Answer: 100pi
Step-by-step explanation:
Answer:
Step 2 because Richard multiply the powers of same base in denominator instead adding powers of same base.
Step-by-step explanation:
We are given that Richard simplified an expression in threes steps
We have to find the incorrect step in simplification of Richard
Step 1: all the exponent are multiplied by 3

Step 2:The exponents in the denominator are multiplied

Step 3:The exponents of the same base are subtracted during division


Richard makes mistake in step 2 when we multiply then power of same base should be added but Richard multiply the powers of same base in denominator.
Answer: y = 7cos(0.4π x) - 3
<u>Step-by-step explanation:</u>
The equation of a cosine function is: y = A cos(Bx - C) + D where
- Amplitude (A) is the distance from the midline to the max (or min)
- Period (P) is the length of one cosine wave --> P = 2π/B
- Phase Shift (C/B) is the horizontal distance shifted from the y-axis
- Midline (D) is the vertical shift. It is equal distance from the max and min
<u>Midline (D) = -3</u>
(-1.25, -3) is given as a point on the midline. We only need the y-value.
<u>Horizontal stretch (B) = 0.4π</u>
The max is located at (0,4) and also at (5, 4). Thus the period (length of one wave) is 5 units.
→ B = 0.4π
<u>Phase Shift (C) = 0</u>
The max is on the y-axis so there is no horizontal shift.
<u>Amplitude (A) = 7</u>
The distance from the midline to the max is: A = 4 - (-3) = 7
<u>Equation</u>
Input A = 7, B = 0.4π, C = 0, and D = -3 into the cosine equation.
y = A cos(Bx - C) + D
y = 7cos(0.4π x - 0) - 3
y = 7cos(0.4π x) - 3
Answer:
1/5
Step-by-step explanation:
You need the opposite of 5/1 which would be 1/5
Answer:
(-∞, ∞)
Step-by-step explanation:
The range of any log function is <em>all real numbers</em>.