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4 years ago

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Find an exponential function to model the data (image provided). A.) f(x) = 116.4 – 42.8 ln x B.) f(x) = 2.04(3.56)x C.) f(x) =

3.56(2.04)x D.) f(x) = –42.8 + 116.4 ln x

1 answer:

lina2011 [118]4 years ago

8 0

Answer:

C.) f(x) = 3.56(2.04^x)

Step-by-step explanation:

The ratios of adjacent table values is about 2, so that is the approximate base of the exponential factor.

A graphing calculator figures the best fit is ...

f(x) = 3.66(2.02^x) . . . . closest to choice C

__

Choices A and D are logarithmic functions, not exponential functions. Choice B has too large a base.

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The vertices of a square are located at:

vivado [14]

Answer:

(4,4), (10,4), (10,10), (4,10)

Step-by-step explanation:

(2,2) x2 -> (4,4)

(5,2) x2 -> (10,4)

(5,5) x2 -> (10,10)

(2,5) x2 -> (4,10)

Hope that helps!

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3 years ago

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5.23 minus 2.1 write a story

lora16 [44]

Answer:

3.13

Step-by-step explanation:

There were 5.23 apples and 2.1 of them were eaten by bob. How many are left?

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3 years ago

type the correct answer in the box. if the measure of angle θis 7⁢π6. the equivalent measurement in degrees is °.

Travka [436]

If the measure of an angle "θ" is 7⁢(π/6), then it's equivalent measurement in degrees is 210°.

As per question statement, we have an angle "θ" whose measurement in radians is 7⁢(π/6). We have to convert this radians into its equivalent measurement in degrees. Thus, to solve this question, we will have need to know the relation between radians and degrees, which goes as,

("π" Radian = 180°).

Then, we will apply unitary method to our provided data and use the above-mentioned relation to obtain our desired answer, i.e.,

π Radian = 180°,

then, 7π Radian = $(180*7)$ °,

Then, 7⁢(π/6) Radian = $\frac{(180*7)}{6} =(30*7)=210$ °.

Radian: This is an unit of angle, equal to an angle at the center of a circle whose arc is equal in length to the radius.
Degrees: This is another unit of measurement of angles, one unit of this being equal to one three-hundred-and-sixtieth of the circumference of a circle.

To learn more about Radians and Degrees, click on the link below.

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2 years ago

The ratio to baseball to football 2 baseballs 6 footballs

ahrayia [7]

It would be 2:6, or 2 to 6.

I hope this helps :)

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3 years ago

Read 2 more answers

Solve the following equation by factoring:9x^2-3x-2=0

olya-2409 [2.1K]

Answer:

The two roots of the quadratic equation are

$x_1= - \frac{1}{3} \text{ and } x_2= \frac{2}{3}$

Step-by-step explanation:

Original quadratic equation is $9x^{2}-3x-2=0$

Divide both sides by 9:

$x^{2} - \frac{x}{3} - \frac{2}{9}=0$

Add $\frac{2}{9}$ to both sides to get rid of the constant on the LHS

$x^{2} - \frac{x}{3} - \frac{2}{9}+\frac{2}{9}=\frac{2}{9}$ ==> $x^{2} - \frac{x}{3}=\frac{2}{9}$

Add $\frac{1}{36}$ to both sides

$x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{2}{9} +\frac{1}{36}$

This simplifies to

$x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{1}{4}$

Noting that (a + b)² = a² + 2ab + b²

If we set a = x and b = $\frac{1}{6}\right)$ we can see that

$\left(x - \frac{1}{6}\right)^2$ = $x^2 - 2.x. (-\frac{1}{6}) + \frac{1}{36} = x^{2} - \frac{x}{3}+\frac{1}{36}$

So

$\left(x - \frac{1}{6}\right)^2=\frac{1}{4}$

Taking square roots on both sides

$\left(x - \frac{1}{6}\right)^2= \pm\frac{1}{4}$

So the two roots or solutions of the equation are

$x - \frac{1}{6}=-\sqrt{\frac{1}{4}}$ and $x - \frac{1}{6}=\sqrt{\frac{1}{4}}$

$\sqrt{\frac{1}{4}} = \frac{1}{2}$

So the two roots are

$x_1=\frac{1}{6} - \frac{1}{2} = -\frac{1}{3}$

and

$x_2=\frac{1}{6} + \frac{1}{2} = \frac{2}{3}$

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2 years ago