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4 years ago

Solve the exponential equation. 1/16 = 64x a. -2/3 b. 2/3 c. 3/2

1 answer:

5 0

We have that
1/16 = 64^x
applying log both sides
log(1/16)=log(64^x)
log 1-log16=x*log64
-log 16=x*log 64
divide by log 64 both sides
x=-log 16/log 64
log 16=log 2^4-----> 4*log 2
log 64=log 2^6-----> 6*log 2
-log 16/log 64=(-4*log 2)/(6*log 2)-----> -4/6------> -2/3

the answer is
x=-2/3

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Using PEMDAS is the best.

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4 years ago

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4 years ago

A pet store owner, Byron, needs to determine how much food he needs to feed the animals. Byron knows that he needs to order the

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Step-by-step explanation:

Step 1: Given number of bird food packages = b. Find the number of packages for the other animal foods.

Number of hamster food packages = b.

Number of dog food packages = 4b

Number of cat food packages = 1/2 of 4b = 2b

Total food packages = 600

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4 years ago

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You need half a liter of milk how many millimeters do you need

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Well lets look at this

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Divide by 2: 1000 ÷ 2 = 500

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4 years ago

A baseball coach is creating a nine-player batting order by selecting from a team of 15 players. How many different batting orde

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Answer:

1,816,214,400 batting orders are possible.

Step-by-step explanation:

The order is important.

Suppose we had a two player batting order.

A batting order of Jonathan Schoop and Manny Machado is a different order than Manny Machado and Jonathan Schoop. So we use the permutations formula.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!)}$

A baseball coach is creating a nine-player batting order by selecting from a team of 15 players. How many different batting orders are possible?

Selection of 9 players from a set of 15 players. So

$P_{15,9} = \frac{15!}{(15-9)!} = \frac{15!}{6!} = 1816214400$

1,816,214,400 batting orders are possible.

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3 years ago