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3 years ago

N(17+x)=34x-r solve for x

Mathematics

2 answers:

Alenkinab [10]3 years ago

6 0

Step-by-step explanation:

$N(17+x)=34x-r\\17N+Nx=34x-r\\Nx-34x=-r-17N\\x(N-34)=-r-17N\\x=\frac{-r-17N}{N-34}$

DochEvi [55]3 years ago

3 0

Answer: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

$x = -\frac{17N+r}{N-34}$

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You have 8,640 grams of a radioactive kind of cesium. If its half-life is 30 years, how much

Vikki [24]

The mass of cesium left afer 120 years if the original mass of cesium is 8640 with an half-life of 30 years, is 540 grams.

This can be defined as the time taken for half the amount of a radioactive substance to decay.

To calculate the amount of cesium left after 120 years, we use the formua below.

Formula:

R' = R/( $2^{T/t}$ )............. Equation 1

Where:

R = Original amount of Cesium
R' = New amount of cesium
T = Total time
t = Half-life

From the question,

Given:

R = 8640
T = 120 years
t = 30 years

Substitute these values into equation 1

R' = 8640/( $2^{120/30}$ )
R' = 8640/ $2^{4}$
R' = 8640/16
R' = 540 grams.

Hence, The mass of cesium left afer 120 years is 540 grams.

Learn more about half-life here: brainly.com/question/25750315

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2 years ago

Felix and Oscar are standing on a tower that is 112 feet high. Felix drops his penny while Oscar throws his penny down and it hi

creativ13 [48]

Answer:

It will take<u> 2.64 s</u> for Felix's penny to hit the ground.

Initial velocity of Oscar's penny is <u>7.27 m/s or 23.85 ft/s</u>

Step-by-step explanation:

Given:

Height of the tower is, $h=112\ ft$

Felix drops the penny while Oscar throws his penny.

Time taken by Oscar's penny to reach ground is, $t_o=2\ s$

Now, as Oscar throws his penny, there will be some initial velocity of his penny. Let the initial velocity of his penny be $u_o$ .

As the penny is falling vertically, acceleration of the penny is due to gravity and is equal to -9.8 m/s².

Now, displacement of the penny is equal to the height of the tower = -112 ft = -34.14 m (1 ft = 0.3048 m)

Using equation of motion,

$y=u_ot+\frac{1}{2}at_o^2\\\\-34.14=2u_o-\frac{1}{2}\times9.8\times 2^2\\\\-34.14=2u_o-19.6\\\\2u_o=-34.14+19.6\\\\2u_o=-14.54\\\\u_o=\frac{-14.54}{2}=-7.27\ m/s$

Now, 1 m/s = 3.28 ft/s

So, 7.27 m/s = $7.27\times 3.28 = 23.85\ ft/s$

Therefore, the initial velocity of Oscar's penny is 7.27 m/s or 23.85 ft/s in the downward direction.

Now, Felix drops the penny. So, initial velocity of Felix's penny is 0 m/s.

Displacement of the penny is same and equal to -112 ft = -34.14 m

Using the same equation of motion,

$y=ut+\frac{1}{2}at^2\\\\-34.14=0-\frac{1}{2}\times9.8\times t^2\\\\-34.14=-4.9t^2\\\\t^2=\frac{-34.14}{-4.9}\\\\t=\sqrt{\frac{-34.14}{-4.9}}\\\\ t=2.64\ s$

Therefore, time taken by Felix's penny to reach ground is 2.64 s.

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4 years ago

X+6y+3z=4<br> 2x+y+2z=3<br> 3x-2y+z=0

Natali [406]

Answer:

What is the question?

Step-by-step explanation:

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3 years ago

Following a severe snowstorm, Ken and Bettina Reeves must clear their driveway and sidewalk.Ken can clear the snow by himself i

bija089 [108]

Determine how much of the job they have finished by calculating:

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So, they have 1/6 of the job to go.

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t/4 + t/6 = 1/6

Multiply all by 12 (the LCD) and get

3t + 2t = 2

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Understand?

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4 years ago

Find slope and equation of a line that is parallel to the x axis passing through the point (-4,8)

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If the line is parralell to the x axis then take the y coordinate of your point and thats the equation y=8 since its a horizontal line it has a slope of 0. just remember the acronym HOY VUX; Horizontal 0 y=; Vertical undefined x=

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3 years ago