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In-s [12.5K]
3 years ago
6

The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 42 and the common rati

o is three fourths. Write the sum in sigma notation and calculate the sum that will be the upper limit of this population.
Mathematics
2 answers:
Scilla [17]3 years ago
8 0


Since this is the formula for the infinite geometric series with
a1 = 42
r = 3/4

Solution will be

sum = 42 / 1-3/4
sum = 42 / 0.25
sum = 168

Therefore, the total is 168






JulsSmile [24]3 years ago
4 0

Answer: the answer is D


Step-by-step explanation: We can immediately eliminate options A and B because they aren’t even formatted properly. The common ratio(3/4) ALWAYS comes after a_1 which in this case was 42. That leaves us with C and D. Now, for series to be divergent, the common ratio(number in parentheses) HAS to be GREATER than one. Since this equation has 3/4 or .75 in the parentheses it is NOT divergent. That leaves us with answer choice D, and the answer is 168. My friend above explains how to get to that answer. Thanks and please rate.


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Squareroot(y-1) + 3 = y
jek_recluse [69]
Note:xy means x times y and x(y) means the same thing

so
first we get rid of square root then
make the equation equal to zero becaues if
xy=0 then x or/and y=0



squareroot(y-1)+3=y

isolate the squareroot
subtrac 3 from boht sides

squareroot(y-1)=y-3

square both sides (since they are equal, you should be able to square both sides and still make it true)

(squareroot(y-1))^2=(y-3)^2
(y-1)=(y-3)(y-3)
y-1=y^2-6y+9
subtrac y from both sides
-1=y^2-7y+9
add 1 to both sides
0=y^2-7y+10
find what two number multiply to make 10 and add to get -7
the answer is -2 and -5

0=(y-5)(y-2)
therfore
y-5=0
and/or
y-2=0

therefor
y=5 or/and 2 might work
let's try out 2
square root(2-1)+3=2
square root(1)+3=2
1+3=2
false
so 2 doesn't work



let's try 5
squareroot(5-1)+3=5
squareroot(4)+3=5
2+3=5
5=5
true

y=5
7 0
3 years ago
Use the discriminat to describe the roots of each equation. Then select the best description 16x^2+8x+1=0
astra-53 [7]

Answer:

A

Step-by-step explanation:

Discriminant= 8^2-4(16)(1)

=0

7 0
3 years ago
If angles P and Q are supplementary angles, which of the following must always be true?
user100 [1]

Answer:

180

Step-by-step explanation:

for two angles to be supplementary, their sum must be equal to 180°

6 0
2 years ago
Read 2 more answers
What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?
Vikentia [17]

Answer:

22 meters per second.

Step-by-step explanation:

374 divided by 17 = 22.

8 0
3 years ago
Read 2 more answers
The area of a rectangle is 5/6 sq foot. The width is 2/3 foot. The length of the rectangle is how many feet
max2010maxim [7]

Answer:

The answer is

\frac{5}{4}  \\

Step-by-step explanation:

Area of a rectangle = length × width

Since we are finding the length

<h3>length =  \frac{area}{width}  \\</h3>

From the question

area = 5/6 sq. feet

width = 2/3 foot

Substitute the values into the above formula and solve for the length

The length is

length =  \frac{5}{6}  \div  \frac{2}{3}  \\  =  \frac{5}{6}  \times  \frac{3}{2}  \\  =  \frac{5}{2}  \times  \frac{1}{2}  \\  =  \frac{5}{4}

We have the final answer as

\frac{5}{4}  \\

Hope this helps you

7 0
3 years ago
Read 2 more answers
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