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3 years ago

Write \sqrt{-27} −27 in simplest radical form.

Mathematics

1 answer:

N76 [4]3 years ago

7 0

Answer:

im not sure if sqrt of -27 by it self or over -27 but anyways.

sqrt{-27} = 3i(sqrt)3

sqrt{-37}/(-27) = - i(sqrt)3/9

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Find the net change in the value of the function between the given inputs. h(t) = t2 + 2; from −5 to 8

pashok25 [27]

Answer:

Step-by-step explanation:

Given the function :

h(t) = t² + 2

From t = 5 to t = 8

when, t = 5

h(5) = 5² + 2

h(5) = 25 + 2

h(t) at t = 5 ; equals 27

when, t = 8

h(5) = 8² + 2

h(5) = 64 + 2

h(t) at t = 8 ; equals 66

Net Change :

h(8). - h(5)

66 - 27 = 39

3 0

3 years ago

What is -1 3/5 / (-2/3)

12345 [234]

Answer:

To make that easier to follow you are asking "what is

-(8/5) divided by -(2/3)? That equals

-(8/5) multiplied by -(3/2) which equals

24 / 10 = 12 / 5 = 2.4

Step-by-step explanation:

7 0

4 years ago

Suppose that a Petri dish initially contains 2000 bacteria cells. An antibiotic is introduced and after 4 hour, there are now 16

Sergeu [11.5K]

Answer:

a)The linear function for $P(t)$ is:

$P(t) = 2000 - 100*t$

b)The exponential function for $P(t)$ is:

$P(t) = 2000e^{-0.055t}$

Step-by-step explanation:

(a) Suppose that P(t) is a linear function. Find a formula for P(t):

$P(t)$ can be modeled by a linear function in the following format.

$P(t) = P_{0} - r*t$ , in which $P_{0}$ is the initial number of bacteria cells in the dish, t is the time and r is the rate that the number decreases.

Since the dish initially contains 2000 bacteria cells, $P_{0} = 2000$

We have

$P(t) = 2000 - r*t$

An antibiotic is introduced and after 4 hour, there are now 1600 bacteria cells present. So $P(4) = 1600$ . With this information, we can find the value of r.

$P(t) = 2000 - r*t$

$1600 = 2000 - r*(4)$

$4r = 400$

$r = \frac{400}{4}$

$r = 100$

So, the linear function for $P(t)$ is:

$P(t) = 2000 - 100*t$

b) Suppose that P(t) is an exponential function. Find a formula for P(t)

$P(t)$ can also be modeled by an exponential function in the following format:

$P(t) = P_{0}e^{rt}$

The values mean the same as in a). We use the fact that $P(4) = 1600$ to find r.

$P(t) = 2000e^{rt}$

$1600 = 2000e^{4r}$

$e^{4r} = \frac{1600}{2000}$

$e^{4r} = 0.8$

$ln e^{4r} = ln 0.8$

$4r = -0.22$

$r = \frac{-0.22}{4}$

$r = -0.055$

So, the exponential function for $P(t)$ is:

$P(t) = 2000e^{-0.055t}$

5 0

4 years ago

The units for the lines of longitude are measured in.

Sladkaya [172]

The unit of measurement for latitude and longitude is called a degree, which is indicated by a small circle to the upper left after a latitude or longitude is given (ex. 90°).

4 0

2 years ago

Plz help ASAP plz!!!

Dennis_Churaev [7]

Answer:

it is five units

Step-by-step explanation:

6 0

3 years ago

Write \sqrt{-27} −27 ​ in simplest radical form.

Write \sqrt{-27} −27 in simplest radical form.