Which of these equations has a negative sloping line?*

Mathematics

2 answers:

Art [367]3 years ago

6 0

Answer:

y=-2/3x +8

Step-by-step explanation:

the coefficient of x determines the slope of the line so negative coefficient, negative slope line

Strike441 [17]3 years ago

3 0

Answer:

Option 1.

Step-by-step explanation:

That option is the only one with a negative x coefficient, which is the slope.

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4 years ago

Read 2 more answers

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

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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 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, the maximum age of a fossil that we could date using 40k is 12.5 billion years.

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3 years ago

The area of a right triangle is given by the expression:

lorasvet [3.4K]

The expression that models the length of the second leg of the triangle is 2x - 3.

Recall:

The area of a triangle = $\frac{1}{2} bh$