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MrMuchimi
2 years ago
5

Simplify each expression. (-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃

Mathematics
1 answer:
babymother [125]2 years ago
4 0

The result of simplifying each number (-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃  using the exponent rules is -3

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃

Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:

(-3)¹/₃⁺ ¹/₃ ⁺ ¹/₃

(-3)³/₃

(-3)¹

-3

<h3>What is an exponent?</h3>

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

Learn more about exponent at: brainly.com/question/847241

#SPJ4

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Let A(t) be the area of the region in the first quadrant enclosed by the coordinate axes, the curve y = e −x , and the vertical
nasty-shy [4]

Answer:

I=\frac{t^2}{2}

Step-by-step explanation:

From exercise we have that x=t, t>0. Because A(t) be the area of the region in the first quadrant, we get that x started at 0. The limits for y are the following e-x and e. We get the integral :

I=\int\limits^0_t \int\limits^{e}_{e-x} 1 dy dx

I=\int\limits^0_t [y]_{e-x}^{e} dx

I=\int\limits^0_t (e-e+x) dx

I=\int\limits^0_t {x} \, dx

I=[\frac{x^2}{2} ]_{0}^{t}

I=\frac{t^2}{2}

5 0
3 years ago
A store sells three varieties of cheese—cheddar, Gouda, and Swiss. Each variety of cheese is available in two different styles—s
Vesna [10]

Answer:40

Step-by-step explanation:

their is 3 type of cheese and he buy 120

120/3=40

7 0
3 years ago
Please help me!!!!!!
Elodia [21]

Answer:

t=5.25x

Step-by-step explanation:

since X equals the number of egg cartons sold then we would have to multiply that by how much one egg carton costs (5.25$ each)

so if they sold 3 egg cartons the equation would be t=5.25*3.

(putting a variable next to a number means your multiplying it)

I hope I explained that clearly enough :P

8 0
3 years ago
The box-and-whisker plot below represents some data set. What percentage of the
statuscvo [17]

50% of the data values are greater than 45, it is calculated using the concept of box-whisker plot.

In a box-whisker plot as shown it is given in the picture ,

A rectangular shaped box with two lines with a vertical mark which denotes the minimum, first quartile, median , third quartile and  maximum quartile.

It is used in descriptive statistics.

So as per the given question box-whisker plot represents some data set .There is a number 45 just corresponding to it there is a vertical line which shows that 45 is the median of the data and here 45 is the 50th percentile,

It means that there is 50 % values are greater than 45 and 50% values are greater than 45.

By this method we can quickly find out the percentage of data  for which data the value is greater or lesser. It helps in analyzing the data and interpreting the results.

Hence 50% values are greater than 45.

You can find more about box- whisker plot method: brainly.com/question/1535617

#SPJ9

5 0
1 year ago
If (x + 2) is a factor of x3 – 19x – p, find the value of p. Help please​
Sergio039 [100]

If x-a is a factor of a polynomial P(x) then, a is its root.

So -2 is a root of x^3-19x-p

(-2)^3-19\cdot(-2)-p=0\\-8+38-p=0\\p=30

3 0
4 years ago
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