Answer:
D. m+s=30
2m+3s=75
Step-by-step explanation:
let m be the no of multiple choice questions and s be the short questions then there are a total of 30 questions
m+s=30------A
there are 2 points for m(multiple choice questions) and 3 points for short questions (s) and totalling to 75
2m+ 3s=75
Of the 16 small intervals indicated from 0 to 1 inch, the ant spans 14 of them, so

How is 7/8 equal to 0.875?
Since 125(8)=1000 and 125(7)=875 we know

For this question, it is reasonable to use the foil method. In order to use FOIL we need to understand what it stands for:
F-First
O-Outside
I-Inside
L-Last
(see attachment for visual)
Let's get started.
We are given:

Start by distributing the 2 first, then the 3, and then lastly the -6
<span><span><span><span><span><span><span>(<span>2x^2</span>)</span>(x)</span>+<span><span>(<span>2x^2</span>)</span><span>(−1)</span></span></span>+<span><span>(3x)</span>(x)</span></span>+<span><span>(3x)</span><span>(−1)</span></span></span>+<span><span>(−6)</span>(x)</span></span>+<span><span>(−6)</span><span>(−1)
From here multiply the terms you have gathered from FOILING:
</span></span></span>

From here we combine like terms. Like terms are terms that contain the same variable and/or exponential value. For example:
3c and 4c are like terms because they have the same variables
24 and 50 are like terms because they are simply numbers without any variables.
It is best to put the like terms together in parentheses so that it is easier to combine them.

Combine:

Final answer:
If you have an further questions, please do not hesitate to comment below! Have a nice day! :)
Answer:
The box should have base 16ft by 16ft and height 8ft Therefore,dimensions are 16 ft by 16 ft by 8 ft
Step-by-step explanation:
We were given the volume of the tank as, 2048 cubic feet.
Form minimum weight, the surface area must be minimum.
Let the height be h and the lengths be x
the volume will be: V=x²h then substitute the value of volume, we have
2048=hx²
hence
h=2048/x²
Since the amount of material used is directly proportional to the surface area, then the material needs to be minimized by minimizing the surface area.
The surface area of the box described is
A=x²+4xh
Then substitute h into the Area equation we have
A= x² + 4x(2048/x²)
A= x² + 8192/x
We want to minimize
A
dA/dx = -8192/x² + 2 x= 0 for max or min
when dA/dx=0
dA/dx= 2x-8192/x²=0
2x=8192/x²
Hence
2x³=8192
x³=4096
x=₃√(4096)
X=16ft
Then h=2048/x²
h=2048/16²
h=8ft
The box should have base 16ft by 16ft and height 8ft
Hence the dimensions are 16 ft by 16 ft by 8 ft
Answer:
y= 407.54654 ft
Step-by-step explanation:
This is an exponential decay functions
y = ab^x where a is the initial value and b is ( 1 - rate of decay)
a = 520
b = 1- 3%
y = 520 ( 1- .3) ^x
y = 520 ( .97) ^x
We want x to be 8 weeks
y = 520 ( .97) ^8
y= 407.54654 ft