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erica [24]
3 years ago
8

POINTS POINTS POINTS POINTS POINTS! harder question! 45(34- 2)

Mathematics
2 answers:
koban [17]3 years ago
6 0
45(34 - 2)
Solve the stuff in the parenthesis first
45(32)
Multiply
1440

Have an awesome day! :)
Dovator [93]3 years ago
6 0

Answer:

answer is 1440,ok

Step-by-step explanation:

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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
A local vet wants to survey his clients about their satisfaction regarding the care their pet received. He groups all of the cli
babymother [125]

Answer: Stratified Random Sampling

Step-by-step explanation: Got it right

8 0
3 years ago
Read 2 more answers
Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?
lisov135 [29]
Your answer would be the last option, (6x² - 5)(x² + 2).
This is because when you expand it, you get:
6x² × x² = 6x⁴
6x² × 2 = 12x²
-5 × x² = -5x²
-5 × 2 = -10
Which are all the correct terms.

I hope this helps!
7 0
3 years ago
Read 2 more answers
What is the value of x ?
Hatshy [7]

Answer:

The value of x will be 2.5

LY will be 9 while KH will be 7.5

Step-by-step explanation:

Hope This Helped

6 0
2 years ago
The spinner is spun 300 times
Leona [35]

Answer:

A) 60

B) 0

C) 150

Step-by-step explanation:

A) P(green) = ⅕

⅕ × 300 = 60

B) since the purple never occured

P(purple) = 0

C) 1000 × (45/300)

150

3 0
3 years ago
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