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Tju [1.3M]
2 years ago
14

Find the common difference of the arithmetic sequence –8, -2, 4, ...

Mathematics
1 answer:
ELEN [110]2 years ago
8 0

Answer:

<h3>               d = 6</h3>

Step-by-step explanation:

a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6

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3 years ago
The label on a can of lemonade gives the volume of 12 fl oz. or 355 mL. Verify that these two measurements are nearly equivalent
babymother [125]
The label on a can of lemonade gives the volume as 12 fl oz , or 355 ml .verify that these two measurements are nearly equivalent

5 0
3 years ago
Which graph most likely shows the experimental probability histogram of X based on 100 data points?
Archy [21]

Answer:

  see attached

Step-by-step explanation:

Based on 100 trials, we don't expect the experimental probability to deviate much from the theoretical probability. The scales on the attached graphs are hard to read, but you want to choose the graph that ...

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2 years ago
I need help ASAP middle school work.
Arturiano [62]

Answer:

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Step-by-step explanation:

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We need to find the cost per gallon.

First, converting 11  1/2 gallons to decimal, it is:

1/2 = 0.5

So, 11  1/2  is  11.5 gallons

So, Cost Per Gallon (last week) = \frac{36.80}{11.5}=3.2

There is 5% increase on this $3.20 per gallon. We find 5% of 3.2 and add it to 3.2 to find this week's cost per gallon.

<em>5% = 5/100 = 0.05</em>

<em>0.05 * 3.20 = 0.16</em>

<em>So,</em>

<em>3.20 + 0.16  = $3.36 per gallon</em>

<em />

Cost Per Gallon (this week) = $3.36

To buy 9  1/4 gallons it would take:

3.36*9.25=31.08

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It would cost $31.08  to buy  9.25 gallons this week

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5 0
3 years ago
Someone please help explain how to find x
dimaraw [331]

Answer:

x=27

Step-by-step explanation:

180-2x-40+180-3x+180-x-50+180-4x = 360

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x= 27

5 0
3 years ago
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