What is the 25th term of the arithmetic sequence where a1=8 and a9=48 ? answers to choose from. a)113. b)118. c)123. d)128

Answers

Answer 1

Answer: First we need to find "d" which is difference between any 2 successive members of the sequence. Because the sequence is arithmetic that means that the difference between any 2 successive members is same and constant.

This is the formula for any member of sequence at position "n"
An = A1 + (n-1)*d
d = (a9 - a1)/(9-1)
d = 5

Now we calculate 25th member:
a25 = a1 + (25-1)*5
a25 = 128

Answer is d)

Answer 2

Answer:

Answer:

128

Step-by-step explanation:

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The sum of a number and seven times of it is equal to the product of 25.6 and 12.5. What will be one fourth of that number?
Is -55.505 a rational number?
Which equation is quadratic in form?2(x + 5)2 + 8x + 5 + 6 = 0 x6 + 6x4 + 8 = 0 7x6 + 36x3 + 5 = 0 4x9 + 20x3 + 25 = 0
To convert from square miles to square feet,what operation will you use

Express as a trinomial.

(x−5)(x−2)

Answers

Answer:

x^2 - 7 x + 10

Step-by-step explanation:

use the foil method to multiply the terms.

Also - you can just plug these types of equations into WolframAlpha...

in this case you are looking for "expanded form"

This system has one solution. What is the y-coordinate of the solution? y = 5x - 9
y = x^2 - 3x + 7

Answers

set 5x-9 = $x^(2)$ - 3x + 7
⇒ 0 = $x^(2)$ - 8x + 16
⇒ factoring we get... 0 = (x-4)² so the x-coordinate for the solution is x = 4
To find the y-coordinate, plug x = 4 into one of the equations (you can plug it into both just to make sure you're right).
y = 5x - 9 plug in x = 4 ⇒ y = 5(4) - 9 = 20 - 9 = 11
y = $x^(2)$ - 3x + 7 plug in x = 4 ⇒ y = (4)² - 3(4) + 7 = 16 - 12 + 7 = 11
∴ The solution to the system is (4, 11) which has y-coordinate 11.

Jan.1 Jerome concocts a rumor and tells Jan 1 Jerome starts a rumor and tells Beth. On Jan 2 they tell a new person. Jan 2 four people heard the rumor. On each subsequent day, each person who has heard the rumor spreads it to a new person. How many have heard the rumor by the end of Jan 8?

Answers

Number of people who have heard it
by the end of the day:

January 1 . . . . . 2
January 2 . . . . . 4
January 3 . . . . . 8
January 4 . . . . . 16
January 5 . . . . . 32
January 6 . . . . . 64
January 7 . . . . . 128
January 8 . . . . . 256
.
.
.
February 1 . . . . . 4,294,967,296
February 2 . . . . . 8,589,934,592 <=== more than the Earth's
human population.

What set of reflections and rotations would carry rectangle ABCD onto itself?

Answers

To solve this problem you simple have to think which of the following option would carry your shape into itself. Or in simpler words which one would make it go 360 degrees around. The correct set of reflections and rotations would be:

Reflect over the y-axis, reflect over the x-axis, rotate 180°.

I hope it helps, Regards.

Answer:

Reflect over the y-axis, reflect over the x-axis, rotate 180°.

Step-by-step explanation:

I took the test

Factor using ac-method and factor completely, 25x²-30x--40 (help)

Answers

$25x^2-30x-40=\n 5(5x^2-6x-8)=\n 5(5x^2-10x+4x-8)=\n 5(5x(x-2)+4(x-2))=\n 5(5x+4)(x-2)$

Answer : $25x^2-30x-40 \n =5(5x^2-10x+4x-8) \n =5[5x(x-2)+4(x-2)] \n =5(x-2)(5x+4)$

Twenty-five students use 120 sheets of paper. Find the unit rate in sheets per student

Answers

sheets / student = 120 / 25 = 4.8 sheets per student

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A real estate agent used the mean and MAD to argue that the home prices of Pepper Hill Road were higher and less variable than those of Cinnamon Court. What is the agent’s error?He should have used the median and IQR because the data is symmetric.its b I just chose randomly He should have used the median and IQR because of the outlier.He should have compared the median and mean.He should have compared the MAD and IQR.

Please solve the math problem... I will mark you brainliest