For direct variation, y = kx
8 = -4k
k = 8/-4 = -2
Therefore, required equation is y = -2x
when x = 7, y = -2(7) = -14
Answer:
300 seconds
Step-by-step explanation:
The first dog run at v₁ = 15 m/sec the second one run at v₂ = 12 m/sec
we know that d = v*t then t = d/v
Then the first dog will take 300/ 12 = 25 seconds to make a turn
The second will take 300 / 15 = 20 seconds to make a turn
Then the first dog in 12 turns 12*25 will be at the start point, and so will the second one at the turn 15.
To check first dog 12 * 25 = 300
And the second dog 15 * 20 = 300
That means that time required for the two dogs to be at the start point together is
300 seconds, in that time the first dog finished the 12 turns, and the second had ended the 15.
Another procedure to solve this problem is as follows:
between 12 m/sec and 15 m/sec the minimum common multiple is 300 ( 300 is the smaller number that accept 12 and 15 as factors 12*15 = 300) Then when time arrives at 300 seconds the two dogs will be again in the starting point
Answer:
c) $4,000,-$2,850, $5,170
Step-by-step explanation:
The given fractions representing the conditional probability is P(A | B) = P(AnB)/P(B)
<h3>Conditional Probability</h3>
This is the probability that an event has happened given another event. If the two events are A and B, hence;
The conditional probability of A given B is expressed as:
P(A | B) = P(AnB)/P(B)
This given the fractions representing the conditional probability
Learn more on conditional probability here: brainly.com/question/10739997
#SPJ1
<h3>
Answer: 200.96 ft^2 (choice C)</h3>
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Work Shown:
A = pi*r^2
A = 3.14*8^2
A = 200.96
Note that the radius r = 8 is half of the diameter d = 16. I'm using the approximation pi = 3.14, which means the area is approximate. To get a more accurate answer, use more decimal digits of pi. The units of the area are in square feet, which can be written as "sq ft" or as "ft^2".
