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Ratling [72]
3 years ago
12

89,999 rounded to the nearest hundred thousand

Mathematics
2 answers:
lys-0071 [83]3 years ago
7 0
The answer is 90,000
tia_tia [17]3 years ago
3 0

90,000, because you would look at the ten thousands. The number there is a 9 so you would round up to 90,000.
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Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6
Anettt [7]
Splitting up the interval [0, 6] into 6 subintervals means we have

[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]

and the respective midpoints are \dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2. We can write these sequentially as {x_i}^*=\dfrac{2i+1}2 where 0\le i\le5.

So the integral is approximately

\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2

Recall that

\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6
\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2
\displaystyle\sum_{i=1}^n1=n

so our sum becomes

\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)
=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2

8 0
3 years ago
A car dealership uses the linear model y = -1100x + 25000 to
Amiraneli [1.4K]

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:

−

1000

-1000

y-intercept:

(

0

,

25000

)

(0,25000)

x

y

0

25000

25

0

xy025000250

Step-by-step explanation:

a

(づ ̄ ³ ̄)づ

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kozerog [31]
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2 years ago
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