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2 years ago

Factor the following expression 27y3 -343

1 answer:

4 0

27y^3 -343 starts out with 27y^3, and 343 is the cube of 7. Thus, we know immediately that 27y3 -343 is the diffeence of two squares.

The appropriate rule is a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Here, we have 27y3 -343 = (3y - 7)(9y^2 + 12y + 49)

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PLEASE HELP ME ASAP!!!!

kirill115 [55]

Answer:

y= 5x + 3

Step-by-step explanation:

This is because you solve for slope, which is 5, then plug that into point slope form to get:

y - 8 = 5(x - 1)

y - 8 = 5x - 5

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2 years ago

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Can someone please help me I’ve tried so many ways and still can’t get the answer.

mr Goodwill [35]

Answer:

15.22

Step-by-step explanation:

The equation of the circumference of a circle is 2(pi)r

This is actually because 2pi is angle of the arc that makes up the full circle (radians of course)

so a simple formula is:

arc length in radians X radius

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2 years ago

Which fraction has repeating decimal as it’s decimal expansion

Elis [28]

Step-by-step explanation:

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2 years ago

A cylinder is 8 inches high. The circumference of the base 6pi inches. Find the volume

OverLord2011 [107]

The cylinder is 48 in volume

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2 years ago

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Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are asfollows:S

Thepotemich [5.8K]

Answer and explanation:

Given : Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are as follows :

Strength Strength

High Low

High conductivity 74 8

Low conductivity 15 3

To find :

a) If a stand is randomly selected, the probability that is conductivity is high and its strength is high

The favorable outcome is 74

The probability is given by,

$P=\frac{74}{100}=0.74$

b) If a stand is randomly selected, the probability that its conductivity is low or strength is low

Conductivity is low A= 15+3=18

Strength is low B= 8+3=11

Conductivity is low and strength is low $A\cap B=3$

Probability is given by,

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

$P(A\cup B)=\frac{18}{100}+\frac{11}{100}-\frac{3}{100}$

$P(A\cup B)=0.18+0.11-0.03$

$P(A\cup B)=0.26$

c) Consider the event that a strand low conductivity and the event that the strand has a low strength. Are these tow events mutually exclusive?

Since the events the stand has low conductivity and the stand has low strength are not mutually exclusive, since there exists some cases in which both the events coincide. i.e. Intersection of both the events exists with probability 0.03.

8 0

2 years ago