Answer:
A.) The sum of the product of the number of terms and the number of terms plus one.
Step-by-step explanation:
So, we have the sum of the first 22 positive even numbers:
S = 2 + 4+ 6 + ... + 44
We know the sum of such sequence is given by the (sum of the first number (2) and the last number (44)) multiplied by the number of terms (11).
S = (2 + 44) * 11 = 46 * 11 = 506
Answer A tells us it should be the sum of the number of terms (22) by the number of terms plus one (22 + 1 = 23).
S = 22 * 23 = 506
That's confirmed.
Answer B would give 22 * 21 = 462, so it's not right
Answer C would give 22 * 2 = 44, obviously not right
Answer D would give 22 * 22 = 484, close but not right.
Answer:
Part a) Exactly values
The width of the rectangle is 
The length of the rectangle is 
Part b) Approximately values
The width of the rectangle is 
The length of the rectangle is 
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of rectangle is equal to
we have
substitute the values in the formula
so
Solve for x
Divide by 4 both sides
square root both sides
The solution is the positive value
therefore
<em>Exactly values</em>
<em>Approximately values</em>
Answer:
At least 100 degrees
Step-by-step explanation:
Here, we want to make an inequality assertion from the graph drawn by Dr Hilton.
The correct conclusion here is that a person has a fever once his/her temperature is greater than or equal to 100 degrees.
How do we know this from the graph? from the graph, we can see a yellow circular mark placed on 100. This indicates that we are starting our consideration from the point 100 degrees. What we don not know is if our answer is less than, greater than, less than or equal to or greater than or equal to.
The correct answer is however greater than or equal to. Firstly we check the fill of the yellow circular mark. Once it is filled and not left blank, then it indicates an equal to relationship, meaning 100 degrees itself is included in the range.
finally we then consider the direction it faces and from here we can conclude that it is greater than or equal to
Answer:
Y=-2x
When x= -6 then y =12
Step-by-step explanation:
If y and x in direct variation then y=c*x for some constant c.
We are told
-4=c2
——> c= -2
So y= -2x
When x= -6 this becomes
Y= (-2) * (-6)
——> y = 12
