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Murrr4er [49]
3 years ago
8

A ball's position, in meters, as it travels every second is represented by the position function s(t) = 4.9t2+ 350. Include unit

s in your answer.
What is the velocity of the ball after 2 seconds?
Mathematics
1 answer:
loris [4]3 years ago
3 0

We are given the distance as a function of time:

s = 4.9 t^2 + 350

 

To get the velocity, we take the first derivative and substitute the value of t = 2:

ds = 9.8 t dt

ds / dt = 9.8 t

velocity = 9.8 (2)

<span>velocity = 19.6 m/s</span>

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Adjust the equation so the line passes through the points. Y=x+1
lapo4ka [179]

Answer:

Slope=  

2.000

2.000

​  

=1.000

x−intercept=  

−1

1

​  

=−1.00000

y−intercept=  

1

1

​  

=1.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(x+1)=0  

STEP

1

:

Equation of a Straight Line

1.1     Solve   y-x-1  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x-1  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/1 so this line "cuts" the y axis at y= 1.00000

 y-intercept = 1/1  =  1.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x=-1.00000

 x-intercept = 1/-1  = -1.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - 1.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  2.000/2.000 =  1.000  

Geometric figure: Straight Line

1.  Slope = 2.000/2.000 = 1.000

2. x-intercept = 1/-1 = -1.00000

3.  y-intercept = 1/1 = 1.00000

3 0
3 years ago
How do I solve xy=6 ? please help!!
Paladinen [302]
It is the graph of y = 6/x. You can use a graphing calculator....download wabbitemu from the google play store
8 0
3 years ago
Dianne's profit from selling magazine subscriptions varies directly with the number of subscriptions sold. Dianne made $30 from
mixas84 [53]
B) I say this bcz I divided 30 by 24 and got 1.25
Profit=1.25(subscription) 
(If someone else proves this wrong then I am sorry but I am in Middle School and my teacher just taught me this and I got an 100 so if it doesn't help I'm sorry) (I even used all those math calculator and word problem websites)
4 0
3 years ago
how many meatballs are required fora party of 10 adults and 5 childen? fomual is m=4a+2 where c= children and m=meatball and a=
professor190 [17]
The answer is 42 because there are 10 adults and
M=4(10)+2
M=40+2
M=42

3 0
3 years ago
How do the expressions 8+k2−6 and 8(k+2)−4k compare when k = 7?
Andreas93 [3]

Answer:

8+k2-6>8(k+2)-4k

Step-by-step explanation:

8+7×2-6 and 8(7+2)-4×7

8+14-16 and (56+16)-28

6 and 44

8 0
2 years ago
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