Problem One
The volume of a cone is
V= 1/3 * pi * r^2 * h
h = 20 so
V = 1/3 * pi * r^2 * 20 Multiply by 3
3V = pi * r^2 * 20 Divide by 20*pi
3V/(20*pi) = r^2 Take the square root of both sides.
√(3V/(20*pi) ) = √r^2 Switch
√r^2 = √(3V/(20*pi) )
r = √(3V/(20*pi) )
A is wrong because it is taking the cube root to find r. Only the square root is needed.
C is wrong because the right side is a square root, not squared.
D is wrong because it is the reciprocal (up side down) of the answer.
The answer is B.
Problem Two
Before you do anything else, find out what she charges for 1 dog.
27 dogs = 324
1 dog = x Cross multiply
27x = 324 Divide by 27
x = 324 / 27 Do the division
x = 12 dollars for 1 dog.
Now you can look at the graph. Plot the following points (x < 16)
Number dogs Amount
1 12
3 36
5 60
That's enough to get the line which I've given you below.
Answer:
B. The fifth sentence elaborates on an assertion made in the preceding sentence.
Explanation:
Answer B
Correct. In the fourth sentence, the authors make a claim about the role of mathematics in the sciences, asserting that “the more [mathematics] can be applied usefully within a science, the more advanced the science.” The fifth sentence begins with the conjunction “For,” which is commonly used to introduce reasoning that explains or clarifies an earlier statement. And indeed, the fifth sentence does explain why the application of mathematics helps advance a science: because mathematics functions as both a precise language and a means of measurement.
<span>By recalling the memory he had when they got stuck in the rain. Elaboration adds an emotional memory.
Hope this helps!
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You have to use L'Hospital Rule. So you take the derivative of the top then you take the derivative of the bottom.
1/2 × (lim x→0 (sec²x/1))
Substitute in the x-value
1/2 × (lim x→0 (sec²(0)/1))
(lim x→0 (sec²(0)/1) = 1
1/2 × 1
1/2
It has made customers get service more quickly. For example when people used to wait in drive thrus at restaurants, they would have to wait until someone took their order and then told the people inside to cook the food . Now with the speakers they use, the employees can easily get your order from inside and efficiently alert the chefs to cook the food.
