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V125BC [204]
2 years ago
7

Problem-solving: Comparing Strategies

Mathematics
2 answers:
Nadusha1986 [10]2 years ago
8 0

Answer:

#4. 4 meters

Step-by-step explanation:

if the ceiling is 12 meters high then you stack three boxes that reach it you would do 12 ÷ 3 to get your answer

babunello [35]2 years ago
6 0
Didn’t do 1. 2 is 12. 3 is 112.5. And 4 is 2.
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Please give a step by step solution on how to solve #5. Thanks!
Zina [86]
Rate of burn(scented):1/8inch in 1/4h
=4(1/8)inch in 1h=1/2inch in 1h

Rate of burn(unscented):1/9inch in 1/3h=3(1/9)inch in 1h=1/3inch in 1h

The scented candle burns more in one hour.

1/2inch-1/3inch=1/6inch

The scented candle burns 1/6inch more per hour
7 0
3 years ago
1. You are given the 3rd and 5th term of an arithmetic sequence. Describe in words how to determine the general term.
kozerog [31]

Step-by-step explanation:

1. In an arithmetic sequence, the general term can be written as

xₙ = y + d(a-1), where xₐ represents the ath term, y is the first value, and d is the common difference.

Given the third term and the fifth term, and knowing that the difference between each term is d, we can say that the 4th term is x₃+d and the fifth term is the fourth term plus d, or (x₃+d)+d =

x₃+2d. =x₅ Given x₃ and x₅, we can subtract x₃ from both sides to get

x₅-x₃ = 2d

divide by 2 to isolate d

(x₅-x₃)/2 = d

This lets us solve for d. Given d, we can say that

x₃ = y+d(2)

subtract 2*d from both sides to isolate the y

x₃ -2*d = y

Therefore, because we know x₃ and d at this point, we can solve for y, letting us plug y and d into our original equation of

xₙ = y + d(a-1)

2.

Given the third and fifth term, with a common ratio of r, we can say that the fourth term is x₃ * r. Then, the fifth term is

x₃* r * r

= x₃*r² = x₅

divide both sides by x₃ to isolate the r²

x₅/x₃ = r²

square root both sides

√(x₅/x₃) = ±r

One thing that is important to note is that we don't know whether r is positive or negative. For example, if x₃ = 4 and x₅ = 16, regardless of whether r is equal to 2 or -2, 4*r² = 16. I will be assuming that r is positive for this question.

Given the common ratio, we can find x₆ as x₅ * r, x₇ as x₅*r², and all the way up to x₁₀ = x₅*r⁵. We don't know the general term, but can still find the tenth term of the sequence

8 0
3 years ago
Can anybody help me with this?<br><br> Use this graph of f to find the solutions to f(x) = 0.
Brums [2.3K]
Another way to say f(x) is y, so y=0 at -2 and 10. :)
6 0
3 years ago
3/2y-3+5/3z when y=6 and z=3
jarptica [38.1K]

The answer is 11 if i recall correctly.

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3 years ago
What is the answer text
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3/4 of milk: because the bigger the number the smaller the size
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