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serg [7]
2 years ago
10

Lucia knows the fourth term in a sequence is 55 and the ninth term in the same sequence is 90. Explain how she can find the comm

on difference for the sequence. then use the common difference to find the second term of the sequence.
Mathematics
1 answer:
Andreyy892 years ago
4 0
Using the formula for the nth term of an arithmetic progression.
an = a + (n - 1)d
a(4) = a + 3d = 55
a(9) = a + 8d = 90
a(9) - a(4) => 5d = 35
d = 35/5 = 7.
From a(4): a = 55 - 3d = 55 - 3(7) = 55 - 21 = 34

a(2) = a + d = 34 + 7 = 41.

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Tyler had $65.40 in his checking account. Then he wrote checks on the account for $20.38, $11.48, and $19.50. What is the balanc
andrew-mc [135]

money going out (20.38+11.48+19.50) =51.36

balance - out = new balance

65.40-51.36 =

14.04

new balance =  14.04

4 0
2 years ago
Two angles of a triangle measure 59° and 63°. If the longest side measures 28 centimeters, find the length of the shortest side.
Dmitrij [34]
Angles in a triangle ALWAYS equal 180 degrees, so 180-59-63= final angle (58 degrees) Then just use (Tan,Cos,Sin) with the angles to find the lengths, i can’t answer it as i don’t know what the triangle looks like
3 0
2 years ago
Kali left school and traveled toward her friend’s house at an average speed of 40
ioda
Matt needs to travel 3 hours. 
If 40km=1 hour
   400km=? But there are two distances
200/40*1=5 hours
Therefore Kali needs to travel 5 hours to be 200 km away from the house.
If 50km=1 hour
200km=?
200/50*1hr=4hrs Therefore Matt needs to travel 4hrs to be 200 km away from the house. But Kali traveled 1hr earlier than Matt. 4hrs-1hr=3hrs
Therefore Matt has to travel for 3 hours to be 400km away from Kali.
3 0
2 years ago
Consider the table showing the given, predicted and residual values for a data set. A 4-column table with 4 rows. The first colu
Alecsey [184]

Answer:

Step-by-step explanation: I believe the answer would be (4, 0.1).

When plotting a residual, use the x-value, in this case 4, and the residual value as the y. (4, 0.1) The 4 is the x value, and the 0.1 replaces the y value. In the table the column headers will show you what the x, y, and residuals are. Just disregard the y-value and "predicted" and "given" columns, they are not needed when plotting the residual. I really hope this helps, and I hope I explained it well!

5 0
2 years ago
Read 2 more answers
Margaret took a trip to Italy. She had to convert US dollars to euros to pay for her expenses there. At the time she was traveli
creativ13 [48]
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>
8 0
2 years ago
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