The sum of the first 14 terms of the finite geometric series 0.5+ (-1) +2+... is -2730.5
<h3>How to determine the sum of the series?</h3>
The series is given as:
0.5+ (-1) +2+...
The above series is a geometric series, with the following parameters:
- First term, a = 0.5
- Common ratio, r = -2
- Number of terms, n = 14
The sum of the first 14 terms is calculated using:
So, we have:
Evaluate
Hence, the sum of the series is -2730.5
Read more about series at:
brainly.com/question/6561461
#SPJ1
Answer:
63 gallons.
Step-by-step explanation:
If 30% of water is used outdoors, that leaves 70% to be used indoors. Since an average person uses 90 gallons, all we need to do is fine 70% of 90 gallons. To do this, we have to multiply 90 by 0.7:
90 * 0.7 = 63
In conclusion, 63 gallons of water are used indoors.
There's no need to get into an ethical morass over math homework.
111.
M is 20% less than N means
M is 100-20=80% of N
M=0.80 N
M/N = 0.8 = 4/5
Ratio: 4/5
112.
When we know <em>a, </em>the average, and <em>n, </em>how many numbers there are, we know the sum <em>s</em>, because <em>a=s/n </em>so <em>s=na.</em>
So the sum of our six numbers is 6(3.5)=21 so the sum of the seven numbers is 21+4.2=25.2 so the average is 25.2/7 = 3.6
Answer: 3.6
113.
|2p + 4 | < 3
At p=-2 the absolute value is zero. As p gets more negative the absolute value argument (inside part) gets negative and the absolute value gets bigger, more positive. Eventually the inside will be exactly -3, when
2p +4 = -3
2p = -7
p = -7/2 = -3 1/2
So p=-4 will make the inequality false, and p=-3 is the smallest integer that makes the inequality true.
Answer: -3
114.
The distance from the origin is given by the Pythagorean Theorem and this one is a 3/4/5 right triangle:
Answer: .5 or 1/2
Answer:
This is the concept of scale factors; The length of the larger figure will be calculated as follows;
linear scale factor=[length of larger figure]/[length of smaller figure]
plugging the values in the above formula we get:
let the length of the larger figure be x;
thus;
x/12=4/3
multiplying both sides by 12 to solve for x we get:
12*x/12=4/3x12
x=16
thus the length of the larger figure is x=16
Answer:
5(7x+5)
Step-by-step explanation: