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marishachu [46]
3 years ago
14

The bacteria starts at 2million.The doctor prescribes an antibiotic that reduces the bacteria population to 1/4 of its size each

day.
a. Draw the graph of the size of the bacteria population against time in days.
b. Find the formula that gives the size of the bacteria population in terms of time.
c. Find the size of the bacteria population ten days after the drug was first taken.
d. Find the size of the bacteria population after 14 days​
Mathematics
1 answer:
Bogdan [553]3 years ago
8 0

i think its B but iam not sure

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balu736 [363]

Answer:

12 cm

Step-by-step explanation:

First, we find the scale factor from cone S to cone T.

ratio of volumes = (vol of T)/(vol of S) = (6144 pi cm^3)/(768 pi cm^3) = 8

The ratio of the volumes is 8:1

The scale factor, which is the ratio of linear dimensions (height, radius, etc.), is the cubic root of the ratio of the volumes.

scale factor = cubic root of 8 = 2

The height of cube T is 24 cm, so the height of cube S is 24 cm/2 = 12 cm.

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3 years ago
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Karen Sullivan delivers newspapers for the Tribune dispatch. She receives 18.2 cents per paper, six days a week (for the daily p
mario62 [17]

Answer:

About $241.11

Step-by-step explanation:

So, Karen receives 18.2 cents per paper.

She delivers 124 paper per day.

In other words, on days other than Sunday, she will make a total of:

18.2(124)=2256.8\text{ cents}

On Sunday, each paper is sold for $0.70 or 70 cents. She also sells 151 Sunday papers. Thus, on a Sunday, she will make a total of:

70(151)=10570\text{ cents}

Therefore, in one week, she will do the first equation six times and the Sunday equation once. Thus, her total pay will be:

6(2256.8)+10570=24110.8\text{ cents}\approx\$241.11

4 0
3 years ago
Please help me i rlly need help
Mumz [18]

Answer:

3

Step-by-step explanation:

Given a line with points; (2, 5) (3, 8).

1. Find the slope of the given line

The formula for finding the slope is:

\frac{y_{2}-y_{1} }{x_{2} - x_{1}}

Substitute in the values;

x_{1} = 2\\y_{1} = 5\\x_{2} = 3\\y_{2} = 8

\frac{8-5}{3-2}

simplify;

\frac{3}{1}

= 3

2. Find the slope of the parallel line;

Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.

5 0
2 years ago
Which of the following statements must be true about this diagram?
vaieri [72.5K]

Answer:

A, C, D

Step-by-step explanation:

A, C, D

3 0
2 years ago
It has been said that newspapers are disappearing, replaced by various electronic media. In 2004, newspaper circulation (the num
shutvik [7]

Answer:

A. y=-1.2x+59

B. 42.2 million

Step-by-step explanation:

Part A:

Given:

Newspapers circulated in year 2004, y_{1}=59\textrm{ million}

Newspapers circulated in year 2014, y_{2}=47\textrm{ million}

Let the time x start at the year 2004. So, x_{1}=0

For the year 2014, x_{2}=2014-2004=10

Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:

y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})\\y-59=\frac{47-59}{10-0}(x-0)\\y-59=-\frac{12}{10}x\\y=-1.2x+59

Therefore, the equation describing the relationship is: y=-1.2x+59

Part B:

For the year 2018, x=2018-2004=14

Plug in 14 for x in the above equation and solve for y. This gives,

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Therefore, in the year 2018, the newspaper circulation will be 42.2 million.

8 0
2 years ago
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