Answer:
$34.56
Step-by-step explanation:
She will save 8 dollars from the discount.
The tax will be $0.56.
The final price of the shirt will be $34.56
Answer:
a) 4.4583 b) Fiona
Step-by-step explanation:
First find the average of the numbers by adding them all together then dividing them by the amount of numbers given:
Then find the difference between each number and the answer you got
Which is
Which comes out to
There is a typo in the available options for this problem. BOTH options B and E are 3/25+4/25i. One of those options should be 3/25-4/25i. So check your problem carefully and be sure to select the correct answer.
1. D. 1 + 0i
2. A. -7/25 + 24/25i
3. B or E, 3/25 + 4/25i
4. F. 3-4i
5. B or E, 3/25 - 4/25i
6. C. -7/25 -24/25i
For this problem, you need to perform complex division, then select the matching answer from the available options. In order to perform a complex division, simply multiply the numerator and denominator by the conjugate of the denominator. The conjugate of the denominator is simply the denominator with the sign of the complex term inverted. So:
1. i/i
Let's rewrite as (0 + i)/(0 + i)
(0 + i)/(0+i) * (0 - i)/(0 - i)
= (0*0 + 0*i - 0*i - i^2)/(0*0 + 0*i - 0*i - i^2)
= (0 - -1)/(0 - -1)
= 1/1
= 1 + 0i which is option "D"
2. 3+4i/3-4i
3+4i/3-4i * 3+4i/3+4i
= (9 + 12i + 12i + 16i^2) / (9 - 12i + 12i - 16i^2)
= (-7 + 24i) / 25
= -7/25 + 24/25i, which matches option "A"
3. 1/3-4i
1/3-4i * 3+4i/3+4i
= (3 + 4i)/(9 + 12i - 12i - 16i^2)
= (3 + 4i)/(9 - -16)
= (3 + 4i)/25
= 3/25 + 4/25i, which matches option "B" or "E". BE SURE TO SELECT THE
CORRECT OPTION. You want 3/24 PLUS 4/25i.
4. 3-4i/1
3-4i/1 * 1/1 = 3-4i, which matches option "F"
5. 1/3+4i
1/3+4i * 3-4i/3-4i
= 3-4i/(9 + 12i - 12i - 16i^2)
= 3-4i/25
= 3/25 - 4/25i, which matches option "B" or "E". BE SURE TO SELECT THE
CORRECT OPTION. You want 3/24 MINUS 4/25i.
6. 3-4i/3+4i
3-4i/3+4i * 3-4i/3-4i
= (9 - 12i - 12i + 16i^2) / (9 - 12i + 12i - 16i^2)
= (9 - 12i - 12i + -16) / (9 - 12i + 12i - -16)
= (-7 - 24i) / 25
= -7/25 -24/25i, which matches option "C"
The blue diamond shape has 4 lines of symmetry
The sun has 8 lines of symmetry
