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Juliette [100K]
2 years ago
7

What is thirty three and a third percent of 237?

Mathematics
1 answer:
Georgia [21]2 years ago
6 0

Answer:

79

Step-by-step explanation:

(237)(1/3) = 79

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j^13

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105=3x-15 <br> what is the value of x
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A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the
zlopas [31]
1. The function h(t)=-16t^{2}+48t is a parabola of the form ax^{2}+bx. The the formula for the axis of symmetry of a parabola is x= \frac{-b}{2a}. We can infer from our function that a=-16 and b=48, so lets replace those values in our formula:
x= \frac{-b}{2a}
x= \frac{-48}{-2(16)}
x= \frac{-48}{-32}
x= \frac{3}{2}
x=1.5
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.

2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
0=-16t^{2}+48t
-16t(t-3)=0
t=0 or t-3=0
t=0 or t=3
From our previous point we know that the ball reaches its maximum time at t=1.5, which means that <span>it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>

7 0
3 years ago
Read 2 more answers
The distance Train A travels is represented by d = 67t, where d is the distance in kilometers and t is the time in hours. The di
Thepotemich [5.8K]

Answer:

Train A's unit rate is 67 km per hour.

Train B's unit rate is 75 km per hour.

Train B is faster than Train A

Step-by-step explanation:

Train A

Distance traveled by Train A is represented by :

d=67t

where d represents distance traveled in kilometers and t is the time in hours.

To find the unit rate of Train A, we will plugin t=1 and get the distance traveled by Train A in 1 hour which will be the unit rate of Train A in km/hr.

d=67(1)

d=67

So, distance traveled by Train A in 1 hour = 67 km

∴ Train A's unit rate is 67 km per hour.

Train B

For Train B, we are given the table for the time in hours and distance traveled in that duration.

Taking time =2 hours the distance traveled by Train B= 75 km

To find distance traveled in 1 hour we apply unitary method.

2\ hr = 150\ km

So 1\ hr = \frac{150}{2}\ km = 75\ km

So, distance traveled by Train B in 1 hour = 75 km

∴ Train B's unit rate is 75 km per hour.

Difference in units rates = 75-67=8\ km/hr

On comparing their unit rate i.e. the speed of the trains we find out that Train B is faster than Train A by 8 km/hr

3 0
3 years ago
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