Answer:
This does represent an exponential function , because his savings increase by a constant rate
Step-by-step explanation:
Let
x -----> the number of weeks
y ----> the amount saved
In this problem we have a exponential function of the form
![y=a(b)^{x}](https://tex.z-dn.net/?f=y%3Da%28b%29%5E%7Bx%7D)
where
a is the initial value
b is the base
r is the rate of change
where
![a=\$6](https://tex.z-dn.net/?f=a%3D%5C%246)
---- because he doubles the amount each week
----> ![b=1+1=2](https://tex.z-dn.net/?f=b%3D1%2B1%3D2)
substitute
![y=6(2)^{x}](https://tex.z-dn.net/?f=y%3D6%282%29%5E%7Bx%7D)
therefore
This does represent an exponential function , because his savings increase by a constant rate
Answer:
m = 2 and n = 3
Step-by-step explanation:
We want to find the value of the integers m and n that will make the given expression true
(2x^ny^2)^m = 4x^6y^4
We can rewrite the left hand side of the equation as follows;
(2x^3y^2)^2
we can proceed to use inspection to ind the value of m and n
Through inspection since the left hand side of the equation now looks like the right hand side;
Then;
m= 2 and n = 3
The spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it
<h3>How to calculate the force acting on string?</h3>
According to Hookes law
F = ke
where
F is the applied force = 40N
k is the spring constant
e is the extension = 0.5
Substitute
40 = 0.5e
e = 40/0.5
e = 80cm
Hence the spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it
Learn more on hookes law here: brainly.com/question/12253978
Answer:
1/2 half
Step-by-step explanation:
(1/3)/2 = 1/6
1/6 + 1/3 = 1/6 + 2/6 = 3/6 = 1/2
Answer:
C. 162 m2
Step-by-step explanation:
Surface Area
= 2(11×2) + 2(8×2) + 2(10 + 33)
= 44 + 32 + 86
= 162
Hence C