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3 years ago

What is the horizontal asymptote for the above function? y=x/x^2-16y=

1 answer:

8 0

$\bf y = \cfrac{\stackrel{\textit{degree of 1}}{x^1}}{\underset{\textit{degree of 2}}{x^2-16}}$ when the degree of the denominator is greater than that of the numerator, the only horizontal asymptote occurs at y = 0.

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Which solid has a greater volume

Triss [41]

Answer:

The volume of cylinder and the volume of a cone, have equal volume measurements. So, the answer is C).

Step-by-step explanation:

Cylinder:

-Use the formula for the volume of a cylinder. Use both the radius and height for the formula in order to solve and get the volume:

$V = \pi r^2 h$

$V = \pi 2^2 6$

-Solve:

$V = \pi 2^2 6$

$V = \pi \times 2^2 \times 6$

$V = \pi \times 4 \times 6$

$V = \pi \times 24$

$V = 24\pi \approx 75.39$

--------------------------------------------------------------------------------------------------------

Cone:

-Use the formula for the volume of a cone and the radius and height for the formula and solve the formula to get the volume:

$V = \frac{1}{3} \pi r^2h$

$V = \frac{1}{3} \pi 3^28$

-Solve:

$V = \frac{1}{3} \pi 3^28$

$V = \frac{1}{3} \times \pi \times 3^2 \times 8$

$V = \frac{1}{3} \times \pi \times 9 \times 8$

$V = \frac{1}{3} \times \pi \times 72$

$V = \frac{1}{3} \pi \times 72$

$V = 24\pi \approx 75.39$

-So, according to the volume of a cylinder and the volume of a cone, They both have the same volume.

Cylinder: $75.39$ $ft^3$

Cone: $75.39$ $ft^3$

5 0

3 years ago

W+w+w+w+w+15-7 I got this wrong on a math question. I did 5w+8 = 13w

Aleonysh [2.5K]

$w+w+w+w+w+15-7=\underbrace{w+w+w+w+w}_5+(15-7)\\\\=5w+8-\text{finish}\\\\\text{You can not add 5w and 8. These are different monomials.}$

Example:

5w - five apples

8 - eight strawberries

5w + 8 = (five apples) + (eight strawberries) = 13 of what?

You can add only numbers of the same fruits.

4 0

3 years ago

Read 2 more answers

There are 47 maple trees currently in the park. Park workers will plant more maple trees today

frozen [14]

Answer:

Step-by-step explanation:

5 0

3 years ago

Find the equation of a parabola with a vertical axis and its vertex at the origin and passing through the point (-2, 3)

vredina [299]

a vertical axis, I assume it means a vertical axis of symmetry, thus it'd be a vertical parabola, like the one in the picture below.

$\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \qquad \leftarrow vertical\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=0\\ k=0 \end{cases}\implies y=a(x-0)^2+0 \\\\\\ \textit{we also know that } \begin{cases} x=-2\\ y=3 \end{cases}\implies 3=a(-2-0)^2+0\implies 3=4a \\\\\\ \cfrac{3}{4}=a~\hspace{10em}y=\cfrac{3}{4}(x-0)^2+0\implies \boxed{y=\cfrac{3}{4}x^2}$

8 0

3 years ago

If the probability of making a 3-point shot is 30%, how many made 3-pointers would you predict the player would make if they sho

Marianna [84]

Answer:

30 three-pointers

Step-by-step explanation:

if u need explanation, lmk and i'll type it in the comments to this question.

8 0

4 years ago

What is the horizontal asymptote for the above function? y=x/x^2-16y=​

What is the horizontal asymptote for the above function? y=x/x^2-16y=