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agasfer [191]
2 years ago
6

Help me please i need step by step explanation to please

Mathematics
1 answer:
boyakko [2]2 years ago
7 0

Answer:

-80x + 24 (A)

Step-by-step explanation:

To solve this, we need to break the brackets. This is done by multiplying -8 to 10x and -3 to give us our final answer of -80x + 24.

So, the answer is A.

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8. How does a tree diagram give you the
Musya8 [376]

Answer:

Read below.

Step-by-step explanation:

The total number of branches end of the tree is the denominator of the fraction form of probability.

All the total possible outcomes in an organized list will give you a denominator because that's all the outcomes that can happen from that set of data.

5 0
3 years ago
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
2 years ago
Find the standard equation of a circle that passes through the point (−1, 1) with center (2, 3).
Firlakuza [10]
The equation of a circle is
  (x-h)² + (y-k)² = r²
for center (h, k) and radius r. Of course, the radius can be computed by putting the point in the equation.
  (x-2)² + (y-3)² = (-1-2)² + (1-3)² = 9+4 = 13

The standard equation of the circle is (x-2)² + (y-3)² = 13.

6 0
3 years ago
Jenny has been saving quarters in a piggy bank since she was born. She currently has 192 quarters in her piggy bank. She decides
Mrac [35]

Answer:

D) She has a total of $62 in the piggy bank.

Step-by-step explanation:

Jenny has been saving quarters in a piggy bank since she was born.

She decides to add 56 more quarters so that she can buy a $65 phone.

So she has 192 + 56 = 248 quarters currently.

1 quarter is equivalent to $0.25

248 quarters equals;

\frac{248}{1} × $0.25 = $62

So Jenny has a total of $62 in the piggy bank.

5 0
3 years ago
Explain why the mean without the outliner could be a better description of the data set than the mean with the outliner.
lions [1.4K]
Sometimes the outlier, if it's too large, can throw off the mean, making it larger and smaller, so it isn't as accurate

sorry if this doesnt make sense if you need me to explain it more I will
5 0
3 years ago
Read 2 more answers
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