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Anni [7]
2 years ago
5

Angie babysits to earn extra spending money. She recorded how much money she earned

Mathematics
1 answer:
il63 [147K]2 years ago
7 0

Answer: $50

Step-by-step explanation:

Given

Money earned each time is given as

10, 20, 30, 40, 50, 60

The range is given by the difference of the highest and lowest value of the given data

Highest value=60

lowest value=10

\Rightarrow \text{Range=60-10}\\\Rightarrow \text{Range=}\$50

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A fossilized leaf contains 18% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as
Sati [7]

Answer: The age of the fossilized leaf is 13829 years.

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

t=\frac{2.303}{k}\log\frac{a}{a-x}

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant = 100

a - x = amount left after decay process = \frac{18}{100}\times 100=18  

a) for completion of half life:  

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

t_{\frac{1}{2}}=\frac{0.693}{k}

k=\frac{0.693}{5600years}=0.00012years^{-1}

b) for finding the age

t=\frac{2.303}{0.00012}\log\frac{100}{18}  

t=13829years

The age of the fossilized leaf is 13829 years.

7 0
3 years ago
Someone please help with the function
schepotkina [342]
The answer is 2.

This is because the line crosses the x axis in 2 different places.

Hope this helps!
4 0
3 years ago
if a turtle can move 1/7 of a mile every hour, then how many hours would it take for a turtle to go 5 miles?
Lyrx [107]

Answer:

35 hours

Step-by-step explanation:

1 mile would be 7 hours- 7x5=35

6 0
2 years ago
A 2?-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles.
navik [9.2K]

Answer: A wheel on the outer rail travel 12.57 ft more than a wheel on the inner rail of the track.

Step-by-step explanation:

Since we have given that

Radius of inner circle = 57 ft

As we know the formula for "Circumference of circle":

Distance=Circumference=2\pi r\\\\Distance=2\times \frac{22}{7}\times 57\\\\Distance=358.28\ Ft

Since we have also mentioned that there is 2 feet wide circular track for a camera dolly.

So, Radius of outer circle will be given as

57+2\\=59\ ft

So, Distance = Circumference is given by

Distance=2\pi R\\\\Distance=2\times \frac{22}{7}\times 59\\\\Distance=370.85\ ft

Hence, Difference between the outer rail travel than a wheel on the inner rail travel is given by

370.85-358.28\\\\=12.57\ ft

Therefore, A wheel on the outer rail travel 12.57 ft more than a wheel on the inner rail of the track.

7 0
3 years ago
If AC = 62 cm, find BC.
skad [1K]

Hi,

Answer:

48 cm

Step-by-step explanation:

14 + x = 62

62 - 14 = 48

x = 48 cm

Have a good one!

8 0
3 years ago
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