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2 years ago

If ln(a)=2, ln(b)=3, and ln(c)=5, evaluate the following: ln(a^-4/b^1 c^1)

1 answer:

4 0

Ln ( a^(-4) / b^1 c^1 ) =
= ln a ^(-4) - ( ln b + ln c ) =
= - 4 ln a - ln b - ln c =
= - 4 * 2 - 3 - 5 =
= - 8 - 3 - 5 = - 16

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James is two years younger than twice his sister Kate’s Age. Together their ages add up to 19. What is each of their ages?

andreev551 [17]

James'age : 12, Kate's age : 7

<h3>Further Explanation </h3>

One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:

$\large{\boxed{\bold{ax=b}}}$

ax + b = c, where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

$\large{\boxed{\bold{ax+by=c}}}$

x, y = variable

In the statement of the task:

James is two years younger than twice his sister Kate’s Age can be stated in the equation: James (J) = 2K (Kate) - 2 ⇒equation 1

Together their ages add up to 19. The equation: J + K = 19 .... 2 ---> J = 19 - K ⇒equation 2

So the solution is:

Equation 2 is entered into equation 1 so that it becomes:

19-K = 2K-2

21 = 3K

K = 7

because J + K = 19, then the value of J = 19-7 = 12

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Keywords : Age, variable, linear equation

4 0

3 years ago

2 a square root of 2 b square root 3 parentheses for a square root 2 + 380 square root 2 - 80 parentheses equal

velikii [3]

2√2

= 2√2

√3(√2+380√2-80)

= -80√3+381√6

I hope that's help and sorry for the late answer !

5 0

3 years ago

Kylie borrowed a book from the library the library charge to fix rental for the book in late fee for every day the book was over

irinina [24]

Answer:

B. The fixed rental for the book

Step-by-step explanation:

Kylie borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Kylie paid for the book when she returned it x days after the due date:

2 + 0.25x

What does the constant term of the expression represent? (1 point)

A. The late fee for the book

B. The fixed rental for the book

C. The number of books borrowed

D. The number of days the book was overdue

Solution

Given expression

2 + 0.25x

The constant term is 2 which represent the fixed rental fee for the book

The term 0.25x represent the amount charged for late fee for x days

$0.25 is charge per day after due date

x = number of due date

6 0

3 years ago

If a circle has a circumference of 38cm what is it’s radius to 0.1cm?

ira [324]

Answer:6.05cm

Step-by-step explanation:

Circumference=2×π×r

38=2×22/7×r

38×7=2×22×r

266=44r

r=266/44

r=6.05cm

8 0

2 years ago

A baseball player reaches first base 30% of the time he is at bat.out of 50 times at bat,about how many times will the player re

SOVA2 [1]

Answer:

15 times

Step-by-step explanation:

If he bats 50 times, he will be expected to reach first base "30% of the time".

We simply need to find "what is 30% of 50?"

We first need to convert the percentage (30%) to decimal and then multiply that with 50 to get our answer.

Converting percentage to decimal is very simple! We divide by 100. That's it!

So, we have:

30% = 30/100 = 0.3

Now we do the multiplication:

0.3 * 50 = 15

So, the player would reach first base 15 times (out of 50 times of batting)

6 0

2 years ago