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Ivenika [448]
3 years ago
7

To increase an amount by 30%, what single multiplier would you use? and To decrease an amount by 30%, what single multiplier wou

ld you use?
Mathematics
1 answer:
Kamila [148]3 years ago
6 0

Answer:

To increase, use 1.3

to decrease, use .7

Step-by-step explanation

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Find integrate (1/(xsqrt(1+(lnx)^2)),1,e,x) ...?
prohojiy [21]
Note that x² + 2x + 3 = x² + x + 3 + x. So your integrand can be written as 

<span>(x² + x + 3 + x)/(x² + x + 3) = 1 + x/(x² + x + 3). </span>

<span>Next, complete the square. </span>

<span>x² + x + 3 = x² + x + 1/4 + 11/4 = (x + 1/2)² + (√(11)/2)² </span>

<span>Also, for the x in the numerator </span>

<span>x = x + 1/2 - 1/2. </span>

<span>So </span>

<span>(x² + 2x + 3)/(x² + x + 3) = 1 + (x + 1/2)/[(x + 1/2)² + (√(11)/2)²] - 1/2/[(x + 1/2)² + (√(11)/2)²]. </span>

<span>Integrate term by term to get </span>

<span>∫ (x² + 2x + 3)/(x² + x + 3) dx = x + (1/2) ln(x² + x + 3) - (1/√(11)) arctan(2(x + 1/2)/√(11)) + C </span>

<span>b) Use the fact that ln(x) = 2 ln√(x). Then put u = √(x), du = 1/[2√(x)] dx. </span>

<span>∫ ln(x)/√(x) dx = 4 ∫ ln u du = 4 u ln(u) - u + C = 4√(x) ln√(x) - √(x) + C </span>

<span>= 2 √(x) ln(x) - √(x) + C. </span>

<span>c) There are different approaches to this. One is to multiply and divide by e^x, then use u = e^x. </span>

<span>∫ 1/(e^(-x) + e^x) dx = ∫ e^x/(1 + e^(2x)) dx = ∫ du/(1 + u²) = arctan(u) + C </span>

<span>= arctan(e^x) + C.</span>
4 0
3 years ago
What are 3 input and output values for the equation y=-x^2+4?
pogonyaev
Here, The function:  y = -x² + 4
Input values would be x coordinates & output values would be y.

When, x = 1, y = (-1)² + 4 = 1 + 4 = 5
x = 2, y = (-2)² + 4 = 4 + 4 = 8
x = 3, y = (-3)² + 4 = 9 + 4 = 13

In short, Your Three input values are: 1, 2, 3
Three Output values are: 5, 8, 13

Hope this helps!
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Suppose that you have he option to buy an item with either cash or credit. Under which condition would you use credit?
Shkiper50 [21]
If they didn't take cash
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3 years ago
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Can someone please explain to me how to find the answer 7+ 4x + 5x
EleoNora [17]
Since you have two numbers that have a (x) at the ends of them, you add those first then add seven which will end up being 9x+7
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Sound travels through air at about 344 meters per seconds when the temp. is 20 degrees c. If Enrique lives 2 kilometres from the
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Answer:

(344*20)  +  ( 2*20)  = (20*2) = ?

Step-by-step explanation:

8 0
3 years ago
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