To which number set(s) does the following number belong ? sqrt(18) Multiple answers may be correct. Mark all correct answers . irrational numbers rational numbers whole numbers counting or natural numbers real numbers integers No number set describes this number.
Answers
irrational numbers and real numbers
Explanation:Given:
\(\sqrt{18}\)To find:
the number set the number belongs to
Rational numbers are numbers that can be written in fractional form. The roots of the perfect squares are rational numbers as they give whole numbers.
Irrational numbers are numbers that cannot be written in fractional form. The roots of non-perfect squares are irrational
\(\begin{gathered} we\text{ will check if }\sqrt{18}\text{ is a perfect square} \\ \sqrt{18}\text{ = }\sqrt{2\times9}\text{ } \\ =\text{ 3}\sqrt{2} \\ \\ \sqrt{18\text{ }}\text{ is not a perfect square} \end{gathered}\)Hence, it is an irrational number
Whole numbers are whole with no decimals. Irrational numbers give decimals that do not end
Natural numbers are not irrational as the numbers are whole
Real numbers include both irrational numbers and rational numbers. As a result, √18 is a real number
Integers are natural numbers, opposites, and zero. They do not include decimals. Hence, they are rational
The correct answers are irrational numbers and real numbers
Related Questions
Simplify: 2x^2 - 6x^2
Answers
Answer
\(2x^2-6x^2=-4x^2\)Explanation
Given:
\(2x^2-6x^2\)To simplify the expression, we can find a common factor between the terms given, which, in this case, is x²:
\(=x^2(\frac{2x^2}{x^2}-\frac{6x^2}{x^2})\)\(=x^2(2-6)\)Then, we can add two to –6, obtaining -4:
\(=x^2(-4)\)Multiplying both factors we get:
\(=-4x^2\)A study of the effect of television commercials on 12-year-old children measured their attention span, in seconds. The commercials were for clothes, food, and toys.
Clothes Food Toys
43 30 52
24 38 58
42 46 43
35 54 49
28 47 63
31 42 53
17 34 48
31 43 58
Required:
a. Find the values of mean and standard deviation.
b. Is there a difference in the mean attention span Of the children for the various commercials?
Answers
Answer:
(a)
Mean
\(\bar x_1 = 31.375\)
\(\bar x_2 = 41.75\)
\(\bar x_3 = 53.00\)
Standard deviation
\(\sigma_1 = 8.73\)
\(\sigma_2 = 7.65\)
\(\sigma_3 = 6.04\)
(b) Yes, there is a difference in the mean
Step-by-step explanation:
Solving (a): The mean and standard deviation of each commercial
This is calculated as:
\(\bar x = \frac{\sum x}{n}\)
For clothes:
\(\bar x_1 = \frac{43+24+42+35+28+31+17+31}{8}\)
\(\bar x_1 = \frac{251}{8}\)
\(\bar x_1 = 31.375\)
For food:
\(\bar x_2 = \frac{30+38+46+54+47+42+34+43}{8}\)
\(\bar x_2 = \frac{334}{8}\)
\(\bar x_2 = 41.75\)
For toys:
\(\bar x_3 = \frac{52+58+43+49+63+53+48+58}{8}\)
\(\bar x_3 = \frac{424}{8}\)
\(\bar x_3 = 53.00\)
The sample standard deviation is:
\(\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}\)
For clothes:
\(\sigma_1 = \sqrt{\frac{(43 - 31.375)^2 +.............+(31 - 31.375)^2}{8-1}}\)
\(\sigma_1 = \sqrt{\frac{533.875}{7}\)
\(\sigma_1 = \sqrt{76.2678571429}\)
\(\sigma_1 = 8.73\)
For food:
\(\sigma_2 = \sqrt{\frac{(30 - 41.75)^2 +............+(43 - 41.75)^2}{8-1}}\)
\(\sigma_2 = \sqrt{\frac{409.5}{7}}\)
\(\sigma_2 = \sqrt{58.5}\)
\(\sigma_2 = 7.65\)
For toys:
\(\sigma_3 = \sqrt{\frac{(52-53.00)^2+...................+(58-53.00)^2}{8}}\)
\(\sigma_3 = \sqrt{\frac{292}{8}}\)
\(\sigma_3 = \sqrt{36.5}\)
\(\sigma_3 = 6.04\)
Solving (b): Difference in mean in the commercials;
In (a), we have:
\(\bar x_1 = 31.375\)
\(\bar x_2 = 41.75\)
\(\bar x_3 = 53.00\)
\(\bar x_1 \ne \bar x_2 \ne \bar x_3\)
Hence, there is a difference in their means
My dad was painting our living room. He started with 5/9 of a can of paint.
He used 1/3 of the can. How much paint did he have left?
Answers
Answer:
0.2 rounded up or 1/5 (also rounded up)
Maria wants to spend less than $110. She wants to buy some shirts, s.
that are priced at $9 each. She also decided to buy a pair of high heels for
$60. WRITE THE INEQUALITY that represents the word problem to
determine the number of shirts she can buy.
Answers
she can buy 5 shirts
Jake has 4 hours before bedtime. He must spend 1 1/2 hours doing homework. The rest of the time will be spent doing puzzles. It takes Jake 3/4 hour to
complete each puzzle. Write an equation that models the number of puzzles (p) that Jake can complete before bedtime.
Answers
Answer:
3 1/2 = 1/2*p-2
Explanation: p is number of puzzles
Answer:
He completes 3 1/3 puzzles
Step-by-step explanation:
1 hour 30 mins+ 45 minutes+45 minutes+45 minutes+15 minutes = 4hrs
write and equation for the nth term of the geometric sequence for 2,8,32,128
then find a6 round to the nearest tenth if necessary.
Answers
The sixth term of the geometric sequence is 2048.
The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.
The formula for the nth term (an) of a geometric sequence is given by:
an = a1 * r^(n-1)
where a1 is the first term and r is the common ratio.
For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:
an = 2 * 4^(n-1)
To find a6, we substitute n = 6 into the formula:
a6 = 2 * 4^(6-1)
= 2 * 4^5
= 2 * 1024
= 2048
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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,
Then find a6. Round to the nearest tenth if necessary.
a = 5×4 X
a1 = n-1 X
QR has a midpoint at M (6,6). Point R is at (10,6). Find the coordinates of point Q.
Answers
Answer:
Step-by-step explanation:
Q (2, 6)
Solve the equation. Please help
Answers
\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)
Step 1: Add 3/4 on both sides
We get
2y/3 = 1/12+3/4
We add fractions by calculating a common denominator, adjusting the numerators accordingly and adding them. See this in action below:
12 and 4 have a common multiple in 12 which will be our common denominator. Now, 1/12 does not need to be adjusted, but 3/4 becomes 3*3 / 3*4 = 9/12.
In total 1/12 + 9/12 = 10/12
So, we have 2y/3 = 10/12
Now we multiply both sides by 3, so that the 3 will cancel out the 3 in the denominator on the left side:
2y =30/12
Now we just need to divide by 2 and get the solution:
y = 15/12 = 3*5 / 3*4 = 5/4
Therefore the final answer is A:
The solution set is {5/4}
You and some friends buy hamburgers
and milkshakes for lunch. A hamburger
costs $1.50 and a milkshake costs $2.00.
The total bill for 12 items is $21.50.
How many hamburgers and how many
milkshakes did your group buy?
(Please hurry and show work.)
Answers
Answer:
5 burgers and 7 milkshakes
Step-by-step explanation:
1.5x5=7.5
2x7=14
7.5+14=21.5
Hurry and answer this please I have to have this right or I'll have to be held back.From a group of 5 boys and 3 girls, a boy AND a girl will be selected to attend a conference. In how many ways can the selection be made?
Answers
Answer:
15 ways
Step-by-step explanation:
girl 1 and boy 1
girl 2 and boy 1
girl 3 and boy1
girl 1 and boy 2
girl2 and boy 2
girl 3 and boy 2
girl 1 and boy 3
girl 2 and boy 3
girl 3 and boy 3
girl 1 and boy 4
girl 2 and boy 4
girl 3 and boy 4
girl 1 and boy 5
girl 2 and boy 5
girl 3 and boy 5
WILL GET BRAINLEST AND TONS OF POINTS
Answers
Answer:
Yamato's here!
Step-by-step explanation:
Oh well thank you! Have a nice and great holiday!!
(^ - ^ /)Xoxo, Yamato-
Question 1 of 10
Which expressions are equivalent to the one below? Check all that apply.
log 2-log 4
A. log(¹)
B. log 1
C. log(2) + log(¹)
D. log 2
Answers
"The correct option is C." The only expression that is equivalent to log 2 - log 4 is option C: log(2) + log(¹).
The expression "log 2 - log 4" can be simplified using logarithmic properties. Specifically, the property states that "log(a) - log(b) = log(a/b)." Applying this property to the given expression, we have "log 2 - log 4 = log(2/4) = log(1/2) = -log(2)."
The expression log 2 - log 4 can be simplified using logarithmic properties. Let's analyze each option:
A. log(¹): This expression is not equivalent to log 2 - log 4. The logarithm of 1 is 0, but it does not cancel out the terms log 2 and log 4.
B. log 1: This expression is equivalent to 0, but it does not cancel out the terms log 2 and log 4.
C. log(2) + log(¹): This expression is equivalent to log 2 + 0, which simplifies to just log 2. It is not equivalent to log 2 - log 4.
D. log 2: This expression is not equivalent to log 2 - log 4. It represents the logarithm of 2, but it does not account for the subtraction of log 4.
Option C, "log(2) + log(¹)," again uses an exponentiation notation without an exponent and is not a valid mathematical expression.
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In a multiple regression problem involving two independent variables, if b1 is computed to be +2.0. It means that a. the estimated mean of Y increases by 2 units for each increase of 1 unit of X1, without regard to X2.
b. the estimated mean of Y increases by 2 units for each increase of 1 unit of X1. holding X2 constant.
c. the estimated mean of Y is 2 when XI equals zero.
d. the relationship between X1 and Y is significant
Answers
In multiple regression problem with two independent variables, value of one varible , b₁ is 2 then it means that the estimated mean of Y increases by 2 units for each increase of 1 unit of X₁, holding X₂ constant. So, second option is correct option.
Multiple Regression: Multiple regression is a statistical technique that can be used to analyze the relationship between a single dependent variable and multiple independent variables. The goal of multiple regression analysis is to use independent variables with known values to predict the value of each dependent value.
Y = b₁x₁+ b₂x₂ + … bₙxₙ + a
Here Y is the dependent variable, and X₁,…,Xₙ are the n independent variables. In calculating the weights, a, b₁,…,bₙ,
In the multiple regression b1 shows the coeffcient of independent variable X₁ in fitted model.
Here b₁ =+2.0 shows that for each unit increase in X₁, dependent variable Y is increased by 2 keeping other things constant.
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In ΔQRS, m∠R = 57°, q = 9, and s = 5. Find the area of ΔQRS.
Answers
The area of ΔQRS is 26.10 square units.
What is triangle?
A triangle is a closed, two-dimensional geometric shape with three straight sides and three angles.
To find the area of \($\triangle QRS$\), we can use the formula:
\($Area = \frac{1}{2} \times base \times height$\)
where the base and height are the length of two sides of the triangle that are perpendicular to each other. We can find these sides using trigonometry.
First, we need to find the length of side \($QR$\). We can use the Law of Cosines:
\($QR^2 = QS^2 + RS^2 - 2(QS)(RS)\cos(R)$\)
where \($R$\) is the angle at vertex \($R$\). Substituting the given values, we get:
\($QR^2 = 9^2 + 5^2 - 2(9)(5)\cos(57^\circ)$\)
\($QR \approx 8.02$\)
Next, we need to find the height of the triangle, which is the perpendicular distance from vertex \($R$\) to side \($QS$\). We can use the sine function:
\($\sin(R) = \frac{opposite}{hypotenuse}$\)
\($\sin(57^\circ) = \frac{height}{8.02}$\)
\($height \approx 6.51$\)
Now we can find the area of the triangle:
\($Area = \frac{1}{2} \times QR \times height$\)
\($Area = \frac{1}{2} \times 8.02 \times 6.51$\)
\($Area \approx 26.10$\) square units
Therefore, the area of \($\triangle QRS$\) is approximately \($26.10$\) square units.
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Jenna picked a pumpkin at the pumpkin patch that weighed 8 and 1 half pounds, Her little sister, sandy, picked a pumpkin that weighed one half of that amount, how much did sandys pumpkin weigh
Answers
Answer:
4 pounds and 1/4 ounces
Step-by-step explanation:
8 and 1 half pounds = 8.5 Ibs
One half of 8.5 = 8.5/2 = 4. 25 Ibs or 4 & 1/4 or 4Ibs 4 ounces.
Is the table of values an accurate representation of the graph below?
*Justify answer by analyzing the rate of change and y intercept of both linear functions.
Answers
The rate of change of the function is equal to 3.
What is the rate of change?A rate of change is the rate at which one quantity changes in relation to another. Rates of change can be positive or negative. This corresponds to a change in the y-value between the two data points. The term zero rates of change refer to a quantity that does not change over time.
The rate of change will be calculated as,
Rate of change = Δy / Δx
Rate of change = ( -7 + 10 ) / ( -3 + 4 )
Rate of change = 3 / 1
The rate of change Δy / Δx is 3.
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Emilia's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 100 espressos in all, 10 of which were single-shot. What percentage of the espressos were single-shot?
Answers
Which value is closest to (2.4×103)+(5.7×102)?
2.97×102
2.97×103
8.1×105
8.1×106
Answers
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Rewrite the following expression using the Distributive Property. 5(2x -8)
A. -30x
B. 10x -40
C. 10x + 40
D. 10x -8
I think it is either B or C but I'm not sure.
Answers
Answer:
B. 10x -40
Step-by-step explanation:
To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.
Which table represents a linear function
Answers
Answer:
The table on the top right
Step-by-step explanation:
x y
-----------------------------
0 0
1 1
2 4
3 9
As x goes up so does y unlike the other answers which has the y values as negitive and postive numbers mixed
How to solve please help.
\(7 x^{2} 8x\alpha \sqrt{x} 7\)
Answers
PLEASE HELP NOW!!!! WILL GIVE BRAINLIEST!!!
Answers
Answer:
0.48 is the correct answer
if Kendra has $5.35 in nickels and quarters if she has seven more quarters and nickels how many of each coin does she have ?
Answers
Kendra has $5.35 in nickels and quarters. If she has 13 more quarters than nickels, how many of each coin does she have?
(Scroll Down for Answer!)
We know that n = q - 13.
The value equation is
5n + 25q = 535 (we work in cents)
Now substitute for n and get
5(q - 13) + 25q = 535
5q - 65 + 25q = 535
30q = 600
q = 20 so that
n = 7
Step-by-step explanation:
Joanna needs a book to prop up a table leg. There are 8 Math books, 4 science books, and 5 history books. She
randomly selects a book, removing it from the shelf, and then selects another book. What is the probability that
Joanna selected two math books?
Answers
Answer:22% or 64/289
Step-by-step explanation: you take 8/17 which is math books over the total of books and multiply it together. simplify into a percent (if thats allowed)
8/17 x 8/17 = 64/289
Write the point-slope equation oft line that goes through (1, -1) with slope of -5.
Answers
Answer:
y+1=-5(x-1)
Step-by-step explanation:
We need to find the slope intercept form first. So far we have this: y=-5x+b. We could plug in the x value and y value to get this : -1=-5(1)+b. b=4. Now we have the slope intecept form: y=-5x+4, and we could turn it into point slope form.
IS 303 2022 Summer Packet for Incoming
Ms. Hamilton wants to put a decorative iron fence (rather like Winnie's in Tuck Everlasting)
around her yard. The yard is a perfect rectangle: its length is 24.75 feet and its width is 12.75
feet. Home Depot charges $50 a yard for iron fencing.
66.) How many feet of fencing does Ms. Hamilton need to buy?
67.) What do you call the distance around a rectangle?
Math in the Real World (Leave in packet)
68.) Write a detailed explanation of at least 3 ways that you used math this summer (other
completing this packet). How did these skills help you be successful in the real world? W
skills do you hope to develop this year in math?
Answers
66) The number of feet of fencing that Ms. Hamilton needs to buy is 75 feet.
67) The distance around a rectangle is called a perimeter.
68) What are the instances of the use of Maths skills?The use of Mathematics skills is all-encompassing. Every activity involves some mathematical calculations and the use of mathematical operations, like additions, subtractions, divisions, and multiplication.
When you visit a Merchandise Store, you undertake some mathematical activities by computing how much is needed and the balance you will get. Future projections depend on maths skills.
For instance, budgeting how much it costs you weekly to maintain your hairstyle also involves maths skills.
As you return to school after the summer breaks, you decide how much savings you must spend. It is maths. Any time calculations are involved, it requires maths.
Data and Calculations:Length of the yard = 24.75 feet
Width of the yard = 12.75 feet
Perimeter of the yard = 75 feet (24.75 + 12.75)2
Charges for a yard of iron fencing = $50 per yard
3 feet = 1 yard
75 feet = 25 yards (75/3)
The cost of 25 yards = $1,250
Thus, Ms. Hamilton will need to spend $1,250 on this decorative iron fence project.
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(100+?)/100=10
How do I work this out?
Answers
To work that out, 10x100=1000
This means 1000 divided by 100=10
That also means 100+?=1000
1000-100=100
?=100
Answer:
? = 900
Step-by-step explanation:
lets change ? to x
(100 + x) / 100 = 10
we will substitute /100
(100 + x) /100 · 100 = 10 · 100
100 + x = 1000
we substitute +100
100 + x -100 = 1000 - 100
x = 900
hope this helps =D happy learning!!
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is believed that the machine is underfilling the bags. A 9 bag sample had a mean of 431 grams with a variance of 144. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled
Answers
Answer:
No, there is not sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.
This means that the null hypothesis is:
\(H_{0}: \mu = 434\)
It is believed that the machine is underfilling the bags.
This means that the alternate hypothesis is:
\(H_{a}: \mu < 434\)
The test statistic is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.
434 is tested at the null hypothesis:
This means that \(\mu = 434\)
A 9 bag sample had a mean of 431 grams with a variance of 144.
This means that \(X = 431, n = 9, \sigma = \sqrt{144} = 12\)
Value of the test-statistic:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}\)
\(z = -0.75\)
P-value of the test:
The pvalue of the test is the pvalue of z = -0.75, which is 0.2266
0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.
Could anyone tell me the answer of this question?
Pls answer fast
Answers
Answer:
what is needed to be found??
Connor and Maria are doing yard work for a neighbor. They make a total of $597.19. Since Maria works fewer hours than Connor, Maria gets 19% of the money. About how much (in whole dollars) does Maria make?
Answers
Answer:
$113
Step-by-step explanation:
Find 19% of $597.19:
0.19($597.19) = $113 (in whole dollars)