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3 years ago

Use the vertical line test to determine if the graph represents a function. Explain.

Mathematics

2 answers:

tatuchka [14]3 years ago

6 0

Answer:

Is it possible to pass a single vertical line through more than one point on the horizontal line?The answer to this question is: No it is not possibleSince we cannot have a vertical line cross through more than one point, this graph passes the vertical line test making it a function. Any input (x) leads to exactly one output (y)

Step-by-step explanation:

nadezda [96]3 years ago

5 0

Ask yourself this: Is it possible to pass a single vertical line through more than one point on the horizontal line?

The answer to this question is: No it is not possible

Since we cannot have a vertical line cross through more than one point, this graph passes the vertical line test making it a function. Any input (x) leads to exactly one output (y)

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You have 480 grams of a radioactive kind of samarium. If its half-life is 90 years,

lisov135 [29]

Answer:

120 grams will be left after 180 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

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

where,

$N(t)$ = quantity of the substance remaining

$N_0$ = initial quantity of the substance

$t$ = time elapsed

$t_{1/2}$ = half life of the substance

From the information given we know that:

The initial quantity is 480 g,
The half-life is 90 years,
180 years is the time elapsed.

And we want to find how much will be left. For this we use the above formula.

$N(t)=480\left(\frac{1}{2}\right)^{\frac{180}{90}}\\\\N(t)=480\left(\frac{1}{2}\right)^2\\\\N(t)=480\cdot \frac{1}{2^2}=120$

120 grams will be left after 180 years.

3 0

2 years ago

Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence i

Pavlova-9 [17]

Answer:

$\bar X = \frac{Lower +Upper}{2}$

$\bar X= \frac{1.9+3.3}{2}= 2.6$

And the margin of error with this one:

$\bar X = \frac{Upper-Lower}{2}$

$ME = \frac{3.3-1.9}{2}= 0.7$

Step-by-step explanation:

Assuming that the parameter of interest is the sample mean $\mu$ . And we can estimate this parameter with a confidence interval given by this formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (1.9, 3.3)

Since the confidence interval is symmetrical we can estimate the sample mean with this formula:

$\bar X = \frac{Lower +Upper}{2}$

$\bar X= \frac{1.9+3.3}{2}= 2.6$

And the margin of error with this one:

$\bar X = \frac{Upper-Lower}{2}$

$ME = \frac{3.3-1.9}{2}= 0.7$

7 0

2 years ago

If Hillary spent a total of 4 hours and 35 minutes studying for her Final, how much time, in minutes, did Claudio spend studying

Maru [420]

Hillary spent a total of 275 minutes studying for his Final.

What is unit conversion ?

When a unit conversion is performed, the same property is expressed in a different unit of measurement.

Here it is given that :

Hillary spent a total of 4 hours and 35 minutes studying for her Final

We known that :

1 hours equals 60 minutes

then,

4 hours and 35 minutes will be equals to = 4x60 + 35

= 240 + 35

= 275 minutes

Therefore, Hillary spent a total of 275 minutes studying for his Final.

Learn more on conversion of units here;

brainly.com/question/340715

#SPJ1

6 0

7 months ago

Use the distributive property to rewrite the expression and solve.<br><br> 8 63 = 8 + 8 3 =

Mariana [72]

8 * 63 = 8 * ? + 8 * 3 = ?

Okay, so we have 8 * 63, and it is broken down to 8 * ? + 8 * 3.

63 - 3 = 60, so our number should be 60.

8 * 63 = 8 * 60 + 8 * 3 = ?

To find the last number, we can just multiply 8 * 63, which is 504.

8 * 63 = 8 * 60 + 8 * 3 = 504

6 0

2 years ago

Jethro walked at an average speed of 3 miles per hour for 2 hours. Randy walked at an average of 4 miles per hour for 3 hours.

navik [9.2K]

The answer is C multiply 3x2 and multiply 4x3 then add hope that helps

3 0

2 years ago