ACION
A student claims that if you dilate the net for a cube using a scale factor of 2, the surface
area of the resulting cube is multiplied by 4 and the volume is multiplied by 8. Does this
claim make sense?
(select)
make sense.
Answers
Answer:Yes
Step-by-step explanation:
Given
Suppose side length of cube is a
If we dilate the cube using a scale factor of 2
Side length becomes 2a
and the surface area becomes \(=6(\text{side length})^2\)
Surface area\(=6(2a)^2\)
Surface area\(=4\times 6(a)^2\)
Thus surface area multiplied by a factor of 4
Now for volume
\(V=(\text{side length })^3\)
\(V=(2a)^3\)
\(V=8(a^3)\)
Therefore volume is multiplied by a factor of 8
Therefore the above statements make sense
Related Questions
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
Which ordered pair describes the location of point A? (doing this for my lil sis)
Answers
Good evening,
Answer: A = (8;6)
Step-by-step explanation: Point A is located on the value 8 on the abscissa and 6 on the ordinate. We note the point being equal to the number of the abscissa axis on which it is located then the one of the ordinate axis such as A = (8;6)
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
Answers
and
C(13, 5) = 13! / (5!(13-5)!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287
Multiply these two combinations since the faculty members and students are selected independently:
Total number of ways to form the committee = C(7, 4) * C(13, 5) = 35 * 1287 = 45,045
Therefore, there are 45,045 ways to form the committee consisting of 4 faculty members and 5 students.
For faculty members:
There are 7 eligible faculty members, and we need to select 4 of them for the committee. This can be done using the combination formula:
C(7, 4) = 7! / (4!(7 - 4)!) = 35.
So, there are 35 ways to select 4 faculty members from the 7 eligible ones.
For students:
There are 13 eligible students, and we need to select 5 of them for the committee. Using the combination formula again:
C(13, 5) = 13! / (5!(13 - 5)!) = 1287.
Therefore, there are 1287 ways to select 5 students from the 13 eligible ones.
To form the committee, we multiply the number of ways to select faculty members by the number of ways to select students:
35 * 1287 = 44,895.
Hence, there are 44,895 ways to form the committee consisting of 4 faculty members and 5 students from the eligible candidates.
A map of your town has a scale of 1 inch to 0.25 miles. There are two roads that are 5 inches apart on the map. What is the actual distance between the two roads?
Answers
Answer:
1.25 miles
Step-by-step explanation:
Find the approximate radius of a circle with a circumference of 2 kilometers. Use 3.14 for π. Round to the nearest hundredth if necessary.
Answers
Answer:
0.32 (rounded to the nearest hundredth)
Step-by-step explanation:
If you have any questions ask me please! :)
Answer:
0.32 km
Step-by-step explanation:
Using the formula r = c / (2 * π), where c = 2 kilometers and π = 3.14, we can calculate the radius as:
r = 2 km / (2 * 3.14)
r = 2 km / 6.28
r = 0.31847133758 km
Rounding this to the nearest hundredth gives:r ≈ 0.32 km
Therefore, the approximate radius of the circle is 0.32 kilometers.
A teacher selects two different numbers, x and y, and states that x + y = 0. Which statement could be true about these two numbers?
Both numbers are positive.
Both numbers are negative.
One number is zero and the other is positive.
One number is positive and the other is negative
Answers
Answer:
One number is positive, and the other is negative. The numbers are additive inverses. x + y = 0 -----> y = -x
This year, Brad is a photographer for his school newspaper. He takes 5 color photos for every 2 black-and-white photos.
Complete the table.
Color photos 5 15
30
Black-and-white photos 2
8
Answers
Color 5 - 2 Black-and-White
Color 10 - 4 Black-and-White
Color 15 - 6 Black-and-White
Color 20 - 8 Black-and-White
Color 25 - 10 Black-and-White
Color 30 - 12 Black-and-White
Answer:
Colored photo I Black photo
5 2
10 4
15 6
20 8
25 10
30 12
35 14
40 16
45 18
50 20
The real estate term lake frontage refers to the distance along the edge of a piece of property where it touches a lake. Determine the lake frontage of Lot B to the nearest tenth.
answer fast
Answers
Answer: Part a) The lake frontage of lot A is 50.9 yd
Part b) The lake frontage of lot B is 58.4 yd
Part c) The lake frontage of lot C is 64.7 yd
Part d) The prices of the other lots, from least to greatest, are $286,836.94 and $317,779.96
Step-by-step explanation: Took this test in middle school and im now in 10th grade... your welcome.
English is the predominant language spoken in Chile. Question 1 options: True False
whoever answers first gets the crown
Answers
Answer: The answer is false!
Step-by-step explanation: You may think its true but NO, its not true!
Answer: false
Step-by-step explanation:
the correct answer is a dialect of spanish, chilean spanish.
The scale of the architectural drawing is 2 inches = 5 feet. If a building is 10 inches wide on the drawing, how wide will it be in real life?
A
35 feet
B
20 feet
C
30 feet
D
25 feet
Answers
Answer:
The answer is D!
Step-by-step explanation:
Firs you have to do 10 divided into 2, the answer is 5. Now you have to do 5 x 5 that will get you 25. So D is the answer! (25 feet)
If you have any question ask me please! :)
PLZ HELP ASAP
NOT MULTIPLE CHOICE USE ORDER OF OPERATIONS
Answers
Answer:
16/61
Step-by-step explanation:
(a + b)^5 / a - 2b^2
= (6 + -8)^5 / 6 - 2(-8)^2
= (6 - 8)^5 / 6 - 2(-8)^2
= -32 / -122
= 16 / 61
Which of the following letters drawn on a coordinate plane would represent a function?
A) T
B) F
C) B
D) V
Answers
Hoped this helped!
Answer:
V
Step-by-step explanation:
Any vertical line passing through it would only touch it once.
Nia answered 80% of the 40 questions on a test correctly. How many correct answers did she have?
Show your work
Answers
Answer:
If 80 percent of 40 question
80/100×40
= 32
She corrected 32 answer
If snow accumulates at a rate of 2 inches every 3 hours, how many hours will it take to accumulate 2 feet of snow?
Answers
Answer:
12hours
Step-by-step explanation:
24inch-2feet
24/2=12
12 hours !!
Explanations:
2 feet = 24 inches
2 inches per 3 hours
24 divided by 2 = 12
`1\frac{1}{2}`quarts of sparkling water and `\frac{3}{4}`quart of grape juice. a. How much sparkling water would you need to mix with `9` quarts of grape juice? b. How much grape juice would you need to mix with `\frac{15}{4}`quarts of sparkling water? c. How much of each ingredient would you need to make `100` quarts of punch?
Answers
Answer:
Step-by-step explanation:
18 quarts
PLS HELP ME
ONLY PEOPLE WITH REAL AWNSERS!!
Answers
Answer:
7:20 p.m.
Step-by-step explanation:
First, we can find the distance that each friend will be from their house at the time when they meet each other.
To find this, we can multiply the ratio \(8 \text{ mi} : 7 \text{ mi}\) by a constant such that the sum of both numbers in the ratio is 20, since the friends' houses are 20 miles apart. Solving for this constant:
\(\dfrac{20}{7 + 8} \\ \\ = \dfrac{20}{15} \\ \\ \boxed{=\dfrac{4}{3}}\)
Multiplying the constant by both sides of the ratio:
\(\dfrac{4}{3}\left(8 \text{ mi}) : (7 \text{ mi}\right)\dfrac{4}{3}\)
\(\boxed{= \dfrac{32}{3} \text{ mi} : \dfrac{28}{3} \text{ mi}\right)}\)
So, we know that the first friend will have traveled 32/3 or 10 2⁄3 miles when they meet, and the second friend will have traveled 28/3 or 7 1⁄3 miles.
Now, to calculate what time they will meet, we can divide how far one of the friends has traveled by how fast they were traveling. This will give us the minutes it will take them to get to the meeting place. We can then add that amount of minutes to 6:00 p.m. to calculate when they will meet.
I will use the fast friend (traveling at 8 mph).
\(\dfrac{32}{3} \text{ mi} \cdot \dfrac{60 \text{ min}}{8 \text{ mi}}\)
— Also note that I substituted 1 hour for 60 minutes in the mph ratio.
\(= \dfrac{32}{3} \not\text{mi} \cdot \dfrac{60 \text{ min}}{8 \not\text{mi}}\)
\(= \dfrac{32 \cdot 60}{3 \cdot 8} \text{ min}\)
\(= \dfrac{32}{8} \cdot \dfrac{60}{3} \text{ min}\)
\(= 4 \cdot 20 \text{ min}\)
\(\boxed{= 80\text{ min}}\)
Adding those minutes to 6:00, noting that 80 min = 1 hr 20 min:
\(\text{ } \ \, 6\!:\!00 \text{ p.m.}\\\underline{+ 1\!:\!20}\\\\\text{ }\, \boxed{7\!:\!20 \text{ p.m.}}\)
So, the friends will meet at 7:20 p.m.
Answer:
7:20
I think
T-T
I need help ASAP will give Brainliest to the first one that answers.
Answers
Answer:
3rd option
Twice as many students chose ice cream as chose fruit for their favourite snack
Please help I need it now, asap it's due in 5 mins.
Answers
Answer:
25
Step-by-step explanation:
\(105+3x=180 \\ \\ 3x=75 \\ \\ x=25\)
Answer:
The answer is 25 degrees
Step-by-step explanation:
If you subtract 180 - 105 then you get 75.
Then you divide it by 3.
One circle is 360 degrees thus half of it is 180.
If you know one angle is 105 degrees then subtract it from 180.
If the number is 3x then you have to divide it by 3 to get x alone.
Hope it helps! :)
Which statements are TRUE? Choose ALL the correct answers pls.
Answers
Answer:
Not enough information.
Step-by-step explanation:
Make sure when you are asking a question add all of the information. You can update your post and comment on this answer and I will edit it with the answer.
PLEASE I REALLY NEED HELP IT'S DUE SOON AND IM VERY CONFUSED!!!!
Answers
Answer:
D
Step-by-step explanation:
if im correct the answer is D
Answer:
C
Step-by-step explanation:
$450 at 5.2% interest for
3 years
inerest number:
new balance:
Answers
For the representation, describe a possible sequence of transformations.
(x, y) arrow-right (−x − 4, y + 3)
Complete the description.
The representation is a translation
__ unit(s) right and
__ unit(s) up and a reflection across the
x/y (select)
-axis.
Answers
Answer:
1
5
Step-by-step explanation:
Tyler used 1 and 1/4 gallons of paint to paint 5/7 of a fence. How many gallons will it take to paint the whole fence? Select the division equation that can represent this situation.
Answers
Answer:
The correct answer is the first one, 1 and 1/4 divided by 5/7 = ?
Step-by-step explanation:
There's not much else to it.
It's just the answer that makes the most sense.
Just use the elimination sequence.
I hope this helps!
Need help for 2 and 3realy don't understand 3
Answers
Answer:
p=6 and r=48
Step-by-step explanation:
19=4p-5
19+5=4p
24=4p
24/4=p
6=p
check
19=4p-5
19=4x6-5
19=24-5
19=19
3)r/2-8=16
r/2=16+8
r/2=24
r=24x2
r=48
check
r/2-8=16
48/2-8=16
24-8=16
16=16
Please get right and do quick
Answers
Answer:
h = S/(2 π r) - r
Step-by-step explanation:
Solve for h:
S = 2 π r (r + h)
S = 2 π r (r + h) is equivalent to 2 π r (r + h) = S:
2 π r (r + h) = S
Divide both sides by 2 π r:
r + h = S/(2 π r)
Subtract r from both sides:
Answer: h = S/(2 π r) - r
Answer:
h=s/(2 π r) -r
Step-by-step explanation:
Mathamatics 20 Points!
Answers
Answer:
Step-by-step explanation:
so you spilt the shape in half.
cut out the top of the T. letssolve the top part.
10 times 2 times 5.
(equals 100)
and then lets solve the little rectangle at the bottom. 2 times 3 times 2 is 12.
(dont forget to add!)
100+12 is 112.
the answer is the 3rd from the top.
hope this helps.
Pls the equation should be y = mx + b this is my 3rd attempt at getting an answer GIVE ME THE ANSWER PLS
Answers
(4 3/10 −2 7/15 ) * 20 ( 4 3/10 and 2 7/15 are fractions)
Answers
Answer:
110/3 or 36 2/3
Step-by-step explanation:
4 3/10-2 7/15=11/6
11/6•20=110/3
Answer:
110/3 or 36 2/3
Step-by-step explanation:
Evaluate the parenthesis first which is 11/6. Multiply that by 20 to get 110/3 or 36 2/3
Which number line best shows the position of square root of 13?
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 1.3 and labeled as square root of 13.
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 2.6 and labeled as square root of 13.
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 3.6 and labeled as square root of 13.
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 4.3 and labeled as square root of 13.
Answers
Answer:
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 3.6 and labeled as square root of 13.
I really need help with this question.
What is 2+2?
Answers
Answer:
22
Step-by-step explanation:
You do maths
Answer:
\(\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\)
\(2 + 2 \\ = 4\)
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
\( \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}\)