Answer:
2.0*10^4
Step-by-step explanation:
words
26 categories
so there is an average of 2.0*10^4 words per letter
Answer:
Correlation
Step-by-step explanation:
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y = 7x - 4x²
<span>7x - 4x² = 0 </span>
<span>x(7 - 4x) = 0 </span>
<span>x = 0, 7/4 </span>
<span>Find the area of the bounded region... </span>
<span>A = ∫ 7x - 4x² dx |(0 to 7/4) </span>
<span>A = 7/2 x² - 4/3 x³ |(0 to 7/4) </span>
<span>A = 7/2(7/4)² - 4/3(7/4)³ - 0 = 3.573 </span>
<span>Half of this area is 1.786, now set up an integral that is equal to this area but bounded by the parabola and the line going through the origin... </span>
<span>y = mx + c </span>
<span>c = 0 since it goes through the origin </span>
<span>The point where the line intersects the parabola we shall call (a, b) </span>
<span>y = mx ===> b = m(a) </span>
<span>Slope = m = b/a </span>
<span>Now we need to integrate from 0 to a to find the area bounded by the parabola and the line... </span>
<span>1.786 = ∫ 7x - 4x² - (b/a)x dx |(0 to a) </span>
<span>1.786 = (7/2)x² - (4/3)x³ - (b/2a)x² |(0 to a) </span>
<span>1.786 = (7/2)a² - (4/3)a³ - (b/2a)a² - 0 </span>
<span>1.786 = (7/2)a² - (4/3)a³ - b(a/2) </span>
<span>Remember that (a, b) is also a point on the parabola so y = 7x - 4x² ==> b = 7a - 4a² </span>
<span>Substitute... </span>
<span>1.786 = (7/2)a² - (4/3)a³ - (7a - 4a²)(a/2) </span>
<span>1.786 = (7/2)a² - (4/3)a³ - (7/2)a² + 2a³ </span>
<span>(2/3)a³ = 1.786 </span>
<span>a = ∛[(3/2)(1.786)] </span>
<span>a = 1.39 </span>
<span>b = 7(1.39) - 4(1.39)² = 2.00 </span>
<span>Slope = m = b/a = 2.00 / 1.39 = 1.44</span>
<span><span>0.75<span>(<span><span>5v</span>+11</span>)</span></span>−<span>0.25<span>(<span>11+v</span>)
</span></span></span>Distribute:
<span>=<span><span><span><span><span>(0.75)</span><span>(<span>5v</span>)</span></span>+<span><span>(0.75)</span><span>(11)</span></span></span>+<span><span>(<span>−0.25</span>)</span><span>(11)</span></span></span>+<span><span>(<span>−0.25</span>)</span><span>(v)</span></span></span></span><span>=<span><span><span><span><span><span>3.75v</span>+8.25</span>+</span>−2.75</span>+</span>−<span>0.25v
</span></span></span>Combine Like Terms:
<span>=<span><span><span><span>3.75v</span>+8.25</span>+<span>−2.75</span></span>+<span>−<span>0.25v</span></span></span></span><span>=<span><span>(<span><span>3.75v</span>+<span>−<span>0.25v</span></span></span>)</span>+<span>(<span>8.25+<span>−2.75</span></span>)</span></span></span><span>=<span><span>3.5v</span>+5.5
</span></span>Answer:<span>=<span><span>3.5v</span>+<span>5.5
hope this helps you!</span></span></span>
Answer:
1 foot?
Step-by-step explanation:
You subtract 13 from 12 to get the base divider.
