Answer:
Yes. All real numbers are either rational or irrational.
Step-by-step explanation:
The set of all irrational numbers is commonly defined as the set of all real numbers that are not rational.
Let [tex]\mathbb{R}[/tex] denote the set of all real numbers. Let [tex]\mathbb{Q}[/tex] denote the set of all rational numbers.
For any given real number [tex]x[/tex] ([tex]x \in \mathbb{R}[/tex],) either [tex]x\![/tex] is rational ([tex]x \in \mathbb{Q}[/tex]) or [tex]x\!\![/tex] isn't rational ([tex]\lnot (x \in \mathbb{Q})[/tex], such that [tex]x \not\in \mathbb{Q}[/tex] and thus [tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex].)
Assume that [tex]x[/tex] isn't a rational number. By the definition of rational numbers, since [tex]x\!\![/tex] is a real number but not a rational number ([tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex],) [tex]x\![/tex] would be an irrational number.
Therefore, either [tex]x[/tex] is rational or [tex]x\![/tex] is irrational. Every real number would either be rational or irrational.
In the figure below, m∠1 = x and m∠2 = x - 8. Which statement could be used to prove that x = 49?
A) m∠1 = m∠2
B) m∠2 = 47
C) m∠1 + m∠2 = 90
D) m∠1 + m∠2 = 180
Answer:
option C can be used.
Step-by-step explanation:
hope this helps you.
PLEASE HELP.
A group of bacteria has a population of 100,000. The growth rate is 20%. How much bacteria will there be in 10 years? Use the exponential formula.
Answer:
200,000 i don't know apologies if it's wrong
Step-by-step explanation:
100,000*.20*10
200,000*10
200,000
Divide. Round your answer to the nearest thousandth.
2,891.3030 - 0.728=
Answer:
3971.570
Step-by-step explanation:
PLS ANSWER
AND I WILL MARK AS BRAINLIST
Answer:
72
Step-by-step explanation:
Use PEMDAS to complete this equation properly. 3^2 = 9, 2^3 = 8. 9*8= 72..
Brainliest would be appreaciated! :-)
mandie is making 15 cups of fruit salad what is the ratio of grapes to blueberries should she use? 6:9 , 8:7 , 12:3 , 10:5
Answer:
god help you
Step-by-step explanation:
i think we should add all the ratio together.......
One triangle weighs how much
Answer:
13
Step-by-step explanation:
The Lawrence Art Museum offers individual memberships for $49.50. Once someone has
purchased an individual membership, he or she can go to the museum for just $5 per visit.
What is the cost of becoming a member and visiting the museum 12 times?
Answer:
109.50
Step-by-step explanation:
cost of membership + individual visit price
49.50+ 12*5 (cost of membership plus amount of visits * ticket price)
109.50
The first modern humans appeared on Earth about 200,000 years ago. Would it be possible to measure that number in terms of feet on the football field? Explain your answer.
The average rate of population decline between 2004 and 2014 is 1.45 thousand deer per year. If the population continued to decline at this rate, in which year would the population have reached 225 thousand deer? Explain your reasoning.
Answer:
in 155 years it would reach 225 thousand deer
Step-by-step explanation:
What is the slope and y-Intercept of the equation 3(y – 2) + 6(x + 1) - 2 = 0?
A. Slope = -2, y-intercept = 2/3
B Slope = 2, y-intercept =2/3
C Slope = -2, y intercept = -2/3
D Slope = 2, y intercept= -2/3
E Slope = -2, y intercept = 3/2
Answer:
A. Slope = -2, y-intercept = 2/3Step-by-step explanation:
Convert the given equation into slope-intercept form:
3(y - 2) + 6(x + 1) - 2 = 03y - 6 + 6x + 6 - 2 = 03y + 6x - 2 = 03y = - 6x + 2y = - 2x + 2/3The slope is -2, the y-intercept is 2/3
Correct choice is A
⇒ 3(y - 2) + 6(x + 1) - 2 = 0
⇒ 3y - 6 + 6x + 6 - 2 = 0
⇒ 3y = -6x + 2
⇒ y = (-6x + 2)/3
⇒ y = -2x + ⅔
FINAL ANSWER :Slope = -2
Y - intercept = +⅔
Answer :Option (a) is the correct answer .
Which congruence criteria is met in the following scenario?
AAS
ASA
SAS
None, because the sides of one triangle are NOT congruent to the sides of the other triangle.
SSS
The next term in the geometric sequence -1, -2, -4 __ is -6.
True or False
Answer:
False
Step-by-step explanation:
It is multiplied by 2 so the next answer would be -8 not -6 hope this helps!:)
a cafe sells a regular cup of coffee for $1 and a large sup for $1.50. melissa and her friend buy 5 cups of coffee and spend a total of $6. find the number of large cups.
Answer:
65
Step-by-step explanation:
it is the largest cup so it is 65
Hello! Can ya'll help? If u do you'll get the crown and be put first place on the nice list
Write a word problem that can be represented by the expression 4 3/8 divided by 8
Answer:
Word Problem: The length of a shoelace is 4 and 3/8 meters. How many shoelaces can be made from an 8-meter lace?
Step-by-step explanation:
Place the fraction 1/2 on the number line.
Answer:
in the middle
Step-by-step explanation:
I did this before
The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls, work out how many boys there are.
Answer : 52 boys : 26 girls
Step - by - step explanation :
Now we can guess, whatever number we put HAS to be 26 more boys than girls and it has to follow the 2 boys : 1 girl ratio . . .
26 boys : 13 girls <-- this follows the 2:1 ratio but is NOT 26 more boys than girls
52 boys : 26 girls <-- this follows the 2:1 ratio and has 26 more boys than girls ! :D
Plzzzz help meeeee plzzzzzzzz
Answer:
$0.70
Step-by-step explanation:
70cents is the same as 70/100. so, this would be 0.70.
Hope this helps!
5. Find mTOS in the figure below.
Applying the definition of a linear pair, m∠TOS = 52°
Recall:
Linear pair are two angles on a straight line whose sum equals 180°.
Given:
m∠TOU = 128°m∠SOV = (4x + 8)°m∠TOU + m∠TOS = 180° (linear pair)
Substitute128° + m∠TOS = 180°
Subtract 128° from both sides of the equationm∠TOS = 180° - 128°
m∠TOS = 52°
Thus, applying the definition of linear pair, m∠TOS = 52°
Learn more about linear pair on:
https://brainly.com/question/3768841
Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales in dollars, X, which can be represented by g(x) = 185 +0.03x. Jim is paid $275 per week plus 2.5% of his total sales in dollars, x, which can be represented by f(x) = 275 +0.025%. Determine the value of x, in dollars, that will make their weekly pay the same.
Answer:
$18,000.
Step-by-step explanation:
When their weekly pay is the same:
185 + 0.03x = 275 + 0.025x
0.03x - 0.025x = 275 - 185
0.005x = 90
x =90/0.005
x = 18,000
\sqrt{7+\sqrt{2+\sqrt{x+1} } } =3
First make note of the domain of the left hand side.
• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1.
• √(2 + √(x + 1)) is defined for 2 + √(x + 1) ≥ 0. If x ≥ -1, then this condition is satisfied.
• √(7 + √(2 + √(x + 1))) is defined for 7 + √(2 + √(x + 1)) ≥ 0. This condition is also satisified automatically if x ≥ -1.
Now solve the equation. Taking the square of both sides of
√(7 + √(2 + √(x + 1))) = 3
yields
7 + √(2 + √(x + 1)) = 3² = 9
√(2 + √(x + 1)) = 2
Squaring both sides again gives
2 + √(x + 1) = 2² = 4
√(x + 1) = 2
And once more,
x + 1 = 2² = 4 ⇒ x = 3
PLEAAAAASSEEEEEEEEEEE
im held captive._.
The inequality that models the situation is:
[tex]15000 + 4s \geq 450000[/tex]
Solving it, it is found that they need to sell at least 108,750 shirts.
During the day:
They earned 15000 in mask sales.They will sell s shirts, and earn a total of of 4s.Hence, the earnings are:
[tex]T = 15000 + 4s[/tex]
They want to earn at least 450,000, hence:
[tex]T \geq 450000[/tex]
[tex]15000 + 4s \geq 450000[/tex]
Solving it:
[tex]15000 + 4s \geq 450000[/tex]
[tex]4s \geq 435000[/tex]
[tex]s \geq \frac{435000}{4}[/tex]
[tex]s \geq 108750[/tex]
They need to sell at least 108,750 shirts.
A similar problem is given at https://brainly.com/question/24514895
For f(x)=−2x+4, find f(x) when x=−3.
Please help! Brainliest!
The graph f(x) = (x + 1)^2 – 7 is translated 3 units right and one unit up, resulting
in the graph g(x). Write an equation that represents the new function, g(x).
Answer: g(x) = (x-2)^2 - 6
Step-by-step explanation: The graph of x^2 is a parabola opening downward. The (x+1) stands for 1 unit to the left and -7 is 7 units down. Once you have graph f(x) = (x+1)^2-7, there you should be able to graph g(x)=(x-2)^2-6. From there, its asks to go 3 units right which gives (x-2) and 1 unit up which gives -6.
(x+1) is x=-1 and (x-2) = 2.
Hope this helps.
If it is given that log2 a= 5 , write the value of a as a power of 2
In other words, write it in exponential form.
To write a as a power of 2, your log form should be written this way: log_2 (5) = a.
We can then then write it in exponential form showing a as a power of 2.
Here it is:
2^(a) = 5
Lesson 3: Revisiting Proportional Relationships
A diver descends 3.2m in 5min. what was his average rate of descent in metres per minute?
Divide distance by time:
3.2 meters / 5 minutes = 0.64
The descent was -0.64 meters per minute
Answer:
.64
Step-by-step explanation:
Whenever you see x per y that means that you're looking at a ratio, which can be expressed as a fraction.
It would look like 3.2/5
The rate of descent may not be consistent, but on average it's reflected by the ratio and so you can just cut 3.2 meters into five equal parts to see, on average, how far the diver descended every minute.
find the slope of the line that contains each pair of points -9,-5 and 6,-5
Parallelogram ABCD has vertex coordinates A(0, 1), B(1,3), (4,3), and D(3,1). It is translated 1 unit to the right and 3 units down and then rotated 180°clockwise around the origin. What are the coordinates of A?
Answer:
A'(-1, 2)
Step-by-step explanation:
Translation 1 right and 3 down is accomplished by the transformation ...
(x, y) ⇒ (x +1, y -3)
Rotation 180° is accomplished by ...
(x, y) ⇒ (-x, -y)
Then the composition of transformations gives ...
(x, y) ⇒ (-x -1, -y+3)
The transformed coordinates of A(0, 1) are ...
A(0, 1) ⇒ A'(-0 -1, -1 +3) = A'(-1, 2)
120 to 140 what is the percent of change?
Answer:16.667%
Step-by-step explanation:
140 - 120 = 20
20 / 120 = 16.667%
4/9 7/21 change to percent
Answer:
Hi there, your answers here are 44% and 33%.
To convert 4/9 to a percent, first we can write it as a decimal - 0.44444444444. To get this decimal, we divide 4 by 9. Then, we multiply this decimal by 100 to get 44.4444444444, or roughly 44%.
To convert 7/21 to a percent, first we can write it as a decimal - 0.33333333333. To get this decimal, we divide 7 by 21. Then, we multiply this decimal by 100 to get 33.3333333333, or roughly 33%.