33 is composite
49 is composite
21 is composite
9514 1404 393
Answer:
B. Figure B
Step-by-step explanation:
The figure is difficult to read. We assume the height of the pyramid is 9, and the radius of the cylinder is 1.
The pyramid volume is ...
V = 1/3Bh
V = 1/3(4²)(9) = 48 . . . cubic units
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The cylinder volume is ...
V = πr²h
V = π(1²)(48) = 48π . . . cubic units
The cylinder has π times as much volume as the pyramid. Figure B is larger.
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<em>Additional comment</em>
If the diameter (not the radius) of the cylinder is 1 unit, then its volume is 12π cubic units and the pyramid has more volume.
y = x + 2
Step-by-step explanation:
General formula for any straight line:
y = mx + c
Where
m = gradient
c = constant
m = y2 - y1/x2 - x1
m = (4 - ( -2))/(2 - ( -4))
m = 6/6
m = 1
y = (1)x + c
y = x + c
Substitute any coordinate from the line of the equation.
4 = 2 + c
c = 2
substitute m and c into general formula
y = mx + c
y = x + 2
Answer:
Step-by-step explanation:
In the arithmetic sequence \(t_1\), \(t_2\), \(t_3\), ..., \(t_n\), \(t_1=23\) and \(t_n= t_{n-1} - 3\) for each n > 1. What is the value of n when \(t_n = -4\)?
A. -1
B. 7
C. 10
D. 14
E. 20
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Best Regards,
E.
MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730
Multiply and simplify (3 + i)(4 + 2i)
(3 + i)(4 + 2i) = (3*4) + (3*2i) + (4*i) + (2i*i) = 12 + 6i + 4i + 2i^2
i^2 = -1
12 + 6i + 4i + 2i^2 = 12 + 6i + 4i -2 = 10 + 10i
Use the imaginary number i to rewrite the expression:
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