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3 years ago

2+4+8+16+256 Explain how this is a finite series

Mathematics

1 answer:

Ede4ka [16]3 years ago

7 0

Answer:

This sequence has a factor of 2 between each number.

Each term (except the first term) is found by multiplying the previous term by 2.Step-by-step explanation:

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Find (hog)(-2) h(x) = 3x g(x) = 4x + 1

LenKa [72]

Answer:

h(-2)=-6

g(2)=-7

Step-by-step explanation:

Just plug 2 in for x and solve the equation.

3 0

2 years ago

Problem 2

Sever21 [200]

Answer:

4.23 x 10 to the 4, 2 x 10 to the 3, 9.2 x 10 to the 6, 4 x 10 to the 3, 8 x 10 to the 7, and 3.2 x 10 to the 10.

Step-by-step explanation:

I will explain in the comments to this response

5 0

2 years ago

a model of an apartment is shown 1\4 in. represents 3 feet in the actual apartment. Find the actual area of the master bedroom

Hatshy [7]

Answer:12 feet by 9 feet

Step-by-step explanation:

1/4 = 3 feet, so every 1/4 of an inch there is three feet, e.g. 3/4 inches of that scale is 9 feet, 1 1/2 inches would be 18 feet, make sense?

8 0

3 years ago

15. If x=a Sin2t (I+Cos2t) and y=b Cos 2t (1-Cos2t) then find dy/dx at =22/7*4

Sav [38]

By the chain rule,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}$

It looks like we're given

$\begin{cases}x=a\sin(2t)(1+\cos(2t))\\y=b\cos(2t)(1-\cos(2t))\end{cases}$

where a and b are presumably constant.

Recall that

$\cos^2t=\dfrac{1+\cos(2t)}2$

$\sin^2t=\dfrac{1-\cos(2t)}2$

so that

$\begin{cases}x=2a\sin(2t)\cos^2t\\y=2b\cos(2t)\sin^2t\end{cases}$

Then we have

$\dfrac{\mathrm dx}{\mathrm dt}=4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t$

$\dfrac{\mathrm dy}{\mathrm dt}=-4b\sin(2t)\sin^2t+4b\cos(2t)\sin t\cos t$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4b\cos(2t)\sin t\cos t-4b\sin(2t)\sin^2}{4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t}$

$\implies\boxed{\dfrac{\mathrm dy}{\mathrm dx}=\dfrac ba\tan t}$

where the last reduction follows from dividing through everything by $\cos(2t)\cos^2t$ and simplifying.

I'm not sure at which point you're supposed to evaluate the derivative (22/7*4, as in 88/7? or something else?), so I'll leave that to you.

8 0

3 years ago

C(1, 6) ; y=4x+1 Put answer in slope intercept form

alina1380 [7]

Answer:

slope intercept form is y=mx+b

your m is 4

all you do is plug the numbers in

y=4x+6

4 0

2 years ago