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2 years ago

Solve the sinusoidal equation: 5sin(3x)-1=3

Mathematics

1 answer:

adoni [48]2 years ago

3 0

Answer:

$x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}$

Step-by-step explanation:

$5sin(3x)-1=3$

$5sin(3x)=4$

$sin(3x)=\frac{4}{5}$

$3x=0.92729521+2\pi n,2.21429743+2\pi n$

$x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}$

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8090 [49]

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2 years ago

[20 pts] evaluate the logarithm log(6)1/36, show work pls!

Delvig [45]

Answer:

$\large\boxed{\log_6\dfrac{1}{36}=-2}$

Step-by-step explanation:

$\text{We know:}\\\\\log_ab=c\iff a^c=b\\\\\log_6\dfrac{1}{36}\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\=\log_636^{-1}=\log_6(6^2)^{-1}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\log_66^{(2)(-1)}=\log_66^{-2}\qquad\text{use}\log_ab^n=n\log_ab\\\\=-2\log_66\qquad\text{use}\ \log_aa=1\\\\=-2(1)=-2$

$\log_6\dfrac{1}{36}=-2\ \text{because}\ 6^{-2}=\dfrac{1}{6^2}=\dfrac{1}{36}$

8 0

3 years ago

What is t+8+3t because I’m strugling with it

Tresset [83]

Answer:

t + 8 + 3t

group like terms

t + 3t + 8

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4 0

3 years ago

The popping-times of the kernels in a certain brand of microwave popcorn are normally distributed with a mean of 150 seconds and

RSB [31]

The z-score of the data can be calculated by the formula expressed as follows:

z = ( score - mean ) / standard deviation
z = (126 - 150 ) / 11 = -2.18

A z-Score is a statistical measurement of a score's relationship to the mean in a group of scores. A Z-score of 0 means the score is the same as the mean.

6 0

3 years ago

Read 2 more answers

Please help me with this please and thank you

rjkz [21]

Answer:

Alright so the answer is B but I'll explain why because im nice ig.

Step-by-step explanation:

So lets do some calcumalations.

We'll use 1 as n and should get an output of 3 to check these formulas. Since 1 is the first term and 3 is the first term value makes sense alright.

So 9^1-1 is 0 and any number to the 0 power is 1 so that wont work.

3(4)^1-1 = 3(1); that's the answer

4^1-1 = 1, + 3 = 4 so that wont work either

I hope this helps ya have a great afternoon

8 0

2 years ago