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skelet666 [1.2K]
3 years ago
6

Suppose that the amount of algae in a pond doubles every 4 hours. If the pond initially contains 40 pounds of algae, how much al

gae will be in the pond after 12 hours?
Mathematics
1 answer:
Paul [167]3 years ago
7 0
320 pounds of algea. After 4 hours, it would be 80, After 8 hours, 160. After 12 hours, 320
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a boat can travel 30 miles upstream in the same amount of time you can travel 50 miles Downstream. If the speed of the current i
almond37 [142]
Speed, S = Distance (d) / Time (t) => S= d/t => t= d/S

Let the speed of boat in still water be x mph

Resulting speed upstream = x-4 mph for a distance of 30 miles
Resulting speed downstream = x-4 mph for a distance of 50 miles

Time taken in both distances is equal.
Therefore,

30/(x-4) = 50/(x+4) => 30(x+4) = 50(x-4) => 30x+120 = 50x-200 => 120+200 = (50-30)x => 20x = 320 => x=320/20 = 16 mph

The speed of boat in still water is 16 mph.


7 0
4 years ago
Read 2 more answers
Use a reference angle to write sec255∘ in terms of the secant of a positive acute angle. Do not include the degree symbol in you
jarptica [38.1K]

Answer: sec (75) or csc (15)

Step-by-step explanation:

255 is in the 3rd quadrant where the secant is. Here, the tangent and cotangent is positive.

Reference angle for 255 is,

255 - 180 = 75 degrees.

Therefore, sec (255) = sec (75)

= csc (90 - 75) = csc (15)

6 0
3 years ago
Consider the sets below. u = {x | x is a real number} a = {x | x is an odd integer} r = {x | x = 3, 7, 11, 27} is r ⊂ a?
-BARSIC- [3]

The correct option is (B) yes because all the elements of set R are in set A.

<h3>What is an element?</h3>
  • In mathematics, an element (or member) of a set is any of the distinct things that belong to that set.

Given sets:

  1. U = {x | x is a real number}
  2. A = {x | x is an odd integer}
  3. R = {x | x = 3, 7, 11, 27}

So,

  • A = 1, 3, 5, 7, 9, 11... are the elements of set A.
  • R ⊂ A can be understood as R being a subset of A, i.e. all of R's elements can be found in A.
  • Because all of the elements of R are odd integers and can be found in A, R ⊂ A is TRUE.

Therefore, the correct option is (B) yes because all the elements of set R are in set A.

Know more about sets here:

brainly.com/question/2166579

#SPJ4

The complete question is given below:
Consider the sets below. U = {x | x is a real number} A = {x | x is an odd integer} R = {x | x = 3, 7, 11, 27} Is R ⊂ A?

(A) yes, because all the elements of set A are in set R

(B) yes, because all the elements of set R are in set A

(C) no because each element in set A is not represented in set R

(D) no, because each element in set R is not represented in set A

8 0
1 year ago
A building is 200 feet long. The length of the building on a scale diagram is 2 feet 6 inches. What is the height of the buildin
mafiozo [28]

Answer:

200 feet to 2 ft 6 inches (or 30 inches)

Convert the 200 feet to inches

2400 inches.

2400 divided by 30 inches is

80 inches per feet

600 inches divided by 80 is

7.5 inches rounded up is 8 inches

the answer is 8 inches

Step-by-step explanation:

3 0
3 years ago
For this graph, mark the statements that are true.
satela [25.4K]
The answer might be D sir
3 0
3 years ago
Read 2 more answers
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