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Kamila [148]
3 years ago
12

Are relations always functions

Mathematics
2 answers:
svet-max [94.6K]3 years ago
8 0
No, if a relation fails the vertical line test it's not a function
Elena L [17]3 years ago
3 0
No. Just because something is related to something, doesn't mean it functions the same way.
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What is 2 7/8 as an integer
snow_lady [41]

2 7/8 is not an integer value, so cannot be expressed as an integer.

It can be rounded to the nearest integer, 3.

4 0
3 years ago
Find two unit vectors orthogonal to both given vectors. i j k, 4i k
Maurinko [17]
The cross product of two vectors gives a third vector \mathbf v that is orthogonal to the first two.

\mathbf v=(\vec i+\vec j+\vec k)\times(4\,\vec i+\vec k)=\begin{vmatrix}\vec i&\vec j&\vec k\\1&1&1\\4&0&1\end{vmatrix}=\vec i+3\,\vec j-4\,\vec k

Normalize this vector by dividing it by its norm:

\dfrac{\mathbf v}{\|\mathbf v\|}=\dfrac{\vec i+3\,\vec j-4\,\vec k}{\sqrt{1^2+3^2+(-4)^2}}=\dfrac1{\sqrt{26}}(\vec i+3\,\vec j-4\vec k)

To get another vector orthogonal to the first two, you can just change the sign and use -\mathbf v.
6 0
3 years ago
(Ross, 4.78) A jar contains 4 white and 4 black marbles. We randomly choose 4 marbles. If 2 of them are white and 2 are black, w
KATRIN_1 [288]

Answer:

Step-by-step explanation:

Given

Jar contains 4 white and 4 black marbles

We randomly select 4 marbles out of which 2 are white and 2 are black

Probability that 2 white and 2 black marbles are selected is

P=\frac{^4C_2\times ^4C_2}{^8C_4}

P=\frac{18}{35}

The process is continue for n trails until we choose the correct order

i.e. we have to fail in n-1 trails

For exact n selection Probability is given by

Req.\ Probability=Probability\ of\ failure\ in\ (n-1)\ trials\times Probability\ of\ getting\ exact\ order

=\left ( 1-\frac{18}{35}\right )^{n-1}\times \frac{18}{35}

8 0
4 years ago
Evaluate the expression 100 - 9(d + 6) for d = 2. *
alexdok [17]
100-9(2+6)=100-9(8)=100-72=
so the answer is 28
3 0
4 years ago
Read 2 more answers
Write the first 4 terms of the arithmetic sequence With first term 37 and common difference 9
alexandr402 [8]

Answers:

first term = 37

second term = 46

third term = 55

fourth term = 64

==========================================

Explanation:

Start at 37. Add 9 to this term to get the second term. Add 9 to that result to get the next term, and so on.

first term = 37

second term = 37+9 = 46

third term = 46+9 = 55

fourth term = 55+9 = 64

-----------

The nth term formula is

a(n) = 9n+28

It can be found by plugging a = 37 and d = 9 into the general form

a(n) = a + d*(n-1)

4 0
3 years ago
Read 2 more answers
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