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3 years ago

Consider the following

Mathematics

1 answer:

scoray [572]3 years ago

8 0

Answer:

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What is the volume of a hemisphere with a diameter of 6.1 cm, rounded to the nearest tenth of a cubic centimeter?

Vladimir [108]

Answer:

The volume of hemisphere is V = 59.4 $cm^{3}$

Step-by-step explanation:

Diameter of hemisphere = 6.1 cm

Radius of hemisphere = 3.05 cm

We know that volume of hemisphere is given by

$V = \frac{2}{3} \pi r^{3}$

$V = \frac{2}{3} \pi (3.05)^{3}$

V = 59.4 $cm^{3}$

Therefore the volume of hemisphere is V = 59.4 $cm^{3}$

8 0

3 years ago

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Jen buys 4 tires for $272.<br><br>What is the cost of 1 tire?

RSB [31]

Divide the total cost by 4:

272 / 4 = 68

It cost $68 for 1 tire

5 0

4 years ago

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An old bone contains 80% of its original carbon-14. Use the half-life model to find the age of the bone. Find an equation equiva

Ira Lisetskai [31]

Answer:

An old bone contains 80% of its original carbon-14 in 1844.6479 years

Step-by-step explanation:

We know that

half life time of C-14 is 5730 years

so, h=5730

now, we can use formula

$P(t)=P_0(\frac{1}{2})^{\frac{t}{h} }$

we can plug back h

and we get

$P(t)=P_0(\frac{1}{2})^{\frac{t}{5730} }$

An old bone contains 80% of its original carbon-14

so,

P(t)=0.80Po

we can plug it and then we solve for t

$0.80P_0=P_0(\frac{1}{2})^{\frac{t}{5730} }$

$0.80=(\frac{1}{2})^{\frac{t}{5730} }$

$\ln \left(0.8\right)=\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{5730}}\right)$

$t=-\frac{5730\ln \left(0.8\right)}{\ln \left(2\right)}$

$t=1844.6479$

So,

An old bone contains 80% of its original carbon-14 in 1844.6479 years

4 0

3 years ago

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I need help with #2

andrew-mc [135]

Answer:

28 < x < 114

Step-by-step explanation:

x cannot be larger than or even equal to 71 + 43 = 114. So it must be less than 114.
But there are limits on the other end as well. 43 +x > 71, otherwise you won't have a triangle. so you have to solve that inequality as well
43 + x > 71 Subtract 43 from both sides.
43-43 + x > 71 - 43
x > 28
To put this in the form of the answer you need it looks like this.
28 < x < 114

5 0

4 years ago

PLEASE HELP ME YALL i’m not bout to fail this test bruh

soldier1979 [14.2K]

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5 0

3 years ago

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