Using the Fundamental Counting Theorem, we have that:
4. 1,757,600 different license plates can be there.
5. 676,000,000 different driver's license numbers can be formed.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with 
ways to be done, each thing independent of the other, the number of ways they can be done is:
For the letters there are 26 outcomes and for the digits there are 10 outcomes, hence the parameters for item 4 are given as follows:
Hence the number of license plates is given by:
N = 26 x 26 x 10 x 10 x 26 = 1,757,600.
For item 5, the parameters are:
Hence the number of license numbers is:
26 x 26 x 10 x 10 x 10 x 10 x 10 x 10 = 676,000,000
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
#SPJ1
18 people x 18 walls = 324 minutes
Answer:
B
Step-by-step explanation:
Here, we simply want to know who will reach the 6-foot mark sooner
Mathematically, we need to get the slope from the graph
Looking at the graph, we can see that the 3 ft mark was reached at exactly 2 seconds
So what this mean is that, in 4 seconds, the 6 ft mark will be reached
This makes up the fact that the speed for Pete’s travel is 1.5 ft/ secs
Now compare this with what Stephano has, which is 2.25 ft/ s
we can see that stephano is traveling at a better speed and will reach the 6 ft mark first
So the correct option is B
Answer: P(t) = 1.25.sin(
.t) + 5.65
Step-by-step explanation: A motion repeating itself in a fixed time period is a periodic motion and can be modeled by the functions:
y = A.sin(B.t - C) + D or y = Acos(B.t - C) + D
where:
A is amplitude A=|A|
B is related to the period by: T = 
C is the phase shift or horizontal shift: 
D is the vertical shift
In this question, the motion of Pluto is modeled by a sine function and doesn't have phase shift, C = 0.
<u>Amplitude</u>:
a = 
At t=0, Pluto is the farthest from the sun, a distance 6.9 billions km away. At t=66, it is closest to the star, P(66) = 4.4 billions km. Then:
a = 
a = 1.25
<u>b</u>
A time period for Pluto is T=66 years:
66 = 
b = 
<u>Vertical</u> <u>Shift</u>
It can be calculated as:
d = 
d = 
d = 5.65
Knowing a, b and d, substitute in the equivalent positions and find P(t).
P(t) = a.sin(b.t) + d
P(t) = 1.25.sin(.t) + 5.65
The Pluto's distance from the sun as a function of time is
P(t) = 1.25.sin(.t) + 5.65
Answer:
Step-by-step explanation:
Circum center of a right isosceles triangle is located on the midpoint of the hypotenuse.
Circumcenter of a triangle is point where the perpendicular bisectors of the sides of triangles intersect. Keeping this as a center, you can draw a circle & all the three vertices of the triangle lies on the circumference of the circle. Circumcenter is equal distance from the vertices of the triangle.
For acute triangle, circumcencenter will be inside the triangle.
For obtuse triangle, circumcenter will be outised the triangle.
