Answer:
3 boxes
Step-by-step explanation:
First, we find how many cubes are in each box, then we find how many boxes you need for 140 cubes.
<u>To find the number of cubes in a box we need to find the volume of the figure</u>
the top is 2 wide and 4 long so there are 8 cubes on each layer. Sense it is 8 cubes tall with 8 cubes on each layer the model has 8×8=64 cubes in each box.
<u>Now we divide then round up to find how many full boxes she needs to get 140 cubes or more.</u>
If 1 box has 64 cubes and she needs 140 cubes 140/64=2.187. Now we round up sense he can't buy a fraction of a box and the answer is: She needs 3 boxes
Answer:
(c) 43.
Step-by-step explanation:
Given:
Margin of error (E) = 2
Sample variance
= 44
Confidence level = 95%
The z- value at 95% confidence level is 1.96.
The sample using the provided information can be calculated as:

Hence, the correct option is (c) 43.
Five hinder and fourty six and two hundred and ten
Ans(a):
Given function is 
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4

We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(e):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation





4x-3x=-1-16
x=-17
Hence final answer is x=-17
Answer: 2.2876792e+13
Step-by-step explanation: calculator