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Serjik [45]
3 years ago
7

Colored pencils can be purchased in the following quantities:12 pencils for 3.49,24 pencils for 5.29 or 64 colored pencils for 1

1.49.is the cost of colored pencils proportional to the number of pencils?
Mathematics
1 answer:
svetoff [14.1K]3 years ago
6 0
Yes because if you were to divide the numbers they would be pretty close to equal
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PLEASE HELP ME ASAP!!!
rjkz [21]

Answer:

d) 7^{14}

Step-by-step explanation:

we simplify (7^{7})^{2} by doing 7 x 2 = 14

so it is now

7^{14}

to check, we can use a calculator.

7 to the power of 14 = 678223072849

and

7 to the power of 7, squared also = 678223072849

Hope this helps!

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Step-by-step explanation:

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4 years ago
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Suppose that 1 kg of Sodium-24 is reduced to 0.0156 kg in 90 hours. What is the half-life, in hours, of Sodium-24?​
N76 [4]

Answer:

14.99 hours

Step-by-step explanation:

The formula for half-life is given as,

R/R' = 2ᵃ/ᵇ...................... Equation 1

Where R= Original mass of sodium-24, R' = mass of Sodium-24 after disintegration, a = Total time taken for sodium-24 to disintegrate, b = half-life of sodiun-24.

Given: R = 1 kg, R' = 0.0156 kg, a = 90 hours

Substitute into equation 1 and solve for b

1/(0.0156) = 2⁹⁰/ᵇ

Taking the log of both side

log[1/(0.0156)] = log(2⁹⁰/ᵇ)

log[1/(0.0156)] = 90/b(log2)

90/b = log[1/(0.0156)]/log2

90/b = 6.0023

b = 90/6.0023

b =  14.99 hours

b = 14.99 hours.

Hence the half-life of Sodium-24 is 14.99 hours

7 0
3 years ago
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