Answer:
20%
Step-by-step explanation:
p(outcomes)=#of favourable outcomes/#of possible outcomes
=1/5
=0.2
=20%
Integrate sin(3x+1) with respect to x. Use the substitution method. Let u=3x+1 be y our substitution. Then du/dx = 3, and du = 3dx.
Then we have "integrate sin u with respect to u" . Here's where things are just a bit tricky at first. You have "integrate sin (3x+1) with respect to x." If u = 3x+1, then du/dx = 3 and du=3dx. But we don't have 3dx; we have only dx. Manipulate du=3dx as follows: du/3 = dx.
Then, "integral of sin (3x+1) dx" => "integral of sin u (du/3)"
and this is equivalent to (1/3) "integral of sin u du." We get:
(1/3)(-cos u) + c, or (-1/3)*cos u + c. Finally, subst. 3x+1 for du, obtaining
(-1/3)*cos(3x+1) + C (answer).
You should find the derivative of this as a check. If the result of your differentiation is sin(3x+1), your integral was correct. Otherwise, it's not.
Don't worry... this material becomes much easier once you've gotten the knack of it.
Since it travel 50 miles per x hours, we need to multiply. We multiply 50 by x.
50x would be the expression for the car.
Answer:
$3.50 per hot dog. and hamburgers are $4.75 incase you need that too :)
Step-by-step explanation:
A scalene triangle has 3 unequal sides, so none of the sides are the same. A right triangle has one angle that is 90°, which is indicated by a little square. An isosceles triangle has 2 equal sides (it looks like an ice cream cone). And an equilateral triangle has 3 sides that are all the same.
