Answer:
a(n) = -3 - 2(n-1)
Step-by-step explanation:
The most general formula for the nth term of an arithmetic sequence (such as this sequence is) is
a(n) = a(1) + c(n-1), where c is the common difference.
Here a(1) = -3 and c = -2.
Thus,
a(n) = -3 - 2(n-1).
In the polygon ABCD, the production of point A' and point D' is (-2,-2) and (4,-2) respectively.
<h3>What is the transformation rule?</h3>
In coordinate planes, the rule of transformation involves interchanging the x and y values on the plane such that:
where;
From the given information:
- The scale factor = 2
- the origin as a center of dilation for image vertices = (0, 0)
Now, using the coordinate vertices:
The corresponding coordinate of the image vertices is as follows:
A(-1,-1) → A'(2 × (-1), 2 × (-1))
A' = (-2,-2)
D(2,-1) → A'(2 × (2), 2 × (-1))
D' = (4,-2)
Learn more about the transformation rule in coordinate planes here:
brainly.com/question/4251601
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Answer: 40
Step-by-step explanation: first make the ratio into a fraction, 2/3
then make 24 into a fraction with the numerator as a variable and the denominator as 24, x/24
then cross multiply 2 and 24.
2x24=48
then divide 48 by 3, 16.
last add the number of lollipops to 16 and the answer is 40.
Answer:
$396
Step-by-step explanation:
Alayna's hourly rate (or pay per hour) is $9.
She worked 44 hours in total last week. To solve, multiply 44 with 9
44 x 9 = $396
Alayna's gross pay for last week was $396.
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The first thing any good mathematician does is convert the measurements to the same unit as what the question is asking. In this problem, it states that the pool fills at a rate of 20 cubic meters per hour. Just keep in mind that an hour is 60 minutes.
The next step is to see how many cubic meters will cost $300. This can be done by dividing 300 by 10. This gets you 30 cubic meters of water.
You already know that 60 minutes is 20 cubic meters of water. That leaves the remaining 10 cubic meters of water. By dividing the rate given, you get that 30 minutes is 10 cubic meters of water. Add the 60 and 30 together to get 90 minutes.
It will take 90 minutes for the pump to use $300.
