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djverab [1.8K]
3 years ago
13

Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits the surface of the l

ake, the rock's distance from the lake's surface changes at a rate of −2 inches per second. If Lisa holds her hand 5 feet above the lake's surface, how far from Lisa's hand is the rock 4 seconds after it hits the surface?
Mathematics
2 answers:
Lemur [1.5K]3 years ago
7 0

Answer:

  • 5 ft 8 in or 68 in

Step-by-step explanation:

<u>In 4 seconds the rock will be at:</u>

  • 2*4 = 8 in from the surface

<u>Add 5 feet to this to get the required distance:</u>

  • 5 ft + 8 in = 5*12 in + 8 in = 68 in
luda_lava [24]3 years ago
3 0

Distance after 8s:-

\\ \rm\longmapsto 4(-2)=-8in

Now

Distance:-

\\ \rm\longmapsto 5-(-8)

\\ \rm\longmapsto 5ft+8in

  • 1ft=12in

\\ \rm\longmapsto 5ft+3/4ft

\\ \rm\longmapsto 23/4ft

\\ \rm\longmapsto 5.7ft

  • Convert to in

\\ \rm\longmapsto 5.7\times 12

\\ \rm\longmapsto 68in

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Step-by-step explanation:

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2 years ago
In the triangle below, what is the approximate value of x?
Allushta [10]

Answer:

hi

apply BPT

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2 years ago
Let f(x)=x. The graph of f(x) ​is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 uni
Mrac [35]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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Which of the following statements are represented by
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6 0
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Is matrix multiplication comutative?
konstantin123 [22]

Answer:

Matrix multiplication is not conmutative

Step-by-step explanation:

The matrix multiplication can be performed if the number of columns of the first matrix is equal to the number of rows of the second matrix

Let A with dimension mxn and B with dimension nxp represent two matrix

The multiplication of A by B is a matrix C with dimension mxp, but the multiplication of B by A is can't be calculated because the number of columns of B is not the number of rows of A. Therefore, you can notice that is not conmutative in general.

But even if the multiplication of AB and BA is defined (For example if A and B are squared matrix of 2x2) the multiplication is not necessary conmutative.

The matrix multiplication result is a matrix which entries are given by dot product of the corresponding row of the first matrix and the corresponding column of the second matrix:

A=\left[\begin{array}{ccc}a11&a12\\a21&a22\end{array}\right]\\B= \left[\begin{array}{ccc}b11&b12\\b21&b22\end{array}\right]\\AB = \left[\begin{array}{ccc}a11b11+a12b21&a11b12+a12b22\\a21b11+a22b21&a21b12+a22b22\end{array}\right]\\\\BA=\left[\begin{array}{ccc}b11a11+b12a21&b11a12+b12a22\\b21a11+b22ba21&b21a12+b22a22\end{array}\right]

Notice that in general, the result is not the same. It could be the same for very specific values of the elements of each matrix.

6 0
3 years ago
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