What is the maximum r-value for the polar equation r = -3 + 5 sin theta <br> a.8 b. 5 c. 2 d. 3

How many different ways can a family visit Philadelphia, Baltimore, and Washington?

uysha [10]

Philadelphia Baltimore Washington
Philadelphia Washington Baltimore
Baltimore Philadelphia Washington
Baltimore Washington Philadelphia
Washington Baltimore Philadelphia
Washington Philadelphia Baltimore

Six different ways

5 0

3 years ago

Read 2 more answers

Can someone help me find the fa tor of (128m^2n^5 - 200m^4n^3)? <br>

Leona [35]

Answer:

$8m^2n^3$ , $4n-5m$ , and $4n+5m$

Step-by-step explanation:

$128m^2n^5-200m^4n^3$ <-- Given

$m^2(128n^5-200m^2n^3)$ <-- Factor out m²

$m^2n^3(128n^2-200m^2)$ <-- Factor out n³

$8m^2n^3(16n^2-25m^2)$ <-- Factor out 8

$8m^2n^3(4n-5m)(4n+5m)$ <-- Difference of Squares

Therefore, the factors are $8m^2n^3$ , $4n-5m$ , and $4n+5m$

3 0

3 years ago

Given f(x) =<br> + 2, find f(0)

horsena [70]

Answer:

B

Step-by-step explanation:

toookt the test dude

6 0

3 years ago

Please help ASAP! The terminal side of an angle θ in standard position passes through the point (2,-5). calculate the values of

Troyanec [42]

Answer:

$sin(x)=\frac{opp}{hyp}=\frac{5}{\sqrt{21}}=\frac{5\sqrt{21}}{21}\\cos(x)=\frac{adj}{hyp}=\frac{2}{\sqrt{21}}=\frac{2\sqrt{21}}{21}\\tan(x)=\frac{opp}{adj}=\frac{5}{2}\\csc(x)=\frac{hyp}{opp}=\frac{\sqrt{21}}{5}\\sec(x)=\frac{hyp}{adj}=\frac{\sqrt{21}}{2}\\cot(x)=\frac{adj}{opp}=\frac{2}{5}$

Step-by-step explanation:

Start by drawing out the triangle on the graph:

(See picture)

(By the drawing you can judge me that I am a really bad artist)

Theta and the side lengths are labeled, the hypotenuse has a length of √21 by Pythagora's theorem. Now, time to put everything to the trigonometric functions:

$sin(x)=\frac{opp}{hyp}=\frac{5}{\sqrt{21}}=\frac{5\sqrt{21}}{21}\\cos(x)=\frac{adj}{hyp}=\frac{2}{\sqrt{21}}=\frac{2\sqrt{21}}{21}\\tan(x)=\frac{opp}{adj}=\frac{5}{2}\\csc(x)=\frac{hyp}{opp}=\frac{\sqrt{21}}{5}\\sec(x)=\frac{hyp}{adj}=\frac{\sqrt{21}}{2}\\cot(x)=\frac{adj}{opp}=\frac{2}{5}$

(Suppose that x is theta as I can't type it)

By some basic understanding that's all that I can do.

3 0

2 years ago

Tony is flying from Los Angeles to Boston. His plane ticket costs $605 and the total flight distance is 3,052 miles. What is the

Ksivusya [100]

Answer:

AROUND $0.20 per mile

Step-by-step explanation:

605/3052 is around 0.198, which rounds to 0.20.

8 0

3 years ago

What is the maximum r-value for the polar equation r = -3 + 5 sin theta a.8 b. 5 c. 2 d. 3