Answer: Irrational
==========================================================
Explanation:
Let's assume that pi+1 is rational
If so, then pi+1 = m/n where m and n are integers and n is not zero.
Let's isolate pi
pi+1 = m/n
pi = (m/n) - 1
pi = (m/n) - (n/n)
pi = (m - n)/n
This says that pi is rational, as it's in the form integer/integer. But in reality, pi is irrational. The decimal form of pi goes on forever without any known pattern.
So going back to the assumption where we said "pi+1 is rational", that assumption can't be true. If it were true, then it leads to a contradiction. Therefore, pi+1 is irrational.
[tex]\huge\text{Hey there!}[/tex]
[tex]\boxed{\huge\text{\boxed{\mathsf{\pi + 1}}}}\\\boxed{\boxed{\huge\text{\boxed{= \mathsf{3.141593 + 1}}}}}\\\\\boxed{\boxed{\huge\text{\boxed{= \bf 4.141593}}}}\\\\\boxed{\huge\text{\boxed{\pi \approx \bold{3.14}\ \& \ 3.14 + 1\ is \approx \bf \underline{\underline{4.14}}}}}[/tex]
[tex]\huge\bullet\huge\text{ Pi \boxed{\pi} is an irrational number so any}\\\huge\text{real numbers (0 \& up) cannot be}\\\huge\text{indicated (expressed) by the clearer}\\\huge\text{(simple) fraction\bf (s)}[/tex]
[tex]\boxed{\boxed{\huge\text{To \underline{ANSWER} Your question it is: \bf \underline{\underline{irrational}}}}}\huge\checkmark[/tex][tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]~[tex]\boxed{\huge\text{\boxed{\frak {Amphitrite1040:)}}}}[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is incorrect about the data set that includes 1,2,3,4,5,6,7?
A. The data set has no mode
B. The data set has a second quartile of 6
C. The data set has the same mean and median
D. The data set has an interquartile range of 4
Answer:
b or d
Step-by-step explanation:
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Answer:
A
Step-by-step explanation:
A mode is the value that appears most frequently in the data set because there is not more than one of any number the data set has no mode.
Find the area of the triangle ABC given A = 30°, b = 5, and c = 2 [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{2}[/tex]
3[tex]\frac{1}{8}[/tex]
4[tex]\frac{1}{8}[/tex]
12[tex]\frac{1}{2}[/tex]
Answer:
a=6.25 unit^2
Step-by-step explanation:
Given:
A=30°
b=5
c=2½
Required:
a=?
Formula:
a=½b*h
Solution:
a=½b*h
=½5*2½
=½*5*5/2
=0.2*5*5/2
=2.5*5/2
=2.5*2.5
=6.25 unit^2
Hope this helps ;) ❤❤❤
Answer:
The answer is B or 3 1/8
Step-by-step explanation:
Find the distance between the points (10, -4) and (1, 8).
Answer:
15
Step-by-step explanation:
Use the distance formula
d = distance
[tex]d=\sqrt{(10-1)^2 + (-4 - (8))^2\\[/tex]
Solve the equation to get the following:
[tex]d=\sqrt{9^2 + (-12)^2}[/tex]
[tex]d = \sqrt{81+144[/tex]
[tex]d=\sqrt{225[/tex]
[tex]d = \sqrt{15[/tex]
1. Is the function g(x) increasing or decreasing over the interval -2 < x <-1?
2. the function h(x) increasing or decreasing over the interval -2 < x <-1?
Answer:
g(x) increasing
h(x) decreasing
Step-by-step explanation:
Since the value of y gets larger as the value of x increases over the interval -2 <x<-1 for the function g(x), the function is increasing
Since the value of y gets smaller as the value of x increases over the interval -2 <x<-1 for the function h(x), the function is decreasing
3. One rule of thumb for estimating crowds is that each person Occupies 2.5 square feet.
Use this rule to estimate the size of the crowd watching a parade along the 1-mile
section of the route in Question 2.
mile
Answer:
5.83142789
Step-by-step explanation:
did it on a graphing calculator, hope this helps
A bookstore is selling books for $10 each. Which graph shows the relationship between the number of books, x, the store sold and the total amount of money, y, paid from the book sales?
Answer:
Graph B
Explanation:
A man drove 16 mi directly east from his home, made a left turn at an intersection, and then traveled 2 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
Answer:
16. 1 miles
Step-by-step explanation:
Using Pythagorean Theorem,
a^2 + b^2 = c^2
Since the road that goes from his home to work directly is c^2...
Plug in the rest of the numbers
16^2 + 2^2 = c^2
256 + 4 = c^2
260 = c^2
The reverse square of 260 is
16. 1 miles
Aaron and his 2 friends found some money and split it even. Each received $5.00. How much did they find? a. $1000 b. $100 c. $15 d. $1500
Answer:
15
Step-by-step explanation:
Aaron and his 2 friends = 3 people
Each received $5.00 = 3 people*5 each = 15 total
please please help thank you so much
The area of a rectangle is 90 ft2. If the rectangle is 9 feet long, what is its width?
Answer:
10
Step-by-step explanation:
just divide 90 by 0 and u will get the answer
Answer:
10ft
Step-by-step explanation:
To find the area of a rectangle, it is width✖️height.
Because the area and the height is given,
Area: 90ft^2
Height: 9ft.
to find the width, you need to divide 90/9=10
So, the width is 10ft.
To check just in case, you can multiply 10 ✖️9=90
Hope this helped, have a nice day!
help ASAP!!!
bensnsnana
Answer:
c
Step-by-step explanation:
plug in 6 or -6 into x. square it. get 36 -11 =25
Answer:
c/d(most likely d)
Step explanation:
f(x)=x^2-11
For f(x) to be <25 x^2-11 must be x^2-11 < 25
Number just greater than 25 is 26 so x^2-11<25
x^2-11<25
x^2<36
x<√36
Therefore, for x^2-11<25 x must be between +6 & -6
Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)
given m||n, find the value of x
Answer:
17 =x
Step-by-step explanation:
These are alternate interior angles and alternate interior angles are equal when the lines are parallel
9x+7 = 10x-10
Subtract 9x from each side
9x+7-9x = 10x-10-9x
7 = x-10
Add 10 to each side
7+10 =x-10+10
17 =x
there are two pots of milk containing 20 liters and 24 liters respectively .find the capacity of the largest container that can measure exactly milk both the cans
Answer:
A can with capacity 44 litres
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
please help! need the answers in order to move on:) will give brainliest to correct answer!
Answer:
[tex]27^{\frac{1}{5} }[/tex] = [tex]\sqrt[5]{27}[/tex]
[tex]\sqrt[4]{256} = \sqrt[4]{2^{8} } = 2^{2} = 4[/tex]
[tex]a^{\frac{b}{c} } = \sqrt[c]{a^{b} }[/tex]
[tex]\sqrt[3]{125^{2} } = \sqrt[3]{ (5^{2})^{3} } = 5 ^{2} = 25[/tex]
[tex]\sqrt{112} = \sqrt{2^{4} * 7 } = 4\sqrt{7}[/tex]
Step-by-step explanation:
What is the answer for 3x+2(4x-4)=3?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{x = 1}}}}[/tex]Step-by-step explanation:
[tex] \sf{3x + 2(4x - 4) = 3}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{3x + 8x - 8 = 3}[/tex]
Collect like terms
⇒[tex] \sf{11x - 8 = 3}[/tex]
Move 8 to right hand side and change it's sign
⇒[tex] \sf{11x = 3 + 8}[/tex]
Add the numbers
⇒[tex] \sf{11x = 11}[/tex]
Divide both sides of the equation by 11
⇒[tex] \sf{ \frac{11x}{11} = \frac{11}{11} }[/tex]
Calculate
⇒[tex] \sf{x = 1}[/tex]
Hope I helped!
Best regards!
Answer:
x=7/20
Step-by-step explanation:
you have to multiple the outside factor by number which are inside of parenthesis but the signs should be same
3x(4×)=12x
3x(4)=12
2(4x)=8x
2(4)=8
write it as an equation and find the like terms
12x-12+8x-8=3
20x-4=3
Then add 4 and divided
20x-4=3
+4 +4
20x/20=7/20
the is a fraction
x=7/20
What is the image of (-5, -1) after a reflection over the x-axis?
Answer:
( -5, 1)
Step-by-step explanation:
When we reflect over the x axis
(x,y)→(x,−y)
( -5, -1) becomes ( -5, - -1) which is ( -5, 1)
Determine the equation of the inverse of y = 1/4 x^3 - 2
All of 4x+8 is under a cube root sign.
=====================================================
Work Shown:
To find the inverse, we swap x and y, then solve for y.
[tex]y = \frac{1}{4}x^3 - 2\\\\x = \frac{1}{4}y^3 - 2\\\\x+2 = \frac{1}{4}y^3\\\\4(x+2) = y^3\\\\4x+8 = y^3\\\\y^3 = 4x+8\\\\y = \sqrt[3]{4x+8}\\\\[/tex]
------------
Side note:
If [tex]f(x) = \frac{1}{4}x^3 - 2[/tex] and [tex]g(x) = \sqrt[3]{4x+8}[/tex], then [tex]f(g(x)) = x[/tex] and [tex]g(f(x)) = x[/tex]for all x values in the domain. Effectively, you use function composition to confirm that we have the correct inverse equation.
find all the missing elements. A=109 C=13 b=6 B=? a=? c=?
Answer:
B = 58°a = 6.6896c = 1.5915Step-by-step explanation:
Given two angles and the side between them, the first step must be to find the value of the third angle, the one opposite the given side. It will be ...
B = 180° -A -C = 180° -109° -13° = 58°
Using this information and the Law of Sines, you can find the remaining sides.
a/sin(A) = b/sin(B) = c/sin(C)
__
Then the missing sides are ...
a = b(sin(A)/sin(B)) = 6(sin(109°)/sin(58°)) ≈ 6.6896
c = b(sin(C)/sin(B)) = 6(sin(13°)/sin(58°)) ≈ 1.5915
The missing measures are ...
B = 58°
a = 6.6896
c = 1.5915
Answer: make sure to round !!B = 58°
a = 6.7
c = 1.6
Step-by-step explanation:
PLEASE I JUST WANT A GOOD GRADE The spinner below shows 10 equally sized slices. Diane spun the dial 50 times and got the following results.
Outcome White Grey Black
Number of Spins 19 13 18
Fill in the table below. Round your answers to the nearest thousandth.
Part (a)
The experimental or empirical probability is based on the results shown in the table. There are 13 instances of grey out of 50 spins total. Therefore, we end up with an experimental probability of 13/50. This converts to the decimal form 0.26
Answer: 0.26===============================================
Part (b)
Since each slice is of equal size, this means theoretically each slice should have the same chance of being landed on. We have 3 grey slices out of 10 total. The probability of landing on a grey space is 3/10 = 0.3
Answer: 0.3===============================================
Part (c)
Answer: Choice A)As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.
The theoretical probability is locked to 0.3 the whole time (only the experimental probability changes). This is according to the Law of Large Numbers.
i need help asap im timed
Answer:-
Refer to attachment for the required solution.
Answer:
Step-by-step explanation:
a golf course is trying to determine par for a particular hole. calculate the value they should put on the sign where people tee off so they know what par is for this hole.
The value they should put on the sign where people tee off so they know
what par is for the hole is six (6)
The reasoning through which the correct answer is arrived at is presented here given table of values which is presented as follows;
[tex]\left[\begin{array}{ccc}Golf \ Strokes \ (x)&Frequency \ (f) & f \times x\\2&16& 32\\3&21&63\\4&23&92\\5&20&100\\6&54&324\\7&40&280\\8&23&184\\9&16&144\\\sum&213&1,219\end{array}\right][/tex]
The mean number of golf strokes for the hole is ∑(f·x)/∑f
The calculation for f × x on the table includes;
∑(f·x) = (2×16 + 3×21 + 4×23 + 5×20 + 6×54 + 7×40 + 8×23 + 9×16) = 1219
∑f = 16 + 21 + 23 + 20 + 54 + 40 + 23 + 16 = 213
∴ ∑(f·x)/∑f = 1,219/213 = 5.72 ≈ 6
The mean number of golf strokes expected is approximately 6 strokes
The value they should put on the sign where people tee off so they know what par is for the hole is 6
Find the surface area of the composite figure
Answer:
268
Step-by-step explanation:
2(2×6+2×2+2×6) + 2(4×5+4×10+10×5) - 2(2×2)
= 56+220-8
= 268 cm²
Answer:
272cm
Step-by-step explanation:
So the green block has 6 sides
the height of the prism is 4cm
the length is 10cm
and the width is 5cm
to find the top and bottom sides we must find the width and length
5x10=50cm so The bottom and top are double that so 100cm is covered so far
to find the longer sides, we times 4 by 10 = 40x2 = 80cm which covers 2 sides
and the last 2 sides of the green block are the smaller ones so 4x5 = 20 but that covers one side so we times by 2 andd that gives us both sides so 40cm
all 6 sides are covered so we can add up the numbers
top and bottom = 100cm
front back = 80cm
left and right = 40
add them all up and we get 220
now we see the purple block, this is the Same process as before
top = 2x2 = 4
bottom = 2x2 = 4
front = 6x2 = 12
back = 6x2 = 12
left = 6x2 = 12
right = 6x2 = 12
add them together and we get 56cm
the surface area of both of them Is 220+56 = 276cm
however the bottom of the purple prism is on top of the top of the green prism. Because we know the surface area of the bottom of the purple (4) and the top Surface of the green (50).
this allows us to subtract the prism above because of the bottom shapes surface so the actual answer is 272cm hope this helped
what is the probability notation for the probability for choosing a green marble?
The probability notation for the probability for choosing a green marble is [tex]P(G)=\frac{n(G)}{n(T)}[/tex], where [tex]n(G)[/tex] denotes the number of green marbles and [tex]n(T)[/tex] denotes the number of total marbles in the bag (or from wherever we are choosing).
The probability of occurrence of an event is the ratio of the number of favorable outcomes and the total number of outcomes, where the favorable outcomes are the outcomes that implies the occurrence of the event.
Here, the event is "choosing a green marble". So, the number of green marbles in the bag is the number of favorable outcomes and the total number of marbles in the bag is the total number of outcomes.
Denoting [tex]G[/tex] as the event of "choosing a green marble", the notation [tex]P(G)[/tex] denotes the probability of event [tex]G[/tex], that is, probability of choosing a green marble.
Denoting [tex]n(G)[/tex] and [tex]n(T)[/tex] as the number of green marbles and total number of marbles respectively, by the definition, the probability notation for the probability for choosing a green marble is given as [tex]P(G)=\frac{n(G)}{n(T)}[/tex].
Learn more about probability notation here:
https://brainly.com/question/22159331
8 to the power of 6 divided by 8 to the power of 2
PLZ HELP ASAP WILL MARK BRAINLIEST
Answer:
4096
Step-by-step explanation:
8^6÷8^2
First step is to solve the exponents
8 to the power of 6 is 262144
8 to the power of 2 is 64
Then divide 262144 by 64 : 4096
Answer:
it is a law of axponent that is a to the power m divided by a to the power n = a to the power m-n
so 8 to the power 6-2
= 8 to the power 4
that will be 4,096
What is the equation for a circle centered at the origin (0,0)?
a) r sqt = x sqt + y sqt
b) r sqt =(/x+y) sqt
c) r= /x+y
d) r=x+y
Answer:
[tex]{ \sf{ \sqrt{r} = \sqrt{(x {}^{2} + {y}^{2} ) } }}[/tex]
Step-by-step explanation:
General equation:
[tex]{ \bf{ {x}^{2} + {y}^{2} + 2ax + 2by + c = 0}} \\ [/tex]
but a and b are 0:
[tex]{ \bf{ {x}^{2} + {y}^{2} = {r}^{2} }} \\ { \bf{ \sqrt{ {x}^{2} + {y}^{2} } = \sqrt{r} }}[/tex]
You own a farm and have several fields in which your livestock grazes. You need to order barbed-wire fencing for a small pasture that has a length of 5 yards and a width of 3 yards. The barbed wire must be long enough to be placed on all four sides of the outside pasture. How many yards of barbed-wire should you order?
Answer:
16 yards of barbed wire
Step-by-step explanation:
Length=5 yards
Width=3 yards
Perimeter of the pasture=2(length + width)
=2(5 yards +3 yards)
=2(8 yards)
=16 yards
You should order 16 yards of barbed wire for fencing the pasture
Geometry, please answer question ASAP
Answer:
D
Step-by-step explanation:
Cos(D) = adjacent / hypotenuse
The adjacent side is the one making up angle D
adjacent side = f
hypotenuse = e
Cos(D) = f/e
D = cos-1(f/e)
PLZ HELP! please answer both if you can!!
1. What is the area of the following triangle in square meters? Do not round your answer. A = a0 m 2
2.What is the average of the two bases in the following trapezoid in feet? 18 ft 11 ft 14.75 ft 22 ft
Answer:
0.324m^2 ; 18 ft
Step-by-step explanation:
Given the triangle :
Base (b) of triangle = 54cm
Height (h) of triangle = 1.2m
Area(A) of a triangle is given by:
0.5 * base * height
Base = 54cm = 54/100 = 0.54 m
Therefore,
A = 0.5 * 0.54m * 1.2m
A = 0.324m^2
2.) Average of the two bases in the trapezoid :
From the trapezium Given :
Base 1 = 15 feets
Base 2 = 7 yards
1 yard = 3 Feets
Therefore, base 2 in Feets = 7 * 3 = 21 Feets
Average of the two bases :
(21 Feets + 15 Feets) / 2
= 36 Feets / 2
= 18 Feets
Solve the equation. The letters a, b, and c are constants and a≠0
ax-7b = 9c
i got confused bc it doesn’t tell me what to solve for. please help! thank you!
The length of a room is two times its breadth and three times its height . if the cost of white wash on the 4 wall at Rs. 50 per m² is Rs. 7200, find the cost of carpeting its floor at Rs. 325 per m²
Answer:
Step-by-step explanation:
let the height of the room(h) = x
Length(l) = 3*x = 3x
length = 2 * breadth
breadth(b) = length /2 = 3x/2
Cost of whitewashing the 4 walls = ₹ 7200
Area of 4 walls = 7200 ÷ 50 = 144 m² ------(I)
Area of walls = 2lh + 2bh
= 2*3x*x + 2 *[tex]\frac{3x}{2}[/tex] * x
= 6x² + 3x²
= 9x²
9x² = 144 {From (I)}
x² = 144/9
x² = 16
x = [tex]\sqrt{16}=\sqrt{4*4}[/tex]
x = 4 m
height = 4 m
length = 3*4 = 12m
Breadth = [tex]\frac{3}{2}*4=3*2=6 \ m[/tex]
Area of floor = l*b
= 12 * 6
= 72 m²
Cost of carpeting the floor = 72 * 325 = ₹ 23400