = x = 138, so y = 138 - 79 = 59.

Answer:

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

Step-by-step explanation:

Answer

30/6

Step-by-step explanation:

you need to multiply 15 x 2 and 3 x 2 because 2 is your least common denominator and 2/2 is 1

sorry if that didn't make any sense

Answer: x = 4

Step-by-step explanation:

Distribute the 3 and the 9

[tex]3(x+2)=9(6-x)\\3x+6=54-9x[/tex]

Add 9x to both sides

[tex]12x+6=54[/tex]

Subtract 6 on both sides and simplify

[tex]12x = 48\\x=4[/tex]

Answer:

x=4

Step-by-step explanation:

3 (x+2) = 9 (6-x)

3x + 6 = 54 - 9x

     -6  =  -6

3x = 48 - 9x

+9x        +9x

12x = 48

/12     /12

x = 4

Answer:

Too many answers could be correct

Step-by-step explanation:

This one is hard because it will depend on what numbers you pick for each measurement.

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if a = 1, b = 2, c = 3, d = 4, and e = 5

find the volume for all the shapes

The post

V = lwh = (1)(1)(2) = 2

The bottom of the mailbox

V = lwh = (3)(4)(5) = 60

The top of the mailbox

V = πr²h = (3)(5)π = 15π = 48.2

Then add them all together:

2 + 60 + 48.2 = 110.2 is the total Volume

Answer:

9.354

Step-by-step explanation:

Answer:

They aren't equivalent because when using P.E.M.D.A.S you solve what is in the parenthesis first. After you solve what is in the parenthesis the two expressions are completely different.  

Step-by-step explanation:

100/(5)=20    (4)/5= .8

The requried results of the two expressions are different (20 and 0.8), the expressions are not equivalent.

Expression 1:
100 ÷ (25 ÷ 5)

Evaluate the expression inside the parentheses.

25 ÷ 5 = 5

Replace the expression inside the parentheses with its result:

100 ÷ 5

Perform the division:

100 ÷ 5 = 20

So, the result of Expression 1 is 20.

Expression 2:
(100 ÷ 25) ÷ 5

Evaluate the expression inside the first set of parentheses.

100 ÷ 25 = 4

Replace the expression inside the first set of parentheses with its result:

4 ÷ 5

Perform the division:

4 ÷ 5 = 0.8

So, the result of Expression 2 is 0.8.

Since the results of the two expressions are different (20 and 0.8), the expressions are not equivalent.

The reason why they are not equivalent is due to the order of operations. In Expression 1, we first divide 25 by 5 and then divide 100 by the result, while in Expression 2, we first divide 100 by 25 and then divide the result by 5.

Learn more about division here:

https://brainly.com/question/1296833

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Answer:

Select the third answer listed which states: 6/5 * 9/4

Step-by-step explanation:

To find how many of a quantity x are in another quantity y, we normally divide in the following fashion:

y divided by x = y ÷ x = y / x

Then we do the same here: 6/5 divided by 4/9  =  6/5 ÷ 4/9 = 6/5 * 9/4

(using the properties of division of fractions as equal to the product of the first one times the reciprocal of the second one)

Answer:

3rd one

Step-by-step explanation:

Answer: the bracelet should cost at least  $29

Step-by-step explanation:

Answer:

The answer is $8.50 I just took a quiz

Step-by-step explanation:

Answer:

Yes he is correct!!!!!!

One possible answer is 8H + 4L = 512

=======================================================

Explanation:

H and L are placeholders for positive whole numbers, or 0 could replace either variable.

1 high resolution photo takes up 8 mb of space, so H of them take up 8H megabytes of space.

1 low resolution photo takes up 4 mb of space, so L of them take up 4L megabytes.

Overall, the two types of photos take up 8H+4L megabytes, which is equal to 512 since that's the max capacity. That leads to the equation 8H+4L = 512

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Extra info:

There are other ways to express the equation 8H+4L = 512. We could divide each part by 4 to get 2H+L = 128, but I think this equation loses its descriptive quality in a way. We no longer can see that each high resolution photo takes up 8 megabytes (instead we might mistakenly think only 2 megabytes are used per high resolution photo). A similar mistake may happen with the low resolution photos also.

The equation 2H+L = 128 can be rearranged into L = -2H+128 when solving for L.

Answer:

Step-by-step explanation:

2z^2(3z^2 - 7z - 20)

2z^2(3z + 5)(z - 4)

Answer:

Step-by-step explanation:

20 percent

0.12

Answer:

A

Step-by-step explanation:

90 - 12b = - 3b + 63

- 12b + 3b = 63 - 90

- 9b = - 27

- b = - 27/9

-b = -3

b = 3

to find the measure of MQR:

-3*3 + 63 = 54°

to find the measure of LQR:

180 - 54 = 126° + 1 = 127°

====================================================

Work Shown:

Angles MQX and LQR are vertical angles, so they are equal to one another.

angle MQX = angle LQR

-4a+139 = 4a+123

-4a-4a = 123-139

-8a = -16

a = -16/(-8)

a = 2

Use this to find each angle

We get the same value 131 each time, so this confirms we have the correct value for 'a', and it confirms our answer for angle LQR.

Answer:

A. Yes

B. No

C. Yes

D. No

Step-by-step explanation:

A and C has an equivalent ratio.

B and D do not.

2:5 x2 = 4:10

Because if we multiply 2 on both the 2 cups of fruit juice and the 5 cups of water we'll get

4:10 which is the ratio of A

If we divide both the 2 cups of fruit juice and the 5 cups of water with 2 we'll get...

2 ÷ 2 = 1

5 ÷ 2 = 2.5

1:2.5 is the ratio for C.

So both C and A are correct

The rest, B and D, are not equivalent.

Question 13. 3/5

Question 14. Option number 2- √(12xy)2

Have a beautiful day!

Answer:

first one x=4

second one x=3

Step-by-step explanation:

<3

Answer:

1. True

2. True

Step-by-step explanation:

So we are playing with variables here, lets look at 1.

5x + 9 = 29 if x = 4

This means that if x equals 4, would it make the equation true? Let's find out :

Substitute :

5(4) + 9 = 29

20 + 9 = 29

This is true, let's do the same for 2. :

7x - 8 = 13 if x = 3

7(3) - 8 = 13

21 - 8 = 13

This is also true.