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2 years ago

I needs hheeellllppppp

Mathematics

1 answer:

Step2247 [10]2 years ago

5 0

Answer:

It's C.7

Step-by-step explanation:

Use the foil method

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Each morning, Sleepwell Hotel offers its guests a free continental breakfast with pastries and orange juice. The hotel served 62

mario62 [17]

Answer:481

Step-by-step explanation:

35% of 740

35/100 × 740 = 259

35% less than = 740 - 259

=481

Therefore 481 gallons was served this year.

8 0

2 years ago

Help!!!!! Thank you!!!!

mart [117]

Answer:

Step-by-step explanation:

5 * 85 - 4* 82 = 97

8 0

2 years ago

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Consider the line integral Z C (sin x dx + cos y dy), where C consists of the top part of the circle x 2 + y 2 = 1 from (1, 0) t

pashok25 [27]

Direct computation:

Parameterize the top part of the circle $x^2+y^2=1$ by

$\vec r(t)=(x(t),y(t))=(\cos t,\sin t)$

with $0\le t\le\pi$ , and the line segment by

$\vec s(t)=(1-t)(-1,0)+t(2,-\pi)=(3t-1,-\pi t)$

with $0\le t\le1$ . Then

$\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)$

$=\displaystyle\int_0^\pi(-\sin t\sin(\cos t)+\cos t\cos(\sin t)\,\mathrm dt+\int_0^1(3\sin(3t-1)-\pi\cos(-\pi t))\,\mathrm dt$

$=0+(\cos1-\cos2)=\boxed{\cos1-\cos2}$

Using the fundamental theorem of calculus:

The integral can be written as

$\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)=\int_C\underbrace{(\sin x,\cos y)}_{\vec F}\cdot\underbrace{(\mathrm dx,\mathrm dy)}_{\vec r}$

If there happens to be a scalar function $f$ such that $\vec F=\nabla f$ , then $\vec F$ is conservative and the integral is path-independent, so we only need to worry about the value of $f$ at the path's endpoints.

This requires

$\dfrac{\partial f}{\partial x}=\sin x\implies f(x,y)=-\cos x+g(y)$

$\dfrac{\partial f}{\partial y}=\cos y=\dfrac{\mathrm dg}{\mathrm dy}\implies g(y)=\sin y+C$

So we have

$f(x,y)=-\cos x+\sin y+C$

which means $\vec F$ is indeed conservative. By the fundamental theorem, we have

$\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)=f(2,-\pi)-f(1,0)=-\cos2-(-\cos1)=\boxed{\cos1-\cos2}$

3 0

2 years ago

The graph of the function f(x)=|3x| is translated 4 units up.

siniylev [52]

Translating a graph upwards just means adding or subtracting a value from the initial function.

So to push a graph up, you just add (+) the number of units onto the original function.

7 0

2 years ago

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Can you help me please everyone is ignoring my questions

galben [10]

Answer:

A= 37 degrees

C= 43 degrees

Step-by-step explanation:

Hey there!

So this question looks a lot more complicated than it really is.

Complementary angles are the same.

Supplementary angles add up to 180 degrees or in other words a straight line.

If A and B are complementary and B equals 37 degrees, than A is also 37 degrees.

To find C, all we would do is subtract 37 from 180 to find the leftover amount.

180-37=43

So, in conclusion:

A= 37 degrees

C= 43 degrees

Hoped this helped! :D

Comment if you have any further questions!

3 0

2 years ago

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