Answer:
64 in
Step-by-step explanation:
Because the radius of the circle is 32 in,
the diameter is two times the radius, or 32 * 2 = 64 in
Answer:
- <43, -30>
- <-1, 6>
Step-by-step explanation:
The answer is found by carrying out the indicated arithmetic. Multiplying a vector by a scalar multiplies each of the vector's components. Adding vectors adds corresponding components.
<u>Question 1</u>
3u -5v = 3<11, -5> -5<-2, 3>
= <3·11 -5(-2), 3(-5) -5(3)>
= <33 +10, -15 -15>
= <43 -30>
<u>Question 2</u>
m - n = <0, 0> -<1, -6>
= <0 -1, 0 -(-6)>
= <-1, 6>
Answer:
x=3
Step-by-step explanation:
3^5x-9=(3^-3)^2x-8
3^5x-9=3^-3^(2x-8)
5x-9=-3(2x-8)=3
Answer:
55 lbs of $0.40 and 45 lbs of $1.40
Step-by-step explanation:
Let's say that we have two buckets, one that weighs x pounds and the candies in it are $0.40 per pound and another that weighs 100-x pounds (because we know the two added together must be 100 pounds) and the candies in it are $1.40 per pound.
There is a third bucket that is made when you combine the two, it weighs 100 pounds and the candies in it are $0.85. Multiply the cents per pound by the pounds of the candy for each bucket and you get this equation:
0.4 * x + 1.4 (100-x) = 0.85 * 100
Solve!
0.4x + 140 - 1.4x = 85
-x + 140 = 85
-x = -55
x = 55
From this we get that 100 - x = 45.
So, the answer is 55 lbs of $0.40 and 45 lbs of $1.40