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3 years ago

Please help see attached file

Mathematics

1 answer:

____ [38]3 years ago

4 0

Answer:

Package A: 492in^2

Package B: 404in^2

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The number of species of coastal dune plants in australia decreases as the latitude, in °s, increases. There are 34 species at 1

Bas_tet [7]

We have been given that the number of species of coastal dune plants in Australia decreases as the latitude, in °s, increases.

Further we know that there are 34 species at 11°s and 26 species at 44°s.

We can express the given information at two ordered pairs as shown below:

$(n,l)=(11,34)\text{ and }(n,l)=(44,26)$

Let us find slope of the line through these points:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{26-34}{44-11}=\frac{-8}{33}=-0.2424$

Therefore, we can write the equation of line in slope intercept form as:

$n=-0.2424l+b$

Where b is the y intercept, and we can find its value using one of the two points.

$34=-0.2424(11)+b\\34=-2.67+b\\b=34+2.67=36.67$

Therefore, the required equation of the linear function is:

$n=-0.2424l+36.67$

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3 years ago

Simplify negative 5 minus the square root of negative 44 negative 5 minus 4 times the square root of 11 i negative 5 minus 4 i t

Anika [276]

Answer:

$-5-\sqrt{-44}=-5-2\sqrt{11}i$

Step-by-step explanation:

We want to simplify:

$-5-\sqrt{-44}$

We rewrite the expression under the radical sign to obtain:

$-5-\sqrt{4\times11\times -1}$

We split the expression under the radical sign to get:

$-5-\sqrt{4} \times \sqrt{11} \times \sqrt{-1}$

Recall that:

$\sqrt{-1}=i$

This implies that:

$-5-\sqrt{4} \times \sqrt{11} \times \sqrt{-1}=-5-2\sqrt{11}i$

Therefore $-5-\sqrt{-44}=-5-2\sqrt{11}i$

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3 years ago

Negative three over eight ÷ five over nine

vesna_86 [32]

Answer:

-27/40

Step-by-step explanation:

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3 years ago

Write a quadratic equation in standard form with the given roots of 3,-4

nexus9112 [7]

Answer:

Since the roots are 3, -4 then we must put

-3, 4 into this equation,

(x +a) * (x +b) = 0

(x -3) * (x +4) = 0 then multiplying

x^2 +x -12

Step-by-step explanation:

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3 years ago

Question 1 (1 point)

KatRina [158]

Answer:

97.2

Step-by-step explanation:

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3 years ago

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