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3 years ago

Find the greatest common factor of the following monomials. 45s^6t^5 6s^2t^3 12s^4t^4

1 answer:

3 0

$45s^6t^5=3\cdot\boxed{3}\cdot5\cdot \boxed{s^2}\cdot s^4\cdot\boxed{ t^3}\cdot t^2\\\\6s^2t^3=2\cdot\boxed{3}\cdot \boxed{s^2}\cdot \boxed{t^3} \\\\12s^4t^4=2\cdot2\cdot\boxed{3}\cdot \boxed{s^2}\cdot s^2\cdot \boxed{t^3}\cdot t\\\\GCF(45s^6t^5;\ 6s^2t^3;\ 12s^4t^4)=3s^2t^3$

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Which table values could be generated by the equation 4y+2x=16

Neko [114]

Answer:

x=0, y=4

x=2, y=5

x=4, y=6

x=6, y=7

x=8, y=8

x=10, y=9

Step-by-step explanation:

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3 years ago

A dataset from a government survey contains variables for 87 adults age from 18 to 85. The variables include iron level ( Âµ g/d

VARVARA [1.3K]

Answer:

Step-by-step explanation:

The complete question tells us that;

A dataset from a government survey contains variables for 87 adults age from 18 to 85. The variables include iron level ( Âµ g/dL), cholesterol level (mg/dL), and systolic blood pressure (mmHg). The researchers built a multiple regression to predict the mean iron level based on 2 variables, cholesterol level and systolic blood pressure.A partial regression ANOVA table is provided. Complete the ANOVA table aning. Use a significance level of a 0.05. Regression ANOVA Table Source df SSMSF Statistic p-value regression104535226.5 error 84 53813 640.6 Give the degrees of freedom as a whole number, the value of F to at least two decimals, the the p-value to at least three decimals. Then form the conclusion based on your results.

NOTE: the attached minilab worksheet calculates this problem.

below is the attached image.

7 0

3 years ago

4d2e - d2e find difference

Nataliya [291]

I think the answer is 1d.

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3 years ago

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Mika is a local farmer who is interested in how often residents in her town go to a farmer's market each month. She surveys 124

Murljashka [212]

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3 years ago

Let $a$ and $b$ be nonzero real numbers such that

algol [13]

<h3>Answer: -7/2</h3>

=========================================================

Explanation:

Let's expand out (2 - 7i)(a + bi) using the FOIL rule

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7bi^2

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7b(-1)

(2 - 7i)(a + bi) = 2a + 2bi - 7ai + 7b

(2 - 7i)(a + bi) = (2a+7b) + (2bi-7ai)

(2 - 7i)(a + bi) = (2a+7b) + (2b-7a)i

We're told the result is purely imaginary. What this means is that the real part (2a+7b) is zero, while the imaginary part (2b-7a) is nonzero. If both are zero, then we have 0+0i = 0 which is purely real.

For example, the complex numbers 0-7i and 0+2i are purely imaginary.

Let's use the fact that 2a+7b must be zero to do the following steps:

2a+7b = 0

2a = -7b

a = -7b/2

a/b = -7/2 which is the final answer

We must check to see if 2b-7a is nonzero

2b - 7a = 2b - 7(-7b/2)

2b - 7a = 2b + 24.5b

2b - 7a = 26.5b

The result is nonzero if and only if b is nonzero. Luckily we're told b is nonzero at the top of the problem. So we don't have any worries that (2b-7a) is zero.

Therefore, (2a+7b) + (2b-7a)i will be purely imaginary with a/b = -7/2

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A concrete example:

Let a = -14 and b = 4

a/b = -14/4 = -7/2

(2-7i)(a+bi) = (2-7i)(-14+4i) = 0 + 106i which is purely imaginary.

I'll let you do the steps in expanding that out using the FOIL rule.

4 0

1 year ago