Answer:
33 ft²
Step-by-step explanation:
The formula for the surface area of a square pyramid is:
SA = b² + 2bs
Where b is the measure of the base and s is the slant height
Let's substitute into this equation:
SA = b² + 2bs
SA = 3² + 2(3)(4)
Solve:
SA = 3² + 2(3)(4)
Square 3:
SA = 3² + 2(3)(4)
SA = 9 + 2(3)(4)
Multiply:
SA = 9 + 2(3)(4)
SA = 9 + (6)(4)
SA = 9 + 24
Add:
SA = 9 + 24
SA = 33
Therefore, the surface area is 33 square feet.
24 cans in total is your answer
So it tells us that g(3) = -5 and g'(x) = x^2 + 7.
So g(3) = -5 is the point (3, -5)
Using linear approximation
g(2.99) is the point (2.99, g(3) + g'(3)*(2.99-3))
now we just need to simplify that
(2.99, -5 + (16)*(-.01)) which is (2.99, -5 + -.16) which is (2.99, -5.16)
So g(2.99) = -5.16
Doing the same thing for the other g(3.01)
(3.01, g(3) + g'(3)*(3.01-3))
(3.01, -5 + 16*.01) which is (3.01, -4.84)
So g(3.01) = -4.84
So we have our linear approximation for the two.
If you wanted to, you could check your answer by finding g(x). Since you know g'(x), take the antiderivative and we will get
g(x) = 1/3x^3 + 7x + C
Since we know g(3) = -5, we can use that to solve for C
1/3(3)^3 + 7(3) + C = -5 and we find that C = -35
so that means g(x) = (x^3)/3 + 7x - 35
So just to check our linear approximations use that to find g(2.99) and g(3.01)
g(2.99) = -5.1597
g(3.01) = -4.8397
So as you can see, using the linear approximation we got our answers as
g(2.99) = -5.16
g(3.01) = -4.84
which are both really close to the actual answer. Not a bad method if you ever need to use it.
Mars year is 1.88 of your Earth years.
So if you are 13,
1.88 x 13=24.44, or 24 years old, I think.
Answer:
a) 3x - 6x^2y + 2xy - 2x
b) 4x^2 <u>- 3y </u>+ 2x <u>+ 7y</u>
Step-by-step explanation:
Like terms is when the terms are the same.
For example, 3x and -2x would be like terms (both have x).
Not like terms would be 4x^2 and +2x (one is just an x and the other is x^2).
