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3 years ago

Please help me solve “Expand log3 4x”

Mathematics

1 answer:

castortr0y [4]3 years ago

4 0

Answer:

Look below.

Step-by-step explanation:

Log3^4x

4xLog3 ------> To expand you would take the exponent and put infront of Log

This is the answer if its expanded. The question was sort of scarce so if this is wrong im sorry.

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Angle θ is in standard position. if sin(θ) = − 1 3 , and π < θ < 3π 2 , find cos(θ).

kramer

The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.

<h3>What is trigonometry?</h3>

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Angle θ is in standard position.

If sin(θ) = − 1/3 , and π < θ < 3π/2

Then the angle will be

$\theta = \sin ^{-1}\dfrac{-1}{3}\\\\\theta = -19.47$

Then add 180 degrees, then we have

$\theta = -19.47 + 180\\\\\theta = 160.52$

Then the value of the cosine will be

$\cos 160.52^o=-0.9428$

More about the trigonometry link is given below.

brainly.com/question/22698523

7 0

3 years ago

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Consider parent function f(x)=e^x and the transformes function g(x)= -1/2e^3x+4, quantitatively explain the transformations to t

kolezko [41]

Answer: reflection across the x-axis

vertical shrink by a factor of 1/2

horizontal shrink by a factor of 1/3

vertical shift up 4 units

<u>Step-by-step explanation:</u>

$\text{Note:}\ g(x) = -Ae^{Bx-C}+D\\\bullet \quad \text{- represents a reflection across the x-axis}\\\\\bullet \quad \text{A represent a vertical stretch by a factor of A (shrink if}\ |A| < 1)\\\\\bullet \quad \text{B represents a horizontal stretch by a factor of}\ \dfrac{1}{B}\ (\text{shrink if}\ |B| >1) \\\\\bullet \quad \text{C represents a horizontal shift of C units}\ (\text{+ is right, - is left}) \\\\\bullet \quad \text{D represents a vertical shift of D units}\ (\text{+ is up, - is down})$

$\text{Parent function:}\ f(x)=e^x\\\text{Transformed function:}\ g(x)=-\dfrac{1}{2}e^{3x}+4\\$

The transformed function has the following:

Negative: reflection across the x-axis

A = 1/2 vertical shrink by a factor of 1/2

B = 3 horizontal shrink by a factor of 1/3

C = 0 no horizontal shift

D = 4 vertical shift of 4 units up

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3 years ago

What is 39 x (15÷3) - 16 using pemdas

Pavel [41]

Answer:

179

Step-by-step explanation:

39*(15/3)-16

39*5-16

195-16

179

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