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3 years ago

What is the

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

5 0

The average rate of change is 1.

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Which is the correct answer?

yuradex [85]

Step-by-step explanation:

y = x² - 16

x² = y + 16

x = sqrt(y + 16) because x is non-negative.

Hence the inverse function is f^(-1)(x) = sqrt(x + 16). (A)

4 0

3 years ago

Match the parametric equations with the verbal descriptions of the surfaces by putting the letter of the verbal description to t

alukav5142 [94]

Answer:

1. B

2. C

3. A

4. D

Step-by-step explanation:

The parametric equations of the circular cylinder are:

$x(u,v)=a\cos v\\y(u,v)=a\sin v\\z(u,v)=u$

If the orientation of the cylinder is changed to have the height $u$ along the x-axis, the parametric equations of the cylinder match:

$3. \mathbf{r} \left( u, v \right) = u \mathbf{i} + \cos v \mathbf{j} + \sin v \mathbf{k}$

The parametric equations of the circular paraboloid are:

$x(u,v)=u\cos v\\y(u,v)=u\sin v\\z(u,v)=u^2$

Using the units vectors the parametric equations match:

$1. \mathbf{r} \left( u, v \right) = u \cos v \mathbf{i} + u \sin v \mathbf{j} + u^{2} \mathbf{k}$

The parametric equations of the cone are:

$x(u,v)=au\cos v\\y(u,v)=au\sin v\\z(u,v)=u$

Using the units vectors and rotating the base of the cone from $z=0$ to $x=0$ the parametric equations match:

$2. \mathbf{r} \left( u, v \right) = u \mathbf{i} + u \cos v \mathbf{j} + u \sin v \mathbf{k}$

The equation left is the equation of a plane:

$4. \mathbf{r} \left( u, v \right) = u \mathbf{i} + v \mathbf{j} + \left( 2u - 3v \right) \mathbf{k}$

5 0

3 years ago

A rental car company offers a rental package for a mid-size car. The cost is comprised of a fixed $40 administrative fee for the

Brilliant_brown [7]

Answer:

y=45x+40

Step-by-step explanation:

5 0

3 years ago

Please help ASAP !!!! Will mark Brainliest

AfilCa [17]

Only multiplication and division don't change the ratio that made the order pairs in the bigger picture the triangle. Only one is not congruent. I'm about 90% sure I got it correct.

3 0

3 years ago

In a local car lot, 1/6

Black_prince [1.1K]

Answer: $\dfrac{5}{324}$

Step-by-step explanation:

Given

Probability that car has a standard transmission is $\frac{1}{6}$

So, the probability that the car does not have transmission is

$1-\dfrac{1}{6}=\dfrac{5}{6}$

Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities

$\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}$

7 0

3 years ago