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3 years ago

Two coins are tossed at the same time. What is the probability that they will both land tails up ?

Mathematics

1 answer:

maxonik [38]3 years ago

4 0

Answer:

Step-by-step explanation:

If there are 4 coins and two faces on those coins then that means there are 4 faces flipping them both at the same time means it will have a 25% chance of them landing on the same side

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Which statement corrects the error, or errors, in this definition?In a dilation, each point in the pre image and it’s correspond

Serggg [28]

Remember that a dilation stretches or compresses an object based on a given scale factor, therefore, the correct option is C

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2 years ago

What is the unit rate for 4 gallons

svet-max [94.6K]

Answer:

completing the division operation: numerator divided by denominator.

Step-by-step explanation:

If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

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3 years ago

Given that y = sin(x+y),find the derivative when (x,y)=(π,0)

lisov135 [29]

<h2>Answer:</h2>

Shown in the explanation

<h2>Step-by-step explanation:</h2>

Recall that an implicit function is a relation given by the form:

$R(x_{1},\ldots, x_{n})=0$

Where $R$ is a function of two or more variables. In this case, that function is:

$y = sin(x+y)$

and is implicit because we can define it as:

$y-sin(x+y)=0$ having two variables.

So, let's take the derivative:

$\frac{d}{dx}\left(y\right)=\frac{d}{dx}\left(\sin \left(x+y\right)\right) \\ \\$

Applying chain rule:

$\frac{d}{dx}\left(\sin \left(x+y\right)\right)=\cos \left(x+y\right)\left(1+\frac{d}{dx}\left(y\right)\right)$

But:

$\frac{d}{dx}\left(y\right)=y'$

Therefore:

$y'=\cos \left(x+y\right)\left(1+y'\right)$

Isolating $y'$ :

$\frac{d}{dx}\left(y\right)=y'=\frac{\cos \left(x+y\right)}{1-\cos \left(x+y\right)}$

When $(x,y)=(\pi,0)$ :

$\frac{d}{dx}\left(y\right)|_{(\pi,0)}=\frac{\cos \left(\pi+0\right)}{1-\cos \left(\pi+0\right)} \\ \\ \frac{d}{dx}\left(y\right)|_{(\pi,0)}=\frac{\cos \left(\pi\right)}{1-\cos \left(\pi\right)} \\ \\ \frac{d}{dx}\left(y\right)|_{(\pi,0)}=\frac{-1}{1-(-1)} \\ \\ \boxed{\frac{d}{dx}\left(y\right)|_{(\pi,0)}=-\frac{1}{2}}$

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3 years ago

Find the slope of the line that passes through the points (3, -6) and (6, 12).

Svetradugi [14.3K]

The slope of a line is simply a ratio of the change in y-value to the change in x-value
Change in y = y₂ - y₁
= 12 - (-6) = 18
Change in x = x₂ - x₁
= 6 - 3 = 3
Ratio of change in y to change in x = 18/3 = 6
The slope is 6

6 0

3 years ago

Read 2 more answers

MONEY Amanda has $31 in her purse. She pays $6 for lunch. Which expression represents this situation?

anastassius [24]

( B) 31 + ( -6) is the answer

8 0

3 years ago