Answer:
q -> p
Step-by-step explanation:
Given:
p: shape is a triangle
q: shape has 4 sides
= p -> q
B(t)=50×e^2.5t
e^2.5t = 20
t= ln(20) / 2.5
set B(t)=1000 and solve for t via 1000=50e2.5t
20=e2.5t
ln(20)=2.5t
t=ln(20) / 2.5
I hope this helps you
f(8)=2.8+5=21
g(8)=3.8+6=30
f-g(8)=21-30= -9
Answer:
Positive, linear equation.
Step-by-step explanation:
Even though the graphs coordinates looks a little dicey, all of the points are still going upward which is a positive linear equation.
Answer:
(a) 7 essays and 29 multiple questions
(b) Your friend is incorrect
Step-by-step explanation:
Represent multiple choice with M and essay with E.
So:
--- Number of questions
--- Points
Solving (a): Number of question of each type.
Make E the subject of formula in 

Substitute 36 - M for E in 


Collect Like Terms


Divide both sides by -4


Substitute 29 for M in 


Solving (b): Can the multiple questions worth 4 points each?
It is not possible.
See explanation.
If multiple question worth 4 points each, then
would be:

Where x represents the number of points for essay questions.
Substitute 7 for E and 29 for M.


Subtract 116 from both sides



Make x the subject

Since the essay question can not have worth negative points.
Then, it is impossible to have the multiple questions worth 4 points
<em>Your friend is incorrect.</em>