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3 years ago

Plz help me I need the answer by today.

Mathematics

2 answers:

Kobotan [32]3 years ago

6 0

Answer:

x=5/3, and x=-1

Step-by-step explanation:

The absolute value sign makes anything inside of it positive. So there are two possible x values for this problem. When we open the absolute value brackets we need to create two different equations. 3x-1=4, and 3x-1= -4. Solving these two equations we can find two possible values of x. x equals 5/3, and -1.

Musya8 [376]3 years ago

4 0

your answer is x=1

hope this helps!:)

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Prove that sinxtanx=1/cosx - cosx

maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

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$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

5 0

3 years ago

A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting

s344n2d4d5 [400]

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

12 resistors, which means that $N = 12$

3 defective, which means that $k = 3$

4 are selected, which means that $n = 4$

To find an specific probability, that is, of x defectives:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}$

7 0

3 years ago

Karen wanted to measure the height of her school's flagpole. She placed a mirror on the ground 44 ft from the flagpole, and then

Shalnov [3]

Answer:140

Step-by-step explanation:

4 0

3 years ago

Thank you so much!! If u get this right I'll mark you!

Semenov [28]

Hi! I hope you are having a great day! So looking here at this question I do so humbly believe that your answer is Number to and or B. all numbers Less than 7. <em>(seven) ==> ♥</em>

Explanation for Q.A.:

The sign is to the right (<)
If x = < 7 then it is evidently going to be B. (LOL)
You are, Awesome! and I am to so yea... It is going to be right! trust me.

I hope that this is helpful to you! I also pray that you get a 100% Good luck.`♥

4 0

3 years ago

PLEASE ANSWER THIS ASAP ASAP

Alex

12 = 15 (z - 1/5)

12 = 15z - 3

+3 +3

15 = 15z

15 (÷ 15) = 15z (÷ 15)

1 = z

Hope I helped!!! :)

8 0

3 years ago