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3 years ago

7

alex and Juana went on a 50 mile canoe trip with their class. on the first day they traveled 21 miles. what percent of the total

distant was that

1 answer:

Solnce55 [7]3 years ago

3 0

To work out percentage, divide what they've done (21) by the total distance (50), then multiply it by 100 to get the percentage
(21/50)*100 = 42%

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Suppose you are given a cube made of magnesium (mg) metal of edge length 2.15 cm. (a) calculate the number of mg atoms in the cu

SVETLANKA909090 [29]

solution:

a) To calculate the volume of cube of edge 1.0cm

Volume= (edge)³

=(100cm) ³

= 1cm³

To find the mass of MG atoms

Density = mass/volume

Mass of mg = 1.74g/cm³ x 1cm³

= 1.74g

To find the number of mg atoms,

Molar mass of mg = 24.31g

24.31g mg contain 6.022 x 10²³ atoms of mg

1.74g mg contain = 6.022 x 10²³mg atoms/24.31g mg x 1.74g mg

= 0.4310 x 10²³mg atoms

= 4.31 x 10²² mg atoms

B) to find the volume occupied by mg atoms

Total volume of cube = 1 cm³

Volume occupied by mg atoms

= 74% of 1cm³

=74/100 x 1cm³= 0.74cm³

To find the volume of 1 mg atom

4.31 x 10²² mg atoms occupy 0.74 cm³

1 atom will occupy 0.74cm³

1 atom will occupy = 0.74cm³/4.31 x 10²²mg atoms x 1mg atom

volume of 1 mg atom = 0.1716 x 10⁻²²cm²

Volume of 1 mg atom = 4/3 π³ in the form of sphere.

4/3πr³ = 0.1716 x 10⁻²²cm³

R³ = 0.1716 x 10⁻²²cm³x 4/3 x 7/22

R³ = 0.04095 x 10⁻²²cm³

R = 0.1599 x 10⁻⁷cm

1 = 10⁻¹⁰cm

= 0.1599 x 10⁻⁷cm

= 1pm/1 x 10⁻¹⁰cm x 0.1599 x 10-7cm

= 1.599 x 10² pm

R= 1.6 x 10²pm

3 0

3 years ago

Help:) Factor f(x) = 4x^3+ 23x^2- 70x + 16 into linear factors given that - 8 is a zero of f(x).

Charra [1.4K]

Answer:

(x + 8)(x - 2)(4x - 1)

Step-by-step explanation:

Given that x = - 8 is a zero then (x + 8) is a factor

Divide f(x) by (x + 8) using Synthetic division

- 8 | 4 23 - 70 16

↓ - 32 72 - 16

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

4 - 9 2 0

Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)

Thus

f(x) = (x + 8)(x - 2)(4x - 1)

8 0

3 years ago

Please help me understand the question

Sholpan [36]

Answer:

○ $\displaystyle \textcolor{black}{C.}\:triangle$

Explanation:

This is a triangular prism. Its faces are triangular, but the <em>lateral</em><em> </em>faces are rectangular. All prisms will have lateral faces shaped as rectangles. Do not <em>ever</em> forget this.

I am joyous to assist you at any time.

3 0

2 years ago

Let x be normal distribution with mean 70 and standard deviation 2. given the following probability, p (x < a) = 0.9147, find

lapo4ka [179]

The value of a is 72.74.

<h3>What is Probability ?</h3>

Probability is the study of likeliness of an event to happen.

It is given that

The mean $\rm \mu$ of the distribution is 70

Standard deviation $\rm \sigma$ is 2

p( x<a) = 0.9147

a = ?

From Z table

For p ( p < 0.9147) , z = 1.37

$\rm Z = \dfrac { X - \mu}{ \sigma}$

$\rm \rm 1.37 = \dfrac { a - 70}{ 2}$

a = 70+ 2*1.37

a = 72.74

Therefore the value of a is 72.74.

To know more about Probability

brainly.com/question/11234923

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6 0

2 years ago

What is an equation in point slope form of the line that passes through the point (6,-2) and had a slope of 3

ch4aika [34]

Answer:

y - 6 = 3(x + 2)

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Given: m(slope) = 3, (6, -2)

(x1, y1) = (6, -2)

Input the given values of the slope and the point into the equation for point-slope form:

y - (-2) = 3(x - 6)

y + 2 = 3(x - 6)

The equation written in point-slope form is: y + 2 = 3(x - 6)

7 0

3 years ago