Answer:
Atomic mass unit-
It is represented by ‘amu’. It is equal to the quantity 1/12th mass of an atom of C-12.
Actual mass of one atom of C-12 = 1.9924 x 10-23 gm. = 1.9924 x 10-26 Kg.
1 amu = 1.9924 x 10 -23/12 = 1.66 x 10 -24 gm. = 1.66 x 10 -27 Kg.
Atomic mass of an element = mass of one atom of the element / 1 amu
Actual mass of an element = atomic mass of an element in amu x 1.66 x 10 -24 gm.
For ex-
Actual mass of hydrogen atom = 1.008 x 1.66 x 10 -24 gm. = 1.6736 x 10-24 gm.
Actual mass of oxygen atom = 16.00 x 1.66 x 10 -24 gm. = 2.656 x 10-23 gm.
Average Atomic weight (Mass)-
“The Average Atomic Masses of many elements are determined by multiplying the atomic mass of each isotope by its fractional abundance and adding these values and then dividing it by 100.”
Ex.- Naturally occurring carbon contains three isotopes – C12 (98.892 % abundance), C13 (1.108 % abundance), C14 (2 x 10-10 % abundance).The relative atomic masses of these isotopes are 12.000, 13.00335 and 14.00317 amu respectively.
Average atomic mass = % of I isotope x its atomic mass + % of II isotope x its atomic mass +% of III isotope x its atomic mass/100
= 12 x 98.892 + 13.00335 x 1.108 + 14.00317 x 2 x10-10 /100
Average atomic mass= 12.011 amu
Molar volume –
Molar volume of a substance is volume occupied by 1 mole of that substance .
Molar volume of solid or liquid = molar mass / density
Molar volume of ideal gas at 00C or 273 K and 1 atmosphere pressure is 22.4 litre.
Gram atomic mass(weight) or gram atom –
“Gram atomic mass(weight) of an element is the mass of Avogadro number ( 6.023 x 1023 ) of atoms of that elements in grams.”
Ex –
mass of 1 atom of oxygen = 16 amu = 16 x 1.66 x 10-24 gm
Mass of 6.023 x 1023 atoms of oxygen= 16 x 6.023 x 1023 x 1.66 x 10-24 = 16 gm.
Hence, Gram atomic weight of oxygen = 16 gm.
No. of gram atoms = mass of element in gm / atomic mass of element in gm.
A computer store is having a clearance sale. All items are discounted by 35%. What is the sale price of a disc drive that regularly costs $40?
Answer:
$14
Step-by-step explanation:
4. Which of these is a linear pair?
2x+x=180
3x=180
x=180/3
x=60
Round 7,954 to the place named.
Answer:
8.0
Step-by-step explanation:
Answer:
8.0, 7.95, 8.0
Step-by-step explanation:
I don't know how I'm supposed to explain this but um. Yeah those are the answers
If a + b = -3 and ab = -5/2
then find the quadratic equation whose roots
are a and b.
• Sum of zeroes ( a + b ) = -3
• Product of Zeroes ( ab) = -5/2
To find :• The quadratic equation .
Solution :As we know that :
• Quadratic equation
=> x² - ( sum of Zeroes )x + product of zeroes =0
Put the given values :
=> x² - (-3)x + ( -5/2) = 0
=> x² + 3x -5/2 = 0
=> (2x² + 6x -5) / 2 = 0
=> 2x² + 6x -5 = 0
Hence , the quadratic equation is 2x² + 6x -5 .
I hope it will help you.
Regards.
How would I do this?
Which lines are parallel is m∠1 + m∠2 = 180? Justify your answer.
Step-by-step explanation:
i think the correct answer is j // k by the converse of the same side interior angles theorem
I don’t get it !!! Do I multiply by 4 to get the answer? Please show your work!
Answer:
Im not sure. but isnt the answer 15
Step-by-step explanation:
Because to find the shaded amount you would do 3x5 and get 15.
Answer:
I'm not sure tbh but I'm pretty sure the answer is 15
Step-by-step explanation:
Which one of the relationships described is not proportional?
a.
Cedrick earns $9.75 for each day he pet-sits; is the relationship between the money he earns and the days he works proportional?
b.
Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?
c.
The length of the side of a square and its perimeter; is the relationship between the measurements proportional?
d.
A car travels at a constant speed of 35 miles per hour is the relationship between the distance and the time proportional?
Answer:
Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?
Step-by-step explanation:
i just did it
I cannot figure out how to solve this, we did not cover it in class today and it is on tonights homework.
Answer:
x = 32.5
y = 65
Step-by-step explanation:
y = 65 degrees
65 and y are the base angles in an isosceles triangle ( single lines) so they are equal
y+z = 180 since they form a straight line
65+z = 180
z = 180-65
z = 115
The second triangle is also an isosceles triangle so the base angles are the same as shown by x
180 = x+x+z
180 =2x+ 115
65 = 2x
Divide by 2
x = 32.5
david is running a concession stand at a soccer game. he sells nachos and sodas. nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, DAvid made a total of $78.50 and sold a total of 87 nachos and sodas combined
Answer:
so what are you asking
Step-by-step explanation:
Tell whether the set of fractions are equivalent.
Explain why or why 5/7 15/21
Answer:
YESStep-by-step explanation:
[tex]\dfrac{5}{7}=\dfrac{5\cdot3}{7\cdot3}=\dfrac{15}{21}[/tex]
Yes, because you can multiply the numerator and denominator by the same number except 0. The fraction value does not change.
Is this the correct answer? Please someone help!!!
Answer:
yes
Step-by-step explanation:
same slope
Answer:
yes same slope
Step-by-step explanation:
A telephone number has the form NXX-ABC-XXXX. Today N is 2-9, and X is 0-9. However, there are exceptions as 37X and 96X are reserved for future use. Additionally N9X is reserved for expanding the total numbers at a later date. Finally, N11 is reserved for service numbers. How many total area codes are currently available given this information?
Answer:
The total area codes that are currently available is 692.
Step-by-step explanation:
The area code is of the form: NXX.
The variable N can take values,
N = {2, 3, 4, 5, 7, 8 and 9}
The variable X can take values,
X = {0, 1, 2, 3, 4, 5, 7, 8 and 9}
Considering that repetitions are allowed.
The total possible number of area codes is:
T = 8 × 10 × 10 = 800
So, there are 800 possible area codes.
The exception codes are:
{37X, 96X, N9X and N11}
There are 10 possible combinations for 37X.There are 10 possible combinations for 96X.There are 80 possible combinations for N9X.There are 8 possible combinations for N11.So, the number of reserved area codes is, 10 + 10 + 80 + 8 = 108.
Then the area codes that are currently available is, 800 - 108 = 692
Thus, the total area codes that are currently available is 692.
Jamaal is using a photo-editing computer program. He sets up the "F1" key to perform a 20% enlargement in both dimensions. He sets up the "F2" key to increase the picture size by 2cm in both dimensions. Then Jamaal sets up "F3" to do "F1" followed by "F2".
What is the equivalent function for a picture xcm by xcm?
A f3(x)=f2(f1(x))=1.2x+2
B f2 (x)+(fx+f1) (x)=2.2x=2
C f3 (x)=f1(f2(x))=1.2x+2.4
D f3 (x) = (f2 *f1)(x)=1.2x^2+2.4x
Answer:
A f3(x)=f2(f1(x))=1.2x+2
Step-by-step explanation:
The "F1" key is to perform a 20% enlargement in both dimensions. So, first the function F1 increases the dimension x by 20%. That is, our new dimension x' is now the initial dimension plus the increase. The initial dimension is x and the increase is 20% of x = 0.2x. So, x' = x + 0.2x = 1.2x. So, F1(x) = x' = 1.2x
Then, the "F2" key is to increase the picture size by 2cm in both dimensions. So, the function F2 works on x' and add 2 cm to it. So, our new dimension is thus x" = x' + 2.
So F2(x') = x" = x' + 2 = F1(x) + 2
F2(F1(x)) = x' + 2 = 1.2x + 2
F3(x) = F2(F1(x)) = 1.2x + 2
F3(x) = 1.2x + 2.
So, the equivalent function for a picture x cm by x cm is F3(x) = F2(F1(x)) = 1.2x + 2.
The Baltic Sea is almost completely surrounded by countries in Europe. The average depth of the Baltic Sea is 52 meters below the surface. The deepest point in the Baltic Sea is 407 meters lower than this. What is the deepest point in the Baltic Sea relative to the surface?
Answer:
The deepest point in the Baltic Sea relative to the surface is 459 meters.
Step-by-step explanation:
The average depth of the Baltic Sea is:
[tex] d_{1} = 52 m [/tex]
The deepest point in the Baltic Sea is (lower than this):
[tex] d_{2} = 407 m [/tex]
Hence, the deepest point in the Baltic Sea relative to the surface is given by:
[tex] d_{T} = d_{1} + d_{2} = 52 m + 407 m = 459 m [/tex]
Therefore, the deepest point in the Baltic Sea relative to the surface is 459 meters.
I hope it helps you!
A ramp is 50 feet long and has a 6° incline. A second ramp is 30 feet long and runs parallel to the first ramp. To determine the vector representing the shorter ramp, what scalar must be multiplied to the vector representing the first ramp? a scalar less than –1 a scalar between –1 and 0 a scalar between 0 and 1 a scalar greater than 1
Answer:
a scalar between 0 and 1
Step-by-step explanation:
i just took the test on EdG. :)
To determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.
To answer the question, we need to know what scalars and vectors are
What are scalars?These are variables that have only magnitude.
What are vectors?These are variables that have both magnitude and direction.
Now since the first ramp is 50 feet long and has a 6° incline and the second ramp is 30 feet long and runs parallel to the first ramp. We see that the magnitude of the first ramp is greater than that of the second ramp.
So, to obtain a vector representing the second ramp from that of the first ramp, we multiply by a scalar which will be between 0 and 1, since, the magnitude of the first ramp vector is greater than the magnitude second ramp vector.
So, to determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.
Learn more about vectors here:
https://brainly.com/question/25705666
#SPJ2
2(x + 3) = 18
please i need a valid answer I'm in 6th-grade pre-ap so this is seventh-grade math.
Answer:
6
Step-by-step explanation:
2(x+3)=18
2x+6=18
2x=12
x=6
Answer:
x = 6
Step-by-step explanation:
2(x + 3) = 18
2x + 6 = 18
2x = 12
x = 6
Explain how to find the constant of proportionality from a table, graph, or written description. Ready? Enter your answer here.
The constant of proportionality is the slope.
The slope is the change in Y over the change in x. (Y2 -y1) / (x2 -x1)
From a table use two set of values (x,y) subtract two y values from each other and then subtract the two corresponding x values from each other. Depending on the size of the table it’s a Leah a good idea to use the first and last set of values from the table.
From a graph locate two points on the line that you can get an accurate x and y value and subtract the two y values and the two x values: (y2 -y1) / (x2-x1).
From a written description there should be a reference two two different points, using the two referenced point subtract them like in the directions given above.
can someone please help me with this question
Answer:
The area of the circle is 18.84.
Step-by-step explanation:
You multiply pi (3.14) by the radius of the circle, which is 6, to get the area of any circle.
A dealer bought an article for Rs1500 and sold it at 20 percent profit . what was rhe sale price of the article?
pls solve this question i will mark as a brainlist.
[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]
Given that , a dealer bought an article for Rs 1500 and sold it at a profit of 20% .
So , here ,
Cost price of the article = Rs 1500.Profit on the article = 20% .Since the article is sold at profit , the Selling price of the article will equal to Cost price + 20% of cost price .
Firstly let's Calculate 20% of 1500 .
= 20% of Rs 1500 .
= 20/100 × Rs 1500 .
= Rs 300 .
Hence we can find now Selling price as ,
[tex]\boxed{\green{\bf Selling\: Price=Cost\:Price+Profit}}[/tex]
⇒ SP = CP + Profit .
⇒ SP = Rs ( 1500 + 300 ).
⇒ SP = Rs 1800 .
Hence the required answer is Rs 1800.
simba travel agency arranged trips for climbing mount kilimanjaro. for each trip, they charge an initial fee of 100$ in addition to a constant fee for each veriticle meter climbed. for instance, the total fee for climbing to the shira volcanic cone, which is 3000 meters above the base of the mountain is 400$. let y represent the total fee in dollars of a trip where they climbed x vertical meters.
PLEASE HELP ME I REALLY NEED HELP ON THIS QUESTION!!!!\
Keyleanis and her friend both started a part-time job at McDonnald earning $14 per hour. Claudia worked 38 ½ hours her first week. Keyleanis agreed to pay her friend 1/5 of her salary for reimbursement off gas and food. How much money did Keyleanis pay her friend for gas?
Answer:
[tex]total \: earning \: in \: a \: week \: \\ = 14 \times \frac{77}{2} \\ = 7 \times 77 \\ = 539 \\ now \: pay \: for \: her \: friend \\ 539 \times \frac{1}{5} = 107.8[/tex]
Olivia and her family are planning a vacation that involves water skiing. Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 an hour to rent the boat.
Complete the table to determine the total cost for 1, 2, 3, and 4 hours.
Answer:
Step-by-step explanation:
Let the number of hours used to rent the boat be represented by h.
Since Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 for every hour used, the expression to calculate the cost for hours used will be:
= $20.50 + $12.25h
where h = number of hours used.
The cost for 1 hour will be:
= $20.50 + $12.25h
= $20.50 + $12.25(1)
= $20.50 + $12.25
= $32.75
The cost for 2 hours will be:
= $20.50 + $12.25(2)
= $20.50 + $24.50
= $45
The cost for 3 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(3)
= $20.50 + $36.75
= $57.25
The cost for 4 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(4)
= $20.50 + $49
= $69.50
=
what is the slope of the line whose equation is y-4=5/2(x-2)
-5/2
-2/5
2/5
5/2
Answer:
The slope of the line would be 5/2
Step-by-step explanation:
Because if you put in the y-4=5/2(x-2) on the desmos calculator the line segment shows up and you will find the rise/run which is the equation to find a slope. So the rise I counted was 5 and the run was 2. Therefore the fraction would look like this: 5/2
Please help me this question is hard
Answer:
I cant see
Step-by-step explanation:
Answer:
dont have an answer yet...question too small to see...
Step-by-step explanation:
The following numbers are arranged in ascending order. Their median and mean are same .Find the value of x: 4, 7 ,x + 1, x+ 3 ,x + 4, 14, 16
Answer:
x=7
Step-by-step explanation:
(4+7+x+1+x+3+x+4+14+16)/7=x+3
(11+x+1+x+3+x+4+14+16)/7=x+3
(49+3x)/7=x+3
49+3x/7=x+3
49+3x=7x+21
49=4x+21
28=4x
x=7
PLZ HELP ME WITH THIS IT IS SO CONFUSING ON 10 MINUTES LET PLZZZ ILL GVE BRAINLIEST
Answer:
f = 3x^2+ 1 / x
Step-by-step explanation:
Let's solve for f.
fx=3x2+1
Step 1: Divide both sides by x.
fx / x = 3x^2+1 / x
f= 3x2+1 / x
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = 3x² + 1
To obtain f(- 1) substitute x = - 1 into f(x) , that is
(8)
f(- 1) = 3(- 1)² + 1 = 3(1) + 1 = 3 + 1 = 4
(9)
Similarly
f(0) = 3(0)² + 1 = 3(0) + 1 = 0 + 1 = 1
(10)
Given
f(x) = 3x² + 1 and f(x) = 49, then equate right sides
3x² + 1 = 49 ( subtract 1 from both sides )
3x² = 48 ( divide both sides by 3 )
x² = 16 ( take the square root of both sides )
x = ± [tex]\sqrt{16}[/tex] = ± 4
That is x = - 4 or x = 4
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Answer:
whats the question
Step-by-step explanation:
whats the question
Answer:The rest of the question is: Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Step-by-step explanation:
Took the test
The function y = 0.752 +4.75 represents the cost y (in dollars) of a bowl of soup with a bread sticks. You can buy 0, 1, 2, or 3 bread sticks.
Identify the independent and dependent variables, the domain, and the range.
Answer:
Answer in explanation
Step-by-step explanation:
y = 0.752x + 4.75
The independent variable will refer to what we have on the horizontal axis which is x. It is from these x we will get the values of the y
The dependent variable is the other variable asides the independent, in this case, the dependent variable is y
When we talk of the domain, we talk of the range of values from the independent variable axis
Here, these values are 0,1,2 or 3
Lastly, the domain refers to the range of values on the y-axis
To get this, we need to input the x-values digit into the equation one after the other
At x = 0
y = 4.75
At x = 1
y = 0.752 + 4.75 = 5.502
At x = 2
y = (0.752)2 + 4.75 = 6.254
At x = 3
y = 0.752(3) + 4.75
= 7.006
The range of values is between 4.75 and 7.006
solving equations with variables on both side! due today
Answer:
x=5
Step-by-step explanation:
2-3x = -x-8
Add 3x to each side
2-3x+3x= -x+3x-8
2 = 2x-8
Add 8 to each side
2+8 = 2x-8+8
10 =2x
Divide by 2
10/2 =2x/2
5 =x