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3 years ago

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Mathematics

1 answer:

Goshia [24]3 years ago

5 0

Answer:

Stephanie brought the 20 chocolate for $50

Step-by-step explanation:

If she have $60 and only have $10 left that would me that the chocolate are $50

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Use simpson's rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. compare y

Lubov Fominskaja [6]

y = ln x , 1 <= x <= 3, about x axis and n = 10, dy/dx = 1/ x

S = (b a) ∫ 2π y √( 1 + (dy/dx) ^2) dx

so our f(x) is 2π y √( 1 + (dy/dx) ^2)

(b - a) / n = / 3 = (3-1) / 30 = 1/15

x0 = 1 , x1 = 1.2, x2 = 1.4, x3 = 1.6 ....... x(10) = 3

So we have , using Simpsons rule:-

S10 = (1/15) ( f(x0) + 4 f(x1) + 2 f)x2) +.... + f(x10) )

= (1/15) f(1) + f(3) + 4(f(1.2) + f(1.6) + f(2) + f(2.4) + f(2.8)) + 2(f(1.4) + f(1.8) + f(2.2) + f(2.6) )

( Note f(1) = 2 * π * ln 1 * √(1 + (1/1)^2) = 0 and f(3) = 2π ln3√(1+(1/3^2) = 7,276)

so we have S(10)

= 1/15 ( 0 + 7.2761738 + 4(1.4911851 +

5 0

3 years ago

By the Triangle Inequality Theorem which set of side lengths could create a triangle?

Nonamiya [84]

Answer: B

Step-by-step explanation:

the sum of any two sides is bigger than the third side... so 5+9= 14, bigger than 6. 5+6=11, greater than 9. 9+6=15, bigger than 5.

4 0

3 years ago

Read 2 more answers

What is the domain of the function represented by the graph?

neonofarm [45]

Answer: C

Step-by-step explanation:

For a parabola, the domain is ALWAYS “all real numbers”.

Hope this helps :)

5 0

3 years ago

Read 2 more answers

1.Find the compound interest on Rs25000 for 3 years at 10% per annum ,Compounded annually.

LekaFEV [45]

Answer:

The compound interest is Rs8275

Step-by-step explanation:

The rule of the compound interest is A = P $(1+\frac{r}{n})^{nr}$ , where

A is the new amount

P is the initial amount

r is the interest rate in decimal

n is the number of periods

t is the time

The interest I = A - P

∵ The amount of investment is Rs25000 for 3 years

∴ P = 25000

∴ t = 3

∵ The rate of interest is 10% per annum, compounded annually

∴ r = 10% = 10 ÷ 100 = 0.1

∴ n = 1 ⇒ compounded annually

→ Substitute these value in the 1st rule above to find the new amount

∵ A = 25000 $(1+\frac{0.1}{1})^{1(3)}$

∴ A = 25000 $(1.1)^{3}$

∴ A = Rs33275

→ Use the 2nd rule above to find the interest

∵ I = 33275 - 25000

∴ I = 8275

∴ The compound interest is Rs8275

6 0

2 years ago

Find an equation in slope intercept form of the line that has a slope of -8 and passes through point A (1,5)

ollegr [7]

Answer:

8x+y-13=0

Step-by-step explanation:

let the given point be

A(1,5)=(x1,y1)

slope(m)= -8

then,equation of straight line is,

(y-y1)=m(x-x1)

(y-5)= -8(x-1)

y-5= -8x+8

8x+y-5-8=0

therefore,8x+y-13=0 ..........(i) is the required equation.

3 0

3 years ago

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