Graphs of the following equations are straight lines except :
A. 3x+2y=8
B. y=x/2-5
C. x=4y
D. y=x^2+3

Answer:

Add 16.20+ 40+8

Step-by-step explanation: 16+20+40+8= 84

Answer:

3 1/5

Step-by-step explanation:

24/5 ÷ 3/2

24/5 x 2/3

48/15

16/5

3 1/5

Answer:

I hope this answer is Wright

Answer:

The answer would be approximately 53.976

Step-by-step explanation:

Answer:

53.976

Step-by-step explanation:

I hope this helps!

Answer:

a) True. The differential equation is [tex]\frac{dT}{dt}+0.0004\cdot T = 0.06[/tex], where [tex]T[/tex] is measured in Celsius.

b) The temperature of the object after 200 second inside the microwave is approximately 34.611 ºC.

Step-by-step explanation:

a) The object is heated up by convection and radiation, from First Law of Thermodynamics we get that energy interactions on the object are represented by:

[tex]-\dot Q_{out} + \dot W_{in} = \frac{dU_{sys}}{dt}[/tex] (Eq. 1)

Where:

[tex]\dot Q_{in}[/tex] - Heat transfer rate to the object, measured in watts.

[tex]\dot W_{in}[/tex] - Electric power given by the microwave owen, measured in watts.

[tex]U_{sys}[/tex] - Internal energy of the object, measured in watts.

Then, we expand the expression by means of definition from Heat Transfer and Thermodynamics:

[tex]-h_{c}\cdot A_{s}\cdot (T-T_{\infty})+\dot W_{in} = m\cdot c\cdot \frac{dT}{dt}[/tex]

Where:

[tex]h_{c}[/tex] - Heat transfer coefficient, measured in watts per square meter-Celsius.

[tex]A_{s}[/tex] - Surface area of the object, measured in square meters.

[tex]T[/tex] - Temperature of the object, measured in Celsius.

[tex]T_{\infty}[/tex] - Internal temperature of the microwave oven, measured in Celsius.

[tex]m[/tex] - Mass of the object, measured in kilograms.

[tex]c[/tex] - Specific heat of the object, measured in joules per kilogram-Celsius.

After some algebraic handling, we get this non-homogeneous first order differential equation:

[tex]\frac{dT}{dt} = -\frac{h_{c}\cdot A_{s}}{m\cdot c} \cdot (T-T_{\infty}) + \frac{\dot W_{in}}{m\cdot c}[/tex]

[tex]\frac{dT}{dt}+\frac{h_{c}\cdot A_{s}}{m\cdot c}\cdot T =\frac{h_{c}\cdot A_{s}}{m\cdot c}\cdot T_{\infty}+\frac{\dot W_{in}}{m\cdot c}[/tex] (Ec. 2)

If we know that [tex]h_{c} = 40\,\frac{W}{m^{2}\cdot ^{\circ}C}[/tex], [tex]A_{s} = 0.01\,m^{2}[/tex], [tex]m = 1\,kg[/tex], [tex]c = 1000\,\frac{J}{kg\cdot ^{\circ}C}[/tex], [tex]T_{\infty} = 25\,^{\circ}C[/tex] and [tex]\dot W_{in} = 50\,W[/tex], the differential equation is:

[tex]\frac{dT}{dt}+0.0004\cdot T = 0.06[/tex]

b) The solution of this differential equation is:

[tex]T(t) = T_{o}\cdot e^{-0.0004\cdot t}+ \frac{0.06}{0.0004}\cdot (1-e^{-0.0004\cdot t})[/tex]

Where [tex]T_{o}[/tex] is the initial temperature of the object, measured in Celsius.

[tex]T(t) = T_{o}\cdot e^{-0.0004\cdot t}+150\cdot (1-e^{-0.0004\cdot t})[/tex]

[tex]T(t) = 150+(T_{o}-150)\cdot e^{-0.0004\cdot t}[/tex]

Where [tex]t[/tex] is the time, measured in seconds.

If we know that [tex]T_{o} = 25\,^{\circ}C[/tex], then:

[tex]T(t) = 150-125\cdot e^{-0.0004\cdot t}[/tex] (Ec. 3)

For [tex]t = 200\,s[/tex], we get that temperature of the object is:

[tex]T(200) = 150-125\cdot e^{-0.0004\times 200}[/tex]

[tex]T(200) \approx 34.611\,^{\circ}C[/tex]

The temperature of the object after 200 second inside the microwave is approximately 34.611 ºC.

Answer:

the answer is 12

Step-by-step explanation:

the answer is 12

Answer:

f-1(x)=2x/x-1

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

20 x 12 = 240

Answer:

2 miles.

Step-by-step explanation: Hopefully this helped!

Answer:

1/6 more

Step-by-step explanation:

find the common denominator which gives you 4/6, rest is self explanatory, 5/6 is 1/6 more than 4/6

Answer:

-12r2-9r-6

Step-by-step explanation:

-distribute the subtraction symbol  to the second group of numbers

-(9r2+7r+2) = (-9r2-7r-2)

-then combine each term together (-3r2-2r-4)+(-9r2-7r-2)

= -12r2-9r-6

HOPE THIS HELPS!!

Answer:

$7.38

Step-by-step explanation:

multiply 49.20 by 15 percent.

Answer:

|(15,055) is the number of pages in a book with

15,055 words.

Step-by-step explanation:

becuz the no of pages is a function to the words ..

Answer:

It's might be 2 but I'm not for sure

Answer:

the answer would be 12 minutes

Step-by-step explanation:

Answer:

0.008 3 with bar

Step-by-step explanation:

the line under 8 is supposed to be over 8

i know im late sorry

Answer:

0.0008 ModifyingAbove 3 with bar

Step-by-step explanation:

Answer:

5n+23

Step-by-step explanation:

five times a number is 5n and 23 is +3

Answer:

[tex]\frac{1}{125}[/tex]

Step-by-step explanation:

whenever you see a negative exponenet, you should always write the reciprocal of it

[tex]5^{-3}[/tex] becomes  [tex]\frac{1}{5^{3} }[/tex]

solve the denominator

[tex]5^{3}[/tex] = 125

therefore, your answer is [tex]\frac{1}{125}[/tex]

hope this helps!! :)

Answer:

3

Step-by-step explanation

3 x 2.50 = 7.50

7.50 x 0.06 = 0.45

7.50 + 0.45 = 7.95

So, she would be able to buy 3 sodas and it would cost $7.95

Answer:

1) variables

2)26

3)8x+2y+2

4)38

Answer:

x=32

y=35

Step-by-step explanation:

x= 32 degrees by vertical angles

y= 35

180-90-23-32= 35

< HG =180

<GOE = 23

<EOA = x = 32

<HOC = RIGHT ANGLE = 90

Answer:

A person pushing a swing will make the swing rotate about its pivot.

A worker applies a force to a spanner to rotate a nut.

A person removes a bottle's cork by pushing down the bottle opener's lever.

A force is applied to a door knob and the door swings open about its hinge.

Step-by-step explanation:

2x(x-6)=10

use foil method so 2x times x-6 magiging 2x²-12x

tas yung +10 itratranspose mo magiging -10 kasi kapag nagtratranspose ang positive magiging negative and vice versa, so ang sagot ay

2x²-12x-10=0

a=2

b=-12

c=-10

Answer:

96%

Step-by-step explanation:

20/ 0.80 = 25 (total number of questions)

24/25 = .96 x 100 = 96%

Answer:

Two objects are similar if they have the same shape,or one has the same shape as the mirror image of the other.

Hope that helped :3

Answer:

D: 3x(4+6)

Step-by-step explanation:

it tells you that you need to add 4 and 6 and then multipy the SUM of that by 3. so you would need to have the 4+6 in parenthesis and then multiply the 3 later

Answer:

a. -29

b. 16

c. -6

d. 23

e. ?

f. x = -5

g. x = -24

h. x = 4

i. -29

j. 16 i think

Step-by-step explanation:

Answer:

When you spend $45 or more, you get 3 free songs.

You already spent $15.

Then, if we define m as the amount that you need to spend in order to get the 3 free songs, the minimum value of m will be such that you spend exactly $45 in total.

$15 + m = $45.

But if you spend more than $45 you also get the songs, so the inequality that represents this situation is:

$15 + m ≥ $45.

2)Solving the equation for m we have:

m ≥ $45 - $15 = $30

m ≥ $30.

So the minimum amount that you can spend in order to get the songs is when the equality is true, this means that:

m = $30 is the minimum that you must spend if you want the 3 free songs.