Answer:
5
Step-by-step explanation:
We are given the geometric series:
-1, - 2, - 4, - 8.......
In the geometric series above, the common ratio = second term/first term = -2/-1
= 2
Where common ratio is greater than 1(r >1)
The sum of a geometric progression =
Sn = a(rⁿ -1)/r - 1
In the question we are asked to find the number of term = n
Sn = -31
a = -1
r = 2
Hence,
-31 = -1(2ⁿ - 1)/2 - 1
-31 = -1(2ⁿ - 1)
-31 = -2ⁿ + 1
2ⁿ = 1 + 31
2ⁿ = 32
2ⁿ = 2^5
n = 5
Therefore, the number of terms(n) = 5
No she can't. We could divide 5 1/2 cups by 3/4 cups but there is an easier way.
Let's change 3/4 to .75 and multiply by 10 since we need 10 servings.
.75 x 10 = 7.5 so she would need 7.5 cups or 7 1/2 cups
Since she only has 5 1/2 cups, she does not have enough.
Answer:
See attached graph.
Step-by-step explanation:
To graph the equation, use its form y = mx+b to guide you.
Since y = 7x + 1 then m = 7 and b=1. Start on the y-axis at 1. Plot this points. From this point go up 7 units and over 1 units. Plot this point (1,8). Connect the points.
A translation is a RIGID TRANSFORMATION meaning it will stay the same shape and size.
