Lets x is the labor charges per hour
3x + 126.53 = 220.28

3x = 220.28 - 126.53
3x = 93.75
x = 93.75 / 3
x = 31.25

answer: $31.25 per hour charged for labor

6 0

3 years ago

Read 2 more answers

The trajectory of a flying saucer is given by the vector function r(t) = (5 sin(t))i + (5 cos(t))j + 12tk for t ≥ 0 where coordi

Kipish [7]

Answer:

t0 = 2

Step-by-step explanation:

r' = <5cost,-5sint,12>

ds = $\sqrt{25cos^{2}t+25sin^{2}t+12^2} = \sqrt{25+144} = 13$ dt

So, we want

$\int\limits^x_0 {13} \, dt = 26$

8 0

3 years ago

Find the value of x.

Alik [6]

Answer:

$x =15$

Step-by-step explanation:

In $\odot D,$ AB and AC are chords which are equidistant from the center of the circle.

$\therefore Chord \: AB \cong Chord\: AC$

$\therefore m \widehat {AB} = m\widehat {AC}$

(Equal chords intercept equal arcs)

$\because m \widehat {AB} = (10x-23)\degree$

$\therefore m \widehat {AC} = (10x-23)\degree$

$m \widehat {AB} +m \widehat {AC} +106\degree = 360\degree$

(Arc sum postulate of a circle)

$(10x-23)\degree + (10x-23)\degree= 360\degree- 106\degree$

$2(10x-23)\degree = 254\degree$

$(10x-23)\degree = 127\degree$

$10x-23 = 127$

$10x = 127+23$

$10x = 150$

$x = \frac {150}{10}$

$x =15$

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%3D-4x%5E%7B2%7D%2B5x" id="TexFormula1" title="f(x)=-4x^{2}+5x" alt="f(x)=-4x^{2}+5x"

JulijaS [17]

Answer:

Domain= (-inf,inf)/(-∞,∞)

Range= (-inf,25/16]

x-intercepts= (0,0), (5/4,0)

y-intercepts=(0,0)

vertex= maximum (5/8,25/16)

8 0

3 years ago