Factorise: 3x²+3px-2mx-2mp

The table shows weights for different US coins. Allen has one of each coin in his hand

Sever21 [200]

Penny- 3g
nickel-5g
dime- 2g
quarter-6g
half dollar- 11g

6 0

2 years ago

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Write a power that has a value greater than 340 and less 345

valina [46]

For this case we must write a power between (340,345)

We chose 343.

We divide the number until we get an exact division:

$\frac {343} {2} = 171.5\\\frac {343} {3} = 114.3\\\frac {343} {4} = 85.75\\\frac {343} {5} = 68.6\\\frac {343} {6} = 57.17\\\frac {343} {7} = 49\\$

So we have:

$7 ^ n = 343\\n = 3$

So, the power is:

$7 ^ 3 = 7 * 7 * 7 = 49 * 3 = 343$

ANswer:

$7 ^ 3 = 7 * 7 * 7 = 49 * 3 = 343$

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2 years ago

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mikisha traveled from tampa to Miami a distance of 280 miles on one tank of gas if her tank holds about 13 gallons of fas ehat w

Aleks [24]

I will send someone too help you

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2 years ago

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Monica has a bag of marbles. There are 4 red marbles and 7 blue marbles and 5 yellow marbles in a bag. Monica will randomly pick

natima [27]

Answer:

$\frac{7}{64}\approx 0.11$

Step-by-step explanation:

We have been given that there are 4 red marbles and 7 blue marbles and 5 yellow marbles in a bag. Monica will randomly pick two marbles out of the bag replacing the first marble before picking the second marble.

Since Monica will replace the first marble before picking the second marble, therefore, probability of both events will be independent and probability of occurring one event will not affect the probability of second event's occurring.

Since the probability of two independent compound events is always the product of probabilities of both events.

$P(\text{A and B})=P(A)*P(B)$

Now let us find probability of picking a red marble out of 16 (4+7+5) marbles.

$P(Red)=\frac{\text{Total red marbles}}{\text{Total marbles}}$

$P(Red)=\frac{4}{16}$

Probability of picking blue ball out of 16 (4+7+5) marbles:

$P(Blue)=\frac{\text{Total blue marbles}}{\text{Total marbles}}$

$P(Blue)=\frac{7}{16}$

Now let us find probability of Monica picking a red and then a blue marble.

$P(\text{Red and Blue})=\frac{4}{16}\times \frac{7}{16}$

$P(\text{Red and Blue})=\frac{1}{4}\times \frac{7}{16}$

$P(\text{Red and Blue})=\frac{7}{4*16}$

$P(\text{Red and Blue})=\frac{7}{64}$

$P(\text{Red and Blue})=0.109375\approx 0.11$

Therefore, the probability of picking a red and then blue marble is $\frac{7}{64}\approx 0.11$ .

7 0

2 years ago

A candle manufacturer sells cylindrical candles in sets of three. Each candle in the set is a different size. The smallest candl

mars1129 [50]

Each candle in the set is a different size.
The smallest candle has a radius of 0.5 inches and a height of 3 inches.
The other two candles are scaled versions of the smallest, with scale factors of 2 and 3.
How much wax is needed to create one set of candles?
in cubic inches
Answer

pi 0.5^2 *3 = 0.75pi is the volume of the first candle.
The second volume is 8 * 0.75pi = 6pi.
And the last volume is 27 * 0.75 pi = 20.25 pi So in total we just take the sum and that is 27pi

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2 years ago

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