Find (a) the fourth partial sum and (b) the sum of the infinite series. $\sum_{i=1}^{\infty} \frac{6}{10^{i}}$

Cada persona dice de quién son las cosas. Completa las oraciones.

1. Es mi toalla. Es BLANK
2. Es tu sillón. Es BLANK
3. Son mis zapatos. Son BLANK
4. Son tus llaves. Son BLANK
5. Es nuestro teléfono. Es BLANK
6. Es su blusa. Es BLANK
7. Son sus útiles escolares. Son BLANK
8. Son nuestras mascotas. Son BLANK

Determine if the lengths can form a triangle. 87, 35, 41

Is every isosceles triangle equilateral? Is every equilateral triangle isosceles? Explain.

A point located on the second hand of a large clock has a radial acceleration of 0.1 cm/s². How far is the point from the axis of rotation of the second hand?

For each function, find $f(-5), f(-3), f(\frac{1}{2}),$ and $f(4).$ $f(x) = 2x – 3$

Use the angle-conversion capabilities of a graphing utility to convert the angle measure to decimal degree form. Round your answer to three decimal places, if necessary. $-125^{\circ} 36^{\prime \prime}$

Solve each equation. Check your answer. 4m=10

Graph each linear function using the slope and y-intercept.

$$f ( x ) = \frac { 2 } { 3 } x - 4$$

What is the sum of the measures, in degrees, of the Interior angles of an octagon?

Any set of three positive integers that satisfies the equation

$$a ^ { 2 } + b ^ { 2 } = c ^ { 2 }$$

is a Pythagorean triple. Determine whether each set of numbers is a Pythagorean triple. 13, 84, 85

An equation of an ellipse is given. (a) Find the vertices, foci, and eccentricity of the ellipse. (b) Determine the lengths of the major and minor axes. (c) Sketch a graph of the ellipse.

$$2 x ^ { 2 } + y ^ { 2 } = 4$$

A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of 2 ft/s, how fast will the foot be moving away from the wall when the top is 5 ft above the ground?

Find each product.

$$\left( x ^ { 2 } y ^ { 2 } - 5 \right) ^ { 2 }$$