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Lunna [17]
3 years ago
8

In a test containing 10 questions, (+5) marks are awarded for every correct answer, (-1) mark for every incorrect answer and 0 f

or not attempting the questions. If Rashid gets 4 correct answers and 6 incorrect answers, what is his score?
Mathematics
1 answer:
natka813 [3]3 years ago
6 0

Answer:

14

Step-by-step explanation:

10 questions = 4 correct + 6 incorrect

4 correct = 4* 5 = 20

6 incorrect = 6* (-1) = -6

His score is 20 -6 = 14 points

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Use logarithmic differentiation to find the derivative of the function. y = x2cos x Part 1 of 4 Using properties of logarithms,
Arisa [49]

ANSWER

{y}^{'}  = 2x \cos(x)  -   {x}^{2} \sin(x)

EXPLANATION

The given function is

y =  {x}^{2}  \cos(x)

We take natural log of both sides;

ln(y) =   ln({x}^{2}  \cos(x) )

Recall and use the product rule of logarithms.

ln(AB)  =  ln(A )  +  ln(B)

This implies that:

ln(y) =   ln({x}^{2}  ) +  ln( \cos(x) )

ln(y) =  2 ln({x} ) +  ln( \cos(x) )

We now differentiate implicitly to obtain;

\frac{ {y}^{'} }{y}  =  \frac{2}{x}   -  \frac{ \sin(x) }{ \cos(x) }

Multiply through by y,

{y}^{'} = y( \frac{2}{x}   - \frac{ \sin(x) }{ \cos(x) ) })

Substitute y=x²cosx to obtain;

{y}^{'} =  {x}^{2}  \cos(x) ( \frac{2}{x}   - \frac{ \sin(x) }{ \cos(x) ) } )

Expand:

{y}^{'}  = 2x \cos(x)  -   {x}^{2} \sin(x)

7 0
3 years ago
A wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a
Angelina_Jolie [31]

Answer:

5 or 6

Step-by-step explanation:

So I did it in a different way than shown in rsm classes. I said that the speed was x-2 and x.

then I said the distance was 6 and 15. If the time taken was 1 hour more, then we can come up with this equation:

Since the time is 6/x-2 or 15/x

15/x-6/x-2=1

multiply everything to get a common denominator then cancel it out to get

(15x-30)-6x=x^2-2x

11x-30=x^2

x^2-11x+30=0

(x-5)(x-6) is factored form.

so x=5 or x=6. this means that the speed of the boat is either 5km/h or 6 km/h

6 0
3 years ago
5,111 ÷ 3 it wont show up on calculator
Mashcka [7]

Answer:

Step-by-step explanation:

In calculator the answer is 1703.66666667

3 0
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stans cookie recipe makes 24 cookies and calls for exactly 384 sprinkles. he is wondering how many sprinkles (p) he will need to
Angelina_Jolie [31]

Answer:

960 sprinkles

Step-by-step explanation:

If 24 cookies call for EXACTLY 384 sprinkles, then 16 sprinkles fit on each cookie. 384/24 = 16

If 16 sprinkles fit on each cookie, 16 cookies on 60 cookies would be 960.

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Use photo math it’s on the App Store
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