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Eva8 [605]
4 years ago
10

What is the true solution to 2 In eln 5x – 2 In 15?

Mathematics
1 answer:
babunello [35]4 years ago
6 0

Answer:

x = 49.84

Step-by-step explanation:

We are given an equation of unknown x and we have to solve the equation for x.

2\ln(e\ln5x)-2\ln15 =0

⇒ ln(e\ln5x) = \ln15

⇒ \ln e + \ln \ln 5x = \ln 15 {Since we know that  ln AB =ln A + ln B}

⇒ \ln \ln 5x = \ln 15 -\ln e

⇒ \ln \ln 5x=\ln \frac{15}{e} {Since we know that ln A/B = ln A - ln B}

⇒ \ln 5x = \frac{15}{e}

⇒ 5x = e^{\frac{15}{e} }

⇒ x = \frac{1}{5} e^{\frac{15}{e} }{Converting logarithm to exponent form}

⇒ x = 49.84 (Approximate) (Answer)

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Question 2 (1 point)
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Answer:

acute

Step-by-step explanation:

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6 0
3 years ago
ALlice, Bob, and Kevin go to an ice cream shop that sells 7 different flavors of ice cream:chocolate, vanilla, mint chip, strawb
Ierofanga [76]

Alice has 36 possibilities of choosing ,Bob 126 and Kevin 84.

Alice, Bob and Kevin

7 different Flavors:

Chocolate

Vanillla

mint chip

strawberry

cookie dough

banana

caramel

The order of the 9 scoops does not matter.

_ _ _ _

a) How many ways can she choose her 9 scoops so she gets at least 1 scoop of each flavor?

Since there are 7 flavors, and she wants at least one of each then we have:

C=\frac{9!}{7!2!}\text{ =3}6

Alice has 36 possibilites of choosing

b) Bob

Since Bob can't eat too much he can't do no more than 4

C\text{ =}\frac{9!}{4!5!}=126

Bob has 126 possibilities of making his choice.

c) Kevin

3 scoups of banana or 3 scoups of strawberries.

Considering He wants 9 scoups.

C=\frac{9!}{6!3!}=84

Kevin has 84 possibilities for banana or strawberries

7 0
1 year ago
Similar statement of √111<br> Pls help
Diano4ka-milaya [45]
111 is between 11 and 12
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3 years ago
Holly has $462 in her bank account and takes out $15 each week but does not put any back in. Write an equation/expression to rep
Degger [83]

Answer:

Therefore required expression is

y =462 - t×15

where y represents the amount of money in her bank account in dollar after t week.

Step-by-step explanation:

Given that,

Holly has $462 in her bank account and takes out $15 each week but does not put any back in.

She takes out $15 on first week.

The remaining amount of her bank account is =$(462-15)

                                                                            =$(462 - 1×15)

If she withdraws $15 on second week.

The remaining amount of her bank account is =$(462-15-15)

                                                                            =$(462 - 2×15)

Similarly after third the amount in her account is =$(462 - 3×15)

From the above it is cleared that

The amount in her account after t week is

=$(462 - t×15)

Therefore required expression is

y =462 - t×15

where y represents the amount of money in her bank account in dollar after t week.

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3 years ago
give an example of how you would create a sample from the population of the United States using cluster sampling and stratified
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4 years ago
Read 2 more answers
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