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3 years ago

What is the product of 10/2x300

Mathematics

1 answer:

Yuri [45]3 years ago

5 0

Answer:

1/60

Step-by-step explanation:

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A bacterial culture grows exponentially according to the function n(t)=n(e^n), where n(t) is the quantity after t hours and n is

mart [117]

Answer:

$n(t=2) = 2 e^{1.386294361(2)}=32 grams$

So then after 2 hours we will have 32 grams.

Step-by-step explanation:

For this case we have the followin exponential model:

$n(t) = n e^{rt}$

n(t) is the quantity after t hours, n is the original quantityand t represent the hours and r the rate constant.

For this case we know that n(0) = 2 grams and n(3) = 128 grams and we want to find n(2)=?

From the initial condition we know that n = 2, and we have the model like this:

$n(t) = 2 e^{rt}$

Now if we apply the other conditionn(3) = 128 we got:

$128 = 2 e^{3r}$

If we divide both sides by 2 we got:

$64= e^{3r}$

If we apply natural log for both sides we got:

$ln(64) = 3r$

$r = \frac{ln(64)}{3}=1.386294361$

And our model is this one:

$n(t) = 2 e^{1.386294361t}$

And if we replace t = 2 hours we got:

$n(t=2) = 2 e^{1.386294361(2)}=32 grams$

So then after 2 hours we will have 32 grams.

5 0

3 years ago

Find the value of A in the equation (5/a+3)=(3/A-2)

kolezko [41]

Solve for A:3 + 5/a = 3/A - 2
3 + 5/a = 3/A - 2 is equivalent to 3/A - 2 = 3 + 5/a:3/A - 2 = 3 + 5/a
Bring 3/A - 2 together using the common denominator A:(3 - 2 A)/A = 3 + 5/a
Multiply both sides by A:3 - 2 A = A (3 + 5/a)
Subtract (3 + 5/a) A + 3 from both sides:A (-5/a - 5) = -3
Divide both sides by -5/a - 5:Answer: A = 3/(5 + 5/a)

8 0

3 years ago

Step 1: Calculate the measures of center for Mrs. Hampton's data in the dot plot (round your answer to the nearest tenths place)

Deffense [45]

*dot plot is shown in the attachment below

Answer:

Mean = 6.3

Median = 6

Step-by-step explanation:

Measures of centre, mean and median, can be calculated as follows:

First, bear in mind that each dot represents a value in the data set.

==>Mean:

Mean is the sum of all values in the data set divided by the number of data set we have.

The sum can be calculated as follows:

0 (1) = 0

4 (3) = 12

5(8) = 40

6(3) = 18

7(1) = 7

8(5) = 40

9(2) = 18

10 (3) = 30

Sum = 0+12+40+18+7+40+18+30 = 165

No of data set = 26

Mean = 165/26 = 6.346 ≈ 6.3 (nearest tenth place)

==>Median: this is the middle value in the data set. Since the number of data set is even number (26) , the middle value lies between the 13th and 14th data points. The average of the 13th and 14th data points will give us the median value.

Thus, the 13th and 14th values are both 6.

Therefore, median = (6+6) ÷ 2 = 6