Answer:
10
Step-by-step explanation:
Double the first equation we get 10p + 6s = 101.00
Subtract the second equation from the one we just got,
=> (10p + 6s) - (2p + 6s) = 101.00 - 31.00
8p = 80
p = 10
Step-by-step explanation:
sin∅=-3/4 in 4 quadrant which sine is negative there
using soh cah toa
sin=opp/hyp
where our opp=-3 and our hyp=4
using pythagoras theorem
hyp²=opp²+adj²
(4)²=(-3)²+adj²
16=9+adj²
16-9=adj²
adj²=7
adj=√7
from soh cah toa
cos∅=adj/hyp
cos∅=√7/4
Answer:
See below:
Step-by-step explanation:
If we do this, we know that 2 gallons takes 14 seconds. (2:14)
Based on that data, we can know that 1 gallon takes 7 seconds. (1:7)
-> 2/14 = 1/7
Now we can multiply by 12 to get 12 gallons on one side.
What we do on one side has to happen to the other side.
So, 12 gallons * 1 gallons = 12 gallons and 12 gallons * 7 gallons = 84 gallons.
So the final answer is 85 gallons,
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x<4
Answer:
Ker(T) has basis
Range(T) has basis
Step-by-step explanation:
If the matrix you wanted to represent is , then:
.
So, to find ker(T) you must solve the homogenous equation
Using Gauss elimination we obtain the simpler equivalent system
Then, we have that
.
We have that . On this case we say that the basis is the empty set .
The range of is the set of vectors of the form
So,
Where the angle brakets denotes the span.