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2 years ago

11

name the algebraic property demonstrated in the example below: if x = 3 and 3 = y, then x = y. a) commutative property of additi

on b) associative property of addition c) transitive property d) symmetric property

1 answer:

Ratling [72]2 years ago

7 0

<span>if x = 3 and 3 = y, then x = y is the transitive property.</span>

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If the area of a rectangle with length (4x) is 4x2 + 12x, find the width.

8090 [49]

Answer:

The width of a rectangle is: w = x+3

Step-by-step explanation:

Given

The length of rectangle = l = 4x

The area of rectangle = A = 4x² + 12x

To determine

The width of rectangle = w = ?

We know that the formula of the area of the rectangle is

$A = wl$

substitute A = 4x² + 12x and l = 4x in the equation to determine the width w of the rectangle

4x² + 12x = w×4x

w = [4x² + 12x] / [4x]

Factor 4x² + 12x: 4x(x+3)

w = [ 4x(x+3) ] / [4x]

w = x+3

Therefore, the width of a rectangle is: w = x+3

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3 years ago

1. (a) Use the integral test to show that P[infinity] n=1 1/n4 converges. (b) Find the 10th partial sum, s10, of the series P[in

scZoUnD [109]

Answer:

Step-by-step explanation:

a) $\int\limits^{\infty} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}$

Substitute limits to get

= $\frac{1}{3}$

Thus converges.

b) 10th partial sum =

$\int\limits^{10} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}$

= $\frac{-1}{3} (0.001-1)\\= 0.333$

c) Z [infinity] n+1 1 /x ^4 dx ≤ s − sn ≤ Z [infinity] n 1 /x^ 4 dx, (1)

where s is the sum of P[infinity] n=1 1/n4 and sn is the nth partial sum of P[infinity] n=1 1/n4 .

(question is not clear)

3 0

3 years ago

F(x)=x^2-1 <br> G(x)=x-1 <br> find (f+g)(10).

WARRIOR [948]

<h2>Adding Functions</h2><h3>Answer:</h3>

$(f +g)(10) = 108$

<h3>Step-by-step explanation:</h3>

Before we can solve for $(f +g)(10)$ , we need to know how $(f +g)(x)$ is defined.

$(f +g)(x) = f(x) +g(x) \\ (f +g)(x) = (x^2 -1) +(x -1) \\ (f +g)(x) = x^2 -1 +x -1 \\ (f +g)(x) = x^2 +x -2$

We can now solve for $(f +g)(10)$ :

$(f +g)(10) = (10)^2 +(10) -2 \\ (f +g)(10) = 100 +10 -2 \\ (f +g)(10) = 108$

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2 years ago

Chords and Arcs - Guided Practice

Mariulka [41]

Answer:

Step-by-step explanation:

A) 120 / 2 = 60°

B) 180 - 90 60 = 30°

C) 60° same as arc length GE in part A above

D) 9 units = Rsinθ = 18sin30

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2 years ago

A cone has a height of 4, diameter of 6, and a slant length of 5. What is the volume of the cone

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Answer:

the answer is 37.68

Step-by-step explanation:

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3 years ago