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3 years ago

Evaluate f(x) = sqrt(5x + 4) for x = 12

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

8 0

Answer is 8

Work Shown:

f(x) = sqrt(5*x + 4)

f(12) = sqrt(5*12 + 4) ... replace every x with 12

f(12) = sqrt(60 + 4)

f(12) = sqrt( 64 )

f(12) = 8

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HELP PLEASEEE

jeka94

The exact circumference of the circle is $7 \frac{49}{150} k m$

The approximate circumference of the circle is $7.33 k m$

Explanation:

The diameter of the circle is $2 \frac{1}{3} \mathrm{km}$

Now, we shall find the circumference of the circle.

The formula to determine the circumference of the circle is given by

$C=\pi d$

Where C is the circumference , $\pi$ is 3.14 and $d=2 \frac{1}{3} \mathrm$ is the diameter of the circle.

The exact circumference of the circle is given by

$\begin{aligned}C &=\pi d \\&=(3.14)\left(2 \frac{1}{3}\right) \\&=(3.14)\left(\frac{7}{3}\right) \\&=\frac{21.98}{3}\end{aligned}$

Multiply both numerator and denominator by 100, we get,

$C=\frac{2198}{300} \\C=\frac{1099}{150}$

Converting $\frac{1099}{150}$ into mixed fraction, we get,

$C=7 \frac{49}{150}$

Thus, the exact circumference of the circle is $7 \frac{49}{150} k m$

The approximate value of the circumference can be determined by dividing the value $\frac{1099}{150}$

$C=\frac{1099}{150}=7.327$

$C=7.33km$

Thus, the approximate circumference of the circle is $7.33 k m$

3 0

3 years ago

Someone help me with this geometry homework !!!!!! 10 points!

Reil [10]

Answer: 3a = (0, 1) 3b = (2, 1) 3c = (2.5, 1) 3d = (1.6, 1)

4a = (2, 3.5) 4b = (2, 3) 4c = (2, 5.375)

<u>Step-by-step explanation:</u>

The length of AB is 6 and is horizontal (affects the x-coordinate)

$3a)\quad 6\bigg(\dfrac{1}{2}\bigg)\quad =3\qquad \qquad A(-2, 1) +(3, 0)= C(1,1)\\\\\\3b)\quad 6\bigg(\dfrac{2}{3}\bigg)\quad =4\qquad \qquad A(-2, 1) +(4,0)= C(2,1)\\\\\\3c)\quad 6\bigg(\dfrac{3}{4}\bigg)\quad =\dfrac{9}{2}\qquad \qquad A(-2, 1) +(4.5,0)= C(2.5,1)$

$3d)\quad 6\bigg(\dfrac{3}{5}\bigg)\quad =\dfrac{18}{5}\qquad \qquad A(-2, 1) +(3.6,0)= C(1.6,1)$

***********************************************************************************

The length of AB is 5 and is vertical (affects the y-coordinate)

$4a)\quad 5\bigg(\dfrac{1}{2}\bigg)\quad =\dfrac{5}{2}\qquad \qquad A(2, 1) +(0,2.5)= C(2,3.5)\\\\\\4b)\quad 5\bigg(\dfrac{2}{5}\bigg)\quad =2\qquad \qquad A(2, 1) +(0,2)= C(2,3)\\\\\\4c)\quad 5\bigg(\dfrac{7}{8}\bigg)\quad =\dfrac{35}{8}\qquad \qquad A(2, 1) +(0,4.375)= C(2,5.375)$

4 0

3 years ago

II. Word Problem:

Leona [35]

I don’t know understand

5 0

2 years ago

Create an equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V.

marishachu [46]

The equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V is H = 2V + 3.

<h3>How to compute the equation?</h3>

Your information is incomplete. Therefore, an overview will be given.

Let's assume that the value of the horizontal length is 3 plus twice the value of the the vertical length. This will be:

H = (2 × V) + 3

H = 2V + 3

In conclusion, the equation is H = 2V + 3.

Learn more about equations on:

brainly.com/question/2972832

7 0

1 year ago

How √225 and √223 are different by their nature ??

denis23 [38]

Here, we know, √225 = 25 (perfect squared)
whereas √223 is not a perfect squared.

So, √225 would be "Rational" whereas √223 would be "Irrational" by the nature.

Hope this helps!

5 0

2 years ago