Answer:
graph B
Step-by-step explanation:
Given
3y - 5x < - 6
Since the inequality is < then the line must be broken
If ≤ then line would be solid
The only possible graphs are B and D
Choose a test point in the shaded region of each graph and check validity
graph B (2, 0) ← substitute into left side of inequality
0 - 5(2) = 0 - 10 = - 10 < - 6 ← this is valid
graph D (0, 0 ) ← substitute into left side of inequality
0 - 0 = 0 > - 6 ← this is not valid
Hence graph B is the correct graph
Answer:
probability of tossing a coin 3 times and getting heads each time is 1/8
Step-by-step explanation:
A coin has 2 sides (heads and tails) therefore you have a 50% chance of getting either heads or tails for each toss. Therefore, the probability of getting heads for 1 toss is 1/2. Now, tossing it 3 times and getting heads each time essentially means you would have to do (1/2)×(1/2)×(1/2) which would give you 1/8 as the probability of tossing a coin 3 times and getting heads each time.
Answer:
V=π*(2x^3+35x^2+176x+192)units^3
Step-by-step explanation:
V=πr^2h
r=x+8
h=2x+3
V=π*(x+8)^2*2x+3
=π*(x^2+16x+64)*2x+3
=π*(2x^3+32x^2+128x+3x^2+48x+192)
=π*(2x^3+35x^2+176x+192)
Volume of the cylinder=π*(2x^3+35x^2+176x+192)units^3
I believe the correct answer from the choices listed above is option C. <span>The astrolabe, an example of improved technology of the 15th and 16th centuries, had the greatest impact on the navigation skills. Hope this answers the question. Have a nice day.</span>
Answer:
±90
Step-by-step explanation:
√(-225) · √(-36) = (15i)·(6i) = 90i² = 90·(-1) = -90
_____
On the other hand, ...
... √(-225) · √(-36) = √((-225)·(-36)) = √8100 = 90
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If you consider all the roots at each stage, the result is ±90. Since you're working with complex numbers here, it is reasonable to recognize every number has two square roots.
... √(-225) = ±15i
... √(-36) = ±6i
... √(-225) · √(-36) = (±15i)·(±6i) = ±90i² = ±90
