Answer:
80
Step-by-step explanation:
the mean of a data set is calculated as
mean = [tex]\frac{sum}{count}[/tex] = [tex]\frac{88+72+68+78+94}{5}[/tex] = [tex]\frac{400}{5}[/tex] = 80
Sort the order of the electron holding capacity of the energy levels starting from the nucleus.
Below is a sequence of events. Place them in the order they should occur, number 1 being the first item. Select the step number from the drop down next to each item.
Items to order:
1.
Can hold a maximum of 18 electrons.
2.
Can hold a maximum of eight electrons.
3.
Can hold a maximum of 32 electrons.
4.
Can hold a maximum of two electrons.
The order of the energy levels starting from the highest is:
3. Can hold a maximum of 32 electrons
1. Can hold a maximum of 18 electrons.
2. Can hold a maximum of eight electrons.
4. Can hold a maximum of two electrons.
Energy levels and electron holding capacityWhen a shell gets bigger, it can retain more electrons, and has greater electron energies the further it is from the nucleus.
Two electrons can fit in the first shell, which is closest to the nucleus. Eight electrons can fit in the second shell. 18 electrons can fit in the third shell then 32 electrons can fit inside of the last shell.
The shell that can contain 32 electrons has the highest energy level
Following this relationship, it shows that the arrangement is done using the number of electrons to arrive at 3, 1, 2,and 4
Learn more about energy level at:
https://brainly.com/question/20561440
#SPJ1
Which symbol correctly compares the fractions below?
2/3 ? 6/9
A. >
B. none of these are correct
C. =
D.
Answer:
C
Step-by-step explanation:
6/9 simplified is 2/3
Hope this helps
Let ()=94+2+2. Compute (5)() .
Based on the given equation and the given value of (), the value of 5() from the equation is 490
How to solve equation?If
() = 94 + 2 + 2
The equation can be solved by substituting the value of () into 5()
Substituting is the method of inserting the known value of a variable into an equation to solve for the value of the equation.
Then,
Substitute the value of () into (5)()(5)()
= 5(94 + 2 + 2)
= 5(98)
= 490
So therefore, the value of 5() is given by 490.
Read more on equation:
https://brainly.com/question/2972832
#SPJ1
(-7 + 3) x 3² + ⅖ x (-1.1 - 3.9)
Solution to the fraction (-7 + 3) x 3² + ⅖ x (-1.1 - 3.9) = -38
How to solve fraction?Fractions are expressed in mathematics as a number value that defines a part of a whole or group of objects
To simplify the fraction into a simple form the following steps are followed;
Evaluate (-7 + 3) x 3² + ⅖ x (-1.1 - 3.9)
(-7 + 3) x 9 + ⅖ x (-1.1 - 3.9)
Add the numbers
(-4) x 9 + ⅖ x (-1.1 - 3.9)
Evaluate the exponent
(-4) x 9 + ⅖ x (-5)
Multiply the number
-36 + ⅖ x (-5)
-36 -10/5
Subtract the number from each other
-36 -10/5
=-36-2
Answer = -38
Learn more on fraction here: https://brainly.com/question/78672
#SPJ1
Please answer the question in the attached photo below.
The distance between the two points (3, π/6) and (2, π/3) in polar coordinates is 1.614 units
The points are (3, π/6) and (2, π/3)
The polar coordinate system is the system that represent a point by a distance from a fixed reference point and angles from a reference direction
The distance between the two points
d = [tex]\sqrt{r_1^2+r_2^2-2r_1r_2cos(theta_1-theta_2)}[/tex]
(3, π/6) is the coordinates of first point
(2, π/3) is the coordinates of second point
Substitute the values in the equation
d = [tex]\sqrt{3^2+2^2-2(3)(2)cos(\pi/6 - \pi /3)}[/tex]
d = [tex]\sqrt{9+4-12(\frac{\sqrt{3} }{2} )}[/tex]
d = [tex]\sqrt{13-6\sqrt{3} }[/tex]
d = 1.614 units
Hence, the distance between the two points (3, π/6) and (2, π/3) in polar coordinates is 1.614 units
Learn more about polar coordinates here
brainly.com/question/11657509
#SPJ1
which statement explains why ABC is congruent to A’B’C’?
The distance of all the side of ΔABC and ΔA'B'C' are equal which makes them congruent triangles.
What is congruent triangles?
When all 3 corresponding sides and every one 3 corresponding angles area unit equal in size, 2 triangles area unit aforementioned to be congruent.
Main Body:
First let us find the co-ordinates of both the triangles.
A= (3,5)
B = (-2, 3)
C= (-4,-1)
A' =(10,-5)
B'= (5, -3)
C' =(3,1)
Distance between two points = d=√((x₂ – x₁)² + (y₂ – y₁)²).
In ΔABC
Distance of side AB = √((3 –(-2) )² + (5 –3 )²)
= √5² +2²
= √29
Distance of side BC = √((-2-(-4) )²+ (3 -(-1 )²)
= √20
Distance of side CA = √((3-(-4) )² + (5-(-1) )²)
= √7² + 6²
= √85
Distance of side A'B' = √((10 -5)² + (-5-(-3))²
= √(5² +2²)
= √29
Distance of side B'C' = √ ((5-3)² + (-3 -1)² )
= √ (2)² +4²
= √20
Distance of side C'A' = √((10-3)² + ( -5-1)²)\
= √(7)² + 6²
= √85
This shows each side of ΔABC is equal to side of ΔA'B'C'.
hence the triangles are congruent.
To learn more about congruent , visit;
https://brainly.com/question/2938476
#SPJ9
A footballb team lost the same number of yards on each of 3 consecutive plays.what is the total change in yards from where the team started? Someone pls help I dont understand.
The total change in yards where the team started is 3x
How to determine the total change in yards?The given parameters in the question are:
Yards per play = unknown
Number of plays = 3 consecutive plays
Represent the yards per play with x
So, we have
Yards per play = x
The total change in yards is the amount of yard per play multiplied by the number of plays
This is represented as
Total change = Yards per play * Number of plays
Substitute the known values in the above equation So, we have the following equation
Total change = x * 3
Evaluate
Total change = 3x
Hence, the total change is 36 yards
Read more about changes at
brainly.com/question/28309697
#SPJ1
A math class has 3 girls and 7 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys? Write your answer as a fraction in simplest form.
The probability that the selections are both boys is 7/10
How to determine the probability that the selections are both boys?The given parameters in the question are
Seventh grade
Boys = 7
Girls = 3
Eight grade
Boys = 4
Girls = 4
The probability of selecting a boy is calculated as
P(Boy) = Number of boys/Number of students
So, we have
Seventh grade
Boys = 7
Girls = 3
P(boy) = 7/10
Eight grade
Boys = 4
Girls = 4
P(boy) = 4/8
The probability that the selections are both boys is
P = P(boy) * P(boy)
So, we have
P = 7/10 * 4/8
Evaluate
P = 7/20
Hence, the probability is 7/20
Read more about probability at
brainly.com/question/251701
#SPJ1
A missile was fired from a submarine from 200 feet below sea level. If the missile reached a height of 15900 feet before exploding, what was the change in the altitude of the missile?
The required change in height of the missile is 16100 feet.
Given that,
A missile was fired from a submarine from 200 feet below sea level. If the missile reached a height of 15900 feet before exploding, the change in the altitude of the missile is to be determined.
Change in defined as when the object is in one state but after a certain period of time, the state of the object changes is called change of the state.
here,
The height attained by the missile above sea level is 15900 feet.
The height attained by the missile below the seal level is 200 feet.
Change in height = 15900- (-200) = 15900 + 200 = 16100.
Thus, the required a change in height of the missile is 16100 feet.
Learn more about change in height:
https://brainly.com/question/13245817
#SPJ1
Please help question from 4 through 12 thank you very much
The answer to the questions from 4 through 12 are below:
4. z³ + 5z² + 5z + - 35. 4d + 6c - 66. 20a - 2b - 17. 40x8. 10x + 16y + 149. a² + 8a - 1010. 15v + 22w11. 10c² + 4c12. z³ - 8z² + 5z + 23What is the perimeter of a rectangle and triangle4. z³ + 5z + 3z² + 1 - 4 - 2z²
= z³ + 5z² + 5z + - 3
5. Perimeter of the square = Addition of all the sides
= (2d - 3) + (3c) + (2d - 3) + (3c)
= 2d - 3 + 3c + 2d - 3 + 3c
= 4d + 6c - 6
6. Perimeter of the triangle = Addition of all the sides
= (4a - 2b) + (9a - 4) + (7a + 3)
= 4a - 2b + 9a - 4 + 7a + 3
= 20a - 2b - 1
7. Perimeter of a square = 4 × side length
= 4 × 10x
= 40x
8. Perimeter of a rectangle = 2(length + width)
= 2{(2x + 7) + (3x + 8y)}
= 2(2x + 7 + 3x + 8y)
= 2(5x + 8y + 7)
= 10x + 16y + 14
Simplify the following
9. 3a + a² + 5(a - 2)
= 3a + a² + 5a - 10
= a² + 8a - 10
10. 8(v + w) + 7(v + 2w)
= 8v + 8w + 7v + 14w
= 15v + 22w
11. 4c² + 6(c + c²) - 2c
= 4c² + 6c + 6c² - 2c
= 10c² + 4c
12. z³ + 5(z + 3) + 4(2 - 2z²)
= z³ + 5z + 15 + 8 - 8z²
= z³ - 8z² + 5z + 23
Read more on perimeter:
https://brainly.com/question/24571594
#SPJ1
adult tickets
A total of 390 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times ti
number of adult tickets sold. How many adult tickets were sold?
The number of adult tickets were sold is 130 tickets.
Given,
In the question:
Total tickets were sold for the school play is 390 tickets.
The number of student tickets sold was two times number of adult tickets sold.
To find the how many adult tickets were sold?
Now, According to the question:
Based on the given conditions:
Let the number of adult tickets be x.
Formulate the condition:
x × (1 + 2) = 390
x × 3 = 390
Simplify
x = 390/3
x = 130
Hence, The number of adult tickets were sold is 130 tickets.
Learn more about Number at:
https://brainly.com/question/20718786
#SPJ1
I need help with this question anyone?
Answer:
B; 14 cents/1 ounce
Step-by-step explanation:
So you were given the information that there is 140 cents per 10 ounces. Now, we have to get that into a unit rate, which is a number over 1. It would have to be B because the info. was cents/ounces and typically money is over amount.
So you do 140/10
That equals out to 14/1
So it is 14 cents/1 ounce.
Hope this helps!!! :)
4. Two card are down Randomly from well suffled deck of card without Replacement Find the probability by of getting both Face card at two succession tree diagram.
Answer:
[tex]\frac{11}{221}\approx{0.0498}\approx{4.98\%}[/tex]
Step-by-step explanation:
Two cards are drawn randomly from a well-shuffled deck of cards without replacement. Find the probability of getting both face cards in succession.
In a deck of 52 cards, there are three face cards (J, Q, and K) in each of four suits (clubs, diamonds, hearts, and spades). That means there are 12 face cards in total (J♣, Q♣, K♣, J♦, Q♦, K♦, J♥, Q♥, K♥, J♠, Q♠, K♠).
The probability of drawing a face card the first time, then, is 12 out of 52.
There is now one less face card in the deck, as well as one less card in the deck. Therefore, the probability of drawing a face card a second time is 11 out of 51.
The probability, then, of drawing two face cards in succession is:
[tex]\frac{12}{52}\times{\frac{11}{51}}=\frac{132}{2652}=\frac{11}{221}\approx{0.0498}\approx{4.98\%}[/tex]
What is the compound interest if $47,000 is invested for 10 years at 8% compounded continuously?
Sophie determine that the function describing the cost of dinner is linear if you order X eggrolls your dinner will cost 1.50x + $10 what is the per egg roll fee?
Sophie determine that the function describing the cost of dinner is linear if you order X eggrolls your dinner will cost 1.50x + $10 what is the per egg roll fee?
1.50x + $10
per egg roll fee is $1.50
Define Variable
Solve the Problem
Write the inequality
Do you think mark will be able to accomplish his goal
The inequality will be represented by p ≥ 33 for at least 15 points.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Mark must score at least 11 points to have an average of 10 points per game.
The average of a set of data is its sum, divided by the number of data points in the set. If p is the number of points Mark scores in his next game, and he wants his average at least 15, then the relation is ...
(8+14+10+20+5++p)/6 ≥ 15
57 +p ≥ 90 . . . . . . . . . multiply by 6 and simplify
p ≥ 33
Mark must score at least 33 points in the next game to average at least 15 points per game.
To know more about inequality follow
https://brainly.com/question/26708360
#SPJ1
Jada claims that B'C'D' is a dilation of BCD using A as the center of dilation.
What are someways you can convince Jada that her claim is not true?
Dilation entails altering a figure's size.
Because the is larger than, Isaiah's assertion is untrue.
What is dilation?A transformation that alters the size of a figure is called a dilation (similarity transformation). It needs a scale factor and a central point. Depending on the value of k, the dilatation is either an enlargement or a reduction.The dilatation is an expansion if | k | > 1The dilation is a decrease if | k | 1.The new image's size in relation to the old image's size is determined by the scale factor's absolute value. The original image and the new image are on the same side of the center when k is positive. They are on opposing sides of the center when k is negative. A dilatation always has its own picture at its center.Although dilation is not a hard transformation, the angles of the figures it dilates remain unchanged.
The aforementioned claim suggests that,
The dimensions of and should be equal.
However, it is evident that;
are not equivalent.
In reality
greater than
Therefore, Isaiah's assertion is false.
Dilation information can be found at:
brainly.com/question/13176891
#SPJ13
Peter and Parker work for a cleaning crew. Peter can clean a room in 15 minutes less time than it takes Parker to do the same job. Working together,
they can clean two rooms in 110 minutes. Approximately how long does it take Peter to clean a room by himself?
how long does it take Peter to clean a room by himself is[tex]t = \frac{95+-5\sqrt{493} }{2}[/tex]
What does "rate" mean mathematically?
A rate is a unique ratio where the two words are expressed in several units.
Let Peter take time to clean 1 room be = t
Let Parker take time to clean 1 room be = t+15
Total Time taken by both to clean to room T= 110
Equation for total time taken to clean 2 room by both
[tex]\frac{1}{t} +\frac{1}{t+15} =\frac{2}{T}[/tex]
[tex]\frac{1}{t} +\frac{1}{t+15} =\frac{2}{110}[/tex]
By taking LCM
[tex]\frac{2t+15}{t^{2}+15} =\frac{1}{55}[/tex]
By cross multiplication in above equation
[tex]110t+825=t^{2} +15t[/tex]
[tex]t^{2}-95t-825=0[/tex]
Hence the answer is [tex]t = \frac{95+-5\sqrt{493} }{2}[/tex]
Learn More about Rate at
https://brainly.com/question/119866
#SPJ1
Find the intercepts of the line
Answer:
x-int=-40
y-int=15
Step-by-step explanation:
we have points 0,15 and -40,0 on the line.
It is as easy as the y-int being 15 and the x-int being -40!
the y-int will always be= (0,#)
the x-int will always be (#,0)
Find the area of the following figure:
(Use π=3.14 when finding your final answer. Do not round and Do not enter units!)
Area = _______ mm²
Answer:
521 mm2
Step-by-step explanation:
Formulas:
area of circle= 3.14 x radius x radius
area of semicircle = 0.5 x 3.14 x radius x radius
diameter of circle= 20mm
radius=0.5x20mm=10mm
area of trapezium= 0.5 x (base+base) x height
Working:
area of semicircle= 0.5 x 3.14 x 10mm x 10mm = 157mm2
area of trapezium = 0.5 x (20mm+32mm) x 14mm = 364mm2
total area of figure= 157mm2 + 364mm2 =521mm2
Need help please someone
The equation of the linear function is y=8x+(-8).
What do you mean by equation?
A mathematical statement with two expressions that have the same value and the sign "equal to" between them is called an equation. Take the example of 3x + 5 = 15. Equations can be of several sorts, including linear, quadratic, cubic, and others.
According to data in the given question,
We have points (0,-8) and (1,0), thus
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\=\frac{(0-(-8))}{1-0} \\=8[/tex]
Then
y=8x+b
Points (0,-8) means that when x=0, y=-8 and we use this to find b,
y=8x+b
-8=8(0)+b
-8=0+b
b=-8
So, y=8x+(-8)
Therefore, the equation of the linear function is y=8x+(-8).
To learn more about equation visit to the given link:
brainly.com/question/10413253?referrer=searchResults
#SPJ1
Find the slope using points: (0, - 3) and (- 4, 2)
Answer:
-5/4
Step-by-step explanation:
slope
[tex]\frac{y2-y1}{x2-x1}\\\\ \frac{2-(-3)}{-4-0}=\frac{5}{-4}\\ \\slope = \frac{-5}{4}[/tex]
here are the first 5 terms of an arithmetic sequence, 2,6,10,14,18... is 86 a term in this sequence, you must give a reason for your answer
Answer: Yes
Step-by-step explanation:
Because if you keep going it will reach 86, since it's added by 4, so 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86.
Which points are on the axes 5 units from the origin
Answer:
E and X
Step-by-step explanation:
look for the 6 then behind it
Answer:
X and E
Step-by-step explanation:
"axes" is the plural of axis. The x-axis is the flat line marked with numbers and arrows at the ends. Its labelled x on the right side.
The y-axis is the up-and-down line marked with numbers and arrows at the ends, labelled y at the top.
The origin is where the two axes cross.
Points J, E, X and P are all on the axes. But X and E are 5 units from the origin (where the lines cross) J and P are 9 units from the origin.
2, 6 and 10 were labelled on the axes, but each tick mark is an evenly spaced amount. So the 5 was unlabelled, but it is understood to be 5. See image.
What is the equation of the line that passes through the point (4, 6) and has a slope
of o?
add w and the sum of 9 and 4
The addition of w, 9 and 4 is (w+13).
According to the question,
We have the following information:
We need to add w, 9 and 4.
We already know that a variable can only be added or subtracted from the terms having the same variables. For example, 8x can only be added to 5x but not 5y.
So, in this case, w is the variable and it can not be added to any other term because the other two are whole numbers.
Now, the whole numbers can be easily added.
So, we have the following expression:
w+9+4
w+13
Hence, the addition of w, 9 and 4 is (w+13).
To know more about addition here
https://brainly.com/question/11399758
#SPJ1
already answered 1 and 2. i think 3 is "definition of midpoint". is this correct? what are the other two? thank you
x+13
2x +1
x-8
Find x
X = 43.5 .............
Solve the following inequalities: (i) 5(11 − ) < + 49
The answer to the inequality is -55 < 49. That is -55 is less than 49.
What is inequality?
This refers to the relationship between two values that are not equal. It can be represented with the following symbols; < less than,> greater than, ≥ greater than or equal to,≤ less than or equal to, and ≠ not equal to.
The given equation States that;
5(11 − ) < + 49
5*11- < + 49
-55 < +49
Therefore, -55 is less than 49.
Learn more about Inequalities
https://brainly.com/question/28616405
#SPJ1
Emmett prepared 10 kilograms of dough after working 2 hours. How much dough did Emmett prepare if he worked for 4 hours? Assume the relationship is directly proportional.
The kilograms of dough that Emmett prepare if he worked for 4 hours is 20 kilograms.
What is a proportional relationship?A proportional relationship simply means the relationship that has an equivalent ratio as well as a constant.
In this case, Emmett prepared 10 kilograms of dough after working 2 hours. The kilograms per hour will be:
= 10/2
= 5 kilograms per hour
Therefore, in 4 hours, the kilograms will be:
= Number of hours × 5 kilograms
= 4 × 5
= 20 kilograms
Learn more about proportional relationship on:
brainly.com/question/28777033
#SPJ1
