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Shtirlitz [24]
3 years ago
10

What is the probability that one of the new parts produced will be over 1.412 cm long?

Mathematics
1 answer:
Aliun [14]3 years ago
3 0

Answer:

Hello

Step-by-step explanation:

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The length of a reclangle can be represented by the expression 2x - 1. The width of the same rectangle can be represented by the
Nitella [24]

Answer:

2x^3 - 3x^2 + 7x - 3

Step-by-step explanation:

Area = length * width

= (2x - 1)(x^2 - x + 3)

= 2x(x^2 - x + 3) - 1(x^2 - x + 3)

= 2x^3 - 2x^2 + 6x - x^2 + x - 3

= 2x^3 - 3x^2 + 7x - 3

5 0
2 years ago
I need help will give brainliest if you draw a model
Sholpan [36]
There are 4 meatloafs and each loafs are cut into fourths or 4 pieces.

4 groups of 4

Or

4 * 2

Or

4 + 4 + 4 + 4

= 16

8 0
3 years ago
Read 2 more answers
Divide 9x ^ 3 + 18x ^ 2 - 13x + 5 by 3x - 1 using division and write the division in the form P = DQ + R
lana66690 [7]

Answer:

\frac{9x^3\:+\:18x\:^2\:-\:13x\:+\:5}{3x-1}=9x^3+18x^2-13x+5

Step-by-step explanation:

DIVISION ALGORITHM: If p(x) and d(x)\neq 0  are polynomials, and the degree of d(x) is less than or equal to the degree of f(x),  then there exist unique polynomials q(x) and r(x), so that

                                               \frac{p(x)}{d(x)} =q(x)+\frac{r(x)}{d(x)}

and so that the degree of r(x)  is less than the degree of d(x).

To find \frac{9 x^{3} + 18 x^{2} - 13 x + 5}{3 x - 1} you must:

\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}9x^3+18x^2-13x+5\\\mathrm{and\:the\:divisor\:}3x-1\mathrm{\::\:}\frac{9x^3}{3x}=3x^2

\mathrm{Quotient}=3x^2

\mathrm{Multiply\:}3x-1\mathrm{\:by\:}3x^2:\:9x^3-3x^2\\\mathrm{Subtract\:}9x^3-3x^2\mathrm{\:from\:}9x^3+18x^2-13x+5\mathrm{\:to\:get\:new\:remainder}\\

\mathrm{Remainder}=21x^2-13x+5

Therefore,

\frac{9x^3+18x^2-13x+5}{3x-1}=3x^2+\frac{21x^2-13x+5}{3x-1}

\mathrm{Divide}\:\frac{21x^2-13x+5}{3x-1}

\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}21x^2-13x+54\\\mathrm{and\:the\:divisor\:}3x-1\mathrm{\::\:}\frac{21x^2}{3x}=7x\\\\\mathrm{Quotient}=7x

\mathrm{Multiply\:}3x-1\mathrm{\:by\:}7x:\:21x^2-7x\\\mathrm{Subtract\:}21x^2-7x\mathrm{\:from\:}21x^2-13x+5\mathrm{\:to\:get\:new\:remainder}\\\\\mathrm{Remainder}=-6x+5

Therefore,

\frac{21x^2-13x+5}{3x-1}=7x+\frac{-6x+5}{3x-1}\\\\\frac{9x^3+18x^2-13x+5}{3x-1}=3x^2+7x+\frac{-6x+5}{3x-1}

\mathrm{Divide}\:\frac{-6x+5}{3x-1}

\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}-6x+5\\\mathrm{and\:the\:divisor\:}3x-1\mathrm{\::\:}\frac{-6x}{3x}=-2\\\\\mathrm{Quotient}=-2

\mathrm{Multiply\:}3x-1\mathrm{\:by\:}-2:\:-6x+2\\\mathrm{Subtract\:}-6x+2\mathrm{\:from\:}-6x+5\mathrm{\:to\:get\:new\:remainder}\\\\\mathrm{Remainder}=3

Therefore,

\frac{-6x+5}{3x-1}=-2+\frac{3}{3x-1}\\\\\frac{9x^3+18x^2-13x+5}{3x-1}=3x^2+7x-2+\frac{3}{3x-1}

6 0
4 years ago
Lyles bought a pack of 12 cookies. One-third of the cookies are peanut butter. How many of the cookies in the pack are peanut bu
DanielleElmas [232]
Hi! :)

So since you're trying to find \frac{1}{3} of 12, you would just need to divide 12 by 3. The answer to this would be that 4 of the cookies were peanut butter.

Hope this helps!
8 0
3 years ago
The slope of the line shown in the graph is<br> and the y-intercept of the line is
Katen [24]

Answer:

y-intercept is 6, the slope is 2/3

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

6 0
2 years ago
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