Answer:
$57
Step-by-step explanation:
In 1929 Edwin Hubble investigated the claim that distance (explanatory) and radial velocity (response) of extragalactic nebulae
1 answer:
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Answer:
The answer is 48 units³
Step-by-step explanation:
If we simply draw out the region on the x-y plane enclosed between these lines we realize that,if we evaluate the integral the limits all in all cannot be constants since one side of the triangular region is slanted whose equation is given by y=x. So the one of the limit of one of the integrals in the double integral we need to evaluate must be a variable. We choose x part of the integral to have a variable limit, we could well have chosen y's limits as non constant, but it wouldn't make any difference. So the double integral we need to evaluate is given by,
Please note that the order of integration is very important here.We cannot evaluate an integral with variable limit last, we have to evaluate it first.after performing the elementary x integral we get,
After performing the elementary y integral we obtain the desired volume as below,
Answer:
The number of candies in the sixth jar is 42.
Step-by-step explanation:
Assume that there are <em>x</em> number of candies in each of the six jars.
⇒ After Alice moves half of the candies from the first jar to the second jar, the number of candies in the second jar is:
⇒ After Boris moves half of the candies from the second jar to the third jar, the number of candies in the third jar is:
⇒ After Clara moves half of the candies from the third jar to the fourth jar, the number of candies in the fourth jar is:
⇒ After Dara moves half of the candies from the fourth jar to the fifth jar, the number of candies in the fifth jar is:
⇒ After Ed moves half of the candies from the fifth jar to the sixth jar, the number of candies in the sixth jar is:
Now, it is provided that at the end, 30 candies are in the fourth jar.
Compute the value of <em>x</em> as follows:
Compute the number of candies in the sixth jar as follows:
Thus, the number of candies in the sixth jar is 42.