The graph shows the relationship between time, in hours, and the population, in thousands of a culture of bacteria. +
45
40
35
30
Population
25
20
15
10
5
0 1 2 3 4 5 6 7 8
Time (hours)
which statement describes the meaning of the point (010) on the graph?
A After 10 hours there are 10.000 bacteria.
B. After 10 hours there are no more bacteria
C The population began with 10,000 bacteria
D. The population is multiplying itself by 10 each hour

Option (C)

Step-by-step explanation:

From the graph attached in the picture,

Graph shows the relationship between time and the population of a culture of bacteria.

Option (A).

After 10 hours there are 10000 bacteria.

Since, at t = 0, number of bacteria = 10000.

False.

Option (B).

After 10 hours there are no more bacteria.

Since, from the given graph bacteria population is increasing exponentially every hour.

Therefore, from t = 0, where the population was 10000, bacteria will be much more in the numbers.

False.

Option (C).

The population began with 10000 bacteria.

True.

Option (D).

The population is multiplying itself by 10 each hour.

Since, growth is exponential therefore, bacteria population is growing faster.

False.

Option (C) is the answer.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°