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3 years ago

How do you go from 98 to 720 using just one letter?RIDDLE...

Mathematics

1 answer:

meriva3 years ago

6 0

Answer:

Add an "x" between "ninety" and "eight". Ninety x Eight = 720.

90 x 8 = 720

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Which table of values represents a function?

ser-zykov [4K]

I would say option 3 hopefully im right!!

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2 years ago

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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

Determined each area of region in simplest form

beks73 [17]

Answer:

Step-by-step explanation:

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3 years ago

The system of equations below is consistents with infinity many solutions where a and b are constants.Find the values of a and b

Kitty [74]

Answer:

The values of $a$ and $b$ so that the two linear equations have infinite solutions are $3$ and $\frac{3}{2}$ , respectively.

Step-by-step explanation:

Two linear equations with two variables have infinite solution if and only if they are linearly dependent. That is, one linear equation is a multiple of the other one. Let be the following system of linear equations:

$2\cdot x + y = 6$ (1)

$a\cdot x + b\cdot y = 9$ (2)

The following condition must be observed:

$r = \frac{a}{2} = \frac{b}{1} = \frac{9}{6}$ (3)

After some quick operations, we find the following information:

$r = \frac{3}{2}$ , $a = 3$ , $b = \frac{3}{2}$

The values of $a$ and $b$ so that the two linear equations have infinite solutions are $3$ and $\frac{3}{2}$ , respectively.

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3 years ago

What are consecutive integers?

saul85 [17]

Consecutive integers are integers that follow each other in order. They have a difference of 1 between every two numbers. In a set of consecutive integers, the mean and the median are equal. If n is an integer, then n, n+1, and n+2 would be consecutive integers. Examples.

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3 years ago

How do you go from 98 to 720 using just one letter?RIDDLE...​

How do you go from 98 to 720 using just one letter?RIDDLE...