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Andru [333]
3 years ago
12

The mean weight of the packages Joan shipped was 2.5 pounds. If Joan mailed four packages and three of them had weights of 1.7,

3.2, and 2.8 pounds, then what did the other package weigh?
2.3
2.8
3.3
Mathematics
2 answers:
Alex17521 [72]3 years ago
7 0

Answer:

2.3

Step-by-step explanation:

user100 [1]3 years ago
5 0
(1.7 + 3.2 + 2.8 + x) / 4 = 2.5
(7.7 + x) / 4 = 2.5.....multiply both sides by 4, eliminating the /4
7.7 + x = 2.5 * 4
7.7 + x = 10
x = 10 - 7.7
x = 2.3 <====
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kati45 [8]

Answer:

The solution to the equation are x = 5.089  and    x = -0.589

Step-by-step explanation:

Given:

x(at the power of 2) = 6 + 9x

To Find:

The solution of the equation = ?

Solution:

The given equation can be written as  

=> 2x^2 = 6+9x

=>2x^2-6 -9x=0

=>2x^2-9x-6=0

Using the quadratic formula,

x = \frac{-b\pm \sqrt{(b^2 -4ac}}{2a}

where

a= 2

b = -9

c = -6

Substituting these values,

x = \frac{-(-9)\pm \sqrt{(-9)^2 -4(2)(-6)}}{2(2)}

x = \frac{-(-9)\pm \sqrt{(81) -4(-12)}}{2(2)}

x = \frac{-(-9)\pm \sqrt{81+48}}{4}

x = \frac{-(-9)\pm \sqrt{129}}{4}

x = \frac{-(-9)\pm 11.357}{4}

x = \frac{9 \pm 11.357}{4}

x = \frac{9 + 11.357}{4}                        x = \frac{9 - 11.357}{4}

x = \frac{20.357}{4}                            x = \frac{-2.357}{4}  

x =5.089                                                           x =   -0.589

6 0
3 years ago
A pendulum is constructed by attaching a 4m rope to a bowling ball. It is then displaced 2m to one side and released.
Arada [10]

Answer:

T = 4.0 s

Step-by-step explanation:

The period of a simple pendulum is given by

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where l = length of the pendulum

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g = acceleration due to gravity

= 9.8 m/s^2

period = 2\pi \sqrt{ \frac{(4 \: m)}{(9.8 \:  \frac{m}{ {s}^{2} } )} }  = 4.0 \: s

8 0
3 years ago
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katovenus [111]

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4 0
3 years ago
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How do you integrate arctan(x dx? i think that if you simplify the integral you get:?
Temka [501]
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\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du
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For the remaining integral, setting y=1+x^2 gives \dfrac{\mathrm dy}2=x\,\mathrm dx, so

\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C

Putting everything together, you end up with

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6 0
3 years ago
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Nitella [24]

Answer:

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Step-by-step explanation:

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p(x) = 20(1.014)^x

This model is exponential. Where 20 = initial population of the rabbits

1.014 = growth rate of the rabbits with 1.4% increase rate of the rabbits

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p(100) = 20(1.014)100 = 80.32... 

(80.32 - 40.08) / (100 - 50) = 40.24/50 = 0.8048. which is approximately 0.8 to the nearest tenth. 

The rate of change is 0.8. 

7 0
3 years ago
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