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kykrilka [37]
3 years ago
5

Factor

e="{m}^{2} - 5mn + 30 {n}^{2} " alt="{m}^{2} - 5mn + 30 {n}^{2} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
ANEK [815]3 years ago
3 0
This equation cannot be factorized.
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A medium can of tomato juice costs $0.92 and contains 46 ounces of tomato juice. A large can of tomato juice costs $3.60 and con
vlada-n [284]

Answer:

The medium-sized can is the cheaper by the oz, and is $0.005 per oz. cheaper.

Step-by-step explanation:

Medium can:  $0.92/(46 oz) = $0.020/oz

Large can:   $3.60 / (144 oz) = $0.025/oz

Surprisingly, the medium can price per oz. is lower than that of the large can.  The difference is $0.005 per oz.


6 0
4 years ago
HELP PLS FOR BRAINLIEST!
igomit [66]

Answer:

Electric force = 8.20x10⁻⁸ N

Gravitational force = 3.61x10⁻⁴⁷ N

Step-by-step explanation:

1. The electric force can be found using the following equation:

F_{e} = \frac{Kq_{e}q_{p}}{d^{2}}

Where:

K: is the Coulomb's constant = 9x10⁹ N.m²/C²      

q_{p}: is the charge of the proton = 1.6x10⁻¹⁹ C

q_{e}: is the charge of the electron = -1.6x10⁻¹⁹ C

d: is the distance = 5.3x10⁻¹¹ m

Hence, the magnitude of the electric force is:

|F_{e}| = \frac{9\cdot 10^{9} N.m^{2}/C^{2}*(-1.6\cdot 10^{-19} C)*1.6 \cdot 10^{-19} C}{(5.3 \cdot 10^{-11} m)^{2}} = 8.20 \cdot 10^{-8} N                

2. The gravitational force can be calculated as follows:

F_{g} = \frac{Gm_{e}m_{p}}{d^{2}}

Where:

m_{e}: is the electron's mass = 9.1x10⁻³¹ kg

m_{p}: is the proton's mass = 1.67x10⁻²⁷ kg

G: is the gravitational constant = 6.67x10⁻¹¹ N.m²/kg²

Therefore, the gravitational force is:

F_{g} = \frac{6.67 \cdot 10^{-11} N.m^{2}/kg^{2}*9.1 \cdot 10^{-31} kg*1.67 \cdot 10^{-27} kg}{(5.3 \cdot 10^{-11} m)^{2}} = 3.61 \cdot 10^{-47} N

As we can see, the gravitational force is much less than the electric force.

I hope it helps you!                                                      

5 0
3 years ago
We have a shape that has an area of 112 inches squared. Convert the units to centimeters squared. (HINT: Perform multiple conver
Andre45 [30]
<h3>Answer: 722.5792 square centimeters</h3>

Work Shown:

112 \text{ in}^2 = 112 \text{ in}^2 \times \frac{2.54 \text{ cm}}{1 \text{ in}} \times \frac{2.54 \text{ cm}}{1 \text{ in}}\\\\112 \text{ in}^2 = (112 \times 2.54 \times 2.54) \text{ cm}^2\\\\112 \text{ in}^2 = 112 \times (2.54)^2 \text{ cm}^2\\\\112 \text{ in}^2 = 722.5792 \text{ cm}^2\\\\

Notes:

  • 1 inch = 2.54 cm exactly
  • The conversion factor \frac{2.54 \text{ cm}}{1 \text{ in}} is used to convert from inches to cm. The inches unit in the denominator cancels with one of the inches unit from the original 112 square inches figure.
  • We use two identical copies of the same conversion factor to convert from square inches to square centimeters. This is the "multple conversion" your teacher is referring to.
  • Think of "square inches", aka \text{in}^2, as "inches times inches". Or think of a 1 inch by 1 inch square that has an area of 1 square inch. The same applies for the square centimeter unit as well.
5 0
2 years ago
Help! Will give branliest!!
sergey [27]

Hello from MrBillDoesMath!

Answer:

sin(A) =   k/c

sin(C) =   k/a

Discussion:

By definition of sine ,

sin(A) = side opposite angle / hypotenuse  =  k/c

sin(C) = side opposite angle/ hypotenuse =  k/a

Added remark:

From the first equation, k = c sin(A). From the second equation k = asin(C). Hence.

asin(C) = csin(A)                => divide both sides by "ac"

sin(C)/ c = sin(A)/a          

Which is the law of sines for a triangle.

Thank you,

MrB

4 0
3 years ago
I NEED HELP ON 1-5 PLEASE HELP I REALLY WOULD APPRECIATE IT!!
Angelina_Jolie [31]

Answer:

-4

Step-by-step explanation:

If there is 1-5 then we should do – from last I mean we should do -5-1 you will not understand like this I will show you by sep wise step

= -5

-1

————

ans -4

If you will not understand Look here when there will be -5-4 then what should we do? There is -5-4 So we should do –

If there is -4+2 then you don't know how to do it. So note this: + × + = +

+ × - = -

- × + = -

I know this much only. If you have more doubt then ask for your Maths teacher.

  • <em>Thankyou</em>❤❤❤
8 0
3 years ago
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