Answer: 1/12
Hope that helps :)
Given
Recall that the general geometric series representation is given by
Let
Thus,
Multiply both sides by t, to get
Integrate both sides to get
Answer:
C. As the radius of a circle increases, circumference of the circle increases.
Using listing method the elements in the set are +2 and -2.
What is listing method ?
The listing approach involves writing the members of the set as a list, with commas separating the items and curly brackets enclosing the list. The rule or condition that may be used to determine if an object can belong to the set is specified when using the rule method for sets.
The members of a set are listed using this technique, with commas used to separate them and curly braces used to enclose the list. The four distinct seasons, for instance, can all be written as "Summer, Autumn, Spring, and Winter." The list's elements can be in any order, so don't worry.
We are given the set
all such x such that the perfect square is 4. Now, we have
Therefore, the elements in the set are +2 and -2.
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1) you do 144× 12 since you want to know how much all kids pay so its 1728 dollars.
2) they want 2 section a, 3 section b, and 2 section c, and sincc you want to know total you multiply number of tickets bought by cost per ticket, so its 2(10)+3(20)+2(30)=180 total cost.
3) sine they have 350 dollars yoy subtract cost of the ps4 from the amount they have and you get, 350-234=116 dollars remaining.
4) since they make 15 per lawn you write 15x, x representing number of lawns cut, and you set that equal to 225, so its 15x=225 then you divide 15 on both sides to get x= 15 lawns they need to cut.
5) you just divide 2/4 since they ate two of four slices and you get .5 then convert that to a decimal by moving decimal point 2 spaces over to get 50%.
6) Just add up all the costs of each song, so you get .99+1.19+1.5+.99 = 4.67 dollars as total cost.
7) since 60 min is in an hour and you have 30 min left over it would be 1hr and 30 min.
8) since its Monday through Friday which is only 5 days you multiply that by 4 weeks to get 20 days then you multiply by 30 since they study 30 min on each of those days, so you get 20×30 which is 600min of studying, but since it want is in hours divide 600 by 60 to get 10hrs of study.