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brilliants [131]

3 years ago

15

on a weekend, Neville hagberg worked 13 hours at a double time pay. his regular pay rate was 9.86. what did Neville overtime pay

for the weekend total

1 answer:

Mumz [18]3 years ago

7 0

Double time pay.....basically, this means double his regular pay
2(9.86) = 19.72 per hr for overtime pay

at 13 hrs...
19.72 (13) = 256.36 total overtime pay

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5 Consider this system of equations:<br> 5x + y = -2<br> 2x - 2y=4

Ilia_Sergeevich [38]

Answer:

x = 0

y = -2

Step-by-step explanation:

The given system of equation are:

5x + y = -2

2x - 2y = 4

The problem here is to find x and y from the expression

5x + y = -2 ----- i

2x - 2y = 4 ---- ii

So;

i x 2 : 10x + 2y = -4 ---- iii

ii x 5 : 10x - 10y = 20 ----- iv

iii - iv; 12y = -24

y = -2

Now find x;

5x + y = -2

5x - 2 = -2

x = 0

7 0

2 years ago

Can someone solve this?

ladessa [460]

First question:

Recall that $\cos^2x+\sin^2x=1$ and $\sqrt{x^2}=|x|$ for all $x$ . So

$\sqrt{1-\cos^2x}=\sqrt{\sin^2x}=|\sin x|$

$\sqrt{1-\sin^2x}=\sqrt{\cos^2x}=|\cos x|$

For $0$ , we expect both $\cos x>0$ and $\sin x>0$ (i.e. the sine and cosine of any angle that lies in the first quadrant must be positive). By definition of absolute value, $|x|=x$ if $x>0$ .

So we have

$\dfrac{\sqrt{1-\cos^2x}}{\sin x}+\dfrac{\sqrt{1-\sin^2x}}{\cos x}=\dfrac{\sin x}{\sin x}+\dfrac{\cos x}{\cos x}=1+1=\boxed{2}$

making H the answer.

Second question:

C is always true, because the inequality reduces to x > y.

6 0

3 years ago

Please help ASAP<br><br> If f(x) = x^2-6x+2 and g(x) =sqrt x find a.) (fog) (x)<br> b.) (gof) (-2)

Rudik [331]

$\large\begin{array}{l} \left\{\!\begin{array}{l} \mathsf{f(x)=x^2-6x+2}\\ \mathsf{g(x)=\sqrt{x}}\\ \end{array}\right. \end{array}$

$\large\begin{array}{l} \textsf{a) }\mathsf{(f\circ g)(x)}\\\\ =\mathsf{f\big[g(x)\big]}\\\\ =\mathsf{\big[g(x)\big]^2-6\cdot g(x)+2}\\\\ =\mathsf{\big[\sqrt{x}\big]^2-6\sqrt{x}+2}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(f\circ g)(x)=x-6\sqrt{x}+2} \end{array}}\qquad\checkmark \end{array}$

______

$\large\begin{array}{l} \textsf{b) }\mathsf{(g\circ f)(-2)}\\\\ =\mathsf{g\big[f(-2)\big]}\\\\ =\mathsf{\sqrt{f(-2)}}\\\\ =\mathsf{\sqrt{(-2)^2-6\cdot (-2)+2}}\\\\ =\mathsf{\sqrt{4+12+2}}\\\\ =\mathsf{\sqrt{18}}\\\\ =\mathsf{\sqrt{3^2\cdot 2}}\\\\ =\mathsf{3\sqrt{2}}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(g\circ f)(-2)=3\sqrt{2}} \end{array}}\qquad\checkmark \end{array}$

______

If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2181559

$\large\textsf{I hope this helps. :-)}$

Tags: <em>composite function composition evaluate algebra</em>

7 0

3 years ago

Slope = 1 y-intercept = 3

Vedmedyk [2.9K]

Answer:

y = x + 3

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

1x is the same as x

6 0

2 years ago

You want to buy a $35,000 car. The company is offering a 3% interest rate for 36 months (3 years). What will your monthly paymen

VikaD [51]

$\bigstar\boxed{\large\bf\purple{\leadsto \$3150}}$

__________________________________________

$\large\sf{\underline{Given:}}$

➠ Principal = $ 35000
➠ Rate of interest = 3%
➠ Time = 3 yrs (36 months)

$\large\sf{\underline{Therefore:}}$

‎‎‎ ‎ ‎‎‎ ‎ ‎ $\sf{Simple\: interest = \left(\dfrac{P\times R\times T}{100}\right)}$

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\sf{\longrightarrow \left(\dfrac{35000\times 3\times 3}{100}\right)}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\sf{\longrightarrow \cancel{\dfrac{315000}{100}}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\sf{\longrightarrow 3150}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

$\large\sf{\underline{Your\: monthly\: payments\:will\:be\:\$3150}}$ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

6 0

2 years ago