The blue line depicted in the attached image illustrates the reflection of f(x) across the x-axis.
To elucidate, the function f(x) is an exponential function displaying the characteristics: the y-intercept calculates as f(0) = 6(0.5)⁰ = 6; the multiplicative rate of change is 0.5, signifying a decay function (decreasing); and the horizontal asymptote exists at y = 0, defining the limit of f(x) as x approaches positive infinity. The reflection across the x-axis for f(x) results in a function denoted as g(x) = -f(x), leading to g(x) reflecting the features discussed including growth into the third quadrant while never intersecting the x-axis. Therefore, using these insights, it is feasible to sketch the corresponding graph across the x-axis.
Answer:
45 grams
Step-by-step explanation:
1st order: 27 people
15 people:
100 g
Ginger: 20 g
Turmeric: 25 g
Coriander: 35 g
Cumin Seeds: 20 g
20+25+35+20=60+40=100
For 1 person:
Ginger: 1 1/3 g
Turmeric: 1 2/3 g
Coriander: 2 1/3 g
Cumin Seeds: 1 1/3 g
Multiply the total by 27
For 27 people:
Ginger: 36 g
Turmeric: 45 g
Coriander: 63 g
Cumin Seeds: 36 g
45 g for Turmeric
Assuming arcs are measured in degrees, let S represent the following sum:
S = sin 1° + sin 2° + sin 3° +... + sin 359° + sin 360°
By rearranging, S can be reformulated as
S = [sin 1° + sin 359°] + [sin 2° + sin 358°] +... + [sin 179° + sin 181°] + sin 180° +
+ sin 360°
S = [sin 1° + sin(360° – 1°)] + [sin 2° + sin(360° – 2°)] +... + [sin 179° + sin(360° – 179)°]
+ sin 180° + sin 360° (i)
However, for any real k,
sin(360° – k) = – sin k
Thus,
S = [sin 1° – sin 1°] + [sin 2° – sin 2°] +... + [sin 179° – sin 179°] + sin 180° + sin 360°
S results in 0 + 0 +... + 0 + 0 + 0 (... since sine of 180° and 360° are both equal to 0)
Therefore, S equals 0.
Each pair within the brackets negates itself, leading the sum to total zero.
∴ sin 1° + sin 2° + sin 3° +... + sin 359° + sin 360° equals 0. ✔
I hope this clarifies things. =)
Tags: sum summatory trigonometric trig function sine sin trigonometry
The solution is 24m^2; I just completed that test and that was the result.<span />
Distance formula:
5 units-4.5 units=0.5 units
Segment LM exceeds segment JK by 0.5 units.
