Answer:
65625/4(x^5)(y²)
Step-by-step explanation:
Using binomial expansion
Formula: (n k) (a^k)(b ^(n-k))
Where (n k) represents n combination of k (nCk)
From the question k = 5 (i.e. 5th term)
n = 7 (power of expression)
a = 5x
b = -y/2
....................
Solving nCk
n = 7
k = 5
nCk = 7C5
= 7!/(5!2!) ------ Expand Expression
=7 * 6 * 5! /(5! * 2*1)
= 7*6/2
= 21 ------
.........................
Solving (a^k) (b^(n-k))
a = 5x
b = -y/2
k = 5
n = 7
Substituting these values in the expression
(5x)^5 * (-y/2)^(7-5)
= (3125x^5) * (-y/2)²
= 3125x^5 * y²/4
= (3125x^5)(y²)/4
------------------------------------
Multiplying the two expression above
21 * (3125x^5)(y²)/4
= 65625/4(x^5)(y²)
See the attached diagram.
In the right triangle, x is opposite the 23.6 degree angle, and the adjacent side is 250 m. This suggests using the tangent ratio.
Finally, to get the height of the tree, add Sarah's height, 1.5 m.
The tree is approximately 110.7m tall.
Answer:
10
-------------
3x^2
Step-by-step explanation:
First lets simplify what is inside the square root
300x8
---------------
27x12
3 * 100 x^8
------------------
3 *9 x^12
The 3's cancel and we know a^b/ a^c = a^(b-c)
100/9 x^ (8-12)
100/9 x^-4
sqrt( 100/9 x^-4)
Put the negative exponent in the denominator and make it positive
sqrt( 100 / (9x^4) )
We know that sqrt( a / b) = sqrt(a) / sqrt( b)
sqrt(100)
----------------
sqrt( 9x^4)
10
-------------
3x^2
Read more on Brainly.com - brainly.com/question/12900964#readmore
1
(a) The total cost, C, is given by:
b) With 3 ounces of toppings, we have
Hence Evan's ice cream would cost $4.50
Solve for n
Simply both sides 11(n-1)+35=3n
Distribute (11)(n) + (11)(-1) + 35 = 3n
11n+-11+35=3n
Combine like terms (11n)+(-11+35)=3n
11n + 24 =3n
Subtract 3n from both sides
11n+24-3n=3n-3n
8n + 24 = 0
Subtract 24 from both sides
8n+24-24=0-24
8n = -24
Divide both sides by 8
8n = -24
8 8
n = -3
