For every integer k from 1 to 10, inclusive the kth term of a certain sequence is given by [(−1)^(k+1)]∗[1/2^(k)].
If T is the sum of the first 10 terms in the sequence, then T is:
B.
A. Greater than 2
B. Between 1 and 2
C. Between 1/2 and 1
D. Between 1/4 and 1/2
E. Less than 1/4
Answer:
Recall that the height of the object, in meters, is a function of elapsed time, in seconds. Thus what
means is that the object is at a height of 8 meters when 12 seconds have passed since its launch.
Answer:
7
Step-by-step explanation:
Answer: There are 5 grasshoppers, 15 crickets and 20 ladybugs
Step-by-step explanation:
The question in english is:
Jose has found several insects. There are 10 less grasshoppers than crickets. There are 5 less crickets than ladybugs. If Jose has found 5 grasshoppers, how many ladybugs did he find and how many crickets? Write two equations to solve the problem.
Let's tag grasshoppers with
, crickets with
and ladybugs with
.
So, we are tolde there are 10 less grasshoppers than crickets:
(1) We have the first equation
Then, we are told there are 5 less crickets than ladybugs:
(2) This is the second equation
If
and we substitute this in both equations we will have:
(3)
Isolating
:
(4) There are 15 crickets
Substituting (4) in (2):
(5)
Isolating
:
There are 20 ladybugs
Therefore:
There are 15 crickets and 20 ladybugs
Answer:
6+2x >32
2x>32-6
2x>26
divide both sides by 2
therefore, x>13
Step-by-step explanation:
this is because x don't has a negative sign or is on the other side