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Ghella [55]
3 years ago
7

Classify -6x5 + 4x3 + 3x2 + 11 by degree.

Mathematics
1 answer:
LenaWriter [7]3 years ago
4 0

Answer:

This is a 5th degree single variable polynomial.

Step-by-step explanation:

We have to classify the given polynomial - 6 x^{5} + 4x^{3} + 3x^{2} + 11 by degree.

This is a 5th-degree single variable polynomial. (Answer)

Note :

(i) ax + b is the general form of a single degree i.e. linear single variable polynomial.

(ii) cx² + dx + e is the general form of two degrees i.e. quadratic single variable polynomial.

(iii) px³ + qx² + rx + s is the general form of three degrees i.e. cubic single variable polynomial.

In this way, the degree of a polynomial increases with the maximum power of the variable.

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2×3×5×7 is the prime factorization of what number?
Alina [70]

Multiply the numbers together

2 x 3 = 6

5 x 7 = 35

6 x 35 = 210

210 is the original number

hope this helps

7 0
3 years ago
Determine the sum of the first 9 terms in the geometric series where r= -0.25 and a1= 256.
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\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad  \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=-0.25\\ a_1=256\\ n=9 \end{cases}

\bf S_9=256\left(\cfrac{1-(-0.25)^9}{1-(-0.25)}  \right)\implies S_9=256\left( \cfrac{1+0.25^9}{1+0.25} \right) \\\\\\ S_9=256\left(  \cfrac{52429}{65536}\right)\implies S_9=\cfrac{52429}{256}\implies S_9=204.80078125

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3 years ago
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Step-by-step explanation:

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The radius of a circle is 8 feet. What is the area of sector bounded by a 90° arc?
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Since 90 degree is 1/4 of a circle, the area will be 1/4 th area of the full circle.

The radius is given by, r = 8 ft, therefore, the area of the full circle is,

\begin{gathered} A=\pi\times r^2 \\ A=3.14\times8^2=200.96ft^2 \end{gathered}

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