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2 years ago

Consider the equation 2*e^-6w=95 Solve the equation for w. Express the solution as a logarithm in base-e

Mathematics

1 answer:

pishuonlain [190]2 years ago

7 0

Answer:

$log_e \Big (\dfrac{95}{2} \Big )= {-6w}$

Step-by-step explanation:

From the given information:

We need to find the value of w

$2*e^{-6w}= 95$

Divide both sutiet sl???ides. VVVVV

$e^{-6w}= \dfrac{95}{2}$

Taking the logarithim in base in e for both sides:

$log_e \Big (\dfrac{95}{2} \Big )= {-6w}$

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You must use the Substitution method

elena-14-01-66 [18.8K]

3x+2y=5w is your answer so your main/real answer is 5w

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3 years ago

A hand of five cards is dealt from a normal pack of 52 cards, find the probability that there is no aces

stich3 [128]

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3 years ago

Apply each of the four counting/sampling methods (with replacement and with ordering, without replacement and with ordering, wit

dusya [7]

Answer:

Step-by-step explanation:

I will illustrate this solution with a unique birthday party situation between Jane (the celebrant) and her 10 friends.

In the said party , we will assume that Jane only has 5 chocolates to share among her friends

i. Assuming that the 5 chocolates are of the same type, if she doesn't want to give any friend more than one piece of chocolate, the situation here is said to be WITHOUT REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

$(\left {n} \atop {k}} \right. )=(\left {10} \atop {5}} \right. )=252$

ii. Assuming that the 5 pieces of chocolate are of the same type and she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

$(\left {n+k-1} \atop {k}} \right. )=(\left {14} \atop {5}} \right. )=2002$

iii. Assuming that the 5 pieces of chocolate are of different types and she isn't willing to give any friend more than one piece of chocolate, the situation is said to be WITHOUT REPLACEMENT & ORDERED

n = 10 & k = 5

Total number of possible combinations becomes,

$P\left {n} \atop {k}} \right=P\left {10} \atop {5}} \right. =30240$

iv. Assuming the the 5 pieces of chocolate are of different types, if she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & ORDERED

n = 10 AND k = 5

Total number of combinations becomes

$n^k=10^5=100,000$

Sampling with replacement means that one friend can be sampled more than once i.e: A friend receives a piece of chocolate more than once

The order dictates how the sampling is applied.

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3 years ago

Dropping less than two inches per mile after emerging from the mountains, a river drains into the ocean. One Day's discharge at

pashok25 [27]

So, one trillion is 1 and twelve zeros, thus 2.4 trillion is 2 trillions and 400 billions or 24 followed by eleven zeros, because the "4" is using up a space.

now, 1 million is 1 and six zeros, thus 100 millions is 100 and six zeros or 1 and 8 zeros.

now, is 2.4 trillions in four months, thus 2.4trillion/4 will give us how many gallons in 1 month.

to find how many households, simply let's divide it by 100 millions

$\bf \cfrac{\stackrel{\textit{2.4 trillions}}{24\times 10^{11}}}{4}\implies \cfrac{24}{4}\times 10^{11}\implies 6\times 10^{11}
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Romashka [77]

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3 years ago

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