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2 years ago

Given the sequence 2, 10, 50, 250,......where x = 0, 1, 2, 3,....., what is the first term?

Mathematics

2 answers:

Tpy6a [65]2 years ago

6 0

The answer to this question is A

snow_tiger [21]2 years ago

4 0

a is the best option

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Can someone help me pelase?? 20

Reil [10]

Answer:

$y=2x-2$

Step-by-step explanation:

Because the coordinates for x = 0 is (0,-2) so that's your y- intercept.

Then if you all you have to do is make sure that you have the correct slope.

So i just made a table on paper and started going up and seeing what slope i'd need to match the table on the screen.

$2(0)-2=-2\\2(1)-2=0\\2(2)-2=2\\2(3)-2=4$

4 0

3 years ago

The original price of a car is $25000. Each year, its value depreciates (loses value) by 13%. Three years after its purchase, wh

Thepotemich [5.8K]

Answer:

$16,462.58

Step-by-step explanation:

25000(1-.13)^(n)

where n is the years

25000(.87)^3

put this into a calculator and get

16462.57

5 0

3 years ago

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

3 years ago

Help!!!!!!!!!!!!!!!!!!!!!!

Lilit [14]

Answer:

$5.80

Step-by-step explanation:

butterscotch + milk

butterscotch:

$1/5 = $0.20 x 4 = $0.80

milk:

$1 x 5 = $5

$5 + $0.80 = $5.80

7 0

2 years ago

A student divided 10 meters of wire into 6 equal parts. Which type of number describes the length of each part?

Kobotan [32]

When 10 meters of something is divided into 6 equal parts,
then each part is (1,666 and 2/3) millimeters long.

A). Whole number . . . No, that's not a whole number

B). Interger . . . No, there's no such thing as an 'interger'.

C). Rational number . . . Yes, its the ratio of 10,000 to 6 .

D). Irrational number . . . No, it's not irrational.

8 0

3 years ago

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