Answer:
4 killer whales
Step-by-step explanation:
The dimensional analysis is ...
(whales/ft³)(ft³/tank) = whales/tank
Putting the numbers with the units, we get ...
(1.1142·10^-5 whales/ft³)(3.5900667·10^5 ft³/tank) = 4.00005... whales/tank
The maximum number of killer whales allowed in the main show tank is 4.
Answer:
A
Step-by-step explanation:
48 divided by 6 = 8. 6 times 8 = 48, so x = 8
Y is equal to 23 and x is equal to 28. This is because you can move 3y over to the corner to its left that matches the position 3y is in. From there you set 3y + 5y -4 = 180 because the add up to a straight line. Then you get 23 for y and you can use that to make 3y=69. Use the 69 to set it equal to 2x +13 and solve to get x=28.
<h3>Answer:</h3>
±12 (two answers)
<h3>Explanation:</h3>
Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:
(<em>a</em>)(-3<em>a</em>) = -27/4
<em>a</em>² = -27/(4·(-3)) = 9/4
<em>a</em> = ±√(9/4) = ±3/2
Then the other root is
-3<em>a</em> = -3(±3/2) = ±9/2 . . . . . . the roots will have opposite signs
We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...
-(a + (-3a)) = b/4
2a = b/4
b = 8a = 8·(±3/2)
b = ±12
_____
<em>Check</em>
For b = 12, the equation factors as ...
4x² +12x -27 = (2x -3)(2x +9) = 0
It has roots -9/2 and +3/2, the ratio of which is -3.
For b = -12, the equation factors as ...
4x² -12x -27 = (2x +3)(2x -9) = 0
It has roots 9/2 and -3/2, the ratio of which is -3.
Answer:
The statistical relationship between two variables is referred to as their correlation. A correlation could be positive, meaning both variables move in the same direction, or negative, meaning that when one variable's value increases, the other variables' values decrease.
Step-by-step explanation: