Answer:
cylinder volume= 1005.30965cm²
rectangular prism volume= 384cm²
total volume: 1005.30965+384= 1389.31cm²
Answer:
Negative
Step-by-step explanation:
Positive discriminant: graph cuts x axis twice
Zero discriminant: graph touches x axis once
Negative discriminant: graph does not cut or touch x axis
Answer:
d. C. 4; enlargement
Step-by-step explanation:
Scale factor = Ratio of one of the side length of the scale diagram to the corresponding side length of the original diagram
Side length of scale diagram = 8 units
Corresponding side length of original diagram = 2 units
Thus:
Scale factor = 8/2 = 4
Scale factor = 4
Since it's an while number, it implies that it is an enlargement.
For this case we must indicate the value of the following expression, expressed in scientific notation:

We have that for multiplication properties of powers of the same base, the same base is placed and the exponents are added:

Then, rewriting the expression we have:

Answer:

Answer:
t = 2.52 seconds
Step-by-step explanation:
h=139-15t-16t^2
We want to know when the ball hits the ground
That would be when h=0
0 = 139-15t-16t^2
We can use the quadratic formula to find t
t = -b ± sqrt(b^2-4ac)
----------------------
2a
where a = -16 b = -15 and c = 139
t = -(-15) ± sqrt((-15)^2-4(-16)139)
----------------------
2(-16)
t = (15) ± sqrt(225+8896)
----------------------
-32
t = (15) ± sqrt(9121)
----------------------
-32
t = 15+ sqrt(9121) t = 15- sqrt(9121)
-------------------- or -------------------
-32 -32
-3.453247707 or 2.515747707
Since time cannot be negative
2.515747707
Round to the nearest hundredth
t = 2.52 seconds