Answer:
70
Step-by-step explanation i subtracted but im not good at math so dont take my word for it
1/6 because 3 goes into 3 once, and 3 goes into 18 6 times. So the fraction is 1/6
<h3>
Answer:</h3>
- A
- B
<h3>
Step-by-step explanation:</h3>
1. A decrease of 3.8% is equivalent to a multiplier fraction of -0.038. The only answer choice that has such a multiplier is A.
In an instance such as this, the "rate" is usually some (fractional) change in some period of time. Since the exponent must be unitless, the rate is effectively (some fraction) "per year" so that multiplying by "t" years cancels the units and results in a pure number.
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<em>Comment on the exponential</em>
If the actual change were -3.8% per year, the exponential term would look like (1 - 0.038)^t = 0.962^t. By writing it as e^(-0.038t), the decrease is effectively compounded continuously. As a result, over a year's time, the decrease is actually about 3.73%, not 3.8%.
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2. If ║x/2║ is a magnitude function, answer choices B and D are equivalent. Thus, we must assume it is a "greatest integer" function. Then the number of desserts prepared will be ║x/2║, and the corresponding revenue will be 1.2║x/2║. Since x is in minutes, 2 to 4 hours will be 120–240 minutes. The appropriate choice is B.
It's <span>extraneous. I know this because it leads to a straight answer.
</span>
<span><span><span><span>3x</span>+5</span>+<span>15</span></span>=<span><span>2x</span>+5</span></span><span><span><span><span>
26x</span>+15</span><span>5x</span></span>=<span><span>2x</span>+5</span></span>
<span><span><span>26x</span>+15</span>=<span><span>10<span>x2</span></span>+<span>25x</span></span></span><span><span><span><span>
26x</span>+15</span>−<span>(<span><span>10<span>x2</span></span>+<span>25x</span></span>)</span></span>=<span><span><span>10<span>x2</span></span>+<span>25x</span></span>−<span>(<span><span>10<span>x2</span></span>+<span>25x</span></span>)
</span></span></span>
−10x2+x+15=0<span>
x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>
x=<span><span><span>−<span>(1)</span></span>±<span>√<span><span><span>(1)</span>2</span>−<span><span>4<span>(<span>−10</span>)</span></span><span>(15)</span></span></span></span></span><span>2<span>(<span>−10</span>)</span></span></span></span><span>
x=<span><span><span>−1</span>±<span>√601</span></span><span>−20</span></span></span><span><span>
x=<span><span>120</span>+<span><span><span><span><span>−1</span>20</span><span>√601</span></span><span> or </span></span>x</span></span></span>=<span><span>120</span>+<span><span>120</span><span>√601</span></span></span></span><span>
x=<span><span>120</span>+<span><span><span>−1</span>20</span><span>√601
</span></span></span></span><span>
x=<span><span>120</span>+<span><span>120</span><span>√601</span></span></span></span>
<span><span>x=<span><span>120</span>+<span><span><span><span><span>−1</span>20</span><span>√601</span></span><span> or </span></span>x</span></span></span>=<span><span>120</span>+<span><span>120</span><span>√<span>601
Hoped I helped!</span></span></span></span></span>
Answer: 17.5 units.
Step-by-step explanation:
The triangle LAY is a similar triangle to LYW. It has the same angle measures, but different side lengths. The hypotenuse of LAY is the line LY, while the hypotenuse of LYW is the line LW.
We can use the line LY to find LW.
Use the Pythagorean Theorem to find LY:
(3.5)^2 + 7^2 = 61.25
So, LY has a length of 
.
You can then use proportions to find the distance of LW.
The line LA is the base of the smaller triangle, and the line LY is the base of the larger triangle.
The line LY is the hypotenuse of the smaller triangle, and the line LW is the hypotenuse of the larger triangle.
You can then cross multiply to get this equation:
So, the line LW has a length of 17.5.
