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3 years ago

A train travels 150 miles in 3 hours. At this same rate, how many miles will it travel in 8 hours?

Mathematics

1 answer:

Dahasolnce [82]3 years ago

3 0

Answer:

400 miles

Step-by-step explanation:

150/3 = 50, 50 * 8 = 400

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When a bactericide is added to a nutrient broth in which bacteria are growing, the bacteria population continues to grow for a

baherus [9]

Answer:

a) 1296 bacteria per hour

b) 0 bacteria per hour

c) -1296 bacteria per hour

Step-by-step explanation:

We are given the following information in the question:

The size of the population at time t is given by:

$b(t) = 9^6 + 6^4t-6^3t^2$

We differentiate the given function.

Thus, the growth rate is given by:

$\displaystyle\frac{db(t)}{dt} = \frac{d}{dt}(9^6 + 6^4t-6^3t^2)\\\\= 6^4-2(6^3)t$

a) Growth rates at t = 0 hours

$\displaystyle\frac{db(t)}{dt} \bigg|_{t=0}= 6^4-2(6^3)(0) = 1296\text{ bacteria per hour}$

b) Growth rates at t = 3 hours

$\displaystyle\frac{db(t)}{dt} \bigg|_{t=3}= 6^4-2(6^3)(3) = 0\text{ bacteria per hour}$

c) Growth rates at t = 6 hours

$\displaystyle\frac{db(t)}{dt} \bigg|_{t=6}= 6^4-2(6^3)(6) = -1296\text{ bacteria per hour}$

3 0

4 years ago

What divided by 2 makes 9

Mariulka [41]

Answer:

It is 18

Step-by-step explanation:

18 divided by 2 is 9

'Hope this helps:)

4 0

3 years ago

Read 2 more answers

What fraction of 6 is 2 1/4 ?

SpyIntel [72]

Answer:

13 1/2

Step-by-step explanation:

this is surely the answer. 13.5

8 0

3 years ago

Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space

butalik [34]

Answer:

Step-by-step explanation:

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3 years ago

Rewrite this equation in Slope-intercept form<br> (PLEASE SHOW ALL WORK)

solniwko [45]

Y=3/2x - 1/5

have a great day :)

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3 years ago