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3 years ago

What is the value of y in the equation 2(3y-4)=10?

Mathematics

2 answers:

Marta_Voda [28]3 years ago

8 0

$2(3y-4)=10 \\ 6y-8=10 \\ 6y=18 \\ y= \frac{18}{6} \\ \boxed {y=3}$

USPshnik [31]3 years ago

3 0

$6y-8=10$

$6y=18$

$y=3$

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vesna_86 [32]

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3 years ago

If z=3−5i, find |z|.

geniusboy [140]

Answer:

Step-by-step explanation:

The absolute value of z is the distance between the point graphed from the complex number and the origin on a complex plane. In a complex plane, the x axis is replaced by R, real numbers, and the y axis is replaced by i, the complex part of the complex number. Our real number is positive 3 and the complex number is -5, so we go to the right 3 and then down 5 and make a point. Connect that point to the origin and then connect the point to the x axis at 3 to construct a right triangle that has a base of 3 and a length of -5. To find the distance of the point to the origin is to find the length of the hypotenuse of that right triangle using Pythagorean's Theorem. Therefore:

$|z|=\sqrt{(3)^2+(-5)^2}$ and

$|z|=\sqrt{9+25}$ and

$|z|=\sqrt{34}$

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3 years ago

Evaluate: 11 + sqrt(-4 + 6×4÷3)

Murrr4er [49]

Answer:

$11+\frac{2\sqrt{15}}{3}$

Step-by-step explanation:

$11 + \sqrt{(-4 + 6\times4\div3)} \\\\11+\sqrt{\frac{-4+6\times \:4}{3}}\\\\\sqrt{\frac{-4+6\times \:4}{3}}=\frac{2\sqrt{5}}{\sqrt{3}}\\\\=11+\frac{2\sqrt{5}}{\sqrt{3}}\\\\\frac{2\sqrt{5}}{\sqrt{3}}=\frac{2\sqrt{15}}{3}\\\\=11+\frac{2\sqrt{15}}{3}$

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3 years ago

Given rectangles LMNO and PQRS, which statement explains a way to determine if the two figures are similar?

allochka39001 [22]

Answer:

Step-by-step explanation:

<u>Definition:</u> Two rectangles are similar when they have corresponding sides proportional are proportional by dilation.

For example, rectangles with sides 3 cm, 4cm and 6 cm, 8 cm are similar, but rectangles with sides 3 cm, 4 cm and 6 cm, 10 cm are nor similar.

Since all angles in rectangle are always right angles, then options A and C are false (in terms of your question).

Option D is false too, because translation doesn't change the length, and in this case two rectangles are congruent.

Option B is true according to definition.

3 0

3 years ago

Read 2 more answers

An installation technician for a specialized communication system is dispatched to a city only when 3 or more orders have been p

bazaltina [42]

Answer:

0.3233

0.09

Step-by-step explanation:

Given that :

Mean, λ = 0.25 for a 100,000 per week

For a population of 800,000 :

λ = 800,000 / 100,000 * 0.25 = 8 * 0.25 = 2 orders per week

Probability that technician is required after one week ;

After one week, order is beyond 2 ; hence, order, x ≥ 3

P(x ≥ 3) = 1 - [p(x=0) + p(x= 1) + p(x =2)]

P(x ≥ 3) = 1 - e^-λ(1 + 2¹/1! + 2²/2!)

P(x ≥ 3) = 1 - e^-2(1+2+2) = 1 - e^-2*5 = 1 - e^-10

P(x ≥ 3) = 1 - e^-2 * 10

P(x ≥ 3) = 1 - 0.6766764

P(x ≥ 3) = 0.3233

B.)

Mean, λ for more than 2 weeks = 2 * 2 = 4

P(x < 2) = p(x = 0) + p(x = 1)

P(x < 2) = e^-4(0 + 4^1/1!)

P(x < 2) = e^-4(0 + 4) = e^-4(5)

P(x < 2) = e^-4(5) = 0.0183156 * 5 = 0.0915

P(x < 2) = 0.09

8 0

3 years ago