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anzhelika [568]
3 years ago
5

10. Y is the midpoint between points X and Z. If Y has a coordinate of (6,4) and Z has a coordinate of

Mathematics
1 answer:
inysia [295]3 years ago
3 0

Answer 10:

<em>X </em>= (5,0)

Answer 11:

<em>AB</em> = 11.18

Answer 12:

<em>N/A</em>

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
Need help with this
harina [27]

Answer:

Qu. 8 = A (50) = 25w  as 125w x 125l = Area ; this because perimeter 500ft would always be a 3:5 ratio to the larger area. Therefore perimeter is 125+125 +125 +125 and = 500ft. However we can prove if 125 is any length or width then A(50)= 1/5 = 25   Qu 9)= I think last 2 are a function. Qu 10) Answer B is correct.

Step-by-step explanation:

5 0
3 years ago
PLEASE I NEED HELP AND HURRY!
kirza4 [7]

Answer:

95 degrees

Step-by-step explanation:

A and C are acute angles and D is too much

4 0
3 years ago
PQ is bisected at point R by MN. Which of the following I true about point R.
Stella [2.4K]

Answer:

C. R is the midpoint of PQ.

Step-by-step explanation:

Given that segment PQ is bisected at point R by MN.

It means PQ is divided into two parts at point R by the segment MN.

That is, PR = RQ

Hence, R is the midpoint of PQ.

It is not given that the segment MN is bisected by PQ.

So, R need not be the midpoint of MN.

Please refer to the attached figure for better understanding.

7 0
3 years ago
Read 2 more answers
Which answer choice shows 87.962 written in expanded form?
juin [17]
The answer for this is C
6 0
2 years ago
Read 2 more answers
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