Answer:28
Step-by-step explanation:
10%= 8
35%/10%= 3.5
8 x 3.5 = 28
Answer:
9/2
Step-by-step explanation:
this is a simple integral function
given limits of interval [a,b] of a continuous function f(t), you can find the area under the curve by using:


using the fundamental theorem of calculus that states the integral of f(x) in the interval [a,b] is = g(a)-g(b), where g(x) is the antiderivative of f(x)
our g(x) = 
g(3)-g(0) = g(3) = 27/2 - 27/3 = 27/2-9 = 9/2
Answer:
There was a Horizontal translation left b units and then Vertical stretch or compression
Step-by-step explanation:
Given : 
We are supposed to show the transformation
Rule : f(x)→f(x+c)
Horizontal translation left c units
So, f(x+b) is the Horizontal translation left b units
Rule : f(x)→cf(x)
Vertical stretch or compression
So,
So, Initially there was a Horizontal translation left b units and then Vertical stretch or compression
Answer:
is the answer
Step-by-step explanation:
Equation of the line: y = 6/5x + 1
= 5y = 6x + 5
= 6x - 5y + 5
Equation of the perpendicular line: bx - ay + k = 0
= -5x -6y + k = 0
Equation passes through (6,-6),
-5(6) -6(-6) + k = 0
-30 + 36 + k = 0
6 + k = 0
k = -6
Substituting,
-5x -6y + k = 0
-5x -6y -6 = 0
-6y = 5x + 6
(Slope-Intercept form)
Answer:
-1.92 cm³
Step-by-step explanation:
The formula for the volume of a cube in terms of side length is ...
V = s³
Then the first-order approximation of volume for a small change ∆s in side length is ...
V(s +∆s) ≈ V(s) + V'(s)·∆s
and the change in volume is ...
∆V ≈ V(s +∆s) -V(s) = V'(s)·∆s
The derivative V'(s) is ...
V'(s) = 3s²
so the change in volume for s = 8 cm and ∆s = -0.01 cm is ...
∆V ≈ 3s²·∆s = 3(8 cm)²(-0.01 cm) = -1.92 cm³