A population of insects doubles every month. this particular population started out with 20 insects

1 answer:

8 0

Start with 20
After 1 month, 20 * 2 = 20 * 2^1
After 2 months, (20 * 2) * 2 = 20 * 2^2
After 3 months, (20 * 2^2) * 2 = 20 * 2^3
After x months: 20 * 2^x

2x+20, x being a month

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A motor boat travels 60 miles down a river in 3 hours but takes 5 hours to return upstream. Find the rate of the boat in still w

prohojiy [21]

Step-by-step explanation:

Given that,

A motor boat travels 60 miles down a river in 3 hours but takes 5 hours to return upstream,

We know that,

Speed = distance/time

The rate while moving downstream $=\dfrac{60}{3}=20\ mph$

The rate while moving upstream $=\dfrac{60}{5}=12\ mph$

The rate of the boat in still water is the average of these:

$v_s=\dfrac{20+12}{2}=16\ mph$

The rate of the current is the difference between the boat speed and actual speed = 16 mph - 12 mph = 4 mph

Hence, this is the required solution.

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2 years ago

Solve 3 - x= -9. O A. x= 6 O B. x= 12 O c. x= -6 O D. x=-12

Katarina [22]

Answer:

x=12

Step-by-step explanation:

you need the x alone so you substract 3 from both sides.

Then you have, -x= -12

You need the x positive so you change the sign for it but as it is an equation you need to do the same thing on the other side, making both sides positive.

x=12

6 0

2 years ago

Read 2 more answers

(100 points) HELP ME NOW!!!! NOOOOW!!!!! OR ELSE UR GONNA BE SUPER DUPER SORRY >:)

Zielflug [23.3K]

Answer:

The answer is in the image! The interval notation is [-5,4)

Step-by-step explanation:

Notice that on the linee graph it shows a open circle on 4 and a closed dot on -5... This is because the number can be greater than -5 or equal to(this is represented by the brackets) and on 4 it can only be less than 4 and not equal to it (Represented by parenthesis)...

To solve for the inequality you must solve for x. The easiest way to do this is to multiply each component in the middlee by 3, the add two on both sides, then divide by 9 on both sides. This gives you the simplest inequality at -5<= x <4!

Hope this helps! If you cant open the image let me know!