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shusha [124]
3 years ago
13

Andrea's Sequoia gets 12 miles per gallon while driving in the city, and 20 miles per gallon while on the highway. The last time

she filled up the car it took 16 gallons of gas, and she had driven 280 miles since the previous fill-up. How many miles of that 280 were city driving?
Mathematics
1 answer:
Oxana [17]3 years ago
4 0

Answer:

60miles

Step-by-step explanation:

if they drove x miles in the city and y miles on the highway then you know that

x + y = 280

x/12 + y/20 = 16

x + 12y/20 = 16*12 = 192

8y/20 = 88

y = 220

x = 280-y = 280-220 = 60

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(sqrt3-sqrt3i)^4
Ludmilka [50]

The increasing order of the complex numbers is (√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ =  (-1 + √3i)¹² < (√3 - √3i)⁴.

<h3>Absolute values of the complex numbers</h3>

The absolute values of the complex numbers are determined as follows;

(sqrt3-sqrt3i)^4 = (√3 - √3i)⁴

|z| = \sqrt{(\sqrt{3} )^2 + (\sqrt{3 }\times1 )^2} } \\\\|z| = \sqrt{6}

(-1+sqrt3i)^12 = (-1 + √3i)¹²

|z| = \sqrt{(-1)^2 + (\sqrt{3)^2} } \\\\|z| = \sqrt{4} \\\\|z| = 2

(sqrt 3-i)^6 = (√3 - i)⁶

|z| = \sqrt{(\sqrt{3})^2 + (-1)^2 } \\\\|z| = \sqrt{4} \\\\|z| = 2

(sqrt2-sqrt2i)^8 = (√2 - √2i)⁸

|z| = \sqrt{(\sqrt{2} )^2 + (\sqrt{2})^2 } \\\\|z| = 2

(sqrt2-i)^6 = (√2 - i)⁶

|z| = \sqrt{(\sqrt{2})^2 + (-1)^2} } \\\\|z| = \sqrt{3}

Increasing order of the complex numbers;

(√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ =  (-1 + √3i)¹² < (√3 - √3i)⁴.

Learn more about complex numbers here: brainly.com/question/10662770

#SPJ1

3 0
3 years ago
Please help me out if possible.
Katena32 [7]

Answer:

C

Step-by-step explanation:

Plotting the points in a sketch quickly shows that the vertices are not at right angles to each other, thus excluding rectangle and square whose vertices are at right angles.

The best selection is a rhombus

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4 years ago
What is the missing side and what is the answer rounded to the nearest tenth?
pogonyaev
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3 years ago
Dave bought a new game for $28 the tax rate was 7% how much was the tax and total price?
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Answer:

Step-by-step explanation:

$ 29.96

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