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2 years ago

What is the equation for an arithmetic equation sequence with a first term of 5 and a second term of 2?

Mathematics

2 answers:

Margaret [11]2 years ago

3 0

Answer:

THE THIRD ONE

Step-by-step explanation:

the equation: An=A1+d(n-1)

plug in the numbers

Sholpan [36]2 years ago

3 0

A1 = 5
d = a2-a1 = 2-5 = -3

$a(n) = a + (n - 1)d \\ a(n) = 5 + (n -1) - 3 \\ a(n) = 5 - 3(n - 1)$

Answer will be C.

!! Hope It Helps !!

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A gumball machine has 150 red gumballs. If the red gumballs are 25% of the total number of gumballs, how many gumballs are in th

WINSTONCH [101]

Answer:

Step-by-step explanation:

Because 25% is the same as 1/4. We can do the same thing as if we were changing 1/4 into a whole 1/4·4=1. So 25%·4=1. So 150·4 is our answer. So 150·4=600. There are 600 gumballs in the machine. :D

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3 years ago

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Which number rounds to 341 when rounded to the nearest whole number

nata0808 [166]

Answer:

341.5 because it makes the most sense

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3 years ago

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An electric current, I, in amps, is given by I=cos(wt)+√8sin(wt), where w≠0 is a constant. What are the maximum and minimum valu

exis [7]

Take the derivative with respect to t
$- w \sin(wt) + \sqrt{8} w cos(wt)$
the maximum and minimum values occur when the tangent line is zero so we set the derivative to zero
$0 = -w \sin(wt) + \sqrt{8} w cos(wt)$
divide by w
$0 =- \sin(wt) + \sqrt{8} cos(wt)$
we add sin(wt) to both sides

$\sin(wt)= \sqrt{8} cos(wt)$
divide both sides by cos(wt)
$\frac{sin(wt)}{cos(wt)}= \sqrt{8} \\ \\ arctan(tan(wt))=arctan( \sqrt{8} ) \\ \\ wt=arctan(2 \sqrt{2)}$ OR $\\$ $wt=arctan( { \frac{1}{ \sqrt{2} } )$
(wt)=2(n*pi-arctan(2^0.5))
(wt)=2(n*pi+arctan(2^-0.5))
where n is an integer
the absolute max and min will be

$I=cos(2n \pi -2arctan( \sqrt{2} ))$
since 2npi is just the period of cos
$cos(2arctan( \sqrt{2} ))= \frac{-1}{3} 
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substituting our second soultion we get
$I=cos(2n \pi +2arctan( \frac{1}{ \sqrt{2} } ))$
since 2npi is the period
$I=cos(2arctan( \frac{1}{ \sqrt{2}} ))= \frac{1}{3}$
so the maximum value = $\frac{1}{3}$
minimum value = $- \frac{1}{3}$

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3 years ago

Find the range of the function f(x)=5-4x given the domain = {-1,0,1}

kondor19780726 [428]

Answer:

I don't get what you are trying to say I think you need to put it in better understanding

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3 years ago

Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G(0,2), H(4,2), J(3,0), and K(-1,0

zimovet [89]

Answer:

(1.5,1)

Step-by-step explanation:

The midpoint of G and H is at (2,2).

The midpoint if J and K is (1,0)

The midpoint of the two midpoints is (1.5,1)

You could also i.e. directly ask for the midpoint of H an K, OR, G and J, and you would get the same final result.

8 0

3 years ago