First, add hours until the difference is less than an hour. You can add 3 hours on to make it 9:32 p.m. Then, add minutes on until it's the exact time. from 9:32 to 9:48, you can add 16 minutes, so the total time in the movie was 3 hours, 16 minutes.

7 0

3 years ago

I need help to solve this and also Hearn will the bacteria be over 100,000

lapo4ka [179]

Hello! Let's look at the two parts of this question.

Complete the table:

In this case, you just substitute the value of "hour" into the equation, for the value of t. For example:

P(0) = 120 $(2)^{0}$

P(0) = 120 (1)

P(0) = 120

Therefore, the number of bacteria for hour 0 is 120.

You can do this for the next ones. Hour 1 = 240, hour 2 = 480, and so on. (In this case, you can keep multiplying by 2)

Estimate when there will be more than 100,000 bacteria:

Set the final value of P(t) = 100,000, then solve.

100,000 = 120 (2 $)^{t}$

833.33 = (2 $)^{t}$

t = $log_{2}833.33$

t = 9.702744108

So your answer would be around 9.7 years, or, around 10 years.

Hope this helps!

3 0

3 years ago

A thread is wound 200 times round a reel of diameter 5 cm. Use the value 3 for it to find the approximate length of the thread i

Radda [10]

Answer:

Length of the thread = 30 metres

Step-by-step explanation:

Length of the thread in one round of a reel = Circumference of the reel

C = $2\pi r$

Since radius of the reel = $\frac{\text{Diameter}}{2}$

= $\frac{5}{2}$

= 2.5 cm

Circumference of the reel = 2(π)(2.5)

= 5π

= 5×3

= 15 cm

Length of the thread wound in one round around the reel = 15 cm

Since, thread is wound 200 times round a reel, length of the thread

= 200 × 15

= 3000 cm

≈ 30 metres

Therefore, Option (B) will be the answer.

0 0

3 years ago