A local zoo has just opened a new stingray environment with 7 young healthy stingrays. The population of stingrays in the endosu
re is expected
to at least double every year and can be represented after years by this inequality.
y > 7(2)
At the time the stingrays were added to the enclosure, the zookeepers determined that the enclosure could sustain at most 160 stingrays. The
number of stingrays the enclosure can sustain after years, because of budget constraints, can be represented by this inequality.
y 160 - 25
Which point on the graph represents a possible number of stingrays, y, in the enclosure?
Y
240
200
160
120
80
40
-10
to at least double every year and can be represented after years by this inequality.
y > 7(2)
At the time the stingrays were added to the enclosure, the zookeepers determined that the enclosure could sustain at most 160 stingrays. The
number of stingrays the enclosure can sustain after years, because of budget constraints, can be represented by this inequality.
y 160 - 25
Which point on the graph represents a possible number of stingrays, y, in the enclosure?
Y
240
200
160
120
80
40
-10
2 answers:
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Answer:
BD - AC = 0
Step-by-step explanation:
Given that:
BC = 36 , CD = 15 and BD = x
As these are forming right angled triangle,
Using Pythagorean theorem,
Taking square root on both sides
As the given shape is rectangular, the sides parallel to each other will have same values.
AB = 15 , AD = 36 and AC = x
Now,
BD - AC = 39 - 39 = 0
Hence,
BD - AC = 0
The given sum for n = 1 to n = 15 is equal to 255, so the correct option is B.
<h3>How to find the sum of the given series?</h3>
We want to find the sum of the series whose elements are of the form:
(2n + 1)
From n = 1 to n = 15.
Then our sum will be:
(2*1 + 1) + (2*2 + 1) + ... + (2*15 + 1).
3 + 5 + ... + 31
This is the sum of all odd numbers in the interval [3, 31]
Which gives:
So the correct option is B.
If you want to learn more about sums:
#SPJ1