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Dima020 [189]
3 years ago
5

The quantity y varies directly with the square of x and inversely with z. When x is 9 and z is 27, y is 6. What is the constant

of variation?
Mathematics
2 answers:
Neporo4naja [7]3 years ago
8 0
Yvaires directly as x means
y=kx

y varies inversly with z means
y=k/z

therfor
y=(kx^2)/z
k=constant of variation

6=(k9^2)/27
6=(k81)/27
6=3k
divide both sides by 3
2=k

the constant of variation is 2
KatRina [158]3 years ago
5 0

Answer:

2

Step-by-step explanation:

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Katarina [22]
Total cost equals the yearly fee price plus $14 times number of hours.

T= total cost
n= number of hours

Equation:
T= $199 + $14n

Hope this helps! :)
6 0
3 years ago
Read 2 more answers
A crane has cable with a breaking starin of 6400k
Sliva [168]

Answer:

The minimum amount of breaking strain the crane can handle is 6350 kg. (Since it is measured to 2 sig. figs, 6349 kg would round down to 6300 kg, hence the min. is 6350 kg.)

The maximum weight of each crate would be 94 kg. (Since it is measured to the nearest 10 kg, 95 kg would round up to 100 kg, hence the max. is 94 kg.)

Therefore, the greatest number of crates that can be safely lifted would be (6350/94) crates which is 67.5 crates, which rounded down is 67 crates.

All numbers are taken as integers in this answer.

Step-by-step explanation:

Hope this helped!

4 0
3 years ago
Heeeeelp pleaseeeee <br> A=1/2ap solve for p
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6 0
4 years ago
What is the inverse of the statement “If there is an open chair, then I will sit down”?
WARRIOR [948]
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6 0
3 years ago
PLEASE HELP ME!!! 5 POINTS!!!
lakkis [162]

Answer:

D. 1.38

Step-by-step explanation:

To compare numbers, start with the left side.

You are comparing these numbers with 1.32:

A.1.02

B.1.23

C.1.31

D.1.38

Start with the leftmost digit, the 1. All numbers start with 1, so up to the units place, they are all the same. See below.

1.32

A. 1.02

B. 1.23

C. 1.31

D. 1.38

Now compare the next digit which is the tenths place.

1.32

A. 1.02

B. 1.23

C. 1.31

D. 1.38

Above, the number 1.32 has a 3 in the tenths place. 3 is greater than 0 and than 2, so options A and B are less than 1.32 and are eliminated.

1.32

C. 1.31

D. 1.38

Now we compare the digits in the hundredths place shown just above. 2 is greater than 1, but it is less than 8, so we eliminate option C.

Answer: D. 1.38

7 0
4 years ago
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