Answer: 4x
Step-by-step explanation: Move all terms that don't contain y to the right side and solve. y = 4x
the second duckling is wandering by 2.6 units distance than the first duckling .
<u>Step-by-step explanation:</u>
Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:
Let a = (12,5) and b =(13,-8)
The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .
Given:
The radius, r=4x
The height,
To find the volume of the cone:
The volume of the cone formula is,
Substitute the values of r and h in the above formula we get,
Hence, the volume of the cone is
Thus, the correct option is option D.
The solution (x,y) needs to work in both equations. With multiple choice you can do guess and test method. Otherwise you need to combine the two equations into one by substitution or elimination methods.
21. substitution works well here since one equation is y= x+3. you can easily substitute the (x+3) for y in the other equation.
2x + (x+3) = -6
3x + 3 = -6
3x = -9
x = -3
use this in either equation to find y.
y = (-3)+3
solution: (-3,0)
22. these both equal y so they equal each other.
4x - 1 = 3x +6
4x - 3x = 6 + 1
x = 7
use this in either equation to find y
y = 4(7) - 1
y = 28 - 1
y = 27
solution: (7,27)
23. one equation is y = 2x - 3. So substitute (2x -3) for y in the other equation.
4x = 2(2x - 3) + 6
4x = 4x - 6 + 6
4x = 4x
x = x
any solution will work, infinitely many.
24. infinitely many solutions means the two equations are the same equation. Like the previous one they didn't look the same but if you put them both in terms of y...
y= 2x-3
4x = 2y + 6
4x - 6 = 2y
(4x - 6)/2 = y
2x - 3 = y
same equation.
from the image, I can't see all options but A & C do not look like the same equations. It's got to be either B or D.
Answer:
Dependent sample: The same textbook are being compared.
Step-by-step explanation:
We are given the following in the question:
A student wants to compare textbook prices for two online bookstores.
Sample 1 from bookstore A:
$115, $43, $99, $80, $119
Sample 2 from bookstore B:
$110, $40, $99, $69, $109
Dependent and independent sample:
- Dependent samples are paired observations for same set of items.
- Independent samples are observations made on two different sets of items.
- If the values in one sample affect the observations in the other sample, then the samples are dependent.
- If the values in one sample have no effect about those of the other sample, then the samples are independent.
Thus, the given sample is dependent sample as the same textbook is being compared from two different bookstore.
