Answer:
6.46
Step-by-step explanation:
h(t) = (1/2)
+ v0t + h0
Origin is at surface of water (h = 0), up is positive.
a = -g = -9.8 m/
v0 = 25 m/s
h0 = 50 m
h(t) = -4.9t2 + 25t + 50
Find t when
7 =
+ 25t + 50
- 25t - 43 = 0
t = [1/(2*4.9)] [25 ±√(
+ 4*4.9*43)]
t = (0.102)(25 ± 38.312)
t > 0 ⇒ use only the positive square root
t = (0.102)(25 + 38.312) ≅ 6.46 s
It is 7m above the water at about 6.46 s
Answer:
x-intercept(s): (−1.9900717, 0)
y-intercept(s): (0, 52.5)
Step-by-step explanation:
To find the x-intercept, substitute in
for
and solve for
. To find the y-intercept, substitute in
for
and solve for
.


<u>x-intercept</u>
To find the x-intercept(s), substitute in
for
and solve for
.








<u>y-intercept</u>







Answer:
square base pyramid
triangle base pyramid
Step-by-step explanation:
second one is square bas pyramid
third one is triangle base pyramid
Answer:
Step-by-step explanation:9 1/2 cups / (1/4 cups/bowl) = 19/2 cups x 4 bowls/cup = 76/2 bowls = 38 bowls. QED.
Answer: (2,-1).
Step-by-step explanation:
The given system of equations is


For
, table of values is
x : 0 1 2
y : 2 0.5 -1
For
, table of values is
x : -1 2 5
y : -2 -1 0
Plot these points on a coordinate plane and connect them be straight lines as shown below.
Form the graph it is clear that the lines intersect each other at (2,-1).
Therefore, the solution of given system of equations is (2,-1).