2n is greater than 14

Answers

Answer 1

Answer: The answer is n > 7. This is the answer

Answer 2

Answer: 2n>14
divide by 2 on both sides.
n=7

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Star QuestionMrs Jenkins is organising a charity raffle.She sells 300 tickets for £3 each.The probability that someone wins a prize is 0.2Each prize cost £8The profit is donated to charity.Work out how much monev Mrs Jenkins donates to charity.

Answers

Mrs. Jenkins donate £420 to charity.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the singleunit value

We have,

Mrs. jenkins sold= 300 tickets for £3 each

The price of total tickets sold=300x3=900

As, The probability that someone wins a prize is 0.2.

So, 300 /0.2

= 60

Each prize cost £8.so,

=60x8

=480

Thus,

900-480=420

Hence, Mrs Jenkins would give £420 to charity.

Learn more about unitary method here:

brainly.com/question/22056199

#SPJ2

300x3=900
300 divided by 5 (0.2 as a fraction 1/5) is 60
60x8=480
900-480=420
Mrs Jenkins would give £420 to charity

hope this helps :)

Explain the derivation behind the derivative of sin(x) i.e. prove f'(sin(x)) = cos(x)How about cos(x) and tan(x)?

Answers

1.

$f'(\sin x) = \lim_(h \to 0) (f(x+h) - f(x))/(h) = \lim_(h \to 0) (\sin(x+h) - \sin(x))/(h) = \n \n = \lim_(h \to 0) (2 \sin( (x+h - x)/(2)) \cdot \cos( (x+h+x)/(2)) )/(h) = \lim_(h \to 0) (2 \sin( (h)/(2)) \cos( (2x+h)/(2) ) )/(h) = \n \n = \lim_(h \to 0) [ (\sin( (h)/(2)) )/( (h)/(2) ) \cdot \cos ((2x+h)/(2)) ] = \lim_(h \to 0) [1 \cdot \cos( (2x+h)/(2) ) ] =$

$= \cos( (2x)/(2)) = \boxed{\cos x}$

2.

$f'(\cos x) = \lim_(h \to 0) (f(x+h) - f(x))/(h) = \lim_(h \to 0) (\cos(x+h) - \cos(x))/(h) = \n \n = \lim_(h \to 0) (-2 \sin ( (x+h+x)/(2)) \cdot \sin ( (x+h-x)/(2)) )/(h) = \lim_(h \to 0) (-2 \sin ( (2x+h)/(2)) \cdot \sin ( (h)/(2)) )/(h) = \n \n = \lim_(h \to 0) (-2 \sin ( (2x+h)/(2)) )/(2) \cdot (sin( (h)/(2)) )/( (h)/(2) ) = \lim_(h \to 0) -\sin( (2x+h)/(2)) \cdot 1 =$

$= -\sin( (2x)/(2)) = \boxed{\sin x }$

3.

$f'(\tan) = \lim_(h \to 0) (f(x+h) - f(x))/(h) = \lim_(h \to 0) (\tan(x+h) - \tan(x))/(h) = \n \n = \lim_(h \to 0) ( (\sin(x+h-x))/(\cos(x+h) \cdot \cos(x)) )/(h) = \lim_(h \to 0) ( (\sin(h))/( (\cos(x+h-x) + \cos(x+h+x))/(2) ) )/(h) =$

$= \lim_(h \to 0) ( (\sin(h))/(\cos(h) + \cos(2x+h)) )/( (1)/(2)h ) = \lim_(h \to 0) (\sin(h))/( (1)/(2)h \cdot [\cos(h) + \cos(2x+h)] ) = \n \n = \lim_(h \to 0) (\sin(h))/(h) \cdot (1)/( (1)/(2) \cdot (\cos(h) + cos(2x+h) ) = 1 \cdot (1)/( (1)/(2) \cdot (1+ cos(2x) ) = (2)/(1 + 2 \cos^(2) - 1 ) = \n \n = (2)/(2 \cos^(2) x) = \boxed{ (1)/(\cos^(2)x) }$

4.

$f'(\cot) = \lim_(h \to 0) (f(x+h) - f(x))/(h) = \lim_(h \to 0) (\cot(x+h) - \cot(x))/(h) = \n \n = \lim_(h \to 0) ( (\sin(x - x - h))/(\sin (x+h) \cdot \sin (h)) )/(h) = \lim_(h \to 0) ( (\sin(-h) )/( (\cos(x+h-x) - \cos(x+h+x))/(2) ) )/(h) =$

$= \lim_(h \to 0) ( (-\sin(h))/(\cos(h) - \cos(2x+h)) )/( (1)/(2)h ) = \lim_(h \to 0) ( - \sin(h))/( (1)/(2)h \cdot [\cos(h) - \cos(2x+h)] ) = \n \n = \lim_(h \to 0) (- \sin (h))/(h) \cdot (1)/( (1)/(2) \cdot [\cos(h) - \cos(2x+h)] ) = -1 \cdot (2)/(1 - cos(2x)) = \n \n = - (2)/(1 -1 + 2 \sin^(2)x) = - (2)/(2 \sin^(2) x) = \boxed{- (1)/(\sin^(2) x) }$

I posted an image instead.

Solve this problem using estimation.Melissa bought 18 cupcakes and 2 gallons of fruit punch for her Valentine party. If the cupcakes cost $.33 each and the punch costs $2.78 a gallon, estimate the cost of the cupcakes.

Answers

If she bought 18 cupcakes at $0.33 each, and 2 gallons of punch at $2.78 each, then Melissa have spent $11.50 overall for the cupcakes.

Need help with both question. Grateful for any help. Thanks

Answers

18)
It says the scale factor is 1:25000, so for every one part there is actually 25000. So for every centimeter, there is actually 25000 cm. See that we multiplied by 25000.
So for 6.8cm, multiply by 25000 to get 170000cm.
The real distance represented is 170000cm.

19) Just work out one step at a time using order of operations.
Do parentheses first. 7^2 = 49, and 3^3 is 3*3*3 which is 27.
Now you have [8(49 - 27) ]/ sqrt121.

Finish simplifying the parentheses. 49 - 27 is 22.
[8(22)] / sqrt121.

Now multiply 8 times 22, which is 176.
176 / sqrt 121

The square root of 121 is 11.

176/11.
= 16

#18).

-- The map has a scale factor of 1:25,000.

-- Any distance on the paper map represents
25,000 times that distance in the real world.

-- If you measure 6.8 cm on the paper map,
that represents a real distance of (25,000 times 6.8 cm).

#19). Relax, breathe, and take it one step at a time:

=> 7² = 49
=> 3³ = 27
=> (7² - 3³) = (49 - 27) = 22
=> 8 times that is 176 .

√121 = 11 .

Can you handle it from there ?

PLEASE HELP MEEE!!!!! GIVE YOU ANYTHING YOU WANT JUST GIVE ME THE ANSWER! well, i wouldn't give you everything but i will give you brainlest and points. that's really all you need correct? Which binomials are factors of x2−9x−36?

Select the two correct answers.

x + 9

x−3

x + 3

x−4

x + 4

x−12

x + 12

x−9