Answer:
The inverse of the function h(x) is .
Step-by-step explanation:
The given function is
Replace h(x) by y.
Interchange x and y.
Subtract 4 from both sides to isolate variable y,
Multiply both sides by 2.
Divide both sides by 5.
Replace y by h⁻¹(x).
Therefore the inverse of the function h(x) is .
Since these events are independent, you add the possibilities
the number of cards less than 9 is 32
the number of spades is 13
there are 52 cards in a deck, so you put those numbers over 52
32/52 + 13/52 = 45/52
the answer is 45/52
Just combine like terms: all of the x^2 together, all of the x's together and all of the numbers:
3x2+5x2+5x-2-1
8x2+5x-3 simplified, so letter A
Answer: 376.98192 mL
Step-by-step explanation:
We are going to use this equation.
V = π * r² * h
according to the question we have the value for r and h, if you replace the values into the equation we will get following product:
note: also keep in mind that value of π is 3.141516
V = π * r² * h
V = π * (4in)² * (10in)
V = 502.64256 in³
after we can divide this value in 4 equals parts
then we get the following equation:
502.64256 in³ / 4 = 125.66064 in³
after that that you can multiply this value by 3 to get the 3 parts of the cylinder vase for example:
125.66064 in³ * 3 = 376.98192 in³
and this result is the volume of water that we have to pour into the vase
The answer is C because the statement would be if A is true then B is true. Hope this helps