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nika2105 [10]
3 years ago
15

The population of a local species of mosquitos can be found using an infinite geometric series where a1 = 740 and the common rat

io is one sixth. Write the sum in sigma notation, and calculate the sum (if possible) that will be the upper limit of this population.
Mathematics
1 answer:
ollegr [7]3 years ago
6 0
Sum = a1 + a2 + a3 + ... + an = Σan
Sum to infinity of a geometric sequence is given by S∞ = a/(1 - r); where a is the first term and r is the common ratio.
S∞ = 740/(1 - 1/6) = 740/(5/6) = 888
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Solve the system of equations for x and y.<br> y = x + 5<br> y = 2x + 2
DIA [1.3K]
Answer (x,y) (3, -2)

Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we

can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
3 0
2 years ago
So<br> How would you write 6.5E4
vladimir2022 [97]
Hope that helps



6.5 x 10^4

Or

65000
8 0
2 years ago
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masha68 [24]

Answer:

U.S. Currency

Step-by-step explanation:

6 0
3 years ago
Solve the equation: 2y+4^2=64
JulsSmile [24]

Answer:

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I hope I helped you^_^

7 0
2 years ago
What percent of 8 is 33.52
Nonamiya [84]
419 because all you have to do is calculate it
5 0
3 years ago
Read 2 more answers
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