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2 years ago

What is the sum of the last four terms of the series 7+9+11+...21

Mathematics

1 answer:

Sidana [21]2 years ago

8 0

For sake of convenience, reverse the series, then it would be:

21,19,17.....7

a=21, d = -2,

s(4) = 4/2 (21+15)

s(4)=2(36)

s(4) = 72

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Plz solve with work thank you

Agata [3.3K]

23,.88 plus the the next power

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2 years ago

5. The Riverside Geyser in Yellowstone National Park erupts

Anastasy [175]

Answer:

Step-by-step explanation:

The equation for the model of the geyser is found by substituting the given upward velocity into the vertical motion model. The problem statement tells us v=69. We assume the height is measured from ground level, so c=0. Putting these values into the model gives ...

h(t) = -16t² +69t

The maximum height is at a time that is halfway between the zeros of the function.

h(t) = -16t(t -4.3125) . . . . . has zeros at t=0 and t=4.3125

The maximum height will occur at t=4.3125/2 = 2.15625 seconds. The height at that time is ...

h(t) = -16(2.15625)(2.15625 -4.3125) = 16(2.15625²) ≈ 74.39 . . . feet

The maximum height of the geyser is about 74.4 feet.

4 0

1 year ago

Find f if f′(x)=2x−3/x^4, x>0 and f(1)=2.

slavikrds [6]

$f'(x)=2x-\dfrac3{x^4}$
$\displaystyle\int f'(x)\,\mathrm dx=\int\left(2x-\frac3{x^4}\right)\,\mathrm dx$
$f(x)=x^2+\dfrac1{x^3}+C$

Given that $f(1)=2$ , we get

$2=1^2+\dfrac1{1^3}+C$
$2=2+C$
$\implies C=2$

so that

$f(x)=x^2+\dfrac1{x^3}$

8 0

2 years ago

Help fast I tried googling everything there were some answers but not all the answers I don't understand 1 2 3 4 5 6 7 8

Archy [21]

1) No, because the line does not divide the figure into two mirrored images.
2)Yes, because the line divides the figure into two mirrored images.
3) Yes, because the line divides the figure into two mirrored images.
4)No, because the line does not divide the figure into two mirrored images.
5)One line, vertical down the middle.
6) Zero lines, because the figure can not be divided into mirrored images.
7)Four lines, horizontal down the middle, vertical down the middle and diagonal down from each top corner.
8) One line, vertical down the middle

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3 years ago

Read 2 more answers

What is the result when 6x2 – 13x + 12 is subtracted from –3x2 + 6x + 7?

max2010maxim [7]

The answer is (2) 9x2-19x+5.Because you need to first put them together linking by minus sign

7 0

2 years ago