a. (–2 + 6i) – (1 – 2i)
b. (–2 + 6i) – (–1 – 2i)
c. (3 + 5i) – (2 – i)
d. (3 + 5i) – (2 + i)
Answer:
(3 + 5i) – (2 + i)
Step-by-step explanation:
meters for the dining room, and the rest for the kitchen. How many meters did she use for the
curtain in the kitchen?
Given parameters:
Total length of curtains bought = 20m
She used 8m for the living room
She used 7m for the dining room
unknown:
Quantity used for the kitchen = ?
Solution:
Quantity used for the kitchen = Total length - (living room + dining room)
Input the parameters given solve;
Quantity used for the kitchen = 20 - (8 + 7) = 5m
The length of curtain used for the kitchen is 5m
Answer: the number of four point questions in the test is 10.
the number of five point questions in the test 8
Step-by-step explanation:
Let x represent the number of four point questions in the test.
Let y represent the number of five point questions in the test.
There are 18 questions on the test. It means that
x + y = 18
Each question is worth either four or five points. The total is 80 points. This means that
4x + 5y = 80 - - - - - - - - - - - - - -1
Substituting x = 18 - y into equation 1, it becomes
4(18 - y) + 5y = 80
72 - 4y + 5y = 80
- 4y + 5y = 80 - 72
y = 8
x = 18 - y = 18 - 8
x = 10
The product of 70 and 10 to the power of 4, which can be solved using multiplication in scientific notation, is 7.0 × 105, or 700,000 in standard notation.
The question asks for the product of 70 times 10 to the power of 4. To solve this, we use the rule of multiplication in scientific notation wherein you multiply the numbers and then add the exponents. Hence, the equation is (7.0 × 101) × (1.0 × 104). In this equation, we multiply 7.0 and 1.0 to get 7.0, then add the exponents 1 and 4 to get 5. The answer is therefore 7.0 × 105, or 700,000 when written in standard notation.
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