Evaluate and simplify the following complex fraction.

Answer:

14.40

Step-by-step explanation:

100%-> 18

100-20=80

80%-> 14.40

Answer: 339.29ft^3

Step-by-step explanation:

The formula for a cylinder is πr^2h

In your scenario, r=8 and h=3 so put those into the equation -

π8^2(3) and just solve!

Answer:

It would take 12.1 years.

Step-by-step explanation:

We are given with $3000 invested in bank pays 6.75% interest compounded semi annually to the nearest 10th. We are asked to find the number of years the bank reaches $6700.

Let's use the compound interest formula.

[tex]A= P(1+\frac{r}{n}) ^{nt}[/tex]

We know A=6700

P=3000

r =0.0675

n=2(because compounded semiannually)

t =?( we need to find it)

Plug in the known values into the formula.

[tex]6700=3000(1+\frac{0.0675}{2}) ^{2*t}[/tex]

Simplify and solve for 't'

Divide both sides by 3000

[tex]2.23333= (1.03375)^{2t}[/tex]

Take log on both sides

[tex]log(2.23333) = 2t log(1.03375)[/tex]

Divide both sides by log(1.03375)

24.2067=2t

Divide both sides by 2.

t=12.10...

To round to nearest 10th, we get t=12.1 years.

Answer:

srry i need the points so i can go to sleep because i have to fish my work

Step-by-step explanation:

Answer: 75 hours

Step-by-step explanation:

Assuming you meant decreasing... you find out the span between 212.5 and 25 which is 187.5 and then divide it by 2.5 (which is the change)

The robot does not meet both of Fernando's expectations.

A represents the number of minutes the robot filters air.

W represents the number of minutes the robot filters water.

Inequality is a statement stating two expressions are not equal.

Expectation 1:

21A + 14W > 512

Given A=15 minutes

W=5 minutes

So, 21A + 14W =21*15 +14*5 =370

370<512

So, the robot does not meet Fernando's first expectation.

Expectation 2:

0.36 A + 0.6W < 9

A=15 minutes

W=5 minutes

So, 0.36 A + 0.6W =0.36*15+0.6*5 = 8.4

8.4<9

So, the robot meets Fernando's second expectation.

Hence, the robot does not meet both of Fernando's expectations.

To get more about inequalities visit:

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Answer:

Step-by-step explanation:

4+3+5= 12 marbles

3/12 * 2/11 = 6/132 = 4.5%

Answer:

f(3)=12 should be the answer

Step-by-step explanation:

replace x with 3 and solve

Answer:

29

Step-by-step explanation:

20^2 times 3.14= 1256

21^2 times 3.14= 1384.74

the sum of those two is 2640.74

the square root of that is 29

The radius of the circle is 29 cm.

We have the circle whose area is equal to the sum of the areas of two circles whose radii are 20cm & 21cm.

We have to find the radius of the circle.

Let the radius of the circle be x.

We know that the area of the circle is [tex]\pi r^{2}[/tex]. Then -

[tex]\pi x^{2} =\pi r^{2} +\pi R^{2} \\x=\sqrt{r^{2} + R^{2}} \\[/tex]

Now, in the question given to us -

r = 20cm  and R = 21cm  and 'x' denotes the radius of the circle we have to find.

Substituting the values in the above formula, we get -

x = [tex]\sqrt{400+441}[/tex]

x =29 cm

Hence, the radius of the circle is 29 cm.

To solve more problems on finding the area of circle, visit the link below -

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Step-by-step explanation:

given

900m = 2.700

m = 2.700 / 900

m = 0.003

Hope it will help :)

Answer:

D. to test whether a graph represents a function

Step-by-step explanation:

The vertical line test is used to determine if a graph of a relationship is a function or not.If you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.

Answer:

D. to test whether a graph represents a function

Step-by-step explanation:

I got it right on my test

I hope this helps :)

Answer is 3

Step-by-step explanation:

first what you do is you rearrange the numbers so the eqaution is -2x+4=-2

SO what you do is (4) - 4 to cancel it out then you do the same thing on the other side so (-2)-4=-6 so the equation now is -2x=-6 then you divide -2 to cancel it out and you do the same thing -6 divide by -2 is 3 so the answer is 3

Answer:

All real numbers would be your solution to this question. <3

Step-by-step explanation:

Answer:

all real numbers are solution

Step-by-step explanation:

Answer:

Part b.

Step-by-step explanation:

Ok, so I think what you can do for part b. is pretty simple. You know that $820 is for 4 weeks of work. 820/4 = 205. So he gets $205 per week. If 820 = 100%, then 205*3 = 75%. So the answer would be he will recieve 75% of his usual pay, and that will be $615.

Answer:

Step-by-step explanation:

Answer:

BE congruent to AD

Step-by-step explanation:

not sure

Answer:

ba

Step-by-step explanation:

Answer:

add four to both sides of the equation

Step-by-step explanation:

x=4+4

x=8

Answer:

-11 for the first one and 0 for the second one

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

∠ AOB = 360° - 264° = 96°

The altitude OM bisects ∠ AOB and the base AB

(a)

∠ MOB = 0.5 × 96° = 48°

Using the cosine ratio in right triangle MOB

cos48° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{OM}{OB}[/tex] = [tex]\frac{18}{r}[/tex] ( OB is the radius r of the circle )

Multiply both sides by r

r × cos48° = 18 ( divide both sides by cos48° )

r = [tex]\frac{18}{cos48}[/tex] ≈ 27 cm ( to the nearest cm )

(b)

Using the tangent ratio in the right triangle MOB

tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{MB}{OM}[/tex] = [tex]\frac{MB}{18}[/tex] ( multiply both sides by 18 )

18 × tan48° = MB then

AB = 2 × MB = 2 × 18 × tan48° = 36 × tan48° ≈ 40 cm ( to nearest cm )

Answer:

8 units²

Step-by-step explanation:

The area (A) of the shaded part (right triangle ) is calculated as

A = [tex]\frac{1}{2}[/tex] × area of rectangle

   = 0,5 × 4 × 4 = 0.5 × 16 = 8 units²

Answer:

8 units ^2 are shaded

Step-by-step explanation:

The total area of the square is 4 * 4 = 16

1/2 of the square is shaded so

1/2 * 16 = 8

8 units ^2 are shaded

Answer:

275 52.2 there you go um im not sure how to help you on the show your work but i hope this helps

Answer: The lateral area of a right pyramid can be calculated by multiplying half of the perimeter of the base by the slant height. This is summarized by the formula: LA 5 Ps. We can relate this formula to the square pyramid below and its net. The side length of the base of the pyramid is b, and the slant height is s.

Answer is 53911

Step-by-step explanation:

Just multiply to get the answer

Answer:

The answer is 526.5

Step-by-step explanation:

First, I separated the shapes. Then, I found the area of each shape. The area of the triangle was 149.5, and the area of the rectangle was 377. Finally, I added them together and got 526.5.

HOPE THIS HELPED!!! PLEASE VOTE BRAINLIEST!!

Answer:

$10.80

Step-by-step explanation:

That’s the answer

Answer:

(7x-4)^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2

Answer:

Yea wut she said ._. above me...

Step-by-step explanation:

Answer:

p=19

Step-by-step explanation:

since the instructions say that ([tex]x^{13}[/tex])([tex]x^{6}[/tex]) is equivalent to [tex]x^{p}[/tex], we can make the equation:

([tex]x^{13}[/tex])([tex]x^{6}[/tex])=[tex]x^{p}[/tex]

now, apply the laws of exponents; [tex]a^{m} * a^{n} =a^{m+n}[/tex]

in that case, since we're multiplying x to the 13th power by x to the 6th, the result is [tex]x^{13+6}[/tex], which is [tex]x^{19}[/tex]

the equation now:

[tex]x^{19}[/tex]=[tex]x^{p}[/tex]

since the exponents are at the same base, we can solve the equation

19=p

so p is 19

hope this helps :)

Answer:

i believe is is 3/2

Step-by-step explanation:

as y goes up 30 x goes over 20

30/20 simplified is 3/2

Answer: slope = 3/2

brainliest plz

Step-by-step explanation:

Step-by-step explanation:

it says two less which means that you would be subtracting 2 from 3 and a number wich is 3x - 2

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The expression that represents the statement

“two less than the product of three and a number” is

3M - 2.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x - 4 + 5 is an expression.

3x = 5 + 4 is an expression.

We have,

“two less than the product of three and a number”

Let the number be = M

This can be written as,

3 x M - 2

= 3M - 2

Thus,

The expression that represents the statement

“two less than the product of three and a number” is

3M - 2.

Learn more about expressions here:

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Answer:

should be 2 excluding the start (origin)

Step-by-step explanation: