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Wittaler [7]
3 years ago
11

Find the degree of the polynomial -m^6-10m^3

Mathematics
1 answer:
Ilya [14]3 years ago
4 0

Answer:

We conclude that:

  • The degree of the polynomial is 6.

Step-by-step explanation:

Given

Given the polynomial

-m^6-10m^3

To determine

The degree of the polynomial

In order to determine the degree of the polynomial, we need to check the term with the highest of the degree with non-zero coefficients. The degree of an individual term is basically the exponent of the term.

In our case,

The exponents of the terms of this polynomial are, in order, 6, and 3.

Thus, the highest degree (larger exponent) of the term is 6.

Therefore, we conclude that:

  • The degree of the polynomial is 6.
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One-fourth of the residents of a particular community leave their garage doors unlocked when they go out to do an errand. The lo
Inessa [10]

Answer:

Required Probability = 0.625

Step-by-step explanation:

Given,

Probability of unlocked doors, P(U) = 0.25

Probability of locked doors, P(U') = 0.75

Probability of something being stolen when door is unlocked, P(S/U) = 0.05

Probability of something not being stolen when door is unlocked, P(S'/U) = 0.95

Probability of something being stolen when door is locked, P(S/U') = 0.01

Probability of something not being stolen when door is locked, P(S'/U') = 0.99\

probability of being stolen either door is locked or not,

P(S) =P(S/U).P(U) + P(S\U').P(U')

       = 0.05 x 0.25 + 0.95 x 0.75

       = 0.0125 + 0.0075

       = 0.02

Probability that door was unlocked when while steeling can by given by

P(U/S)\ =\ \dfrac{P(S/U).P(U)}{P(S)}

            =\ \dfrac{0.05\times 0.25}{0.02}

            = 0.625

hence, the required probability is 0.625.  

7 0
3 years ago
the function f(x) = –x2 − 2x 15 is shown on the graph. what are the domain and range of the function? the domain is all real num
VMariaS [17]
-x^2 - 2x + 15 in vertex form is -(x^2 + 2x - 15) = -(x^2 + 2x + 1 - 16) = -(x + 1)^2 + 16

Therefore, domain is all real numbers and range is {y|y ≤ 16}.
8 0
3 years ago
Read 2 more answers
Which point is on the line y = 1/2 x + 2?<br><br> A.(2, 4)<br> B.(2, 2)<br> C.(4, 4)<br> D.(4, 5)
KatRina [158]
<span>y = 1/2 x + 2 
if x = 4 then </span><span>y = 1/2 (4) + 2 = 2 + 2 = 4

(4,4)

answer
</span><span>C.(4, 4)</span>
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3 years ago
A cup is filled with pencils. The teacher sharpen 1/4 of them. A student sharpen 2/3 of them. The fraction of pencils left to be
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Answer:

1/12

Step-by-step explanation:

1/4+2/3=11/12

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3 years ago
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Answer:

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