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2 years ago

Solve: 2 In 3 = In(x-4)

Mathematics

1 answer:

jeka57 [31]2 years ago

5 0

Answer:

x = 13

Step-by-step explanation:

one of the rules of logarithm (for all bases, by the way, not just e for ln) is

$a \times ln(b) = ln( {b}^{a} )$

so, we have

ln(3²) = ln(x-4)

3² = x - 4

9 = x - 4

x = 13

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If it took 28 minutes to run 4 miles, then at that rate, how long would it take to run 20 miles?

SSSSS [86.1K]

Answer:

140 minutes

Step-by-step explanation:

After 28 mins you've gone 4 miles, assuming this rate is constant and you dont slow down or speed up, in order to get to 20 miles you will have run 5x as much (20/4 = 5), thus 5x the amount of time (28x5).

20/4 = 5

5x28 = 140

8 0

2 years ago

Read 2 more answers

NEED HELP WILL MARK BRAINIEST!

Illusion [34]

Answer:

A) 23+5=28

B) 23-5=18

i hope it helped

7 0

3 years ago

What are the numbers that are either negative or greater than 5

Reptile [31]

postive or greater6 7 8 9 10

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3 years ago

Find values of  that satisfy the equation for 0º    360º and 0  θ  2 . Give answers in degrees and radians.

suter [353]

Answer:

$\theta = 30^\circ, 330^\circ$

$\theta = \frac{\pi}{6}, \frac{11\pi}{6}$

Step-by-step explanation:

Given [Missing from the question]

Equation:

$cos\theta = \frac{\sqrt 3}{2}$

Interval:

$0 \le \theta \le 360$

$0 \le \theta \le 2\pi$

Required

Determine the values of $\theta$

The given expression:

$cos\theta = \frac{\sqrt 3}{2}$

... shows that the value of $\theta$ is positive

The cosine of an angle has positive values in the first and the fourth quadrants.

So, we have:

$cos\theta = \frac{\sqrt 3}{2}$

Take arccos of both sides

$\theta = cos^{-1}(\frac{\sqrt 3}{2})$

$\theta = 30$ --- In the first quadrant

In the fourth quadrant, the value is:

$\theta = 360 -30$

$\theta = 330$

So, the values of $\theta$ in degrees are:

$\theta = 30^\circ, 330^\circ$

Convert to radians (Multiply both angles by $\pi/180$ )

So, we have:

$\theta = \frac{30 * \pi}{180}, \frac{330 * \pi}{180}$

$\theta = \frac{\pi}{6}, \frac{33 * \pi}{18}$

$\theta = \frac{\pi}{6}, \frac{11 * \pi}{6}$

$\theta = \frac{\pi}{6}, \frac{11\pi}{6}$

8 0

2 years ago

A $3000 loan has an annual interest rate of 6.6% on the amount borrowed. How much time has elapsed if the interest is now $1386?

san4es73 [151]

Answer:

Step-by-step explanation:

time=interest

P*R

time=1386*100

6.6 * 3000

time=7

7 0

2 years ago