A chemical reaction converts a substance Ato a substance Y. At the start of the reaction, the quantity of A present is a grams.
1 answer:
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Answer:
<h2>1,920,000,000 Minutes = 32,000,000 Hours</h2>Step-by-step explanation:
Answer:
10 + 7 + 4 + . . .; n = 5
The series is arithmetic
Common difference between terms = (-3)
10 - 3 = 7
7 - 3 = 4
Or:
10 + (-3) = 7
7 + (-3) = 4
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<u>Another example</u>:
Arithmetic:
5, 9, 13, 17
common difference = 4
5 + 4 = 9
9 + 4 = 13
Geometric:
4, 8, 16, 32
4 × 2 = 8
8 × 2 = 16
16 × 2 = 32
common ratio = 2
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10 + 7 + 4 + . . .; n = 5
a₁ = 10
a₂ = 7
a₄ = a₃ + d = 4 + (-3) = 4 - 3 = 1 (d = common difference)
a₅ = a₄ - 3 = 1 - 3 = -2
Or with formula:
d = a₂ - a₁ = 7 - 10 = -3
aₙ = a₁ + (n - 1)d
fourth term = a₄ = 10 + (4 - 1)(-3) = 10 + 3(-3) = 10 + (-9) = 10 - 9 = 1
fifth term = a₅ = 10 + (5 - 1)(-3) = 10 + 4(-3) = 10 + (-12) = 10 - 12 = -2
Sum of the finite series (if n = 5):
Manual count: S₅ = 10 + 7 + 4 + 1 + (-2) = 20
Answer:
True
Step-by-step explanation:
Suppose you have a quadratic function
Factoring this expression results in:
Where h and k are real numbers.
Then the function is equal to 0 when and when
.
Therefore h and k will always be the solutions when we have the quadratic function factored in the form
Since we have ensured that the factors of the function contain only real numbers, then h and k are real numbers, and x and y must also be real numbers. Therefore solutions to an equation in this form will always be real solutions.
The statement is true