This is a prism. The surface area is:
S=2 Ab+Al
Area of the base: Ab=(14 cm)(7 cm)+(14 cm-7 cm)(7 cm)
Ab=98 cm^2+(7 cm)(7 cm)
Ab=98 cm^2+49 cm^2
Ab=147 cm^2
Lateral area: Al=Pb h
Perimeter of the base: Pb=14 cm+14 cm+7 cm+7 cm+(14 cm-7 cm)+7 cm
Pb=14 cm+14 cm+7 cm+7 cm+14 cm-7 cm+7 cm
Pb=3(14 cm)+2(7 cm)
Pb=42 cm+14 cm
Pb=56 cm
Height of the prism: h=5 cm
Al=Pb h = (56 cm)(5 cm)
Al=280 cm^2
S=2 Ab+Al
S=2(147 cm^2)+280 cm^2
S=294 cm^2+280 cm^2
S=574 cm^2
Answer: Option D. 574 cm^2
Answer:
pretty sure this would be A
<h3>
Answer: -2</h3>
===============================================
Explanation:
We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).
Comparing x+1 to x-k shows that k = -1
It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.
Plug this k value into the function
f(x) = 2x^6 + 3x^5 - 1
f(-1) = 2(-1)^2 + 3(-1)^5 - 1
f(-1) = 2(1) + 3(-1) - 1
f(-1) = 2 - 3 - 1
f(-1) = -1 - 1
f(-1) =-2
The remainder is -2
We can confirm this through synthetic division or polynomial long division.
Answer:
The population in 2039 would be;
<em>Note</em><em>: this value can be confirmed by using the spreadsheet to extrapolate values.</em>
Explanation:
Given that the population in 2019 was;
And the population in 2020 was;
The population growth can be modeled with a linear equation;
The slope m is given as;
And b would be the value of y at x=0.
where x is the number of years after 2019;
the model can then be written as;
At year 2039, x would be;
substituting the value of x into the model;
Therefore, the population in 2039 would be;
<em>Note: this value can be confirmed by using the spreadsheet to extrapolate values.</em>
