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victus00 [196]
3 years ago
7

An empty shipping box box weighs 250 grams. The box is filled with T shirts weighs 132.5 grams. The equation W=250+132.5T repres

ent the relation ship between the quantities not the solution, where W is the weighs in grams of the filled box T is the number of shirts in the box. ​. WHAT DOES THE SOLUTION T=8, W=1310 MEAN IN THIS SOLUTION
Mathematics
1 answer:
garik1379 [7]3 years ago
7 0

Answer:

the solution means you can solve for either of the variables when one of the variables is known

Step-by-step explanation:

Given:

W=250+132.5T

Where,

W = weights in grams of the filled box

T = number of shirts in the box

T=8 when W=1310

W=250+132.5T

Substitute T = 8 into the equation

W = 250 + 132.5(8)

= 250 + 1,060

= 1,310

The solution means when number of shirts in the box is 8, the total weight in grams of the filled box is 1,310

It also means you can solve for the number of shirts if weight of the box is given as 1310

W=250+132.5T

1310 = 250 + 132.5T

1310-250 = 132.5T

1,060 = 132.5T

T = 1,060 / 132.5

= 8

T = 8

Therefore, the solution means you can solve for either of the variables when one of the variables is known

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A mass of 5 kg stretches a spring 10 cm. The mass is acted on by an external force of 10sin( t ) N(newtons) and moves in a mediu
yKpoI14uk [10]

Answer:

A) C1 = 0.00187 m = 0.187 cm,  C2 = 0.0062 m = 0.62 cm

B)  A sample of how the graph looks like is attached below ( periodic sine wave )

C) w = \sqrt[4]{3} is when the amplitude of the forced response is maximum

Step-by-step explanation:

Given data :

mass = 5kg

length of spring = 10 cm = 0.1 m

f(t) = 10sin(t) N

viscous force = 2 N

speed of mass = 4 cm/s = 0.04 m/s

initial velocity = 3 cm/s = 0.03 m/s

Formulating initial value problem

y = viscous force / speed = 2 N / 0.04 m/s = 50 N sec/m

spring constant = mg/ Length of spring = (5 * 9.8) / 0.1 = 490 N/m

f(t) = 10sin(t/2) N

using the initial conditions of u(0) = 0 m and u"(0) = 0.03 m/s to express the equation of motion

the equation of motion = 5u" + 50u' + 490u = 10sin(t/2)

A) finding the solution of the initial value

attached below is the solution and

B) attached is a periodic sine wave replica of how the grapgh of the steady state solution looks like

C attached below

3 0
3 years ago
PLEASE HELP ME AND PLEASE BE RIGHT I ALREADY HAVE AN 80 :(
ELEN [110]

Answer:

D

Step-by-step explanation:

When calculating the area of a parallelogram, use the formula A = l*h where length is the longest length and h is the perpendicular height of the shape. For this parallelogram, substitute l = 14 and h = 8.

A = l*w = 14*8 = 112

6 0
3 years ago
The length of each edge of a cube is x centimeters. If x is an integer, why is the volume of the cube not equal to 15m^3?
Nadusha1986 [10]

Suppose the length of each side of the cube is x, so the volume must be:  

x^3.  

If the volume is 15 cm^3, so the length must be cuberoot(15) which is not integer,. So, the volume of the cube with integer side never equal with 15 cm^3

4 0
3 years ago
Store a sells 12 juice bottles for 4 and stor b sells 18 bottles for 6 dollars are they equivalent
patriot [66]

Answer:

Yes

Step-by-step explanation:

They are equivalent because they both have the GCF of 3.                                             3x4=12                            3x6=18


Hope it helps!

8 0
3 years ago
Read 2 more answers
A number cube with faces labeled from 1 to 6 will be rolled once.
kramer

Answer:

\Omega=\{1,2,3,4,5,6\}

A=\{1,2,3,4\}

Step-by-step explanation:

<u>Sample Space</u>

The sample space of a random experience is a set of all the possible outcomes of that experience. It's usually denoted by the letter \Omega.

We have a number cube with all faces labeled from 1 to 6. That cube is to be rolled once. The visible number shown in the cube is recorded as the outcome. The possible outcomes are listed as the sample space below:

\Omega=\{1,2,3,4,5,6\}

Now we are required to give the outcomes for the event of rolling a number less than 5. Let's call A to such event. The set of possible outcomes for A has all the numbers from 1 to 4 as follows

A=\{1,2,3,4\}

3 0
3 years ago
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