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kvasek [131]
3 years ago
12

Curium-242 was synthesized by bombarding an isotope with alpha particles,. Which equation shows this reaction?

Mathematics
1 answer:
Vlad [161]3 years ago
4 0
B..............................
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Lowering powers write in terms of first power of cosine. Cos^6
yaroslaw [1]

The main identity you need is the double angle one for cosine:

\cos^2x=\dfrac{1+\cos2x}2

We get

\cos^6x=(\cos^2x)^3=\left(\dfrac{1+\cos2x}2\right)^3=\dfrac{(1+\cos2x)^3}8

Expand the numerator to apply the identity again:

\cos^6x=\dfrac{1+3\cos2x+3\cos^22x+\cos^32x}8

\cos^6x=\dfrac{1+3\cos2x+3\left(\frac{1+\cos2(2x)}2\right)+\cos2x\left(\frac{1+\cos2(2x)}2\right)}8

\cos^6x=\dfrac{1+3\cos2x+\frac32+\frac32\cos4x+\frac12\cos2x(1+\cos4x)}8

\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{16}\cos2x\cos4x

Finally, make use of the product identity for cosine:

\cos2x\cos4x=\dfrac{\cos6x+\cos2x}2

so that ultimately,

\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos2x+\dfrac1{32}\cos6x

\cos^6x=\dfrac5{16}+\dfrac{15}{32}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos6x

4 0
4 years ago
Wave Corporation began the current year with a retained earnings balance of $25,000. During the year, the company corrected an e
Hitman42 [59]

Answer:

$30,000.

Step-by-step explanation:

Wave Corporation began the current year with a retained earnings balance of $25,000.

Depreciation expense was of $5000

During the current year, the company earned net income of $15,000

Also gave cash dividends of $5,000.

So, year end retained earnings will be :

Year end retained balance = total net income minus net losses and dividends.

25000-5000+15000-5000=30000 dollars

The answer is $30,000.

7 0
3 years ago
The collection of all input values is the ___ of the function ?
hichkok12 [17]

Answer:

Domain

Step-by-step explanation:

Input Values Form the Domain of the Function

Mathematicians call the set of all input values for a function its domain.

3 0
3 years ago
Lucy was running a 10 mile race and the graph represents her running pace for the race. If the x-axis represents miles ran and t
Ostrovityanka [42]

Answer:

C

Step-by-step explanation:

The function multiplies by 8 so 6 would be 48 and 10 would be 80.

Have a great day!

4 0
3 years ago
What is the Value of:
RoseWind [281]
1/2^3 = 1/2 x 1/2 x 1/2 = 1/8

Answer is C
8 0
4 years ago
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