Answer: (1)[tex]\sqrt{10}, \sqrt{27}, \sqrt{99}[/tex], (2) [tex]\sqrt{14}, \sqrt{24}, \sqrt{34}, \sqrt{44}, \sqrt{54}[/tex], (3) [tex]\sqrt{0.33}[/tex] are irrational numbers.
Explanation:
(1)
A number is called an irrational number if it can not be written as a simple fraction form. For example [tex]\sqrt{2}, \sqrt{3},\sqrt{5},...[/tex].
If a real number is multiplied by an irrational number then the result is an irrational number.
[tex]\sqrt{49}=7[/tex]
[tex]\sqrt{64}=8[/tex]
Since the result of these square roots are a rational number, therefore [tex]\sqrt{49}, \sqrt{64}[/tex] these are rational numbers and [tex]\sqrt{10}, \sqrt{27}, \sqrt{99}[/tex] are irrational numbers.
(2)
[tex]\sqrt{14} =\sqrt{7} \sqrt{2}[/tex]
[tex]\sqrt{24} =2\sqrt{6}[/tex]
[tex]\sqrt{14} =\sqrt{17} \sqrt{2}[/tex]
[tex]\sqrt{44} =2\sqrt{11}[/tex]
[tex]\sqrt{54} =3\sqrt{6}[/tex]
All the number in the option can not be written in the form of simple fraction, so all the options represents the irrational numbers.
(3)
[tex]0.25=\frac{1}{4}[/tex]
[tex]\sqrt{0.25} =0.5=\frac{1}{2}[/tex]
[tex]\sqrt{0.33} =\frac{\sqrt{33}}{10}[/tex]
Therefore, the number [tex]\sqrt{0.33}[/tex] is an irrational number. The numbers [tex]0.5,\sqrt{0.25}[/tex] are rational numbers.
Solve for the variable c in this equation a(c + b) = d
a. c=d-ab/a
b. c=ab-d/a
c. c=d+ab/a
d. c=d-ab\b
Answer:
c = d - ab / a
Step-by-step explanation:
hope this helps
What is the value of x?
A.35
B.60
C.155
D.25
Answer: the answer is 35 degrees
Step-by-step explanation:
HELP!
Simplify the following expression: (−1)(−7)(4) (1 point)
12
28
−12
−28
Two factors are multiplied and their product it 34.44. One factor is a whole number. What is the least number of decimal places in the other factor. Explain.
The number of decimal places is the count of numbers after the decimal point in a decimal number. The least number of decimal places of the decimal factor is 2.
Let the factors be x and y; where:
[tex]x \to[/tex] whole number
[tex]y \to[/tex] number with decimal
The possible products that give 34.44 are represented as:
[tex]x \times y = 34.44[/tex]
So, we have:
[tex]2 \times 17.22 = 34.44[/tex]
[tex]3 \times 11.48 = 34.44[/tex]
[tex]4 \times 8.61 = 34.44[/tex]
[tex]5 \times 6.888 = 34.44[/tex]
[tex]6 \times 5.74 = 34.44[/tex]
And so on....
From the above computation, we have the decimal places of factors that represent y to be:
2 decimal places; i.e. numbers like 17.22, 11.483 decimal places; i.e. numbers like 6.888By comparing the decimal places of these two factors, we can conclude that the least number of decimal places is 2.
Read more about decimal places at:
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Number 40 i don't get
Use the data set to answer the question. Correct value: 27 Data set: 19, 31, 22, 28, 24 Which best describes the data set?
The dataset shows moderate variability around a median of 24. The mean is 24.8, the mode is not available, and the range of the data is 12.
Explanation:To describe the given data set: 19, 31, 22, 28, 24, we need to analyze several statistical measures including mean, median, mode, range, and possibly standard deviation.
First, let's calculate the mean which is the total sum of the data points divided by the number of points. Therefore, (19+31+22+28+24)/5 = 24.8
Next, the median is the middle term when the data is written in ascending order. In this case, 24 is the median as it is the middle value.
This data set has no repeating numbers hence there is no mode.
The range tells us the spread of the values, determined by subtracting the smallest value from the largest. Therefore, 31( largest) - 19(smallest) = 12.
Without further data, standard deviation is impractical to calculate. Based on the numbers we do have, this dataset appears to have somewhat moderate variability and a median value of 24.
Learn more about Data Analysis here:https://brainly.com/question/31451452
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What is 100-30÷5 value 14
davids math grades are 85 49 67 and 83 on 4 tests. what grade must he earn on the next test to have a mean of 75
Which of the following expressions is equal to 5 - 2m?
7 - 2(m + 1)
7 - (2m - 5)
7 - 2(m - 2)
1 and 20 are alternate exterior angles true or false
Manny drove 45 miles in 0.75 hours. What was the average rate that he drove in miles per hour
What is the value of b in -3b+5=13
Ethan's taxable income is $87,525. Use this tax schedule to calculate the total amount he owes in taxes. $10,425.75 $18,617.75 $26,123.75
Answer:
$18,617.75
Step-by-step explanation:
$87,525-$77,100=$10,425 (the amount over $77,100)
$10,425 x .28=$2,919 (the 28% taxed amount over $77,100)
$2,919+$15,698.75 (the already taxed amount in the chart)=$18,617.75
You talk to a friend who lives in a different state. She tells you that today it is 12° below zero where she lives. You tell her it is 54° where you live. What is the difference in temperatures?
You need to haul a load of patio bricks to a job site. Each brick weighs 4 pounds 14 ounces. Your truck can carry a 3/4-ton load. How many bricks can your truck carry in a full load?
2n+8n=-60
help Noelie please help babes show work
The planet mercury is roughly 2 over five the size of earth. Write down the fraction as a decimal
yuna missed Five Points out of 100 points on her math test what decimal number represents the part of her math test that she answered correctly
THE answer would be .95 because 100 - 5 = 95 or 95/100 = .95.
A 1.5 lb package of seedless grapes costs $3.81. Round to the nearest
hundredth of a dollar. Find the unit price
A unit price of an object is simply the ratio of the total price of the object over the total mass, hence:
unit price = total price / total mass
unit price = $3.81 / 1.5 lb
unit price = $2.54 per pound
Answer:
$2.54
Final answer:
The unit price of the seedless grapes is calculated by dividing the total cost ($3.81) by the weight (1.5 lb), resulting in a unit price of $2.54 per pound.
Explanation:
To find the unit price of seedless grapes, you divide the total cost of the package by the weight of the package. If 1.5 lb of grapes costs $3.81, you would calculate the unit price by doing the following:
Divide $3.81 (total cost) by 1.5 lb (total weight).
The unit price is $2.54 per pound ($3.81 ÷ 1.5 lb = $2.54).
The unit price is helpful for comparing costs of similar products and making informed shopping decisions. Unit prices are displayed in stores to assist consumers with these comparisons.
Define the term family therapy
Suppose the pattern 8, 16, 24, 32, ... is continued forever. Will the number 174 appear in the pattern? Why or why not?
174 will not appear in the pattern 8, 16, 24, 32,
The given pattern 8, 16, 24, 32, ... is an arithmetic sequence where the first term (a) is 8 and the common difference (d) is 8.
We can use the formula for the nth term of an arithmetic sequence, which is:
an = a + (n-1)d
To find out if 174 is in the sequence, we set an to 174 and solve for n:
174 = 8 + (n-1)8
174 = 8 + 8n - 8
174 = 8n
n = 174 / 8
n = 21.75
Since n must be an integer for 174 to appear in the sequence, and 21.75 is not an integer, 174 will not appear in the pattern.
carlie spent $42 at the salon. Her mother loaned her the money carlie will pay her mother 15% of $42 each week until the loan is repaid. About how much will Carlie pay each week?
Artesia found a sale on skates. She got 1/5 off the regular price of $34.50. What was the sale price of her skates?
The speed limit is 35 MPH. What is the translation?
I NEED IT NOW
GO GO GO GO
The speed limit of 35 mph translates to approximately 56.327 km/hr.
The translation of the car's speed from kilometers per hour to miles per hour is as follows:
12 hours ago: 1 km/hr = 0.621371 miles/hour
4 hours ago: 30 km/hr = 18.6411 miles/hour
1 hour ago: 100 km/hr = 62.1371 miles/hour
15 minutes ago: 350 km/hr = 217.479 miles/hour
6 minutes ago: 1000 km/hr = 621.371 miles/hour
3 minutes ago: 3000 km/hr = 1864.11 miles/hour
Now: 20,000 km/hr = 12427.4 miles/hour
The speed limit of 35 mph translates to approximately 56.327 km/hr. The car is currently exceeding the speed limit.
what is the structure of a poem
Answer:
Poems are mostly written in lines and stanzas but it doesn't necessarily have a specific structure as such.
Explanation:
Structuring of a poem can be in multiple ways and there are no hard and fast rules. Though it is written in lines and stanzas, aside from that, there is no definite rule for writing a poem. Depending on the type of poem you are planning to write, it is required to try to follow the characteristics of the certain genre. For e.g, a sonnet is a fourteen line poem while an epic will deal with heroes, the free verse will be written in the author's own way, how long the lines will be or what shape it will take etc all depending on the writer. In short, the length of the line, the breaks, arrangement, rhythm or speed all depend on the content of the poem, and what it is about. Structure of a poem will all vary, depending on the type of poem written. So, to conclude, there is just no particular solution for writing a poem. It can be written in whatever way the writer wishes to, except that depending on the type of poetry s/he decides to write, it will have to follow the corresponding genre of that poetry.
2(10.7r - 9.5) = 33.8 rounded to the nearest tenth
Find the value of the point on the number line.
is it
3/10
2/9
2/8
or
3/8
please help
thank you so so so much
Graph the line for y − 6 = −4(x+2) on the coordinate plane.
What are the points I would graph???
y=2x+4
The y-intercept is 4.
The x-intercept is -2.
The slope is 2.
The point (2,-6) runs through the line.
Freida friendly works for a local car dealer ship. She noticed that 3/4 of the cars are sedans and that half of them are white. What fraction of the dealership cars are white sedans?
A single cell can either die, with probability .1, or split into two cells, with probability .9, producing a new generation of cells. Each cell in the new generation dies or splits into two cells independently with the same probabilities as the initial cell. Find the probability distribution for the number of cells in the next generation.
The probability distribution for the number of cells in the next generation is that there is a 0.1 probability of having zero cells if the original cell dies and a 0.9 probability of having two cells if the original cell splits and both daughter cells survive.
Explanation:To find the probability distribution for the number of cells in the next generation, we analyze the outcomes of a single cell which can either die with a probability of 0.1 or split into two cells with a probability of 0.9. Since each cell behaves independently, we use the product rule of probability for each scenario.
There are two possible outcomes for a single cell:
The cell dies (probability 0.1)The cell splits into two cells (probability 0.9).If the initial single cell splits, the next generation will consist of two cells. These two cells will then independently either die or split with the same probabilities as mentioned above. The probability distribution for the number of cells in the next generation is therefore:
Zero cells: This only happens if the initial cell dies, which has a probability of 0.1.One cell: This cannot happen because a cell either dies or splits into exactly two cells.Two cells: This occurs if the initial cell splits and neither of the two new cells dies, which has a probability of 0.9 (since we assume that the probability of both of the daughter cells surviving and splitting is included in the 0.9 probability).Here, the sum of these probabilities adds to 1, meaning no other outcomes are possible within the scope of this single-generation model.