I think the answer is D.348
No. The result of division is a quotient.
'Difference' is the result of subtraction.
Answer:
f(t)= 17- 50t/21
Step-by-step explanation:
distance covered after t hours= 50t miles
number of gal.=50t×1/21 =50t/21 gal.
f(t)=starting-consuming= remaining
= 17-50t/21
#1
<span>If <-3a,4kb> is parallel to <7a+b>,
then the coefficients of corresponding components are proportional, meaning
-3/7 = 4k/1.
Solve for k to get k=
-3/(28).
</span>
#2
It would be a similar problem to the previous. We can equate the given vector to the direction vector,<1/2,p>=<-3q,2>To find p and q, we equate coefficients in each component direction,1/2=-3q => q=-1/6p=2resulting in <1/2, 2>.
Next step is to reduce the vector to a unit vector.We know that for any given vector <a,b>, its unit vector is (a/sqrt(a^2+b^2), b/sqrt(a^2+b^2)) [similar to pythagoras).
First calculate sqrt((1/2)^2+2^2)=sqrt(1/4+4)sqrt(17/4)=sqrt(17)/2
Unit vector required,<1/2,2>/(sqrt(17)/2)=<1/2,2>*2/sqrt(17)>=
<1/sqrt(17),4/sqrt(17)>Check: magnitude of vector = (1/sqrt(17))^2+(4/sqrt(17))^2=1/17+16/17=1 ok
Factors are the 'two numbers multiplied' that give you 80. 40 and 2 give you 80, right? So does 20 and 4 & 8 and 10 ............Which means that the only ones that cannot be factors are 80 and 2 because those two multiplied together equal 160.
But of course, all of these numbers individually are factors of 80, but this problem specifically asks for pairs and not the individual factors alone.
I hope you benefit from my explanation.
