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3 years ago

In the notation "s(x) = ...," what does "s(x)" represent?

Mathematics

2 answers:

Neporo4naja [7]3 years ago

6 0

Option 3. The value of s (x) depends on the value of x, since s is a function of x

ser-zykov [4K]3 years ago

6 0

For this case, the first thing you should know is that in the given expression we have the following:
s: represents a function whose value we want to know.
x: represents a term (numerical value) that we must use to know the function s.
Therefore, s depends on x.
We have then:
The value of s (x) depends on the value of x, since s is a function of x.
Answer:
The value of s (x) depends on the value of x, since s is a function of x.

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Question 3 (5 points)

Vedmedyk [2.9K]

A quadrilateral that has all congruent sides and all right angles is known as a square.

Given is a quadrilateral with all right angles and congruent sides.

<h3>What is a Quadrilateral?</h3>

A four-sided polygon having four sides and four corners is referred to as a quadrilateral in geometry .

<h3>What are Congruent sides?</h3>

Congruent sides refers to a figure's sides being equal to one another.

We know that,

A square is a quadrilateral with angles that are each 90 degrees.

Additionally, a square has four equal sides, making it a quadrilateral having all sides congruent.

As a result, a square is a quadrilateral with congruent sides and all right angles.

Learn more about quadrilateral here:

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4 0

1 year ago

If a movie starts at 10:40am and lasts for 1h and 59min, then what time should the movie end.

OverLord2011 [107]

Answer:

12:39

Step-by-step explanation:

First, to make it easier, round the amount of time the movie lasts to the nearest hour. In this case, the movie "lasts" for 2 hours.

Add 2 hours to 10:40am. Note that when it hits 12, the am becomes pm.

10:40 + 2:00 = 12:40

Now, subtract 1 minute from the amount (1 hr 60 min - 1 hr 59 min = 1 min)

12:40 - 0:01 = 12:39

12:39 pm should be the time the movie ends.

7 0

3 years ago

Read 2 more answers

HELP<br> Please<br> Please<br> im failing

Reptile [31]

Answer:

6.9

7.-5

8.-10

Step-by-step explanation:

3 0

3 years ago

Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isot

Andrews [41]

Answer:

The approximate difference in the half-lives of the isotopes is 66 days.

Step-by-step explanation:

The decay of an isotope is represented by the following differential equation:

$\frac{dm}{dt} = -\frac{t}{\tau}$

Where:

$m$ - Current mass of the isotope, measured in kilograms.

$t$ - Time, measured in days.

$\tau$ - Time constant, measured in days.

The solution of the differential equation is:

$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$

Where $m_{o}$ is the initial mass of the isotope, measure in kilograms.

Now, the time constant is cleared:

$\ln \frac{m(t)}{m_{o}} = -\frac{t}{\tau}$

$\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }$

The half-life of a isotope ( $t_{1/2}$ ) as a function of time constant is:

$t_{1/2} = \tau \cdot \ln2$

$t_{1/2} = -\left(\frac{t}{\ln\frac{m(t)}{m_{o}} }\right) \cdot \ln 2$

The half-life difference between isotope B and isotope A is:

$\Delta t_{1/2} = \left| -\left(\frac{t_{A}}{\ln \frac{m_{A}(t)}{m_{o,A}} } \right)\cdot \ln 2+\left(\frac{t_{B}}{\ln \frac{m_{B}(t)}{m_{o,B}} } \right)\cdot \ln 2\right|$

If $\frac{m_{A}(t)}{m_{o,A}} = \frac{m_{B}(t)}{m_{o,B}} = 0.9$ , $t_{A} = 33\,days$ and $t_{B} = 43\,days$ , the difference in the half-lives of the isotopes is: