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3 years ago

Evaluate 6t -20-32u when t=6 and u=1/4

Mathematics

2 answers:

weqwewe [10]3 years ago

5 0

Answer:

$8$

Step-by-step explanation:

$6t - 20 - 32u = 6(6) - 20 - 32( \frac{1}{4} ) = 36 - 20 - 8 = 16 - 8 = 8$

Hope this helps ;) ❤❤❤

emmainna [20.7K]3 years ago

3 0

Plug in the numbers. 6(6)-20-32(1/4)
Then multiply first. 36-20-8.
Then go left to right for subtracting.
36-20= 16; 16-8=8
So your answer would be 8.

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Could the inverse of a non-function be a function? Explain or give an example.

Kitty [74]

Answer:

The inverse of a non-function mapping is not necessarily a function.

For example, the inverse of the non-function mapping $\lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\!$ is the same as itself (and thus isn't a function, either.)

Step-by-step explanation:

A mapping is a set of pairs of the form $(a,\, b)$ . The first entry of each pair is the value of the input. The second entry of the pair would be the value of the output.

A mapping is a function if and only if for each possible input value $x$ , at most one of the distinct pairs includes $x\!$ as the value of first entry.

For example, the mapping $\lbrace (0,\, 0),\, (1,\, 0) \rbrace$ is a function. However, the mapping $\lbrace (0,\, 0),\, (1,\, 0),\, (1,\, 1) \rbrace$ isn't a function since more than one of the distinct pairs in this mapping include $1$ as the value of the first entry.

The inverse of a mapping is obtained by interchanging the two entries of each of the pairs. For example, the inverse of the mapping $\lbrace (a_{1},\, b_{1}),\, (a_{2},\, b_{2})\rbrace$ is the mapping $\lbrace (b_{1},\, a_{1}),\, (b_{2},\, a_{2})\rbrace$ .

Consider mapping $\lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\!$ . This mapping isn't a function since the input value $0$ is the first entry of more than one of the pairs.

Invert $\lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\!$ as follows:

$(0,\, 0)$ becomes $(0,\, 0)$ .
$(0,\, 1)$ becomes $(1,\, 0)$ .
$(1,\, 0)$ becomes $(0,\, 1)$ .
$(1,\, 1)$ becomes $(1,\, 1)$ .

In other words, the inverse of the mapping $\lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\!$ would be $\lbrace (0,\, 0),\, (1,\, 0),\, (0,\, 1),\, (1,\, 1) \rbrace\!$ , which is the same as the original mapping. (Mappings are sets. There is no order between entries within a mapping.)

Thus, $\lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\!$ is an example of a non-function mapping that is still not a function.

More generally, the inverse of non-trivial ellipses (a class of continuous non-function $\mathbb{R} \to \mathbb{R}$ mappings, including circles) are also non-function mappings.

3 0

2 years ago

A class of 30 introductory statistics students took a quiz worth 100 points. the standard deviation of the scores was 0. what mu

bearhunter [10]

This means that everybody answered the same number of items. This means that every data value is equal to the mean. This outcome permits us to say that the sample standard deviation of a data set is zero if and only if all of its values are same or identical.

8 0

3 years ago

Read 2 more answers

if 5 litres of water are drawn from a cylindrical container of internal diameter 56cm find the drop in the level of water in the

AlexFokin [52]

Answer:

the drop in the level of water in the container is 2.03 cm

Step-by-step explanation:

The volume of a cylinder can be written as;

$V = \pi r^2h=\frac{\pi d^2h}{4} \\where;\\r = radius \\h = height \\d = diameter$

the change in height when the volume changes can be derived by differentiating the equation.

$dV =\frac{\pi d^2}{4} dh\\dh = dV\frac{4}{\pi d^2}$

substituting the given values;

$\left \{ {{dV=5 litres= 5000cm^3} \atop {d=56 cm}} \right.$

$dh = 5000\frac{4}{\pi * 56^2}\\dh = 2.03cm$

the drop in the level of water in the container is 2.03 cm

4 0

3 years ago

This one is for question #7

Varvara68 [4.7K]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The area of a rectangular piano is 5 5/8 square yards, it's length is 1 1/2 yards. what's the patios width in yards.

krek1111 [17]

Answer:

3 3/4 yards

Step-by-step explanation:

The area of a rectangle can be found by multiplying length * width. Since we have the area of the patio and the length, all we need to do to find the width is divide 5 5/8 (area) / 1 1/2 (length) =3 3/4 yards (width).

To check if this is correct, we can solve 1 1/2 * 3 3/4 = 5 5/8 yards.

Hope this helps!

7 0

2 years ago