PLEASE HELP 25 POINTS
Answers
Answer:
an= n * (n+1)
Step-by-step explanation:
2,6,12,20,.....
6-2 =4
12-6 = 6
So there is no common difference because these numbers are not the same
It cannot be an arithmetic difference
6/2 =3
12/6 =2
So there is no common ratio because these numbers are not the same
It cannot be geometric
2, 6, 12, 20,...
+4 +6 +8 +10
a1 =2
a2 =2*3
a3 = 2*6=2*2*3=3*4
a4=2*10=2*2*5=4*5
.....
a5 = 5*6 = 30
an= n * (n+1)
Related Questions
The cost C, in dollars, of building m sewing machines at Sienna’s Sewing Machines is given by the equation: C(m) = 20m^2 - 830m + 15,000(a) Find the cost of building 75 sewing machines.(b) How many sewing machines should the company manufacture to minimize the cost C?
A piece of string is 325 centimeters long. You need the string to be 1 and 1/4 (1.25) meters long. How many centimeters should you cut off?
Solve for m.m/4 - 6 = 10(SHOW YOUR WORK)
Simplify the following expression. 7- 5/8 x 7 -7/8 A. 1/14 B. 14 C. 1/49 D. 49
Answers
Answer: a) 25 mph
Explanation:
To find the average speed, we need to divide the total distance by the total time. Here, we have Susana driving a total distance of 125 miles with a time of 5 hours.
We can calculate the average speed by dividing the total distance driven by the total time driven.
125 miles / 5 hours = 25 miles/hour
This gives us answer option a, the average speed of Susana is 25 mph.
Answer:
The average speed is 25 mph
Step-by-step explanation:
We can calculate average speed by dividing the distance and the time interval:
average speed = (total distance traveled/time interval)
= (125 mi/5 hours)
= 25 mph
Her average speed is 25 mph.
a) 25 mph
$375
b.
$450
c.
$525
d.
$750
Answers
Answer:
a.$375
Step-by-step explanation:
In order to calculate this you just have to keep in mind the amount of months that they paid in advance in the payment, so they had 2 months of rent fully paid in advance, we will represent that with "x", so we have 2x as the number of months, and it doesn´t say that they are paying unequal amounts of money so we will assume that they are paying half each of everything, so the equation will look like this:
If total payment= $1050 each, that means that for the two of them it´d be $2100, now we know that they paid 2 months plus a security deposit of $600, we just have to clear the payment to discover how much does the rent a month cost:
So one month of rent costs $750, if you divide that by 2, you get that Pat´s share of rent a month is $375.
Answer:
A
Step-by-step explanation:
Answers
A table:
t: m:
0 32 g
15 16 g
30 8 g
45 4 g
60 2 g
75 1 g
In the first column is used an arithmetic sequence ( a 1 = 0, d = 15 ).
In the second column is used a geometric sequence ( a 1 = 32, r = 1/2 )
Answers
Given:
In a two digit number the tens digit is 6 more than the units digit.
If the digits are interchanged, the sum of the new and the original number is 132.
To find:
The original number.
Solution:
Let the unit digit of the original number be x. So, the tens digit is (x+6) and the value of the number is:
If we interchange the digits, then the value of new number is:
The sum of the new and the original number is 132.
Divide both sides by 22.
So, the unit digit of the original number is 3 and the tens digit is:
Therefore, the original number is 39.
Answers
Answer:
P(1,2)
Step-by-step explanation:
There are 2 points.
A(-2,4) and B(7,6)
the point P on the y=2 can also represented as P(x,2)
We can use the distance formula to find the distances AP and BP
for AP: A(-2,4) and P(x,2)
for BP: B(7,6) and P(x,2)
the total distance AP + BP will be
(plot is given below)
Our task is to find the value of x such that the above expression is small as possible. (we can find this either through plotting or differentiating)
If you plot the above equation, the minimum point of the curve will be clearly visible, and it will be at x = 1. Hence, the point P(1,2) is such that the total distance AP + BP is as small as possible.
Final answer:
The point P that makes the total distance AP + BP smallest on the line y=2 is given by the x-coordinate of the midpoint of A and B because the shortest distance is in a straight line. Therefore, the point P is (2.5, 2).
Explanation:
To find the point P on the line y = 2 that makes the total distance AP + BP the smallest, you need to recall that the shortest distance between two points is a straight line. So, ideally, we want to find a point P (x,2) that is on the same vertical line (or x-coordinate) that intersects the line AB at the midpoint.
Step 1: Find the midpoint of A and B. The midpoint M is obtained by averaging the x and y coordinates of A and B: M = ((-2+7)/2 , (4+6)/2) = (2.5, 5).
Step 2: Since line y = 2 is horizontal, the x-coordinate of our point P will stay the same with the midpoint x-coordinate. Therefore, P has coordinates (2.5, 2).
So, the point on the line y = 2 that makes the total distance AP + BP as small as possible is P (2.5, 2).
Learn more about Point here:
#SPJ3
-3x-10=32
Answers
Answer:
x = -14
Step-by-step explanation:
First, you will add 10 to both sides, to get -3x=42, so basicallly you are just simplifying it. Then, you will divide both sides by -3, so you can get x by itself, which you would then be left with x=-14. A little extra information, when you divide a positive number by a negative number it will result in a negative number, hence how I got -14. I hope this helps :)