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Strike441 [17]
3 years ago
7

A photo album costs $10.49 before discount and tax.

Mathematics
1 answer:
Gemiola [76]3 years ago
7 0

Answer:

Total after tax and discount is $7.78

Step-by-step explanation:

(10.49×0.3)= 3.15

10.49 - 3.15 = 7.34

(7.34×0.06)= 0.44

7.34 + 0.44 = 7.78

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Evaluate the line integral for x^2yds where c is the top hal fo the circle x62 _y^2 = 9
natulia [17]
Parameterize C by

\mathbf r(t)=\langle x(t),y(t)\rangle=\langle3\cos t,3\sin t\rangle

where 0\le t\le\pi. Then the line integral is

\displaystyle\int_Cx^2y\,\mathrm dS=\int_{t=0}^{t=\pi}x(t)^2y(t)\left\|\frac{\mathrm d\mathbf r(t)}{\mathrm dt}\right\|\,\mathrm dt
=\displaystyle\int_{t=0}^{t=\pi}(3\cos t)^2(3\sin t)\sqrt{(-3\sin t)^2+(3\cos t)^2}\,\mathrm dt
=\displaystyle3^4\int_{t=0}^{t=\pi}\cos^2t\sin t\,\mathrm dt

Take u=\cos t, then

=\displaystyle-3^4\int_{u=1}^{u=-1}u^2\,\mathrm du
=\displaystyle3^4\int_{u=-1}^{u=1}u^2\,\mathrm du
=\displaystyle2\times3^4\int_{u=0}^{u=1}u^2\,\mathrm du
=54
6 0
3 years ago
PLEASE ANSWERRRRRRRRRRRRRRRRRRRRRRRR
tekilochka [14]

Answer:

a=11, b=53

Step-by-step explanation:

y=ax+b

x=1, y=64 -> 64=a+b

x=2, y=75 -> 75=2a+b

75-64=a, a=11, b=53

All the other points obey this rule.

8 0
3 years ago
Read 2 more answers
What set of three numbers could represent the lengths of the side of a right triangle?
klemol [59]

Answer:

C.) 5, 12, 13

Step-by-step explanation:

In a right triangle, the sum of the squares of the two shorter sides must equal the square of the longest side (Pythagoras).

a² + b² = c²

We can test each set of numbers to see which one fits.

A.) 8² +  12² =   16²

    64 + 144 = 256

           208 ≠ 256

B.) 6² +  7² =  8²

   36 + 49 = 64

           85 ≠ 64

C.) 5² +  12² =   13²

    25 + 144 = 169

            169 = 169

The numbers 5, 12, and 13 could represent the lengths of the sides of a right triangle.

D.) 16² +    32² =    36²

   256 + 1024 = 1296

              1280 ≠ 1296

7 0
3 years ago
Which ordered pair is the best estimate for the
d1i1m1o1n [39]

Answer:

-4, -6

Step-by-step explanation:

3x+6= 1x-2

2x+6= -2

2x= -8  

x= -4

Now that you have your x variable, you can go back and plug it in to your original equations:

y= 3(-4)+6,

      y= (-12)+6 therefore y= -6

y=1(-4) -2,

        y= (-4) -2 therefore y = -6

7 0
3 years ago
PLEASE HELP 45
Mamont248 [21]

Answer:I believe the answer is true but not 100% sure Hope this helped

3 0
3 years ago
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