Please answer these tree questions in detail...
Will give Brainliest for the best...
Want answer in detail ASAP
Answers
Answer:
Step-by-step explanation:
14.
A.
x = 5.0081818181..
10x = 50.08181818181....
100x = 500.81818181818...
100x - x = 500.8181818... - 5. 008181818....
99x = 495.81
[tex]x = \frac{495.81}{99} = \frac{495.81 \times 100}{99 \times 100} \\\\\\x= \frac{49581}{9900}[/tex]
[tex]x = \frac{5509}{1100}[/tex]
14.
B.
[tex]\sqrt{50} - \sqrt{98} + \sqrt{162} \\\\\sqrt{ 2 \times 25} - \sqrt{ 2 \times 49} + \sqrt{2 \times 81}\\\\\sqrt{ 2 \times 5^2} - \sqrt{ 2 \times 7^2} + \sqrt{2 \times 9^2}\\\\5\sqrt2 - 7 \sqrt 2 - 9 \sqrt 2\\\\\sqrt{2} ( 5 - 7 + 9 ) \\\\7\sqrt2[/tex]
15.
[tex]\frac{3 + \sqrt5}{4 - 2\sqrt 5} \\\\= \frac{3 + \sqrt5}{4 - 2\sqrt 5} \times \frac{4 + 2\sqrt5}{4 + 2\sqrt5}\\\\[/tex] [tex][ \ rationalizing \ the \ denominator \ ][/tex]
[tex]=\frac{(3 + \sqrt5)(4 + 2\sqrt5)}{(4 -2 \sqrt5)(4 + 2\sqrt5)}\\\\=\frac{12 + 6 \sqrt5 + 4\sqrt5 + 2(\sqrt5)^2}{(4)^2 - (2\sqrt5)^2}[/tex] [tex][ \ (a - b)(a +b) = a^2 - b^2 \ ][/tex]
[tex]=\frac{12 + 10 + 10\sqrt5}{16 - (4 \times 5)}\\\\=\frac{22 + 10\sqrt5}{16 - 20 }\\\\=\frac{22+ 10 \sqrt5 }{-4}[/tex]
[tex]= \frac{11}{-2} + \frac{5 \sqrt5}{-2}\\\\= -\frac{11}{2} + \frac{-5 }{2} \sqrt5\\\\[/tex]
[tex]a = - \frac{11}{2} , \ b = -\frac{5}{2}[/tex]
16
[tex]\frac{\sqrt7 + 1 }{\sqrt7 - 1} - \frac{\sqrt7 - 1}{\sqrt7 + 1}\\\\[/tex]
[tex]\frac{(\sqrt 7 + 1 )( \sqrt7 + 1)}{(\sqrt7 - 1 )(\sqrt7 + 1)} - \frac{(\sqrt7 - 1)(\sqrt 7 - 1)}{(\sqrt7 + 1)(\sqrt7 - 1)}[/tex] [tex][ \ LCM \ of \ denominators : (\sqrt7 -1)(\sqrt7 + 1) \ ][/tex]
[tex]\frac{(\sqrt 7 + 1 )^2 -( \sqrt7 - 1)^2}{(\sqrt7)^2 - 1^2}[/tex] [tex][ \ (a \pm b)(a \pm b) = (a \pm b)^2 \ (a-b)(a+b) = a^2 - b^2 \ ][/tex]
[tex]=\frac{(7 + 1 + 2\sqrt7) - ( 7 + 1 - 2\sqrt7)}{7 - 1}\\\\=\frac{8 + 2\sqrt7 - 8 + 2\sqrt7}{6}\\\\= \frac{4 \sqrt7}{6}\\\\= \frac{2 \sqrt 7}{3}[/tex]
Related Questions
Beth filled 72 jars with paint. If each jar holds 1 pint of paint, how many gallons of paint did beth use?
Answers
Answer:
9 gallons were used
Step-by-step explanation:
There are 8 pints to 1 gallon
72 jars holding 1 pint each means 72 pints total
72/8=9
Beth used 9 gallons
P.S. Can I get brainlist
Which of the following show the Associative Property of Addition? 3(6 + 10) = 3 • 6 + 3 • 10 3 – (6 + 10) = (3 – 6) + 10 3 • (6 • 10) = (3 • 6) • 10 3 + (6 + 10) = (3 + 6) + 10
Answers
Answer:
The answer is 47
Step-by-step explanation:
What is 3.99408317124 rounded to the nearest tenth
Answers
Answer:
4
Hope that this helps!
f(x)=4 hallar el dominio, codominio, ceros o raices, vertices, asintotas, tabla de valores, graficas, identificar el tipo de funcion
Answers
Answer:
Tipo de función: Función Constante o Función Polinómica de Orden Cero
Dominio: [tex]Dom \{f(x)\} = \mathbb{R}[/tex]
Codominio: [tex]Ran \{f(x)\} = 4[/tex]
Asíntota: [tex]y = 4[/tex]
Raíces: No tiene.
Vértices: No tiene.
La tabla de valores y el gráfico se encuentran adjuntos al fondo.
Step-by-step explanation:
Sea [tex]f(x) = 4[/tex], el cual representa a una Función Constante o Función Polinómica de Orden Cero, cuyos dominio y codominio son [tex]Dom \{f(x)\} = \mathbb{R}[/tex] y [tex]Ran \{f(x)\} = 4[/tex]. No tiene vértices. Esta función tiene una asíntota horizontal coincidente con la función ([tex]y = 4[/tex]) y carece de raíces al ser [tex]f(x) \ne 0[/tex] para todo [tex]x\in \mathbb{R}[/tex].
Finalmente, agregamos una tabla de valores y la gráfica asociada a la función:
x -2 -1 0 1 2
y 4 4 4 4 4
Determine whether Triangle AWT= UYZ. explain your reasoning
Answers
Answer: The triangles are congruent by the HL theorem
HL = hypotenuse leg
======================================================
Explanation:
Through the segment addition postulate, we can say:
WZ = WT+TZ
YT = TZ+ZY
Notice how both WZ and YT have TZ as part of their segments.
Since WZ and YT are the same length, we can then say,
WZ = YT
WT+TZ = TZ+ZY
WT = ZY
I used substitution for the second step.
The last step is where I subtracted TZ from both sides, and they canceled out.
---------------------
We have the following info:
WT = ZY (just found)AT = UZ (given)angle AWT = angle UYZ (given)Normally, the conclusion from here would be "not enough info" because this is a SSA case. Note how the angles are not between the congruent sides. So we wouldn't use SAS.
However, despite us having SSA, it doesn't mean we can't keep going. The reason why is because we have two right triangles. So we can use the HL theorem instead. Statement 1 above refers to the L of HL, while statement 2 is the H.
HL = hypotenuse leg
Again, HL only works for right triangles. It's the only time we can use SSA to prove right triangles are congruent; otherwise, SSA is not a valid congruence theorem.
Step 4: Calculate the result:
63,756 60
miles / hour
70.5,280
Answers
Answer:
10.35miles/hour
Step-by-step explanation:
(63,756 x 60)/ (70 x 5,280) = (3,825,360/369,600) = 10.35
(Application of division)
Answer:
10.35 mph
Step-by-step explanation:
(63,756 times 60) / (70 times 5280) in calculator is equal to 10.35
please help! ten points! thank you
Answers
If x=10 what is the value of 4(x-2)
A.48
B.32
C.38
D.8
Answers
Answer:
[tex]b. \: \: 32[/tex]
Step-by-step explanation:
[tex]4(x - 2)[/tex]
[tex]4(10 - 2)[/tex]
[tex]4(8)[/tex]
[tex]32[/tex]
Hope it is helpful...The slope of line m is 3/8. Line n is perpendicular to line m. What is the slope of line n?
Answers
Answer:
- [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{8} }[/tex] = - [tex]\frac{8}{3}[/tex]
what is the smallest perimeter of area 12 cm can have?
edit: at cm there should have been a small 2 at the top but I forgot just pretend it's there pls.
Answers
Answer:
14
Step-by-step explanation:
area = lb
4*3 or 6*2 or 1*12
perimeter= 14,16,26
A population of bacteria can be modeled by the function f(t) = 1000(0,98)", where t represents
the time since the population started decaying, and f (t) represents the population of the
remaining bacteria at time t. What is the rate of decay for this population?
Answers
Answer:
Decay rate of 2%
Step-by-step explanation:
Since there is no information about the units for time, merely stating that the decay rate is 2% will suffice. The decay rate for when r < 1 is found by finding 1-r, so the rate of decay is .02, or 2%.
Please answer and explain
Answers
Answer: It is a 3% chance
Pls I need help with this
Answers
Answer:
third side = 6
Step-by-step explanation:
third side is hypotenuse as it is opposite to 90 degree
using pythagoras theorem
(perpendicular)^2 + (base)^2 = (hypotense)^2
5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2
25 + 11 = hypotenuse^2
36 = hypotenuse^2
[tex]\sqrt{36}[/tex] = hypotenuse
6 = hypotenuse
100 POINTS!!!! I do not understand what so do here!!!!
Answers
Answer:
[tex]\angle LMK\sim \triangle KMJ \sim \triangle LKJ[/tex]
Step-by-step explanation:
In the right triangle shown, two right triangles are inscribed in a third right triangle, with all three triangles sharing an altitude. Thus, all three right triangles are similar.
The second portion asks to draw them so that their corresponding sides and angles have the same orientation. I can't demonstrate that here but here are some tips:
Draw them so that it is clear that they are similarMake sure that their corresponding sides match upWhen writing your similarity statement, the order of which you list the triangles' vertices should be maintained, e.g. [tex]\angle LMK\sim \triangle KMJ \sim \triangle LKJ[/tex]Here is an example of the drawing portion from the CK-12 Foundation:
Answer:
Solution given:
In triangle LMK and triangle LKJ
<LMK=<JMK[ being right angle]
<MLK=<JLK[common angle]
<MKL=<LJK[remaining angle]
so
∆MLK~ ∆MLJ[By A.A.A.axiom]
∆MLK is similar to ∆MLJ
Tony sold t-shirts and hats at the festival. He made a $4 profit for each t-shirt he sold. He also made a profit of $34 from selling hats. If he made a total profit of $106, how many t-shirts did he sell?
Answers
Answer:
18 T-shirts
Step-by-step explanation:
$4×18= $72 $72+$34=$106
106 - 34 = 72
72 / 4 = 18
4) Given that the polynomial p(x) = 2x4 - 3x2 + 6x + k.
Find the value of k if (x - 1) is a factor of p(x).
{ANS: k = -5)
Answers
Answer:
k = - 5
Step-by-step explanation:
Given that (x - 1) is a factor of p(x) then p(1) = 0, that is
2 - 3 + 6 + k = 0
5 + k = 0 ( subtract 5 from both sides )
k = - 5
Which of the following statements contain a variable? Check all that apply.
A. The amount of time you ran on the track.
B. How high you can jump.
C. The time school starts.
D. The temperature outside is 31 degrees.
Answers
Solve the given portion x/4 3/6
Answers
[tex]\sf\purple{x\:=\:2}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{x}{4} = \frac{3}{6} \\ \\ ➪ \: x = \frac{1 \times 4}{2} \\ \\ ➪ \: x = \frac{4}{2} \\ \\ ➪ \: x = 2[/tex]
Therefore, the value of [tex]x[/tex] is 2.
[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]
[tex] \frac{x}{4} = \frac{3}{6} \\ \\➪ \: \frac{2}{4} = \frac{3}{6} \\ \\ ➪ \: \frac{1}{2} = \frac{1}{2} \\ \\➪ \: L.H.S.=R. H. S [/tex]
Hence verified. ✔
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Can someone please help ?!thank you !
Answers
Answer:
72
Step-by-step explanation:
67+5= 72
Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more figurines left to paint. The number fff of figurines left to paint is a function of ttt, the amount of time in minutes Colin spends painting.
Answers
Answer:
[tex]f(t) =-\frac{1}{20} t + 12[/tex]
Step-by-step explanation:
Given
[tex]t \to time[/tex]
[tex]f \to figurines[/tex]
Required
Determine the function
From the question, we have:
[tex]60\ minutes \to 9\ left[/tex]
This is represented as:
[tex]f(60) = 9[/tex] or [tex](60,9)[/tex]
If he spends 20 minutes on 1 figurine;
[tex]20\ minutes = 1\ figurine[/tex]
Multiply both sides by 3
[tex]60\ minutes = 3\ figurines[/tex]
This means that, he spends 60 minutes on 3
plus he still has 9 left
So, the initial figurines is:
[tex]f(0) =3 + 9[/tex]
[tex]f(0) =12[/tex] or [tex](0,12)[/tex]
So, we have:
[tex](60,9)[/tex] and [tex](0,12)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{12- 9}{0 -60}[/tex]
[tex]m = \frac{3}{ -60}[/tex]
[tex]m = -\frac{1}{20}[/tex]
The equation is then calculated as;
[tex]f(t) = m * t + c[/tex]
[tex]f(t) = -\frac{1}{20} * t + c[/tex]
[tex]f(t) = -\frac{1}{20}t + c[/tex]
To solve for c, we have:
[tex]f(60) = 9[/tex]
So, we have:
[tex]9 = -\frac{1}{20} * 60 + c[/tex]
[tex]9 = -3 + c[/tex]
Add 3 toboth sides
[tex]c =12[/tex]
Hence, the equation is:
[tex]f(t) =-\frac{1}{20} t + c[/tex]
[tex]f(t) =-\frac{1}{20} t + 12[/tex]
Answer:
f=-1/20t+12
Step-by-step explanation:
khan
A family that is known to have two children is selected at random
from amongst all families with two children. Find the probability that
both children are boys, given that there is a boy in this family. Please help me solve this problem.
Answers
Answer: one outta a mil
Step-by-step explanation:
what is 3x² - 6x over x-2 simplified?
Answers
Answer:
3x
Step-by-step explanation:
3x^2 - 6x / x - 2
3x(x - 2) / x-2
cancels out
3x
3x^2-6x/x-2
3x(x-2)/x-2
=3x
[tex]50.705 \div 2.646[/tex]
Answers
Answer:
19.1628873772
Step-by-step explanation:
50.70500 ÷ 2.64600 = 19.1628873772
No files just type it in please I been stuck in this answer
Answers
Answer:
24
Step-by-step explanation:
ate 4 pounds 6 times because monday, tuesday, wednesday, thursday, friday, saturday.
therefore 4x6= 24
what is the correct answer
Answers
Answer:
D. 2√2
Step-by-step explanation:
In a 45° 45° 90° triangle, the hypotenuse is the leg length multiplied by √2. So divide by √2 to find x.
x = 4/√2 = 2√2
Need help with this math urgently
Answers
Answer:
(2,5)
Step-by-step explanation:
y= 4x-3
y=-2x+9
-------------------------
4x-3=-2x+9
6x-3=9
6x=12
x=2
-----------------
y = 4(2)-3
y =8 -3
y=5
(2,5)
Answer:
1st box: 6x - 3 = 9
2nd box: 6x = 12
3rd box: x = 2
4th box: y = 4(2) - 3
5th box: y = 8 - 3
6th box: y = 5
Step-by-step explanation:
Part A-
1) 4x-3 = -2x+9
2) 4x+2x -3 = -2x+2x + 9
3) 6x -3 = 9
4) 6x -3+3 = 9+3
5) 6x = 12
6) 6x/6 = 12/6
7) x = 2
Part B-
1) y=4x-3
2) y=4(2)-3
3) y=8-3
4) y= 5
Therefore, x = 2 and y = 5.
Uh, I think I did this one… good luck ;p
Let g(x) = 2x and h(x) = x^2 +4 evaluate (h*g)(-2)
Answers
Answer:
-32
Step-by-step explanation:
Firstly, what we have to do is to multiply g(x) by h(x)
We have this as;
2x(x^2 + 4)
We then proceed to substitute the value of x with -2 as follows
2(-2)(-2^2 + 4)
= -4(8) = -32
The area of a opening rectangular window is to be 440 square centimeters. If the length measures x centimeters and the width measures x-2 centimeters, what are the dimensions?
Answers
Answer:
[tex]L=1+20i[/tex]
[tex]B=3+20i[/tex]
Step-by-step explanation:
From the question we are told that:
Area [tex]A=440cm^2[/tex]
Generally the equation for For Area is mathematically given by
[tex]A=L*B[/tex]
[tex]A=x*(x-2)[/tex]
Therefore
[tex]x^2-2x-440=0[/tex]
[tex]x=1+20i[/tex]
Therefore The Dimensions are
[tex]L=1+20i[/tex]
[tex]B=1+20i+2[/tex]
[tex]B=3+20i[/tex]
Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section.
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.
Please explain in detail, I am confused
Answers
Answer:
read the comments i cant help you yet but if you read the comments and do what they say then i can help you
Step-by-step explanation:
5.
Peter earns $9 each hour for the first 40 hours he works each week. For every hour he
works after 40 hours, he earns $12 each hour. Last week Peter earned $444.
Which equation could be used to find the number of hours, h, during which Peter
earned $12 last week?
A. (40 x 9) + h = 444
B. (40 x 9) - h = 444
C. (40 x 9) + 12h = 444
D. (40 x 9) - 12h = 444
Answers
444-360 = 84
84 /12= 7
The answer is C
