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3 years ago

Create a quartic polynomial function in standard form with zeros 3, –4, –4, and 1? Show work.

Mathematics

1 answer:

Vilka [71]3 years ago

3 0

The polynomial is the expansion of (x-3)(x-1)(x+4)²

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Briea is 1 less than 1/3 of the age of Mr Chapel. If Briea is 14 write and solve an equation to find Mr Chapels age

BaLLatris [955]

Answer:

14=1/3c-1

Step-by-step explanation:

Mr. Chapel =c

14=1/3c-1

7 0

3 years ago

How much Zn and how much HCl should be used to produce 1.5 g ZnCl2

tatuchka [14]

Answer:

0.71963 g of Zn
0.80256 g of HCl

Step-by-step explanation:

The required mass of reactants can be computed from the number of moles of product.

moles of ZnCl₂ = (1.5 g)/(136.282 g) ≈ 0.0110066 moles

Then the mass of Zn required is ...

mass of Zn = (0.0110066 mol)(65.382 g/mol) = 0.71963 g

Two moles of HCl are used in the reaction with each mole of Zn, so the mass of HCl required is ...

mass of HCl = 2(0.0110066 mol)(36.458 g/mol) = 0.80256 g

_____

<em>Comment</em>

The discrepancy in the last two decimal places of the weights above versus the calculator output below comes from rounding of moles of Zn to 4 significant digits, instead of 5 or more. The number of moles of ZnCl₂ is closer to 0.0110066.

4 0

3 years ago

Use the rational zero theorem to create a list of all possible rational zeros of the function f(x)=14x7-4x2+2

frosja888 [35]

Answer:

Factor this polynomial:

F(x)=x^3-x^2-4x+4

Try to find the rational roots. If p/q is a root (p and q having no factors in common), then p must divide 4 and q must divide 1 (the coefficient of x^3).

The rational roots can thuis be +/1, +/2 and +/4. If you insert these values you find that the roots are at

x = 1, x = 2 and x = -2. This means that

x^3-x^2-4x+4 = A(x - 1)(x - 2)(x + 2)

A = 1, as you can see from equation the coefficient of x^3 on both sides.

Typo:

The rational roots can be

+/-1, +/-2 and +/-4

Step-by-step explanation:

6 0

3 years ago

What is the circumference of this circle, in millimeters? Use for .

Mrrafil [7]

Answer:

Step-by-step explanation:

C= d*pi

49 x 2 = 98

98 x 3.14= 307.72

Since 308 is the closest to 307.72 it's the most accurate answer.

6 0

3 years ago

Read 2 more answers

A researcher selects two samples of equal size and computes a mean difference of 1.0 between the two sample means. If the pooled

s344n2d4d5 [400]

Answer:

The Cohen's D is given by this formula:

$D = \frac{\bar X_A -\bar X_B}{s_p}$

Where $s_p$ represent the deviation pooled and we know from the problem that:

$s^2_p = 4$ represent the pooled variance

So then the pooled deviation would be:

$s_p = \sqrt{4}= 2$

And the difference of the two samples is $\bar X_a -\bar X_b = 1$ , and replacing we got:

$D = \frac{1}{2}= 0.5$

And since the value for D obtained is 0.5 we can consider this as a medium effect.

Step-by-step explanation:

Previous concepts

Cohen’s D is a an statistical measure in order to analyze effect size for a given condition compared to other. For example can be used if we can check if one method A has a better effect than another method B in a specific situation.

Solution to the problem

The Cohen's D is given by this formula:

$D = \frac{\bar X_A -\bar X_B}{s_p}$

Where $s_p$ represent the deviation pooled and we know from the problem that:

$s^2_p = 4$ represent the pooled variance

So then the pooled deviation would be:

$s_p = \sqrt{4}= 2$

And the difference of the two samples is $\bar X_a -\bar X_b = 1$ , and replacing we got:

$D = \frac{1}{2}= 0.5$

And since the value for D obtained is 0.5 we can consider this as a medium effect.

7 0

3 years ago