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3 years ago

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pamela bought two caps at $9 each (c).she also bought two jean shirts that together cost her $70 (j). if she got a discount of $

8 (d) on her purchase.what was the amount she spent?

1 answer:

enot [183]3 years ago

8 0

Answer:

$71

Step-by-step explanation:

9 + 70 - 8 = 71

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the half life of c14 is 5730 years. Suppose that wood found at an archeological excavation site contains about 35% as much C14 a

Furkat [3]

Answer:

The wood was cut approximately 8679 years ago.

Step-by-step explanation:

At first we assume that examination occured in 2020. The decay of radioactive isotopes are represented by the following ordinary differential equation:

$\frac{dm}{dt} = -\frac{m}{\tau}$ (Eq. 1)

Where:

$\frac{dm}{dt}$ - First derivative of mass in time, measured in miligrams per year.

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

$m$ - Mass of the radioactive isotope, measured in miligrams.

Now we obtain the solution of this differential equation:

$\int {\frac{dm}{m} } = -\frac{1}{\tau}\int dt$

$\ln m = -\frac{1}{\tau} + C$

$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ (Eq. 2)

Where:

$m_{o}$ - Initial mass of isotope, measured in miligrams.

$t$ - Time, measured in years.

And time is cleared within the equation:

$t = -\tau \cdot \ln \left[\frac{m(t)}{m_{o}} \right]$

Then, time constant can be found as a function of half-life:

$\tau = \frac{t_{1/2}}{\ln 2}$ (Eq. 3)

If we know that $t_{1/2} = 5730\,yr$ and $\frac{m(t)}{m_{o}} = 0.35$ , then:

$\tau = \frac{5730\,yr}{\ln 2}$

$\tau \approx 8266.643\,yr$

$t = -(8266.643\,yr)\cdot \ln 0.35$

$t \approx 8678.505\,yr$

The wood was cut approximately 8679 years ago.

5 0

3 years ago

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 107°, a

Archy [21]

Answer: $105.19 \text{ square cm}$

Step-by-step explanation:

Since, by the SAS formula of finding the area of triangle,

The area of triangle, $A = \frac{1}{2}\times s_1\times s_2\times sin\theta$

Where, $s_1$ and $s_2$ are adjacent sides and $\theta$ is the included angle of these sides

Here, $s_1=22$ $s_2=10$

And, $\theta=107^{\circ}$

Thus, the area of the triangle ABC,

$A = \frac{1}{2}\times 22\times 10\times sin (107)^{\circ}$

$A = 110\times 0.95630475596$

$A = 105.193523156\approx 105.19\text { square cm}$

Therefore, Third Option is correct.

3 0

3 years ago

-6+3x=9 i need a answer

adell [148]

Answer:

$x = 5$

Step-by-step explanation:

Isolate then solve for x

$3x = 9+6\\3x = 15\\x = \frac{15}{3} \\x = 5$

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3 years ago

Objective 4.3Perform basic mathematical tasks in a spreadsheet.34.Alexander lends some money to Niraj. Alexander maintains a wor

murzikaleks [220]

Answer:

A. Auto Sum

Step-by-step explanation:

In a spread sheet, if there are so many entries in form of numbers, whether in form of row or a column, it might be a pain staking job to sum all them individually. In spread sheet, the best option is to perform auto sum option, which as shown by its name, will add up all the entries given and produce the answer.

Now in given options of the question, auto correct, auto summarize and auto format are not usable because all of these options will either summarize or provide average or perform formatting, as they are not mathematical functions since, Alexander wants to add up all the amount he lent to Niraj, which means a mathematical task, so auto sum, as a mathematical command is best option.

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3 years ago

Which fraction has a numerator of 9 and a denominator of 13?

drek231 [11]

Answer: 9/13

Step-by-step explanation:

the numerator goes on the top

the denominator goes on the bottom

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3 years ago