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Harrizon [31]
3 years ago
11

A local store sells oranges at a price of six for nine dollars Abby wants to send 24 oranges to her grandmother how much would y

ou spend if she buys the oranges at the local store
Mathematics
1 answer:
amid [387]3 years ago
5 0

This would be the oranges are $1.50 each 9÷6=1.50

1.50*6=9

1.50*24=36

So she would be spending $36 dollars

Hope this helps!

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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
Which could be the name of a point?
lakkis [162]
I believe the answer is A or C because capital letters are used to name a point

6 0
3 years ago
"If A, then B" is the form of a
photoshop1234 [79]

Answer:

Step-by-step explanation:

If A then B is a conditional statement.

8 0
4 years ago
Can someone please help me on this question! Thank you very much!!
Elis [28]
First find the area of the triangle (on top) and then subtract the area of the circle (on bottom) since the triangle is Equilateral, you can assume that the height can be found by using the 30 60 90 angle relationship. To find the radius of the circle, divide the height by 2.

7 0
3 years ago
Read 2 more answers
The graph of the function f(x) = (x − 3)(x + 1) is shown.
AVprozaik [17]

The expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1

<h3>Which describes all of the values for which the graph is positive and decreasing?</h3>

The equation of the function is given as:

f(x) = (x - 3)(x + 1)

When the value of the graph is positive, we have:

f(x) > 0

So, the function becomes

(x - 3)(x + 1) > 0

Split the above inequality

x - 3 > 0 and x + 1 > 0

Solve for x in the inequalities

x > 3 and x > -1

Hence, the expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1

Read more about intervals at:

brainly.com/question/1503051

#SPJ1

3 0
1 year ago
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