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Advocard [28]
3 years ago
13

Which pair of expressions is equivalent using the Associative Property of Multiplication? 6(4a ⋅ 2) = 24a ⋅ 12 6(4a ⋅ 2) = (4a ⋅

2) ⋅ 6 6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2 6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2
Mathematics
1 answer:
galben [10]3 years ago
4 0


<span>Associative Property of Multiplication : (ab)c = a(bc)
</span>so
answer is

6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2
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State a counterexample to the conjecture below if a number is divisible by 6 and 2 then there’s is divisible by 12
siniylev [52]
Any number that is divisible by 6 is already divisible by 2, but is not necessarily divisible by 12.

Counterexamples include: 6, 18, 30, 42, 54, and so on. You can find more by multiplying 6 by any odd number. However, multiplying 6 by an even number provides another "2" that would make it divisible by 12.
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3 years ago
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Four more than the quotient of a number,n,and 8 is 28
strojnjashka [21]
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This is how you write out this equation.
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Consider the population regression of log earnings [Yᵢ, where Yᵢ= ln(Earningsᵢ)] against two binary variables:
puteri [66]

Answer:

A) allows the population effect on log earnings of being married to depend on gender

Step-by-step explanation:

The regression equation of a dependent variable based on two or more independent variables is of the form:

Y=b_{0}+b_{1}X_{1} +b_{2}X_{2}+b_{3}X_{1}X_{2}

Here,

<em>Y</em> = dependent variable

X_{1} and X_{2} = independent variables

X_{1}X_{2} = interaction term

b_{1},\ b_{2}\ and \ b_{3} = regression coefficients.

If there is a significant interaction effect present then this implies that the effect of one independent variable (X_{1} orX_{2} ) on the dependent variable (<em>Y</em>) differs every time with different value of the other independent variable  (X_{1} orX_{2} ) .

The provided regression equation is:

Y_{i}=\beta _{0}+\beta _{1}D_{1i}+\beta_{2}D_{2i}+\beta _{3}D_{1i}D_{2i}+u_{i}

Y_{i} = dependent variable

D_{1i} and D_{2i} = independent variables

In this case the interaction term is defined as follows:

The effect of being married on log earnings is dependent on different values of the variables D_{2i}, i.e. the gender of the i^{th}person.

Thus, the correct option is (A).

3 0
3 years ago
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I am Lyosha [343]

Answer :

-1/3

Explaination :

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K = 3 / -9

K =

-  \frac {1}{3}

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barxatty [35]

Answer:

b. 2x+6y≤120

Step-by-step explanation:

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