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3 years ago

You roll a standard number cube once. Find P(number greater than o).

Mathematics

1 answer:

pav-90 [236]3 years ago

3 0

Answer:

6/6

Step-by-step explanation:

If a standard number cube has six sides and all the numbers are larger than 0 you have a 6/6 chance

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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

Given that (9,-8) is on the graph of f(x), find the corresponding point for the function f(x-2)

MrRa [10]

Answer:

(11,-8)

Step-by-step explanation:

f(x-2) determines a horizontal translation 2 units to the right. Since (9,-8) is the point for f(x) then f(x-2) will be the point (11,-8) where 9 has moved two units to the right 11.

4 0

3 years ago

Someone Help Me Pleaseee

Vedmedyk [2.9K]

Answer:

-3

Step-by-step explanation:

-1 -2 = -3

6 0

3 years ago

Solve:<br> Square root of 108 + square root of 3

Gre4nikov [31]

Answer:

12.124355653

Step-by-step explanation:

don't know if you need to round but square root of 108 is 10.3923048454 and square root of 3 is 1.73205080757

5 0

4 years ago

A contractor digs a hole for the basement of a new house that is 40 feet long and 10 1/2 feet deep. What is the width of the hol

Ksju [112]

Volume = L * W * D 6,510
= 40 * W * 10.5
W = 6,510/(40 * 10.5)
= 15.5 ft
hope this helps

9 0

3 years ago