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scZoUnD [109]
2 years ago
7

10. Based on the diagram below, which statement is true?

Mathematics
1 answer:
Fofino [41]2 years ago
4 0

Answer:

Part D is correct

Step-by-step explanation:

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Kyle bought a DVD that cost $19.23, including tax. She gave the sales clerk a $20 bill. How much change should Kyle receive?
maxonik [38]

Answer: Kyle received $0.77

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
"find the reduction formula for the integral" sin^n(18x)
dexar [7]
Let

I(n,a)=\displaystyle\int\sin^nax\,\mathrm dx
For demonstration on how to tackle this sort of problem, I'll only work through the case where n is odd. We can write

\displaystyle\int\sin^nax\,\mathrm dx=\int\sin^{n-2}ax\sin^2ax\,\mathrm dx=\int\sin^{n-2}ax(1-\cos^2ax)\,\mathrm dx
\implies I(n,a)=I(n-2,a)-\displaystyle\int\sin^{n-2}ax\cos^2ax\,\mathrm dx

For the remaining integral, we can integrate by parts, taking

u=\sin^{n-3}ax\implies\mathrm du=a(n-3)\sin^{n-4}ax\cos ax\,\mathrm dx\mathrm dv=\sin ax\cos^2ax\,\mathrm dx\implies v=-\dfrac1{3a}\cos^3ax

\implies\displaystyle\int\sin^{n-2}ax\cos^2ax\,\mathrm dx=-\dfrac1{3a}\sin^{n-3}ax\cos^3ax+\dfrac{a(n-3)}{3a}\int\sin^{n-4}ax\cos^4ax\,\mathrm dx

For this next integral, we rewrite the integrand

\sin^{n-4}ax\cos^4ax=\sin^{n-4}ax(1-\sin^2ax)^2=\sin^{n-4}ax-2\sin^{n-2}ax+\sin^nax
\implies\displaystyle\int\sin^{n-4}ax\cos^4ax\,\mathrm dx=I(n-4,a)-2I(n-2,a)+I(n,a)

So putting everything together, we found

I(n,a)=I(n-2,a)-\displaystyle\int\sin^{n-2}ax\cos^2ax\,\mathrm dx
I(n,a)=I(n-2,a)-\left(-\dfrac1{3a}\sin^{n-3}ax\cos^3ax+\dfrac{n-3}3\displaystyle\int\sin^{n-4}ax\cos^4ax\,\mathrm dx\right)
I(n,a)=I(n-2,a)-\dfrac{n-3}3\bigg(I(n-4,a)-2I(n-2,a)+I(n,a)\bigg)+\dfrac1{3a}\sin^{n-3}ax\cos^3ax
\dfrac n3I(n,a)=\dfrac{2n-3}3I(n-2,a)-\dfrac{n-3}3I(n-4,a)+\dfrac1{3a}\sin^{n-3}ax\cos^3ax

\implies I(n,a)=\dfrac{2n-3}nI(n-2,a)-\dfrac{n-3}nI(n-4,a)+\dfrac1{na}\sin^{n-3}ax\cos^3ax
7 0
2 years ago
Identify the corresponding word problem given the equation: x + 12.50 = 55.75 A) For mowing the neighbor's yard, Jessy was paid
sergejj [24]
The answer is A.  because for you to find the answer you have to subtract so it would be 55.75-12.5=43.25
6 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (4.11) and is perpendicular to the line with the following equati
Klio2033 [76]

Answer:

y = x +7

Step-by-step explanation:

Given

Point\ (x_1,y_1) = (4,11)

Perpendicular to y = -x + 14

Required

Determine the line equation

An equation has the form

y = mx + b

Where

m = slope

By comparison with y = -x + 14

m = -1

Because the line is perpendicular to y = -x + 14, the following relationship exists

m_1 = \frac{-1}{m} i.e. the condition for perpendicularity

Where m1 is the slope of the equation that passes through Point\ (x_1,y_1) = (4,11)

So, we have:

m_1 = \frac{-1}{-1}

m_1 = 1

The line equation is then calculated using:

y - y_1 = m_1(x - x_1)

Where

m_1 = 1

Point\ (x_1,y_1) = (4,11)

So, we have:

y - 11 = 1(x - 4)

y - 11 = x - 4

Add 11 to both sides

y - 11+11 = x - 4+11

y = x - 4+11

y = x +7

<em>The B, C and D parts of your question are not clear.</em>

<em>Apply the same steps used in (a) above and you'll get your answers</em>

7 0
3 years ago
What is -3root2 x 3root2?<br> Pls help ASAP
VikaD [51]

Answer:

-18

Step-by-step explanation:

-3 √2 * 3 √2

= -9 * (√2)²

= -9 * 2

= -18

Hope this answer was helpful!!

Regards...

5 0
2 years ago
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