Answer:
0
Step-by-step explanation:
h(t) = (t + 3)² + 5, -5 ≤ t ≤ -1
The average rate of change is the change in h over the change in t.
(h(-1) − h(-5)) / (-1 − (-5))
= ((-1 + 3)² + 5 − ((-5 + 3)² + 5)) / (-1 + 5)
= (4 + 5 − 4 − 5)) / 4
= 0
Answer:
<h2>16kg</h2>
Step-by-step explanation:
This problem is borers on elasticity of materials.
according to Hooke's law,<em> "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."</em>

where F is the applied force in N
k is the spring constant N/m
e is the extension in meters
Given data
mass m= 24kg
extensnion=15cm in meters=
= 
we can solve for the spring constant k
we also know that the force F = mg
assuming 
therefore

We can use this value of k to solve for the mass that will cause an extension of 

D. 7
e. 4
f. 5
g. 11
Get these by adding/subtracting the number at the end (use the opposite operation) and then divide the coefficient from both sides.
Answer:
a = -1
Step-by-step explanation:
The line of symmetry for the parabola given by ...
y = ax² +bx +c
is
x = -b/(2a)
Using the given values, we have ...
-2 = -(-4)/(2a)
Multiplying by -a/2, we get ...
a = (4/2)(-1/2) = -1
The value of "a" is -1.
It is in the Thousandths place