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Amiraneli [1.4K]
3 years ago
11

4x^2 - 9y^6 what patterns can be used ? please and thank you !!!

Mathematics
1 answer:
S_A_V [24]3 years ago
3 0

Answer:

<em>B. (U+V)(U-V)</em>

Step-by-step explanation:

<u>Factoring</u>

The given expression is:

4x^2-9y^6

It should be noted that both terms are perfect squares:

(2x)^2=4x^2

(3y^3)^2=9y^6

Since it's a difference of squares, we need to use the following pattern to factor the required expression:

(U^2-V^2)=(U+V)(U-V)

Thus, the answer is

B. (U+V)(U-V)

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The temperature T in degrees Celsius of a liquid t minutes after heating is given by the formula T=8√t. When is the temperature
Advocard [28]
T=8√t
T=temperature
t=time in minutes.
If T=48, we have to calculate the time.

48=8√t
(48)²=(8√t)²
2304=64t
t=2304 / 64=36

answer: 48 degrees Celsius will be reached in 36 minutes. 
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3 years ago
Please help me asap!!
Amiraneli [1.4K]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
Backgammon is a board game for two players in which the playing pieces are moved according to the roll of two dice. players win
Ivahew [28]

The rolls of the dice are independent, i.e. the outcome of the second die doesn't depend in any way on the outcome of the first die.

In cases like this, the probability of two events happening one after the other is the multiplication of the probabilities of the two events.

So, the probability of rolling two 6s is the multiplication of the probabilities of rolling a six with the first die, and another six with the second:

P(\text{rolling two 6s}) = P(\text{rolling a 6}) \cdot P(\text{rolling a 6}) = \dfrac{1}{6} \cdot \dfrac{1}{6}  = \dfrac{1}{36}

Similarly,

P(\text{rolling two 3s}) = P(\text{rolling a 3}) \cdot P(\text{rolling a 3}) = \dfrac{1}{6} \cdot \dfrac{1}{6}  = \dfrac{1}{36}

Actually, you can see that the probability of rolling any ordered couple is always 1/36, since the probability of rolling any number on both dice is 1/6:

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7 0
3 years ago
Carla wants the total weight of the bags to be four pounds. If she can only pick one more bag, which bag weight should she pick?
pychu [463]

Answer:

1/8

Step-by-step explanation:

To find which bag weight Carla needs, the first step is to find the total weight of the bags shown in the line plot.

There are three -pound bags.

There are six -pound bags.

There are four -pound bags.

Multiply the weight and number of each bag to find the total weight of each different weight bag.

Now, add the three totals.

Finally, subtract the total weight from four pounds in order to find which weight Carla needs.

So, Carla should pick one -pound bag of candy to total four pounds.

4 0
2 years ago
8. Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237.
Andrei [34K]
S=number of swim lessons

A.) The equation is 237 = 402-15s

237 = 402 - 15s
-402 = -402
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C.) 0 = 237 - 19s
-237= -237
-237 = -19s
/-19 = /-19
12.47368 = s
She can pay for 12 more swim lessons and will have some money left in her account.






5 0
3 years ago
Read 2 more answers
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