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scoray [572]
3 years ago
15

Round 1,208.7438 to the nearest hundredth.

Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

the answer is 1,208.74

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The figure below is a right rectangular prism with
svlad2 [7]

Answer:

The area of the base of the rectangular prism is:

  • <u>18 square centimeters</u>.

The height of the rectangular prism is:

  • <u>6 centimeters</u>.

The volume of the rectangular prism is:

  • <u>108 cubic centimeters</u>.

Step-by-step explanation:

To find the area of the base of the prism, you must remember that it corresponds to the rectangle formed by the points ABCD, with this in mind we apply the area formula that is equal to:

  • Area of a rectangle = base * height.

Since the rectangle formed by the mentioned points has a base of 9 cm and a height of 2 cm, these values are the ones we use in the formula:

  • Area of a rectangle = 9 cm * 2 cm
  • <u>Area of a rectangle = 18 cm^2 </u>

Since the height requested by the second question is not from the rectangle at the base but from the entire prism, you should look at the height formed by the AW points, which as you can see is:

  • <u>Prism height = 6 cm </u>

Once we have these two data, it is very easy to calculate the volume since they are what we require in the volume formula:

  • Volume = area * height.
  • Volume = 18 cm^2 * 6 cm
  • <u>Volume = 108 cm^3</u>
6 0
3 years ago
according to the fundemental theorem of algebra, how many roots exist for the polynomial function? f(x) = (x^3-3x+1)^2
Svetradugi [14.3K]

Answer:

6

Step-by-step explanation:

First, we can expand the function to get its expanded form and to figure out what degree it is. For a polynomial function with one variable, the degree is the largest exponent value (once fully expanded/simplified) of the entire function that is connected to a variable. For example, x²+1 has a degree of 2, as 2 is the largest exponent value connected to a variable. Similarly, x³+2^5 has a degree of 2 as 5 is not an exponent value connected to a variable.

Expanding, we get

(x³-3x+1)²  = (x³-3x+1)(x³-3x+1)

= x^6 - 3x^4 +x³ - 3x^4 +9x²-3x + x³-3x+1

= x^6 - 6x^4 + 2x³ +9x²-6x + 1

In this function, the largest exponential value connected to the variable, x, is 6. Therefore, this is to the 6th degree. The fundamental theorem of algebra states that a polynomial of degree n has n roots, and as this is of degree 6, this has 6 roots

3 0
3 years ago
HELP PLEASE!!! i do not understand
mel-nik [20]

Answer:

a)-3>-7

b)3>-4 The symbol was preserved.

c)-6<8 The symbol was reversed.

Step-by-step explanation:

Hope this helps! :)

5 0
2 years ago
What is the equation of a line passing through the point (1,2) and parallel to the line y=3x+2?
vova2212 [387]
Y=3x-1 have a great day!!
3 0
3 years ago
Read 2 more answers
What is 45 divided by 8.0
Alexxx [7]

Answer:

answer is 5.625

hope it helps

7 0
3 years ago
Read 2 more answers
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