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andrezito [222]
3 years ago
5

Scientist places 4 cells in a petri dish. Every hour, the cells divide in 2. How many cells are there after 9 hours?

Mathematics
1 answer:
katen-ka-za [31]3 years ago
5 0

Answer:

<u>2,048 cells</u>

Step-by-step explanation:

Number of cells after 1 hour = 4 * 2 = 8

Number of cells after 2 hours = 8 * 2 = 16

Number of cells after 3 hours = 16 * 2 = 32

Number of cells after 4 hours = 32 * 2 = 64

Number of cells after 5 hours = 64 * 2 = 128

Number of cells after 6 hours = 128 * 2 = 256

Number of cells after 7 hours = 256 * 2 = 512

Number of cells after 8 hours = 512 * 2 = 1,024

Number of cells after 9 hours = 1,024 * 2 = 2,048

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The area of a rectangular glass slab is 80 square centimeters and its perimeter is 36 centimeters. If the length and width of th
netineya [11]

First, you have to find out the values of the length and width.

Let l = length and w = width.

Set up your equation for area: l * w = 80

Set up your equation for perimeter: 2l + 2w = 36

We can use substitution for this problem, so find out the value of l or w. In this case, I will use the first equation to find out the value of l.

(Divide w on both sides) l = 80 / w

Since I know that l = 80 / w, I can substitute it into the second equation.

2l + 2w = 36, and l = 80 / w

= 2 (80/w) + 2w = 36

Simplify the equation.

= 160/w + 2w = 36

Get rid of the w in the denominator by multiplying the entire equation by w.

= ( 160/w + 2w = 36 ) * w

= 160 + 2w^{2} = 36w

= 2 ( w - 8 ) ( w - 10 )

The solutions for width (w) is 8 or 10. Then, you can use both 8 and 10 as your length and width, either or is fine. Multiply by 4 for each of those values and you get 8 x 4 = 32 and 10 x 4 = 40. The new perimeter would be 2(32) + 2(40) =

a. 144 cm

Hope this helped you! Let me know if there are any confusions :)


4 0
3 years ago
<img src="https://tex.z-dn.net/?f=4%5E%7B%5Cfrac%7B-5%7D%7B2%7D%20%7D" id="TexFormula1" title="4^{\frac{-5}{2} }" alt="4^{\frac{
photoshop1234 [79]

Answer:

Given expression is equal to  1/32

Step-by-step explanation:

Given that:

= 4^(-5/2)

To eliminate "-" sign we will invert the fraction as follows:

= (1/4)^ 5/2

Or it can be written as:

= =\sqrt{(1/4)^5} \\=\sqrt{1/1024} \\=1/32

This is the simplified expression.

i hope it will help you!

8 0
3 years ago
In a binomial experiment with 45 trials, the probability of more than 25 success can be approximated by What is the probability
Pani-rosa [81]

Answer:

0.6 is the probability of success of a single trial of the experiment

Complete Problem Statement:

In a binomial experiment with 45 trials, the probability of more than 25 successes can be approximated by P(Z>\frac{(25-27)}{3.29})

What is the probability of success of a single trial of this experiment?

Options:

  • 0.07
  • 0.56
  • 0.79
  • 0.6

Step-by-step explanation:

So to solve this, we need to use the binomial distribution. When using an approximation of a binomially distributed variable through normal distribution , we get:

\mu =\frac{np}{\sigma}=\sqrt{np(1-p)}

now,

Z=\frac{X-\mu}{\sigma}

so,

by comparing with P(Z>\frac{(25-27)}{3.29}), we get:

μ=np=27

\sigma=\sqrt{np(1-p)} =3.29

put np=27

we get:

\sigma=\sqrt{27(1-p)} =3.29

take square on both sides:

10.8241=27-27p

27p=27-10.8241

p=0.6

Which is the probability of success of a single trial of the experiment

5 0
3 years ago
Graph F(x)=32x+2. Please
olga2289 [7]

Answer:

The required graph is shown below:

Step-by-step explanation:

Consider the provided graph f(x)=32x+2

The above function is a linear function.

We can draw the graph of the linear function with the help of two points.

Substitute x = 0 in f(x)=32x+2

f(0)=32(0)+2

f(0)=2

Hence, the coordinates are (0,2)

Substitute f(x) = 0 in f(x)=32x+2

0=32x+2

32x=-2

x=-0.0625

Hence, the coordinates are (-0.0625,0)

Now join the above points.

The required graph is shown below:

5 0
3 years ago
Read 2 more answers
How do you calculate the LCM for 128 and 256​
Neporo4naja [7]

Answer:

I think its 256

Step-by-step explanation:

The LCM of 128 and 256 is 256. Steps to find LCM. Find the prime factorization of 128 128 = 2 × 2 × 2 × 2 × 2 × 2 × 2; Find the prime factorization of 256.

6 0
2 years ago
Read 2 more answers
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