All categories

4 years ago

What is the squae root of -16

Mathematics

1 answer:

tino4ka555 [31]4 years ago

5 0

Answer:

Step-by-step explanation:

sqrt(-16)

We know the sqrt (ab) = sqrt(a) sqrt(b)

sqrt(-16) = sqrt(16) sqrt(-1)

We know that the sqrt(-1) = i

= 4i

You might be interested in

Find the following.

alekssr [168]

A) The side length is 5 units since 5*5*5 = 125. You can guess and check to see which value multiplies with itself three times to get 125. Or you can take the cube root of 125 to get 5. You can type in 125^(1/3) to indicate you want the cube root of 125

b) The volume is 64 cubic units. Multiply the side length 4 by itself three times: 4*4*4 = 64.

7 0

3 years ago

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate

amid [387]

Answer:

It takes 7.37 hours for the size of the sample to double.

Step-by-step explanation:

Continuous exponential growth model:

The continuous exponential growth model for populations is given by:

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

In which P(0) is the initial population and r is the growth rate parameter, as a decimal.

Growth rate parameter of 9.4% per hour.

This means that $r = 0.094$

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

$P(t) = P(0)e^{0.094t}$

How many hours does it take for the size of the sample to double?

This is t for which P(t) = 2P(0). So

$P(t) = P(0)e^{0.094t}$

$2P(0) = P(0)e^{0.094t}$

$e^{0.094t} = 2$

$\ln{e^{0.094t}} = \ln{2}$

$0.094t = \ln{2}$

$t = \frac{\ln{2}}{0.094}$

$t = 7.37$

It takes 7.37 hours for the size of the sample to double.

7 0

3 years ago

(6v^3+42v)/(2v^2+26v+84)

Kisachek [45]

Answer:
_______________________________________________
The simplied version is:
_______________________________________________
" $\frac{3v(v^2+7)}{(v^2+13v+42)}$ " ;

or; write as: " $\frac{3v(v^2+7)}{(v+7)(v+6)}$ " .
_______________________________________________
Explanation:
_______________________________________________
Given:
_______________________________________________
" $\frac{6v^3 +42 v}{2v^2 +26v + 84}$ " ;
_______________________________________________
→ Factor out a "6v" $\frac{6v(v^2+7)}{2(v^2+13v+42)}$ in the "numerator"; & factor out a "2" in the denominator; as follows:
____________________________________
→ $\frac{6v(v^2+7)}{2(v^2+13v+42)}$ ;
____________________________________
→ " $\frac{3v(v^2+7)}{(v^2+13v+42)}$ " ;
______________________________________________

or; factor out the "denominator" :
______________________________________________
→ (v² + 13v + 42) = (v+7)(v+6) ;
______________________________________________
and write as:
______________________________________________
→ " $\frac{3v(v^2+7)}{(v+7)(v+6)}$ " .
______________________________________________

3 0

4 years ago

During a sale, $2 bars of soap were sold of a rate of 3 for $5. How much is saved on 9 bars ?

ANTONII [103]

You saved $12.6

3 divided by $5 = 0.6

0.6 x 9= $5.4

9 x $2 = $18

$18- $5.4= $12.6

3 0

4 years ago

Read 2 more answers

Show that the maximum rate of change, with respect to radius, of the volume of a deflating balloon is four times the sphere's in

dmitriy555 [2]

Step-by-step explanation:

Let's say R is the initial radius of the sphere, and r is the radius at time t.

The volume of the sphere at time t is:

V = 4/3 π r³

Taking derivative with respect to radius:

dV/dr = 4π r²

This is a maximum when r is a maximum, which is when r = R.

(dV/dr)max = 4π R²

This is 4 times the sphere's initial great circle area, but not the great circle circumference. The problem statement contains an error.

7 0

3 years ago