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Zanzabum
3 years ago
15

A culture of 100,000 bacteria triples every hour. How many bacteria were there 3 hours ago? (easy steps please)​

Mathematics
1 answer:
Crank3 years ago
5 0

Answer:

If it multiplies by 3 each hour, you would divide by three if you are looking for the first term. It is Geometric Sequence.

Step-by-step explanation:

100,000/3=33333.3333333 (1/3)

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A rectangle has vertices (8, 6), (4, 6), (8, −4), and (4, −4). What are the coordinates after dilating from the origin by a scal
Mama L [17]

Answer: (12,9), (6,9), (12,-6) and (6,-6)

Step-by-step explanation:

Given: The coordinates of the original rectangle are  (8, 6), (4, 6), (8, −4), and (4, −4).  We know that the coordinates of the image after dilation  from the origin by a scale factor of k is given by:_

(xy)\rightarrow(kx,ky)

Then, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are given by:_

(8, 6)→(8\times1.5,6\times1.5)=(12,9)

(4, 6)→(4\times1.5,6\times1.5)=(6,9)

(8, −4) →(8\times1.5,-4\times1.5)=(12,-6)

(4, −4)→(4\times1.5,-4\times1.5)=(6,-6)

Hence, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are (12,9), (6,9), (12,-6) and (6,-6).

3 0
3 years ago
Select the correct answer.
Sidana [21]

Answer:c

Step-by-step explanation:

when you set (x-6) and (x-1) to zero you get 6 and 1

8 0
3 years ago
What is the slope of the line that passes through the points (-4, 0) and (-4, -10)? Write your answer in simplest form.
Tresset [83]

Answer:

<h2>         There is no slope.</h2>

Step-by-step explanation:

slope=\dfrac{y_2-y_1}{x_2-x_1}

It means that for a line passing through two points to have the slope, the x-coordinates of these point have to be different.

(-4, 0) and (-4, -10) means x₁ = x₂ = -4, <u>so there is no slope.</u>

{the line is parallel to Y-axis, and has an equation:  x=-4}

4 0
3 years ago
The following statistics represent weekly salaries at a construction company.
11111nata11111 [884]

Answer:

The most common salary is $605. The salary that half the employees salaries surpass is $630. The percent of employees salary that serve because $700 is 75%. Percent of employees salaries that were less than $480 is 25%. The 9% percent of employees salaries this surpass $891 years. The total weekly salary of 104 employees is 57200.

Step-by-step explanation:

It is given that mean is $550, first quartile is $480,  median is $630, third quartile is $700,  mode is $605 and 91st percentile is $891.

First quartile is at 25% of the data, median is at 50% of the data, third quartile is at 75% of the data.

The mode of a set of data values is the value that occurs most often.

The most common salary is mode, therefore the most common salary is $605.

The salary that half the employees salaries surpass is $630. Because median is the half of the data.

The percent of employees salary that serve because $700 is 75%. Because $700 is third quartile.

Percent of employees salaries that were less than $480 is 25%. Because $480 is first quartile.

The percent of employees salaries this surpass $891 years is 9%. Because $891 is 91 percentile. Therefore 9% employees get more than $891.

If the company has 104 employees than the total salary of employees is

104\times 550=57200

because means is $550, therefore the total weekly salary of 104 employees is 57200.

8 0
3 years ago
Read 2 more answers
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule t
MissTica

Answer:

A) 99.7% of people have an IQ between 64 and 136.

B) 5% of people have an IQ score less than 76 or greater than 124.

C) 16% of people have an IQ score greater than 112.

Step-by-step explanation:

The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.

A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.

B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.

C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.

8 0
3 years ago
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