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2 years ago

Which expression represent a number that is one fourth as great as 10 - 2

Mathematics

2 answers:

lidiya [134]2 years ago

5 0

Answer:

Step-by-step explanation:

wlad13 [49]2 years ago

4 0

Answer:

vyvjkyivfiytgigtf 7igggg8t79

Step-by-step explanation:

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Write the next three terms to the geometric sequence 6,-18,54

Sati [7]

The next 3 terms would be -162, 468, 1457

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2 years ago

Keith wentfor drive in his new car he drove for 86.4 miles at a speed of 54 mph for how many hours did he drive

Neporo4naja [7]

Answer is 1.6 hours
T=D/S
_=86.4/54
1.6=86.4/54
(Hopes this helps)

7 0

2 years ago

What is m over pi=7.3? Thx

Verizon [17]

M=7.3pi
M= 7.3(3.14)

8 0

3 years ago

The number of quarters required to play an arcade game varies directly with the number of levels played. The game requires 9 qua

dexar [7]

Answer:

45 quarters

Step-by-step explanation:

1. Think of this as the ration equation 9/3=x/15 where x is the number of quarters to play 15 levels

2. To solve the ratio, you need to cross multiply, and then divide

3. Multiply 9 times 15 (135)

4. Divide that number by 3 (45), and that's your answer!

5 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