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3 years ago

What is the slope of the line passed through the points ( 1, -5) and 4,1?

Mathematics

1 answer:

Allisa [31]3 years ago

8 0

If you use the slope formula, the answer is m = 2

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A bacterial culture starts with 500 bacteria and doubles in size every half-hour.

tekilochka [14]

Answer:

a). 32000

b). $T_{t}=500\times 4^{t}$

c). 1259

Step-by-step explanation:

Growth of a bacteria is always exponential. Therefore, population of the bacteria is represented by the the geometric sequence.

Sum of the bacterial population after t hours will be represented by

$T_{n}=ar^{n}$

Where a = population at the start

r = ratio with the population is growing

n = time or duration of the growth in one hour

a). Population of 500 bacteria gets doubled after half an hour.

Or gets 4 times after an hour

This sequence will have a common ratio r = 4

and initial population a = 500

Therefore, population of the bacteria after 3 hours will be

$T_{3}=500\times 4^{3}$

$T_{3}=32000$

b). After t hours number of bacteria will be represented by

$T_{t}=500\times 4^{t}$

c). We have to calculate the population after 40 minutes.

That means duration 't' = 40 minutes of $\frac{2}{3}$ hours

By the formula,

$T_{\frac{2}{3}}=500\times 4^{\frac{2}{3}}$

$T_{\frac{2}{3}}=1259.92$ ≈ 1259

Therefore, number of bacteria after 40 minutes will be 1259.

8 0

3 years ago

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Ryan shaded 70 squares on his hundredths grid. Sarah shaded 80 squares on her hundredths grid.

Nuetrik [128]

Answer:

0.7

Step-by-step explanation:

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4 years ago

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What is 7 (1+10p) + 8 (1 + 6p)

Komok [63]

Answer:

58p+15

Step-by-step explanation:

First, we want to get rid of the parentheses in the equation. To do that, let's start with 7(1+10p). We multiply 7 by each item in the parenthesis, and get 7+70p. Keep that little thing in mind, we will use it later. Next, same process with the other part, and we get 8+48p. We multiplied both parts out, so now we just add like terms. 7 and 8 don't have letters, so we add them to get 15. 10p and 48p do have letters, so we add those together and get 58p. We can't add that to the other numbers, because 58p is 58 times p, and 15 doesn't have that p so it wouldn't work without knowing p. What we are left with, by simplifying the problem, is 58p+15, or 15+58p. The order doesn't matter, as long as you have that answer.

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4 years ago

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A restaurant used 4 pounds of potatoes during a lunch rush. If they used 5/8 as much beef, how many pounds of beef did they used

nignag [31]

37/8 or 8 4/5
hope this helped

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3 years ago

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A lawn care company sells grass seed by the pound. There is one price per pound up to 5 pounds and a lower price per pound for e

VashaNatasha [74]

Answer: