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Xelga [282]
2 years ago
5

for each x-y table given,copy the table, find the pattern and fill in the missing entries. Then write the rule for the pattern i

n words.​

Mathematics
1 answer:
mash [69]2 years ago
8 0

Answer:

  see the attached for the table and rules

Step-by-step explanation:

a) A graph of the given points shows they lie on the same line, one with a slope of 3 and a y-intercept of 2. Thus the rule is ...

  y = 3x +2

see the attachment for table values

__

b) The ratios of given points are all the same: y/x = 5/2, so that is the constant of proportionality:

  y = (5/2)x

see the attachment for table values

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Write an arithmetic series for which S5 = 10.
Ludmilka [50]
S5=10 means the 5th number is 10. 
So the arithmetic sequence is s1, s2,s3, s4, 10
3 0
2 years ago
Circle E has a radius of 40 inches with = 324°. Find the exact length of
Anni [7]
Let the arc is ABC with angle 324 degree, to find the length of that arc follow the steps;
The circumference of the circle E is :C = 2 r π
C = 2 * 40 π = 80 π cm.
Also 324° / 360° = 0.9m Arc (ABC ) = 0.9 * 80 π = 72 π cm
There is also formula for calculating the measure of an arc:
m Arc = r π α / 180°
m Arc = 40 π * 324 / 180
= 40π * 1.8 = 72 π
Now we have to find the exact length ( π ≈ 3.14 ) 
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8 0
2 years ago
Read 2 more answers
Calculate the value of x to one decimal place. inches
kakasveta [241]

Use the law of cosines: c^2=a^2+b^2-2ab\cos C

We have:

c=x\\a=3in\\b=7in\\C=54^o

substitute:

\cos54^o\approx0.5878\\\\c^2=3^2+7^2-2\cdot3\cdot7\cdot0.5878\\\\c^2=9+49-24.6876\\\\c^2=33.3129\to c=\sqrt{33.3129}\\\\c\approx5.8

5 0
2 years ago
Which equation finds the volume of a cube with a side length of 2 n Superscript 6 units?
elena-14-01-66 [18.8K]

Answer:

Volume of the cube: 8n^{18}

Step-by-step explanation:

A cube is a solid figure consisting of 6 squared faces arranged in a structure at right angle with each other.

The volume of a cube is given by:

V=L^3

where

V is the volume

L is the length of one side of the cube

In this problem, the length of the side of the cube is

L=2n^6

Therefore, the volume of the cube is

V=(2n^6)^3 = 2^3 (n^6)^3 = 8n^{18}

7 0
2 years ago
Read 2 more answers
Your band is one of 8 bands competing at the battle of the bands. The order of the performances is determined at random. The fir
lorasvet [3.4K]

Answer:

1.79 %.

Step-by-step explanation:

you have to calculate the probability of a series of events before you can calculate the final probability.

The first event is that the band plays on Friday.

If there are 8 bands, but only 5 play on Friday, then the probability that they will play on Friday is

5/8

Now, the second event that they are the last ones is 1/5, since they are 5 bands.

Therefore the probability that they will play on Saturday and last is

5/8 * 1/5 = 1/8

Now, for the rival band it would be, knowing that on Friday there is already a quota assigned and one band less, the probability that they will play that day is

4/7

as they play before the other group, it would be 1/4, as there is already a quota assigned.

The final probability would then be:

4/7 * 1/4 = 1/7

Now the probability that the band gives the last performance on Friday night and your rival band performs immediately before them, is:

1/8 * 1/7 = 0.0179

That is 1.79 %.

3 0
2 years ago
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