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3 years ago

Help me please I don’t get it

Mathematics

2 answers:

gladu [14]3 years ago

8 0

Hey there! so the point is to try and figure out how many combinations of 2 letters exist. one way to accomplish this is to make a list. I would start with h. So your list for h would be (h,h) (h,o) (h,p) (h,e) then move on to your next letter. hope this helps!

svet-max [94.6K]3 years ago

4 0

The answer to B is: HP, HE, H and O, HH, OO, EE, PP, PE, PO, and EO

the answer to a would be 10

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Simple Interest:<br><br>54000 x 0.038 x (3/12) = <br> I don't know what I'm doing wrong

kirill115 [55]

The simple interest rate equation is I = Prt
I = interest
P = principle ($54,000)
r = rate (3.875%)
t = time (3 months, so .25 years)

I = Prt
I = (54,000)*(.03875)*(.25)
I = $523.125

8 0

3 years ago

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Given g(x)=-2x-1g(x)=−2x−1, find g(-4)g(−4)

nydimaria [60]

Answer:

Step-by-step explanation:

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3 years ago

Evaluate the following integral using trigonometric substitution

serg [7]

Answer:

The result of the integral is:

$\arcsin{(\frac{x}{3})} + C$

Step-by-step explanation:

We are given the following integral:

$\int \frac{dx}{\sqrt{9-x^2}}$

Trigonometric substitution:

We have the term in the following format: $a^2 - x^2$ , in which a = 3.

In this case, the substitution is given by:

$x = a\sin{\theta}$

$dx = a\cos{\theta}d\theta$

In this question:

$a = 3$

$x = 3\sin{\theta}$

$dx = 3\cos{\theta}d\theta$

$\int \frac{3\cos{\theta}d\theta}{\sqrt{9-(3\sin{\theta})^2}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9 - 9\sin^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{\theta})}}$

We have the following trigonometric identity:

$\sin^{2}{\theta} + \cos^{2}{\theta} = 1$

$1 - \sin^{2}{\theta} = \cos^{2}{\theta}$

Replacing into the integral:

$\int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{2}{\theta})}} = \int{\frac{3\cos{\theta}d\theta}{\sqrt{9\cos^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{3\cos{\theta}} = \int d\theta = \theta + C$

Coming back to x:

We have that:

$x = 3\sin{\theta}$

$\sin{\theta} = \frac{x}{3}$

Applying the arcsine(inverse sine) function to both sides, we get that:

$\theta = \arcsin{(\frac{x}{3})}$

The result of the integral is:

$\arcsin{(\frac{x}{3})} + C$

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3 years ago

8 ounces = 1 cup

Inga [223]

Answer:

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Traveling at 65 miles/hour, how many feet can you travel in 22 minutes? How do you know?

tresset_1 [31]

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3 years ago

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