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3 years ago

What is inverse notation?

1 answer:

5 0

In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, f(x) = y if and only if g(y) = x.

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Consider two vectors A and B A=14i and B= -4i+8j

DaniilM [7]

Assuming $\mathbf a,\mathbf b\in\mathbb R^3$ , you have

$\mathbf a\cdot\mathbf b=(14)(-4)+(0)(8)=-56$

so

$((\mathbf a\cdot\mathbf b)\,\mathbf i)\cdot\mathbf a=(-56\,\mathbf i)\cdot(14\,\mathbf i)=(-56)(14)=-784$

Next,

$\mathbf a+\mathbf b=(14\,\mathbf i)+(-4\,\mathbf i+8\,\mathbf j)=10\,\mathbf i+8\,\mathbf j$

Then

$(\mathbf a+\mathbf b)\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\10&8&0\\-4&8&0\end{vmatrix}=112\,\mathbf k$

$((\mathbf a+\mathbf b)\times\mathbf b)\times\mathbf k=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\0&0&112\\0&0&1\end{vmatrix}=\mathbf 0$

4 0

3 years ago

What is the fraction for the following decimal expansion? 0.16

lozanna [386]

Answer:

Step-by-step explanation:

As,

0.16

= 16/100

= <em>4/25.</em> [Taking common factor 4 from both 16 and 100]

6 0

2 years ago

6m−7)⋅4=left parenthesis, 6, m, minus, 7, right parenthesis, dot, 4, equals ¿Atorado?

mars1129 [50]

Answer:

24m - 28

Step-by-step explanation:

Given the expression (6m−7)⋅4, we are to simplify it. Using the distributive law;

A(B+C) = AB + AC [A is distributed over B and C]

For the expression (6m−7)⋅4, we will distribute 4 over 6m and -7 as shown;

(6m−7)⋅4 = 4(6m) - 4(7)

(6m−7)⋅4 = 24m - 28

Hence (6m−7)⋅4 = 24m - 28

7 0

3 years ago

Jessica wants to make tarts. To make tarts, she needs ¾ of a cup of flour per batch of tarts. If Jessica has 9 cups of flour, th

Paul [167]

Answer:

108

Step-by-step explanation:

Jesicca wants to make tarts

She uses 3/4 cup of flour per batch

Jessica has 9 cups of flour hence the number of batches she will make can be calculated as follows

= 9÷ 3/4

= 9÷ 0.75

= 12

= 12×9

= 108

Hence Jessica will make 108 batches of tart

4 0

3 years ago

Write the sum as a product of the GCF and a sum: 39 + 91

zysi [14]

13(3 + 7)

Hope I Helped You!!! :-)

Have A Good Day!!!

4 0

3 years ago