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2 years ago

Select the line that is equivalent to 5x +2y=6.

Mathematics

1 answer:

oksano4ka [1.4K]2 years ago

5 0

Answer: It will be C, 5x + 2y = 6 is equivalent to y = -5/2x + 3

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(b) The force, F, between two objects is inversely proportional to the square of the distance, d, between

LiRa [457]

Answer:

F is reduced by 31%

Step-by-step explanation:

F = 1/(d²)

now, we increase the distance by 20% (multiply by 1.2).

F new = 1/(1.2×d)² = 1/(1.44×d²) = (1/1.44) × (1/(d²)) =

= 1/1.44 × old F = 0.69 × old F

100 - 69 = 31%

6 0

2 years ago

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

Solve the system of equations by elimination 3x + 5y = 16 2x - y = 2

alina1380 [7]

Answer:

the answer is 2

Step-by-step explanation:

8 0

2 years ago

Write Each Number As A Power Of 5

Lena [83]

The numbers as powers of 5 are 5^-1, 5^-2, 5^-3 and 5^0

<h3>How to rewrite the numbers as a power of 5?</h3>

The numbers are given as:

• 0.2

• 0.04

• 125^-1

• 15^0

Number 1: 0.2

Express as fraction

1/5

Apply the power rule of indices

5^-1

Number 2: 0.04

Express as fraction

1/25

Express 25 as 5^2

1/5^2

Apply the power rule of indices

5^-2

Number 3: 125^-1

Express as fraction

1/125

Express 125 as 5^3

1/5^3

Apply the power rule of indices

5^-3

Number 4: 15^0

Evaluate the exponent

15^0 = 1

Express 1 as 5^0

15^0 = 5^0

Hence, the numbers as a power of 5 are 5^-1, 5^-2, 5^-3 and 5^0