To get the average resting position of the spring, we must subtract the minimum from the maximum height of the spring with respect to the floor.
So,
7 + (4/12) - [ 6 + (2/12) ] = 1.5 ft
Half of this is where the resting position of the spring is located with respect to the minimum height. If the resting position of the spring is set at 0, then the amplitude of the wave is:
A = 1.5 / 2 = 0.75
Since it takes 2 seconds for the spring to expand from minimum to maximum,
Period = 2 = 2π / n
n = π
The cosine function is:
y = A cos nt
where y is the distance from the resting position and t is the time in seconds.
y = 0.75 cos πt
The intermediate value theorem applies to the indicated interval and the importance of c guaranteed by the theorem is c=2,3.
Especially, he has been credited with proving the following five theorems: a circle is bisected via any diameter; the bottom angles of an isosceles triangle are the same; the other (“vertical”) angles are shaped by means of the intersection of two traces are same; two triangles are congruent (of identical form and size.
In mathematics, a theorem is an announcement that has been proved or may be proved. The evidence of a theorem is a logical argument that makes use of the inference guidelines of a deductive system to set up that the concept is a logical result of the axioms and formerly proved theorems.
In line with the Oxford dictionary, the definition of the concept is ''a rule or principle, especially in arithmetic, that may be proved to be true''. For example, in arithmetic, the Pythagorean theorem is a theorem and is maximum extensively used in the domain of science.
2-1
and interval = [4]
since, function fext is continuous in ginen
interval. And also
+(4) = 42+4
4-1
=
20 = 6667
$(5/4) = ($145/2
stone-1
= 5.833
simle, f(4) > $(5/2), hence Intermediate
Theorem & applies to the indicated
proved.
Now,
= 6
C-1
C-5c +6 = 0
C=2 or c=3
1=
3 or
C= 2, 3
<= 2
Learn more about theorem here brainly.com/question/26594685
#SPJ4
Answer:
9/41+10/41 which is 19/41
Step-by-step explanation:
If its right, mark me as brainliest
Answer: The cost of Parker's tuition was $25000
Step-by-step explanation:
Let x represent the cost of Parker's tuition.
Parker was able to pay for 60% of his college tuition with his scholarship. This means that the amount of his college tuition that he was able to pay is 60/100 × x = 0.6×x = 0.6x
The remaining $10,000 he paid for with a student loan. The amount remaining is x - 0.6x = 0.4x. This means that
0.4x was paid with a student loan. Therefore,
0.4x = 10000
x = 10000/0.4 = $25000
Answer:
the triangle is not right angled traingle
Step-by-step explanation:
For a right angle triangle
+ = where a is the base , b is the height and c is the hypotenuse
taking a= 6 b = 14 and c = 15
hence + =
36+196 = 232 which is not equal to 225
therefore the triangle is not right angled traingle