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Kryger [21]
3 years ago
5

For exercices 45-50, between which two benchmarks ( Of 0, 1/2,1 1/2) does each fraction fall? Tell which is the nearer benchmark

.
45. 3/5
46. 1 2/6
47. 12/10
48. 2/18
49. 1 8/10
50. 1 12/15
Mathematics
2 answers:
n200080 [17]3 years ago
8 0
3/5 is closer to 1/2
1 2/6 is closer to 1 1/2. 1 2/6 is equivalent to 1 1/3
12/10 is closer to 1 1/2. 12/10 is equivalent to 1 1/5.
2/18 is closer to 0. 2/18 can be simplified to 1/9 or 0.11
1 8/10 is closer to 1 1/2. 1 8/10 is equivalent to 1 4/5
1 12/15 is closer to 1 1/2. 1 12/15 is equivalent to 1 4/5
I hope this helps you
OleMash [197]3 years ago
4 0
45. 3/5 is nearer to 1/2
46. 1 2/6 is nearer to 1 1/2. 1 2/6 can be simplified to 1 1/3
47. 12/10 is nearer to 1 1/2. 12/10 can be simplified to 1 2/10 and further simplified to 1 1/5.
48. 2/18 is nearer to 0. 2/18 can be simplified to 1/9 or 0.11
49. 1 8/10 is nearer to 1 1/2. 1 8/10 can be simplified to 1 4/5
50. 1 12/15 is nearer to 1 1/2. 1 12/15 can be simplified to 1 4/5.
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If f(x) = 3x2 − 8x, 0 ≤ x ≤ 3, evaluate the Riemann sum with n = 6, taking the sample points to be right endpoints.
denis23 [38]

Split up the interval [0, 3] into 6 subintervals,

[0, 1/2], [1/2, 1], [1, 3/2], [3/2, 2], [2, 5/2], [5/2, 3]

The right endpoints are given by the arithmetic sequence,

r_i=0+\dfrac i2=\dfrac i2

with 1\le i\le6.

We approximate the integral of f(x) on the interval [0, 3] by the Riemann sum,

\displaystyle\int_0^3f(x)\,\mathrm dx=\sum_{i=1}^6f(r_i)\Delta x_i

\displaystyle=\frac{3-0}6\sum_{i=1}^6\left(3{r_i}^2-8r_i\right)

\displaystyle=\frac12\sum_{i=1}^6\left(\frac{3i^2}4-4i\right)

\displaystyle=\frac38\sum_{i=1}^6i^2-2\sum_{i=1}^6i

Recall the formulas,

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

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

Then the value of the integral is approximately

\displaystyle=\frac38\cdot\frac{6\cdot7\cdot13}6-2\cdot\frac{6\cdot7}2=\boxed{-\frac{63}8}=-7.875

Compare to the exact value of the integral, -9.

7 0
3 years ago
2+2=2<br> What is fourty one times one
jasenka [17]
Forty one times one is forty one
7 0
3 years ago
Read 2 more answers
Four times a number less 7 is equal to 12 more than two times that number
Doss [256]

Answer:

the number you're looking for is 9.5

Step-by-step explanation:

4x-7 = 12+2x

2x-7 = 12

2x = 19

x = 9.5

6 0
3 years ago
Read 2 more answers
If $a=7$ and $b=13$, what is the number of even positive integers less than $ab$?
Paladinen [302]

The number of even positive integers less than a.b, i.e 90, is 45.

<h3>What are Arithmetic operations?</h3>

Arithmetic operations can also be specified by subtract, divide, and multiplying built-in functions.

Given that
a = 7 and b = 13

⇒ ab

Substitute the values of a and b in the above expression,

⇒ (7)(13)

⇒ 91

Since the number of even positive integers is less than

⇒ ab > even positive

⇒ 90 > even positive

since the even number less than a.b i.e. 91 is 90,
Here, 90 is the 45th number in the series of even positive numbers.


Thus, the number of even positive integer less than a.b, i.e 90, is 45

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ1

4 0
2 years ago
Class A had 33 students and class B had 21 students. A number of students were moved from class A to class B so the classes now
Alexxx [7]

Answer:

i think its 12.12 kids got moved

Step-by-step explanation:

i just subtracted 33 - 21 = 12...

6 0
3 years ago
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