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Gemiola [76]
2 years ago
6

Y'all this is circumference and area of a circle but we only wanna do 3.14 and not the whole pi value. And you can't round. Can

you help me plz?...

Mathematics
2 answers:
olya-2409 [2.1K]2 years ago
8 0

Answer:

circumference: 18.84 cm area: 28.26 cm^2

docker41 [41]2 years ago
7 0

circumference is 18.84

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4x -5 = 2(2x +1)<br> I need help
Nostrana [21]

Answer:

No Solution

Step-by-step explanation:

4x-5=2\left(2x+1\right)

Expand:

4x-5=2* \:2x+2* \:1

4x-5=4x+2

Add 5 to both sides:

4x-5+5=4x+2+5

4x=4x+7

Subtract 4x from both sides:

4x-4x=4x+7-4x

0=7

No solution as this is false.

4 0
3 years ago
Read 2 more answers
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
Marcy wants to paint the sides of the wooden storage chest shown below gray except the white lid. What is the surface area?
arlik [135]

Answer:

Surface area = 2,160 in²

Step-by-step explanation:

Given:

Length of box = 15 in

Width of box = 30 in

Height of box = 24 in

Find:

Surface area

Computation:

Surface area = 2h[l+b]

Surface area = 2(24)[30 + 15]

Surface area = 48 x 45

Surface area = 2,160 in²

7 0
2 years ago
What is the range of the function graphed below?
PilotLPTM [1.2K]

Answer:

[-4,0) ∪ [2, ∞)

Step-by-step explanation:

For piecewise function domain and range, we need to understand the difference between "(" and "["  or  ")" and "]"

  • The parenthesis ( "(" and ")" ) are used for "open circles" in the graph.
  • The brackets ( "[" and "]" ) are use for "closed circles" in the graph.

Range is the set of y-values for which the function is defined.

Now,

The upper part of the function shows the graph going from y = 2 towards infinity (arrow). At y = 2 , there is closed circle, so this part range would be

[2, ∞)  (infinity is always with parenthesis)

Now, looking at bottom part, the function is defined from 0 (open circle) to -4 (closed). so we can write:

[-4,0)

This is the range, 2nd answer choice is correct.

[-4,0) ∪ [2, ∞)

3 0
3 years ago
Read 2 more answers
A hair salon charges a fixed rate of $25.00 for a haircut and an additional $15 for any other services. Write a function to mode
Lynna [10]

Answer:

A

Step-by-step explanation:

The function is f(x) = 15x + 25 as 25$ is a fixed rate ( it does not change and is always charged) when 15$ for any other service which can be anything, a costumer can have 0 services other than the hair cut which gives f(0). As for the question, it's asking for haircut, shampoo, highlight, and blow dry so that is 3 other services other than the fixed haircut which means f(3). substitute x=3 in the function to get 15(3) + 25 = 45+25 = 70.

6 0
3 years ago
Read 2 more answers
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