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dusya [7]
3 years ago
12

Will give 25 points and brainliest answer if correct

Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0
Let d be the common difference between terms in the sequence \{a_n\}_{n\ge1}. Then

a_{19}=-58
a_{20}=a_{19}+d
a_{21}=a_{19}+2d
\implies-164=-58+2d\implies d=-53

The first term in the sequence, a_1, satisfies

a_2=a_1+d
a_3=a_1+2d
a_4=a_1+3d
...
a_{19}=a_1+18d
\implies-58=a_1+18(-53)\implies a_1=896

So the explicit formula for the n-th term in the sequence is

a_n=a_1+(n-1)d\implies a_n=896-53(n-1)
You might be interested in
when asked to write a point slope equation for a line passing through the points (-3,-5) and (2,4) a student wrote y-4=-9/5(x-2)
Eduardwww [97]
(-3,-5)(2,4)
slope(m) = (4 - (-5) / (2 - (-3) = (4 + 5) / (2 + 3) = 9/5

y - y1 = m(x - x1)
slope(m) = 9/5
(2,4)...x1 = 2 and y1 = 4
sub
y - 4 = 9/5(x - 1)....this is the correct answer

the student figured the slope wrong....it is 9/5...not -9/5
5 0
3 years ago
This glass is 5 in tall and 2.5 inches
Finger [1]

The cubic inches left is 20.05 cubic inches.

<h3 /><h3>Description of the glass </h3>

A glass has the shape of a cylinder. In order to determine which glass is left, the volume of the glass has to be determined. Then what is drank would be subtracted from the volume of the glass.

<h3>Volume of the cylinder. </h3>

Volume of a cylinder = nr^2h

  • n = 22/7
  • r = radius= 2.5 / 2 = 1.25

22/7 x 1.25^2 x 5 = 24.55 cubic inches

<h3>Determination of what is left </h3>

24.55 - 4.5 = 20.05 cubic inches

To learn more about to determine the volume of a cylinder, check: brainly.com/question/9624219

7 0
2 years ago
I need help guys.<br>Solve for x<br>y = x-v/b ​
Charra [1.4K]

Answer: I hope this is what you are looking for

Step-by-step explanation:

so the answer is

x=y +v/b

8 0
3 years ago
1/2 to the power of 5 equals
svp [43]

Answer:

1/32

Step-by-step explanation:

This could be written as 1/2^5\\

1/2 x 1/2 x 1/2 x 1/2 x 1/2

= 1/32, or 0.03125.

3 0
3 years ago
How many points are collinear with points Cand D?
asambeis [7]

Answer: B) one

This one point is point U since it is on line segment CD. In contrast, a point like point E is not on line CD, so E is not collinear with C and D.

3 0
3 years ago
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