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vekshin1
3 years ago
7

If x2 = 30, what is the value of x? (5 points)

Mathematics
1 answer:
marshall27 [118]3 years ago
6 0

Answer:

It's C.

Step-by-step explanation:

√(30) to the power of 2 is equal to 30.

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Use the given transformation to evaluate the given integral, where r is the triangular region with vertices (0, 0), (8, 1), and
Jlenok [28]
We first obtain the equation of the lines bounding R.

For the line with points (0, 0) and (8, 1), the equation is given by:

\frac{y}{x} = \frac{1}{8}  \\  \\ \Rightarrow x=8y \\  \\ \Rightarrow8u+v=8(u+8v)=8u+64v \\  \\ \Rightarrow v=0

For the line with points (0, 0) and (1, 8), the equation is given by:

\frac{y}{x} = \frac{8}{1}  \\  \\ \Rightarrow y=8x \\  \\ \Rightarrow u+8v=8(8u+v)=64u+8v \\  \\ \Rightarrow u=0

For the line with points (8, 1) and (1, 8), the equation is given by:

\frac{y-1}{x-8} = \frac{8-1}{1-8} = \frac{7}{-7} =-1 \\  \\ \Rightarrow y-1=-x+8 \\  \\ \Rightarrow y=-x+9 \\  \\ \Rightarrow u+8v=-8u-v+9 \\  \\ \Rightarrow u=1-v

The Jacobian determinant is given by

\left|\begin{array}{cc} \frac{\partial x}{\partial u} &\frac{\partial x}{\partial v}\\\frac{\partial y}{\partial u}&\frac{\partial y}{\partial v}\end{array}\right| = \left|\begin{array}{cc} 8 &1\\1&8\end{array}\right| \\  \\ =64-1=63

The integrand x - 3y is transformed as 8u + v - 3(u + 8v) = 8u + v - 3u - 24v = 5u - 23v

Therefore, the integration is given by:

63 \int\limits^1_0 \int\limits^{1}_0 {(5u-23v)} \, dudv =63 \int\limits^1_0\left[\frac{5}{2}u^2-23uv\right]^{1}_0 \\  \\ =63\int\limits^1_0(\frac{5}{2}-23v)dv=63\left[\frac{5}{2}v-\frac{23}{2}v^2\right]^1_0=63\left(\frac{5}{2}-\frac{23}{2}\right) \\  \\ =63(-9)=|-576|=576
6 0
3 years ago
A youth group is planning a trip to a theme park. The bus holds up to 40 people. The cost for bus parking is $60.00. Each person
Lilit [14]

Given equation is:

T=36x+60

Where T is the total cost; $36 is the entry fee per person and $60 is the one time bus parking fee.

As given, the bus holds up to 40 people, so let the total number of people be represented by 'x'

The bus holds up to 40 people so 'x' is either less than 40 or equal to 40.

Or this can be written as : x\leq 40

Hence, the domain will lie between 0 and 40.

So option C : 0≤ x≤ 40 is the answer.




3 0
3 years ago
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What is the positive contermental angle of pi/4
Ber [7]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
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ziro4ka [17]
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4 0
4 years ago
WHATS THE ANSWER PLEASE
andrew-mc [135]

Answer:

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DE+EF=DF

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DF=3x+4

DF=3(3)+4

DF=13

7 0
3 years ago
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