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3 years ago

10 POINTS. NEED THIS ASAP!!

Mathematics

2 answers:

irinina [24]3 years ago

8 0

Answer:

24.2

Step-by-step explanation: Yeah, Yeah.. I know I'm late but I hope it'll help others! :D

zubka84 [21]3 years ago

5 0

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------$

$\bf f(x)= \cfrac{1}{2}(3)^x \qquad 
\begin{cases}
x_1=0\\
x_2=5
\end{cases}\implies \cfrac{f(5)-f(0)}{5-0}
\\\\\\
\cfrac{\frac{1}{2}(3)^5~~-~~\frac{1}{2}(3)^0}{5}\implies \cfrac{\frac{3^5}{2}~~-~~\frac{1}{2}}{5}\implies \cfrac{\frac{243}{2}-\frac{1}{2}}{5}
\\\\\\
\cfrac{\frac{243-1}{2}}{\frac{5}{1}}\implies \cfrac{\frac{242}{2}}{\frac{5}{1}}\implies 
\cfrac{242}{2}\cdot \cfrac{1}{5}\implies \cfrac{242}{10}\implies \cfrac{121}{5}$

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Pam works a 52 hours in a week. Considering that a normal work week is 40 hours and paid at $1470 per hour and overtime is paid

Bezzdna [24]

Step-by-step explanation:

they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...

but I guess it is really $14.70 per hour, right ?

that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.

her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38

and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.

12×18.38 = $220.56

or if you need it totally precise

12×18.375 = $220.50

in total, her gross wage for that week is then

588 + 220.56 = $808.56

or totally precise with unrounded hourly rates

588 + 220.5 = $808.50

which would create a mean hourly rate

808.56/52 = $15.54923077... per hour ≈ $15.55 per hour

808.5/52 = $15.54807692... per hour ≈ $15.55 per hour

many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).

so, it is the question what your teacher expects here. I cannot tell from the description.

6 0

2 years ago

1. m∠QPR = 2. m∠QTP = 3. RP = Show all the work

alex41 [277]

Answer:

1. 30°

2.90°

3. 12 units

Step-by-step explanation:

I can't believe there's nothing confirming that this is a parallelogram/a rhombus?! Assuming is awful, and I wish you could say you can't know for sure lol but for the sake of this answer, let's just call it a rhombus. (There was probably some context elsewhere that you didn't put over here, hopefully.)

The reason I say this is: in a rhombus, the diagonals bisect the angles. This means that the diagonals split the angles they meet into two equal parts. That way, it would make sense. m∠QPR=m∠SPR=30°.

If it is a rhombus, the diagonals are perpendicular to each other, so m∠QTP should be 90°.

Diagnonals in a rhombus (and in any parallelogram) bisect each other, so PT=TR=6, and RP=PT+TR=12 units.

Sorry if this is all dreadfully wrong, and I hope I helped you!

7 0

3 years ago

Find a polynomial of degree 3 with zeros of 4, 2i and -2i

andre [41]

$(x-4)(x-2i)(x+2i)=\\
(x-4)(x^2+4)=\\
x^3+4x-4x^2-16=\\
x^3-4x^2+4x-16$

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lana [24]

C.44 square centimeters

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pshichka [43]

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3 years ago