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ludmilkaskok [199]
3 years ago
14

What is the 13th term of this arithmetic sequence? 132, 135, 138, 141, …

Mathematics
1 answer:
Marrrta [24]3 years ago
6 0
The rule for this sequence is n + 3. 132 --> 135 is +3, 135 --> 138 is +3, and 138 --> 141 is +3. Let's use this rule until we find the 13th term. 132 (1) 135(2) 138(3) 141(4) 144(5) 147(6) 150(7) 153(8) 156(9) 159(10) 162(11) 165(12) 168(13) 168 is the 13th term in this sequence. I hope this helps!
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3 years ago
Ben is taking three AP classes and two regular classes. His AP classes count twice as much as his regular classes in his GPA. Ea
zhannawk [14.2K]
This problem deals with a weighted average. Since the AP classes count twice as much as regular classes, their grades must be counted twice. It's as if for each AP class he's taking, he was taking two classes. The points of each AP class grade is added twice, and the each AP class counts as 2 classes in the number of classes.

Each AP class counts twice and counts as 2 classes.

Class                                Ben's grade     Points          Number of Classes
AP English                               B               3 + 3                         2
AP Government                       B               3 + 3                         2
AP Algebra II                           A                4 + 4                         2
Spanish                                   B                   3                            1
Physics                                    D                  1                            1
TOTALS                                                       24                           8

GPA = (total points)/(number of classes) = 24/8 = 3

<span>Answer: B 3.0</span>
7 0
3 years ago
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Savatey [412]
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8 0
3 years ago
Which of the following represents the distance
Lunna [17]

Answer:

D.  d = sqrt( ( x2-x1)^2 + (y2-y1)^2)

C.   d = sqrt( ( x1-x2)^2 + (y1-y2)^2)

B.  d = sqrt( (|x2-x1|^2 + |y2-y1|^2)

Step-by-step explanation:

Given two points (x1, y1) and (x2,y2)  we can find the distance using

d = sqrt( ( x2-x1)^2 + (y2-y1)^2)

The order of the terms inside the square doesn't matter

d = sqrt( ( x1-x2)^2 + (y1-y2)^2)

When we are squaring are term, we can take the absolute value before we square and it does not change the value

d = sqrt( (|x2-x1|^2 + |y2-y1|^2)

3 0
3 years ago
Find the measure of a central angle that intercepts an arc of 81.5 cm in a circle whose radius is 16.3 cm.
Paul [167]

Answer:

5 rad

Step-by-step explanation:

Recall that the length of an arc of circumference is given by the formula:

Arc\,Length=\theta\,*\,radius, where \theta is the subtended angle [in radians] from the circumference's center.

Therefore in this case, you know the arc length (81.5 cm), and the radius (16.3 cm), and can solve for the angle \theta using the above equation as shown below:

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6 0
4 years ago
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