Answer:
ok
Step-by-step explanation:
5 < t < 15
t > 15
The particle always moves to the right.
Answer:
Option D is correct.
as the particle always moves to the right
Step-by-step explanation:
Given the function: , 0<t<15;
where
s(t) represent the distance in feet.
t represents the time in second.
Since, when the particle is moving to the right,
⇒ s(t) is increasing.
so,
Find the derivative of s(t) with respect to t;
Use derivative formula:
Simplify:
As
⇒
[ ]
⇒ this is always true because square of any number is always positive
Therefore, it means that the particle always moves to the right.
Answer:
192x-4= -768
Step-by-step explanation:
The problem involves finding the sides of a triangle given the perimeter and conditions for each side. After setting up an equation based on the conditions and solving for x, which is assumed to be the shortest side, the sides of the triangle are found to be 39 feet, 78 feet, and 67 feet.
This is a mathematical problem involving triangles and perimeter. The perimeter of a triangle is the sum of all of its sides. In your case, if we assume the shortest side to be x feet, then the other two sides, according to the question, are 2x feet and x+28 feet. Since the perimeter is 184 feet, these can be added together and set equal to 184, as such:
x + 2x + (x+28) = 184.
Add together like terms:
4x + 28 = 184.
Subtract 28 from both sides:
4x = 156.
Divide both sides by 4:
x = 39 feet.
Therefore, the sides of the triangle are 39 feet, 78 feet (2 * 39), and 67 feet (39 + 28).
#SPJ3
2
4
8
16
Answer:
Cross Products Property of Proportions states that the product of the means is equal to the product of extremes.
i,e
Also, in the proportion the first (a) and the last terms(d) are called the extremes, whereas the second(b) and the third terms(c) are called the means.
Given the proportion:
First term = 1
Second term = 2
Third term = 4
Fourth term = 8
By definition;
The product of means =
The product of extremes =
Therefore, the product of both the means and the extremes is, 8