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2 years ago

What is the value of ln e^4

Mathematics

1 answer:

sineoko [7]2 years ago

3 0

Answer:

$\large\boxed{\ln e^4=4}$

Step-by-step explanation:

$Use\\\\\log_ab^n=n\log_ab\\\\\log_aa=1\\\\\ln a=\log_e a\to\ln e=1\\====================================\\\\\ln e^4=4\ln e=4(1)=4$

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Brianna has $2.80 in quarters, dimes and nickels in her purse. She has nine more dimes than quarters and six more nickels than q

Feliz [49]

Answer:

She has 4 quarters, 13 dimes, and 10 nickels in her purse

Step-by-step explanation:

Let q be the amount of quarters, d be the amount of dimes, and n be the amount of nickels she has in her purse. We can use this to set up a system of equations:

25q+10d+5n=280

This is because a quarter is 25 cents, a dime is 10 cents, and a nickel is 5 cents. We also have to convert $2.80 to cents since all our other values are in cents.

d=q+9

She has 9 more dimes than quarters

n=q+6

She has 6 more nickels than quarters

We can solve this system using substitution (substitute q+9 for d and q+6 for n)

25q+10(q+9)+5(q+6)=280

25q+10(q)+10(9)+5(q)+5(6)=280

25q+10q+90+5q+30=280

40q+120=280

Subtract 120 from both sides

40q=160

Divide both sides by 40

q=4

Now we plug this back into the other equations to find the amount of nickels and dimes

d=q+9=4+9=13

n=q+6=4+6=10

She has 4 quarters, 13 dimes, and 10 nickels in her purse

4 0

2 years ago

Katrina wants to estimate the proportion of adults who read at least 10 books last year. to do so, she obtains a simple random

Vaselesa [24]

E=Z*sqrt (p(1-p)/N), where E= error margin, p=proportion, N=sample size

Katrina's margin error at 85% confidence interval: E=1.96*sqrt (p(1-p)/100) = 0.196 sqrt (1(1-p))

Mathew's margin error at 99% confidence interval: E= 2.58*sqrt (p(1-p)/400) = 0.129 sqrt (p(1-p))

Since both obtained same estimate of proportion (that is, value of p), it can be seen that Mathew's estimate will have a small error (That is, 0.129 is smaller than 0.196). This can be attributed to larger sample size although a wider confidence (99%) interval was considered.

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3 years ago

A rectangular based prism has a length of

bazaltina [42]

Answer:

924m^3 is the volume of the rectangular prism

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2 years ago

THIS IS URGENT

german

Ok do the original price minus the new price. 90-55=35. Divide that by the original number and multiply it by 100 to find the price decrease. 35/90=.3888*100=38.89

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2 years ago

−12d+58=38d−1116 what does p=

weeeeeb [17]

Answer:

d= 587/25, d=23.48

Step-by-step explanation:

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2 years ago