Find the sum of a finite arithmetic sequence from n = 1 to n = 13, using the expression 3n + 3.

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Answer 1

Answer: the answer is lettter D the last option which is 312

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(square root of 6+the square root of 11)/(square root of 5+square root of 3) =

Pls help these are my teachers instructionsI decided to do the first problem on the test for you! Get out your red pen! I made a mistake What did I do wrong? Explain my mistake and fix it!

Answers

Answer:

The x^6 should be on the bottom because when you attempt to bring x^12 on top, you are essentially doing the equation x^6-x^12 which would equal x^-6 and if you have x^-6, you must bring it down to the denominator so the final answer for question 1 is 27/4x^6y^8

Step-by-step explanation:

Hank estimated width of the door to his classroom in feet. what is a reasonable estimate?

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The measurements of an average door are 80 inches by 36 inches. In this measurement, the length is 80 inches and the width is 36 inches. If Hank estimates the width of the door of his classroom, he will then most likely estimate it at 36 inches. To convert this into feet, you must know that 12 inches make 1 foot. So, 36 inches divided by 12 inches will convert the measurement to feet: 36/12 = 3. Thus, the answer is 3 feet.

Which does not show a direct variation between x and y?  A.y = x/9  B.y = 2x  C.y = 0.5x  D.y = 9/x

If f(x) varies directly with x, and f(x) = 8 when x = 6, write the direct linear variation equation.
A. f(x) = 3/4x  B.f(x) = 6x  C.f(x) = 8x  D.f(x) = 4/3x

Find the constant of variation for the relationship f(x)= 30x.  A.10  B.30  C.x  D.f(x)

If f(x) varies directly with x, and f(x) = 56 when x = 8, find the value of f(x) when x = 2  A.4  B.7  C.8  D.14

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$(1)\ndirect\ variation\ between\ x\ and\ y:\ \ \ y=k\cdot x\ \ \ and\ \ \ k\in\ R\n\nAns.\ NOT\ direct\ is\ D\n\n(2)\nf(x) = m\cdot x\ \ \ and\ \ \ f(6)=8\n\n \Rightarrow\ \ \ m\cdot 6=8\ \ \ \Rightarrow\ \ \ m= (8)/(6) = (4)/(3) \ \ \ \ \Rightarrow\ \ \ \ Ans.\ D\n\n(3)\nf(x)=30x\ \ \ \Leftrightarrow\ \ \ (f(x))/(x) =30\ \ \ \ \ \ \Rightarrow\ \ \ \ constans=30\ \ \ \ Ans.\ B.$

$\n\n(4)\nf(x)=m\cdot x\ \ and\ \ f(8)=56\n\nm\cdot8=56\ \ \Leftrightarrow\ \ m= (56)/(8) =7\ \ \Rightarrow\ \ \ f(x)=7x\ \ \ \Rightarrow\ \ \ f(2)=7\cdot2=14\n\nAns.\ D.$

Grace walked 32 miles last month. So far this month she has walked 5 eighths as far as last month. How far has grace walked this month

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You would divide 32 by 8. 32÷8=4 Then multiply 4 by 5. 4×5=20 So Grace has walked 20 miles this month.

Grace has walked 20 miles

Margot could pickle 500 cucumbers in 2 hours. She got tired and reduced her rate by one half. How long would it take her to pickle 2000 cucumbers at the new rate?

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Margot could pickle 500 cucumbers in 2 hours.
She got tired and reduced her rate by one half.
=> 250 cucumber in 2 hours
Let's solve how long would it take her to pickle 2000 cucumbers at thenew rate.
=> 2000 / 250 = 8 times 2 hours
=> it will take her 16 hours to do so.

Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one bacteria which can double every hour, how many bacteria will we have by the end of the day? Show your work