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DaniilM [7]
3 years ago
13

A culture started with 5,000 bacteria. After 2 hours, it grew to 6,500 bacteria. Predict how many bacteria will be present after

18 hours. Round your answer to the nearest whole number.
Mathematics
1 answer:
lesya [120]3 years ago
7 0
This can be expressed as exponential growth of the form:

f=ir^t, f=final amount, i=initial amount, r=common ratio (rate), t=time

In this case we are given the point (2, 6500) and i=5000 so we can solve for the rate...

6500=5000r^2  divide both sides by 5000

1.3=r^2  take the square root of both sides and note that we know r>0

r=1.3^(1/2) so our equation becomes:

f=5000(1.3)^(1/2)^t  and knowing that (a^b)^c=a^(b*c) we can say:

f=5000(1.3)^(t/2)  so for t=18

f=5000(1.3)^9

f≈53022  (to nearest whole bacteria)
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lidiya [134]

Answer:

12

Step-by-step explanation:

A= (h)(b)/2 = 4×6/2=12

I got the six for the base and 4 for the height. You multiply 4×6 which is 24 and divide by 2 which is 12

8 0
3 years ago
Please help I don’t understand please!!!
Vaselesa [24]

Answer:

y>5.5

Step-by-step explanation:

4y+3>2y+14

Subtract 2y from both sides.

2y+3>14

Subtract 3 from both sides.

2y>11

Divide 2 by both sides.

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-hope it helps

7 0
2 years ago
Read 2 more answers
This week laptops are 25% off. If a laptop costs $340, what is its sale price?
Alexandra [31]

____________________________________________________

Answer:

Your answer would be $255

____________________________________________________

Step-by-step explanation:

To solve these kind of problems, what we have to do is find how much of 340 is 25%, and then subtract that number to the original price.

Let's give you some important information in the text:

  • 25% off
  • $340

With the information above, we can solve our problem.

First, we would need to find how much of 340 is 25%, and to do that, we would multiply 340 by 0.25:

340*0.25 = 85

When you solve, you should get 85. But, you're not done yet, we need to find out how much the sales price is, not how much of it is discounted.

In order to find the sales price, we would get our original number (the number it originally cost), and subtract it with the amount of money it's removing (85).

In this case, we would subtract 340 by 85.

340-85=255

Your FINAL answer should be 255

The sales price of the laptop would be $255.

____________________________________________________

5 0
3 years ago
Plz help will give brainliest!
natita [175]

Answer:

8.7

Step-by-step explanation:

4 0
3 years ago
Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 < t < 1.29). Round your answer to at least three deci
ss7ja [257]

Answer:

a) 0.76197086

b) -1.73406361

Step-by-step explanation:

a)

Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 < t < 1.29)

P(-1.29 < t < 1.29) would be the area under the t distribution curve with 7 degrees of freedom between -1.29 and 1.29, that is in the interval (-1.29, 1.29).

This can be done the old style by looking up in a table or by using the technology with a spreadsheet.

In Excel, the function TDIST(x,n,2) with x>0 gives the area outside the interval (-x, x) of the t distribution with n degrees of freedom.

So TDIST(1.29,7,2) gives the area outside (-1.29, 1.29).

If we subtract this value from 1 we get the desired result

Hence  

P(-1.29 < t < 1.29) = 1 - TDIST(1.29,7,2) = 1 - 0.23802914 = 0.76197086

In OpenOffice Calc, the function is the same replacing “,” with “;”  

That is

P(-1.29 < t < 1.29) = 1 - TDIST(1.29;7;2) = 0.76197086

b)

Consider a t distribution with 18 degrees of freedom. Find the value of c such that P(t≤ c) = 0.05

We are looking for a point c such that the area of the t distribution with 18 degrees of freedom to the left of c is 0.05

In Excel, the inverse function of TDIST is TINV.  

TINV(p*2,n) with p>0 gives the point c such that the area of the t distribution with n degrees of freedom to the right of c is p.  

Since <em>the t distribution is symmetric with respect to 0</em>, -c would be a point such that the area to the left of -c is p.

So we want to compute  in Excel

-TINV(0.05*2,18) = -1.73406361

In OpenOffice Calc  

-TINV(0.05*2;18) = -1.73406361

3 0
3 years ago
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