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3 years ago

What value of g makes the equation 2g+6-14g=-6(g-5) true?

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

8 0

Answer:

g=-4

Step-by-step explanation:

2g+6-14g=-6(g-5)

-12g+6=-6g+30

-6g+6=30

-6g=24

g=-4

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Caswell started studying how the number of branches on his tree grows over time. The relationship between the elapsed time ttt,

ipn [44]

Answer:

t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.

Step-by-step explanation:

100 = 5 * 10^(0.3t), solve for t

Divide both sides by 5:

20 =10^(0.3t)

Take the log of both sides:

0.3t =log(20)

Divide both sides by 0.3:

Multiply the RHS by 10 / 10

t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.

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3 years ago

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Which equation has the soluion x=4

AfilCa [17]

Answer:

3x=12

Step-by-step explanation:

3 times X with x being 4 making it 12 so X=4 and 3x=12

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3 years ago

Find two positive numbers such that the sum of the first and twice the second is 88

Juli2301 [7.4K]

the 2 numbers are 8 and 40

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3 years ago

In one year, three awards (research, teaching, and service) are given to a class of 25 graduate students in a statistics departm

allochka39001 [22]

Answer:

13,800

Step-by-step explanation:

This is a permutation, not a combination, because order matters.

Here's why:

Arbitrarily, let's say that the three students chosen for the award are Abby, Bob, and Charlie. The order of which each award is given to the three of them matters, because otherwise they would be receiving different awards. For example, if Abby gets the research award, Bob gets the teaching award, and Charlie gets the service award, this would be notably different than if Abby got the teaching award, Bob got the service award, and Charlie got the research award.

Therefore, for the first award, we have 25 people to choose from. After we select that person, we have 24 people to choose from, since the problem stipulates that each student can receive at most one award. Then 23, and so on.

Since we're choosing three people to give awards to, there are:

$25\cdot 24\cdot 23=\boxed{13,800}$ permutations. Because order matters (refer to explanation above), this is our final answer.