Answer:
let this happens after t hours
so
80t + 60t = 392
140 t = 392
t = 392/140
=2.8 hours
Answer:
81 cm
Step-by-step explanation:
Length of a room = 12m 15cm
Width of a room = 8 m 91 cm
12 m 15 cm = 1200 cm + 15 cm = 1215 cm
8 m 91 cm = 800 cm + 91 cm = 891 cm
The floor of the room is tobe paved with squared tiles. We need to find the length of the largest tile that can be used.
To find it we can find the HCF of 1215 cm and 891 cm.
Prime factorization of 1215 = 3 x 3 x 3 x 3 x 3 x 5
Prime factorization of 891 = 3 x 3 x 3 x 3 x 11
HCF = 3 x 3 x 3 x 3
= 81
Hence, the length of the largest tile that can be used is 81 cm.
The derivative of a variable raised to exponent of n, x^n is equal to the product of n and x raised to exponent of n-1.
d(x^n) = (n)(x^n-1)
So, from the given
d(9x + 5) = (1)(9x^1-0) + 5(0)
= 9
The given value of x is irrelevant to this item because the derivative does not contain any variable x.
Answer:C
Step-by-step explanation:
See photo
We would find the midpoint by applying the formula for determining the midpoint of a segment which is expressed as
Midpoint = (x1 + x2)/2, (y1 + y2)/2
From the given points,
x1 = 4, y1 = - 5
x2 = 6, y2 = 1
Midpoint = (4 + 6)/2, (- 5 + 1)/2
Midpoint = 10/2, - 4/2
Midpoint = 5, - 2
