Which set best describes the numbers used on the scale for a standard thermometer?A real numbers
B whole numbers
C integers
D rational numbers

The number of bacterial population after 5 hours is; 816

• The formula for the exponential growth of the population is;

N(t) = N_o(1 + r)^(t)

Where;

N(t) is number of bacteria after t hours

N_o is number of bacteria initially

r is growth rate

t is time

• We are given;

N_o = 480

r = 11.2% = 0.112

t = 5

• Thus;

N(5) = 480(1 + 0.112)^(5)

N(5) = 816.14

• Approximating to a whole number gives; N(5) = 816 bacteria

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Final answer:

The bacterial population after 5 hours with an exponential growth rate of 11.2% per hour and an initial population of 480 bacteria would be approximately 947.1 bacteria.

Explanation:

To calculate the bacterial population after 5 hours with an exponential growth rate of 11.2% per hour and an initial population of 480 bacteria, we can use the formula

P = P0 * (1 + r)^t.

P is the final population, P0 is the initial population, r is the growth rate expressed as a decimal, and t is the time in hours.

Using the given values, the formula becomes: P = 480 * (1 + 0.112)^5.

Solving this equation, the bacterial population after 5 hours would be approximately 947.1 bacteria.

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Answer:

Step-by-step explanation:

y = 10x + 50

x ---> no of weeks

y - intercept = 50

The question asks for the Conversion of Decimals to Fractions and to convert the repeating decimal 4.252525 into a fraction, we identify 25 as the repeating sequence. Hence, the fraction representation is 425/100. Converting this to a mixed number gives 4 25/100, which simplifies to 17/4.

The answer is 17/4.

Converting decimals to fractions involves transforming decimal numbers into fractional form. To do this, you typically place the decimal value over a power of ten, with the number of decimal places indicating the denominator. For instance, 0.75 becomes 75/100, which simplifies to 3/4 by dividing both the numerator and denominator by their greatest common factor. This process can be applied to any decimal, helping to represent them as fractions, making comparisons or calculations easier, especially in contexts like mathematics, engineering, and science.

The manufacturer's decimal cost needs to be converted into a fraction and a mixed number. For a repeating decimal like 4.252525, to convert it into a fraction, you would recognize the pattern that is repeating. In this case, 25 is repeating. We can express this repeating decimal as the fraction 425/100.

Next, to represent this fraction as a mixed number, you divide the numerator by the denominator. 425 divided by 100 equals to 4 remainder 25. So, the mixed number format would be  4 25/100. The fraction represents the same value as the repeating decimal and can be simplified to 17/4 in its simplest form.

Hence The answer is 17/4.

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Answer:

4 25/99 is the mixed fraction.

25/99 is the fraction