Find the distance between \(\frac{7}{12}\) and \(\sqrt{} \frac{16}{81}\) on a number line. please show your work and explain it.
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Answer:
5/36
Explanation:
Distance on a number line is basically difference between two numbers. So we subtract the two numbers. This can be solved on a calculator btw. 7/12 - √16/81 = 5/36.
Related Questions
Simplify the expression. Explain each step. 3+(b+8)= 3+(8+b)
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Answer:
you are using the commutative property of addition
It means that you can switch them around
Two equations are shown: Equation 1: 3 4 (x−12)=12 Equation 2: 3 4 y−12=12 Solve each equation. Then, enter a number in each box to make this statement true.
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Answer:
x = 28
y = 32
Step-by-step explanation:
y=32
your welcome;)
Apparently Nobody is able to answer this question. You can search it up but I've tried that already, still no answer.
But anyways... The question is : 3x+1
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Answer:
if it is odd then multiply it by 3 and add 1, and if it is even, divide it by 2. Then repeat this process as long as you can.
Step-by-step explanation:
hope dis helped:)
The simplified form of \(\frac{\sqrt[3]{81} }{\sqrt[3]{-3} }\)
Answers
Answer:
-3
Step-by-step explanation:
\(\frac{\sqrt[3]{81} }{\sqrt[3]{-3}}\\\)
the index of both the numerator and denominator are "3", so they cancel each other out:
\(\frac{\sqrt{81} }{\sqrt{-3}} \\=\frac{9}{-3}\\ =-3\)
Hope this helps! :)
Answer:
-3
Step-by-step explanation:
A straight line is a function if it can be written in the form y = mx + b.
Question 1 options:
True
False
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Pls help on IXL called G.3 Calculate time from velocity and distance
Quaestion: Betty is driving her car toward a small town at 100 kilometers per hour. She plans to meet her stepbrother in the town in 4.5 hours. How long will it take her to drive 40 kilometers at her current velocity?
Write your answer to the tenths place.
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Which sequence of transformations on △ABC will result in a figure that is congruent to △ABC?
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Answer: A.) c is -1 -2 b is -4 -2 a is -3 -3
Step-by-step explanation: sry but thats all i know i hoped i helped a lil bit :)
Hii i need help with these ty :)
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2. answer is c
3. B=20 H=2 V=125.6
4 don't really understand
The ratio between containers A and B equals to the ratio of heights of the containers. Find the volume of container A when the height of the container A is 0,5 m and the volume of the container B is 3000 liters and the height is 0,75 m.
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Jada is making pink paint by mixing 3.5 quarts of red paint with 3/4 quarts of white paint. How much red paint should be mixed with 6 cups of white paint? *
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So if 3 cups of white need 14 cups of red
So we need to double the formula
6 cups of white needs 28 cups of red
28 cups of red = 7 quarts
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?
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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.
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.
When are x+3 and 2x equal? When are they not equal? Use your diagrams to explain.
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Answer and Step-by-step explanation:
To get them equal, x must be equal to 3.(3) + 3 = 62(3) = 6They are not equal in any other situation.Find the volume of each figure. Round your answer to the nearest hundredth, if necessary.
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Answer:
2280 ROUNDING:228
Step-by-step explanation:
V=πr2h=π·112·6≈2280.79627
Find the length of the arc of the semicircle.
Use 3.143.14 as an approximation for \piπ. Round your answer to two decimal places.
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So to find the arc u take 2x3.14x3.14/2=9.8596
Round of to 2d.p.=9.86
Molten lava 50-feet thick cools at a rate of about 20 degrees Fahrenheit per month. What is the overall change in temperature of molten lava that is 50-feet think after four months?
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There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials..
Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11
Compare the theoretical probability and experimental probability of pulling a green marble from the bag.
Choice A: The theoretical probability, P(green), is 50%, and the experimental probability is 11.5%.
Choice B: The theoretical probability, P(green), is 25%, and the experimental probability is 25%.
Choice C: The theoretical probability, P(green), is 25%, and the experimental probability is 17.5%.
Choice D: The theoretical probability, P(green), is 50%, and the experimental probability is 7.0%.
PLEASE HELP ASAP!!!!!!!
Answers
The bag contains a total of 40 marbles, and 10 of them are green. Therefore, the theoretical probability of pulling a green marble is:
P(green) = 10/40 = 1/4 = 0.25 = 25%
To calculate the experimental probability of pulling a green marble, we can use the frequency table given in the problem. Out of the 40 trials, a green marble was pulled 7 times. Therefore, the experimental probability of pulling a green marble is:
Experimental probability of pulling a green marble = Frequency of green marbles / Total number of trials
= 7/40
= 0.175
= 17.5%
Therefore, the correct answer is Choice C: The theoretical probability, P(green), is 25%, and the experimental probability is 17.5%.
The height of a cylinder is 4 millimeters. The circumference of its base is 10pi mm.
a. What is the radius of the cylinder? Explain.
b. Find the volume of the cylinder to the nearest tenth.
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Answer:
Solutions below.
Step-by-step explanation:
Cylinder FormulasLets define the required formulas for the question regarding the cylinder.
The base of the cylinder is a circle, therefore the formula for the circumference of the base is:
\(2\pi r\)
The formula for the volume of the cylinder is:
\(\pi r^{2} h\)
Questiona) Given from the question, the circumference of the base is \(10\pi\) mm.
Therefore, we can use the circumference formula to find radius of the base.
\(2\pi r = 10\pi \\2r = 10\\r = \frac{10}{2} \\r = 5mm\)
b) With all the parameters given, we can find the volume of the cylinder.
Volume of the Cylinder =
\(\pi r^{2} h\\= \pi (5)^{2} (4)\\= 100\pi mm^{3} \\= 314.2mm^{3} (nearest\ tenth)\)
On a farm, the farmer decides to give pizza to her 15 ducks as a special treat. She orders 3 pizzas, and the total price is $23.46. What is the unit price of each pizza? (4 points)
Group of answer choices
$70.38
$5.00
$1.56
$7.82
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Answer:$7.82
Step-by-step explanation:
please help will give brainliest due in 30 minutes!!
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Just need help on this.
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Answer:
start answer goes to: 4/9, then 0.78, then -1/8, then -2.1, then -1 2/3, then -1.82, then -3 1/2, then -1.728, finally 14.44
List all the numbers you can for (?) in the fraction ?/10. Each choice must be less then ten, and the fraction formed must be in simplest form [For the ones who can't read what it says.]
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Answer:
1, 2, 3, 4, 5, 6, 7, 8, and 9.
Step-by-step explanation:
5/7 x 6/35. Please help me. If you get it right, Ile give you this coffee --> ☕. if you get it wrong, you get this Chesnut --> Chesnuts are useless you know? But coffee! Coffee is good
Answers
Answer: 6/49
Step-by-step explanation:
5/7 x 6/35=
(5*6)/(7*35)=
((5/5)*6)/(7*(35/5))= ==> 5 and 35 both have a GCF of 5
(1*6)/(7*7)=6/49
7/5 • 6/35
42/175
To Simplify, divide 42/175 by 7 and it should equals, 6/49.
Susan has a new mountain bike. For each mile that she rides her bike, her front tire
rotates one complete turn approximately 776.1 times.
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A:
answer: 63360.
work: multiply 5280 by 12.
B:
answer: 4876.38
work: C=2πr=2·π·776.1≈4876.38012
(I'm not that great with circumference, but I tried my best to show work. I hope I answered your question.)
What is the constant of proportionality?
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A tourist attraction provides a guide for every group of 15 visitors. One Saturday, the owner uses the equation 15 × 8 = 120 to find the number of visitors that received a guided tour. What does the 8 in the equation represent?
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Answer:
The number of groups that received a guided tour that day.
Step-by-step explanation:
Multiply the polynomials. (x2−4)(x2+3x−5)
Answers
Answer:
x4+3x3 - 9x2 - 12x+20
If 3m = 12, what is the value of 6(m - 1) ?
Answers
Answer:
1. m=4
2. 6m-6
Step-by-step explanation:
well 3m=12 divide 3 on both sides m=4
so 6(m)=6m-6(1)= 6m-6
Step by step:
distribute the terms, (6 x m) + (6 x - 6)
left with 6m + (-6) or 6m-6
courtney has 155 coins in her purse. all of the coins are quarters and dimes, worth a total of $30.20. how many quarters does she not have?
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Answer: she would have 98 quarters
*20 POINTS!!* QUESTION IS ON ATTACHMENT!!
Answers
Step-by-step explanation:
3u + 40 + 2u = 6u - 30 - u
5u + 40 = 5u - 30
40 = -30
that is never right this has no solution at all.
2.2z + 3z = 4.5 - 3.2
5.2z = 1.3
z = 1.3/5.2 = 0.25 or 1/4
this has exactly one solution.
(4/5)x + 2/3 + (1/5)x = x
4/5 + 1/5 = 5/5 = 1/1 = 1, so
x + 2/3 = x
2/3 = 0
that is never right this has no solution at all.
2.3y + 3.2 - y = 2.1 + 1.3y + 1.1
1.3y + 3.2 = 1.3y + 3.2
3.2 = 3.2
this is always correct, no matter what numbers we use for y.
so, this has infinitely many solutions
(2/3)x + 2/3 + (1/5)x = 2/3x
2/3 + (1/5)x = 0
(1/5)x = -2/3
x = -2/3 / 1/5 = (-2×5)/(3×1) = -10/3
this has exactly one solution.
20 + 4r = 32 - 2r
20 + 6r = 32
6r = 12
r = 2
this has exactly one solution.
20+4r=32-r
20+6r=32
6r+12
R=2
Hope this helps