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aliya0001 [1]
3 years ago
7

What is the general term equation, an, for the arithmetic sequence 5, 1, −3, −7, . . . , and what is the 21st term of this seque

nce?
Hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference.

an = 17 − 4n, a21 = −67
an = 17 + 4n, a21 = 101
an = 13 − 4n, a21 = −71
an = 9 − 4n, a21 = −75
Mathematics
1 answer:
coldgirl [10]3 years ago
8 0
The common difference, d, can be determined by subtracting the two consecutive values:

1 - 5 = -4
-3 - 1 = -4
-7 - -3 = -4

Then, using the equation:

an = a1+ d(n-1)
a_21 = 5 + (-4)(21 - 1)
a_21 = -75

The answer is letter D. I hope I was able to help you. Have a good day!
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In a highway building project, 32 miles of a new highway have been
pychu [463]

Answer: 105 miles

Step-by-step explanation:

You can write an equation for this problem and solve it.

32 miles=1/3x-3, where x is equal to the total length of the highway.

35=1/3x, and then you multiply by 3, to get x=105

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3 years ago
A roller coaster can accommodate 18 riders in 8 minutes. Complete the table with equivalent ratios.
12345 [234]

Answer:

36 riders in 16 minutes, 54 riders in 24 minutes, and 72 riders in 32 minutes.

Step-by-step explanation:

The roller coaster can accommodate 9 riders every 4 minutes. 36 riders in 16 minutes, 54 riders in 24 minutes, and 72 riders in 32 minutes all follow the common ratio.

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3 years ago
Suppose that a bored student wants to go to a restaurant for lunch, but she only has an hour in which to go, eat, and get back i
Blababa [14]

Missing information

Take local speed ad 30 mph and express your answer in miles

Answer:

7.5 miles

Step-by-step explanation:

Time for lunch is 1 hour but once will wait for 30 minutes before served and eat.

Out of 1 hour, 30 mins is for service and eating to mean time to get from work to restaurant, to and fro is the other 30 mins

Since 30 mins is for to and fro, then one way direction takes 15 mins.

Speed, s=d/t and distance d=speed*time

Given local speed of 30 mph and time as 15 mins,

To convert minutes to hours, we divide it by 60 hence the distance is

30*15/60=7.5 miles

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4 0
3 years ago
Select two points that the line would go through. Practice graphing it on a piece of paper in front of you.
Aloiza [94]

Answer:

(2, -2) and (1,-3)

Step-by-step explanation:

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m= -3/-3= 1

The line equation is:

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After you have the equation, you can try to test the point individually to find if any of them fit the equation. You can also draw a line on the graph and see if any point touches the graph.

Red dot is the two point we have, red line is straight line that made from both point, and blue point is the option. As you can see on the graph, the points that touch the line will be (2, -2) and (1,-3)

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