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laiz [17]
3 years ago
14

Find the range for the measure of the third side of a triangle if the measuresof the two sides are 10 and 16.

Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0
Minimum length: 16-10=6
Maximum length: 10+16=26

In both cases the triangle is flattened to a straight line!
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Answer:

Therefore the population will be maximum when x=30 inches.

Step-by-step explanation:

Given that, the mosquito population is a function of rainfall and can be approximated by the formula

N(x)= -x^3+45x^2+1000

where x is the number of inches of rainfall.

N(x)= -x^3+45x^2+1000

Differentiating with respect to x

N'(x)= -3x^2+90x

Again differentiating with respect to x

N''(x)=-6x+90

Now we set N'(x)=0

-3x^2+90x=0

\Rightarrow -3x(x-30)=0

\Rightarrow x=0,30

N''(0)=-6.0+90=90>0

N''(30)=-6.30+90=-90

Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.

Therefore the population will be maximum when x=30 inches.

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Step-by-step explanation:

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2 years ago
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Use mental math to evaluate the expression 6(31)+6(4)-6(15)
Finger [1]
Remember distributive property
a(b+c)=ab+ac
we can ervers it

6(31)+6(4)-6(15)=6(31)+6(4)+6(-15)=6(31+4-15)=6(20)=120
3 0
3 years ago
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