Determine if 0.27322370013414... is rational or irrational and give a reason for your answer.
Answers
Answer:
It's Rational.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
It is found that 0.27322370013414... is rational number.
What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Rational numbers are numbers which can be written in the form of a/b where a and b are integers.
Example: 1/2, 3.5 (which is writable as 7/5) etc.
Irrational numbers are those real numbers which are not rational numbers.
Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
Since, rational number is any integer, fraction, terminating decimal, or repeating decimal.
Thus, 0.27322370013414... is rational number.
Learn more about a number pattern:
brainly.com/question/14471389
#SPJ2
Related Questions
4. A triangle has sides of length 7, 10, and s. Write an equation representing the perimeter P of the triangle.
Answers
Answer:dam I got the same thing
Step-by-step explanation:
By the way this Brandon
Anyone know the answer to this?
Answers
a. 6x2
b. 2x3
c. 5x2
d. 4x2
e. 5x1
Kelvin purchased two Madden 21 games for $125.00. How much did each game
cost?
Answers
Answer: 125.00$
Step-by-step explanation:
the answers in the question
Answer: $62.50
Step-by-step explanation:
125/2=62.50
Which pairs of angles are always congruent? (select all that apply)
Corresponding Angles
Same Side Exterior Angles
Alternate Exterior Angles
Linear Pair Angles
Vertical Angles
Same Side Interior Angles
Alternate Interior Angles
Answers
Answer:
Corresponding angles
Alternate Exterior Angles
Alternate Interior Angles
I hope this helps I may be wrong I am sorry if i am
Answer:
numbers 1 and 5
Step-by-step explanation:
i toook the test
A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?
Answers
Answer:
[tex]y=\frac{-1}{3}x-4[/tex]
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Define
Point (9, -7)
Point (-6, -2)
Step 2: Find slope m
[tex]m=\frac{-2-(-7)}{-6-9}[/tex]
[tex]m=\frac{-2+7}{-15}[/tex]
[tex]m=\frac{5}{-15}[/tex]
[tex]m=\frac{-1}{3}[/tex]
[tex]y=\frac{-1}{3}x+b[/tex]
Step 3: Find y-intercept b
[tex]-7=\frac{-1}{3}(9)+b[/tex]
[tex]-7=-3+b[/tex]
[tex]-4=b[/tex]
Step 4: Write linear equation in slope-intercept form
[tex]y=\frac{-1}{3}x-4[/tex]
5 divided by 5/6.please help
Answers
Answer:
5 divided by 5/6=6
A. Compute the balance in an account if $25,000 is invested for 5 years with an APR of 3% compounded daily. The balance in the account will be? B. For the same principal, APR, and time above, compute the balance in the account if it were compounded annually. The balance in the account will be? C. Discuss the difference in the answers above and give a possible explanation.
Answers
Answer:
A. $29,045.68
B. $28,981.85
C. Compound daily applies interest everyday over a period of 365 days in a year. Compound annually only applies the 3% interest once a year.
Step-by-step explanation:
3% compounded daily:
A = P(1 + r/n)^nt
= 25000(1 + [tex]\frac{.03}{365}[/tex])^365(5)
= 25000(1.00008219)¹⁸²⁵
= 25000(1.161827)
= 29045.6770
3% compounded annually:
A = P(1 + r/n)^nt
= 25000(1 + [tex]\frac{.03}{1}[/tex])^1(5)
= 25000(1.03)⁵
= 25000(1.159274)
= 28981.8518
1500 divided by 3500 would be?
Answers
( also if you can put brainliest that would help a lot it’s ok if not tho )
Answer:
0.42857142857
Step-by-step explanation:
correct me if im wrong
Juan's rock collection consists of 8 quartz, 6 turquoise, 4 mica, and 2 silica. What is the percent for each of the given ratios? quartz turquoise mica silica
Answers
Answer:
Step-by-step explanation:i need points sorry
Drag and drop the angle pairs to correctly match their description.
Answers
Answer:
<XAW and <UAY are vertical angles
<XAW and <XAZ are complementary angles
Edwin went to the grocery store and bought several pounds of fruits. The fruit cost $2 per pound. He bought 2.5 pounds of apples , 1 3/10 pounds of bananas, and 0.85 pounds of kiwis. If he paid with a $10 bill , how much change will be left?
Answers
Answer:5.5 + 2.6 = 8.1 + 1.7 = 9.8
Step-by-step explanation: Soooo i think 20 cents
Subtract.
7/z +3
2/z+3
Simplify your answer as much as possible.
Answers
Answer:
5/z
Step-by-step explanation:
(7/z + 3) - (2/z + 3)
distribute the minus sign
(7/z + 3) - 2/z - 3
simplify
7/z + 3 - 2/z - 3
5/z
For a given recipe, 6 cups of flour are mixed with 12 cups of sugar. How many cups of sugar should be used if 16 cups of flour are used?
Answers
Answer:
32 cups
Step-by-step explanation:
hope this helps plz mark brainliest
solve for substitution
x-2y+z=-11
3x+2y-z=7
-x+2y+4z=-9
Answers
Answer:
Unit rate miles per day is, 3
Step-by-step explanation:
Unit rate are defined as the rate are expressed as quantity of 1 such that 2 miles per hour or 5 km per hour.
As per the given statement: A construction crew built 1/2 miles of road in 1/6 days
by unit rate definition;
After substituting the given values we have
⇒
or
Therefore, unit rate miles per day is, 3
Step-by-step explanation:
hhhthhg
There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. What is the constant of proportionality in this relationship? What does the constant of proportionality tell us about the situation?
Answers
Answer: proportionality constant = 7.99
It means for every 1 month, the amount need to pay = $7.99 .
Step-by-step explanation:
When y is directly proportional to y , then the equation for this relationship is given by :-
[tex]y=mx[/tex], (i)
where m is the proportionality constant.
here, it is given that number of months a person has had a streaming movie subscription is proportional to the total amount of money they have paid for the subscription.
If cost for 6 months is $47.94.
Put x= 6 and y= 47.94 in (i), we get
47.94 =6m
Divide both sides by 6 , we get
7.99 =m
So proportionality constant = 7.99
It means for every 1 month, the amount need to pay = $7.99 .
The constant of proportionality (k) is 7.99. This tells us that the subscription per month is $7.99.
Recall:
A proportional relationship is modelled with the equation, y = kx.
k is the constant of proportionality between y and x.
k = y/x
Given:
x = number of months (6)
y = total amount paid for subscription (47.94)
If 6 months subscription costs $47.94, therefore,
k = 47.94/6
k = 7.99
Constant of proportionality is therefore 7.99. This tells us that the subscription for per month is $7.99.
Learn more here:
https://brainly.com/question/11703625
In the next several games, the pitcher threw a total of 384 pitches and used a fastball 240 times. What decimal should Juanita use to update her report? Juanita should use the decimal to update her report. How do you know that the answer is a terminating decimal?
Answers
Answer:
0.625
It has 3 digits (finite) after the decimal point.
Step-by-step explanation:
Given that :
Total number of pitches = 384
Total number of fasfballs = 240
To make an update :
Ratio of the number of fastballs and total number of pitches
240 : 384
240/384
= 0.625
The result is a terminating decimal as it has a known number of digits after the decimal point. In the solution above, 0.625 has 3 digits after the decimal point and it is thus a terminating decimal.
find the cube of 2.9
Answers
[tex] {2.9}^{3} \\ 2.9 \times 2.9 \times 2.9 \\ 8.41 \times 2.9 \\ 24.389[/tex]
Answer:The cube of [tex]2.9[/tex] is [tex]24.389[/tex].
Pls help please!!!
Answers
i am gonna have to go with B
Write the equation in slope-intercept form of a line that is parallel to y= -8x - 2 and goes through the point (-1, 11)
Answers
Answer:
y=-8x+3
Step-by-step explanation:
Slope-intercept form means
[tex]y=mx+c[/tex]
To write the equation in this form we need two things firstly m which is the slope and secondly c which is the y-intercept.
Since the line is parallel to [tex]y=-8x-2[/tex] as given in the equation and as we know that parallel lines have the same slope. So our new desired line that we need has a slope of -8 which is m. Now all we need is the y-intercept. For that we take the coordinate [tex](0,y)[/tex] because y-intercept means the line intersects the y-axis and if the line intersects the y-axis that specific point lies on the y-axis which is [tex](0,y)[/tex] so we put all the values in our desired equation and the coordinate that is also given to us [tex](-1,11)[/tex] because the line goes through this point it must lie on the line and hence we can use this point as well so now,
[tex]y=mx+c\\y=-8x+c\\11=-8(-1)+c\\11=8+c\\3=c[/tex]
so, the equation becomes,
[tex]y=-8x+3[/tex]
I will give BRAINLIEST
Answers
Answer:
B
Step-by-step explanation:
Answer:
I think it is B :D
Step-by-step explanation:
label the slope and y intercept
Answers
Slope is 3/2
Mark walk miles in 5 hours how many miles did Mark walk in 1 hour?
Answers
Our friend claims that a rectangle with the same perimeter as △QRS will also have the same area. Is your friend correct? Explain. yes; Any rectangle with a perimeter of 12 units will have an area of 6 units. yes; If a rectangle does not have the same perimeter as △QRS, it will not have the same area, so your friend's statement is correct by counterexample. no; A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no; A 1×5 rectangle has a perimeter of 12 units and does not have an area of 6 units, so a counterexample shows that your friend's statement is not correct.
Answers
Answer:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no
Step-by-step explanation:
We are given vertices in the attached
To solve this question, we are given vertices, we solve using the formula:
√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)
We are given Triangle QRS
Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)
QR : Q = (-2, 1) , R = (-2, -2)
= √(-2 - (-2))² + (-2 - 1)²
= √0² + 3²
= √9
= 3 units
RS : R = (-2, -2), S =(2, -2)
= √(2 -(-2))² + (-2 - (- 2))²
= √4² + (0)2
= √16
= 4 units
QS: Q = (-2, 1), S =(2, -2)
= √(2 -(-2))² + (-2 - 1)²
= √(2 + 2)² + (-3)²
= √4² + 9
= √16 + 9
= √25
= 5 units
The Area of Triangle QRS = 1/2bh
b = base = RS = 4 units
h = height = QR = 3 units
= 1/2 × 4 × 3
= 6 square units
Perimeter of Triangle QRS = QR + RS + QS
=( 3 + 4 + 5)units
= 12 units
Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle
The perimeter of a rectangle
= 2L + 2W
12 units = 2L + 2W
12 - 2L = 2W
W = 12 - 2L/2
The Area of a Rectangle = L × W
6 square units = LW
6 = LW
6 = L ×(12 - 2L/2)
6 = 12L - 2L²/2
Cross Multiply
6 × 2 = 12L - 2L²
12 = 12L - 2L²
2L² - 12L + 12
2(L² - 6L + 6)
Therefore, from the calculation above, we can conclude:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.
Answer:
Step-by-step explanation:
Answer:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no
Step-by-step explanation:
We are given vertices in the attached
To solve this question, we are given vertices, we solve using the formula:
√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)
We are given Triangle QRS
Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)
QR : Q = (-2, 1) , R = (-2, -2)
= √(-2 - (-2))² + (-2 - 1)²
= √0² + 3²
= √9
= 3 units
RS : R = (-2, -2), S =(2, -2)
= √(2 -(-2))² + (-2 - (- 2))²
= √4² + (0)2
= √16
= 4 units
QS: Q = (-2, 1), S =(2, -2)
= √(2 -(-2))² + (-2 - 1)²
= √(2 + 2)² + (-3)²
= √4² + 9
= √16 + 9
= √25
= 5 units
The Area of Triangle QRS = 1/2bh
b = base = RS = 4 units
h = height = QR = 3 units
= 1/2 × 4 × 3
= 6 square units
Perimeter of Triangle QRS = QR + RS + QS
=( 3 + 4 + 5)units
= 12 units
Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle
The perimeter of a rectangle
= 2L + 2W
12 units = 2L + 2W
12 - 2L = 2W
W = 12 - 2L/2
The Area of a Rectangle = L × W
6 square units = LW
6 = LW
6 = L ×(12 - 2L/2)
6 = 12L - 2L²/2
Cross Multiply
6 × 2 = 12L - 2L²
12 = 12L - 2L²
2L² - 12L + 12
2(L² - 6L + 6)
Therefore, from the calculation above, we can conclude:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.
Toby's principal wants to put a new fence around the playground. The playground is a rectangle in shape.
It is 75.23 meters wide and 105.55 meters long. Which expression shows how many meters of fencing he needs in all?
A-75.23 + 75.23 + 75.23 + 105.55
B-75.23 + 105.55 + 105.55 + 105.55
C-75.23 + 75.23 + 105.55 + 105.55
D-75.23 + 75.23 + 75.23 + 75.23
Answers
A family bought a total of 16 adult and child tickets to a magic show. Adult tickets are $10.50 each and child tickets are $7.50 each. The family paid a total of $141. How many of adult tickets, a, and child tickets, c, did they buy?
Answers
9514 1404 393
Answer:
7 adult tickets9 child ticketsStep-by-step explanation:
Using the variables defined in the problem statement, we can write the equations ...
a + c = 16 . . . . . . . . . . . . number of tickets bought
10.50a +7.50c = 141 . . . cost of tickets bought
Substituting for c in the second equation, we get ...
10.50a +7.50(16 -a) = 141
3.00a +120 = 141 . . . . . . . . simplify
3a = 21 . . . . . . . . . . . subtract 120
a = 7 . . . . . . . . divide by 3
16 -a = c = 9 . . . . . . . find the number of child tickets
They bought 7 adult tickets and 9 child tickets.
_____
If you examine the solution, you see that the number of adult tickets (the higher priced item) is the quotient of the difference between the actual expenditure (141) and the amount that would have been spent on all child tickets (16×7.50=120), and the difference in ticket prices (10.50-7.50=3.00). Knowing this, you can often work problems of this kind in your head.
A racing car can complete an 700 m long lap in 14 s. What is the speed of the
car?
Answers
Answer:
[tex]\boxed {\tt 50 \ m/s}[/tex]
Step-by-step explanation:
To find the speed, divide the distance by the time. We can use the following formula:
[tex]s=\frac{d}{t}[/tex]
The racing car completed a 700 meter lap in 14 seconds. So, the distance is 700 meters and the time is 14 seconds.
[tex]d= 700 \ m \\t= 14 \ s[/tex]
Substitute the values into the speed formula.
[tex]s=\frac{700 \ m }{14 \ s}[/tex]
Divide.
[tex]s= 50 \ m/s[/tex]
The speed of the racing car is 50 meters per second
Answer:
The answer is 50 m/sStep-by-step explanation:
The speed of an object can be found by using the formula
[tex]v = \frac{d}{t} \\ [/tex]
where
v is the speed
d is the distance
t is the time
From the question
d = 700 m
t = 14 s
We have
[tex]v = \frac{700}{14} \\ [/tex]
We have the final answer as
50 m/sHope this helps you
expand and simplify 3(3x-4)-2(2x-1)
Answers
Answer:
5x-10
Step-by-step explanation:
distribute 3 & 2 thought the parenthesis
what percent is 52.52 million of 142 million
Answers
Answer:
37%
Step-by-step explanation:
Given parameters:
Total number = 142 million
Comparing number = 52.52 million
Unknown:
What percent is the number =?
Solution
The percentage;
= [tex]\frac{comparing number }{total number } x 100[/tex]
= [tex]\frac{52520000}{142000000}[/tex] x 100
= 37%
Answer:
dwadwdwa
Step-by-step explanation:
The formula for finding area of a triangle is: A=( 1/2)bh
Solve the equation for height, h.
SOMEBODY PLS HELP ASAP
Answers
Answer:
h=2Ab
Step-by-step explanation:
if you divide b on both sides you get Ab=1/2h
Then you would divide by 1/2 which is the same as multiplying by 2 which gives you the final answer of h=2Ab
Find the rate of change in the graph
Answers
Answer:
4/3
hope this helped :)