Rewrite the formula for the circumference of a circle C=2 /pi r in terms of its diameter d.Show your work please

Answers

Answer 1

Answer: If C=2πr, it would also mean C=πd.

Answer 2

Answer:

Final answer:

The formula for the circumference of a circle can be rewritten in terms of its diameter by replacing the '2r' with 'd', given that the diameter is twice the radius. This yields the new formula: C = πd.

Explanation:

The original formula for the circumference of a circle is C = 2πr, where 'C' represents the circumference, 'π' is a mathematical constant approximately equal to 3.14, and 'r' is the radius of the circle.

To rewrite this formula in terms of the diameter, we need to know the fundamental relationship between the radius and the diameter of a circle. In every circle, the diameter 'd' is simply twice the radius: d = 2r.
Substituting this into the original formula, we replace the '2r' in 'C = 2πr' with 'd'. This gives us the new formula: C = πd.

So, the formula for the circumference of a circle in terms of its diameter is C = πd.

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Suppose P(A) = 0.9, P(B) = 0.3, and P(B|A) = 0.2. What is P(A|B) ?

Answers

By definition of conditional probability,

$P(B\mid A)=(P(B\cap A))/(P(A))\implies P(B\cap A)=0.2\cdot0.9=0.18$

Similarly,

$P(A\mid B)=(P(A\cap B))/(P(B))=(0.18)/(0.3)=0.6$

Which strategy would you use to find 2+8? Explain how u decide?

Answers

I added because the plus sign tells us to add. Adding is when you do 8 plus 2 more numbers which equals 10.

Hope I Helped You!!!

Well, u could count on your fingers. 2 fingers plus 8 fingers is 10 fingers. so u get 10.

Let f(x)=2x+2. Solve f^-1(x) when x=4

Answers

f⁻¹(x) stands for the invers of function f(x). The inverse of f(x) is equal to x. We need to solve for x.

solve for x
f(x) = 2x + 2
2x + 2 = f(x)
2x = f(x) - 2
x = $(f(x)-2)/(2)$
f⁻¹(x) = $(x-2)/(2)$

Determine the value of f⁻¹(x) when x = 4
f⁻¹(x) = $(x-2)/(2)$
f⁻¹(4) = $(4-2)/(2)$
f⁻¹(4) = $(2)/(2)$
f⁻¹(4) = 1
When x = 4, the value of f⁻¹(x) is equal to 1

What is the slope of the line plotted below? (5 points)

Answers

Answer:

1/-3

Step-by-step explanation:

Slope= y2-y1/x2-x1

Your two points are (1,3) and (-2,4)

(4-3)/(-2-1)=1/-3

Slope= 1/-3

Answer:

m= -1/3

Step-by-step explanation:

Use the slope formula to find the slope m. But first find the points.

Jake sold 39 tickets to the the school fair and Jeanie sold 12 tickets. What is the ratio in the simplest for of the number of tickets Jeanne sold to the number of tickets Jake sold?a. 13/4
b.39/12
c.12/39
d.4/13

sorry if I am asking so many questions

Answers

$(number\ of\ tickets\ Janne)/(number\ of\ tickets\ Jake)=(12)/(39)=(12:3)/(39:3)=(4)/(13)\n\nAnswer:\boxed{D.\ (4)/(13)}$

jake:Jeanie
39:12
39=3*13
12=3*2*2
so (3*13)/(3*2*2)
we can factor out the 3/3 or 1
so 13/4
jake:Jeanie is 13/4

Manny ran 562.5 meters and his brother ran 75 fewer meters.How many centimeters did Manny's brother run?

Answers

Mannys brother ran 487.5 meters. 487.5 meters= 48750 centimeters

he ran 48750 centimeters ♥

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