Answer: False.
Step-by-step explanation:
A corollary is the statement that follows with no or small proof required from an already proven statement or theorems.
Its proof is not difficult because it is based on the statement or theorem which has been already proved.
For example the fundamental theorem of algebra and its corollary.
Therefore, the statement "A corollary is a statement that can be proved using a theorem, but the proof is usually difficult." is false.
Answer:
Step-by-step explanation:
Assuming the complete question :"It took 16 seconds for a mercury thermometer to rise from -4C degrees to 100C degrees when it was taken from a freezer and placed in boiling water. Show that somewhere along the way the mercury was rising at the rate of 6.5degreesC/second.
"
For this case we can find the rate of change like this:
For this cas we have the following data:
represent the initial temperature
represent the final temperature
we assume that we star at 0 seconds
represent the final time
So we can replace the info and we got:
And that satisfy the proof.
Answer:
The discount is $40
Step-by-step explanation:
If he does average exactly 18 points per game in the first 6 games, then his TOTAL points in those 6 games will be (6 x 18) = 108 points.
In his first 5 games, he has (20 + 17 + 14 + 18 + 19) = 88 points so far.
In order to total 108 for 6 games, he has to score (108 - 88) = 20 points in the 6th game. If he scores more than that, then his average for the 6 games will be more than 18 points per game.
In order to meet the goal that Coach Jones has set for him, Javon must score 20 points or more in the next game. S ≥ 20 .
This might scare Javon ... he has to equal or beat his best performance of the last 5 games.
9514 1404 393
Answer:
a. plane DEA
Step-by-step explanation:
A plane can be named by naming any 3 non-collinear points in the plane, or by using the plane's name as indicated in the drawing.
Here, points in the plane are A, D, E, F, with DEF all on the same line. So A plus any two points from the line will constitute a name for the plane. Also, this plane is identified with a script M that can be used to name the plane.
M is not an answer choice, but DEA is. So, the appropriate choice is ...
plane DEA
__
F is a point, not a plane name. C is not on the plane, so cannot be used to name it. 'k' is a line name, not a plane name.