The sculpture consists of five identical prisms. JD says the surface area of the sculpture is 44 times the surface area of one p
rism. Which statement about JD's method is true?
1 answer:
The complete question in the attached figure
we know that
(see the attached figure n 2 to understand the problem)
[the surface area of one prism]=2*[x*x]+2*[x*y]+2*[x*y]----> 2x²+4xy
[the surface area of the sculpture]=2*[5*x*y]+2*[3*x*x]+2*[3*x*y]--> 6x²+16xy
now
<span>JD says the surface area of the sculpture is 4 times the surface area of one prism
</span>[the surface area of the sculpture]=4*(2x²+4xy)---> 8x²+16xy
we compare the value that JD says with the real value
(8x²+16xy) > (6x²+16xy)
the value that JD says is <span>greater in comparison with the real value
</span>This is because <span>JD should also subtract the areas of eight hidden surfaces.
the answer is
</span>JD should also subtract the areas of eight hidden surfaces<span>
</span>
we know that
(see the attached figure n 2 to understand the problem)
[the surface area of one prism]=2*[x*x]+2*[x*y]+2*[x*y]----> 2x²+4xy
[the surface area of the sculpture]=2*[5*x*y]+2*[3*x*x]+2*[3*x*y]--> 6x²+16xy
now
<span>JD says the surface area of the sculpture is 4 times the surface area of one prism
</span>[the surface area of the sculpture]=4*(2x²+4xy)---> 8x²+16xy
we compare the value that JD says with the real value
(8x²+16xy) > (6x²+16xy)
the value that JD says is <span>greater in comparison with the real value
</span>This is because <span>JD should also subtract the areas of eight hidden surfaces.
the answer is
</span>JD should also subtract the areas of eight hidden surfaces<span>
</span>
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Answer:
Exponential growth functions are:
Exponential decay functions are:
Step-by-step explanation:
Given:
An exponential function is of the form , where,
.
Now, if a > 0 and b > 1, then the exponential function represent exponential growth.
If a > 0 and 0 < b < 1, then the exponential function represent exponential decay.
Let us check each function now.
Option 1:
Here,
As 1.08 > 1, the function is exponential growth.
Option 2:
Here,
As 0.5 < 1, the function is exponential decay.
Option 3:
Here,
As 0.8 < 1, the function is exponential decay.
Option 4:
Here,
As 3 > 1, the function is exponential growth.
Option 5:
Here,
As 1.07 > 1, the function is exponential growth.
Option 6:
Here,
As 0.93 < 1, the function is exponential decay.
Answer:
1. Domain - All real numbers
Range - y<4
first graph
2. Domain - All real numbers
range - y<8
second graph
Step-by-step explanation:
