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Mathematics

1 answer:

murzikaleks [220]2 years ago

4 0

Answer: m=-3

Explanation: When a line is parallel to another, they both have the same slope.

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Find the volume of the given prism. Round to the nearest tenth if necessary.

alex41 [277]

Answer:

17m³

Step-by-step explanation:

==>Given:

Prism with right triangular base with the following dimensions:

Height = 17m

Base area = area of the right triangle = ½×2×1 = 1m²

==>Required:

Volume of prism

==>Solution:

Volume of prism = Base area × height of prism

Volume of prism = 1m² × 17m

Volume = 17m³

3 0

2 years ago

Dinosaur fossils are often dated by using an element other than carbon, like potassium-40, that has a longer half life (in this

Firlakuza [10]

The amount of substance left of a radioactive element of half life, $t_{\frac{1}{2}}$ after a time, t, is given by:

$N(t)=N_0\left( \frac{1}{2} \right)^ \frac{t}{t_{ \frac{1}{2} }}$

Given that <span>potassium-40 has a half life of approximately 1.25 billion years.

The number of years it will take for 0.1% of potassium-40 to remain is obtained as follows:

$0.1=100\left( \frac{1}{2} \right)^ \frac{t}{1.25}} \\ \\ \Rightarrow\left( \frac{1}{2} \right)^ \frac{t}{1.25}}=0.001 \\ \\ \Rightarrow\frac{t}{1.25}\ln\left( \frac{1}{2} \right)=\ln(0.001) \\ \\ \Rightarrow \frac{t}{1.25}= \frac{\ln(0.001)}{\ln\left( \frac{1}{2} \right)} =9.966 \\ \\ t=9.966(1.25)=12.5$

Therefore, </span><span>the maximum age of a fossil that we could date using 40k is 12.5 billion years.</span>

3 0

2 years ago

Help please I need help :/

TEA [102]

Answer:

Step-by-step explanation:

You cant find the square root of ten. It is a decimal that keeps on repeating. Therefore, it is irrational.

5 0

2 years ago

Read 2 more answers

Not sure, please help!

Blizzard [7]