Answer:
emissions = 40·0.65^t
Step-by-step explanation:
The decay factor in an exponential equation is 1+(decay rate), so the equation can be written ...
amount = (initial amount)×(decay factor)^t
where the decay factor applies to 1 unit of time t. Filling in the given values, we find ...
decay factor = 1 +(-35%) = 0.65 . . . . for 1 year
emissions = 40×0.65^t . . . . . million tons, for t in years
It would be 4/3 ant 6/7 is the best
Solution:
<u>First, let's find the surface area of the triangular prism.</u>
- 2(1/2 x 8 x 12) + 2(10 x 6) + (12 x 6) = Surface area of triangular prism
- => (8 x 12) + 2(60) + (72) = Surface area of triangular prism
- => (96) + 120 + 72 = Surface area of triangular prism
- => 96 + 192 = Surface area of triangular prism
- => 288 ft² = Surface area of triangular prism
<u>Now, let's find the surface area of the rectangular prism.</u>
- 2(18 x 9) + 2(6 x 9) + 2(6 x 18)
- => 2(162) + 2(54) + 2(108)
- => 324 + 108 + 216
- => 2(324) = 648 ft²
<u>Now, add both the surface areas to find the surface area of the figure.</u>
- 288 + 648 = Surface area of figure
- => 936 ft² = Surface area of figure
The surface area of the figure is 936 ft².
Given that the function
models the concentration of a medication in the bloodstream (as a percent), hours (h) after its injection into muscle tissue.
The number of hours it will take for the concentration of the injection to be less than 0.5% is given by:
Given that the first injection was given at 8:00 am, the time the next injection should be given is 2 pm.
Numerator
<span><span>cos<span>(<span>π/2</span>−x)</span></span>=<span>cos<span>(<span>π/2</span>)</span></span><span>cosx</span>+<span>sin<span>(<span>π/2</span>)</span></span><span>sinx</span></span>
now <span><span>cos<span>(<span>π/2</span>)</span></span>=0 and <span>sin<span>(<span>π/2</span>)</span></span>=1</span>
simplifies to : 0 + sinx = sinx
Denominator
<span><span>sin<span>(<span>π/2</span>−x)</span></span>=<span>sin<span>(<span>π/2</span>)</span></span><span>cosx</span>+<span>cos<span>(<span>π/2</span>)</span></span><span>sinx</span></span>
simplifies to : cosx + 0 = cosx
<span>⇒<span><span>cos<span>(<span>π/2</span>−x)</span></span><span>sin<span>(<span>π/2</span>−x)</span></span></span>=<span><span>sinx/</span><span>cosx</span></span>=<span>tan<span>x</span></span></span>
