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1 year ago

The difference of a number and 6is the same as 5 times

Mathematics

1 answer:

leva [86]1 year ago

5 0

Answer:

let difference be x

Step-by-step explanation:

you can solve for x by keeping the 2 statesments as conditions.

then you solve for both equations together by adding subtracting or multiplying.

eg: let x be the number.

the. proceed with conditions as equations

then solve

then your answer is here

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If f(x)=ln(sin(2x)), f''(π/4) is equal to

Licemer1 [7]

Use the chain rule to compute the second derivative:

$f(x)=\ln(\sin(2x))$

The first derivative is

$f'(x)=(\ln(\sin(2x)))'=\dfrac{(\sin(2x))'}{\sin(2x)}=\dfrac{\cos(2x)(2x)'}{\sin(2x)}=\dfrac{2\cos(2x)}{\sin(2x)}$

$f'(x)=2\cot(2x)$

Then the second derivative is

$f''(x)=(2\cot(2x))'=-2\csc^2(2x)(2x)'$

$f''(x)=-4\csc^2(2x)$

Then plug in π/4 for x :

$f''\left(\dfrac\pi4\right)=-4\csc^2\left(\dfrac{2\pi}4\right)=-4$

4 0

3 years ago

A carnival ride holds 30 people at a time. In one hour,

Olegator [25]

Answer:

Step-by-step explanation:

8 0

3 years ago

Obtain the general solution of y ln x ln y dx + dy = 0

oksano4ka [1.4K]

Dy/dx = -y inx iny

(y in x in y) dx + dy = 0

(y in x in y ) dx = - dy

(in x )dx = - (1/ y in y) dy

you just need to integrate both sides

Hope this helps

4 0

3 years ago

Dianna is grading a students project the students project score is 80 but the student earned 5% bonus of the project score by do

malfutka [58]

Answer:

Step-by-step explanation:

80 + (80 * 5/100) = 84

simply take the 5% of 80 which is 4 and add it back to 80 which is 84

6 0

3 years ago

Find the volume of the triangular prism

Serhud [2]

Answer:

The volume of the triangular prism would be 210.

Step-by-step explanation:

Formula:

Volume of a triangular prism = (1/2) x Base area x Height

V = 1/2 x B x H

Find the Base area = l x w

Base area = (10 x 7) 70

Base area = 70 sq.m

V = (1/2) x (70) x 6

V = 210

5 0

2 years ago