Answer:
If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is
Use following formulas to determine volumes of sphere and cylinder:
wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.
Then
Answer 1: correct choice is C.
If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So
R'=2R, r'=2r, h'=2h.
Write the new fask volume:
Then
Answer 2: correct choice is D.
Step-by-step explanation:
2log9(x)=log^9(8)+log9(x-2)
Log₉x² = log₉8 + log₉(x-2)
Log₉x² = log₉(8×(x-2))
Log₉x² = log₉8x-16
Log₉x² - log₉8x-16 = 0
Log₉(x²/(8x-16)) = 0
x²/(8x-16) = 9°
x² = 1 × 8x-16
x²-8x+16 = 0
x²-4x-4x+16 = 0
x(x-4)-4(x-4) = 0
(x-4)(x-4) =0
Therefore x = 4.....
Terry, Kevin and Barry have a total of 215 marbles.=> Terry has 20 marbles more than Barry = x + 20=> Kevin has 10 marbles more than Terry = (x + 20) + 10=> Barry = xSolutions:=> x + x + 20 + x + 20 + 10 = 215=> 3x + 50 = 215=> 3x = 215 - 50=> 3x = 165=> 3x / 3 = 165 / 3=> x = 55Barry have = 55Terry = 55 + 20 = 75<span>Kevin => 75 + 10 = 85</span>
Answer:
439.87
Step-by-step explanation:
Time and a half is the original hourly rate plus half of that. Being that Clint's hourly rate is $25.50, you will add $12.75 to that because that is half of 25.50. So for the 11.5 hours worked, Clint's gross pay comes out to be $439.87. First figure out time and a half as shown above. Next, multiply time and a half by the number of hours worked on said day. You then have the answer for what is Clint's gross pay.