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Allushta [10]
3 years ago
11

Which value of x is a solution of the inequality 25x - 100 < 250?

Mathematics
1 answer:
Leona [35]3 years ago
5 0

Answer:

inequality form: x<14

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

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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
What is the answer for 9=Y=?
musickatia [10]

(5,4)

x=5

y=4

hope this helped

mark brainliest   :)

you question did not make sense so i assumed this is what you meant and needed.

6 0
3 years ago
What is the answer of -3 2/3 + 1.1 as a fraction?
pickupchik [31]
- 3 \frac{2}{3} + 1.1 = - \frac{11}{3} + \frac{11}{10} = - \frac{110}{30} + \frac{33}{30} \\ = -\frac{77}{30} = -2 \frac{17}{30}
7 0
3 years ago
15/16 divided by 3/4 = ?
Dmitry [639]

5/4

(15/16)(4/3) The 4/3 is the reciprocal of 3/4

=5/4

8 0
3 years ago
How does the 3 in 350 compare to the 3 in 403
Alexandra [31]
3 in 350 is 300 the 3 in 403 is 3
7 0
3 years ago
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