I really need the answers for these I don't understand this

Answers

Answer 1

Answer: i tryed my best to figure out what all of the numbers were. if i got any wrong then please tell me and i will put the right answer in the comments.

1) 3/5= 5/x (cross multiply)
3x=5(5)
3x=25
x= 25/3 -or- 8.33

2) 2/4=x/12   (cross multiply)
2(12)=4x
   24=4x
   6=x
3) 10/x=5/9   (cross multiply)
10(9)=5x
90=5x
18=x
4) 5/5=x/18   (cross multiply)
5(18)=18x
90=18x
5=x

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The national catch of Atlantic Cod has been declining in the past few decades. We can model this decline with the equation y = −.003x2 + .120x + 1.909 where x is the number of years since 1950 and y is the catch in millions of metric tons. In which year did the catch reach its maximum? In which year will the catch reach 0? For what years was the catch increasing? Decreasing? When was the catch greater than 2.5 million metric tons? Show all of your work or explain how you came up with your solutions.

Answers

y = -.003x² + .120x + 1.909
Standard form of a parabola is y = ax² + bx + c. The x coordinate of the vertex can be found with -b/2a.
-.120/(2 × -.003) + 20
So the max is at 1950 + 20 because x is years after 1950. Which is 1970.
To find when y will be 0, use the quadratic equation x = [-b +/- √(a² - 4ac)]/2a. +/- means plus or minus because I can't type the actual symbol.
x = [-.120 +/- √(-.003² - 4(-.003)(1.909))]/2(-.003) Plug in info
x = [-.120 +/- √(.000009 - 4(-.005727))]/-.006
x = [-.120 +/- √(.000009 + .022908)]/-.006
x = [-.120 +/- √(.022917)]/-.006
x=-.120/-.006 +/- √(.022917)/-.006
x = 20 +/- .15138361866/-.006
x = 20 +/- -25.2306031108
Because it is plus or minus you split it and do both.
x = 20 - -25.2306031108 x = 20 + -25.2306031108
x = 45.2306031108 x = -5.23060311077
so y is 0 when x is 45.2306031108 because there is no such thing as negative time so it can't be the other one. So the answer is 1995 because you add 45 to 1950.
Since the max is at 1970, it is increasing from 1950 to 1975 and decreasing from 1975 to 1995.

Sorry I took so long, I had to look up how to do it because I couldn't remember.

Can someone explain how to do number 3 please?! The answer is 1 over 32

Answers

Since we are doing flips of a coin, we can agree that each flip is independent of all of the other.

The probability that a coin lands on heads is 1/2, just as the probability that a coin lands on tails is 1/2.

Since each event is independent, we take the probabilities of the events and multiply them together to get the overall probability:

P(H) = 1/2
P(T) = 1/2

So:

P(H, T, H, H, H) = (1/2) x (1/2) x (1/2) x (1/2) x (1/2) = 1/32

The overall probability is 1/32.

Which set of side lengths defines a right triangle?A.

7, 9, 13

B.

5, 12, 14

C.

8, 15, 17

D.

9, 12, 14

Answers

If you have a lot of Pythagorean triples memorized, then you'd probably know immediately, but if not, then you can use the Pythagorean Theorem to calculate each one:

A.: 7^2+9^2=49+81 which is not equal to 13^2, or 169

B.: 5^2+12^2=25+144 which is not equal to 14^2, or 196

C.: 8^2+15^2=64+225=17^2=289

D.: 9^2+12^2=81+144 which isn't equal to 14^2, or 196

Therefore, the correct answer is C.

Is 593 ÷ 6 a little less than 10 a little less than 100 or a little more than 100? explain

Answers

It will be a little less than 100. You can find this either by dividing it out, or rounding 593 up to 600. 600 ÷ 6 = 100 and 593 is a little less than 600, so therefore 593 ÷ 6 will be a little less than 100.

its a little less than 100. to be exact it is 98.8333333

Is 52L greater than 5,200mL?

Answers

1L = 1,000mL

therfore

52L = 52 × 1,000mL = 52,000 mL

52L = 52,000mL !!!!

5200mL → 520 cL → 52dL → 5.2L

Example:

If

1L ------ 1000mL
x -------- 5200mL

1000x = 5200
$x = (5200)/(1000)$
x = 5,2

Therefore:
52L > 5200mL or 5.2L (True)

What is 119,000,003 in expanded form

Answers

100,000,000+10,000,000+9,000,000+3