Answer:
sqrt(5)
Step-by-step explanation:
Honestly think this person means to find the magnitude of the vector. You can use dot product here, the vector with itself... But that isn't the last step.
v dot v=4+1=5
and so |v|=sqrt(5)
5 cups & 4 teaspoons
? cups & 6 teaspoons
2.5 cups is half of 5
2 is half of 4
you increased the recipe by 1/2
so for 6 teaspoons you will need 7.5 or 7 1/2 cups of flour b/c 5 + 2.5 = 7.5
ANSWER: 7 1/2
Given:
Volume of water in each container.
To find:
Difference in the rate of change.
Solution:
Take any two points on container 1.
Let the points are (10, 2) and (20, 4).




Rate of change for container 1 is
.
Take any two points on container 2.
Let the points are (5, 2) and (10, 4).



Rate of change for container 2 is
.
Difference = 

The difference in the rate of change between the two containers is
gallon per minute.
Answer: 3|x| = 3x when x
0 and 3|x| = -3x when x < 0
Step-by-step explanation: Absolute value basically refers to the distance of a point from the origin (zero), regardless of the direction. The absolute value of a number is represented by two vertical lines enclosing the number. For example, |6| = 6, or in this case, 3|x| = 3x. Here, the value is replaced by the term "x". "x" is used as a term for an unknown value/variable. so basically, we're solving for x kinda. Multiplying "x" (the unknown variable) by 3 gives us = 3x. We know from the sign
that x <u>can't be below zero</u>, only <u>above or equal to</u>. So, 3lxl = 3x when x is above or equal to the origin (zero). We know from the second problem that x <u>can't be above zero </u>because of the sign <, only <u>below zero</u>. Because we can only go below zero, that positive 3 turns negative. Multiplying x by -3 gives us = -3x. So, 3|x| = -3x when x is blow the origin (zero).
Note: <u>the absolute value of a number is always positive</u>, but in this scenario this rule doesn't apply because "x" is not a number, only a unknown value.
Sorry in advance if my explanation still doesn't make sense. Math isn't my thing really.
Answer:
A shock absorber?
Step-by-step explanation: