Answer:
-197.2
Step-by-step explanation:
Since it is arithmetic series, first find the difference d between the two know series.
3.8 - 6 = - 2.2
d = -2.2
a = 6
Tn = -29.2
Looking for the n term, use the linear method.
Tn = a+( n - 1)d
Substitute all the parameters
-29.2 = 6+( n - 1 ) -2.2
-29.2 = 6 - 2.2n + 2.2
- 29.2 = 8.2 - 2.2n
-29.2 - 8.2 = - 2.2n
-37.4 = -2.2n
n = 37.4/ 2.2
n = 17 terms.
To Find the exact sum of the arithmetic series, use the sum formula below
Sm = n/2( 2a + (n - 1)d)
Sm = 17/2( 2 × 6 + ( 17 - 1 ) -2.2
Sm = 17/2(12 - 35.2)
Sm = 8.5( - 23.2)
Sm = - 197.2
Therefore, the exact sum of the arithmetic series is -197.2
Let the angle of elevation is x and the height of the rocket from the ground is y
tanx = y/15
by differentiating both sides with respect to T
sec²x·dx/dt = (dy/dt)/15
at y = 30 , the hypotenuse of the triangle = 15√5
sec²x=(15√5/15)²=5
5 dx/dt = 11/15
dx/dt = 11/75 rad/sec
Answer:
1
Step-by-step explanation:
We are finding the discriminant of the function
It needs to be written in the form ax^2 +bx+c =0
2x^2 +3x = -1
Add 1 to each side
2x^2 +3x+1 = -1+1
2x^2 +3x+1 = -0
b^2 -4ac
a=2 b=3 and c = 1
3^2 - 4(2)(1)
9 - 8
1
Answer:
B. Events A and B are mutually exclusive if A and B have no sample points in common.
Step-by-step explanation:
When two events( call them A and B) are mutually exclusive , it is impossible for them to happen together.
P(A and B) = 0
"The probability of A and B together equals 0 (impossible)"
Hence, the correct answer is B.
B. Events A and B are mutually exclusive if A and B have no sample points in common.
Answer:
Yes! The given quadrilateral represents Parallelogram.
Reason: The given quadrilateral has opposite sides congruent.
Step-by-step explanation:
Given the quadrilateral with the four vertices.
- Now in order to determine whether the given quadrilateral is a parallelogram or not, we need to check whether the opposite sides are congruent or not.
- It is clear that the given quadrilateral has opposite sides congruent.
Therefore, the given quadrilateral represents Parallelogram.
Hence,
Yes! The given quadrilateral represents Parallelogram.
Reason: The given quadrilateral has opposite sides congruent.
