What is the value of the expression when x=3?
4x - 4x + x*

Answer:

[tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]

Option A is correct.

Step-by-step explanation:

We need to find equivalent of [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]

First we solve [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]

We get [tex]-\frac{1}{\sqrt{3} }[/tex]

Now checking all the options.

Option A: [tex]tan\:(-\frac{\pi}{6} )[/tex]

Solving [tex]tan\left(-\frac{\pi }{6}\right)\: we\: get\: \mathbf{ -\frac{1}{\sqrt{3} }}[/tex]

Option B: [tex]tan\left(\frac{7\pi }{6}\right)[/tex]

Solving [tex]tan\left(\frac{7\pi }{6}\right)\: we\: get\: \mathbf{\frac{1}{\sqrt{3} }}[/tex]

Option C: [tex]cot\left(\frac{5\pi }{6}\right)[/tex]

Solving [tex]cot\left(\frac{5\pi }{6}\right)\:we\:get\:\mathbf{-\sqrt{3} }[/tex]

Option D : [tex]tan\left(-\frac{5\pi }{6}\right)[/tex]

Solving [tex]tan\left(-\frac{5\pi }{6}\right) \:we\:get:\mathbf{\frac{1}{\sqrt{3} } }[/tex]

So, looking at the options, only Option A has the same result as given question

So, [tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]

Option A is correct.

Answer:

The value of k is -4 and the equation of the line is [tex]y =-\frac{1}{2}\cdot x +10[/tex].

Step-by-step explanation:

The equation of the line is defined by the following formula:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]b[/tex] - y-Intercept.

[tex]m[/tex] - Slope.

In addition, the slope of the equation of the line ([tex]m[/tex]) can be known from two distinct points:

[tex]m = \frac{y-y_{o}}{x-x_{o}}[/tex] (2)

Where [tex]x_{o}[/tex] and [tex]y_{o}[/tex] are the coordinates of the reference point.

By applying (2) in (1), we derive the resulting expression:

[tex]y = \frac{y-y_{o}}{x-x_{o}}\cdot x + b[/tex]

[tex]y\cdot (x-x_{o}) = (y-y_{o})\cdot x + b\cdot (x-x_{o})[/tex]

[tex]x\cdot y -y\cdot x_{o} = x\cdot y -x\cdot y_{o}+b\cdot x -b\cdot x_{o}[/tex]

[tex](b-y)\cdot x_{o} = b\cdot x -x\cdot y_{o}[/tex]

[tex](b-y)\cdot x_{o} +x\cdot y_{o} = b\cdot x[/tex] (3)

If we know that [tex]b = 10[/tex], [tex]x = 2[/tex], [tex]y = 9[/tex], [tex]x_{o} = k+10[/tex] and [tex]y_{o} = -2\cdot k -1[/tex], then the value of [tex]k[/tex] is:

[tex](10-9)\cdot (k+10)+2\cdot (-2\cdot k -1) = (10)\cdot (2)[/tex]

[tex]k+10 -4\cdot k -2 = 20[/tex]

[tex]-3\cdot k +8 = 20[/tex]

[tex]-3\cdot k = 12[/tex]

[tex]k = -4[/tex]

The value of the slope is:

[tex]m = \frac{9-7}{2-6}[/tex]

[tex]m = -\frac{1}{2}[/tex]

The equation of the line is [tex]y =-\frac{1}{2}\cdot x +10[/tex].

Answer:

-7x^3+8x^2+x-5

Step-by-step explanation:

We are simply adding the two functions:

f(x) + g(x) = (2x^2-5x^3+x-7) + (6x^2-2x^3+2) = 8x^2-7x^3+x-5 = -7x^3+8x^2+x-5

Answer: =1.34

Step-by-step explanation:

In standard density curve

P(Z<z) = Area left of z, P(Z>z) = area right of z.

P(Z<z) +P(Z>z) =1

Given:  z is a standard normal random variable.

To find : value of z if rea to the right of z is 0.01.

i.e. P(Z>z) =0.01

P(Z<z) =1-0.01 = 0.09

from z-score table, z value for this is 1.34.

Hence, z= 1.34

Answer: Choice A)  Angle-Angle-Side

This abbreviates to AAS.

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Explanation:

AC bisects angle DAB, which tells us that angle DAC and angle CAB are the same measure (in this case, each is 106/2 = 53 degrees).

Because angle DAC = angle CAB, this forms the second "A" of "AAS". The first "A" is due to angle ABC = angle ADC.

The "S" refers to AC = AC by the reflexive property.

"Angle-Angle-Side" shortens to "AAS". Be sure not to mix it up with ASA which is a similar theorem. In the case of AAS, the side is not between the angles mentioned. If we knew that AB = AD, then we could use ASA.

Answer:

(a,m=(-1499/1812, 1/2)

Step-by-step explanation:

hope this helps!

Answer: I fail to reject the Null Hypothesis H₀ and conclude that average energy expenditure is 2100 calories per day.

Step-by-step explanation:

Null Hypothesis H₀ : average energy expenditure is 2100 calories per day

Alt Hypothesis H₁: average energy expenditure is NOT 2100 calories per day

now since

P-value (0.10) > ∝ (0.05),

then he should say;

i fail to reject the Null Hypothesis H₀ and conclude that average energy expenditure is 2100 calories per day.

Answer:

115.6, 114.52, 114.483, 15.305

Step-by-step explanation:

Answer:

115•6 114•483 114•52 15•305

Answer:

The two problems/expressions are the same because of the negative and positive rule.

Step-by-step explanation:

+ - = -

- + = -

- - = +

+ + = +

Answer: 150

Step-by-step explanation:

30% = 0.3

100-30=70

70% = 0.7

0.7 X 500 = 350

500-350 = 150

For every 500 Americans, the number of people  fall asleep before the New Year is, 150

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

30% of Americans will fall asleep before midnight

For every 500 Americans, about how many will be sleeping before the New Year?

Percentage = num. of people fall asleep in sample/Total people in sample ×100

30 = N/500×100

N  = 150

Hence, the number of people fall asleep is 150

To know more about Percentage check:

https://brainly.com/question/29306119

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Answer:

a circle's area is measured in square units Finding the area of a square is easy length times width. A circle though has only a diameter or distance across.

Step-by-step explanation:

Answer:

A

Step-by-step explanation: