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2 years ago

Find the domain & range of the relation {(-5,13), (6,18), (2,-7), (1,4), (-3,-1)}

Mathematics

1 answer:

Neporo4naja [7]2 years ago

5 0

Answer:

Domain: -5,6,2,1,-3

Range: 13,18,-7,4,-1

Step-by-step explanation:

Domain is the independent value/ x / input

Range is the dependent value/ y / output

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Evaluate csc(-315°).

Maru [420]

Answer:

$\frac{2}{\sqrt{2} } = \sqrt{2}$

Step-by-step explanation:

Notice from the attached image that -315 degrees is the same as 45 degrees.

Recall as well that the csc function is defined as the reciprocal of the sine function: $csc(x)=\frac{1}{sin(x)}$

Then, you need to evaluate $\frac{1}{sin(45)} = 1/\frac{\sqrt{2} }{2} = \frac{2}{\sqrt{2} } =\sqrt{2}$

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2 years ago

Bill is building a deck. He wants the length of the deck to be 7 feet. If he wants the area of the deck to be 105 square feet, w

kotykmax [81]

The answer is 15 feet

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1 year ago

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iVinArrow [24]

Positive linear association !

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3 years ago

A trucking company uses matrix A , shown below, to represent the driving time in hours for 6 trucking routes. A = [ 4 6 8 ]

zepelin [54]

Each element of the matrix are multiplied by the scalar to form a matrix of

same size as the original matrix in matrix scalar multiplication.

$60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right]$

Reasons:

The matrix <em>A</em> is presented as follows;

$A = {\left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right]}$

Using the multiplication of a matrix and a scalar, we have;

$60 \cdot A = 60 \cdot \left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right] = \left[\begin{array}{ccc}60 \times 4&60 \times 6&60 \times 8\\60 \times 6&60 \times 8&60 \times 10\end{array}\right] = \left[\begin{array}{ccc}\mathbf{240}&\mathbf{360}&\mathbf{480}\\\mathbf{360}&\mathbf{480}&\mathbf{600}\end{array}\right]$

Therefore;

$60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right]$

Learn more about matrices here:

brainly.com/question/14296012

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2 years ago

Donnel practiced the piano 3 hours longer than Marcus. Together they practiced the piano for 11 hours. How many hours did each b

andriy [413]

Here is the equation: $x+(x+3)=11$ ⇒ $x+x+3=11$

You need to get "x" by itself so minus 3 from each side

$x+x+3-3=11-3$ ⇒ $x+x=8$ ⇒ $2x=8$

Divide 8 by 2

$8$ ÷ $2=4$

x=4

So each 4 is equivalent to 4

Lets check:

$4+(4+3)=11$ ⇒ $4+4+3=11$ ⇒ $11=11$

So that means that Marcus practiced the piano for 4 hours and Donnel practiced for 7

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3 years ago