Let b be the speed of the boat; and c be the speed of the current. Then:
5b-5c=130
5b+5c=220
10b=350
b=35
c=9
☺☺☺☺
Answer:
6:22,10:110,9:33
Step-by-step explanation:
all the answers are factors of 3 and 11
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)
Answer:
(f+g)(x) = x² - x + 6
Step-by-step explanation:
We can find (f+g)(x) by adding f(x) and g(x).
f(x) = x² + 1
g(x) = 5 - x
(f+g)(x) = f(x) + g(x)
(f+g)(x) = (x² + 1) + (5 - x)
(f+g)(x) = x² + 1 + 5 - x
(f+g)(x) = x² - x + 6
Answer:
1/7
Step-by-step explanation:
Given that:
Using a scale factor of 7 ; the dimension of a rectangle is : 2 inches by 3 inches
In other to obtain the original size of the rectangle, all that is needed is to multiply the sacl d dimension by the reciprocal of the initi. Scale factor used, that is 1 / 7
This gives :
(2 inches by 3 inches) * 1/7
2/7 inches by 3/7 inches
Hence, required scale factor is 1/ 7
