14. Range=22 Mean= 31.2
15. Range=33 Mean= 88.2
16. Range= 81 Mean= 161.3
To find range you take the smallest number and the largest number and subtract them. To find mean you add all of the totals together and then divide by how many numbers are given.
I'd say that it is x^2 + (-1). That also could be written as x^2-1
Answer:
Lulu has 14 quarters and 6 dimes
Step-by-step explanation:
Let x be the number of dimes and y the number of quarters. The sum of quarters and dime is 20 coins. Then:
x + y = 20
We also know that the value of each dime is $ 0.10 and the value of each quarter is $0.25. The total value of the coins is $4.10. Then, the number of dimes times 0.10 plus the number of quarters times 0.25 will be 4.10:
0.10x + 0.25y = 4.10
So, we have a system of 2 equations and 2 unknowns:
x + y = 20
0.10x + 0.25y = 4.10
Let´s solve the first equation for y:
x + y = 20
subtract x from both sides
y = 20 - x
And now let´s replace y in the second equation:
0.10x + 0.25(20 - x) = 4.10
Apply distributive property
0.10x + 5 - 0.25x = 4.10
subtract 5 from both sides of the equation
-0.15x = -0.9
Divide by -0.15 both sides of the equation
x = 6
Now let´s calculate y:
y = 20 - x
y = 20 - 6 = 14
Lulu has 14 quarters and 6 dimes
Answer:
daddy chill earned 15678points
Step-by-step explanation:
Answer:
-2π square inches per second
Step-by-step explanation:
The lateral surface area is the product of the height and circumference, so can be described by the formula ...
LA = 2πrh
Differentiating with respect to time, we get ...
LA' = 2π(r'h +rh')
Filling in the given values, gives ...
LA' = 2π((-0.5 in/s)(14 in) + (4 in)(1.5 in/s)) = 2π(-7 in²/s +6 in²/s)
= -2π in²/s ≈ -6.283 in²/s . . . . rate of change of lateral area