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Finger [1]
3 years ago
8

A bacterial culture starts with a population of 750, and grows continuously at a rate of 10.43% per day. What is the approximate

population after 2.5 days?
a. 752 bacteria
b. 770 bacteria
c. 832 bacteria
d. 973 bacteria
Mathematics
1 answer:
pishuonlain [190]3 years ago
8 0

Answer:

I think 973 bacteria

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areas of four triangles are 40 cm^2, 90 cm^2, 202.5 cm^2 and 455.6 cm^2 are continue in sequence. the enlargement factor is 1.5,
maw [93]

Answer:

9th Triangle

Step-by-step explanation:

Given the area of four triangles:40 cm^2, 90 cm^2, 202.5 cm^2 \:and\: 455.6 cm^2

If the Scale factor is 1.5.

This is a geometric sequence and the common ratio is 1.5 X 1.5.

Therefore, the area of any n triangle can be determined using the function:

A(n)=40\cdot1.5^{2(n-1)}

We want to determine which triangle has an area greater than 15000cm^2.

When A(n)=15000

40\cdot1.5^{2(n-1)}>15000\\1.5^{2(n-1)}>\frac{15000}{40} \\1.5^{2(n-1)}>375\\\text{Change to Logarithm form}\\2(n-1)>Log_{1.5}375\\\text{Applying logarithm change of base to base 10 law}\\2(n-1)>\frac{Log 375}{Log 1.5} \\2n-2>14.62\\2n>14.62+2=16.62\\n>8.31

Therefore, the 9th triangle has an area greater than 15000cm^2.

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1-%28-5%29%7D%7B7-2%7D" id="TexFormula1" title="\frac{1-(-5)}{7-2}" alt="\frac{1-(-5
Eduardwww [97]

Answer:

2

Step-by-step explanation:

3 0
3 years ago
How do i solve the system of equations by graphing?<br>2x+y=7 <br>x-2y=6
scoray [572]

Answer:


Step-by-step explanation:

1. y = -2x + 7

2. Graph it (Mark (0, 7) or 7 on the y axis and go over one, down two, mark it and draw a line through both)

3. -2y = -x + 6

4. divide entire equation by 2 to isolate y

5. -y = -x + 3

6. multiply entire equation by -1 to make it positive

7. y=x+3

8. graph it (Mark (0,3) and go over one, down one, mark it and draw a line through both new points)

9. Where the lines intersect is your answer

8 0
3 years ago
100d=13.71 d is what
kherson [118]

Answer:

261661bdhejejejejejdjbene Y qllwlqqlo2o1001100

5 0
3 years ago
Kat plays a surfing video game with a friend. Each player earns 50 points for each trick he performs, but loses 40 points each t
Dahasolnce [82]

Step-by-step explanation:

No. of points got from 1 stunt = 50.

No. of points deducted from 1 fail = 40.

6 stunts and 9 falls were gained last week.

So, A/C the number of points earned =

(6×50)-(9×40)

= 300 - 360

= -60

Her score today is 3 times her score from last week so multiply by 3

= (-60) × 3

= -180

If it were multiplied by -3 instead of 3 it would be...

(-60) × (-3)

= 180

The difference would be that on multiplying with positive 3 she would be 180 points in the whole but multiplying with negative three means she is 180 points in the league.

The similarity is that that whole number is same but the symbol adds a difference and the absolute value would be same too.

3 0
2 years ago
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