We find the zeros of h(t), which is where the height is 0. When the height is zero, the dolphin will be in the water.
Set h(t) = 0
<span>0=-16t^2+28t
Factor out -4t:
0= -4t(4t - 7)
The zeros, by zero factor property we set every factor to zero and combine solutions
t = 0 .. or ... 4t - 7 = 0
t = 0 .. or ... 4t = 7</span>
t = 0 .. or ... t = 7/4
<span>t = 0 .. or ... t = 1.75
since </span><span>h(t)=−16t^2+28t is a parabola that opens down </span><span>the dolphin gets out of the water at t = 0 and then gets back in at t = 1.75 (the vertex of their height is in between).
The total length is 1.75 seconds
</span>
So, we just need to figure out what number means what.
So, the flat fee is $16. This is going to be charged even for "zero" hours of work. So, this will be the Y-intercept (also known as the B-Value)
$23 per hour means that as time progresses, you will be charged more. 23 will be our slope since it's price is dependent on time spent. The slope is also known as the M value.
So, we just plug in our numbers and get
Y = 23x + 16
Answer:
Im pretty sure it is 3. Tell me if I am wrong!!!
Step-by-step explanation:
I Hope This Helps :)
Well, if the cement block is going to get painted, then you would have to find the surface area of that rectangular solid.
Multiply 4.5 by 7.25 to get the area of one side, then multiply that answer by 2 to get the area of the side opposite the given side. You'd end up with the area for two congruent sides.
Next, multiply 4.5 by 6.5. Multiply the sum by 2, since there is another congruent side opposite that.
Lastly, multiply 6.5 and 7.25, since they are the only numbers left to multiply anyway. Multiply the product by 2.
Your work should look somewhat like this:
4.5 x 7.25 = 32.625 (x2)
4.5 x 6.5 = 29.25 (x2)
6.5 x 7.25 = 47.125 (x2)
32.625 + 29.25 + 47.125 = 109
Multiply 109 by 2 (there are 6 sides to this prism; 3 are listed, so multiply 2 to get the area of the other 3)
FINAL ANSWER: 218 feet squared
