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Yakvenalex [24]
3 years ago
10

Simplify 36n^7p^5 over 9n^4p

Mathematics
1 answer:
Artist 52 [7]3 years ago
6 0
2(exponent2)n(exponent11)p(exponent6)
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Which of the following is equivalent to cos x?
Otrada [13]

ANSWER

D) sin Y

EXPLANATION

The given triangle is a right triangle.

This implies that that:

x + y = 90 \degree

Then we have

y= 90 - x

Recall that

\cos(x)  =  \sin(90 - x)

But

90 - x = y

When we do the substitution, we get,

\cos(x)  =  \sin(y)

Therefore cos(x) is a equivalent to sin(y).

The correct answer is D.

3 0
4 years ago
The grocery store charges $10.35 for 5 bags of oranges.If someone bought 9 bags of oranges,how much would it cost then
Crank
It’s $18.63 , 10.35 divided by 5 = 2.07 , so 2.07 times 9 = $18.63
3 0
3 years ago
If $1000 is invested at 8% interest, compounded annually, then after n years the investment is worthan = 1000(1.08)ndollars.(a)
Luba_88 [7]

Answer:

Diverge

Step-by-step explanation:

(a)

1st year: 1000 * 1.08^1 = \$1080

2nd year: 1000 * 1.08^2 = \$1166.4

3rd year: 1000 * 1.08^3 = \$1259.71

4th year: 1000 * 1.08^4 = \$1360.49

5th year: 1000 * 1.08^5 = \$1469.33

(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

(1000*1.08^n)^{'} = 1000ln(n)*1.08^n

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

(1000ln(n)*1.08^n)^{'} = 1000\frac{ln(n)}{n}1.08^n

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.

5 0
3 years ago
Two cylinders are similar. The volume of the larger cylinder is 343 ft³ and the volume of the smaller cylinder is 125 ​​ft³. The
andreev551 [17]
Both cylinder are similar
Volume of a cylinder is πr^2h
if we consider both has same radius as they are similar
Lets say V1 is volume of small cylinder and V2 is volume of big cylinder.
V1/V2=πr^2x5/πr^2xh
125/343=5/h
0.36=5/h
h=5/0.36
h=13.72 ft

6 0
3 years ago
Solve for z. z/12=6 3/4
Tatiana [17]
6 3/4=6*4+3/4=24+3/4=27/4

z/12=27/4
4z=27*12
4z=324
z=81
3 0
3 years ago
Read 2 more answers
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