9. MUSIC DOWNLOADING According to a study on the effect of music downloading on spending on music, 11% of all Internet users had decreased their spending on music.* We estimate that 40% of all music fans used the Internet at the time of the study.* If 20% of non-Internet users had decreased their spending on music, what percentage of those who had decreased their spending on music were Internet users? [HINT: See Examples 1 and 2.] ANSWER I 26.8%

Q: Hew. O find the root of PW=R-1)e_1 sush that I f cast < Ix 65 , we NiP.M.

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Q: 1. Find the distance between P and Q. P(−4, 12); Q(−12, 4)

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Q: With the given find its value. Using first the IBP."uv –- S v du" and evaluate.

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Q: Let C(-6,3) and D(3,0). Determine which is larger: ||CE|| or ||DE|, if E(-2,1)

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Q: 2 1) 3

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Q: .) If w varies directly as x^2 and inversely as y^3 and w= 3/4, when x = 6 and y = 2, find x when w…

A: Given that w varies directly as x2. w∝x2 And w varies inversely as y3. w∝1y3 This implies that…

Q: If Z = x.n. f .f (**²), then show that: X. Zx + y.Zy = y

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Q: Let x be the r.v Such that ECx)=D2 ECx)=2a %3D [2+Qx}?) =2a3 %3D Findthe Value of a

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Q: Use DeMoirve's Theorem to find: (1– iv3)2

A: We first try to express 1-i3 using polar form.r=12+(-3)2=1+3=4=2θ=tan-1yx=tan-1-31=tan-1-3=-π3So,…

Q: 769° 45° C. a) What is the measure of <ADB?

A: We can find the measure of angle ADB as below

Q: Find the distance between 4y + 3x = 4 and point (0, 5) O 3.4 O 3.2 O 2.8 3

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Q: The distance between a and b is lb -al.

A: Here, a=-0.5 &amp; b=3

Q: 6. Describe the reflection(s) that will carry the trapezoid onto itself. Write the equation of a…

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Q: 1. Fill in the table below. (x, y) (-3,0) (4,3) (0,5) (r, 0) 5, π

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Q: [1 T = 11 1. 1 9 0 9 -2 .a O 1 9 3 9 -2 .b O 3 9 1 9 0 .c 2 2 0 .d O 9 9. N O

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Q: In r dx 7.)

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Q: H.W: Find f, fw, fx and fy if f(x, y) = x+ y+ xy yy>

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Q: 3. Prove the pythagorean Theorem

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Q: flx). a/2)=6x+6.and hlx) -alA 88

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Q: X X P(X=x) 0,10 0,20 0,30 0,40 2 3 4 5 P(2<X<4)=??? O A) 0,20 B) 0,10 C) 0,40 D) 0,50 O E) 0,30

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Q: What is the length of RS? W R x - 3 V x+5

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Q: find u ·v.

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Q: 11. Prove (AUB) × C = (A x C) U (B × C)

A: 11 prove (A U B)*C = (A X C) U (B X C) here this is the property of distributive  so this is direct…

Q: -4x 2.) y = required:a) find the value of y if x = 1

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Q: Method of Lines (MOL) discretizes Select one: a. none of the space nor time dimensions O b. the time…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 3) Let x = (-1,3,2,-4), and y = (1,0,2,3). Find the following distances || x = || = ? []x - || =?

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Q: Evaluate F. dr along the line segment C from P to Q. F = -7xj; P(8, 3), Q(8, 4) #1 [F F. dr = i

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Q: Let f(x) =Ex-12. Find Ihe fallewing fla)=) +f72)3=

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.