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g100num [7]
3 years ago
7

A

Mathematics
1 answer:
kozerog [31]3 years ago
8 0

The following questions are related to problems on simple fraction and arithmetic. Hence, the solutions to the questions are as follows :

1.)

Time on mathematics =<em> 1 hour</em>

Time on science homework = <em>7/8</em><em> hours</em>

Total time spent = (1 + 7/8) = 1 \frac{7}{8}

2.)

Total number of students = <em>60</em>

Fraction of girls = <em>3/4</em>

Fraction of boys = 1 - 3/4 = 1/4

Number of boys = 1/4 × 60 = 15 boys

3.)

Initial temperature = <em>- 2°C</em>

Final temperature = <em>8°C</em>

Change in temperature = Final temperature - Initial temperature

Change in temperature = (8 - (-2)) = 8 + 2 = 10°C

4.)

Elevation of everest = <em>20028 feets </em>

Elevation of dead sea =<em> - 485 feets</em>

Difference in elevation = (20028 - (-485)) = 20513 feets

5.)

Question is missing key values.

Learn more : brainly.com/question/10483418

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Niklas takes a dose of 252525 micrograms (\text{mcg})(mcg)left parenthesis, m, c, g, right parenthesis of a certain supplement e
11Alexandr11 [23.1K]

Niklas takes a dose of 25 micrograms of a certain supplement each day. The supplement has a half life of 4 hours, meaning that 1/64 of the supplement remains in the body after each day. How much of the supplement is in Niklas's body immediately after the 12th dose? Round your final answer to the nearest hundredth.

Answer:

The amount of the supplement in Niklas body immediately after the 12th dose is 430 micrograms to the nearest hundreth

Step-by-step explanation:

Half life is the time required for an element to decay into half of its initial size.

Given that :

The supplement has a half life of 4 hours, this implies that  it decay to half of its size every 4 hours.

∴ there are 6 stages of division in a day.

i.e

\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2} =\dfrac{1}{64}

The amount of the supplement in Niklas body after the first dose (first day) can be calculated as:

=  \dfrac{1}{64} × 25

= 0.390625 micrograms

It is said that he used the supplement daily for 12 days (12th dose),

As such ; we can estimate the amount of the supplement that is in his body immediately after the 12th dose; which is calculated as:

amount in his body per day × number of period for complete decay

= 0.390625 × 11

= 4.296875

≅4.30 micrograms

= 430 micrograms to the nearest hundreth

The amount of the supplement in Niklas body immediately after the 12th dose is 430 micrograms to the nearest hundreth

3 0
3 years ago
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