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Zielflug [23.3K]
3 years ago
8

Find the equation of the line normal to the curve of y=cos1/3x, where x=pi

Mathematics
1 answer:
miv72 [106K]3 years ago
5 0

Answer:

The equation of the line normal to the curve of y=cos1/3x, where x=pi is y= 2√3 x - 10.38

Step-by-step explanation:

The equation of the normal to the curve is

Y- y1 = - 1/m (x- x1)

Where m is the gradient.

See attached picture for the complete solution.

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What is the value of t? 13t - 8.7 = 82.3
Dennis_Churaev [7]

Answer:

7

Step-by-step explanation:

13t = 82.3 + 8.7

13t = 91

t = 91/13 = 7

5 0
3 years ago
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Let r=.05 be the reserve rate. Which one of the following is the money multiplier?
Lady_Fox [76]
The formula for the money multiplier is :
1/ Reserve rate
so, the answer would be :
1/0.05
5 0
3 years ago
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You are playing tennis with a friend.The path of the tennis ball after you return to a serve can be modeled by the function y=-0
Ivahew [28]
#1) 4.445 ft
#2) yes

Explanation
#1) The maximum height is the y-coordinate of the vertex.  We first find the axis of symmetry, given by x=-b/2a:

x=-0.17/2(-0.005) = -0.17/-0.01 = 17

Plugging this into the equation,
y=-0.005(17²)+0.17(17)+3 = 4.445

#2) Substituting 30 into the equation,
y=-0.005(30²) + 0.17(30) + 3 = 3.6

The ball will 3.6 in the air, so yes, it will clear the 3 ft tall net.
4 0
3 years ago
A restaurant sells about 330 sandwiches each day at a price of $6 each $.25 decrease in price. 15 more sandwiches are sold per d
zmey [24]

Answer:

restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

Step-by-step explanation:

to calculate current revenue= $6 x 330 = $1980

suppose x as the number of times the price to be dropped by $0.25

then find new price.. i.e

new price= $(6-0.25x)

and, new sell=330 +15x sandwiches

therefore, the new revenue would be= (6-0.25x)(330 +15x)

in order to maximize the current revenue, simplify the above equation and make it complete square using x

(6-0.25x)(330 +15x)

=1980-82.5x +90x -3.75x^{2}

=1980 + 7.5x -3.75x^{2}

=1980-3.75 (-2x+x^{2}) ----> taking out common

now, to make a complete square lets add and subtract 1 inside the parentheses

=1980-3.75(-1+1-2x+x^{2})

=1980 +3.75 -3.75(x^{2} -2x +1)

=1983.75 -3.75 (x-1)^{2}---->(1)

as (x-1)^{2} is positive always, minimize the other term in order to maximize the total revenue.

so the minimum possible value of (x-1)^{2} = 0

therefore, x=1

putting x in eq(1) the revenure becomes,

$(1983.75-0)=> $1983.75

therefore, restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

3 0
3 years ago
In the name carbon dioxide, the prefix of the second word indicates that a molecule of carbon dioxide contains
kherson [118]

Answer:

The correct option is B. two oxygen atoms

Step-by-step explanation:

The molecular formula for carbon dioxide is given by :

CO_2

Here, the alphabet C stands for Carbon and the alphabet O stands for Oxygen.

And the prefixes of each of these words represents the number of atoms present of the corresponding element in one molecule of carbon dioxide.

So, The prefix of the first word that is C is 1

⇒ One molecule of carbon dioxide contains one atom of Carbon.

The prefix of the second word that is O is 2

⇒ One molecule of carbon dioxide contains 2 atoms of Oxygen.

Therefore, The correct option is B. two oxygen atoms

7 0
3 years ago
Read 2 more answers
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