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2 years ago

12

Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate the sum of the se

ries with an error of less than 0.0001.

1 answer:

Zanzabum2 years ago

6 0

Answer:

yeyyyaya

Step-by-step explanation:

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En un vecindario, un camión de helados pasa cada 8 días y un food truck pasa cada dos semanas, hoy se juntó ambos, ¿en cuántos d

aleksandr82 [10.1K]

This is the question in English. In a neighborhood, an ice cream truck passes every 8 days and a food truck passes every two weeks, today both came together, in how many days will they get back together?

Answer / Respuesta:

Spanish: La respuesta sería 56 días más.

English: The answer would be 56 more days.

Step-by-step explanation: / Explicación paso a paso:

English: The first time they meet would be at 56 days. So it would be 56 more days until they meet again.

Spanish ( Español): La primera vez que se reúnan sería a los 56 días. Así que pasarían 56 días más hasta que se vuelvan a encontrar.

4 0

2 years ago

2(x/8 + 3) = 7 + 1/4x what is x

malfutka [58]

Answer:

x1 = 2 - $\sqrt{5}$

x2= 2 + $\sqrt{5}$

Step-by-step explanation:

x/4 + 6 = 7 + 1/4x

(x^2 - 1)/4x = 1

x^2 - 1 = 4x

x^2 - 4x -1 = 0

x= (4+ $\sqrt{20}$ )/2 = 2 - $\sqrt{5}$

x= 2 + $\sqrt{5}$

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2x%7D%20%2B%2012%20%3D%20x%20%2B%208%20" id="TexFormula1" title=" \sqrt{2x} + 12

Helga [31]

First note that $x\ge0$ ; otherwise $\sqrt{2x}$ is undefined as long as we're only looking for real solutions.

We can write

$\sqrt{2x}+12=x+8$
$\sqrt{2x}=x-4$
$2x=(x-4)^2$
$2x=x^2-8x+16$
$x^2-10x+16=0$
$(x-8)(x-2)=0$

$\implies x=8,x=2$

4 0

2 years ago

The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his

steposvetlana [31]

The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>

<em><u>Recall:</u></em>

Volume of a spherical shape = $\frac{4}{3} \pi r^3$

Volume of a rectangular prism = $l \times w \times h$

<em><u>Given:</u></em>

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

First, find the volume of the basketball:

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\$

Volume of basketball = $448.92 $ in^3$

Convert to $ft^3$

$1728 $ in.^3 = 1 $ ft^3$

<em>Therefore,</em>

Volume of basketball = $\frac{448.92}{1728} = 0.26 $ ft^3$

Find the volume of the office (rectangular prism):

Volume of the office = $20 \times 18 \times 12 = 4,320 $ ft^3$

Number of basket ball that will fill the office = Volume of office / volume of basketball

<em>Thus:</em>

Number of basket ball that will fill the office = $\frac{4,320}{0.26} = 16,615$

Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.

Learn more here:

brainly.com/question/16098833

6 0

2 years ago

How could Brent use a rectangle to model the factors of x2 – 7x + 6?

Crank

<span> He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.</span>

6 0

2 years ago

Read 2 more answers