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gayaneshka [121]
3 years ago
15

16) Which fraction is 36 84 written in lowest terms? A) 3 8 B) 3 7 C) 6 13 D) 6 14

Mathematics
1 answer:
Natali [406]3 years ago
6 0

Answer:

B

Step-by-step explanation:

to simplify a fraction, divide numerator/ denominator by the largest common factor, often called cancelling

the largest common factor of 36 and 84 is 12

\frac{36}{84} = \frac{3}{7} ← in simplest form

A fraction is in simplest form ( lowest terms ) when no factor but 1 divides into the numerator/ denominator.


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The fiscal policy decition will derive in a deficit by at least $50 billion in the country federal budget.

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Remember that changes in fiscal policy, imply decreases and increases to taxes and government spending.

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I dont get it PLEASEE I NEED HELP
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Answer:

Step-by-step explanation:

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Find a point on the curve x^3+y^3=11xy other than the origin at which the tangent line is horizontal.
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Compute the derivative dy/dx using the power, product, and chain rules. Given

x³ + y³ = 11xy

differentiate both sides with respect to x to get

3x² + 3y² dy/dx = 11y + 11x dy/dx

Solve for dy/dx :

(3y² - 11x) dy/dx = 11y - 3x²

dy/dx = (11y - 3x²)/(3y² - 11x)

The tangent line to the curve is horizontal when the slope dy/dx = 0; this happens when

11y - 3x² = 0

or

y = 3/11 x²

(provided that 3y² - 11x ≠ 0)

Substitute y into into the original equation:

x³ + (3/11 x²)³ = 11x (3/11 x²)

x³ + (3/11)³ x⁶ = 3x³

(3/11)³ x⁶ - 2x³ = 0

x³ ((3/11)³ x³ - 2) = 0

One (actually three) of the solutions is x = 0, which corresponds to the origin (0,0). This leaves us with

(3/11)³ x³ - 2 = 0

(3/11 x)³ - 2 = 0

(3/11 x)³ = 2

3/11 x = ³√2

x = (11•³√2)/3

Solving for y gives

y = 3/11 x²

y = 3/11 ((11•³√2)/3)²

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2 years ago
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the
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Answer:

So, the volume V is

V=\frac{14\pi}{3}

Step-by-step explanation:

We have that:

y=7x\\\\y=0\\\\x=1\\\\x=-4\\

We have the formula:

V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\g(x)>f(x).

We calculate the volume V, we get

V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\V=2\pi\int_0^1 x(7x-0)\, dx\\\\V=2\pi\int_0^1 7x^2\, dx\\\\V=2\pi\cdot 7\left[\frac{x^3}{3}\right]_0^1\\\\V=14\pi\left(\frac{1}{3}-\frac{0}{3}\right)\\\\V=\frac{14\pi}{3}

So, the volume V is

V=\frac{14\pi}{3}

We use software to draw the graph.

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Gabby is buying flowers for a friend. She can choose daisies, carnations, or sunflowers. She can put the flowers in a clear, red
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Answer:

Daisies: Clear vase

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Step-by-step explanation:

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