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3 years ago

Find the value of a and b

Mathematics

1 answer:

AnnyKZ [126]3 years ago

5 0

Answer:

1/4 is correct answer

Step-by-step explanation:

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martin pidio 1/8 de kg de clavos de 1/2 pulgada si la bascula es digital y pesa en kilogramos ¿cuantos tienes q marcar en este c

love history [14]

Martin will have to mark 0.125 on the

Let the original weight of the scale be 1kg. Hence we can say the original mark for 1kg weight is 1 that is:

1kg = 1 ................ 1

Since we are to calculate where to mark for a 1/8 kg weight, we can write;

1/8 kg = x ..................2

Divide both expressions

$\frac{1}{1/8}= \frac{1}{x}\\\\Cross \ multiply\\8= \frac{1}{x} \\x = \frac{1}{8}$

This means Martin will have to mark 0.125 on the scale.

Learn more here: https://brainly.lat/tarea/13002863

3 0

3 years ago

Let ρ = x3 + xe−x for x ∈ (0, 1), compute the center of mass.

hram777 [196]

The center of mass is mathematically given as

$\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$

<h3>What is the center of mass.?</h3>

Determine the center of mass in one dimension:

Represent the masses at the respective distances.

$\begin{|c|c|} Masses \ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ Located at \\\rho=x^{3}+x \cdot e^{-x} & \ \ \ \ x \in(0,1)$ \\\end$

We calculate the total mass of the system.

$\begin{aligned}m &=\int_{0}^{1} \rho \cdot d x \\& m =\int_{0}^{1}\left(x^{3}+x \cdot e^{-x}\right) \cdot d x \\&m =\left|\frac{x^{4}}{4}-(x+1) e^{-x}\right|_{0}^{1} \\&m =\left(\frac{5}{4}-\frac{2}{e}\right)\end{aligned}$

Step 03: Calculate the moment of the system.

$\begin{aligned}M &=\int_{0}^{1}(\rho \cdot x) \cdot d x \\& M=\int_{0}^{1}\left(x^{4}+x^{2} \cdot e^{-x}\right) \cdot d x \\&M =\left|\frac{x^{5}}{5}-\left(x^{2}-2 x+2\right) \cdot e^{-x}\right|_{0}^{1} \\&M=\left(\frac{11}{5}-\frac{5}{e}\right)\end{aligned}$

we calculate the center of mass.

$\begin{aligned}\bar{x} &=\left(\frac{M}{m}\right) \\& \bar{x}=\left\{\left(\frac{\left.11-\frac{5}{5}\right)}{\left(\frac{5}{4}-\frac{2}{e}\right)}\right\}\right.\\& \bar{x}=\left(\frac{11 e-25}{5 e}\right) \cdot\left(\frac{4 e}{5 e-8}\right) \\&\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$

Read more about the center of mass.

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8 0

2 years ago

Write the equation of the circle whose center is (-4,8) and has a diameter of 18

svetoff [14.1K]

Answer:

(x + 4)^2 + (y - 8)^2 = 81

(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.

Step-by-step explanation:

The standard form for a circle is

(x + h)^2 + (y + k)^2 = r^2

r is the radius.

You are given the diameter

r = d/2

r = 18/2

r = 9

So you already have the right hand side of the equation

(x + h)^2 + (y + k)^2 = 9*2

(x + h)^2 + (y + k)^2 = 81

You basically have h and k as well. They come from the center point.

h = 4

k = - 8

So the equation of the circle (and the answer) is

(x + 4)^2 + (y - 8)^2 = 81

One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.

It is the distance formula that is actually the formula for the circle.

6 0

3 years ago

How to write 19,000+400+1+60=

zloy xaker [14]

Answer: 19,461

Step-by-step explanation:

Add 19,000+400 get 19,400

Add 19,400+60 and get 19,460 add 1 and get 19,461

8 0

3 years ago

Write 0.216 as a rational number in lowest terms