Answer:
There is no expression to evaluate.
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
1/5(x)-2/3=4/3
Add 2/3 to each side
1/5(x)-2/3+ 2/3=4/3+2/3
1/5x = 6/3
1/5 x = 2
Multiply each side by 5
1/5x *5 = 2*5
x = 10
Answer:
The equation of the straight line is 3y - 2x = - 31
Step-by-step explanation:
The equation of the given line is 3y - 12 = - 2(5 - x)
⇒ 3y - 2x = 2 ......... (1)
Now, equation of straight line parallel to equation (1), will be
3y - 2x = c ........... (2)
Now, we have to determine c.
If equation (2) passes through point (14,-1), then
3(- 1) - 2( 14) = c
⇒ c = - 31
Hence, the equation of the straight line is 3y - 2x = - 31 (Answer).
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)
(4x10)=40
(2x1)=2
(7x0.1)=0.7
(3x0.001)=0.003
40+2+0.7+0.003=<u> 42.703</u>