Answer:
6.5 x 10^6 To answer this question, you need to divide the mass of the sun by the mass of mercury. So 2.13525 x 10^30 / 3.285 x 10^23 = ? To do the division, divide the mantissas in the normal fashion 2.13525 / 3.285 = 0.65 And subtract the exponents. 30 - 23 = 7 So you get 0.65 x 10^7 Unless the mantissa is zero, the mantissa must be greater than or equal to 0 and less than 10. So multiply the mantissa by 10 and then subtract 1 from the exponent, giving 6.5 x 10^6 So the sun is 6.5 x 10^6 times as massive as mercury.
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Answer:
C
Step-by-step explanation:
Don't worry about the volume to start with. Just look at the area of the top or bottom.
The hole has a 4 inch diameter
d = 4
r = d/2
r = 2
Area = pi r^2
Area = pi * 2^2
Area = 4 pi
Now find the area of the top (or bottom) if the circle was not there.
L = 8
W = 6
Area = L * W
Area = 8 * 6
Area = 48
Now take away the area of the circle.
Area Top = 48 - 4 * pi
Area Top = 48 - 12.56
Area Top = 35.44
Finally, Find the volume
Volume = area of the top * height
Volume = 35.44 * 15
Volume = 531.6
5 1/2 = 11/2
11/2 x 3/4 = 33/8 = 4 1/8
answer is B. 4 1/8
Answer: D
Step-by-step explanation:
this is in y=Mx+ b form. M stands for the slope and b stands for the y intercept, or where the line intersects with the y-axis.
Going left to right, the line slopes downwards, therefore it is a negative Slope. This narrows down your answer to either a or d. the slope is -1 because you can only ever write x by itself if it means 1x. In this case it is negative so it would look like this: -x
for the y-intercept, simply look at where the line passes through the y-axis. In this case, it is positive 2.
your finished equation would be: y=-x+2
i hope this is helpful
