9y is the answer I believe
what is the solution set to x if < x < 6 A. 1, 2, 3, 4, 5 B. 0, 1, 2, 3. 4. 5 C. 1, 2, 3, 4, 5, 6 D. 0, 1, 2, 3, 4, 5, 6
kenny6666 [7]
Answer:
Where are the rest of the numbers after 6?
Step-by-step explanation:
The maximum volume of the box is 40√(10/27) cu in.
Here we see that volume is to be maximized
The surface area of the box is 40 sq in
Since the top lid is open, the surface area will be
lb + 2lh + 2bh = 40
Now, the length is equal to the breadth.
Let them be x in
Hence,
x² + 2xh + 2xh = 40
or, 4xh = 40 - x²
or, h = 10/x - x/4
Let f(x) = volume of the box
= lbh
Hence,
f(x) = x²(10/x - x/4)
= 10x - x³/4
differentiating with respect to x and equating it to 0 gives us
f'(x) = 10 - 3x²/4 = 0
or, 3x²/4 = 10
or, x² = 40/3
Hence x will be equal to 2√(10/3)
Now to check whether this value of x will give us the max volume, we will find
f"(2√(10/3))
f"(x) = -3x/2
hence,
f"(2√(10/3)) = -3√(10/3)
Since the above value is negative, volume is maximum for x = 2√(10/3)
Hence volume
= 10 X 2√(10/3) - [2√(10/3)]³/4
= 2√(10/3) [10 - 10/3]
= 2√(10/3) X 20/3
= 40√(10/27) cu in
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Complete Question
(Image Attached)
Answer: $36.8625
Step-by-step explanation:
From the question, we are informed that Brenda went to Fiesta Mart and bought 1 ¼ pounds of deli meat at $7 a pound and 9 ¾ pounds of rice at $0.45 per pound. The total amount that we spent will be:
= ($7 × 1.25) + ($0.45 × 9.75)
= $8.75 + $4.3875
= $13.1375
If Brenda paid for her purchase with a $50 bill, the change that she will receive will be:
= $50 - $13.1375
= $36.8625
Answer: D) csc (2π/3)
<u>Step-by-step explanation:</u>
2π/3 is in Quadrant II
Quadrant II has a negative x-value and a positive y-value.
x-values are: cos & sec
y-values are: sin & csc
tan = y/x so will be negative in Quadrant II
A) sec = -
B) tan = -
C) cos = -
D) csc = + this works!