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butalik [34]
3 years ago
7

Plz Help 30 points:

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
6 0

Answer:

Part A: T stands for total money earned and S stands for money earned on Sunday

T = 11 + S

Part B: We know Larry walked AT LEAST twice the amount of dogs than Kyle. So, L standing for Larry and K for Kyle:

L = 2(K)

But, it tells us he walked twice, plus 4 more. So our final equation will be:

L = 2(K) + 4

Step-by-step explanation:

Inessa [10]3 years ago
4 0

Answer:

a = 2(b) + 4.

Step-by-step explanation:

Part A: $11 + a = b. A= the extra money he got for walking the dog. B= the total money for walking the dogs.

Part B: a = 2(b) + 4. I did + 4 because it says “Larry was able to walk 4 more than twice as many dogs as his friend Kyle”. This equation would work because a = Larry and b = Kyle, so Larry has 2 times the amount as Kyle plus the 4.

I hope this helps <3

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3 years ago
Find the equation of the
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Step-by-step explanation:

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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 24-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 6 feet
andrezito [222]

Answer:

23.24 feet

Step-by-step explanation:

Use the pythagorean theorem: a² + b² = c², where a and b are legs of the right triangle and c is the hypotenuse.

In this situation, the ladder is the hypotenuse of the triangle, and the distance from the base of the building is the long leg.

Plug in the ladder length as c and plug in the distance from the base of the building as a:

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b = 23.24

So, the ladder reaches approximately 23.24 feet up the wall

5 0
3 years ago
Read 2 more answers
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