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3 years ago

Principal Watts walks 5 miles every day. How many miles does he walk in 1 year, or 365 days. write and solve an equation

2 answers:

8 0

Ok, so since she walks 5 miles a day every single day, you have to multiply 5 with 365.
5*365 = 1825
So, Principal Watts walks 1825 miles a year.

Harman [31]3 years ago

6 0

1,825 miles per year.

y = 5x

x = days

y = 5 ( 365 )

1,825 = 5x

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Identify the volume of a sphere if it has a surface area of 465 square units

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Step-by-step explanation:

S.A = 465

4πr²= 465

r². = 36.9

r. = 6.08

volume of a sphere = 4/3πr³

= 4/3π * 6.08³

= 941.8 cm³

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3 years ago

Solve x= 12x + 15.<br> Do not include extraneous solutions.

ozzi

Answer:

$x = 12x + 15 \\ 12x - x = - 15 \\ \\ 11x = - 15 \\ x = - \frac{15}{11}$

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A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5

liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

$Q(t) = Q(0)e^{rt}$

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that $Q(5730) = 0.5Q(0)$

$Q(t) = Q(0)e^{rt}$

$0.5Q(0) = Q(0)e^{5730r}$

$e^{5730r} = 0.5$

$\ln{e^{5730r}} = \ln{0.5}$

$5730r = \ln{0.5}$

$r = \frac{\ln{0.5}}{5730}$

$r = -0.00012$

$Q(t) = Q(0)e^{-0.00012t}$

How old is the fossil?

This is t for which

$Q(t) = 0.8Q(0)$

$Q(t) = Q(0)e^{-0.00012t}$

$0.8Q(0) = Q(0)e^{-0.00012t}$

$e^{-0.00012t} = 0.8$

$\ln{e^{-0.00012t}} = \ln{0.8}$

$-0.00012t = \ln{0.8}$

$t = -\frac{\ln{0.8}}{-0.00012}$

$t = 1860$

The fossil is 1860 years old.

4 0

3 years ago

Peter drove 432 Mi over a period of 6 hours while his best friend Eric drove 360 miles over 5 hours who had the faster unit righ

Darina [25.2K]

Answer:

Both Peter and Eric had the same unit rate of 72mph.

Step-by-step explanation:

Peter:

432/6 = 72

72 miles per hour

Eric:

360/5 = 72

72 miles per hour

4 0

3 years ago

Plz answer if u can :P

Sedaia [141]

Answer:

Step-by-step explanation:

sqaure root of both times each other gives 5

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3 years ago

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