Answer: 5.64 *10^2
Step-by-step explanation:
Answer and explanation:
Given : The position of an object moving along an x axis is given by
where x is in meters and t in seconds.
To find : The position of the object at the following values of t :
a) At t= 1 s




b) At t= 2 s




c) At t= 3 s




d) At t= 4 s




(e) What is the object's displacement between t = 0 and t = 4 s?
At t=0, x(0)=0
At t=4, x(4)=14.24
The displacement is given by,



(f) What is its average velocity from t = 2 s to t = 4 s?
At t=2, x(2)=-1.76
At t=4, x(4)=14.24
The average velocity is given by,




The statement that: pairs of corresponding points lie on parallel lines in a reflection, is false.
<h3>What are reflections?</h3>
When a point is reflected, then the point is flipped across a point or line of reflection
When a point is reflected, the following highlights are possible
- The corresponding points can line on the same line
- The corresponding points can line on parallel lines
Using the above highlights, we can conclude that the statement is false.
This is so because, corresponding points are not always on parallel lines
Read more about reflection at:
brainly.com/question/23970016
Answer:
The equation for nth term is 3n + 5.
Step-by-step explanation:
Let a1 be a,
a3 = a + (n - 1)d
or, 14 = a + (3 - 1)d
so, 14 = a + 2d
Now,
a5 = a + (n - 1)d
or, 20 = a + (5 - 1)d
or, 20 = a + 4d
now,
a + 4d = 20
a + 2d = 14
now,
a + 4d - ( a + 2d) = 20 - 14
or, a + 4d - a - 2d = 6
or, 2d = 6
so, d = 3
Now,
a + 2d = 14
or, a + 2(3) = 14
or, a = 14 - 6
so, a = 8
Now,
an = a + (n - 1)d
or, an = 8 + (n - 1)3
or, an = 8 + 3n - 3
so, an = 3n + 5
Answer:
<h2>91</h2>
Step-by-step explanation:
Find the volume of the prism shown. The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 13 cm and the width is 7 cm.