<span>Write an expression to represent the total cost of the tickets Antonio purchased.
</span>total number = z
29.35x + 17.45y = z
Answer:
<h2>
s(t) = 11t²/2 </h2>
Step-by-step explanation:
Velocity is defined as the rate of change in displacement of a body. It is expressed mathematically as v = change in displacement/time
v(t) = ds(t)/dt
ds(t) = v(t)dt
integrating both sides;
s(t) = 
Given the velocity function f(t) = 11t, the car's position (displacement) is expressed as s(t) = 
s(t) = 11t²/2 + C
at the initial point, s(0) = 0 i.e when t = 0, s(t) = 0. The resulting equation becomes;
0 = 11(0)²/2+ C
0 = 0+C
C = 0
To find the car's position, s(t), we will substitute C = 0 into the equayion above;
s(t) = 11t²/2 + 0
s(t) = 11t²/2
Hence s(t) = 11t²/2 is the required position of the car in terms of t.
Answer:
50% of rolling an even number.
33.33% of rolling a number greater than 4.
Step-by-step explanation:
<h2><em>Even Number Probability: </em></h2>
There're three possibilities to roll an even number: 2, 4, and 6. If it's a six sided dice, there're a total of six rolling possibilities, so the ratio is 3:6, 1:2, or 50% chance of rolling an even number.
<h2><em>
Greater Than Four Probability:</em></h2>
There're only two number greater than four on a traditional six sided dice: 5 and 6. There're, again, six sides on a six sided dice, so the ratio of rolling a number greater than four is 2:6, 1:3, or 33.33%.
Consider the point where the hexagons meet the positive half of the y axis.
The inner hexagon meets the axis at
, whereas the outer hexagon meets the axis at 
So, we're looking for a dilation constant
such that

So, solving by k we have
