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Len [333]
3 years ago
15

Will someone help me with problem 21?

Mathematics
1 answer:
Juliette [100K]3 years ago
6 0
Sin^(1/2) x cos x - sin^(5/2) cos x
= sin^(1/2) x cos x - sin(1/2)x sin^2 x cos x
factoring we get:
cos x sin^(1/2) x ( 1 - sin^2 x)
Now 1 - sin^2 x = cos^2 x so we have

cos x sin^(1/2) x * cos^2 x

= cos^3 x sqrt sin x
You might be interested in
Number pattern 5, 7.5, 11.25, 16.875
stepladder [879]
Not sure what you are asking but if you are looking for the next 3 numbers then multiply 5 by 1.5, 7.5 by 1.5, and 11.25 by 1.5
5 * 1.5 = 7.5
7.5 * 1.5 = 11.25
11.25 * 1.5 = 16.875
16.875 * 1.5 = 25.3125
25.3125 * 1.5 = 37.96875
37.96875 * 1.5 = 56.953125 
5 0
3 years ago
Read 2 more answers
In a gambling game, you roll 2 die and if you toss 2 sixes, you win $100, otherwise you lose $5.
Natalka [10]

Answer:

a. \frac{1}{36} chance you win.

b. The expected value of the game is -$2.08.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

You roll 2 die and if you toss 2 sixes

For each roll, 6 possible values, 1 of which is 6. So the probability of rolling two sixes is:

p = (\frac{1}{6})^2 = \frac{1}{36}

a. What is the chance you win?

\frac{1}{36} chance you win.

b. What is the expected value of the game?

1/36 probability of winning 100.

35/36 probability of losing 5. So

E = \frac{1}{36}*100 - \frac{35}{36}*5 = \frac{100 - 175}{36} = -\frac{75}{36} = -2.08

The expected value of the game is -$2.08.

7 0
3 years ago
K-2k=15+1+6k-2 help me
sveticcg [70]
K - 2k = 15 + 1 + 6k - 2

-k = (15 + 1 - 2) + 6k

-k = 14 + 6k      |subtract 6k from both sides

-7k = 14    |divide both sides by (-7)

k = -2
6 0
3 years ago
Which product of prime polynomial a is equivalent to 8x^4+36x^3-72x^2
Tatiana [17]
Answer :

B. 4x²(2x-3)(x+6)


4x²(2x-3)(x+6)
4x²(2x²+12x-3x-18)
4x²(2x²+9x-18)
8x⁴+36x³-72x²

5 0
3 years ago
What is the equation of the line that passes through the point (-2,2) and has a slope of 5?
FinnZ [79.3K]

Answer:

y = 5x + 12

Step-by-step:

I will write the equation in the slope-intercept form: y = mx + b

y = y-coordinate

m= slope

x = x-coordinate

b = y-intercept

Part 1: Substitute the known values into the equation

1. Substitute:

2 = (5)(-2) + b

2. Simplify:

2 = -10 + b

Part 2: Solve for b

1. Get b by itself on one side:

2 + 10 = -10 + b + 10:

2 + 10 = b

2. Simplify:

12 = b

Part 3: Write the final equation for the line

y = 5x + 12

6 0
3 years ago
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