Answer:
x = 10 - 10sqrt(3)/3
Approximately 4.2265 cm
Volume = 1539.6 cm³
Step-by-step explanation:
Let the height be x
V = (20 - 2x)(40 - 2x)x
V = (800 - 80x - 40x + 4x²)x
V = 4x³ - 120x² + 800x
dV/dx= 12x² - 240x + 800 = 0
3x² - 60x + 200 = 0
x = [60 +/- sqrt(60² - 4(3)(200))]/6
x = [30 +/- 10sqrt(3)]/3
x = 10 +/- 10sqrt(3)/3
Approximately,
15.7735 and 4.2265
d²V/dx² = 24x - 240
For max, d²V/dx² < 0
So, x = 4.2265
V = (20 - 2x)(40 - 2x)x
Plug in x = 10 - 10sqrt(3)/3
V = 1539.600718
Answer:
22 yrs old (22 yrs & 29 days Old to be exact, because he died in June)
Step-by-step explanation:
Subtract:
1926 - 1904 = 22
Since Gaudi died on June 10th 1926 and Dali was born on May 11th, 1904, you just need to subtract the years.
Answer: The equation would be W = 500 + 30T
Step-by-step explanation: The variables given are, W which represents the amount of water, and T which represents the time in minutes that water has been added. Already there is 500 liters in the water tank to start with, that means as you begin to add water, its simply an addition to the already existing 500 liters, (that is + 500).
Also you are told that you can add water at a rate of 30 liters per minute, that is you have one T for every 30 (or simply put 30T).
Therefore the equation that correctly relates W to T is shown as;
W = 30T + 500
With this, your table of values would now be shown as;
x = 1, y =530
x= 2, y = 560
x = 3, y = 590
x = 4, y = 620
x = 5, y= 650
Then your graph is as shown in the image attached.
9514 1404 393
Answer:
y = -2·(1/2)^x
Step-by-step explanation:
The general form of the equation can be written as ...
y = a·b^x
where 'a' is the value of the y-intercept, and 'b' is the ratio of y-values for x-values that differ by 1.
From your table and graph, a = -2. From the table, ...
b = -1/-2 = 1/2
Then the exponential equation is ...
y = -2·(1/2)^x