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sammy [17]
3 years ago
9

Find the product. (0.5n^5)^2(10n^7)^3

Mathematics
1 answer:
vodka [1.7K]3 years ago
8 0

Step-by-step explanation:

(0.5 {n}^{5} )^{2} (10 {n}^{7} )^{3}  \\  = (0.5)^{2} {n}^{5 \times 2} \times  {10}^{3} {n}^{7 \times 3} \\  = 0.25 {n}^{10}  \times 1000 {n}^{21}  \\  = (0.25 \times 1000){n}^{21 + 10} \\ \purple{ \boxed{ \bold{  (0.5 {n}^{5} )^{2} (10 {n}^{7} )^{3} = 250{n}^{31}}}}

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Use the quadratic polynomial x2+x−12 to answer the questions. A: Which summary correctly applies the Fundamental Theorem of Alge
Murljashka [212]

Answer:

<h3>It can be concluded that this polynomial has a degree of 2, so the equation x²+x−12=0 has exactly two root</h3>

Step-by-step explanation:

Given the quadratic polynomial  x²+x−12, the highest power in the quadratic polynomial gives its degree. The degree of this  quadratic polynomial  is therefore 2. <u>This means that the equation has exactly two solutions. </u>

Let us determine the nature of the roots by factorizing the  quadratic polynomial and finding the roots.

x²+x−12 = 0

x²+4x-3x−12 = 0

= (x²+4x)-(3x−12) = 0

= x(x+4)-3(x+4) = 0

= (x-3)(x+4) = 0

x-3 = 0 and x+4 = 0

x = 3 and -4

This shows that the  quadratic polynomial has <u>two real roots</u>

<u>It can be concluded that this polynomial has a degree of 2, so the equation x²+x−12=0 has exactly two roots</u>

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3 years ago
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Rudik [331]
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2 years ago
Help please explain as simple as possible
Virty [35]
Short answer: (-8)^2 + 8  x  -8 = 0

Use PEMDAS

"Evaluate the expression" just means solve until you can't simplify anymore. You must solve it in a certain order according to PEMDAS: Parentheses, Exponents, Multiply, Divide, Add, Subtract.

What does the beginning of the expression look like? It is (-8)^{2}.

According to PEMDAS, you must solve what is in the parentheses *first*. But, since there is only a number (-8), there is nothing to solve for and you can move on to exponents.

The squared symbol, the little 2, means you have to square what is *inside* the parentheses. (-8)^{2} = 64, because -8 times itself is 64.

Next comes multiplication. Remember, we are not working from left to right. We must multiply the values on the far right before we do any adding, because multiplication comes *before* addition.

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(64) + (-64)

Finally, we can add. In this case, because we are adding a negative number, we are really subtracting. 64 + -64 equals 0.
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3 years ago
This is the term in a polynominal without a variable
Scorpion4ik [409]

Answer:

Constant

Step-by-step explanation:

In the polynomial "a(x^2) + bx + c," c is a constant

3 0
2 years ago
Read 2 more answers
2/10 in whole number
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\frac{2}{10}

you just divide 2 by 10, which is

.2
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