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Nat2105 [25]
3 years ago
15

Select the correct answer.

Mathematics
1 answer:
arsen [322]3 years ago
8 0

Answer:

8+3i

Step-by-step explanation:

(9+6i)-(1+3i)

9+6i-1-3i

8+3i

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Write each of the following expressions without using absolute value. |z−6|−|z−5|, if z<5
yaroslaw [1]

Answer:

6z

Step-by-step explanation:

4 0
3 years ago
The population of a town is 13,000. It decreases at a rate of 5% per year. In about how many years will the population be less t
just olya [345]

This is an exponential decay problem.

Using the equation Y = a *(1-rate)^time

where Y is the future value given as 12,000 and a is the starting value given as 13,000.

The rate is also given as 5%.

The equation becomes:

12,000 = 13,000(1-0.05)^x

12,000 = 13,000(0.95)^x

Divide each side by 13000:

12000/13000 = 0.95^x/13000

12/13 = 0.95^x

Use the natural log function:

x = ln(12/13) / ln(0.95)

x = 1.56 years. ( this will equal 12,000

Round to 2 years it will be less than 12000.

3 0
3 years ago
The height of a sunflower increases from 82cm to 1 metre in a week.find the percentage increase in height
KATRIN_1 [288]
Find difference i.e 100-82=18
if 82 is 100%, what about 18?
(18*100)/82= 21.951 ans
5 0
3 years ago
Erin buys a bag of peanuts that weighs 3/4 of a pound.later that week the bag is 2/3 full how much does the back of peanuts weig
nasty-shy [4]

The answer is 1/2lbs, here's how.


3/4x2/3=6/12 reduced to 1/2lbs.

4 0
3 years ago
a tree increases in diameter each year by an average of 0.51cm. If the tree currently has a diameter of 4 inches, how old do you
Zepler [3.9K]
There are 2.54 cm in 1 inch.  Since we are estimating, we can round the average growth per year to .5 cm which would give you roughly 5 years per inch of diameter (2.5 / .5 = 5).  Since we have a tree with a 4 inch diameter, we can estimate the age of the tree is...

4 inches x 5 years/inch = 20 years old.
8 0
3 years ago
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