Maya is making dream catchers with her family. Each dream catcher takes 1.53 feet of string. She has 6 people in her family. How much string does Maya need total?
1.53*6=9.18
You know where to put the decimal because you count how many places in the decimal is for the two numbers being multiplied (the only decimal in the two numbers being multiplied is in the number 1.53 and that’s is two places in) and then go that many places in on the product (918 two places in from then right would be 9.18)
Answer:
(x, y) → (1.5x, 1.5y)
Step-by-step explanation:
Each of the image coordinates is 1.5 times the corresponding pre-image coordinate. The transformation is a dilation by a factor of 1.5 about the origin.
Some authors use a notation like D(1.5,O) to indicate the transformation. I like the one shown above, or ...
(x, y) → 1.5(x, y)
Assuming you mean f(t) = g(t) × h(t), notice that
f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)
Then the difference quotient of f is
Recall the angle sum identity for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
Then we can write the difference quotient as
or
(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)
Sydney is true because the bike trail is no longer than 24 miles
Let t = time
Between Rocky and Ken:
3000 + 3000(.10)(t)
Between Ken and Mike:
3000 + 3000(.12)(t)
Kens gain = The difference
