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yan [13]
3 years ago
12

What is x in the problem x divided by (-2)=-3

Mathematics
1 answer:
larisa [96]3 years ago
3 0

Answer:

x =6

Step-by-step explanation:

x / -2 = -3

Multiply each side by -2

-2* x/-2 = -3 * -2

x = 6

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MCR3U1 Culminating 2021.pdf
11111nata11111 [884]

Answer:

(a) y = 350,000 \times (1 + 0.07132)^t

(b) (i) The population after 8 hours is 607,325

(ii) The population after 24 hours is 1,828,643

(c) The rate of increase of the population as a percentage per hour is 7.132%

(d) The doubling time of the population is approximately, 10.06 hours

Step-by-step explanation:

(a) The initial population of the bacteria, y₁ = a = 350,000

The time the colony grows, t = 12 hours

The final population of bacteria in the colony, y₂ = 800,000

The exponential growth model, can be written as follows;

y = a \cdot (1 + r)^t

Plugging in the values, we get;

800,000 = 350,000 \times (1 + r)^{12}

Therefore;

(1 + r)¹² = 800,000/350,000 = 16/7

12·㏑(1 + r) = ㏑(16/7)

㏑(1 + r) = (㏑(16/7))/12

r = e^((㏑(16/7))/12) - 1 ≈ 0.07132

The  model is therefore;

y = 350,000 \times (1 + 0.07132)^t

(b) (i) The population after 8 hours is given as follows;

y = 350,000 × (1 + 0.07132)⁸ ≈ 607,325.82

By rounding down, we have;

The population after 8 hours, y = 607,325

(ii) The population after 24 hours is given as follows;

y = 350,000 × (1 + 0.07132)²⁴ ≈ 1,828,643.92571

By rounding down, we have;

The population after 24 hours, y = 1,828,643

(c) The rate of increase of the population as a percentage per hour =  r × 100

∴   The rate of increase of the population as a percentage = 0.07132 × 100 = 7.132%

(d) The doubling time of the population is the time it takes the population to double, which is given as follows;

Initial population = y

Final population = 2·y

The doubling time of the population is therefore;

2 \cdot y = y \times (1 + 0.07132)^t

Therefore, we have;

2·y/y =2 = (1 + 0.07132)^t

t = ln2/(ln(1 + 0.07132)) ≈ 10.06

The doubling time of the population is approximately, 10.06 hours.

8 0
3 years ago
Please help with the question 2 to 18
vladimir1956 [14]
Since these questions all require similar methods of solving, I will only completely work out the first question of each type.

2. To find \frac{7}{10}as a decimal, all we need to do is complete the fraction by dividing the numerator by the denominator.

\frac{7}{10} = 7 / 10 = 0.7

\frac{7}{10} as a decimal is 0.7.

3. To write a fraction as a percentage, we must first convert it into a decimal, the way we did in problem 2.

\frac{13}{20} =0.65

Then to change that number into a percentage, we can either multiply it by 100, or (my personal shortcut) just shift the decimal point over two places to the right.

0.65 = 65%

which is the answer to question 3.
\frac{13}{20} written as a percent is 65%.

4. Writing a percentage as a fraction is a bit easier than writing a fraction as a percentage. All you need to do is place the percentage in the numerator's place of a fraction with 100 as the denominator and simplify.

2%5 = \frac{25}{100}

Since 25 goes into 100 four times, we can simplify this fraction.

\frac{25}{100} = \frac{1}{4}

which is our answer.

25% written as a fraction is \frac{1}{4}.

5. This is the same as problem 3, so I won't show my work for the sake of time.

\frac{2}{5} as a percentage is 40%.

6. This is the same as problem 1, so I will not show steps again.

\frac{3}{20} as a decimal is 0.15.

7. Done similar problems in past. No work shown.

\frac{21}{50} as a percent is 42%.

8. Same as last problem.

\frac{1}{25} as a percent is 4%.

9. Same as number 4.

 6% as a fraction is \frac{3}{50}.

10. Similar in past.

\frac{3}{5} as a percentage is 60%.

11. Same as 6.

\frac{12}{25} as a decimal is 0.48.

12. Done a lot of these so far.

\frac{3}{10} as a percentage is 30%.

13. Just did one like this.

\frac{3}{4} as a percentage is 75%.

14. Same as 4 and 9.

65% as a fraction is \frac{13}{20}.

15. Plenty of these done in past.

\frac{1}{5} as a percentage is 20%.

16. Last problem, and it's just like the one just before this.

\frac{9}{10} written as a percent is 90%.

So there are the results.
Hope that helped! =)
6 0
2 years ago
Read 2 more answers
What should be done to both sides of the equation in order to solve -5m=-40
irina1246 [14]

Answer:

divide each side by -5

Step-by-step explanation:

-5m = -40

divide each side by -5

-5m/-5 = -40/-5

m = 5


3 0
2 years ago
Read 2 more answers
C.J bought a bag of birdseed for 4.25 he paid with a 5.00 bill.How much change did he get back.
ruslelena [56]
The answer is .75 if you have 5.00 and You Spent 4.25 So 4 Quarters Is A Dollar if you take a quarter. away from that 4.00 you will end up with .75 cents from the 5.00
8 0
3 years ago
Find the probability of rolling a prime number on the first die and even number on the second
Zinaida [17]

Answer:

0.25

Step-by-step explanation:

Prime outcomes on a die: 2,3,5

P(prime) = 3/6 = 1/2

Even outcom: 2,4,6

P(even) = 3/6 = 1/2

P(prime & even)

= P(prime) × P(even)

= ½ × ½

= ¼ or 0.25

4 0
3 years ago
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