MATHEMATICS
HIGH SCHOOL

Answer: X is the original number of geese

1pm: (1/5)x fly away ----- remaining (4/5)x

2pm: (1/8) (4/5)x fly away ----- remaining (7/10)x

3pm: 3(1/5)x fly away -------- remaining (1/10)x

(1/10)x= 32

x=320

1pm: (1/5)x fly away ----- remaining (4/5)x

2pm: (1/8) (4/5)x fly away ----- remaining (7/10)x

3pm: 3(1/5)x fly away -------- remaining (1/10)x

(1/10)x= 32

x=320

COLLEGE

A box contains 15 resistors. twelve of them are labelled 50ω and the other three are labeled 100ω. what is the probability that the second resistor is 100ω, given that the first resistor is 50ω?

Answer : P(second resistor is 100ω , given that the first resistor is 50ω) is given by

Explanation :

Since we have given that

Total number of resistors =15

Number of resistors labelled with 50ω = 12

Number of resistors labelled with 100ω =3

Let A: Event getting resistor with 50ω

B: Event getting resistor with 100ω

Since A and B are independent events .

So,

Now, According to question , we can get that

So,

So, by using the conditional probability , which state that

So, P(second resistor is 100ω , given that the first resistor is 50ω) is given by

MIDDLE SCHOOL

liquid A has a density of 1.4 g/mL , liquid B has a density of 5.9 g/mL and liquid c has a density of 3.2 g/ mL. arrange the three liquids ina density column ( explain your answer)

Liquid B

Liquid C

Liquid A

Because the denser layers sink and the less dense layers float to the top, just like oil and water, the water is more dense than the oil, that is why the oil floats to the top and the water remains at the bottom:))

HIGH SCHOOL

A circle has a diameter of 2.5 ft. What is the area of the circle, rounded to the nearest tenth?

Use 3.14 for π.

A = pi * r^2

D = 2.5 so r = 1.25

A = 3.14 * 1.25^2

A = 4.9 ft^2

D = 2.5 so r = 1.25

A = 3.14 * 1.25^2

A = 4.9 ft^2

COLLEGE

A bacteria culture is initially 10 grams at t=0 hours and grows at a rate proportional to its size. After an hour the bacteria culture weighs 11 grams. At what time will the bacteria have tripled in size?

A bacteria culture is initially 10 grams at t=0 hours & grows at a rate proportional to its size , After an hour the bacteria culture weighs 11 grams , The bacteria takes 11.56 hours to have tripled in size.

To find the time of bacteria when increasing the growth to tripled.

Given : when time=0 hours , weight=10 grams.

when time=1 hours , weight=11 grams.

To find: when time= ? hours , weight=30grams.

Here according to question, initial size = 10 grams we have asked for tripled in size i.e. 30 grams.

Now we knows that,

The formula for exponential growth in population or size is

where,

Now, we put the value in formula we get,

Now when the bacteria increase its size to triple

Then, according to the formula we substitute values in the formula,

Therefore, The bacteria takes 11.56 hours to have tripled in size.

Learn more about logical questions here : brainly.com/question/15046576

Answer: It will take 11.56 hours .

Step-by-step explanation:

Exponential growth in population or size formula :

, where = initial size

r= rate of growth

t= time period

As per given , we have

grams

At t= 1 , P(t)= 11 grams

Then,

When, the bacteria have tripled in size , P(t) = 3 x10 = 30

Then,

Hence, it will take 11.56 hours .