Answer:
Tn = Tn-1 + 2(n-1) + 5
Kindly note that Tn-1 means T subscript n-1
Step-by-step explanation:
Here, we want an expression for the nth term.
First term is 7
Then first common difference is 7
second common difference is 7 + 2
Third common difference is 9 + 2
So within the common differences, the nth term is 7 + (n-1) 2
Now, the nth term of the series would be;
Tn = Tn-1 + 7 + 2(n-1)
Tn = Tn-1 + 7 + 2n -2
Tn = Tn-1 + 2n + 5
Now there is a fix to this,
n for the term is not the same n for the common difference.
the 7th term works with the 6th common. difference, while the 8th term work for the 7th common difference.
So we might need to rewrite the final expression as follows;
Tn = Tn-1 + 2(n-1) + 5
The 2 possible ways to fence in the patio are having 8x9, with the nine being the length of the wall. Because 8+8+9=26. The second way is 18x4 and the 18 being the length of the wall. Because 18+4+4=26.
Answer:
x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made.
Step-by-step explanation:
f(x) = −x² + 50x − 264
−x² + 50x − 264 = 0
-x² + 44x + 6x - 264 = 0
-x(x - 44) + 6(x - 44) = 0
(x - 44)(-x + 6) = 0
x = 6, 44
Here we want to see which one of the given graphs is the one with the correct relationship between distance in centimeters and meters. We will see that the correct option is the first graph.
<h3>Working with changes of scale.</h3>
So we know that each centimeter on the map must represent 4 meters in reality, this is a change of scale, so the scale is:
1cm = 4m
First, this relation is linear (each centimeter will always be equal to 4 meters) so the two bottom options that are not linear can be discarded, so we only have the first and second graph.
If you read them, you can see that in the second one 1 meter is equivalent to something near 5 cm, so this is also incorrect.
The only graph that shows a correct scale is the first one, where for each increment of 1 unit on the horizontal axis (the one in centimeters) we have an increase of 4 m (estimated). This means that 1cm = 4m, as in our change of scale.
So the correct option is the first graph.
If you want to learn more about changes of scale, you can read:
brainly.com/question/9302261
Answer:
Chocolate - 420g
Eggs - 27
Lemon juice - 85ml
Sugar - 140g
Step-by-step explanation:
Given that:
Initial amount of ingredients:
Chocolate - 600g
Eggs - 36
Lemon juice - 100ml
Sugar - 200g
Amount of ingredients used :
Chocolate - 180g
Eggs - 9
Lemon juice - 15ml
Sugar - 60g
Amount of ingredient left :
Initial amount - Amount used :
Chocolate : 600g - 180g = 420g
Eggs : 36 - 9 = 27
Lemon juice : 100ml - 15ml = 85ml
Sugar : 200g - 60g = 140g
