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vodomira [7]
3 years ago
9

Cathy is paid at a rate of $7 20 per hour for a basic hour-week of 70 hours. She is paid time-and-a-half for over-time during th

e week and double-time on weekends. In a fortnight she worked 160 hours, and 4 hours on Saturday and 2 hours on Sunday. What is Cathy's hours in a fortnight
Mathematics
2 answers:
goldenfox [79]3 years ago
8 0

i believe it’s 8 hope it’s right

zlopas [31]3 years ago
7 0
I think it’s 8 , I hope it’s right !
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Limit as x approaches infinity: 2x/(3x²+5)
Nonamiya [84]
\bf \lim\limits_{x\to \infty}~\cfrac{2x}{3x^2+5}\implies \cfrac{\lim\limits_{x\to \infty}~2x}{\lim\limits_{x\to \infty}~3x^2+5}

now, by traditional method, as "x" progresses towards the positive infinitity, it becomes 100, 10000, 10000000, 1000000000 and so on, and notice, the limit of the numerator becomes large.

BUT, notice the denominator, for the same values of "x", the denominator becomes larg"er" than the numerator on every iteration, ever becoming larger and larger, and yielding a fraction whose denominator is larger than the numerator.

as the denominator increases faster, since as the lingo goes, "reaches the limit faster than the numerator", the fraction becomes ever smaller an smaller ever going towards 0.

now, we could just use L'Hopital rule to check on that.

\bf \lim\limits_{x\to \infty}~\cfrac{2x}{3x^2+5}\stackrel{LH}{\implies }\lim\limits_{x\to \infty}~\cfrac{2}{6x}

notice those derivatives atop and bottom, the top is static, whilst the bottom is racing away to infinity, ever going towards 0.
5 0
3 years ago
Solve y^2+7y+12=0 by completing the square.​
kkurt [141]

Answer:

y = -3, -4

Step-by-step explanation:

Formula is (b/2)^2

So...

(y+7/2)^2 - 1/4 = 0

Add 1/4 to each side

(y+7/2)^2 = 1/4

Square root...

y+7/2 = +-1/2

Add

y = -3, -4

8 0
3 years ago
Four girls and eight boys are running for president or vice president of the Student Council. What is the probability that the p
Sedaia [141]
The probability for a boy is 8/12 and the girls is 4/12 so that's a 4/12 diffrence
5 0
3 years ago
Two people are 100 feet apart on opposite sides of a tree. The angles of elevation from the people to the top of the tree are 30
cricket20 [7]
We need to solve for the height of the tree given two angles and distance between the two observers. See attached drawing for a better understanding of the problem.
We derive to equations using SOH CAH TOA such as below:
sin30 = h / x
sin 45 = h / (100-x)

sin 45 (100-x) = xsin30 
70.71 - 0.71x = 0.5x
70.71 = 1.21 x
x = 58.44

Solving for h, we have:
h = xsin30
h = 58.44 sin30
h = 29.22

The height of the tree is 29.22 feet. 

4 0
3 years ago
Read 2 more answers
Write a multiplication expression that can be used to solve 2/3a = 30.
Tresset [83]
<h3>Answer:</h3>

a=45

<h3>Solution:</h3>
  • We need to multiply both sides by 3 in order to get rid of the denominator, 3:
  • 2/3a•3=30•3
  • 2a=90
  • Divide both sides by 2:
  • a=45

Hope it helps.

Do comment if you have any query.

8 0
2 years ago
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