Answer:
P = 0.09r²
Step-by-step explanation:
Price, p is proportional to the square of its radius, r
P = k*r²
a mirror with radius 20cm has a price of £36
P = k * r²
36 = k * 20²
36 = k * 400
36 = 400k
k = 36/400
k = 0.09
Substitute the value of k into the equation:
P = k * r²
P = 0.09 * r²
P = 0.09r²
Answer:
p - 2q and p - 3q
Step-by-step explanation:
A Series is given to us and we need to find the next two terms of the series . The given series to us is ,
Note that when we subtract the consecutive terms we get the common difference as "-q" .
Therefore the series is<u> </u><u>Ar</u><u>i</u><u>thmetic </u><u>Series</u> .
<u>Arithmetic</u><u> </u><u>Series</u><u>:</u><u>-</u> The series in which a common number is added to obtain the next term of series .
And here the Common difference is -q .
<u>Fourth </u><u>term </u><u>:</u><u>-</u><u> </u>
<u>Fifth</u><u> </u><u>term </u><u>:</u><u>-</u><u> </u>
<u>Therefore</u><u> the</u><u> </u><u>next </u><u>two </u><u>terms </u><u>are </u><u>(</u><u> </u><u>p </u><u>-</u><u> </u><u>2</u><u>q</u><u>)</u><u> </u><u>and </u><u>(</u><u> </u><u>p </u><u>-</u><u> </u><u>3q</u><u> </u><u>)</u><u> </u><u>.</u>
Answer: Carlos is correct
Step-by-step explanation:
2x^5-250x^2
The first step is to factorize out 2x^2
2x^2(x^3-125)
This can be rewritten as
2x^2(x^3-5^3),
Recall, difference if cube (a^3-b^3)
= (a-b)(a^2 +ab + b^2)
from our equation,
a= x
b = 5.
So the difference of cubes will be
2x^2[(x-5) (x^2 + 5x + 5^2)]
=2x^2[(x-5) (x^2 + 5x + 25)]
Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.
Amber is incorrect because 125 is equal to b3, not b.
Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.
Answer:
4.78 cm
Step-by-step explanation:
The formula for the volume of a cone of radius r and height h is
V = (1/3)πr²h. Here, V = 31.254 cm³ and r = 2.5 cm.
We begin by solving V = (1/3)πr²h for the unknown height, h:
31.254 cm³ 3(31.254 cm³) 93.762 cm³
h = ------------------------ = -------------------------- = -------------------- ≈ 4.78 cm
(1/3)πr² π(2.5 cm)² 19.635 cm²