Mathematics, 05.05.2020 17:07 lieremia4

Which answer choice has the set of numbers ordered correctly from least to greatest

Answers: 3

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Answer from: Quest

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step-by-step explanation:

Choose the function that the graph represents

Answer from: Quest

Answer d; a supplementary angle = 180°, so if that angle = 150°, y would = 30°.
In the diagram below, ab is parallel to cd. what is the value y? a.150b.50c.60d.30

Answer from: Quest

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

Answer from: Quest

answer: hence, function will be

$y=85(\frac{3}{4})^x$

explanation:

since we have given that

cost of a new textbook = $85

according to question, the resale value of a textbook decreases by 25% with each previous owner,

so, our function becomes,

$y=85(1-\frac{25}{100})^x\\\\y=85(\frac{100-25}{100})^x\\\\y=85(\frac{75}{100})^x\\\\y=85(\frac{3}{4})^x$

here, y is the total value of the text book after x owners.

hence, function will be

$y=85(\frac{3}{4})^x$

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Which answer choice has the set of numbers ordered correctly from least to greatest
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