3 x 1/4= 3/4
3/3 x 4/4=1
1/4 x 3/4=3/16
4 x 1/3=4/3
The answer is A 3 x 1/4
Answer:
0.75d
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
At one particular store, the sale price, s, is always 75% of the display price, d
d is the display price
%75 they are always off
d*%75
d * 0.75
<em>0.75d</em>
<em />
Answer: 0.75d
5. Given the equation y = (1/4) cos[(2pi/3)*theta]:
5a. For the general equation y = a cos(bx), the period is given by 2pi/b. In this equation, b = 2pi/3, so this means that 2pi/b = 2pi/(2pi/3) = 3. Therefore, the period of this equation is 3, and the cosine wave repeats itself every 3 x-units.
5b. For the general equation y = a cos(bx), the amplitude is given by a. Therefore the amplitude is a = 1/4, and this means that the cosine wave's range is from -1/4 to 1/4 for all values of x.
5c. The equation of the midline is y = 0. This represents the average value over the wave. This is determined by adding the highest and lowest values of the range and taking the average, in this case, 1/4 + (-1/4) = 0, and 0 / 2 = 0. Another way to do this is using the general equation y = a cos(bx) + c, where the midline's equation is y = c. In this case, there is no value of c in the given, implying that c = 0, and the midline is y = 0.
6. Let the horizontal distance be x. Then tan42 = h/x, and h = x tan42. Then using the Pythagorean theorem: 3280^2 = h^2 + x^2
3280^2 = x^2 (tan42)^2 + x^2
3280^2 = x^2 [(tan42)^2 + 1]
x = 2437.52
Therefore, h = x tan42 = 2,194.75 ft.
Answer:
<u>Given:</u>
- 2x + 9 < 0 ⇒ 2x < - 9 ⇒ x < - 4.5
- x > -12
<u>Combined we have:</u>
<u>The integers in the same interval are:</u>
- x ∈ {-11, -10, -9, -8, -7, -6, -5}
Minimum possible number of guests is zero.
C = 60 + 15(0) = $60
Maximum possible number of guests is 100.
C = 60 + 15(100) = $1,560
That looks like Choice (d).
