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3 years ago

Please help me :((((((((((((((((((((((((((

Mathematics

1 answer:

Rainbow [258]3 years ago

5 0

Step-by-step explanation:

x = 51.5

I'm am not sure about it since in the case it is not given that how much miles he walk in total so.

I just added the no. of miles he walk in part A and B so I got x = 51.5

hope this answer helps you dear...take care and stay safe!

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Simplify the expression 3^7/3^5

Setler79 [48]

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3 years ago

Given f(x) = log x and g(x) = -x + 1, which is the graph of (fºg)(x)?

ss7ja [257]

Answer:

(f • g)(x) = log (-x + 1)

Step-by-step explanation:

Here is a composite function

What we simply have to do here is to make a substitution

the substitution we are going to make is that we will substitute the value of x in f(x) with the entirety of g(x)

This simply mean that we replace every x we find in f(x) with the entire equation of g(x)

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3 years ago

What is not a composite number out of 2 4 6 8

sattari [20]

Answer:

Step-by-step explanation:

2 has the factors 2 and 1 while the others have:

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6- 6, 3, 2, 1

8- 8, 4, 2, 1

3 0

3 years ago

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). Sketch the curves.

raketka [301]

Answer:

3√3

Step-by-step explanation:

r = 3 cos θ

r = 2 - cos θ

First, find the intersections.

3 cos θ = 2 - cos θ

4 cos θ = 2

cos θ = 1/2

θ = -π/3, π/3

We want the area inside the first curve and outside the second curve. So R = 3 cos θ and r = 2 - cos θ, such that R > r.

Now that we have the limits, we can integrate.

A = ∫ ½ (R² - r²) dθ

A = ∫ ½ ((3 cos θ)² - (2 - cos θ)²) dθ

A = ∫ ½ (9 cos² θ - (4 - 4 cos θ + cos² θ)) dθ

A = ∫ ½ (9 cos² θ - 4 + 4 cos θ - cos² θ) dθ

A = ∫ ½ (8 cos² θ + 4 cos θ - 4) dθ

A = ∫ (4 cos² θ + 2 cos θ - 2) dθ

Using power reduction formula:

A = ∫ (2 + 2 cos(2θ) + 2 cos θ - 2) dθ

A = ∫ (2 cos(2θ) + 2 cos θ) dθ

Integrating:

A = (sin (2θ) + 2 sin θ) |-π/3 to π/3

A = (sin (2π/3) + 2 sin(π/3)) - (sin (-2π/3) + 2 sin(-π/3))

A = (½√3 + √3) - (-½√3 - √3)

A = 1.5√3 - (-1.5√3)

A = 3√3

The area inside of r = 3 cos θ and outside of r = 2 - cos θ is 3√3.

The graph of the curves is:

desmos.com/calculator/541zniwefe

5 0

3 years ago

Can someone help me solve this? Thank you!

fgiga [73]

Answer:

y=65/100x + 2.5

Step-by-step explanation:

hope it is correct (did it really fast) and hope it helps

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3 years ago