[tex]\large\underline{\sf{Solution-}}[/tex]
We have to find out the value of the fraction.
Let us assume that:
[tex] \sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } } [/tex]
We can also write it as:
[tex] \sf \longmapsto x =2 + \dfrac{1}{x} [/tex]
[tex] \sf \longmapsto x =\dfrac{2x + 1}{x} [/tex]
[tex] \sf \longmapsto {x}^{2} =2x + 1[/tex]
[tex] \sf \longmapsto {x}^{2} - 2x - 1 = 0[/tex]
Comparing the given equation with ax² + bx + c = 0, we get:
[tex] \sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}[/tex]
By quadratic formula:
[tex] \sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1} [/tex]
[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1} [/tex]
[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2} [/tex]
[tex] \sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2} [/tex]
[tex] \sf \longmapsto x = 1 \pm\sqrt{2}[/tex]
[tex] \sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}[/tex]
But "x" cannot be negative. Therefore:
[tex] \sf :\implies x = 1 + \sqrt{2}[/tex]
So, the value of the fraction is 1 + √2.
The set of ordered pairs below represents a relation that is a function.
Which point, when added to the set, would form a relation that is not a function?
A
(0,6)(0,6)(0,6)
B
(4,2)(4,2)(4,2)
C
(−6,8)(-6,8)(−6,8)
D
(−8,10)(-8,10)(−8,10)
Answer:
I'm confused by the points:
Why three points for each (A, B, C, and D)?: A: (0,6)(0,6)(0,6), etc.
Points A and B [(0,6) and (4,2)] are consistant with a straight line of the form y=-x+6.
Points C and D [(-6,8),(-8,10)]are on the line y=-x+2.
A and B aren't related to C and D.
Step-by-step explanation:
FEAR OF CLOWNS When you see a clown, what do you feel? You feel happy and ready to laugha, right? That's because we know that clowns make jokes, do funny antics and perform tricks to make us laugh. But did you know that there are people who tremble with fear when they see a clown?
These people have an unnatural fear of clowns. To know what this phobia is called:
Directions: Encircle the CORRECT LETTER. Then write the correct letter on the blank below. Determine the equation of a line passing through the following points. Use another sheet of paper for the solution.
Answer:
Coulrophobia
Step-by-step explanation:
Coulrophobia
Simplify by collecting like terms
r^+5r+3r^-2r
By the way
^= square
Ill also attach a photo, thankssss!
Answer:
Step-by-step explanation:
Like terms have same variable with same power.
r² + 5r + 3r² - 2r = r² + 3r² + 5r - 2r
= 4r² + 3r
5/8-(1/4) to the power of 2
Answer:
[tex]\frac{9}{16}[/tex]
Step-by-step explanation:
[tex]\frac{5}{8}[/tex] - [tex](\frac{1}{4}) ^{2}[/tex]
= [tex]\frac{5}{8}[/tex] - [tex]\frac{1}{16}[/tex]
= [tex]\frac{10}{16}[/tex] - [tex]\frac{1}{16}[/tex]
= [tex]\frac{9}{16}[/tex]
5 = t + 12
please help me for this
Answer:
t = -7
Step-by-step explanation:
You have to get t by itself. Just take the 12 and subtract it from both sides. 5-12 on the left and 12-12 on the right. You then end up with -7 = t or t = -7.
Determine the value of the expression 2(x - 3) when x = 2.
Answer:
-2
Step-by-step explanation:
2(x-3), x=2
Since we know what x equals, plug it into the equation
2(2-3)
2(-1)
-2
Answer:
2(2-3)
4-3
1
Step-by-step explanation:
[tex]2(2 - 3) \\ 4 - 3 \\ 1[/tex]
the line through (6, 1) and (-3,5) in
slope-intercept form
Answer: y = -4/9x + 11/3
Step-by-step explanation:
Self explanatory solve porfavor
2(2/5) divided 2(-1/5)
we do PEMDAS meaning parenthesis first
2(2/5) = 4/5(calculator)
or
2/1x2/5=4/5
now
2/1x-1/5=-2/5
now we do division
4/5/-2/5 we get -2
-2
8.90 x 3.12 will give brainlist
27.768
Multiply 890 and 312
This equals 277680
We know that there were 4 numbers behind a decimal point
Therefore the last four numbers of 277680 need to be behind a decimal point as well
So you're answer is 27.7680 or 27.768
please do this for me
Answer:
Nznxnsnxjjskskksjs
Step-by-step explanation:
Jznkznxnizei2buz
Ijsjwoxokdid8oe
Pdkdjj29eoeokekdkx
Oekwksjns
Osjsjnsoxmd
Nsksmsms
Mxmzms
Mz. X
Mmz z.z.z.xxmx nzm, mz
Z. Nx. Z
Znx z. Xm x. X. Nx. M. M mznmz. N. N.
Jsns. Kxmsmkjjs. S
Nnn9777655ujnzjsi3r
Orjrd
Mdkd
Diddkfmcjxmmxnnxm
NHS n,. Z m. ,., m n, n
.. Hmm n bzjs. S
Nznzmmzm.
Zjjams
Kznsnndm
Sksm
S
Ksjsnssjsnmd
Xnxm
. Znnxmxnxnxnnxjz. Znnd. N, nz. Znz..., x
Nxs
how would you compare the sizes of two balls
Answer:
You could compare the mass of each ball and volume, You could also find the height of each ball or diamiter. I really hope this isnt satire.
how much is 40+ 12= and 34=23=34=45=4=
Answer:
52 and 150?
Step-by-step explanation:
40+12=52
34+23+34+45+4
Simplify: 57+34+49
Simplify: 91+49
Add: 140
Write a unit rate for each situation . 20$ saved in 4 weeks
Answer:
so the answer is 5
Step-by-step explanation:
20/4=5
PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS OR WILL BE REPORTED.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is ~
A. [tex]-{x}^{2}+x+3[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
The solution is in attachment ~
Solve the math problem
Answer:
Step-by-step explanation:
2a. Slope is positive
2b. Slope is negitive
2c. Slope is zero
3a. Slope is positive 1.
3b. Slope is [tex]\frac{-4}{3}[/tex]
If the heights of a population of men are approximately Normally distributed, and the middle 99.7% have heights between 5'0" and 7'0", what is the standard deviation of the heights of the population?
a. 1"
b. 12"
c. 6"
d. 4"
e. 3"
Answer:
4 inches
Step-by-step explanation:
the middle number is 6 and the distance from 99.7 from the middle is 3 standard deviations. 12/3 =4
The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean. The correct option is e.
What is the empirical rule?If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.
It is given that the heights of a large population of ostriches are normally distributed. The percentage of these heights is within 3 standard deviations of the mean.
As we know from the empirical rule:
It is the rule of 68-95-99.7.
From the data given in the question: The height of a large population of ostriches is normally distributed.
X ~ (u, б²)
Normal distribution.
P{u - 3б < X < u + 3б}
From the distribution table:
P{u - 3б < X < u + 3б} = 99.7%
Thus, the value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
Learn more about the empirical rule here:
brainly.com/question/5440679
#SPJ2
find value of each variable and the measure of each label (2x+32) (3x-5)
Answer:
Step-by-step explanation:
(2x+32) (3x-5)
(2x+3x) (32-5)
(5x*27)
hope this helps
a shop only buys bananas with length between 13cm and 20cm. Estimate the fraction of the 80 bananas that the shop buys
Answer:
[tex]\frac{44}{80}[/tex]
Step-by-step explanation:
We know that the shop only buys Banana with lengths between 13 cm and 20 cm.
So, the fraction of the 80 bananas is actually a ratio between the y-values of each length (13 and 20 cm) and the total 80. First, let's see which y-values belong to each length.
Notice that 13 below to 20 at Cumulative Frequency. And 20 belongs to 62. So, the pairs are (13,20) and (20,62).
[tex]\frac{62-20}{80} =\frac{42}{80}[/tex]
Therefore the shop only buys 42 bananas out of 80, because those are between 13 cm and 20 cm.
Answer:
44/80
Step-by-step explanation:
If the mean of the numbers 8, 9, 10, 11, and x is 12, then what is the value of x?
A. 7
B. 12
C. 22
D. 38
Answer:
C=22
Step-by-step explanation:
8+9+10+11+x divided by 5 gives 12
38+x divide by five gives 12
12×5=60
38+x=60
x=22
brainlist please
Help me show my work on 13.
Answer:
Just show basic multiplication skills that we learned in 3th grade i suppose since your teacher dosen't have a brain to figure this out
Segment AB measures 3 cm.
How long is the image of AB after a dilation with scale factor 1/5
Answer:
The answer is 3/5cm
Step-by-step explanation:
To find:
3 x 1/5.
3 x 1/5 = 3/5.
Therefore the answer is 3/5cm
I need help with this math
Answer:
D
Step-by-step explanation:
∠1 + ∠2 = 180 {Supplementary angles}
6x + 15 + 3x + 3 = 180
6x + 3x + 15 + 3 = 180
Combine like terms
9x + 18 = 180
Subtract 18 from both sides
9x = 180 - 18
9x = 162
x = 162/9
x = 18
∠2 = 3x +3
= 3*18 + 3
= 54 + 3
∠2 = 57°
Answer:
Answer is option D) 57°
Here is the explanation...
For the reaction 2Fe + O2 → 2FeO, how many grams of iron oxide are produced from 42.4 mol of iron?
In the balanced reaction
2 Fe + O₂ → 2 FeO
2 moles of iron (Fe) react with 1 mole of molecular oxygen (O₂) to produce 2 moles of iron oxide (FeO). The ratio of Fe to FeO is 1-to-1, so if one starts with 42.4 mol of Fe, one will end up with the same amount of FeO, 42.4 mol.
Look up the molar mass of Fe and O:
• Fe = 55.845 g/mol
• O = 15.999 g/mol
Then the molar mass of FeO is approximately 71.835 g/mol, and so the mass of 42.4 mol of FeO is
(42.4 mol) × (71.835 g/mol) ≈ 3050 g
Which expression is equivalent to 5 to the power of 6
5^6
Answer:
5^6
5^6 is the same thing as
5^6=5×5×5×5×5×5
=5×5=25×5=125×5=625×5=3125×5=15625
5^6= 15625
Answer:
125 * 125
Step-by-step explanation:
do 125 x 125 = 15625
hi please help :)????
there's not information for me to help. what are the choices in the word box?
Fill in the blank: 4(3x + ?) = 12x + 16
A) 4, B) 16, C) 12, D) 4x
Answer:
A) 4
Step-by-step explanation:
4(3x + ?) = 12x + 16
\/
12x + ? = 12x + 16
What times 4 is 16?
4.
So our answer is A) 4
Pls help
bobik: yes, or no
Answer:
yes
Step-by-step explanation:
Answer:
?? Yes??
Step-by-step explanation:
How do I calculate (⅔)³×(4/9)⁴ with powers properties?
Notice that
4/9 = 2²/3² = (2/3)²
so that
(2/3)³ (4/9)⁴ = (2/3)³ ((2/3)²)⁴
… = (2/3)³ (2/3)⁸
… = (2/3)¹¹
what is [70+(-30)]+[2+(-9)]+[0.3+(-0.1)]
Answer:
33.2
Step-by-step explanation:
When you add the left side of the equation, you get 33.2 because 70-30 is 40, 40+2 is 42, 42-9 is 33, 33+0.3 is 33.03, 33.3-0.1 is 33.2.
When you add the right side of the equation, you get 33.2, because they are the same problem but on side has brackets.
Hope this helps you.
Someone help :(( thank youuuu so much if u do
Answer:
-10
Step-by-step explanation:
The equation would be -8 - (-10) = 2. When subtracting a negative, you are actually just adding a positive. It's like the two negative signs cancel each other out, so it would look more like -8 + 10 = 2. For the answer box, just put -10.