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3 years ago

(Photo) Please help me!Find the volume of the cone shown below.

Mathematics

1 answer:

givi [52]3 years ago

3 0

You would use the volume of a cone formula ((1/3)(pi)(r^2)h) so it would be (1/3)(pi)(7^2)(24). That simplified to 392(pi) units^3. So the answer is c

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(1 point) Carbon dating is often used to determine the age of a fossil. For example, a humanoid skull was found in a cave in Sou

Aleksandr [31]

Answer:

The estimated age of the skull is 39118 years.

Step-by-step explanation:

The amount of the substance after t years is given by:

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

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

The half-life of carbon-14 is about 5600 years.

This means that $A(5600) = 0.5A(0)$ . We use this to find r, or 1 - r, to replace in the equation. So

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

$0.5A(0) = A(0)(1-r)^{5600}$

$(1-r)^{5600} = 0.5$

$\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}$

$1 - r = (0.5)^{\frac{1}{5600}}$

$1 - r = 0.9999$

$A(t) = A(0)(0.9999)^t$

Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.

This is t for which $A(t) = 0.02A(0)$ . So

$A(t) = A(0)(0.9999)^t$

$0.02A(0) = A(0)(0.9999)^t$

$(0.9999)^t = 0.02$

$\log{(0.9999)^t} = \log{0.02}$

$t\log{0.9999} = \log{0.02}$

$t = \frac{\log{0.02}}{\log{0.9999}}$

$t = 39118$

The estimated age of the skull is 39118 years.

6 0

3 years ago

If 390 words were typed in 6 min how many words were typed in 10 min

umka21 [38]

390/6=65
65x10+650
650 is your answer
hope this helps

3 0

3 years ago

Read 2 more answers

Which region did the Visigoths most likely settle?

Naddika [18.5K]

Answer:

It was Romania, so Spain.

6 0

3 years ago

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Solve for r. −88=11(r−6) Enter your answer in the box. Please help

miv72 [106K]

Answer:

r = -2

Step-by-step explanation:

−88=11(r−6)

-88 = 11r -66

11r =-88+66

11r = -22

r = -2

4 0

3 years ago

Find the solution set.3x^2-5x=2 separate the two values with a comma.

julsineya [31]

Answer:

x = -1/3, 2

Step-by-step explanation:

Step 1: Isolate everything to 1 side

3x² - 5x - 2 = 0

Step 2: Factor

(3x + 1)(x - 2) = 0

Step 3: Find roots

3x + 1 = 0

3x = -1

x = -1/3

x - 2 = 0

x = 2

4 0

3 years ago

Read 2 more answers