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Rama09 [41]
2 years ago
15

Write the prime factorization of 27. Use exponents when appropriate and order the factors from least to greatest (for example, 2

235).
Mathematics
1 answer:
Maksim231197 [3]2 years ago
4 0

Answer:

least - 3 * 3 * 3

Step-by-step explanation:

           3 * 3 * 3

              9 * 3

                27

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If f(1)=3 and f(n)=-2f(n-1)+ 1, then f(5)=
AlladinOne [14]
Our function is f(n)=-2f(n-1)+1.
We want to find f(5).
Let's substitute 5 for n.
f(5) = -2f(5-1) + 1
f(5) = -2f(4) + 1
We need to know f(4).
f(4) = -2f(4-1) + 1
f(4) = -2f(3) + 1
We need to know f(3).
f(3) = -2f(3-1) + 1
f(3) = -2f(2) + 1
We need to know f(2).
f(2) = -2f(2-1) + 1
f(2) = -2f(1) + 1
We know that f(1) = 3
f(2) = -2(3) + 1
f(2) = -6 + 1
f(2) = -5
Now we can use f(2) = -5 to find f(3)...
f(3) = -2(-5) + 1
f(3) = 10 + 1
f(3) = 11
Now we can use f(3) = 11 to find f(4)...
f(4) = -2(11) + 1
f(4) = -22 + 1
f(4) = -21
Now we can use f(4) = -21 t find f(5)!
f(5) = -2(-21) + 1
f(5) = 42 + 1
f(5) = 43
7 0
2 years ago
Read 2 more answers
The top of an off shore oil rig has an elevation of 199.2 m and its base has an elevation of -9.6 m and observation deck is loca
matrenka [14]

Answer: 57.6m

Step-by-step explanation:

That's a lot of words that questions usually use to try to trip us up but not this time so lets pull all relevant information

199.2m= top of off shore oil rig

-9.6 m is the base of the rig

observation deck is 1/6 of the total height

helly pad is 22.8m above the observation deck

First lets try to find the total height of the rig. We can do this by adding the absolute value of the top and base of the oil rig. So 199.2 + 9.6 = 208.8m

So the total height is 208.8m now lets find the observation deck. We know the observaition is 1/6 of the total height which is 208.8m right so lets multiply. 1/6*208.8m= 34.8m

Now we know the observation deck is 34.8m high. Finally we can find the helly pad which is 22.8 m above the observation deck.

Since the observation deck is 34.8m and the helly pad is 22.8 above observation deck (34.8m) all we have to do is add so 22.8+34.8= 57.6m

So we know the total height is 208.8m

The observation deck is 34.8m

And the helly pad is 57.6m

7 0
3 years ago
Multiply and simplify. (x - 3)(x2 + 3x + 9)
saul85 [17]
When you distribute and combine like terms, the result is x^3-27

4 0
3 years ago
Read 2 more answers
How do I solve this problem??
Luda [366]

Answer:

3/10 m^2

Step-by-step explanation:

To calculate area of a triangle we multiply height with base and then divide that by 2

2/5 × 3/2 ÷ 2 = 3/10

3 0
2 years ago
The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.
Hatshy [7]

Answer:

0.0158 = 1.58% probability that all of them are under 18.

Step-by-step explanation:

Probability of independent events:

If three events, A, B and C are independent, the probability of all happening is the multiplication of the probabilities of each happening, that is:

P(A \cap B \cap C) = P(A)P(B)P(C)

The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.

This means that P(A) = 0.235, P(B) = 0.258, P(C) = 0.26

If one person is selected from each city, what is the probability that all of them are under 18?

Since the three people are independent:

P(A \cap B \cap C) = 0.235*0.258*0.26 = 0.0158

0.0158 = 1.58% probability that all of them are under 18.

8 0
2 years ago
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