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3 years ago

Evaluate the expression without using a calculator. In1/e^7

Mathematics

1 answer:

Sati [7]3 years ago

8 0

Answer:

-7

Step-by-step explanation:

$ln(\frac{1}{e^7})\\=ln(e^{-7})\\ =-7ln(e)\\=-7$

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How do you write 3.25 in simplest form

dedylja [7]

3.25 would be 3 1/4 because,

Step 1: You would rewrite the decimal number as a fraction with 1 in the denominator. So, 3.25 = 3.24/1

Step 2: Multiply it by 1 to eliminate 2 decimals places, so multiply the top and bottom by 10^2 = 100
3.25/1 x 100/100 = 325/100
Step 3: Now you find the greatest common factor, also known as GCF, of 325 and 100 if it exits then you reduce the fraction by dividing both numerator and denominator by it. GCF = 25
3.25/100 divided by 25/25 = 13/4
Now you would simplify it to make a proper fraction getting your answer
3 1/4
Does that make sense?

7 0

3 years ago

Read 2 more answers

The town of Madison has a population of 25000 The population is increasing by a factor of 1.12 each year.

Fudgin [204]

Answer:

$P(t) = 25,000*1.12^t$

Step-by-step explanation:

The populational growth is exponential with a factor of 1.12 each year. An exponential function has the following general equation:

$y(x) = ab^x$

Where 'a' is the initial population (25,000 people), 'b' is the growth factor (1.12 per year), 'x' is the time elapsed, in years, and 'y(x)' is the population after 'x' years.

Therefore, the function P(t) that models the population in Madison t years from now is:

$P(t) = 25,000*1.12^t$

8 0

3 years ago

Read 2 more answers

I will mark branliest if correct

marishachu [46]

Answer:

I believe it would be 1

Step-by-step explanation:

6 0

2 years ago

The area of the trapezoid is 40 square units.

Whitepunk [10]

Answer:

5 units

Step-by-step explanation:

Image of the trapezoid is attached.

To find the height of the trapezoid (image attached), let's take the formula for area of a trapezoid.

The formula for area of a trapezoid is:

$A = (\frac{a + b}{2}) h$

Here, a and b represents the bases of the trapezoid.

a = 6

b = 10

h which represents height is unknown.

A = 40

Substitute figures:

$40 = (\frac{6 + 10}{2}) h$

$40 = (\frac{16}{2}) h$

$40 = 8 * h$

Solve for h:

$h = \frac{40}{8}$

$h = 5$

The height of the trapezoid is 5 units

4 0

3 years ago

Read 2 more answers

Y varies inversely with x, y = 4 and x = 3, what is y, when x = 2B) given: y = 2x - 1 (x-3)(x+1) what is the I. VAII. HA III. X-

Semmy [17]

SOLUTION

(a)

$\begin{gathered} y\alpha\frac{1}{x} \\ \\ y=\frac{k}{x} \\ \\ 4=\frac{k}{3} \\ \\ k=12 \end{gathered}$ $\begin{gathered} y=\frac{12}{x} \\ \\ when\text{ x=2} \\ \\ y=\frac{12}{2} \\ \\ y=6 \end{gathered}$

4 0

1 year ago