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Mrac [35]
3 years ago
14

Josh is saving for a new bike the bike costs about $78 including tax Josh has already saved $42 how much more does he need to so

lve let's represent the amount he is saving
Mathematics
1 answer:
mylen [45]3 years ago
4 0
$36 because $78-$42=$36
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In the Midpoint Rule for triple integrals we use a triple Riemann sum to approximate a triple integral over a box B, where f(x,
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To approximate the volume with 8 boxes, we have to split up the interval of integration for each variable into 2 subintervals, [0, 1] and [1, 2]. Each box will have midpoint m_{i,j,k} that is one of all the possible 3-tuples with coordinates either 1/2 or 3/2. That is, we're sampling f(x,y,z)=\cos(xyz) at the 8 points,

(1/2, 1/2, 1/2)

(1/2, 1/2, 3/2)

(1/2, 3/2, 1/2)

(3/2, 1/2, 1/2)

(1/2, 3/2, 3/2)

(3/2, 1/2, 3/2)

(3/2, 3/2, 1/2)

(3/2, 3/2, 3/2)

which are captured by the sequence

m_{i,j,k}=\left(\dfrac{2i-1}2,\dfrac{2j-1}2,\dfrac{2k-1}2\right)

with each of i,j,k being either 1 or 2.

Then the integral of f(x,y,z) over B is approximated by the Riemann sum,

\displaystyle\iiint_B\cos(xyz)\,\mathrm dV\approx\sum_{i=1}^2\sum_{j=1}^2\sum_{k=1}^2\cos m_{i,j,k}\left(\frac{2-0}2\right)^2

=\displaystyle\sum_{i=1}^2\sum_{j=1}^2\sum_{k=1}^2\cos\frac{(2i-1)(2j-1)(2k-1)}8

=\cos\dfrac18+3\cos\dfrac38+3\cos\dfrac98+\cos\dfrac{27}8\approx\boxed{4.104}

(compare to the actual value of about 4.159)

4 0
3 years ago
Which graph represents a proportional relationship? Please help asap
KonstantinChe [14]

I believe it would be the second graph. Having a proportional relationship in a graph means that the line would go through the origin (0,0)

5 0
3 years ago
Alex restaurant bill is $58 and he wants to leave a 20% tip which expression of the total armor that Alex needs to
Liono4ka [1.6K]
The total amount he should pay is $69.6

20% of 58 is 11.6

11.6+58=69.6
4 0
3 years ago
What is the name for the data above?
Dvinal [7]

Answer:

This type of data is called Box and Whisker plots

Step-by-step explanation:

This type of data tells you the range of the data as well as the inner quartile range as it shows the minimum, maximum, median, and Q1 and Q3.

7 0
3 years ago
Read 2 more answers
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3 years ago
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