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3 years ago

Evaluate by using the order of operations: 2+3(5-3)^2÷12

Mathematics

1 answer:

swat323 years ago

6 0

PEMDAS

2+3(2)^2/12

2+3(4)/12

2+12/12

2+1

Answer: 3

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3+5i/-2+3i perform operation

melisa1 [442]

Answer:

$\dfrac{9}{13}-\dfrac{19}{13}i$

Step-by-step explanation:

Remember $i^2=-1$

You are given the fraction $\dfrac{3+5i}{-2+3i}$

First, multiply the numerator and the denominator by -2-3i:

$\dfrac{3+5i}{-2+3i}=\dfrac{(3+5i)(-2-3i)}{(-2+3i)(-2-3i)}=\dfrac{(3+5i)(-2-3i)}{(-2)^2-(3i)^2}=\dfrac{(3+5i)(-2-3i)}{4-9i^2}=\dfrac{(3+5i)(-2-3i)}{4+9}$

This gives you 13 in denominator, now multiply two complex numbers in numerator:

$(3+5i)(-2-3i)=-6-9i-10i-15i^2=-6-19i+15=9-19i$

Thus, the initial fraction is

$\dfrac{9-19i}{13}=\dfrac{9}{13}-\dfrac{19}{13}i$

4 0

3 years ago

Identify the radius, height, and diameter of the cylinder.

Svetach [21]

Please mark me the braniliest

Answer:

Radius = 12in

Diameter = 24in

Height = 30in

Step-by-step explanation:

Trust me I took the test

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4 years ago

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3. Find the length of the arc on a circle of radius r = 9 feet intercepted by a central angle 0 = 75°. Round your answer to two

yarga [219]

Answer:

3.75π or 11.780972451

Step-by-step explanation:

Equation = 0/360 x 2πr

75/360 x 2π9

Solve

3.75π or 11.780972451

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3 years ago

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Is this equation an identity?<br><br> -5w − 8 = 1 − 2w

Flauer [41]

Answer:

-3w = 9

w = -3

yes, it is an identity

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4 years ago

Lucia has 50 sports cards she has 20 football cards 10 baseball card 15 basketball card and five hockey cards a single card is s

Ket [755]

The probability that the card is a football card is 20 out of 50 or 40%
the probability that the card is a basketball card is 10 out of 50 or 20%

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4 years ago

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