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3 years ago

Please check my answer I got 14/16 20 points

Mathematics

2 answers:

ella [17]3 years ago

5 0

Answer:

$\frac{49}{64}$

Step-by-step explanation:

$\frac{7}{8}$ * $\frac{7}{8}$ = $\frac{7*7}{8*8}$ = $\frac{49}{64}$

FrozenT [24]3 years ago

5 0

49/64 would be the answer

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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

2 years ago

What is the probability of rolling a number less than or equal to 8 with two dice, given that at least one of the dice must show

jeka57 [31]

List you need to see how many of are less than of euqal to 8.
(6, 1)
(6, 2)
(6, 3)
(6, 4)
(6, 5),
6, 6)
(5, 6),
4, 6)
(3, 6)
(2, 6)
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7 0

3 years ago

Read 2 more answers

The longest side of the triangle section is 4 feet shorter than twice the shortest side. The third side is 3 feet longer than th

Katarina [22]

<h3>Answers:</h3><h3>The shortest side is 15 ft</h3><h3>The middle side is 18 ft</h3><h3>The longest side is 26 ft</h3>

===========================================

Define the three sides to be a,b,c such that a < b < c

So c is the longest side, and 'a' is the shortest with b in the middle.

"longest side is 4 ft shorter than twice the shortest side" means that c = 2a-4

"third side is 3 ft longer than the shortest side" so b = a+3

Both b and c are in terms of 'a', allowing us to do substitutions like so

a+b+c = perimeter

a+b+c = 59

a+(a+3)+c = 59 .... first substitution, plug in b = a+3

a+(a+3)+(2a-4) = 59 ... second substitution, plug in c = 2a-4

4a-1 = 59 .... combine like terms

4a = 59+1 ... add 1 to both sides

4a = 60

a = 60/4 ... divide both sides by 4

a = 15

The shortest side is 15 ft

b = a+3 = 15+3 = 18

The middle side is 18 ft

c = 2a-4 = 2*15-4 = 26

The longest side is 26 ft

---------------------

Check:

The three sides should add up to a perimeter of 59 ft

a+b+c = 15+18+26 = 59

so the answer is confirmed

6 0

3 years ago

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14. If the domain of f(x)= x2 +1 is limited to {0,1,2,3), what is the maximum value of the range?

fiasKO [112]

the domain of f(x)= x2 +1 is limited to {0,1,2,3)

the maximum value will be at the maximum value of x which is at x = 3

So, the maximum value of the range will be = 3^2 + 1 = 9 + 1 = 10

7 0

1 year ago

Shelia deposited $800 into an account that earned 3% simple interest. She did not make any other deposits or withdrawals. After

erastovalidia [21]

Answer:

Sheila earned $120 in interest.

Step-by-step explanation:

In order to calculate the interest earned by Sheila we can use the simple interest formula shown bellow:

i = P*r*t

Where i is the interested earned, P is the amount invested, r is the interest rate and t is the total time. For this case we have:

i = 800*0.03*5

i = 24*5

i = 120

Sheila earned $120 in interest.

8 0

3 years ago

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