All categories

2 years ago

5 questions in one please separate answers!

Mathematics

1 answer:

Nady [450]2 years ago

3 0

Answer:

D, for question 5 (marble problems)

Step-by-step explanation:

Your given 6 red, 6 white, and 8 blue marbles, you add the 6+6+8 to get a total of 20 marbles! Then it says you select one blue marble, do not return and select another that means you would first have 8/20 (fraction) times 7/19. 8 times 7 is 56, and 19 times 20 is 380, then you simpfly the fraction 56/380 to 14/95.

You might be interested in

Which pair of numbers is relatively prime?

Vilka [71]

Answer:

A. 143 and 63

8 0

4 years ago

Read 2 more answers

A school requires 2 computers for every 5 students. If a school has 145 students, how many computers do they need?

defon

Step-by-step explanation:

145/5=23

23×2=46 computers

4 0

3 years ago

A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium d

qwelly [4]

Answer:

Step-by-step explanation:

Given that,

Cells are divided into two cell every 20mins, this implies that the half-life is 20mins

Initial population growth is 60cells

Growth rate r?

Population growth is modeled as

P(t) = Po•exp(rt)

Where,

Po is the initial growth at t= 0

Po= 60

P(t) is population at any time t.

Since the population doubles every 20mins(⅓hr)

Then, P(⅓) = 2×60 =120

Then, P(t) = 120cells

So, applying the formula

P(t) = Po•exp(rt)

120 = 60•exp(⅓r)

120/60 = exp(r/3)

2 = exp(r/3)

Take In of both sides

In(2) = r/3

Cross multiply

r = 3In(2)

r = 2.079 /hour

The growth rate is 2.079/hour.

7 0

3 years ago

Solve:

ZanzabumX [31]

Answer:

distribute,

Step-by-step explanation:

8+12+1 3/5x=-12

20+1 3/5x=-12

1 3/5x=8

x=5

5 0

4 years ago

Read 2 more answers

The wind is blowing N 35.0 degrees W at 1.60 * 10^2 mph. A plane has an engine speed of 3.20 * 10^2 mph. Where should the pilot

andreyandreev [35.5K]

Answer: 24.2° SouthWest

Step-by-step explanation:

First step: DRAW A PICTURE of the vectors from head to tail (see image)

I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.

Perpendicular (x):

cos 35° = adjacent/hypotenuse

cos 35° = x/160

→ x = 160 cos 35°

Angle (θ):

sin θ = opposite/hypotenuse

sin θ = x/320

sin θ = 160 cos 35°/320

θ = arcsin (160 cos 35°/320)

θ = 24.2°

Direction is down (south) and left (west)

7 0

3 years ago