Answer:
hope this answer will help u.
Step-by-step explanation:
<em>( 5x + 3y )² - ( 5x - 3y )² - 60xy</em>
<em>= ( 25x² + 30xy + 9y²) - ( 25x² - 30xy + 9y² ) - 60xy</em>
<em>= 25x² + 30xy +9y² - 25x² + 30xy - 9y² - 60xy</em>
<em>= 60xy - 60xy</em>
<em>= 0</em>
Answer: It is the area of the base
Step-by-step explanation:
"B" represents the area of the base so if the base is a square than a capital "B" means to find the area of the base (square). To find the area of a square it would be length x width.
Answer:
model a: 9 presses
model b: 9 presses
Step-by-step explanation:
let x=model a and y=model b.
If asanji has 28 printing presses, we can say that x+y=18.
If he can print 1260 books in a day, we can say that 80x+60y=1260.
Now, We can solve the system of equation by solving an equation in terms of any variable. You can choose any variable. I chose x. x+y=18, So if we subract y from each side, we get x=18-y. Now, we can substitute that in the other equation. Thus, 80(18-y) +60y=1260. If we continue to solve for y, 1440-80y+60y=1260, 1440-20y=1260, subtract 1440 from each side, which gives you -20y=-180, and divide - 20 and you get y=9. Now, substitute the 9 in the x+y=18 to find x. Thus, x+9=18, and x=9. So, Asanji has 9 press of Model A and 9 presses of Model B.
The balloon has a volume
dependent on its radius
:

Differentiating with respect to time
gives

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

The surface area of the balloon is

and differentiating gives

so that at the moment the radius is 3 m, its area is increasing at a rate of

Step-by-step explanation:
Assuming the data is as shown, restaurant X has a mean service time of 180.56, with a standard deviation of 62.6.
The standard error is SE = s/√n = 62.6/√50 = 8.85.
At 95% confidence, the critical value is z = 1.960.
Therefore, the confidence interval is:
180.56 ± 1.960 × 8.85
180.56 ± 17.35
(163, 198)
Restaurant Y has a mean service time of 152.96, with a standard deviation of 49.2.
The standard error is SE = s/√n = 49.2/√50 = 6.96.
At 95% confidence, the critical value is z = 1.960.
Therefore, the confidence interval is:
152.96 ± 1.960 × 6.96
152.96 ± 13.64
(139, 167)