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3 years ago

4m² – 3m6 – 5m4 What is the degree of the polynomial?

Mathematics

1 answer:

Papessa [141]3 years ago

3 0

Answer:

Degree of the polymonial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.

Step-by-step explanation:

I think the equation is 4m² – 3 $m^{6}- 5m^{4}$

Therefore, degree of the polynomial is the sum of the powers of the variables,

2 + 6 + 4 = 12

Hope this helps!

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The point P(x,y) lies in the terminal side of an angle theta= -60° in standard position. What are the signs of the values of x a

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Answer:

Step-by-step explanation:

x is positive and y is negative

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3 years ago

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Forty-five people volunteered, but 200% of that number are needed. How many people are needed?

ziro4ka [17]

45times2=90
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3 years ago

Someone plz help 50 points and brainliest if correct!!!

givi [52]

Answer:

Ratio of one dimension:

k = R/r = 12/3 = 4

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Smaller volume given:

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3 years ago

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Solve for x in the equation x squared minus 4 x minus 9 = 29. x = 2 plus-or-minus StartRoot 42 EndRoot x = 2 plus-or-minus Start

Furkat [3]

Answer:

$x=2$\pm$\sqrt{42}$

Step-by-step explanation:

The given equation is:

$x^{2} -4x-9=29\\\Rightarrow x^{2} -4x-9-29=0\\\Rightarrow x^{2} -4x-38=0$

Formula:

A quadratic equation $ax^{2} +bx+c=0$ has the following roots:

$x=\dfrac{-b+\sqrt D}{2a}\ and\\x=\dfrac{-b-\sqrt D}{2a}$

Where $D= b^{2} -4ac$

Comparing the equation with $ax^{2} +bx+c=0$

a = 1

b = -4

c= -38

Calculating D,

$D= (-4)^{2} -4(1)(-38)\\\Rightarrow D = 16+152 = 168$

Now, finding the roots:

$x=\dfrac{-(-4)+\sqrt {168}}{2\times 1}\\\Rightarrow x=\dfrac{4+2\sqrt {42}}{2}\\\Rightarrow x=2+\sqrt {42}\\and\\x=\dfrac{-(-4)-\sqrt {168}}{2\times 1}\\\Rightarrow x=\dfrac{4-2\sqrt {42}}{2}\\\Rightarrow x=2-\sqrt {42}$

So, the solution is:

$x=2$\pm$\sqrt{42}$

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3 years ago

You select a random sample of n=14 families in your neighborhood and find the following family sizes (number of people in the fa

satela [25.4K]

Answer:

a. Best estimate for the mean family size for the population of all families in a country is 16.3571428571

b. 95% confidence interval for the estimate is 16.3571428571±0.7106240840. That is between 15.6465187731 and 17.0677669411

c. The sample is unlikely to be very representative of all families in a country.

Step-by-step explanation:

a. mean family size for the population of all families in a country can be estimated as sample mean, and calculated as:

$\frac{15+ 16+ 19+ 18+ 17+ 15+ 16+ 16+ 15+ 16+ 15+ 16+ 17+ 18 }{14}$ ≈ 16.3571428571

b. 95% confidence interval for the estimate can be calculated using the equation CI=M± $\frac{t*s}{\sqrt{N} }$ where

M is the mean estimate (16.3571428571)

t is the corresponding statistic in the 95% confidence level and with 14 degrees of freedom (2.160)

s is the standard deviation of the sample (1.2309777100)

N is the sample size (14)

s can be calculated as square root of mean squared differences from the sample mean.

Thus 95% CI=16.3571428571± $\frac{2.160*1.2309777100}{\sqrt{14} }$ ≈ 16.3571428571±0.7106240840

The sample is unlikely to be very representative of all families in a country because as the sample data increases, estimate will improve.

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3 years ago

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