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sammy [17]
3 years ago
9

Find the product. (0.5n^5)^2(10n^7)^3

Mathematics
1 answer:
vodka [1.7K]3 years ago
8 0

Step-by-step explanation:

(0.5 {n}^{5} )^{2} (10 {n}^{7} )^{3}  \\  = (0.5)^{2} {n}^{5 \times 2} \times  {10}^{3} {n}^{7 \times 3} \\  = 0.25 {n}^{10}  \times 1000 {n}^{21}  \\  = (0.25 \times 1000){n}^{21 + 10} \\ \purple{ \boxed{ \bold{  (0.5 {n}^{5} )^{2} (10 {n}^{7} )^{3} = 250{n}^{31}}}}

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Please help and thank you!
Stolb23 [73]

The conversion is

x =  r \cos \theta

y = r \sin \theta

So

\dfrac y x = \tan \theta

We're given the fairly unusual

\theta = -\frac 5 2

It's fairly unusual because usually an angle is given in degrees or radians, and typically the radians are a fraction times pi. We'll assume radians.

\dfrac y x = \tan \theta = \tan(-5/2) \approx 0.747

Ah, there's our .75. The approximate answer is

y = 0.75 x

Third choice.

The exact answer is

y = x \tan( -\frac 5 2)

also a line through the origin.

3 0
3 years ago
Two consecutive odd integers have a sum of 32. Find the integers.
bezimeni [28]
Let
x = first consecutive odd
x + 2 = second consecutive odd

Based on the problem, we equate
x + (x + 2) = 32
Solving for x,
2x + 2 = 32
2x = 32 - 2
2x = 30
x = 30/2
x = 15
and x + 2 = 15 + 2 = 17

Therefore, the integers are 15 and 17.
6 0
3 years ago
2.907*10^3 write in standard form
Alika [10]

Answer:

2907

Step-by-step explanation:

3 0
3 years ago
A local game store earns a profit of $15.50 for every game they sell. The profit from every game they sell is deposited directly
Nikolay [14]

Answer:

B. 23 games.

Step-by-step explanation:

Current balance: $469

Goal balance: $825.50

Profit per game: $15.50

  1. 825.50 - 469 = 356.50

They only need $365.50 in order to reach the goal.

  1. 356.50 ÷ 15.50 = 23

They need to sell 23 games, each selling for $15.50, in order to reach their goal balance, of $825.50.

  • Therefore, the answer is B.
3 0
3 years ago
Factor the expression 4x + 32. Explain each step you take in the process.
Butoxors [25]
4x+32

4 goes into 4 1 time. (4/4=1)
4 goes into 32 8 times. (32/4=8)
We can factor out 4 from both numbers. 

4(1x+8)
aka 4(x+8)
6 0
4 years ago
Read 2 more answers
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