the given figure is a rhombus, so it's area =

where, d1 and d2 are diagonals of the rhombus,
and since, the diagnonals of rhombus bisects each other, the values of their diagonals are
(2 × x) and (2 × 15) =》2x and 30 respectively,
so, by finding the area using the given diagonals and equating it with the real area, we get :
=》

=》

=》

=》

so,
value of x = 10 units
For this case, what you need to know is that to model this problem, you must use equations of the potential type:
y = A * (b) ^ t
Where:
A: initial population.
b: growth rate.
t: time.
Substituting values we have:
y = 15200 * (1.02) ^ t
After 10 years we have:
y = 15200 * (1.02) ^ 10
y = 18529
Answer:
An equation to model of the population growth is:
y = 15,200 ∙ 1.02 ^ x
the population after 10 years is:
about 18,529
The ratio 3:9 can also be written as a fraction 3/9.
Divide the numerator and denominator by 3 to get 1/3.
3:9 = 1:3
Answer:
Step-by-step explanation:
Note that the cost function is
, which gives us the cost of electricity for x hours of consumption
a). The function ![c^{-1}(x)[tex] which is the inverse function, tells us given a cost, the amount of hours we can consume electricty. b) Consider the equation [tex]y=7.1+23\ln(x)](https://tex.z-dn.net/?f=c%5E%7B-1%7D%28x%29%5Btex%5D%20which%20is%20the%20inverse%20function%2C%20tells%20us%20given%20a%20cost%2C%20the%20amount%20of%20hours%20we%20can%20consume%20electricty.%20%3C%2Fp%3E%3Cp%3Eb%29%20Consider%20the%20equation%20%3C%2Fp%3E%3Cp%3E%5Btex%5Dy%3D7.1%2B23%5Cln%28x%29)
To find out the inverse function, we interchange the labels of x and y and solve for y, that is
when solved for y we have

So the inverse function is given by
.
c) We will use the inverse function to find the amount of hours the customer can use eelectricity. It is simple obtained by evaluating the inverse function at the desired cost (i.e
)
that is

that is, the custome can consume at most 1.41 hours of electricity.