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3 years ago

What does the symbol ∈ mean

Mathematics

1 answer:

Kazeer [188]3 years ago

8 0

It mean the Element of so x(that symbol) A means x is an element of the set A

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Given this function: f ( x )=−2cos(4 πx ) Find the following:

Neporo4naja [7]

Answer:

Period =½

Equation of midline, y=0

Maximum =2

Minimum=-2

Step-by-step explanation:

The given function is

$f(x) = - 2 \cos(4 \pi \: x)$

The period is given by:

$\frac{2\pi}{b} = \frac{2\pi}{4\pi} = \frac{1}{2}$

The equation of the midline is y=0 since there is no vertical shift

The amplitude of this function is 2 so the range is -2≤y≤2.

Hence the maximum value is 2 and minimum value is -2

4 0

3 years ago

Each person in a group of college students was identified by graduating year and asked when he or she preferred taking classes:

swat32

Answer:

Step-by-step explanation:

The frequency table is attached below.

We have to calculate, the probability that the student preferred morning classes given he or she is a junior.

i.e $P(\text{Morning }|\text{ Junior})$

We know that,

$P(A\ |\ B)=\dfrac{P(A\ \cap\ B)}{P(B)}$

So,

$P(\text{Morning }|\text{ Junior})=\dfrac{P(\text{Morning }\cap \text{ Junior})}{P(\text{Junior})}$

Putting the values from the table,

$\dfrac{P(\text{Morning }\cap \text{ Junior})}{P(\text{Junior})}=\dfrac{\frac{16}{143}}{\frac{26}{143}}=\dfrac{16}{26}=0.615$

3 0

3 years ago

You invest a total of $5800 in two investments earning 3.5% and 5.5% simple interest. Your goal is to have a total annual intere

attashe74 [19]

The annual interest that can be earned through investment of an amount at a simple interest can be calculated through the equation,
I = P x (i)
where I is interest, P is the principal amount, and i is the decimal equivalent of the interest.

Let x be the amount deposited with 3.5% interest. With this representation, the amount deposited with 5.5% is 5800 - x.

The linear equation that would represent the given scenario is,
x(0.035) + (5800 - x)(0.055) = 283

Simplifying the equation,

0.035x + 319 - 0.055x = 283

Combining like terms,
-0.02x = -36
Dividing by -0.02,
x = 1800
$5800 - x = $5800 - $1800 = y
y = $4000

Hence, the value that should be deposited to the 5.5% is $40000.

4 0

3 years ago

Sherry has a package in the shape of a rectangular prism. What is the volume, in cubic inches (in.), of the rectangular prism? (

Rudiy27

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the dimension of the prism is not given. However, the following steps can serve as a guide for you.

The volume of a rectangular prism is calculated as thus:

$Volume = Length * Width * Height$