M + f = 15....multiply by -5
3m + 5f = 51
-----------------
-5m - 5f = - 75 (result of multiplying by -5)
3m + 5f = 51
----------------add
-2m = - 24
m = -24/-2
m = 12 <=== 12 multiple choice questions
Answer:
2sin((1)x + 135)-3
Step-by-step explanation:
Asin(Bx+C)+D
A = amplitude = distance from top to bottom divided by 2
y value of top = -1
y value of bottom = -5
distance from top to bottom = -1 - (-5) = 4
divide by 2 to get 4/2 = 2 as our amplitude
2π/B = period
in this case, we're working in degrees for our x axis - 2π = 360°
thus, 360°/B = period
period = time it takes to get from one high to the next (alternatively, one low to the next etc.) = 360 degrees in this case
thus, 360°/B = 360°
divide both sides by 360° and multiply both sides by B to isolate B
360/360 = B = 1
phase shift = -C/B
phase shift refers to how much the graph is shifted to the left/right. normally, the middle of a sin wave is at 0, with a peak being to the right of it. now, the middle of the sin wave (which has a peak to the right of it) is at x = -135 degrees to the right of a regular sine wave
thus,
-135 degrees = -C/B
B = 1
-135 degrees = -C
C = 135 degrees
D = vertical shift
the center is now at y = -3. normally, the center is at y = 0. thus, D = -3
our formula is thus
2sin((1)x + 135)-3
Answer: 2000.18 unit^3
Step-by-step explanation:
radius = 14 / 2 = 7
V of cylinder = π x r^2 x h
= 3.14 x 7^2 x 13
= 3.14 x 49 x 13
= 2000.18 unit^3
Answer:
1.) 18 is decreasing by 83%
2.) 16 is decreasing by 12.5%
Step-by-step explanation:
Part ÷ Whole = Percent (decimal form)
1.) First, you subtract the smaller number from the larger number: 18 - 3 = 15. Then you find the percent of the part: 15 ÷ 18 = 0.833333333333. This can be rounded to 0.83. Multiply 0.83 by 100 to get the percentage: 0.83 • 100 = 83%. To check your answer, multiply 0.83 by 18. It checks out. 18 is being <em>decreased</em> by 83%.
2.) Subtract 14 from 16 to get 2. Then divide 2 by 16: 2 ÷ 16 = 0.125. Multiply that by 100: 0.125 • 100 = 12.5%. To check this, we multiply 0.125 • 16 = 2. It works. So, 16 is being <em>decreased</em> by 2%.
Hope this helps,
♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥
Multiply powers with the same base : a^b * a^c = a^(b + c)....so basically, u keep the bases and add the exponents.
dividing powers with the same base : (a^b) / (a^c) = a^(b - c)....so basically, u keep the base and subtract the exponents
raising a power to a power : (a^b)^c = a^(b * c)...so basically, u multiply the exponents