Answer:
See below
Step-by-step explanation:
I will assume the given denominator is 3a as there is nothing attached to the statement.
Lets first look at the domain of 2a+b. As it is a polynomial with unknowns a and b, we know it has its domain in all real numbers for both a and b as every polynomial does. For verifying it replace a and b by any real number you can think of.
Domain = a, b belonging to R
Now, if we divide 2a+b by 3a we will have:
(2a+b)/3a
As know we don not have a polynomial we cant state that the domain will still be all the real numbers for sure. We need to go further.
We have a fraction and as every fraction the denominator CAN'T be equal to 0, so 3a MUST be different to 0. This means that a MUST be different to 0. So, now our domain changes:
domain' = a, b belonging to R and a different to 0.
<span>(a) you can show the concentration by:
amount of salt / amount of water
amount of salt
= 30g / L
= [ 30 * 25g ] / [ 25L ] , 25L = 1 min
= [ 30 * 25g ] / min
amount of water
= 5000 + 25t
[ 30 * 25t ] / [ 5000 + 25t ]
= [ 30 * 25t ] / 25*[ 200 + t ]
= 30t / [ 200 + t ] yeah
(b)
lim t->∞ [ 30t / ( 200 + t ) ]
= lim t->∞ [ ( (1 / t) * 30t ) / ( (1 / t) * ( 200 + t ) ) ]
= lim t->∞ [ 30 / ( (200 / t) + 1 ) ]
= 30 / ( (200 / ∞) + 1 )
= 30 / 1
= 30
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
Answer:
7.193 ft
Step-by-step explanation:
|\
| \
| \
| \
h | \ 10 ft
| \
| \
| 46° \
---------------------
For the 46° angle, h is the opposite leg. The hypotenuse is 10 ft. The sine is the trig ratio that relates the opposite leg to the hypotenuse.
sin A = opp/hyp
sin 46° = h/10
h = 10 sin 46°
h = 7.193
Answer: 7.193 ft
Answer:
b) .474
Step-by-step explanation:
If 62% go to a four-year college, that means that those who don't represent 38% of the high-school graduates.
You pick up someone who is NOT going to a four-year college (so, he's among the 38%)... what's the chance he's in the 18% of the whole high-school graduates population that found a job?
To calculate that probability, we have to divide 18% by 38%.
P = 18% / 38% = 0.4736, so 0.474
Since we are sure he doesn't go to a four-year college, there's 47.4% of chances he finds a job.
Answer:
A) Distance time graph
B) d(t) = 25t
C) The expression shows the distance more clearly.
Step-by-step explanation:
A) A distance time graph as seen in the attachment provides a representation of the distance travelled.
We are told the car travels at a constant speed of 100 meters per 4 seconds. Which means that 100 m for each 4 hours. So, for 200m, it's 8 hours like seen in the graph and for 300m,it's 12 hours as seen in the graph.
B) And expression for the distance is;
d = vt
Where;
d is distance in metres
v is speed in m/s and t is time
We are told that the car travels at a constant speed of 100 meters per 4 seconds.
Thus, v = 100/4 = 25 m/s
Distance travelled over time is;
d(t) = 25t
C) Looking at both A and B above, it's obvious that the expression of the distance shows a more clearer way of getting the distance because once we know the time travelled, we will just plug it into the equation and get the distance. Whereas, for the representation form, one will need to longer graphs if the time spent is very long.
