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3 years ago

What isthe vertical line test

Mathematics

2 answers:

Irina-Kira [14]3 years ago

6 0

The vertical line test is a visual way to determine if a curve is a graph of a function or not.

A function can only have one output, y, for each unique input, x. If a vertical line intersects a curve on an xy-plane more than once then for one value of x the curve has more than one value of y, and so, the curve does not represent a function.

If all vertical lines intersect a curve at most once then the curve represents a function.

olya-2409 [2.1K]3 years ago

5 0

answer:

Its when you make lines vertically from every point and if a line hits a points under it is wrong

Step-by-step explanation:

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What is the radius of a hemisphere with a volume of 6496 (cm to the third power) to the nearest tenth of a centimeter?

professor190 [17]

Answer:

14.6cm

Step-by-step explanation:

The volume of a hemisphere is 2/3 × π × r³ → 6496 = 2/3 × π × r³. You can divide both sides by 2/3π to get r³ on its own → 3103.611531 = r³. To find r, cube root both sides → r = ∛3103.611531 = 14.5835... ≈ 14.6cm.

Hope this helps!

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3 years ago

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The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time t and has a half-life of 3.

blagie [28]

Answer:

$N(t) =N_o (\frac{1}{2})^{\frac{t}{t_{1/2}}}$

Where $t_{1/2}= 3.3 hr$ represent the half life and the intial amount would be $N_o = 1$

And we want to find the time in order to have a 95% of decay so we can set up the following equation:

$0.05 = 1 (0.5)^{t/3.3}$

If we apply natural log on both sides we got:

$ln(0.05) = \frac{t}{3.3} ln (0.5)$

And solving for t we got:

$t= 3.3 *\frac{ln(0.05)}{ln(0.5)}= 14.26$

So then would takes about 14.26 hours in order to have 95% of the lead to decay

Step-by-step explanation:

For this case we can define the variable of interest amount of Pb209 and for the half life would be given:

$N(t) =N_o (\frac{1}{2})^{\frac{t}{t_{1/2}}}$

Where $t_{1/2}= 3.3 hr$ represent the half life and the intial amount would be $N_o = 1$

And we want to find the time in order to have a 95% of decay so we can set up the following equation:

$0.05 = 1 (0.5)^{t/3.3}$

If we apply natural log on both sides we got:

$ln(0.05) = \frac{t}{3.3} ln (0.5)$

And solving for t we got:

$t= 3.3 *\frac{ln(0.05)}{ln(0.5)}= 14.26$

So then would takes about 14.26 hours in order to have 95% of the lead to decay

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3 years ago

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Gala2k [10]

Answer:

It depends on the month

Step-by-step explanation:

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4 years ago

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Anettt [7]

The categories are:-
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3 years ago

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nata0808 [166]

Answer:

Step-by-step explanation:

Range is all the set y values.

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What isthe vertical line test​

What isthe vertical line test