1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sveticcg [70]
3 years ago
11

The volume of one of the Great Lakes is 3.5 × 103 cubic kilometers. If there are 6.3 × 107 fish in the lake, what is the average

number of fish per cubic kilometer?
Mathematics
1 answer:
kakasveta [241]3 years ago
7 0
=1.8x10^4
given
volume of great lakes=3.5x10^3
number of fish in the lake= 6.3x10^7
divide 6.3x10^7 and 3.5x10^3
=1.8x10^4 fish per cubic kilometer
You might be interested in
A dog sits at a corner of a square with side length 44 meters. the dog runs 10 meters along a diagonal toward the opposite corne
wlad13 [49]

Refer to the figure given below while reading the solution.

Suppose the dog reaches position A when traveled 10 m diagonally towards the opposite side.

And then position B when traveled 5 m towards the right turning 90°.

We can observe that APC is a right triangle with legs of equal length AC. And the coordinates of the point A is (AC, AC).

Also we can observe that APB is a right triangle with legs of equal length AD. Then the coordinates of the point D is (AC, AC-AD).
Hence, the coordinates of B will be (AC+AD, AC-AD).

Now, we since we have the coordinates we can calculate the shortest distances of B from each of the sides.

  1. The shortest distance of B from PQ = AC-AD
  2. The shortest distance of B from SR = 44-(AC-AD)
  3. The shortest distance of B from SP = AC+AD
  4. The shortest distance of B from RQ = 44-(AC+AD)

So, the average of the shortest distances of B from each side is \frac{(AC-AD)+44-(AC-AD)+(AC+AD)+44-(AC+AD)}{4}=\frac{44+44}{4}=22

Hence, the average of the shortest distance of B from each side is 22 m

Learn more about average here-

brainly.com/question/24057012

#SPJ10





7 0
1 year ago
Gambling at a slot machine is an example of which reinforcement schedule?
gogolik [260]

Answer:

d. Variable ratio

Step-by-step explanation:

We are asked to determine that gambling at a slot machine is an example of which reinforcement schedule.

Let us see our given choices one by one.

a. Fixed ratio

We know that in fixed ratio schedule, reinforcement is delivered after the completion of a number of responses. An example of fixed ratio is a reward to every 6th response.

b. Fixed interval

We know that in fixed interval schedule the first response is rewarded only after a specified amount of time has elapsed. An example of fixed interval schedule is weekly paycheck.

c. Variable interval

We know that in variable interval schedule, the reinforcement is delivered at changing and unpredictable intervals of time.

d. Variable ratio

In variable ratio schedule, a response is reinforced after an unpredictable number of responses. Gambling and lottery are examples of variable ratio.

Therefore, option 'd' is the correct choice.

8 0
3 years ago
A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a mag
joja [24]

a.

The y-coordinate of the vector with its terminal point in the second quadrant is 6.

The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.

Since r = √61 and r = √(x² + y²)

Making y subject of the formula, we have

y = √(r² - x²)  

Substituting the values of the variables into the equation, we have

y = √((√61)² - (-5)²)  

y = √(61 - 25)  

y = ±√36

y = ±6

Since r is in the second quadrant, its y-coordinate is positive.

So, y = 6

So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.

b.

The direction angle of the vector with its terminal point in the second quadrant is 130°

The direction angle of the vector is gotten from tanФ = y/x

Subsstituting x and y into the equation, we have

tanФ = y/x

tanФ = 6/-5

tanФ = -1.2

tan(180° - Ф) = 1.2

Taking inverse tan of both sides, we have

180° - Ф = tan⁻¹(1.2)

180° - Ф = 50.2°

Ф = 180° - 50.2°

Ф = 129.8°

Ф ≅ 130° to the neares whole number

The direction angle of the vector with its terminal point in the second quadrant is 130°.

Learn more about vectors here:

brainly.com/question/18478651

3 0
2 years ago
Find the standard equation for the circle having the given center and radius.
RoseWind [281]

\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{0}{h}~~,~~\underset{0}{k})}\qquad \stackrel{radius}{\underset{7}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - 0 ~~ )^2 ~~ + ~~ ( ~~ y-0 ~~ )^2~~ = ~~7^2\implies x^2+y^2=49

7 0
1 year ago
Can someone help me solve this?
sdas [7]
The area of a triangle is base x height/2,
so all you have to do is multiply 6x20 to get 120 and then divide that by 2 to get 60 m squared!! :)
5 0
3 years ago
Other questions:
  • Which of the following sequences of numbers are arithmetic sequences?
    14·1 answer
  • If Mrs. Nelson needs to order 348 jars of paint for her art classroom and there’s a box of 12 jars of paint that’s on sale at th
    12·1 answer
  • HELP PICTURE IS SHOWN
    9·1 answer
  • Over the last three evenings, Susan received a total of 95 phone calls at the call center. The first evening, she received 5 few
    10·1 answer
  • Letters A and B represent a question graph shown below
    10·1 answer
  • Select the correct answer from each drop-down menu. A quarter is approximately 0.07 inches thick. A dollar bill is approximately
    5·1 answer
  • Please answer this question with how do work it out?
    14·1 answer
  • "What is the probability that the first two cards drawn from a deck will be red? (With replacement)"?
    11·1 answer
  • Solve for x. pls help !!!!!
    12·1 answer
  • Isabel says that 0.02 can be expressed as 20%. Is she correct? Explain why or why not.​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!