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1 year ago

Prove 2(2x+4)= 16 2(2x) by using the laws of exponents. boris9

Mathematics

1 answer:

storchak [24]1 year ago

7 0

The prove that the equation can be verified using the laws of exponents.

<h3>What is the proof of the equation given; 2^(2x+4)= 16 × 2^(2x)?</h3>

It follows from the task content that the equation given is; 2^(2x+4)= 16 • 2^(2x).

It follows from the laws of indices ; particularly, the product of same base numbers.

The evaluation is therefore as follows;

2^(2x+4)= 16 • 2^(2x)

2^(2x) • 2⁴ = 16 • 2^(2x)

2^(2x) • 16 = 16 • 2^(2x)

Hence, since LHS = RHS, it follows that the expression is mathematically correct.

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2 years ago

Laura has two large cylindrical barrels of solution in her chemical laboratory. The first barrel contains 900 liters of solution

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Answer:

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Step-by-step explanation:

Given that:

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Since Laura is draining the solution in the first barrel;

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3 years ago

A certain type of flashlight requires two type-D batteries, and the flashlight will work only if both its batteries have accepta

VikaD [51]

Answer: Our required probability is 0.167.

Step-by-step explanation:

Since we have given that

n = 15

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Probability of failure q = 20% = 0.2

We need to find the probability that at least fourteen will work.

So, by Binomial distribution, we get that

$P(X\geq 14)=P(X=14)+P(X=15)\\\\P(X\geq 14)=^{15}C_{14}(0.8)^{14}(0.2)+^{15}C_{15}(0.8)^{15}\\\\P(X\geq 14)=0.167$

Hence, our required probability is 0.167.

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3 years ago