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Yanka [14]
3 years ago
15

Jonathan is using the microscope in lab. He saw a chain of bacteria that was 10 millimeters long,

Mathematics
1 answer:
AysviL [449]3 years ago
6 0

We have been given that Jonathan is using the microscope in lab. He saw a chain of bacteria that was 10 millimeters long. We are asked to find the length of chain of bacteria in centimeters.

We know that 1 millimeter is equal to 0.1 centimeter.

To convert 10 milllimeters into centimeters, we will multiply 10 by 0.1.

\text{Length of bacteria in cm}=10\text{ mm}\times \frac{0.1\text{ cm}}{\text{1 mm}}

\text{Length of bacteria in cm}=10\times 0.1\text{ cm}

\text{Length of bacteria in cm}=1\text{ cm}

Therefore, the chain of the bacteria is 1 cm long.

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True or False: The value of r represents the reference angle when plotting a point in polar coordinates.
Anarel [89]
The answer to the statement above would be false. The value of r does not represent the reference angle when plotting a point in polar coordinates. Instead, it represents the polar distance instead of the angle. The reference angle is represented by <em>t.</em>
8 0
3 years ago
Read 2 more answers
An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000,
Fynjy0 [20]

Answer:

C. $118,000 and $110,000, respectively.

Step-by-step explanation:

Please consider the complete question.

An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000, respectively. The power consumption per year of machines A and B are 120 MWh and 100 MWh, respectively. The power cost is $40/MWh. The estimated operating and maintenance cost over 10 years is $30,000 for machine A and $20,000 for machine B.

First of all, we will find the amount spent on power consumption for 10 years by each machine as:

\text{Machine A}=10\cdot 120(\$40)\\\text{Machine A}=\$48,000

\text{Machine B}=10\cdot \$100(\$40)\\\text{Machine A}=\$40,000

Now, we will find overall cost of machines A and B by adding initial cost, power consumption for 10 years and maintenance cost as:

\text{Overall cost of machine A}=\$40,000+\$48,000+\$30,000

\text{Overall cost of machine A}=\$118,000

\text{Overall cost of machine B}=\$50,000+\$40,000+\$20,000

\text{Overall cost of machine B}=\$110,000

Therefore, the overall cost of machines A and B are $118,000 and $110,000, respectively and option C is the correct choice.

6 0
3 years ago
The perimeter of an equilateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x. Equilateral me
vladimir2022 [97]

Answer:

Step-by-step explanation:

3*(4x - 3) = 63                         Divide both sides by 3

4x - 3 = 63/3

4x - 3 = 21                                Add 3 to both sides

4x = 21 + 3

4x = 24                                    Divide by 4 on both sides

4x/4 = 24/4

x = 6

Note: The perimeter is the sum of all three sides. One side is 4x - 3 All 3 sides must be 3*(4x - 3)

3 0
2 years ago
A cylindrical tank has a radius of 15 feet and a height of 45 feet. How many cubic feet of water can the tank hold?
ch4aika [34]
\bf \textit{volume of a cylinder}\\\\&#10;V=\pi r^2 h\quad &#10;\begin{cases}&#10;r=15\\&#10;h=45&#10;\end{cases}\implies V=\pi \cdot 15^2\cdot 45
3 0
3 years ago
Given that for simplicity that the number of children in a family is 1, 2, 3, or 4, with probability 1/4 each. Little Joe (a boy
horsena [70]

Answer: \dfrac{1}{4}

Step-by-step explanation:

Given : The number of children in a family is 1, 2, 3, or 4.

Little Joe (a boy) has no brothers. But he may have sisters.

The sample space for the number of child in Joe's family : {B, BG, BGG, BGGG}, where G represents girl and B represents boys.

Then , for the probability that he is an only child, favorable outcome = B

Thus, the probability that he is an only child is given by :-

=\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}=\dfrac{1}{4}

Hence, the probability that he is an only child = \dfrac{1}{4}

5 0
3 years ago
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