A merry-go-round has a circular platform with a diameter of 2 yards. What is the platform's area?

From data gathered in the period 2008−2012, the yearly value of U.S. exports can be modeled by the function E(x) = −228x3 + 2,25

vredina [299]

Answer:

The total value the U.S. imported and exported is 19364 billion dollars

Step-by-step explanation:

* Lets explain how to solve the problem

- The yearly value of U.S. exports can be modeled by the function

E(x) = −228 x³ + 2,252.8 x² − 6,098.5 x + 11,425.8

# x is the number of years after 2008

# E(x) is the value of exports in billions of dollars

- The yearly value of U.S. imports can be modeled by the function

I(x) = −400.4 x³ + 3,954.4 x² − 11,128.8 x + 17,749.6

# x is the number of years after 2008

# I(x) is the value of imports in billions of dollars

* We need to calculate the total value the U.S. imported and

exported in 2012

∵ x is the number of years after 2008

∴ At 2012 x = 4 years

- Lets calculate the value of the exports in 2012

∴ E(x) = -228(4)³ + 2,252.8(4)² - 6,098.5(4) + 11,425.8

∴ E(x) = 8484.6 billion dollars

- Lets calculate the value of the imports in 2012

∴ I(x) = -400.4(4)³ + 3,954.4(4)² - 11,128.8(4) + 17,749.6

∴ I(x) = 10879.2 billion dollar

∵ The total value the U.S. imported and exported = E(x) + (I(x)

∴ The total value = 8484.6 + 10879.2 = 19363.8

∴ The total value = 19364 billion dollars

* The total value the U.S. imported and exported is 19364 billion dollars

7 0

3 years ago

harrison predicted that the actual quotient for 57,872 divided by 305 will be less than the estimate 60,000 divided by 300 equal

harina [27]

Harrison is correct because the 305 in the actual problem is greater than the 300 in the estimate and 57872 is less than 60000. Harrison arrived at his prediction by rounding to the nearest ten thousand and nearest hundred.

3 0

3 years ago

4ln x -8=12 its giving me other equations

kogti [31]

The solution of the given logarithmic equation is x = 28.1

<h3>How to solve the logarithmic equation?</h3>

Here we have the logarithmic equation:

4*ln(x - 8) = 12

And we want to solve this for x.

Remember the relations:

$ln(e^x) = x\\e^{ln(x)} = x$

First, we divide both sides by 4:

$ln(x - 8) = 12/4 = 3$

Then, if we apply the exponential equation to both sides of our equation, we get:

$e^{ln(x - 8)} = e^{3}\\\\x - 8 = e^3\\\\x = e^3 + 8 = 28.1$

If you want to learn more about logarithmic equations:

brainly.com/question/236421

#SPJ1

8 0

1 year ago

Find the slope of the line graphed below.

Mars2501 [29]

Answer:

-2/3

Step-by-step explanation:

rise over run is 4/-6 = -2/3

8 0

2 years ago

Give the equation of the graph of y = 2 cos 3x + 1 after it has been stretched vertically by a factor of 2, flipped upside down,

Anna71 [15]

Answer:

Step-by-step explanation:

So we have the following chain of transformations

$f(x)\to 2f(x)\to -2\f(x)\to -2f(\frac{1}{2}x)\\$

So now

$-2f(\frac{1}{2}x)=-2\left(2\cos(3x/2)+1\right)=-4\cos(3x/2)-2$

6 0

2 years ago