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3 years ago

6.2x =-6 solve the equation

Mathematics

2 answers:

mestny [16]3 years ago

6 0

6.2x = -6
Divide both sides by 6.2
x= -6/6.2
x= -0.968

Karo-lina-s [1.5K]3 years ago

4 0

-1.03 repeating is what i get

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From 1960 to 2010, a certain money stock measure was growing at the rate of approximately 43e(1/2)x billion dollars per decade,

natulia [17]

Answer:

1222 billion dollars.

Step-by-step explanation:

To find the total increase from 1960 to 2010, we need to find the growth of each decade and sum them all:

In the period 1960-1970, we have x = 1, and the growth is:

$y(1) = 43e(1/2) = 70.895$

In the period 1970-1980, we have x = 2, and the growth is:

$y(2) = 43e(2/2) = 116.8861$

The growth in the following 3 periods are:

$y(3) = 43e(3/2) =192.7126$

$y(4) = 43e(4/2) = 317.7294$

$y(5) = 43e(5/2) =523.8472$

So the total growth in the period 1960 - 2010 is:

$Total = y(1) + y(2) + y(3) + y(4) + y(5)$

$Total = 70.895 + 116.8861+192.726+317.7294+523.8472$

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6 0

3 years ago

Toni and Marcy partnered together in running laps around a track to raise money for the Children's Hospital's playroom. Toni rai

lutik1710 [3]

X represent the number of laps Marcy swam, 114x represent the number of times Toni swam.

20 + 0.80(114x) + 15 + 0.85x = 257
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Required equation is 92.05x + 35 = 257

3 0

3 years ago

Ethan is watching a satellite launch from an observation spot 1 mile away. Find the angle of elevation from Ethan to the satelli

Thepotemich [5.8K]

Answer:

$\theta=80.53^{\circ}$

Step-by-step explanation:

From the attached figure, AB is the height of the satellite and the distance between Ethan and the ground is 1 mile.

We can find the angle of elevation from Ethan to the satellite using trigonometry as follows :

$\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{6}{1}\\\\\theta=\tan^{-1}(6)\\\\\theta=80.53^{\circ}$

So, the angle of elevation is 80.53 degrees.

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3 years ago