Answer:
Step-by-step explanation:
In order to find the slope of this equation, we can convert it into slope-intercept form, where we can find the slope more easily.
Slope intercept form is usually in the form 
, where m is the slope and b is the y-intercept.
Let's algebraically manipulate this problem so we solve for y.
<em>(Subtract 7x from both sides)</em>
<em>(Divide both sides by -2)</em> 
<em>(Rearrange the equation</em>)
From here, we can now see our equation is , in the form . Since m is the slope, and 
is m, our slope is .
Hope this helped!
Answer:
Step-by-step explanation:
Option A
9.21 * 10³ = 9,210 ≠ 921
Option A is FALSE.
Option B
9.21 * 10¹ = 92.1
Option B is TRUE.
Option C
0.921 * 100 = 92.1 ≠ 921
Option C is FALSE
Option D
0.921 * 10⁴ = 9,210
Option D is TRUE
Option E
0.0921 * 10² = 9.21
Option E is TRUE
Answer:
3 and 1/2
Step-by-step explanation:
because if one can holds 10 liters of gas, three cans would hold 30 because 10 times 3 is 30 plus the extra 5 liters in the remaining can
Answer:
0.45
Step-by-step explanation:
The correlation coefficient is used to measure the relationship between how two variables change. In this question, the two variables are cars speed and gas mileage. Since the speedometers were wrong as they were 5 mph too high in a constant manner, then the correlation between how changes in speed affect gas mileage will not be changed.
For example, if we are measuring how an increase of 15 mph decreased gas mileage, we are looking at the change in speed and it is the same if we start with 75 mph and then increase speed to 90 mph, or if we start with 45 mph and then increase to 60 mph. The change in speed for both cases will remain unchanged at 10 mph.
Now, since we have seen that the change in speed remains unchanged and since correlation coefficient is a measure of the relationship between how two variables change, then the new value of the correlation coefficient will remain the same as 0.45.
If a logarithm has a coefficient, then the coefficient can also be written as the exponent of the input of the logarithm. In other words, if you have the logarithm alog(x), that is equal to log(x^a). So the expression can be rewritten:
log(x^2)+log(y^3)
If tow logarithms of the same bases are added together that is equal to the logarithm of the product of the inputs of the two original logarithms. In other words, given log(x)+log(y), it can also be written as log(xy). So the expression can be combined into one logarithm:
log(x^2 * y^3)
