Answer:
Yes.
Step-by-step explanation:
Divide - 48 / 8 which equals 6. Stacey makes 6 necklaces in 1 minute. Then, do 24 / 4. This also equals 6. Nick makes 6 necklaces in one minute. Therefore, their speed is equivalent.
1⅓πr³ = 36π
r³ = 36π/1⅓π
r³ = 27
r = ³√27
r = 3 feet
Sorry I don’t know that one but I recommend using the app photomath it really helps
Answer:
13 x 9 x 5
Step-by-step explanation:
because there is 13 steps in one flight and there fore we need to multiply 13 x 9
then we have to multiply the product by 5 because it is asked how many steps does she climb in five days
A.) To find the maximum height, we can take the derivative of h(t). This will give us the rate at which the horse jumps (velocity) at time t.
h'(t) = -32t + 16
When the horse reaches its maximum height, its position on h(t) will be at the top of the parabola. The slope at this point will be zero because the line tangent to the peak of a parabola is a horizontal line. By setting h'(t) equal to 0, we can find the critical numbers which will be the maximum and minimum t values.
-32t + 16 = 0
-32t = -16
t = 0.5 seconds
b.) To find out if the horse can clear a fence that is 3.5 feet tall, we can plug 0.5 in for t in h(t) and solve for the maximum height.
h(0.5) = -16(0.5)^2 + 16(-0.5) = 4 feet
If 4 is the maximum height the horse can jump, then yes, it can clear a 3.5 foot tall fence.
c.) We know that the horse is in the air whenever h(t) is greater than 0.
-16t^2 + 16t = 0
-16t(t-1)=0
t = 0 and 1
So if the horse is on the ground at t = 0 and t = 1, then we know it was in the air for 1 second.
