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mamaluj [8]
3 years ago
5

A certain colony of bacteria triples in length every 10 minutes, its length is now 1 millimeter. How long will it be in 40 minut

es?
Mathematics
1 answer:
Law Incorporation [45]3 years ago
3 0

Answer:

81 mm

Step-by-step explanation:

Now: 1 mm

In 10 minutes: 3 * 1 mm = 3 mm

In 20 minutes: 3 * 3 mm = 9 mm

In 30 minutes: 3 * 9 mm = 27 mm

In 40 minutes: 3 * 27 mm = 81 mm

Answer: 81 mm

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Which sets of numbers are closed under subtraction?
noname [10]
The answer is:

B.
rational numbers

Because if you perform subtraction in a set of rational numbers, the result you get would still be a rational number.

This does not apply to the other sets.
3 0
3 years ago
Are these two expressions equivalent?<br> 6 + 3 and 3 + 6
labwork [276]

Answer: Yes its equivalent

Step-by-step explanation:

6 + 3 =9 and 3 + 6= 9

9 = 9

You should know this smh

6 0
3 years ago
For each function, y varies directly with x. Find each constant of variation. Then find the value of y when x=-0.3
Viktor [21]

<u><em>Answer:</em></u>

1- The constant of variation is \frac{10}{3}

2- The constant of variation is \frac{4}{3}

<u><em>Explanation:</em></u>

When two variables are in direct variation, this means that when one of them increases, the other increases and vice versa

<u>A direct variation relation is represented as follows:</u>

y = kx

where k is the constant of variation

Now, to get the constant of variation, all we have to do is substitute with the given x and y variables and solve for k

<u>For the given problems:</u>

<u>1- y = \frac{2}{3}\ when\ x=0.2</u>

<u>Therefore:</u>

y = kx\\\\\frac{2}{3} = 0.2k\\\\ k = \frac{10}{3}

<u>2- y = 4\ when\ x=3</u>

<u>Therefore:</u>

y = kx\\ 4 = 3k\\ k = \frac{4}{3}

Hope this helps :)

5 0
3 years ago
To construct an interval estimate for the difference between the means of two populations when the standard deviations of the tw
kobusy [5.1K]

Answer:

C. (n₁ + n₂ - 2) degrees of freedom

Step-by-step explanation:

The t-test for difference between two mean when variance are equal is:

t=\dfrac{\bar{x}_1-\bar{x}_2}{s\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}

where ,

\bar{x}_1 = Mean of Sample 1

\bar{x}_2 = Mean of Sample 2

s = standard deviation

n_1 = size of Sample 1

n_2 = size of Sample 2

 and t is Student's t-test with (n₁ + n₂ - 2) degrees of freedom.

5 0
4 years ago
Write the number in standard notation. 9 × 10 to the power of 4
GaryK [48]

Answer:

90000

Step-by-step explanation:

9 x 10 (to the power of 4)

move the zeros to the right side four time, because the power of 4 is positive.

7 0
4 years ago
Read 2 more answers
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