MATHEMATICS HIGH SCHOOL

Two terms of an arithmetic sequence are a7 = 32 and a19 =140. Find a rule for the nth term.

Answers

Answer 1

Answer:

Answer:

aₙ = 9n - 31

Step-by-step explanation:

If we call the common difference as d, since 19 - 7 = 12, we can write:

32 + 12d = 140

12d = 108

d = 9 which means that a₁ = a₇ - 6d = 32 - 6 * 9 = -22.

Explicit formula for arithmetic sequence: aₙ = a₁ + (n-1)d so the answer is

aₙ = -22 + (n - 1) * 9

= -22 + 9n - 9

= 9n - 31

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Help me im having trouble on slopes

Answers

Answer:

The slope-intercept form of an equation looks like this: y=mx+b

The m stands for the slope and the b stands for the y-intercept.

We need two points from the line to write out this equation.

For example (-2,0) and (1,2)

Now that we have the slope, we can plug it into our equation: y= 2/3x + b

To get b, our y-intercept, we just need to plug in one of the points found and solve. For example (-2,0)

Now that we have both our m and b values, we can plug them in to get our equation: y=2/3x + 4/3

Step-by-step explanation:

$m= (y1-y2)/(x1-x2) = (0-2)/(-2-1)$

$m=(-2)/(-3) = (2)/(3)$

$0=(2)/(3)(-2)+b$

$0=-(4)/(3)+b\n 0+(4)/(3)=-(4)/(3)+(4)/(3)+b\n 0+(4)/(3)=b\n (0*3)/(3)+(4)/(3)=b\n (4)/(3)=b$

Round 446,221 to the nearest ten

Answers

446,221 to the nearest ten is 446,220. This is because 1 is less than 5, and it’s only when a number is more than or equal to 5 that you round up to the nearest 10.

Please help very urgent will give brainliest

Answers

Answer: x= 45 degrees

Step-by-step explanation: The angle of a square is 90 degrees and it already tell you the other side is 45 degree so 90 - 45 = 45. So that means the answer is 45 degrees.

Since the sum of all the angles of any triangle is 180 degrees, just add 90 and 45 (the answer being 135), then subtract 135 from 180 (answer is 45).

Therefore, the missing answer is 45 degrees.

Evaluate the expression 36y + 9 if y =1/6

Answers

36y + 9
=36 x 1/6+ 9
= 36/6 + 9
= 6 + 9
= 15

A factory can produce 50 refrigerators in 8 hours.How many hours would it take to produce 1250 refrigerators?

3.125 h

6.25 h

200 h

7812.5 h

Answers

1250 diuvided by 50 = 25 times 8 = 200 hours

Answer:

1250 divided by 50 = 25 times 8 = 200 hours

Kiran and his cousin work during the summer for a landscaping company. Kiran's cousin has been working for the company longer, so his pay is 30% more than Kiran's. Last week his cousin worked 27 hours, and Kiran worked 23 hours. Together, they earned $493.85. What is Karen's hourly pay ?