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3 years ago

To determine the number of trout in a lake, a conservationist catches 120 trout, tags them and throws them back

Mathematics

1 answer:

kifflom [539]3 years ago

3 0

Answer:<u>350 Trouts</u>

Step-by-step explanation:<u>To determine the number of trouts the conservationist expect to be in the lake, you add 120+120 that equal to 240.Then you add 240+40 that equals to 284.Then you add 284+44 that equals to 328.Then you add 328+11 that equals to 339.Finally, you add 339+11 to get your answer:350.</u>

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Step-by-step explanation:

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3 years ago

Read 2 more answers

1. In the figure, angle 1 and angle 3 are vertical angles. If the measure of angle 1 = 120º, what is the measure of angle 3?

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We need to be able to see the diagrams in order to solve these.

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3 years ago

Simplify the expression to a polynomial in standard form:

maksim [4K]

Answer:

$(144x^8+360x^7+369x^6+360x^5+72x^4-90x^3-72x^2)$

Step-by-step explanation:

To better understand the question we need to properly format the expression

$(4x^2+x-1)(-3x^2-3x-3)(4x^2+x-1)(-3x^2-3x-3)$

as we can see we have three brackets, we can proceed by first opening the first two brackets, we have.

$(4x^2+x-1)(-3x^2-3x-3)\\=-12x^4-12x^3-12x^2-3x^3-3x^2-3x+3x^2+3x+3\\$

we then continue by collecting like terms

$=-12x^4-12x^3-12x^2-3x^3-3x^2-3x+3x^2+3x+3\\=-12x^4-12x^3-3x^3-12x^2-3x^2+3x^2-3x+3x+3\\=(-12x^4-15x^3-12x^2+3)$

we then solve for the remaining two brackets

$(4x^2+x-1)(-3x^2-3x-3)\\=-12x^4-12x^3-12x^2-3x^3-3x^2-3x+3x^2+3x+3\\$

we then continue by collecting like terms

$=-12x^4-12x^3-12x^2-3x^3-3x^2-3x+3x^2+3x+3\\=-12x^4-12x^3-3x^3-12x^2-3x^2+3x^2-3x+3x+3\\=(-12x^4-15x^3-12x^2+3)$

from the two brackets we obtained $(-12x^4-15x^3-12x^2+3)$ each, we now have to multiply both terms together and solve we have

$(-12x^4-15x^3-12x^2+3)(-12x^4-15x^3-12x^2+3)\\=144x^8+180x^7+144x^6-36x^4+180x^7+255x^6+180x^5-45x^3+144x^6+180x^5+144x^4-36x^2-36x^4-45x^3-36x^2+9\\$

collecting and summing all like terms we have

$=144x^8+180x^7+144x^6-36x^4+180x^7+255x^6+180x^5-45x^3+144x^6+180x^5+144x^4-36x^2-36x^4-45x^3-36x^2+9\\=144x^8+180x^7+180x^7+144x^6+255x^6+180x^5+180x^5-36x^4+144x^4-36x^4-45x^3-45x^3-36x^2-36x^2\\\\\=144x^8+360x^7+369x^6+360x^5+72x^4-90x^3-72x^2$

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4 years ago

Mick paid $2.94 in the sale tax on an item that cost $24.00 before tax. At that rate how much would he pay in sale tax for an it

s344n2d4d5 [400]

You could do this with a simple proportion.

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4 years ago

Find the volume of the cone

Mrrafil [7]

Answer:

Step-by-step explanation:

slant height l = 14cm

r = 6 cm

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h² + 6² = 14²

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h² = 196 - 36

h² = 160

h = √160

h = 12.65 cm

$Volume=\frac{1}{3}\pi r^{2}h\\\\=\frac{1}{3}*3.14*6*6*12.64\\\\$

= 476.61 cubic cm

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3 years ago