The number of unit cubes in one layer may vary depending on the type of cubic lattice structure. In a simple cubic lattice, there is one atom per unit cell. However, without specific dimensions or the exact structure type, the exact number of cubes per layer cannot be determined.
Explanation:When we talk about the number of unit cubes in one layer, we must understand the geometry of the structure we are discussing. In a simple cubic lattice, each layer is made up of unit cubes that sit next to each other on each side. If the structure is in fact a simple cubic unit cell, then according to Figure 10.49 which describes this as having an atom at each of its eight corners and being shared by eight unit cells, there would be a total of one atom per unit cell.
In the context of a body-centered cubic structure mentioned, which is depicted in Figure 10.51, atoms in a specific layer do not touch each other, making the calculation of unit cubes in a single layer less straightforward; the cubes in the layers above and below touch the atom at the center.
Without specific dimensions or the type of cubic structure (simple cubic, face-centered cubic, or body-centered cubic), the exact number of unit cubes per layer cannot be determined. If we consider a cube made up of smaller unit cubes with a known side length, such as the polystyrene cube measuring 10 cm per side as mentioned, the number of unit cubes per layer would simply be the area of the cube's face divided by the area of one unit cube face. For a 10 cm cube, if each unit cube is 1 cm3, then there would be 10 x 10 = 100 unit cubes per layer.
The school wants to order a new countertop for the teacher's lounge. The shape of the countertop that they are replacing is shown below. A countertop can be broken into 2 rectangles. 1 rectangle has a base of 70 inches and height of 20 inches. The other rectangle has a base of 20 inches and height of 30 inches. If the new countertop costs $0.75 per square inch, what is the price of the replacement countertop? $1,500 $1,800 $2,000 $2,400
Answer:A.) 1,500
Step-by-step explanation:
Answer:
1500
Step-by-step explanation:
What is the arc measure of CD in degrees?
в
с
(20k + 4)
D
р
(33k — 9)°
,
Answer:64
Step-by-step explanation:
There were 34 balloons at the beginning of a party. By the end of the party, m of them had popped. Using ,m write an expression for the number of balloons that were left.
Answer:
34-m
Step-by-step explanation:
BRAINLIEST PLZ, ITS RIGHT IM AN EXPERT
I don’t understand 1 2 and 3 please help
Answer:
1. 336 in3
2. 384 cm3
3. 336 m3
Step-by-step explanation:
im not positive but i think you just multiply the numbers and put the label as cubed
Use 3.14 for π. Round answer to the nearest tenth if necessary. A can of chili has a radius of 5.25 cm and a height of 13 cm. Find the volume. (Enter a numerical answer only)
Answer:
V=1,125.1
Step-by-step explanation:
The equation for the volume of a cylinder is (V= πr^2h)
V= π(5.25)^2(13)
V= π(27.5625)(13)
V= π(358.3125)
V=1,125.10125
Amanda is 3 years older than Brantley and Carlos is twice as old as Amanda. The sum of their ages is 57. How old is Amanda?
Answer:
15 years old
Step-by-step explanation:
Let's say Amanda's age is a, Brantley's age is b, and Carlos's age is c.
"Amanda is 3 years older than Brantley" means that a = 3 + b
"Carlos is twice as old as Amanda" means that c = 2 * a = 2a
"The sum of their ages is 57" means a + b + c = 57
We know that a = 3 + b, which can be written as b = a - 3. Substitute a - 3 in for b and 2a in for c in the equation a + b + c = 57 so that we have one variable to solve for:
a + b + c = 57
a + (a - 3) + 2a = 57
4a - 3 = 57
4a = 60
a = 15
Amanda is 15 years old.
Answer:
15
Step-by-step explanation:
A = B + 3
B = A - 3
C = 2A
A + B + C = 57
A + A - 3 + 2A = 57
4A - 3 = 57
4A = 60
A = 15
What is the volume of this rectangular prism?
A rectangular prism with a length of 6 and one-fourth foot, a width of 14 feet, and a height of 3 feet.
87 and one-half feet cubed a
131 and one-fourth feet cubed b
252 feet cubed c
262 and one-half feet cubed d
Mark this and return
Answer:
262 1/2 cubic feet
Step-by-step explanation:
The volume of a prism is (length)(width)(height).
Here we have
V = (6 1/4 ft)(14 ft)(3 ft)
Converting 6 1/4 ft to an improper fraction, we get 25/4.
Then the above product is V = (25 ft/4)(14 ft)(3 ft) = 262 1/2 cubic feet
The volume of the rectangular prism is 262.5 cubic feet. Thus, the correct option is D.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,
V = L x W x H
A rectangular prism with a length of 6 and one-fourth feet, a width of 14 feet, and a height of 3 feet. Then the volume of the rectangular prism is calculated as,
V = (6 + 1/4) x (14) x (3)
V = 25/4 x 42
V = 1050/4
V = 262 + 1/2 cubic feet
V = 262.5 cubic feet
Thus, the correct option is D.
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You are painting a rectangular wall with length 5X to the second power seat and with 12 X feet. There is a rectangular door that measures X feet by 2 feet that will not be painted. What is the area of the wall that is to be painted? Write your answer in factored form
Answer:
It looks like you need to find the area of the wall and subtract the area of the door
(5x2 ∗ 12x) - (x ∗2x)
Simplify each term in the parentheses
60x3 - 2x2
Then we can factor that expression using the greatest common factor.
The GCF is 2x2 so we divide both terms by 2x2
2x2(30x - 1)
Step-by-step explanation:
THREE FRIENDS WENT ON A TRIP TO THE STRIP OF LAS VEGAS. THE RATES FOR ROOMS IN THE SUMMER ARE USUALLY PRETTY INEXPENSIVE. THE THREE GOT A ROOM AT THE STRATOSPHERE FOR $60(all taxes and Resort fees included), SO THEY EACH PAID $20 PER PERSON AND WENT UP TO THE ROOM. AS THEY WERE UNPACKING, THE BELLHOP KNOCKED ON THE DOOR AND TOLD THEM THAT THE FRONT DESK SAID THE ROOM WAS ONLY SUPPOSED TO BE $55. SO HE HAD FIVE ONE DOLLAR BILLS TO GIVE BACK TO ONE OF THE FRIENDS. THAT FRIEND SUGGESTED THAT EACH GET $1, AND THE BELLHOP KEEP THE OTHER $2 AS AS TIP. SO, THAT IS WHAT THEY DID, AND THE BELLHOP LEFT. THEN ONE OF THE OTHER BUDDIES SAID, HOLD ON A MINUTE... WE ALL PAID $19 EACH FOR THE ROOM, SO, 3 X $19 = $57. AND WE GAVE THE BELLHOP $2, WHY DOESN'T IT ADD UP TO $60, SO WHAT'S UP? WHAT HAPPENED TO THE MISSING BUCK???
Answer:
$1 is a missing due to the addition of unrelated amounts.
$(20 - 1)×3 + $2
Can never be equal to
$20 × 3
Step-by-step explanation:
The statement in a nut-shell is
- The three friends paid $20 each initially, to make $60.
- $1 each was returned to them, so that they reduced the expenses, and paid $19 each, to make $57.
- They tipped a man $2.
WHY IS $57 + $2 ≠ $60?
That was so, because the amounts that were added weren't related.
If their total spending was what they wanted to calculate, it should have included the amount in the receipt of $55 payment received from the hotel.
The right calculation should have been:
$55 payment to the hotel
+
$3 change the three friends received ($1 each)
+
$2 tip they gave.
=
$60
The graph of f(x) = x6 – 2x4 – 5x2 + 6 is shown below.
How many roots of f(x) are rational numbers?
Answer:
B. 2
Step-by-step explanation:
egd. 2021
Answer:
B
Step-by-step explanation:
The roots of rational numbers is when you find the square root making it B
Locate the y-intercept for the graph of the linear function, and for the equation of the linear function. Which has a larger y-intercept
y=-3/2x- 1/2
A. The graph has a larger y-intercept
B. the equation has a larger y-intercept
C. The y-intercepts are equal
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
y = -3/2x - 1/2
b = -1/2
To locate the y-intercept on the graph, find the point where the line crosses through the y-axis or the y-value when x = 0
I can't see the graph but hopefully this information helps you find the answer
Answer:
It’s A. The graph has a larger y/intercept.
Step-by-step explanation:
Michael walks his black lab 1 2/3 miles on Mondays, Wednesday's, Friday's, and Sunday's. He walks his poodle 1/6 of a mile on Tuesdays, Thursdays, and Saturdays. How many total miles does Michael walk his dogs each week?
Answer:
Total for the week T;
T = 20/3 + 3/6 = 40/6 + 3/6 = 43/6 miles
T = 7.17 miles
Step-by-step explanation:
Given;
Michael walks his black lab 1 2/3 miles on Mondays, Wednesday's, Friday's, and Sunday's.
On four days = 1 2/3 = 5/3 miles per day
Total for the 4 days = 4 × 5/3 = 20/3 miles
He walks his poodle 1/6 of a mile on Tuesdays, Thursdays, and Saturdays
On 3 days = 1/6 miles per day
Total for the 3 days = 3 × 1/6 = 3/6 miles
Total for the week T;
T = 20/3 + 3/6 = 40/6 + 3/6 = 43/6 miles
T = 7.17 miles
Check all that apply
Answer:
The first and last option.
Step-by-step explanation:
This is true because in the first chart, different y values correspond to different x values. In the other chart and option, the same y value corresponded to multiple x values - when this happens, it is not a function. This is why the first option is a function. In the last option, you gave an equation to a parabola. When graphed, the parabola opens downwards. Only parabolas that open upwards or downwards are considered functions. Parabolas that open left or right are not considered parabolas. You can test whether or not a parabola is considered a function by conducting the "Vertical Line Test."
Answer:
To determine if they are functions or not, each y value needs to have only one x value. There should never be 2 values with the same x.
The first one is a function.
The second one is not a function because there are two coordinates that have -1.
The third on is not a function because there are two of them that have 0.
The fourth one is a function because when listing the inputs and outputs, there are different x values for each y value.
Hope this helps ;)
If n(U) = 360, n(A) = 240, n(B) = 160, find the maximum value of
n(AUB) and the minimum value of n(A n B). When will the value of
n(An B) be maximum and find its value.
Answer:
here is answer
Step-by-step explanation:
n(AUB) = n(A) + n(B) - n(AnB )
= 240 + 160 - n(A n B)
= 400 - n(AnB )
Since n(AnB) 20, so n(AUB) S 400
But n(U) = 360, so n(A U B)* 360
.. the maximum value of n(AUB) = 360.
When n(A U B) is maximum, n(AnB) will be minimum.
.. min. value of n(An B)
= n(A) + n(B) - Max, value of n(AUB)
= 240 - 160 - 360 = 40
Again, n(
A B) will be maximum when B C A.
..the max. value of n(
A B) = n(B) = 160
Let x denote the sum of two distinct numbers selected randomly from the set of numbers StartSet 1 comma 2 comma 3 comma 4 comma 5 EndSet . {1, 2, 3, 4, 5}. Construct the probability distribution for the random variable x.
Answer:
Step-by-step explanation:
Given:
The set of numbers {1, 2, 3, 4, 5}
Affter that, we find the sum um of two distinct numbers selected randomly from the set above;
1+2 =31+3=41+4=51+5=62+3=52+4=62+5=73+4=73+5=84+5 = 9Therefore, we have the following number: 3,4,5,6,5,6,7,7,8,9
so we have x = {3,4,5,6,5,6,7,7,8,9 }
now we find P(x) of each number, we have n(S) = 10
x 3 4 5 6 7 8 9
P(x) 1/10 1/10 1/10 2/10 2/10 2/10 1/10
Hope it will find you well.
The probability distribution of a set gives the probabilities of possible outcomes of the set
The set of numbers is given as:
[tex]\mathbf{Set = \{1, 2, 3, 4, 5\}}[/tex]
Add two distinct numbers of the set.
The sum is as follows
[tex]\mathbf{1+2 =3}[/tex]
[tex]\mathbf{1+3=4}[/tex]
[tex]\mathbf{1+4=5}[/tex]
[tex]\mathbf{1+5=6}[/tex]
[tex]\mathbf{2+3=5}[/tex]
[tex]\mathbf{2+4=6}[/tex]
[tex]\mathbf{2+5=7}[/tex]
[tex]\mathbf{3+4=7}[/tex]
[tex]\mathbf{3+5=8}[/tex]
[tex]\mathbf{4+5 = 9}[/tex]
The sum of the distinct numbers are:
[tex]\mathbf{Sum = \{3,4,5,6,5,6,7,7,8,9\}}[/tex]
Calculate the probability of each number in the sum set i.e. 3, 4, 5, 6, 7, 8 and 9
[tex]\mathbf{P(3) = P(4) = P(5)= P(9)= \frac{1}{10} = 0.10}[/tex]
[tex]\mathbf{P(6) = P(7) = P(8)= \frac{2}{10} = 0.20}[/tex]
So, the probability distribution for the random variable is:
x - - P(x)
3 -- 0.10
4 -- 0.10
5 -- 0.10
6 -- 0.20
7 -- 0.20
8 -- 0.20
9 -- 0.10
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f y = x2 − 2x, which ordered pair gives the location for one of the points on the graph?
Answer: C) (-3,15)
Step-by-step explanation:
Just did USATestPrep and that is the order pair that gives u one of the points on the graph if y= x^2 - 2x
Which measures are $1 greater for Group B than for Group A?
the median and the mode
the mean and the range
the mean and the median
the mode and the range
Answer: C
the mean and the median
Step-by-step explanation:
From the attached table,
The range of group A = 5 - 0 = 5
The range of group B = 4 - 1 = 3
Difference in range is not equal to $1
The mode of A = 1
The mode of B = 3
Difference in mode is not equal to $1
The median of A = (1 + 2)/2 = 1.5
The median of B = 3
Difference = 3 - 1.5 = $1.5
The mean of A = 16/15 = 1.07
The mean of B = 40/15 = 2.67
The difference = $1.6
From the above analysis, we can therefore conclude that non of the measures are $1 greater for Group B than for Group A
The best option among the options is
the mean and the median
Answer:
the right answer is c. mean and the median
Step-by-step explanation:
because i took the test and got the answer right
Identify the volume and surface area in terms of π of a sphere with a great circle area of 225π ft2
V = 900π ft3; S = 4500π ft2
V = 4500π ft3; S = 900π ft2
V = 300π ft3; S = 900π ft2
V = 900π ft3; S = 300π ft2
Answer:
B (V = 4500π ft3; S = 900π ft2)
Step-by-step explanation:
If the great circle's area is 225pi, that makes the radius sqrt225 = 15
The volume of a sphere is (4/3) pi r^3, so the volume would be 3375 * 4/3 pi= 4500pi
The surface area of a sphere is 4 pi r^2, so the Surface area would be 4 * 225 pi = 900pi
That makes the answer B (V = 4500π ft3; S = 900π ft2)
Help please I really need it
Answer:
402.705 cm^2
Step-by-step explanation:
pi * r^2 * h /3 ---> (Volume of a cone)
3.14* 4.5^2 * 19 /3 =
3.14 * 20.25*19/3 = 402.705
Answer:
it would be around 318.09 cubic centimetres in volume for the cone
At the beginning of the year, Omar has $120 in his bank account. He deposits $24 each week.
How many weeks will it take for Omar to have $480 in his account?
A) 4
B) 5
C) 15
D) 20
E) 25
Answer:
15 weeks
Step-by-step explanation:
He deposits 24 each week, so 480-120 is 360. Then if you divide 360 by 24 to see how many weeks, it is 15.
Answer:
that will be 15
Step-by-step explanation:
2c+2=10
A.-4
B.3
C.5
D.4
Answer: 4
Step-by-step explanation: Subtract 2 on both sides, you get 2c=8 ... divide 2 on both sides. C = 4
Answer:
D 4
Step-by-step explanation:
2c+2=10
Subtract 2 from each side
2c+2-2=10-2
2c = 8
Divide each side by 2
2c/2 = 8/2
c =4
The following data points represent the yearly salaries of high school cheerleading coaches in Dakota County (in thousands of dollars).
qquad 41,38, 36 , 57, 4341,38,36,57,4341, , 38, , 36, , 57, 43
Find the mean absolute deviation (MAD) of the data set.
_____ thousand dollars
Answer:
Step-by-step explanation:
I think the data is repeated
The given data should be
41, 38, 36, 57, and 43
So, we want to find the absolute mean deviation, absolute here means we will discard the negative sign and make it possible
So, let find the mean of data
X~ = Σx / N
x is the given data
And N is the number of data given
X~ = (41 + 38 + 36 + 57 + 43) / 5
X~ = 215 / 5
X~ = 43
The mean is 43, so we and to find now the data given deviate from the mean.
X....... X-X~.......….|X-X~|
36..... —7............... 7
38..... —5.............. 5
41...... —2............... 2
43....... 0.........., ...0
57...... 14............. 14
So, the sum of the mean deviation is expected to be 0
ΣX-X~ = -7 -5 - 2 + 0 + 14 = 0
As expected
But the sum of the absolute mean is
Σ|X-X~| = 7 + 5 + 2 + 0 + 14 = 28
The mean deviation is given as
M•D = Σ|X-X~| / N
M•D = 28 / 5
The mean absolute deviation is 5.6 thousand dollars
This question is not correct
Correct Question:
The following data points represent the yearly salaries of high school cheer leading coaches in Dakota County (in thousands of dollars). 43, 41, 38, 36 , 57. Find the mean absolute deviation (MAD) of the data set.
Answer:
5.6 thousand dollars
Step-by-step explanation:
Mean Absolute Deviation is mean of or the average of absolute deviation of a set of data from it's central point.
We were given the following sets of data in thousands( the yearly salaries of high school cheer leading coaches)
43, 41, 38, 36, and 57
We would determine the Mean Absolute Deviation in the following steps:
Step 1
The first step is calculate the mean of the salaries
= (43+ 41 + 38+ 36+ 57) ÷ 5
= 215 ÷ 5
= 43
The mean of the salaries is 43 in thousand dollars.
Step 2
The second step would be to find the absolute difference of the values by subtracting the mean of the salaries from each of the salaries of the high school teachers , find the absolute values, after which we would sum up this absolute values together and divide by the number of the observed values
The number of observed values = 5
[|43 - 43| + |41 - 43| + |38- 43| + |36 - 43| + |57- 43| ]÷ 5
= 0 + |- 2|+ |- 5 |+|-7| + |-14| ÷ 5
= (0 + 2+ 5 +7 + 14) ÷ 5
= (28 ÷ 5) in thousand dollars
= 5.6 in thousand dollars
Therefore, the mean absolute deviation (MAD) of the data set in thousand dollars is 5.6.
Simplify the expression 0.8y-1.5-0.2y+3.6
Answer:
0.6y+2.1
Step-by-step explanation:
In this question, it is required to simplify the given expression i.e. 0.8y-1.5-0.2y+3.6. It can be done by combining like terms together.
Here y is a variable. We can combine y terms together such that we get :
[tex]=(0.8y-0.2y)-1.5+3.6\\\\=0.6y+2.1[/tex]
Hence, the simplified expression is 0.6y+2.1
Rewrite the following equation in logarithmic form:
16 = 8^4/3
Answer:
Log8(16)=4/3
Step-by-step explanation:
LogA(B) =C is same thing as A^C=B every single time
The given equation 16 = 8^4/3 can be written in logarithmic form as log8(16) = 4/3.
Explanation:The given equation, 16 = 8^4/3, can be rewritten in logarithmic form as log8(16) = 4/3.
In logarithmic form, the base (8) becomes the subscript of the logarithm, the number being raised to the power (16) becomes the argument of the logarithm, and the result of the exponentiation (4/3) becomes the value of the logarithm.
Therefore, the equation 16 = 8^4/3 can be written as the logarithmic equation log8(16) = 4/3.
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Kermit's favorite iced tea is made with 151515 tea bags in every 222 liters of water. Peggy made a 121212-liter batch of iced tea with 909090 tea bags.
Answer:
The answer is (Choice C) It is just right.
Step-by-step explanation:
The question is incomplete, so the complete question is below:
Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: (Choice A) It is too strong. (Choice B) It is too weak. (Choice C) It is just right.
Now, to find which of the choice is correct.
So, we find first the unit rate of Peggy's iced tea bags per liter:
If, Peggy made a 12-liter batch of iced tea with 90 tea bags.
Then, Peggy would made a 1-liter batch of iced tea with = [tex]\frac{90}{12} =7.5\ tea\ bags.[/tex]
Now, to get the unit rate of Kermit's iced tea bags per liter:
If, Kermit made a 2 liter of iced tea with 15 tea bags.
Then, Kermit would made a 2 liter of iced tea with = [tex]\frac{15}{2} =7.5\ tea\ bags.[/tex]
Thus, the quantity of tea bags per liter is same of both Kermit and Peggy.
Hence, Kermit will think of Peggy's iced tea that it is just right.
Therefore, the answer is (Choice C) It is just right.
Answer:
C
Step-by-step explanation:
The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800. By what percent did the number of calories increase?
Answer: The number of calories increased by 20%.
Step-by-step explanation:
Given : The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800.
Previous number of calories he used to burn = 1,500
Increase in calories = 1800-1500=300
Now , the percent increase in calories = [tex]\dfrac{\text{Increase in calories}}{\text{previous calories}}\times100[/tex]
[tex]=\dfrac{300}{1500}\times100=20\%[/tex]
Hence , the number of calories increased by 20%.
Answer:
20%
Step-by-step explanation:
The graph of a hyperbola has two disconnected parts called
A hyperbola is simply an open curve that has two branches.
The disconnected parts of the graph of the hyperbola are the branches.
See attachment for an illustration of an hyperbola.
From the graph, we have the following highlights.
The graph is disconnected on two sides.These two sides face opposite sidesThese two sides extend in both directions.The opposite sides (and disconnected parts) are the branch of the hyperbola
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Can any one please Help with 4
Answer: i believe they are compared to knights
a 20 ounce bottle of lotion costs $3.95. how much does each ounce costs ?
Answer:
3.95 divided by 20 equals 0.1975
Each ounce costs $0.1975.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units. Hence this method aims at determining values in relation to a single unit.
Given here, a 20 ounce bottle and it costs $3.95
1 ounce of lotion would cost $3.95 / 20= $0.1975.
Hence, Each ounce costs $0.1975.
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Chester has a coupon for 1/10 off the price of a shirt. If the shirt originally costs $28.70, what discount would chester recieve from using his coupon
Answer:
Chester would receive a discount of $2.87 on using the coupon.
Step-by-step explanation:
We are given the following in the question:
Original cost of shirt = $28.70
Discount =
[tex]\dfrac{1}{10}\text{ of the original price}[/tex]
We have to find the discount Chester would receive from using this coupon.
Discount amount =
[tex]=\dfrac{1}{10}\times \text{Original Price}\\\\=\dfrac{1}{10}\times 28.70\\\\=2.87[/tex]
Thus, Chester would receive a discount of $2.87 on using the coupon.