The conversion rate US dollars to Euros is represented with the function:
E(n)=0.72n
n- number of dollars
E(n) - Euros as a function of US dollars
The conversion rate Euros to Dirhams is :
D(x)=5.10x
x- number of Euros
D(x)- Dirhams as a function of Euros
<span>We are trying to find D(x) in terms of n.
D(x) = 5.10x
x can be rewritten as E(n)
D(x) = 5.10(E(n))
D(x) = 5.10(E(n))
D(x) = 5.10(0.72n)
D(x) = 3.672n </span>
According to this the following statement is true:
A) <span>(D x E)(n) = 5.10(0.72n)</span>
Answer:
A.) Acceleration = 4.6 m/s^2
B.) Average speed = 47 m/s
Step-by-step explanation:
A.) From the graph, at t = 10s,
Velocity V = 46 m/s
Acceleration a = (change in V)/ time t
a = (46 - 0)/10
a = 46/10 = 4.6 m/s^2
B.) If we estimate the speed at 5 seconds intervals, then we have
Average speed = (36 + 46 + 49 + 50 + 50 +50 + 50) ÷ 7
Average speed = 331/7 = 47.29 m/s
Average speed = 47 m/s
Answer:
C
Step-by-step explanation:
The equation of a line is given by
and
slope (m) is given by:
Where (x_1,y_1) are the first set of point in the line and (x_2,y_2) is the second set of point
Let's take 2 points arbitrarily. (0,0) & (25,20)
Let's plug it and find the equation:
Now
C is the correct answer.
We can use Law of Cosines to solve for the angle of Z. The solution is shown below:
cos C=(a²+b²-c²)/2ab
cos Z = (yz² + xz² - xy² )/2*yz*xz
cos Z = (20² + 25 - 13²)/2*20*25
cos Z = 856 / 1000
Z=31.13°
The answer is angle 31.13°.
(a) Predicate: 10d is an integer
The domain is
. In fact, integers are closed under multiplication, and 10 is an integer. So, if d is an integer, 10d is a multiplication between integers, and thus an integer.
(c) 
Since 1 and 4 are both squares, we have

And we deduce that x must be between 1 and 2. But since negative numbers become positive when squared, the numbers between -2 and -1 are also fine. So, the domain is
![[-2,-1]\cup [1,2]](https://tex.z-dn.net/?f=%5B-2%2C-1%5D%5Ccup%20%5B1%2C2%5D)
Predicates (b) and (d) are identical to (a) and (c)