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2 years ago

Calculate the quotient below and give your answer in scientific notation. 0.00065/5*10^-2

Mathematics

1 answer:

swat322 years ago

7 0

Answer:

1.3x10^-6

Step-by-step explanation:

Use a calculator.

0.00065/5 will give you 0.00013 which can be written as 1.3x10^-4 and multiply that by 10^-2, you will add the exponents -4+-2 and get -6 as your new exponent, ending with 1.3x10^-6

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A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t

Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

$\frac{dP}{dt} =4.058e^{1.6t}$

$dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)$

Where k is a constant of Integration.

At t=0, P(t)=36

$36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19$

Therefore:

$P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560$

3 0

3 years ago

Please help me do the equation and figure out the right solution. I am supposed to be correcting the one in the picture.

alexira [117]

Answer:

The correct answer is if you want no roots in the denominator, the correct answer is $\frac{2x}{y}$ * $\sqrt[3]{2y^{2} }$

Step-by-step explanation:

The mistake is that you can't take a cube root of a square at step 3 when $y^{2}$ is taken out.

5 0

1 year ago

What is the value of k?

ELEN [110]

Answer:

10°

Step-by-step explanation:

According remote interior angles, 4k + 5 + 6k + 10 = 115.

10k + 15 = 115

10k = 100

k = 10

Hope this helps :)

Have a nice day!

4 0

2 years ago

Read 2 more answers

Shannon's family is going to install a custom swing set in the backyard. There are 5 kinds of swings and 3 kinds of slides, and

asambeis [7]

Answer:

15 different swing sets

Step-by-step explanation:

The swing set is composed by one swing and one slide.

There is 5 different types of swing, so there are 5 possibilities to fill the one swing we need.

There are 3 different types of slides, so there are 3 possibilities to fill the one slide we need.

So, to find the total number of swing sets, we just need to multiply the swing possibilities and the slide possibilities:

Number of sets = 5 * 3 = 15 different sets

8 0

3 years ago

Determine the scale factor for each dilation. Determine whether the dilation is an enlargement, reduction, or congruence transfo

scoray [572]

General Idea:

W hen we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)

When $k>1$ , then P' is enlargement of P

When $0 < k < 1$ , then P' is reduction of P

Applying the concept:

In the diagram given A'B'C' is enlargement of ABC. So the correct option will be option A. $k = 2$ , enlargement

6 0

2 years ago