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Alex
3 years ago
13

Paul is gathering data about moss growth in a local forest. He measured an area of 11 square centimeters on one particular tree

and will come back in 6 months to measure the growth of the moss. If the area covered by moss multiplies by one and a half times each month, approximately how much area will the moss cover when Paul returns?
Mathematics
2 answers:
STatiana [176]3 years ago
8 0
If you so 11 * 1.5 * 1.5 * 1.5 * 1.5 * 1.5 * 1.5 you get approximately 125.2969cm squared
Nikitich [7]3 years ago
4 0
<h2>Answer:</h2>

The area that moss cover when Paul returns is:

              125.296875\ \text{square\ centimeters}

<h2>Step-by-step explanation:</h2>

The initial area that is measured by Paul about moss growth in a local forest is:  11 square centimeters.

We know that the increase in the area covered by moss is increasing exponentially.

Since each month it is increasing by a fixed constant 1.5 times as it was the previous month.

Hence, the function which represents the area covered by moss in x months is:

     A(x)=11\times (1.5)^x

We are asked to find the value of function when x=6

i.e.

A(x)=11\times 1.5\times 1.5\times 1.5\times 1.5\times 1.5\times 1.5\\\\\\A(x)=125.296875\ \text{square\ centimeters}

            Hence, the answer is:

            125.296875\ \text{square\ centimeters}

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If the graph of y = lxl is translated so that the point (1, 1) is moved to (1.4), what is the equation of the new graph?
Fittoniya [83]

Answer:

y = |x| + 3.

Step-by-step explanation:

The movement of  the y value from 1 to 4 is  a translation  of 3 units upwards.

The graph  is y = |x| + 3.

7 0
3 years ago
Solve P= 2B + 2M for B
kykrilka [37]

Answer:

B = P/ 2 − M

Step-by-step explanation:

8 0
2 years ago
A carpenter wants to cut a board 16 1/2 feet in length into 1 7/8 feet pieces. How many pieces can be cut from the board? The ca
yawa3891 [41]
<h3>Answer:</h3>
  • 8 pieces
  • 3/8 foot
<h3>Explanation:</h3>

a) Let n represent the number of 1 7/8 ft pieces. Then we have ...

... 16 1/2 ft = n × (1 7/8 ft)

We can find n by dividing this equation by 1 7/8.

... (16 1/2)/(1 7/8) = n = (132/8)/(15/8) = 132/15

... n = 8 12/15 = 8 4/5

The integer number of pieces that can be cut is 8 pieces.

b) The length of the left-over piece is 4/5 of the full length of a piece, so is ...

... (4/5) × (15/8 ft) = 12/8 ft

We want to divide this into 4 equal lengths, so each of those lengths will be 1/4 of the length of the left-over:

... (1/4) × (12/8 ft) = 3/8 ft

_____

<em>Comment on arithmetic with fractions</em>

This problem is easier if you <em>convert the mixed numbers to improper fractions</em>. This is done by expressing the integer as a number of fractional parts, then adding the fraction part of the mixed number:

... a + b/c = (a×c/c) + b/c = (ac +b)/c

Division with fractions is taught a couple of different ways. One way you can do it is to "invert and multiply". That is, you multiply the numerator fraction by the reciprocal of the denominator fraction:

... (a/b)/(c/d) = (a/b)×(d/c)

Another way you can do the division is to express each of the numerator and denominator fractions over the same denominator. Then the quotient is the ratio of numerators.

... (a/c)/(b/c) = a/b

This is the method we used here. Effectively, we converted 16 1/2 to 16 4/8 then to (16×8 +4)/8 = 132/8. Then the numerator and denominator fractions both had denominators of 8, so (132/8)/(15/8) = 132/15. This fraction can be reduced by removing a factor of 3 from numerator and denominator to give ...

... 132/15 = 44/5 = 8 4/5

7 0
2 years ago
Is 0 a Rational number
oee [108]
We can say that ‘0’ is also a rational number since it can represent it in many forms of 0/1, 0/2, 0/3, etc. So yea it is hope this helped!
4 0
2 years ago
Read 2 more answers
20 POINTS!
White raven [17]

Answer:

Down here ↓↓↓↓↓↓

Step-by-step explanation:

13:

It is a function, notice that if you draw a vertical line anywhere, it doesn't pass two points.

Domain : All real numbers (x-values)

Range : 2 (y-values)

14:

Not a function, if you draw a vertical line through one point, it will hit two others.

Domain : -3

Range : 4 , 0, -4

15:

It is a function, no two points in any vertical line.

Domain: All real numbers

Range: All real numbers

16:

Not a function, two points in one line

Domain : -5 ≤ x ≤ 5

Range: -2 ≤ y ≤ 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0
2 years ago
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