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3 years ago

Please help me asap I need help and I have been sitting here and can't figure it out

Mathematics

2 answers:

sveta [45]3 years ago

7 0

I think your answer is B.

Nuetrik [128]3 years ago

5 0

I believe the answers are A, B and C.

hope it helps

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Use your understanding of the symmetry of the sine and cosine functions to determine the value of tan(−theta) for all

Dmitriy789 [7]

Answer:

$tan(-\theta)=-tan\theta$

Odd function

Step-by-step explanation:

We are given that

$tan(-\theta)$

We have to determine the value of $tan(-\theta)$ and find tangent function is odd,even or neither.

$tan(-\theta)=\frac{sin(-\theta)}{cos(-\theta)}$

$tan\theta=\frac{sin\theta}{cos\theta}$

We know that

$sin(-\theta)=-sin\theta$

$cos(-\theta)=cos\theta$

By using identities

Then, we get

$tan(-\theta)=\frac{-sin\theta}{cos\theta}=-tan\theta$

$tan(-\theta)=-tan\theta$

Odd function: If $f(-x)=-f(x)$

Even function:If $f(-x)=f(x)$

$tan(-\theta)=-tan\theta$

Therefore, function is an odd function.

7 0

3 years ago

Given the relationship x2 + 3y2 =12, with y > 0 and dx, dt = 2 units/min., find the value of dy, dt at the instant y = 1 unit

matrenka [14]

$\bf x^2+3y^2=12\implies \stackrel{chain~rule}{2x\cfrac{dx}{dt}}+3 \stackrel{chain~rule}{\left(2y\cfrac{dy}{dt}\right)}=0
\\\\\\
2x\cfrac{dx}{dt}+6y\cfrac{dy}{dt}=0
\implies 
6y\cfrac{dy}{dt}=-2x\cfrac{dx}{dt}\implies \cfrac{dy}{dt}=\cfrac{-2x\frac{dx}{dt}}{
6y\frac{dy}{dt}}
\\\\\\
\boxed{\cfrac{dy}{dt}=-\cfrac{x\frac{dx}{dt}}{3y}}\\\\
-------------------------------$

$\bf \textit{now, when y = 1, what is \underline{x}?}\qquad x^2+3y^2=12\implies x^2+3(1)^2=12
\\\\\\
x^2=9\implies x=\sqrt{9}\implies x=3\\\\
-------------------------------\\\\
\begin{cases}
y=1\\
x=3\\
\frac{dx}{dt}=2
\end{cases}\implies \cfrac{dy}{dt}=-\cfrac{3\cdot 2}{3\cdot 1}\implies \cfrac{dy}{dt}=-2$

7 0

3 years ago

Lemonade is made by mixing lemon juice and water in the ratio of 2 to 3. How many glasses of lemon juice and water are needed to

Sati [7]

The correct answer is Choice C.

The ratio given is 2 to 3. All of the choices give the total of 15 glass as needed. However, only choice C is also in the ratio of 2 to 3.

6/9 can be reduced to the fraction 2/3 by dividing by 3.

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3 years ago

The mean is usually the preferred measure of central tendency, but there are specific situations in which it is impossible to co

sergey [27]

Answer: a. It is commonly referred to as the arithmetic average.

b. It is algebraically defined (that is, there is an equation you can use to calculate its value).

c. It is easily influenced by extreme scores.

Step-by-step explanation:

The mean is also referred to as the "average" and it is gotten by adding every number and the dividing the value gotten by the number of the numbers used for the calculation.

It should be noted that the mean is algebraically defined and can be easily influenced by extreme scores.

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3 years ago

Find the value of the expression

MArishka [77]

The value would be -35.357.

8 0

3 years ago