With receiving 70% of the 1,500 votes, Mr. Jones overall ended up receiving 1050 votes.
70% of 1500 is equal to (70 × 70) / 100 = 1050.
Answer:
Length= 68 miles
Width=28 miles.
Step-by-step explanation:
Length=2x+12
Width=x
2x+12+x=96
3x+12=96
3x=96-12
3x=84
X=28
Width=28
Length=(2×28)+12=68
We have that
<span>vertex (0,0)
and
focus (2.5, 0)
we know that
</span>vertex and focus lie on same vertical or horizontal line
<span>in this problem
</span>We can see that focus is right of vertex so parabola opens to right. It is horizontal parabola
<span>the equation is of the form
(y-k)</span>²=4a(x-h)
<span>where (h,k)-----> is the vertex
and
a------> </span>distance between vertex and focus
<span>
step 1
vertex (h,k)-------> (0,0)
step 2
find the distance a between point (0,0) and (2.5, 0)
a=</span>√[(0-0)²+(2.5-0)²]------> a=√(2.5)²------> a=2.5 units
<span>
the equation is
</span>(y-k)²=4a(x-h)------> (y-0)²=4*2.5*(x-0)-------> y²=10x
<span>
the answer is</span>
y²=10x
<span>
see the attached figure
</span>
Question:
The velocity function, in feet per second, is given for a particle moving along a straight line.

Find the displacement
Answer:
The displacement is 42.17ft
Step-by-step explanation:
Given

The displacement x, is calculated using:


Integrate

Substitute 12 and 1 for t respectively



