Answer:
(a) or
(b) or
Step-by-step explanation:
Given
--- North Dakota
--- Cheyenne, Wyoming
Solving (a): Inequality to compare both temperatures
From the given temperatures, we can conclude that:
or
Because
i.e. 1 is greater than -2
or
i.e. -2 is less than 1
Solving (b): Inequality to compare the absolute values of the temperatures
We have:
The absolute values are:
By comparison:
or
Because
i.e. 2 is greater than 1
or
i.e. 1 is less than 2
The slope-intercept form of a line:
We have:
Substitute:
Put the values of coordinates of the point (1, 5) to the equation of a line:
Answer:
Answer:
{-π/2, π/2}
Step-by-step explanation:
Rewrite this as:
7sin^2 x - 14sin x + 7 = 0. Reduce this result by dividing all terms by 7:
sin^2 x - 2sin x + 1
Temporarily replace "sin x" with y:
y^2 - 2y + 1 = 0
Solve this through factoring: (y - 1)^2 = 0, or y - 1 = ± 0, or y = ±1
Recalling that y = sin x, we write
sin x = ±1, whose solutions are sin x = 1 and sin x = -1
The solution of sin x = 1 is π/2 and that of sin x = -1 is -π/2
and so the solution set is {-π/2, π/2}
1 gallon = 16 cups
1 quart = 4 cups
1 pint = 2 cups
Therefore...
Multiply
5 gallons × 16 cups = 80 cups
12 quarts × 4 cups = 48 cups
7 pints × 2 cups = 14 cups
Then...
Addition
80 cups + 48 cups + 14 cups = 142 cups
Answer
Myong has 142 cups of rainwater after 3 weeks of collecting rainwater.