MATHEMATICS HIGH SCHOOL

You have been contracted to replace a countertop in a kitchen. You will get paid $1,000 to do the job. You can complete the job in three days working 8 hours a day. You will need to pay the cost of the materials, which is $525, with the $1,000 that you receive to do the job. How much will you be paid per hour for your time?

Answers

Answer 1

Answer:

Answer:

$19.79 cents (rounded to the nearest cent)

Step-by-step explanation:

first subtract the amount needed for materials from your total pay

(1000 - 525 = 475)

take 475 and divide that among the hours you work.

475 / 24 = 19.7916666

round that number to the closest money value

19.79

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How do I get (tan^2(x)-sin^2(x))/tan(x) equal to (sin^2(x))/cot(x)

Answers

$LHS\n \n =\frac { \tan ^( 2 ){ x-\sin ^( 2 ){ x } } }{ \tan { x } } \n \n =\frac { 1 }{ \tan { x } } \left( \tan ^( 2 ){ x-\sin ^( 2 ){ x } } \right)$

$\n \n =\frac { \cos { x } }{ \sin { x } } \left( \frac { \sin ^( 2 ){ x } }{ \cos ^( 2 ){ x } } -\frac { \sin ^( 2 ){ x\cos ^( 2 ){ x } } }{ \cos ^( 2 ){ x } } \right) \n \n =\frac { \cos { x } }{ \sin { x } } \left( \frac { \sin ^( 2 ){ x-\sin ^( 2 ){ x\cos ^( 2 ){ x } } } }{ \cos ^( 2 ){ x } } \right)$

$\n \n =\frac { \cos { x } }{ \sin { x } } \cdot \frac { \sin ^( 2 ){ x\left( 1-\cos ^( 2 ){ x } \right) } }{ \cos ^( 2 ){ x } } \n \n =\frac { \cos { x } }{ \sin { x } } \cdot \frac { \sin ^( 2 ){ x\cdot \sin ^( 2 ){ x } } }{ \cos ^( 2 ){ x } } \n \n =\frac { \cos { x } \sin ^( 4 ){ x } }{ \sin { x\cos ^( 2 ){ x } } } \n \n =\frac { \sin ^( 3 ){ x } }{ \cos { x } }$

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Mark works at a popular electronics retail store. He earns a fixed income of $18 an hour and a 5% commission on the sales he makes. Let's say, y = earnings h = number of hours worked s = amount of sales Which of these equations correctly indicates how much Mark earns in a day?

Answers

Answer:

Mark earns in a day is y = 18h + 0.05s .

Step-by-step explanation:

As given

Mark works at a popular electronics retail store.

He earns a fixed income of $18 an hour and a 5% commission on the sales he makes.

As given

y = earnings .

h = number of hours worked

s = amount of sales

5% is written in the decimal form.

$= (5)/(100)$

= 0.05

Mark earns through commission = 0.05 × s

= 0.05s

Mark earns h working hours = 18h

Thus

Total earning of the mark = Mark earns h working hours + Mark earns through commission .

Put the value

y = 18h + 0.05s

Therefore the Mark earns in a day is y = 18h + 0.05s .

y=18h+0.05s, 18 dollars per hour plus 0.05 per sales will give you the earnings Mark earns a day.

If two angles are both vertical and supplementary, then the angles are

Answers

we know that

Supplementary angles are those angles whose sum is equal to $180$ degrees and vertical angles are angles that are congruent.

Let

x--------> the first angle

y--------> the second angle

$x=y$ --------> equation $1$

$x+y=180$ --------> equation $2$

Substitute equation $1$ in equation $2$

$x+[x]=180$

$2x=180$

$x=90$

$y=90$

therefore

the answer is

the angles are right angles

ur answer would be RIGHT angle!!!

Hope its right!

Which logarithmic function has x = 5 as its vertical asymptote and (6, 0) as the x-intercept? (x is the variable.). The logarithmic function is f(x) = log ?

Answers

Answer: f ( x ) = log ( x - 5 )

Explanation:

1) Take g(x) = log (x) as the parent function

2) The horizontal asymptote of g(x) is x = 0, and the y-intercept is (1,0).

3) Then, translating the asymptote to x = 5, and the y-intercept to (6,0), means that the graph of the parent function is being shifted 5 units to the right.

4) The rule is that the translation of the function g(x) a constant value to the right, say it is k, results in the function f(x) = g(x - k).

5) Therefore, the logarithmic function searched is f(x) = g(x - 5) = log (x - 5), and that is the answer.

6) You can prove that log (x - 5) meets the two conditions:

i) $\lim_(x \to \n5+) log(x-5) = - \infty$ , which means x = 5 is a vertical asymptote

ii) f(6) = log (6 - 5) = log (1) = 0 ⇒ point (6,0) is the x-intercept

The parent function:
f ( x ) = log x
Domain of a new function: x ∈ ( 5, +∞ )
Answer: f ( x ) = log ( x - 5 )

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Answers

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Answers

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2) no passing zones and edge line - it is composed of a combination of solid yellow line, single broken-yellow line, double solid yellow line. It means overtaking or passing is never permitted.

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