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iragen [17]
3 years ago
13

6+x^2)^2. Please solve for me

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
6 0

Answer:

<h2>36 + x^4</h2>

Step-by-step explanation:

6^2 + x^2^2

36 + x^4

Hope that helps!

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The sum of probability of an event and non event is ​
Nitella [24]

Step-by-step explanation:

Probability of an event is 1

and probability of non event is 0

7 0
3 years ago
Working alone at its constant rate, pump X pumped out ¼ of the water in a tank in 2 hours. Then pumps Y and Z started working an
madam [21]

Answer:

The correct option is B) 12.

Step-by-step explanation:

Consider the provided information.

Working alone at its constant rate, pump X pumped out ¼ of the water in a tank in 2 hours.

As we know: rate =\dfrac{ work}{time},

The rate of pump X is \frac{\frac{1}{4}}{2} = \frac{1}{8}

\frac{1}{4} of the water is pumped out of the tank, that means only \frac{3}{4} is left to be pumped out.  

All 3 pumps pumped out the remaining \frac{3}{4} of the water out in 3 hours.

The combined rate of all three pumps is: \frac{\frac{3}{4}}{3} = \frac{1}{4}

Pump Y, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water.

The rate of pump Y = \frac{\frac{3}{4}}{18} = \frac{1}{24}

Let z is the time taken by pump Z, then the rate of pump Z is \frac{1}{z}.

Therefore,

\dfrac{1}{8}+\dfrac{1}{24}+\dfrac{1}{z}=\dfrac{1}{4}

Multiplying both sides by 24 z.

3z + z + 24 = 6z\\24 = 2z\\12 = z

Hence, the correct option is B) 12.

5 0
3 years ago
Solve the following using distributive property:327×105
Aliun [14]

Distributive Property:

The distributive property tells us how to solve expressions in the form of a(b + c).

a(b+c) =a*b +a*c

In this question we have to find two numbers that add up to give 105,

105 =100+5

Now replacing 105 by 100 + 5, rewriting the expression as :

327 *105 = 327 (100+5)

distributing 327 over 100 and 5

here a=327, b =100 and c=5

327 (100+5) = 327*100 +327 *5

= 32700 + 1635

Answer:

327*105 = 34335

4 0
3 years ago
A carpenter lays 15 square feet of tile in 1/3 of an hour. How many square feet does the carpenter may per hour?
taurus [48]

Answer:

x=24 square feet per hour

Step-by-step explanation:

You divide 16 by 2 to get how many tiles that are laid in 1/3 of an hour. Then multiply that by 3 to get how many tiles in one whole hour. The answer should be 24.

5 0
2 years ago
Probability theory predicts that there is a 9% chance of a water polo team winning any particular match. If the water polo team
AlexFokin [52]
The result is <span>B. 1638.</span>

To calculate this, we will use both an addition and a multiplication rule. The addition rule is used to calculate the probability of one of the events from multiple pathways. If you want that only one of the events happens, you will use the addition rule. <span>The multiplication rule calculates the probability that both of two events will occur.
First, there are two possibilities for winning exactly one match:
1. To win the first match and lose the second one.
2. To lose the first match and win the second one.

9% = 0.09 is the probability of winning. The probability of losing is 1-0.09 = 0.91. To calculate the probability of winning </span><span>the first match and losing the second one and vice versa, we will use the multiplication rule:
</span>1. 0.09 × 0.91 = 0.0819
2. 0.91 × 0.09 = 0.0819

We want to either one of these events to happen, so using the addition rule, we have:
0.0819 + 0.0819 = 0.1638

In 10,000 matches:
0.1638 × 10,000 = 1,638
4 0
3 years ago
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