We have that
h(t) = –16t²<span> + 14t
using a graph tool
see the attached figure
</span><span>the cricket’s hang time is the difference between point (0,0) and (0.875,0)
</span>(0.875-0)=0.875 sec
the answer is 0.875 sec
Before we could add these numbers, 3/8 and 7/10 need a common denominator. Both 8 and 10 go into 40.
8 goes into 40 five times
3/8= (3*5)/40 = 15/40
10 goes into 40 four times
7/10= (7*4)/40= 28/40
ANSWER: A) 15/40 and 28/40
Hope this helps! :)
Answer:
See below
Step-by-step explanation:
Remember, we have two quantifiers, the existential quantifier ∃, and the universal quantifier ∀. The existential ∃ translates to English as "for some" or "there exists", whereas ∀ means "for all" or "every". We will also use the negation operator ¬.
First, let's write the proposition using quantifiers. "There is someone in this class who does not have a good attitude" translates to "(∃x)(¬S(x))". ∃x means that there exists a person in this class x. ¬S(x) means that x, the person that exists because of the quantifier, does not have a good attitude.
The negation is "¬(∃x)(¬S(x))" or equivalently "(∀x)(S(x))". To negate a proposition using quantifiers, change the quantifier (existential to universal and viceversa) and negate the predicate (in this case we negated ¬S(x)).
In English, "(∀x)(S(x))" means "Every person in this class has a good attitude".
Answer:
96
Step-by-step explanation:
The maximum height reached by the pebble modeled by the quadratic function,
, can be found by finding the vertex.
Let's first find the t-coordinate of the vertex . The max height will correspond to this value of t which means we have to find the h(t)-coordinate.
When comparing 
to 
, we see that:
We need to evaluate the following to find the t-coordinate of the vertex:
So now to find the correspond h(t)-coordinate, we will need to replace t in 
with 1:
<span>The distance in is : .
Divide that in .
The distance in is : .
Divide that in .
Starting at (,), move (,) to get to each new point.</span>
