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3 years ago

The circumference of a circle is 3π in.

Mathematics

1 answer:

11111nata11111 [884]3 years ago

6 0

Answer:

2.25π in²

Step-by-step explanation:

The area can be found from the circumference using the formula ...

A = C²/(4π)

Putting in the given dimension, you have ...

A = (3π)²/(4π) = (9/4)π = 2.25 π . . . . in²

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Write the equation of the line that passes through the points (-6,1) and (-2,5). Put your answer in fully reduced point-slope fo

irinina [24]

(-6,1)
(-2,5)

Slope:-

$\\ \sf\longmapsto m=\dfrac{5-1}{-2+6}=\dfrac{4}{4}=1$

Point-Slope form

$\\ \sf\longmapsto y-y_1=m(x-x_1)$

$\\ \sf\longmapsto y-1=1(x+6)$

$\\ \sf\longmapsto y-1=x+6$

$\\ \sf\longmapsto x-y+7=0$

3 0

2 years ago

Find the derivative of

kirill [66]

Answer:

$\displaystyle y'(1, \frac{3}{2}) = -3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Functions
Function Notation
Terms/Coefficients
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$\displaystyle y = \frac{3}{2x^2}$

$\displaystyle \text{Point} \ (1, \frac{3}{2})$

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Rewrite]: $\displaystyle y = \frac{3}{2}x^{-2}$
Basic Power Rule: $\displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}$
Simplify: $\displaystyle y' = -3x^{-3}$
Rewrite [Exponential Rule - Rewrite]: $\displaystyle y' = \frac{-3}{x^3}$

Step 3: Solve

Substitute in coordinate [Derivative]: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}$
Evaluate exponents: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}$
Divide: $\displaystyle y'(1, \frac{3}{2}) = -3$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

6 0

2 years ago

Help with 6 a and b please

34kurt

Answer:

a) $y=\frac{50}{x}$

b) $y=25$ when $x=2$

Step-by-step explanation:

$y=\frac{k}{x}$ since y varies inversely with x.

We need to find the constant, k.

Let's use a point (x,y) on the curve.

We are given an (x,y)=(5,10):

$10=\frac{k}{5}$

Multiply both sides by 5:

$10(5)=k$

$50=k$ .

So the equation is:

$y=\frac{50}{x}$

What is y when x=2?

$y=\frac{50}{2}$

$y=25$

8 0

3 years ago

Which expression is equivalent to (7-8) (78)?

Gre4nikov [31]

-78

Step-by-step explanation:

(7-8)(78)

(-1)(78)=-78

8 0

2 years ago

Carla is renting a canoe. It’s cost $80 for 2 hours and $160 for 4 hours. What is the rate per hour?

patriot [66]

Carla is renting a canoe. It’s cost $80 for 2 hours and $160 for 4 hours. What is the rate per hour?

If we want to get a full understanding of this question we must use the information given.

If renting the canoe cost $80 per 2 hours, to get 1 hour we must divide $80 by 2.

 $\frac{80}{2}=40$

or $40

We can also use $160 and 4 hours

$\frac{160}{4}=40$

or $40

So the rate per hour is $40

8 0

3 years ago

Read 2 more answers