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2 years ago

Please help meeeee :(

Mathematics

1 answer:

Bond [772]2 years ago

6 0

Answer is X > 18

1. Group all constants on the right side of the inequality
X/3 - 2 > 4
Add 2 to both sides: x/3 - 2 + 2 > 4+2
Simplify the arithmetic: X/3 > 4 + 2
Simplify the arithmetic: X/3 > 6

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You roll a 6-sided die twice. What is P(1, less than 3)? Simplify

Nadya [2.5K]

Answer:

1/18

Step-by-step explanation:

Probability of 1 is 1 out of 6:

Probability of less than 3 is:

1 or 2 out of 6 = 2/6 = 1/3

P(1, less than 3) is

1/6* 1/3 =
1/18

7 0

2 years ago

Assume z = x + iy, then find a complex number z satisfying the given equation. d. 2z8 – 2z4 + 1 = 0

kodGreya [7K]

Answer: complex equations has n number of solutions, been n the equation degree. In this case:

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i11,25°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i101,25°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i191,25°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i281,25°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i78,75°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i168,75°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i258,75°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i348,75°}$

Step-by-step explanation:

I start with a variable substitution:

$Z^{4} = X$

Then:

$2X^{2}-2X+1=0$

Solving the quadratic equation:

$X_{1} =\frac{2+\sqrt{4-4*2*1} }{2*2} \\X_{2} =\frac{2-\sqrt{4-4*2*1} }{2*2}$

$X=\left \{ {{0,5+0,5i} \atop {0,5-0,5i}} \right.$

Replacing for the original variable:

$Z=\sqrt[4]{0,5+0,5i}$

or $Z=\sqrt[4]{0,5-0,5i}$

Remembering that complex numbers can be written as:

$Z=a+ib=|Z|e^{ic}$

Using this:

$Z=\left \{ {{{\frac{\sqrt{2}}{2} e^{i45°} } \atop {{\frac{\sqrt{2}}{2} e^{i-45°} }} \right.$

Solving for the modulus and the angle:

$Z=\left \{ {{\sqrt[4]{\frac{\sqrt{2}}{2} e^{i45}} = \sqrt[4]{\frac{\sqrt{2}}{2} } \sqrt[4]{e^{i45}} } \atop {\sqrt[4]{\frac{\sqrt{2}}{2} e^{i-45}} = \sqrt[4]{\frac{\sqrt{2}}{2} } \sqrt[4]{e^{i-45}} }} \right.$

The possible angle respond to:

$RAng_{12...n} =\frac{Ang +360*(i-1)}{n}$

Been "RAng" the resultant angle, "Ang" the original angle, "n" the degree of the root and "i" a value between 1 and "n"

In this case n=4 with 2 different angles: Ang = 45º and Ang = 315º

Obtaining 8 different angles, therefore 8 different solutions.

3 0

2 years ago

1.2.8 -0.9+y Your answer

Annette [7]

0.06+y simplify the expression

8 0

3 years ago

In order to solve the equation −3x + 6 = 5, the first step is to (1 point)

aliya0001 [1]

−3x + 6 = 5 | -6 (first step is: "subtract 6 from both sides" )

-3x = 5-6
-3x = -1 | /(-3) (second step is: "divide by (-3) on both sides" )

 $\displaystyle \\ 
x = \frac{-1}{-3} = \boxed{\frac{1}{3} }$

5 0

2 years ago

Read 2 more answers

HELP ME: A camera usually sells for $68. Because it was slightly damaged, it sold for $59.90, what was the rate of the discount

soldier1979 [14.2K]

12%
$68 - 59.9 = $8.1
$8.1/$68 = 0.11911764705
0.11911764705 x100 = 11.911764705
11.911764705 is rounded up to 12
12%

4 0

1 year ago

Read 2 more answers