can anyone help me, i dont really understand this. ill give you all my points and brainliest. Ill mark you brainliest on all my
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The <em><u>correct answer</u></em> is:
At least 7 times.
Explanation:
Since 10% of the water in the jug is removed each time, this means that 100-10=90% of the water remains.
After two times, we would have 0.9(0.9) = 0.81 = 81% of the water; each time she pours, the number of times 0.9 is multiplied by itself changes. This makes this an exponential inequality (it is not an equation, as we want "less than half of the water"):
To solve this, we will use logarithms:
Answer:
Here's what I get.
Step-by-step explanation:
Question 4
The general equation for a sine function is
y = a sin[b(x - h)] + k
where a, b, h, and k are the parameters.
Your sine wave is
y = 3sin[4(x + π/4)] - 2
Let's examine each of these parameters.
Case 1. a = 1; b = 1; h = 0; k = 0
y = sin x
This is a normal sine curve (the red line in Fig. 1).
(Sorry. I forgot to label the x-axis, but it's always the horizontal axes)
Case 2. a = 3; b = 1; h = 0; k = 0
y = 3sin x
The amplitude changes from 1 to 3.
The parameter a controls the amplitude of the wave (the blue line in Fig. 1).
Case 3. a = 3; b = 1; h = 0; k = 2
y = 3sin x - 2
The graph shifts down two units.
The parameter k controls the vertical shift of the wave (the green line
in Fig. 1).
Case 4. a = 3; b = 4; h = 0; k = 2
y = 3sin(4x) - 2
The period decreases by a factor of four, from 2π to π/2.
The parameter b controls the period of the wave (the purple line in Fig. 2).
Case 5. a = 3; b = 4; h = -π/4; k = 2
y = 3sin[4(x + π/4)] - 2
The graph shifts π/4 units to the left.
The parameter h controls the horizontal shift of the wave (the black dotted line in Fig. 2).
Question 6
y = -1cos[1(x – π)] + 3
Effect of parameters
Refer to Fig. 3.
Original cosine: Solid red line
m = -1: Dashed blue line (reflected across x-axis)
k = 3: Dashed green line (shifted up three units)
b = 1: No change
h = π: Orange line (shifted right by π units)
