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3 years ago

Which equation is the correct translation of the following statement?

Mathematics

1 answer:

Verizon [17]3 years ago

7 0

That is the last option

x - 5.75 = 10

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Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of

ioda

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that $A(24) = (1-0.26)A(0) = 0.74A(0)$ ; We use this to find r.

$A(t) = A(0)(1-r)^t$

$0.74A(0) = A(0)(1-r)^{24}$

$(1-r)^{24} = 0.74$

$\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}$

$1 - r = (0.74)^{\frac{1}{24}}$

$1 - r = 0.9875$

$r = 1 - 0.9875 = 0.0125$

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that $A(0) = 810$

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 810(1 - 0.26)^t$

$A(t) = 810(0.74)^t$

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

5 0

3 years ago

Sam and Bobby want to know who cycled faster. The table shows the total miles Sam traveled over time. The graph shows the same r

lorasvet [3.4K]

Sorry Man I need to see the graph

3 0

3 years ago

Please help with Letter C

Papessa [141]

Your reasoning is correct, but you made a mistake with your long division.

1248/98 = 12 remainder 72

__12_
98 | 1248
- 98
--------
268
-196
--------
72

Final Answer: 13 is minimum number of showings

6 0

3 years ago

The speed v of a gear varies inversely as the number of teeth t. If a gear that has 42 teeth makes 24 revolutions per minute (rp

fgiga [73]

<span>The speed v of a gear varies inversely as the number of teeth t

</span>
if a gear that has 42 teeth makes 24 revolutions per minute
<span> Then a gear that has 24 teeth will make 42 revolutions.

Hope it helps!
</span>

6 0

4 years ago

Found out the answer please I can't do this

xxTIMURxx [149]

Answer:

530.929158457

Step-by-step explanation:

13x13= 169 x pi= 530.929158457

6 0

3 years ago