Answers
C+D
A*B
C*D
A*A
A+B does not give a rational number answer; √3+2√3 = 3√3
C+D is a rational number; √25=5 and √16=4; 5+4=9.
A+D is not a rational number; √3+√16 = √3+4
A*B is a rational number; √3*2√3 = 2√9 = 2*3 = 6
B*D is not a rational number; 2√3*√16 = 2√3*4 = 8√3
C*D is a rational number; √25*√16 = 5*4 = 20
A*A is a rational number; √3*√3 = √9 = 3
Rational numbers are those that can be expressed as a fraction of two integers. Examples of expressions that result in rational numbers include simple calculations or operations that result in whole numbers or decimal numbers that can be written as a fraction.
Explanation:In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator not being zero. If an expression results in such a number, then it is considered a rational number.
Let's consider some examples from the given information:
106 (6-3): This equates to 10^3 which will result in the number 1000, a rational number as it can be expressed as 1000/1. 4.5 × 10⁹: The result of this multiplication also gives a rational number as it can be written in a fraction form. 0.3333: This number is also rational as we can write it as 3333/10000. 0.6: This can be written as 6/10 or 3/5, so it's also a rational number.
However, numbers resulting from certain trigonometric functions like sine and cosine, logarithms, or exponential functions may not always be rational. These functions require pure numbers as inputs and outputs.
Learn more about Rational Numbers here:https://brainly.com/question/24398433
#SPJ3
Related Questions
Help I don’t know the answer to this question
Answers
y intercept, same thing, where x is equal to 0 and it's on the y axis
like the x-intercept would be: (-7,0)
y-intercept: (0,2)
Find two square roots of 36.
Answers
Can you find the measure of angle PVQ for 30 points?
Answers
12x + 3x = 90
15x = 90
x = 6
Plug in x into ∠PVQ, which is 12x.
12(6) = 72
m∠PVQ = 72°
⇒ 12x + 3x = 90
12x + 3x = 90
Combine like terms:
15x = 90
Divide both sides by 15:
x = 6
Find ∠PVQ :
∠PVQ = 12x = 12 x 6 = 72°
Answer: ∠PVQ = 72°
Eric goes for a walk every night after work. A map of the route has a scale of 1:20,000, in cm.
If Eric walked 1.2 kilometers on Monday night, how many cm is the route on the map?
Answers
1.2 km = 120 000 cm.
If the map is made on a scale of 1: 20,000, in cm
So we have to divide 120,000 / 20,000 to know how many centimeters that distance on the map is represented.
Finally the answer is 6 centimeters. That is, 1.2 km equals 6 centimeters on the map
if d=2, what is the value of 8/(4-d)
Answers
The value of the expression 8/(4-d) when d = 2 is 4.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
We have the expression,
8/(4-d)
And here, d = 2.
Substituting the value of d to the expression,
8/(4-d),
= 8/(4-2)
= 8/(2) {using simple division}
= 4
Therefore, 4 is the value of the expression.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ3
solve using quadratic equations
Answers
4x² - 4x - 5x + 5 = 0
4x(x - 1) - 5(x - 1) = 0
(4x - 5)(x - 1) = 0
Set each binomial equal to zero.
4x - 5 = 0
4x = 0 + 5
4x = 5
x = 5/4
x - 1 = 0
x = 0 + 1
x = 1
Your solutions are x = 1, 5/4
the product of two consecutive even integers that are negative is 224. Write an equation and find the two integers.
Answers
the first integer be x and the second one will be x+2
What is the probability that her keys have landed within the forest?
Answers
Answer:
0.8
Step-by-step explanation:
egde
Solve 120000/1+48e^0.015t=24e^0.055t
Answers
NEED HELP!!!
Jamie was surveying students about their use of the new computer lab in a school. Which question in the survey is a STATISTICAL QUESTION?
A.) How qualified is the trainer at the computer lab?
B.) Where is the computer lab located in the school?
C.) What is the number of learning stations at the computer lab?
D.) How many class projects did you complete using the computer lab?
Answers
Answer with explanation:
To know the use of Computer Lab in the School
A Survey has been done.Out of the four Question asked,
The education of the trainer in the computer Lab does not come into consideration,to know the use of computer lab in the school, the use of computer lab can be known only by whether students are getting well versed with Computer and it's applications or not.
Number of Learning Stations in the computer lab, also can't tell the use of computer Lab in the school, because we have to check knowledge of the students about computers to know the better use of the Lab.
So, number of Class projects, or in my own words A test on computer awareness and It's software tools will be a better survey Question.
Option D is the question in the survey is a STATISTICAL QUESTION.
(D) How many class projects did you complete using the computer lab?
I WILL MARK THE BRAINLIEST! PLZ HELP!
The track-and-field coach wants to know whether the students in the entire school prefer track races or field events. The coach draws a random sample from the following groups:
All students in each grade
All teachers in the school
All boys in each grade in the school
All students on the track-and-field team
Which group best represents the population she should take a random sample from to get the best results for her survey? (5 points)
{A} All students in each grade
{B} All teachers in the school
{C} All boys in each grade in the school
{D} All students on the track-and-field team
Answers
The track-and-field coach should select the group which contains all students in each grade to take a random sample to get the best results for her survey.
We have a situation in which track-and-field coach wants to know whether the students in the entire school prefer track races or field events. In order to do so she draws a random sample from the following groups:
• All teachers in the school
• All boys in each grade
• All students in the track-and-field team
• All students in each grade
We have to find the best group from which she should take a random sample of the above mentioned to get the best results for her survey.
What is the condition for Set A to be a Superset of Set B?Set A is superset of Set B if Set A contains all the elements of Set B.
In our question, we have four groups in the form of four sets as -
• Set of all teachers in school (say Set T)
• Set of all boys in each grade (say Set B)
• Set of All students in track-and-field team (Say Set C)
• Set of all students in each grade (Say Set S)
Since the art teacher wants to know the opinion of students, therefore Set T is not correct. Set B contains all boys in each grade, but it would exclude the girls in each grade, therefore it is also not correct. Set C consists of all students in track-and-field team, but it would exclude students who are not in track and field team, therefore incorrect. Set S consist of all Students in each grade, this means that Set S is the superset of Set B and Set C and contains all the students of the school.
Hence, the group that contains all students in each grade should be selected to take a random sample to get the best results for her survey.
To solve more questions like these, visit the link below -
brainly.com/question/4093666
#SPJ2
A company's profit is described by the equation P(x)=-5x^2+300x+15,000
Where x is the price in dollars that the company charges for its product. What should the company charge for the product to generate the maximum profit?
A)$20
B)$30
C$50
D$60
Answers
The formula x = -b / (2a) will produce that x-coordinate:
-(300)
x = ------------ = 30
2(-5)
When x=30 units, y = profit = -5(30)^2 + 300(30) + 15000 = $19500 (answer)
The company charge for the product to generate a maximum profit is $30. Then the correct option is B.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
A company's profit is described by the equation
[tex]\rm P(x)=-5x^2+300x+15000[/tex]
Where x is the price in dollars that the company charges for its product.
Differentiate the equation with respect to x.
[tex]\rm \dfrac{dP(x)}{dx}=-10x+300[/tex]
For the maximum price
[tex]\rm \dfrac{dP(x)}{dx} = 0\\[/tex]
Then we have
[tex]\begin{aligned} \rm -10x+300 &= 0\\\\\rm 10x &= 300\\\\\rm x &= 30 \end{aligned}[/tex]
Then the company charge for the product to generate the maximum profit is 30 dollars for each.
More about the differentiation link is given below.
https://brainly.com/question/24062595
From 9:00 AM to 12:00 PM, Linda's stock portfolio increased in value from $2,500 to $6,400. If Linda's portfolio continues to grow at this rate, how much will it be worth at 2:30 PM?
Answers
$6,400-$2,500=$3,900
$3,900/3= $1,300 per hour
12:00pm - 2:30pm = 2.5 hours
$1,300 x 2.5= $3,250
$6,400 + $3250 = $9,650
A ladder is leaning against a building and makes 42° angle with the ground. The top of the ladder reaches 30 feet up on the building. What is the length of the ladder?
Answers
sin 42 deg = opp / hyp, or hyp*sin 42 deg = 30 ft. Then hyp = (30 ft)(sin 42), which in turn equals hyp = (30 ft) / (0.669) = 44.8 feet (answer)
The length of the ladder will be 44.8 feet.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
A ladder is leaning against a building and makes a 42° angle with the ground.
The top of the ladder reaches 30 feet up on the building.
Let the length of the ladder be L.
Then the length of the ladder is given by the sine of angle 42°.
sin 42° = 30 / L
L = 30 / sin 42°
L = 30 / 0.699
L = 44.8 feet
The length of the ladder will be 44.8 feet.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ5
I need help trying to find the vertex y=2x^2 + 12x +26
Answers
So you would multiply 12 by -1 and get -12, then multiply 2 by 2 (a) and you should get 4.
In order to get the A.O.S, divide -12 by 4 = -3
Finally, plug in x (or the A.O.S)
Your equations should now look like this;
y = 2 (-3) ^2 + 12 (-3) +26
Solve each part separately and then add it up:
-3^2 = 9 * 2 = 18
12 * -3 = -36
and just 26
18 - 36 + 36
Vertex (or y) = 18
(-3,8)
Find the greatest common factor of 8a 3 b 2 and 12ab 4.
Answers
If it is like this..
The GCF is 4ab²
Answer:
4ab²
Step-by-step explanation:
The two expressions are given as 8a³b² and 12ab⁴
Now factors of 8a³b² = 2 × 2 × 2 × a × a × a × b × b
and factors of 12ab⁴ = 2 × 2 × 3 × a × b × b × b × b
Now greatest common factor will be 2 × 2 × a × b × b
= 4ab²
a recipe for 2 1/2 dozen whole-wheat muffins require 600 g of flour. How many muffins can be made with 900 g of flour?
Answers
With 900 g of flour, you can make 45 muffins.
Explanation:To find out how many muffins can be made with 900 g of flour, we can set up a proportion:
2.5 × 12 = 600
x × 900 = 1
Cross-multiplying gives us:
2.5 × 12 × 900 = 600 × x
30 × 900 = 600 × x
27000 = 600x
x = 27000 / 600
x = 45
Therefore, with 900 g of flour, you can make 45 muffins.
Is 7/8 the right answer
Answers
On a map with a scale of 2 cm = 1km, the distance from Beau's house to the beach is 4.6 centimeters. What is the actual distance?
Answers
GIVEN: 2 cm = 1 km
4.6/2 = 2.3 km
2.3
since 2 cm=1k you divide by 2
What is the volume of a cube with an edge length of 3.2 meters?
Enter your answer as a decimal
___ cm^3
Answers
S = 3.2 meters
Volume = 3.2^3
Volume = 32.768 cubic meters (cm^3)
You may need to round the answer.. The problem doesn't say how many decimal places are needed.
To find the volume of a cube you use the equation
[tex]V = a^{3} [/tex]
a is side length
Put in the values you know
[tex]V = 3.2^{3} [/tex]
Cube the number
V = 32.768
The answer is 32.768 cubic centimeters
Hope this helps!
Cereal companies often advertise with statements like "collect all 8 dinosaurs" or "one in each specially marked box." Assume that the company sells an equal number of boxes with each type of dinosaur. If you wanted to collect all eight dinosaurs, does this mean that you will only have to purchase eight boxes of cereal? This investigation will help you better understand how theoretical probability compares to experimental probability.
Here are your goals: Use a simulation to determine the experimental probability of a problem. Compare and contrast the theoretical probability with the experimental probability.
Answers
You have a 1/8 chance of getting the dinosaur you want from a box. That means obviously you are significantly more likely to get another less dinosaur. Which it likely won't have lasers and stuff. Which is always sad.
The theoretical probability is far less likely to actually happen than the experimental probability.
Nora created a flag that was shaped by the triangle below.
'\
' \
5in. ' \
' \
'-----------
12in
What is the measure of the third side of the triangle?
A.13in
B.14in
C.17in
D.16in
Answers
A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard deviation of 34. What is the 90% confidence interval for the population mean? Use the table below to help you answer the question.
Confidence Level
90%
95%
99%
z*-score
1.645
1.96
2.58
Remember, the margin of error, ME, can be determined using the formula mc021-1.jpg.
128.75 to 147.25
130.98 to 145.02
132.10 to 143.90
137.38 to 138.62
Answers
Using the z-distribution, it is found that the 90% confidence interval for the population mean is: 132.10 to 143.90.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
The other parameters are given as follows:
[tex]\mu = 138, \sigma = 34, n = 90[/tex]
Hence, the bounds of the interval are given by:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 138 - 1.645\frac{34}{\sqrt{90}} = 132.1[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 138 + 1.645\frac{34}{\sqrt{90}} = 143.9[/tex]
The 90% confidence interval for the population mean is: 132.10 to 143.90.
More can be learned about the z-distribution at https://brainly.com/question/25890103
#SPJ5
Rhombus WXYZ is graphed on a coordinate plane. What is the area of the rhombus? 24 square units 28 square units 32 square units 48 square units
Rhombus WXYZ is graphed on a coordinate plane.
What is the area of the rhombus?
24 square units
28 square units
32 square units
48 square units
Answers
Answer:
24 square units
Step-by-step explanation:
A simulated game of chess is programmed between two computers. The game is supposed to be biased in favor of player B winning 4 out of 5 times. Which is the most suspicious set of outcomes of 30 games played between the two computers?
AABABBBABBBBBBBBABBBABBBBBBBBA
ABBABBAABBBBBABBBBBBBBBBBBBABB
ABBABABABABBABABABABABABABABAA
ABBABBBABBBBBBBBABBBABBBBBBBBB
Answers
Answer:
ABBABABABABBABABABABABABABABAA
Step-by-step explanation:
Player B is supposed to be winning 4 out of 5 times. This means that Player A is supposed to win 1 out of 5 times.
This means out of 30 games, player A should win roughly 1/5(30) = 6 times.
In the first list, player A wins 7.
In the second list, player A wins 6.
In the third list, player A wins 15. This is much different.
In the fourth list, player A wins 5.
Name the algebraic property that is being shown in the example: 4(x+3) = 4x + 12
Answers
Over the last 4 years, Michael has earned $240 interest on an initial investment of $2,000. What simple annual interest rate is the bank paying on this account?
Answers
Answer:
3%
Step-by-step explanation:
How to solve these kind of questions.
Answers
hope this helped
The center circle of a soccer field prohibits a defender from being near the ball at the start or restart of a soccer game. On a professional soccer field this circle is 20 yards in diameter. Find the area of this circle. Show work or explain how you found your answer.
Answers
A = (π/4)d²
You have d=20 yd, so the area of the circle is
A = (π/4)×(20 yd)² . . . . substitute the given information into the formula
A = 100π yd² . . . . . . . . do the arithmetic
A ≈ 314.16 yd²
The area of the center circle on a professional soccer field, which has a diameter of 20 yards, is calculated using the formula for the area of a circle. The calculated area is approximately 314.16 square yards.
Explanation:To find the area of the center circle on a soccer field, we use the formula for the area of a circle: A = πr^2, where A is the area and r is the radius of the circle. Given that the diameter of the circle is 20 yards, the radius (which is half of the diameter) would be 10 yards. Therefore, substituting 10 for r in the formula gives A = π(10)^2.
Performing the calculations, we find that A = π(100), which equals 314.16 square yards, using 3.1416 as the approximation for σ. Hence, the area of the center circle on a professional soccer field is approximately 314.16 square yards.
Over the period of one month 159 dogs visited the dog park. Suppose the same number of dogs visited each month for 1 year. How is this total different from the year before 95 dogs visited the dog park every 3 months for the year? Show your work and explain how you got your answer. WILL MARK BRAINLEST!!!!!!
Answers
Final answer:
The total number of dogs visiting the park in the current year, assuming 159 dogs visit each month, is 1,908 dogs/year. The previous year, with 95 dogs visiting every 3 months, saw 380 dogs/year. Hence, there are 1,528 more dogs visiting the park in the current year.
Explanation:
Calculating the Total Annual Number of Dogs Visiting the Dog Park
To calculate the total number of dogs visiting the dog park over the course of a year for the current period, we simply multiply the number of dogs that visit each month by the total number of months in a year. For the previous year, we will add up the number of dogs visiting every three months and then determine the difference between the two annual totals.
Current Period Calculation:
Number of dogs visiting each month: 159 dogsNumber of months in a year: 12 monthsTotal dogs visiting in the current year = 159 dogs/month * 12 months/year = 1,908 dogs/yearPrevious Year Calculation:
Number of dogs visiting every 3 months: 95 dogsNumber of 3-month periods in a year: 4Total dogs visiting in the previous year = 95 dogs/3 months * 4 (3-month periods) = 380 dogs/yearNow, we find the difference between the two annual totals:
Difference = Current year total - Previous year totalDifference = 1,908 dogs/year - 380 dogs/yearDifference = 1,528 dogs/yearThe total number of dogs visiting the park in the current year is 1,528 dogs more than the previous year.