How to compute the area of a circle


Answer 1


A = \pi r^2

Step-by-step explanation:

Area of a circle =

\pi * r^2\n\n=\pi r^2

Area of a circle can also be calculated with ;

1. Using Radius to Find Area

2. Calculating Area from the Diameter

3. Using Circumference to Calculate Area

4. Finding Area from a Sector of the circle.

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Given m || n, find the value of x and y.(3x-4)(6x-5)
Which of the following is an example of inductive reasoning? A. The first eight marbles that Dexter has drawn from a bag containing red and blue marbles have been red. Dexter concludes that the next marble he draws will be red. B. Jacob knows that in order to get a half-hour lunch break, his work shift must be at least six hours. Jacob concludes that since he is scheduled to get a half-hour lunch break, then his work shift must be at least six hours. C. Alicia knows that in order for someone to be in band, they have to know how to play an instrument. Mindy is in band. Alicia concludes that Mindy must know how to play an instrument. D. Stewart uses the basketball rule book to determine that one point is awarded for each free throw that a player makes.
Suppose that two cards are randomly selected from a standard​ 52-card deck. ​(a) What is the probability that the first card is a clubclub and the second card is a clubclub if the sampling is done without​ replacement? ​(b) What is the probability that the first card is a clubclub and the second card is a clubclub if the sampling is done with​ replacement?

The expression 9/2 = 3 is the same asА
9/2 x3
9/2 x 3/2
9/2 x 1/3
2/9 = 3


The answer is C 9/2 x 1/3

Find the general solution of the following equation. Express the solution explicitly as a function of the independent variable. x^2 dw/dx = √ w(2x+5)



Therefore the general solution is

2 \sqrt w = 2 ln(x) - 5 \frac1x +c

Step-by-step explanation:

Integration Rule:

  1. \int x^n dx= (x^(n+1))/(n+1)+c
  2. \int \frac1x dx= ln(x) +c

Given differential equation is

x^2 (dw)/(dx)= √(w)(2x+5)

\Rightarrow x^2 dw= √(w) (2x+5) dx    [ multiplying dx both sides]

\Rightarrow (dw)/(\sqrt w)= ((2x+5))/(x^2) dx                [ dividing x^2\sqrt w both sides]

Integrating both sides

\int (dw)/(\sqrt w)=\int ((2x+5))/(x^2) dx

\Rightarrow \int w^(-\frac12) dw=\int ((2x)/(x^2)+(5)/(x^2) )dx

\Rightarrow \int w^(-\frac12) dw=\int (2)/(x)dx +\int(5)/(x^2) dx

\Rightarrow (w^(-\frac12+1))/(-\frac12+1) =2ln x+5 (x^(-2+1))/(-2+1)+c   [ c is arbitrary constant]

\Rightarrow 2 \sqrt w = 2 ln(x) - 5 \frac1x +c

Therefore the general solution is

2 \sqrt w = 2 ln(x) - 5 \frac1x +c

I don’t know what answer to put for increasing and decreasing.



Increasing: (2, ∞) Decreasing: (-∞,2)

Step-by-step explanation:

Think of the parabola (just for visualization purposes) as the direction of a rubber ball being thrown from above. The ball starts to decrease in position, eventually hitting the ground, and then starts to increase back to the orginal height and beyond.

So, because parabolas extend infinitely in both the positive and negative direction, we can use intervals to express the parts of the graph where it increases and decreased.

The minimum value point, or vertex is the point where the parabola changes direction. The vertex is visibly at (2,-4). So, the interval for decreasing would be (-∞,2) and increasing would be (2,∞)

Note: We use the symbol "[" to indicate that a value is included in the interval.

Because infinity is a concept and not a number, we have to use the non-inclusive version of it: "(" (simple parentheses) to indicate that infinity is NOT included in the interval, but it simply keeps extending in both directions.

I hope this helps you out.

Find the constant of proportionality (unit rate) for each set of valuesprofit per shirt sold
shirts: 5 10 15
profit: $7.50 $15.00 22.50




Step-by-step explanation:

To find the unit rate, we can divide the number of shirts to the profit that was made to find the unit cost per shirt.

7.50 / 5 = $1.50

15 / 10 = $1.50

22.50 / 15 = $1.50

Best of Luck!

Answer: 1.5

Step-by-step explanation:

7.50/5 = 1.5

15/10 = 1.5

22.50/15 = 1.5

Need answer now in 10 min!!!



40 deg

Step-by-step explanation:

The vertical sides of the rectangle are parallel, so the triangle is a right triangle.

The triangle is a right triangle, so the acute angles are complementary.

The bottom right angle of the triangle measures 90 - 50 = 40 deg.

The bottom line and the top side of the rectangle are parallel, so corresponding angles are congruent. x and the 40-deg angle are corresponding angles, so they are congruent.

x = 40 deg.

Hello, there are three questions and pictures of them in the links If you could solve them that would be awesome, thank you!



1.  1 * x^(3/6) = x^(3/6) (it will be equal to the sixth root of x cube)

2.  No, the expression x^(3) X x^(3) X x^(3) will be equal to x^(3 + 3 + 3 ) since the powers of      numbers with the same base are added

3. B and D   1/x^(-1) is the same as 'x'

as mentioned in the last answer, powers of numbers with same base are added. hence, option D will be x^(3/3) which will be equal to x