Answer:
Either 3/80 grams or 0.0385 grams
Step-by-step explanation:
1 tablet = 1/40 of a gram
1/40 of a gram = 1 ÷ 40 = 0.025 grams
1 tablet = 0.025 grams
1.5 tablets = x
1/1.5 = 0.025 / x Cross multiply
x*1 = 0.025 * 1.5 Combine the factors
x = 0.0375 grams Convert to a fraction
0.0375 = 3/80
Y-y1=m(x-x1)
y-(-2)=2/3(x-5)
y+2=2/3x-10/3
y=2/3x-10/3-2
=> y=2/3x-16/3
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)
The rule for a 270° counterclockwise rotation is (x, y) ---> (y, -x).
So if you rotated (-5,5) 270° counterclockwise around the origin the new coordinates would be (-5,-5).
Hope this Helps!!
