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3 years ago

Which fraction is equal to 2/3 is it 4/14, 6/9, 5/15

Mathematics

2 answers:

madreJ [45]3 years ago

8 0

It would be 6/9, because if you multiply the numerator and denominator (2/3) by 3, it would equal to 6/9

GalinKa [24]3 years ago

4 0

The answer is 6/9 as if you multiply 2/3 by 3 you will get 6/9 so it has the same value

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Select all the statements that are true.

alexgriva [62]

Answer:

The product of 8x(5x−6) is 40x^2−48x

The product of (x−3)(5x−6) is 5x^2−21x+18

Step-by-step explanation:

<u><em>Verify each option</em></u>

Part 1) The product of 8x(5x−6) is 40x^2−48x

we have

$8x(5x-6)$

Applying distributive property

$8x(5x)-8x(6)\\40x^2-48x$

Compare with the given value

$40x^2-48x=40x^2-48x$

therefore

The statement is true

Part 2) The product of −4x(2x2+1) is −8x^3−5x

we have

$-4x(2x^{2}+1)$

Applying distributive property

$-4x(2x^{2})-4x(1)\\-8x^3-4x$

Compare with the given value

$-8x^3-4x \neq -8x^3-5x$

therefore

The statement is not true

Part 3) The product of (x−3)(5x−6) is 5x^2−21x+18

we have

$(x-3)(5x-6)$

Applying distributive property

$x(5x)-x(6)-3(5x)+3(6)\\5x^2-6x-15x+18\\5x^2-21x+18$

Compare with the given value

$5x^2-21x+18=5x^2-21x+18$

therefore

The statement is true

Part 4) The product of (2x+3)(x^2+3x−5) is 2x^3+9x^2+9x−25

we have

$(2x+3)(x^2+3x-5)$

Applying distributive property

$(2x)(x^2+3x-5)+(3)(x^2+3x-5)\\(2x^3+6x^2-10x)+(3x^2+9x-15)\\2x^3+9x^2-x-15$

Compare with the given value

$2x^3+9x^2-x-15 \neq 2x^3+9x^2+9x-25$

therefore

The statement is not true

8 0

3 years ago

The value of the definite integral / 212x – sin(x) dx / 122x-sin(x) is

blondinia [14]

Hi there!

$\boxed{= 70 + cos(12) - cos(2) \approx 71.26}$

$\int\limits^{12}_{2} {x-sin(x)} \, dx$

We can evaluate using the power rule and trig rules:

$\int x^n = \frac{x^{n+1}}{n+1}$

$\int x = \frac{1}{2}x^{2}$

$\int -sin(x) = cos(x)$

Therefore:

$\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}$

Evaluate:

$(\frac{1}{2}(12^{2})+cos(12)) - (\frac{1}{2}(2^2)+cos(2))\\= (72 + cos(12)) - (2 + cos(2))\\\\= 70 + cos(12) - cos(2) \approx 71.26$

3 0

2 years ago

First Data Corp. records indicate that in 2005, 43% of adult email users received a phishing email. A phishing email replicates

ra1l [238]

Answer:

P(x) = 45/100 = 0.45

Mean sample distribution = probability x number sampled by the survey.

Mean sample distribution = 0.45 x 800 = 360.00 to two decimal places.

Step-by-step explanation:

Convert the percentage to decimal probability.

45%. P(x) = 45/100 = 0.45

If there are ranges of probability values, we construct a probability distribution table. This is not necessary in the case of one probability value(45%)

Multiply the probability by the number adults to be surveyed on whether they have received phishing emails.

0.45 x 800 = 360.

Here, we assume that the 45% recorded by 2005 data, is still valid for the recent trends.

5 0

3 years ago

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Simplify the following expressions by combining like terms. 11x + 7 + -3x - 3

Temka [501]

Hello,

11x + 7 + -3x - 3 = 11x - 3x + 7 - 3 = (11 - 3)x + 4 = 8x + 4

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3 years ago

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Conduction can occur within a single substance, but parts of the substance must have which property? different temperatures diff

Julli [10]

Answer:

Step-by-step explanation:

answer is A

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2 years ago

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