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hodyreva [135]
4 years ago
6

Find the exact solution to the equation. Show your work for credit. (1 point) four to the power of quantity twelve minus four x

equals two hundred and fifty six.
Mathematics
1 answer:
padilas [110]4 years ago
7 0
4^(12-4x)=256  realize that 256 is 4^4  so we really have:

4^(12-4x)=4^4  taking the natural log of both sides

(12-4x)ln4=4ln4  dividing both sides by ln4

12-4x=4  subtract 12 from both sides

-4x=-8  divide both sides by -4

x=2


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Made up of quantities and the operations performed on them<br><br> what is this vocab word
maxonik [38]
Equation. This word may fit your definition of a set of values or numbers –intergers- coupled with basic operations. Equation is mathematical form of body where there are two adjacent corners which aims as the word says, equation. Take for instance in illustration 2x + 5x = 7x. This “equation” is composed of these numbers with unknowns and the operation of addition with them. When you have solved for 7x in the example, it only shows that to attain “equation”, solution is performed and done. Hence, these two works relationally.



7 0
3 years ago
The correlation between the height and weight of children aged 6 to 9 is found to be about r = 0.8. Suppose we use the height x
Andrew [12]

Answer:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}

The value of r is always between -1 \leq r \leq 1

And we have another measure related to the correlation coefficient called the R square and this value measures the % of variance explained between the two variables of interest, and for this case we have:

r^2 = 0.8^2 = 0.64

So then the best conclusion for this case would be:

c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.

Step-by-step explanation:

For this case we know that the correlation between the height and weight of children aged 6 to 9 is found to be about r = 0.8. And we know that we use the height x of a child to predict the weight y of the child

We need to rememeber that the correlation is a measure of dispersion of the data and is given by this formula:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}

The value of r is always between -1 \leq r \leq 1

And we have another measure related to the correlation coefficient called the R square and this value measures the % of variance explained between the two variables of interest, and for this case we have:

r^2 = 0.8^2 = 0.64

So then the best conclusion for this case would be:

c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.

3 0
3 years ago
Y=9x-9<br> Y=9<br> How do u solve dis ¿-¿
gregori [183]
Subsitute 9 for y
9=y=9x-9
add 9 to both sides
9+9=9x+9-9
18=9x+0
18=9x
divide by 9
2=x


y=9
x=2
8 0
3 years ago
Read 2 more answers
A store sees 120 customers in 8 hours. What is the unit rate ( in customers per hour)?
N76 [4]

Answer:

15 per hour

Step-by-step explanation:

120 people / 8 hours = 15 peeps per hour!

8 0
4 years ago
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Find the sum.<br><br> 7x + 15x =
Montano1993 [528]
I hope this helps you



22x
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3 years ago
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