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3 years ago

Yoooooooooooooooooooooooooooooooo help

Mathematics

2 answers:

DerKrebs [107]3 years ago

8 0

Answer:

8 but more than 6

Step-by-step explanation:

Flura [38]3 years ago

8 0

Answer:

Step-by-step explanation:

The triangle side rule is that the two smaller side have to be added together and be greater than the longest side

6+8=14

so any number that is 14 or more cannot be the other side

Therefore the third side must be less than 14 inches

~MisterMathWiz

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A box contains 75 red and 25 green light bulbs. it is found that 20 bulbs in the box are defective, of which 2 are red. what is

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15 bulbs are red.

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2 years ago

Solve for x. Write the smaller solution first, and the

Leni [432]

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3 years ago

A study shows that 84% of the population of all calculus students consider calculus an exciting subject. Suppose 29 students ar

ratelena [41]

Answer:

P = 0.041553

Step-by-step explanation:

Probability that a student considers calculus exciting. = 0.84

Probability that a student finds calculus not exciting = 0.16

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p = 0.84 and n = 29

The probability of observing 28 or more of the students who consider calculus to be an exciting subject in our sample of 29 is given by:

$\left(\begin{array}{ccc}29\\28\end{array}\right) .0.84^{28} .0.16^{1}+\left(\begin{array}{ccc}29\\29\end{array}\right) .0.84^{29} .0.16^{0}$

P = 0.041553

5 0

3 years ago

Find the directional derivative of the function at the given point in the direction of the vector v. G(r, s) = tan−1(rs), (1, 3)

alexandr1967 [171]

The directional derivative of $f$ at the given point in the direction indicated is $\frac{5}{2}$ .

<h3>How to calculate the directional derivative of a multivariate function</h3>

The directional derivative is represented by the following formula:

$\nabla_{\vec v} f = \nabla f (r_{o}, s_{o})\cdot \vec v$ (1)

Where:

$\nabla f (r_{o}, s_{o})$ - Gradient evaluated at the point $(r_{o}, s_{o})$ .
$\vec v$ - Directional vector.

The gradient of $f$ is calculated below:

$\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{\partial f}{\partial r}(r_{o},s_{o}) \\\frac{\partial f}{\partial s}(r_{o},s_{o}) \end{array}\right]$ (2)

Where $\frac{\partial f}{\partial r}$ and $\frac{\partial f}{\partial s}$ are the partial derivatives with respect to $r$ and $s$ , respectively.

If we know that $(r_{o}, s_{o}) = (1, 3)$ , then the gradient is:

$\nabla f(r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{s}{1+r^{2}\cdot s^{2}} \\\frac{r}{1+r^{2}\cdot s^{2}}\end{array}\right]$

$\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{1+1^{2}\cdot 3^{2}} \\\frac{1}{1+1^{2}\cdot 3^{2}} \end{array}\right]$

$\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right]$

If we know that $\vec v = 5\,\hat{i} + 10\,\hat{j}$ , then the directional derivative is:

$\nabla_{\vec v} f = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right] \cdot \left[\begin{array}{cc}5\\10\end{array}\right]$

$\nabla _{\vec v} f (r_{o}, s_{o}) = \frac{5}{2}$

The directional derivative of $f$ at the given point in the direction indicated is $\frac{5}{2}$ . $\blacksquare$

To learn more on directional derivative, we kindly invite to check this verified question: brainly.com/question/9964491

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2 years ago