All categories

3 years ago

A physicist working in a large laboratory has found that light particles traveling in a particle accelerator

Mathematics

1 answer:

Tomtit [17]3 years ago

8 0

The particle will reach 50 km/hr when x = 32.25 hours

Step-by-step explanation:

A physicist working in a large laboratory has found that light particles

traveling in a particle accelerator increase velocity in a manner that

can be described by the linear function - 4 x + 3 y = 21, where

x is the time in hours
y is the velocity in kilometer per hour

We need to find when a certain particle will reach 50 km/h

∵ - 4 x + 3 y = 21 is a linear function

∵ x represents the time (number of hours)

∵ y represents the velocity in km/h

∵ The velocity of a particle will reach 50 km/h

- Substitute y by 50 in the function above

∴ - 4 x + 3(50) = 21

∴ - 4 x + 150 = 21

- Subtract 150 from both sides

∴ - 4 x = -129

- Divide both sides by -4

∴ x = 32.25 hours

The particle will reach 50 km/hr when x = 32.25 hours

Learn more:

You can learn more about word problems in brainly.com/question/9533500

#LearnwithBrainly

You might be interested in

A pollster obtains a list of all the residential addresses in a certain town, and uses a computer random number generator to cho

Margaret [11]

Answer:

Cluster sampling.

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

People divided into groups, by households.

Each member of the households(group) is surveyed, so cluster sampling.

6 0

3 years ago

What is the 5% sales tax on a $14.00 compact disc

natima [27]

5% sales tax would be $0.70

4 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!!!!!!!!!!!!! NUMBER 3

Hunter-Best [27]

Answer:

Step-by-step explanation:

200 ÷ 7 = 27

<em>good luck, i hope this helps :)</em>

6 0

3 years ago

-6, -6) and (-2, -2)<br> Find the rate of change of the line that passes through the points.

Kamila [148]

Rate of change of line that passes through the given points is 1

Step-by-step explanation:

The ratio of vertical and horiontal changes is called the rate of change of a line. It is called slope which is denoted by m.

The formula for slope when (x1,y1) and (x2,y2) are the points on line is given by:

$m = \frac{y_2-y_1}{x_2-x_1}\\$

Given

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

(x2,y2) = (-2,-2)

Putting the values in the formula

$m = \frac{-2-(-6)}{-2-(-6)}\\=\frac{-2+6}{-2+6}\\=\frac{4}{4}\\= 1$

Rate of change of line that passes through the given points is 1

Keywords: Slope, rate of change

Learn more about rate of change at:

#LearnwithBrainly

5 0

3 years ago

Who is right and wrong and why?

Serggg [28]

Ben is right, you must add 25 not subtract it

5 0

3 years ago

Read 2 more answers