Answer:
Seven isn't part of the set of irrational numbers.
Step-by-step explanation:
Seven and the Set of all Natural NumbersStart with the smallest set among the choices. The set of all natural numbers, [tex]\mathbb{N}[/tex], starts with [tex]0[/tex] (or [tex]1[/tex], for some people.) A number [tex]n[/tex] is in [tex]\mathbb{N}\!\!\![/tex] (write [tex]n \in \mathbb{N}[/tex]) if and only if [tex](n - 1)[/tex] is in [tex]\mathbb{N}\![/tex]. Conversely, if [tex]n\![/tex] is indeed in [tex]\mathbb{N}\!\!\!\!\![/tex], then [tex](n + 1)[/tex] would also be in [tex]\mathbb{N}\!\!\!\!\!\!\![/tex]. For [tex]7[/tex]:
[tex]1 \in \mathbb{N} \implies 2 \in \mathbb{N}[/tex].
[tex]\vdots[/tex].
[tex]6 \in \mathbb{N} \implies 7 \in \mathbb{N}[/tex].
Therefore, [tex]7[/tex] is indeed in the set of all natural numbers.
Seven and the Set of all IntegersSimilarly, a number [tex]n[/tex] is in the set of integers, [tex]\mathbb{Z}[/tex], if and only if either [tex](n - 1)[/tex] or [tex](n + 1)[/tex] is (or both are) in [tex]\mathbb{Z}\!\![/tex].
Conversely, if a number [tex]n[/tex] is in [tex]\mathbb{Z}[/tex], then both [tex](n - 1)[/tex] and [tex](n + 1)[/tex] will be in [tex]\mathbb{Z}\![/tex].
It can be shown in a similar iterative way that [tex]7 \in \mathbb{Z}[/tex].
Alternatively, consider the fact that the set of all natural numbers, [tex]\mathbb{N}[/tex], is a subset of the set of all integers, [tex]\mathbb{Z}[/tex]. Therefore, [tex]7 \in \mathbb{N}[/tex] implies that [tex]7 \in \mathbb{Z}[/tex].
Seven and the Set of all Rational NumbersA number [tex]m[/tex] is a member of the set of all rational numbers [tex]\mathbb{Q}[/tex] if and only if there exists two integers [tex]p[/tex] and [tex]q[/tex] such that:
[tex]\displaystyle m = \frac{p}{q}[/tex].
[tex]1[/tex] and [tex]7[/tex] are both integers. If [tex]p = 7[/tex] and [tex]q = 1[/tex], then [tex]\displaystyle 7 = \frac{7}{1} = \frac{p}{q}[/tex]. Hence,
Alternatively, note that the set of all integers, [tex]\mathbb{Z}[/tex], is a subset of the set of all rational numbers, [tex]\mathbb{Q}[/tex]. Therefore, the fact that [tex]7 \in \mathbb{Z}[/tex] would imply that [tex]7 \in \mathbb{Q}[/tex].
Seven and the Set of all Irrational NumbersA number is in the set of all irrational numbers if and only if:
this number is in the set of all real numbers, andthis number is not in the set of all rational numbers. (Hence "irrational.")Therefore, the fact that [tex]7[/tex] is a rational number implies that it is not an irrational number.
Answer:
irrational numbers
Step-by-step explanation:
Find the equation of a line in parallel to y=2x + 8 that passes through the point (4, 4).
The sum of any two consecutive prime numbers is also prime true or false
Answer:
True
Step-by-step explanation:
125 feet in 25 seconds what’s the unit rate?
Answer:
The unit rate is 5 ft/1 second
Step-by-step explanation:
Unit rates must always be a fraction with a denominator of 1
Our unit rate is 125/25
To get to a denominator of 1 divide 25 by 25
25 ÷ 25 = 1 second
What we do to one side we have to do to the other so also divide 125 by 25
125 ÷ 25 = 5 ft
The selling price of an article becomes 27/25 times the listed price due to the inclusion of sales tax. find the rate sales tax.
Answer:
8%
Step-by-step explanation:
If you subtract 1 times the original cost, the result is the tax rate:
27/25 - 1 = tax rate = (27 -25)/25 = 2/25 = 8/100 = 8%
The tax rate is 8%.
There are 12 pencils and eight pens in a cup holder select all of the simplified ratios that could be written (MULTIPLE CHOICE) A: 6 to 4 B: 5 to 3 C:4:10 D: 5:2 E: 3/2 F:5/2 I WILL GIVE BRAINLIEST TO FIRST ANSWER
What is the empirical formula of an oxide of chromium that is 48 percent oxygen by mass?
Answer:
CrO₃.
Step-by-step explanation:
We'll begin by calculating the percentage of chromium in the oxide. This can be obtained as follow:
Oxygen (O) = 48%
Chromium (Cr) =?
Oxide of chromium contains only chromium and oxygen. Therefore, the percentage of chromium in the oxide is given by:
Cr = 100 – percentage of oxygen
Cr = 100 – 48
Cr = 52%
Finally, we shall determine the empirical formula of the oxide as follow:
Chromium (Cr) = 52%
Oxygen (O) = 48%
Divide by their molar mass
Cr = 52/52 = 1
O = 48/16 = 3
Divide by the smallest
Cr = 1/1 = 1
O = 3/1 = 3
Therefore, the empirical formula of the oxide is CrO₃.
Write the following set using roster notation. Do not include repeats.
C is the set of colors in a U.S. flag.
Answer:
Step-by-step explanation:C
Need help with the question attached ASAP. Will give 5 stars & brainliest!
if sum of any two angles 90 then they are called complementary
A +B =90 let the complement of A is B
4x+2 +B =90
B= 90-4x-2
B = 88-4x
complementary angle = B = 88-4x
♡Hope it helps♡
Please help with geometry ASAP
Answer:
≈ 0.39
Step-by-step explanation:
Area of circle:
S = πr² = π4² ≈ 50.27 cm²Area of triangle:
S = 1/2bh = 1/2*2*3 *(4+2.5) = 19.5 cm²Probability of the point within red shaded area:
P = 19.5/50.27 ≈ 0.39Evaluate A² for A = -3
Answer:
9
Step-by-step explanation:
If A = - 3, than A^2 is equal to (-3)^2
If a number is squared (to power of 2), it is multiplied by itself (there are two of that number being multiplied together) so it is - 3x-3
-3 x - 3 = 9,
Because 3x3 =9 and a negative multiplied by a negative makes a positive.
Hope this helped!
Answer:
9
Step-by-step explanation:
(A)^2 is a better way to write it. That way the answer is unambiguous (-3)^2 = -3 * - 3 = 9
That is the answer.
How many solutions exist for -2|3x − 1| = 0?
Answer:
one solution
Step-by-step explanation:
-2|3x − 1| = 0?
Divide each side by -2
|3x − 1| = 0
3x-1 = ±0
Since +0 = -0 =0
3x-1 =0
There will be only one solution
What is the solution the equation 1/4x +2= -5/8x-5
Answer:
-8
Step-by-step explanation:
I've taken a picture of the way I solved the equation.
Square root of 45 to the nearest five hundredths
Answer:
√45 =6.71
Step-by-step explanation:
[tex]\sqrt{45} = 6.708203932\\\\= 6.71[/tex]
Mr. Lowe is setting up his room for art class. He has 6 boxes of crayons with 24 crayons each, 3 packages of pencils with 20 pencils each, and 9 packages of paint brushes with 15 brushes each. What is the difference between the total number of crayons and the total number of paint brushes?
so first we need to find the total number of crayons
to do that we're going to multiply 6 by 24 cause each box has 24 crayons
24 × 6 = 144
so the answer of total number of crayons is 144 crayons
next we're going to find the total number of paint brushes
to do that we're going to multiply 9 by 15 cause each package has 15 paint brushes
9 × 15 = 135
so the answer of total number of paint brushes is 135 crayons
finally we're going to calculate the difference
so its 144 crayons subtracted by 135 paint brushes
144 - 135 = 9
so the difference of total number of crayons and total number of paint brushes is 9
hope that helped :))
The difference between the crayons and the paintbrush the total. I just see which one is greater
frank liked to buy packs of baseball cards. on 3 different days, he bought 3 packs. on 3 other days, he bought 4 packs each day. After that he splits his packs with his 2 brothers. How many packs will they each have. Choose the expression that best matches this situation.
Answer:
First, frank buys 3 packs on 3 different days, so in those first 3 days he buys:
3*3 = 9 packs.
Then on other 3 days he buys 4 packs each day, so he has:
3*4 = 12 packs.
In total he haves:
9 + 12 = 21 packs.
Now he divides the packs with his 2 brothers (So we divide 21 packs between 3 people)
Then each brother gets:
N = 21/3 = 7 packs each.
3(2x+3)-4(3x-6)=16 show and explain.
Answer:
x = 17/6
Step-by-step explanation:
First of all remove parenthesis by using distribution
6x + 9 - 12x + 24 = 16
Then collect all like terms
-6x + 33 = 16
After that move the constant to the right
- 6x = 16 - 33
Calculate 16 - 33
-6x = -17
Divide both sides
x = 17/6
Hope this helps!
how to write 2.31818 as a mixed fraction
Answer:
[tex]2\frac{15909}{5000}[/tex]
Step-by-step explanation:
To make [tex]2.31818[/tex] into a fraction, you must first move it to the numerator and make 1 the denominator.
[tex]\frac{2.31818}{1}[/tex]
And then you multiply it by [tex]10,000[/tex] or you can say [tex]10^5[/tex]
[tex]\frac{2.31818}{1}*\frac{100000}{100000}[/tex]
After you multiply you divide the numerator and denominator by 2.
[tex]\frac{231818/2}{100000/2}[/tex]
And now this equals:
[tex]2\frac{15909}{5000}[/tex]
Hope this helps!
The number before the decimals always represents the whole number of a mixed number and the number after the decimals represents the fraction part of the mixed number.
2.31818 = 2.0 + 0.31818
In 2.31818
2 represents the whole number and
0.31818 represents the fraction 31818/100000
Dividing the fraction 31818/100000 by 2 gives
15909/50000 which cannot be further reduced.
2.31818 = 2 [tex]\frac{15909}{50000}[/tex]
https://brainly.com/question/1369626
How do you do this question?
Answer:
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Step-by-step explanation:
∫ 15 sin(√(at)) dt
Use substitution:
If x = √(at), then:
dx = ½ (at)^-½ (a dt)
dx = a / (2√(at)) dt
dx = a/(2x) dt
dt = (2/a) x dx
Plugging in:
∫ 15 sin x (2/a) x dx
30/a ∫ x sin x dx
Integrate by parts:
If u = x, then du = dx.
If dv = sin x dx, then v = -cos x.
∫ u dv = uv − ∫ v du
= 30/a (-x cos x − ∫ -cos x dx)
= 30/a (-x cos x + ∫ cos x dx)
= 30/a (-x cos x + sin x + C)
Substitute back:
30/a (-√(at) cos(√(at)) + sin(√(at)) + C)
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Which division problem does the number line below best illustrate? A number line going from 0 to 13. An arrow jumps from 0 to 3, from 3 to 6, from 6 to 9, and from 9 to 12. please help ;(
Without the screenshot, it's fairly difficult to know what your teacher wants exactly. I found this similar problem
https://brainly.com/question/13583475
which might help. It sounds like you have 4 semicircles which can be thought of as a division problem 12/3 = 4. Note how I'm dividing by 3 which is the width of each section (eg: from 6 to 9 is 9-6 = 3 units)
Answer:
Which division problem does the number line below best illustrate?
A number line going from 0 to 2. Arrows go from 0 to 2, from 2 to 4, from 4 to 6, from 6 to 8, and from 8 to 10.
10 divided by 2 = 5
15 divided by 3 = 5
50 divided by 5 = 10
20 divided by 10 = 2
Step-by-step explanation:
which means its a
Kenya wants to buy a car. Dealer A said she could pay $2000 upfront and $150 per month after. When will she have paid $3500
Answer:
10 months
Step-by-step explanation:
3500 - 2000 = 1500
1500/150 = 10
Answer:
On the 23rd month
Step-by-step explanation:
Need as much help as I can get before 7 minutes are over
Answer:
think the answer is E but not 100%. been a while. let me know either way
Three roommates split the utilities each month for their apartment. If the utilities for this month add up to $162.54, how much do they each owe?
Answer:
54.18
Step-by-step explanation:
how do you decipher between the graphs of cubic and cube root parent functions
Answer:
Step-by-step explanation:
.....
If two angles form a linear pair, they are
Answer:
If two angles form a linear pair, they are supplementary.
Step-by-step explanation:
A linear pair is two angles that are adjacent and the non-common sides form a straight line.
Answer:
They are supplementary
Step-by-step explanation:
A linear pair is two angles ajacent. The non - common side forms a straight line. So the angles added together are equal to 180 degrees.
#7: Twenty-three more than 10 times a number is the same as 5 more than 1 point
the number. *
Your answer
26 more than twice the
Answer:
23+10r= 5+r
Step-by-step explanation:
let r be the number
the quotient of 13÷24 is a decimal number. which digit in the quotient is overlined?
Answer:
6 would be the overlined number
Step-by-step explanation:
Answer:
6 will be the overlined number.
Step-by-step explanation:
z-ak=y+c solve for a
In June 2011, CBS News and the New York Times reported the results of a poll about problems and priorities for the U.S. In the poll, 979 U.S. adults answered the question, “What do you think is the most important problem facing this country today?” From a list of options, 53% of those polled said “economy/jobs.” This is an observational study designed to answer a question about a population. Who is the population?
Answer: All adults of United States.
Step-by-step explanation:
A population is a large community of individuals that share some same characteristic or root.Here, the study is all about the problem have been facing by the population of U.S.
Since adults of a society are likely voters.
So, population = All adults of United States., as only they can address the current situation or problems because they live there.
evaluate the function for f(2)
f(t) =-t - 5; find f(2)
Answer:
[tex]f(2)=-7[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(t)=-t-5[/tex]
To find f(2), substitute 2 for t. Thus:
[tex]f(2)=-2-5[/tex]
Subtract:
[tex]f(2)=-7[/tex]
And, we're done!
18. Identify the inverse function of
Answer:
[tex]\huge\boxed{D) \ f^{-1}(x) = (x-3)^2+2}[/tex]
Step-by-step explanation:
[tex]f(x) = \sqrt{x-2} + 3[/tex]
Replace f(x) by y
[tex]y = \sqrt{x-2} + 3[/tex]
Interchange x and y
[tex]x = \sqrt{y-2} + 3[/tex]
Solve for y
[tex]x = \sqrt{y-2} + 3[/tex]
Subtracting 3 to both sides
[tex]x - 3 = \sqrt{y-2}[/tex]
Taking square on both sides
[tex](x-3)^2 = y-2[/tex]
Adding 2 to both sides
[tex]y = (x-3)^2 + 2[/tex]
Replace [tex]y = f^{-1}(x)[/tex]
[tex]f^{-1}(x) = (x-3)^2+2[/tex]