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cricket20 [7]
3 years ago
10

Darth Vader unleashed the dark side on the unsuspecting Jedi in 2 seconds. If he did 1725 J of work, how much power did he use?

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
4 0
17,23j power was the answer to the question
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How many real solutions are there for f(x) = (x + 3)^2 – 8?
Molodets [167]
There are 2 solutions. the highest degree of a polynomial is 2
5 0
3 years ago
Can you help me i don’t know the answers
Advocard [28]
1)

An irrational number is a number that a) can't be written as a fraction of two whole numbers AND b) is an infinite decimal without any sort of pattern.

For the first answer choice, clearly \frac{1}{3} does not pass the first criterion so we look at the second choice.

Let's come back to \sqrt{2} and \pi.

\frac{2}{9} doesn't meet our first criterion, and let's skip \sqrt{3} for now.

It is often easier to disprove an irrational number than to prove one. There are a few famous irrationals to know (although there is an infinite number of irrationals). The most common are \sqrt{2},  \pi, e,  \sqrt{3}. For now, it's just helpful to know these and recognize them.

So we can check off \sqrt{2},  \pi and \sqrt{3}.

2) 

For this next question, we know that \sqrt{64} = 8. Clearly this isn't irrational. Likewise, \frac{1}{2} isn't irrational. \frac{16}{4} =  \frac{4}{4} = 1, which is rational, leaving only \frac{ \sqrt{20}}{5} =  \frac{2 \sqrt{5} }{5}. By process of elimination, this is the correct answer. Indeed, \sqrt{5} is an irrational number.

3) This notation means that we have 0.3636363636... and so on, to an infinite number of digits. It is called a repeating decimal.

But it can be written as a fraction because its pattern repeats, unlike for an irrational number.

Let's say x=0.36363636.... Would you agree that 100x=36.36363636...? (We choose to multiply by 100 because there are two decimals that repeat. For 1, choose 10, for 3 choose 1,000, and so on.)

Now, let's subtract x from 100x and solve.

100x=36.36363636\\-x \ \ \ \ \ \ \ -0.36363636\\99x=36\\\\x= \dfrac{36}{99}= \dfrac{4}{11}

Voila!
4 0
3 years ago
Read 2 more answers
You are going to roll two dice. Let the variable x = the sum of the numbers rolled. What is the probability that x = 9 ?
Vladimir79 [104]

The  first cube can land in any one of  6  ways.
The  second cube can land in any one of  6  ways.
Total number of ways that  2 dice can land = (6 x 6) = 36 ways.

For any of these ways, the sum of the numbers rolled is  9 :

3, 6
4, 5
5, 4
6, 3

There are  4  ways to roll a 9, out of a total of  36  ways that
the dice can land.  So the probability of rolling a  9  is

       4 / 36  =  1 / 9  =  <em>11-1/9 percent</em>


7 0
3 years ago
Using the formula d = r * t, calculate how far Jim would drive if he drove 60 miles per hour for 5 hours.?
Lapatulllka [165]

Answer:

Step-by-step explanation:

8 0
3 years ago
This is a pyramid problem so please help out
Degger [83]

Answer:

Step-by-step explanation:

LA, Laterial Surface Area, is the lateral surface area of a pyramid. In this case, it is the sum of five triangles with base of 12cm and height that can be calculated as follow:

height^2 = 8.26^2 + 20^2 = 468.23

height = 21.64cm

LA = 5*1/2*12*21.64

= 649.2cm^2

SA, Surface Area, is the sum of LA and base area.

Base area = 5*1/2*12*8.26 = 247.8cm^2

SA = 649.2 + 247.8 =897cm^2

Volume, V = 1/3 * base area * height

= 1/3 * 247.8 * 20

= 1652cm^3

4 0
3 years ago
Read 2 more answers
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