Answer:
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392.
UMM.. Not sure
might not be all of them but i guess it should help you:/
Answer:
80 feet
Step-by-step explanation:
Given:
Initial speed of the car (
) = 40 ft/sec
Deceleration of the car (
) = -10 ft/sec²
Final speed of the car (
) = 0 ft/sec
Let the distance traveled by the car be 'x' at any time 't'. Let 'v' be the velocity at any time 't'.
Now, deceleration means rate of decrease of velocity.
So, 
Negative sign means the velocity is decreasing with time.
Now, 
using chain rule of differentiation. Therefore,
Integrating both sides under the limit 40 to 0 for 'v' and 0 to 'x' for 'x'. This gives,
![\int\limits^0_{40} {v} \, dv=\int\limits^x_0 {-10} \, dx\\\\\left [ \frac{v^2}{2} \right ]_{40}^{0}=-10x\\\\-10x=\frac{0}{2}-\frac{1600}{2}\\\\10x=800\\\\x=\frac{800}{10}=80\ ft](https://tex.z-dn.net/?f=%5Cint%5Climits%5E0_%7B40%7D%20%7Bv%7D%20%5C%2C%20dv%3D%5Cint%5Climits%5Ex_0%20%7B-10%7D%20%5C%2C%20dx%5C%5C%5C%5C%5Cleft%20%5B%20%5Cfrac%7Bv%5E2%7D%7B2%7D%20%5Cright%20%5D_%7B40%7D%5E%7B0%7D%3D-10x%5C%5C%5C%5C-10x%3D%5Cfrac%7B0%7D%7B2%7D-%5Cfrac%7B1600%7D%7B2%7D%5C%5C%5C%5C10x%3D800%5C%5C%5C%5Cx%3D%5Cfrac%7B800%7D%7B10%7D%3D80%5C%20ft)
Therefore, the car travels a distance of 80 feet before stopping.
Answer:
you would have gotten 36 questions correct :)
To solve the problem we must know about the correlation coefficients.
<h3>What is the correlation coefficient?</h3>
The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
- 1 indicates a strong positive relationship.
- -1 indicates a strong negative relationship.
- A result of zero indicates no relationship at all, therefore, independent variable.
The correlation coefficient 0.2 denotes, "There is a weak positive relationship between the size of a student's home and the student's age".
Given to us
- The correlation coefficient for the data is 0.2.
As we can see that the value of the correlation coefficient is 0.2, therefore, it is far from1 meaning the relationship is weak, while the '+' symbol denotes that the relationship is positive.
Hence, the correlation coefficient 0.2 denotes, "There is a weak positive relationship between the size of a student's home and the student's age".
Learn more about Correlation Coefficients:
brainly.com/question/15353989
Answer:
n= -6
Step-by-step explanation:
Simplifying
4 + -7n = -1(8n + 4) + 2
Reorder the terms:
4 + -7n = -1(4 + 8n) + 2
4 + -7n = (4 * -1 + 8n * -1) + 2
4 + -7n = (-4 + -8n) + 2
Reorder the terms:
4 + -7n = -4 + 2 + -8n
Combine like terms: -4 + 2 = -2
4 + -7n = -2 + -8n
Solving
4 + -7n = -2 + -8n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '8n' to each side of the equation.
4 + -7n + 8n = -2 + -8n + 8n
Combine like terms: -7n + 8n = 1n
4 + 1n = -2 + -8n + 8n
Combine like terms: -8n + 8n = 0
4 + 1n = -2 + 0
4 + 1n = -2
Add '-4' to each side of the equation.
4 + -4 + 1n = -2 + -4
Combine like terms: 4 + -4 = 0
0 + 1n = -2 + -4
1n = -2 + -4
Combine like terms: -2 + -4 = -6
1n = -6
Divide each side by '1'.
n = -6
Simplifying
n = -6
