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RoseWind [281]
3 years ago
7

The complement of the universal set U is 0. True of False​

Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0
True, correct. The universal set
U
is characterized by ∀:∈
∀
x
:
x
∈
U
. Taking the complement yields a set
U
c
that is characterized by ∀:∉
∀
x
:
x
∉
U
c
. This is equivalent to the statement ¬∃:∈
¬
∃
x
:
x
∈
U
c
and hence
U
c
is an (the) empty set. (Depending on your theory, there may not be a unique empty set.)
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The graph shows the function f(x).
blsea [12.9K]

Answer:

Need the graph for final answer. Use the values of the graph to substitute into the slope formula and simplify.


Step-by-step explanation:

The average rate of change is the amount over an interval the outputs change in a ratio to the input change. In a linear function, this is constant and called slope. In all other function, it is called the average rate of change because the rate of change varies over the interval. We use the same formula for the average rate of change as we do slope. First we need both the input and output values of the function over the interval.

Slope:m=\frac{y_2-y_1}{x_2-x_1}

Substitute the values for your function into the slope formula and simplify.


4 0
3 years ago
Find the three cube roots of z=−3+3i in trigonometric form. Please show your work :) ill give brainliest
disa [49]

Answer:

The Answer to your problem is 3 √ 2

Step-by-step explanation:

Step 1.  Find 0  ( helps to plot z on complex plane)

z is in quadrant 4

0 is between  -\pi/z and 0

Step 2. Find modulus |z|

|z|= check mark 3 to the power of 2 + (-3) power of 2 = check mark, 9+9 = check mark 18 =check mark 9.

Step 3. Write out z in polar form

z = 3 check mark 2.

 

5 0
3 years ago
Which relationships describe angles 1 and 2?
attashe74 [19]

Answer:

adjacent angles and complementry

Step-by-step explanation:

I think

3 0
2 years ago
Read 2 more answers
The pressure at sea level is 11 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of
Liono4ka [1.6K]

Answer:

The function p(x) = 0.1x+1 ,   where  x is the depth in meters.

Step-by-step explanation:

As per the statement: The pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases.

Then, we have the two points i,e (0, 1) and (23, 3.3).

An equation of the line is in the form of y=mx+b where m is the slope or rate of the line and b is the y-intercept.

Let x represents the depth in meters and p(x)= y represents the pressure in atmosphere.

Calculate slope of the line:

Slope of line(m) is given by:

m = \frac{y_2-y_1}{x_2-x_1}

Substitute the given point we have;

m = \frac{3.3-1}{23-0} = \frac{2.3}{23} = 0.1

Then, our equation of line become:

y = 0.1x + b                           .....[1]

To solve for b;

Substitute the point (0, 1)  in [1];

1 = 0.1(0)+b

1 = b

Our equation for this line become: y = 0.1x +1

Now, we write this for x as a function of p,

i.e, p(x) = 0.1x + 1

Then, the function formula become;

p(x) = 0.1x+1 where x is the depth in meters.

6 0
3 years ago
3 less than a number h is -12
soldi70 [24.7K]
H-3=-12 is the equation.
Then add 3 on both sides to solve for h.

h-3=-12
+3 +3
————-
h=-9

h-3=-12 is the equation and h=-9
7 0
4 years ago
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