Answer:
160m/s
Step-by-step explanation:
The object can hit the ground when t = a; meaning that s(a) = s(t) = 0
So, 0 = -16a² + 400
16a² = 400
a² = 25
a = √25
a = 5 (positive 5 only because that's the only physical solution)
The instantaneous velocity is
v(a) = lim(t->a) [s(t) - s(a)]/[t-a)
Where s(t) = -16t² + 400
and s(a) = -16a² + 400
v(a) = Lim(t->a) [-16t² + 400 + 16a² - 400]/(t-a)
v(a) = Lim(t->a) (-16t² + 16a²)/(t-a)
v(a) = lim (t->a) -16(t² - a²)(t-a)
v(a) = -16lim t->a (t²-a²)(t-a)
v(a) = -16lim t->a (t-a)(t+a)/(t-a)
v(a) = -16lim t->a (t+a)
But a = t
So, we have
v(a) = -16lim t->a 2a
v(a) = -32lim t->a (a)
v(a) = -32 * 5
v(a) = -160
Velocity = 160m/s
the answer to 7 times z reduced by a third of the product is 2z
Answer:
Step-by-step explanation:
quadratic trinomial
: YES. Three terms, 2nd order polynomial.
cubic monomial: NO; this is neither a cubic nor a monomial (1 term).
not a polynomial
: NOT true; this is definitely a polynomial.
fourth-degree binomial: NO; it's a second-degree trinomial.
The expression 5h+8 represents Harriet's gross pay each day.
Step-by-step explanation:
Given,
Gross pay of Harriet = 35h + 56
This expression represent Harriet's pay for 7 day.
Harriet's gross pay per day = 
Harriet's gross pay per day = 
Harriet's gross pay per day = 
Harriet's gross pay per day = 5h+8
The expression 5h+8 represents Harriet's gross pay each day.
Keywords: division, addition
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