Answers
Answers:
10.) [tex]\displaystyle \pm{5}[/tex]
9.) [tex]\displaystyle 1\frac{1}{2}[/tex]
8.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]
7.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]
6.) [tex]\displaystyle \pm{\frac{1}{2}}[/tex]
Step-by-step explanations:
10.) [tex]\displaystyle \frac{\sqrt{200}}{\sqrt{8}} \hookrightarrow \sqrt{25} \hookrightarrow \frac{\pm{10\sqrt{2}}}{\pm{2\sqrt{2}}} \\ \\ \boxed{\pm{5}}[/tex]
9.) [tex]\displaystyle \frac{\sqrt[3]{135}}{\sqrt[3]{40}} \hookrightarrow \sqrt[3]{3\frac{3}{8}} \hookrightarrow \frac{3\sqrt[3]{5}}{2\sqrt[3]{5}} \\ \\ \boxed{1\frac{1}{2}}[/tex]
8.) [tex]\displaystyle \frac{\sqrt[4]{162}}{\sqrt[4]{32}} \hookrightarrow \sqrt[4]{5\frac{1}{16}} \hookrightarrow \frac{\pm{3\sqrt[4]{2}}}{\pm{2\sqrt[4]{2}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]
7.) [tex]\displaystyle \frac{\sqrt{63}}{\sqrt{28}} \hookrightarrow \sqrt{2\frac{1}{4}} \hookrightarrow \frac{\pm{3\sqrt{7}}}{\pm{2\sqrt{7}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]
6.) [tex]\displaystyle \frac{\sqrt{12}}{\sqrt{48}} \hookrightarrow \sqrt{\frac{1}{4}} \hookrightarrow \frac{\pm{2\sqrt{3}}}{\pm{4\sqrt{3}}} \\ \\ \boxed{\pm{\frac{1}{2}}}[/tex]
I am joyous to assist you at any time.
Related Questions
I think of a number multiply it by 2, subtract 3 and multiply by 4
Answers
Step-by-step explanation:
(2x - 3)×4
random number multiplied by 2, then minus 3 from that result, and multiply that result by 4.
what is 60 divided by 4?
Answers
Answer:
The answer is 15
Step-by-step explanation:
can someone help me with this ?
Answers
Answer:
yes I can help you with this but I don't know it
Constants are numbers without letters attached.
What is the constant in the equation x/2 - 3?
answers:
2
-3
Answers
Answer:
constant = - 3
Step-by-step explanation:
[tex]\frac{x}{2}[/tex] - 3 = [tex]\frac{1}{2}[/tex] x - 3
the number without letters attached is the constant - 3
Answer:
-3
Step-by-step explanation:
The answer is -3 because 2 has a letter attached to it which is x/2 -3 is without a letter.
hope dis helps):
Solve the equation k^2-6k=11 by completing the square
Answers
Answer:
k = ±2√5 + 3
Step-by-step explanation:
k² - 6k + 9 = 11 + 9(k - 3)² = 20k - 3 = √20k - 3 = ±2√5k = ±2√5 + 3[tex]k=3+2\sqrt5\ or\ k=3-2\sqrt5[/tex]
Step-by-step explanation:
[tex]k^2-6k=11[/tex]
_______________________________________________
Add one term in order to complete the square[tex]k^2-6k+(6\times\frac{1}{2})^2=11+(6\times\frac{1}{2})^2[/tex]
________________________________________________
Calculate[tex]k^2-6k+3^2=11+3^2[/tex]
_________________________________________________
Factor the expression using [tex]a^2\pm 2ab+b^2=(a\pm b)^2[/tex][tex](k-3)^2=11+3^2[/tex]
__________________________________________________
Calculate the power[tex](k-3)^2=11+9[/tex]
___________________________________________________
Calculate the sum or difference[tex](k-3)^2=20[/tex]
______________________________________________________
Split into two equations[tex]k-3=\sqrt{20}\ or\ k-3=-\sqrt{20}[/tex]
________________________________________________________
Move variables to the left side of the equation:[tex](k-3=\sqrt{20})[/tex]
[tex]k=\sqrt{20}+3\\ k=2\sqrt{5}+3[/tex]
____________________________________________________
Move variables to the left side of the equation:[tex](k-3=-\sqrt{20})[/tex]
[tex]k=\sqrt{20}+3\\ k=-2\sqrt{5}+3[/tex]
_____________________________________________________
So far:[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]
_____________________________________________________
Find the union of the solutions[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]
_____________________________________________________
I hope this helps you
:)
(PLS HELP QUICK POINTS)
A soda can holds 235.5 in^3 of liquid. If the cab is 5 inches tall, what is the distance across the top of the soda can.
Answers
Answer:
Step-by-step explanation:
To make a guess as to the volume, it may be easier to guess in cups rather than centimeters or inches. One may visualize that a 12 ounce soda can is about 1.5 cups. This is equivalent to 354.88 cubic centimeters or 21.656 cubic inches.
Solve 7x -4 = 5x + 15 for x.
19/12
11/2
19/2
Answers
Answer:
Third option
Step-by-step explanation:
Given the following question:
[tex]7x-4=5x+15[/tex]
To find the answer we need to use inverse of operations to simplify the equation in till we isolate the variable and find the value of x.
[tex]7x-4=5x+15[/tex]
[tex]-4+4=0[/tex]
[tex]15+4=19[/tex]
[tex]7x=5x+19[/tex]
[tex]5x-5x=0[/tex]
[tex]7x-5x=2x[/tex]
[tex]2x=19[/tex]
[tex]2x\div2=x[/tex]
[tex]19\div2=\frac{19}{2}[/tex]
[tex]=\frac{19}{2}[/tex]
Your answer is the third option or "19/2."
Hope this helps.
find the value of x in the triangle shown below
Answers
Answer:
D
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of thesquares on the other two sides, that is
x² + 8² = 9²
x² + 64 = 81 ( subtract 64 from both sides )
x² = 17 ( take square root of both sides )
x = [tex]\sqrt{17}[/tex]
Answer:
√17 (Option D)⠀
Step-by-step explanation:
This is Right Angled Triangle.⠀
We'll solve this using the Pythagorean Theorem.
⠀
Let,
x be BC, where BC is the Perpendicular.8 be AB, where AB is the Base.9 be AC, where AC is the Hypotenuse.⠀
We know that,
[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} +( BC) {}^{2} = (AC) {}^{2} }}[/tex]
[tex]{ \longrightarrow \sf \qquad \: (8) {}^{2} +( x) {}^{2} = (9) {}^{2} } [/tex]
[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = (9) {}^{2} - (8) {}^{2}} [/tex]
[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 81 - 64} [/tex]
[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 17} [/tex]
[tex]{ \longrightarrow \it \qquad \pmb {x = \sqrt{17 \: \: } } }[/tex]
⠀
Therefore,
The value of x is √17 .Select all ordered pairs that could be added to this relationship and keep it a function:
(-2, -5) (0, -1) (1, 1) (4, 7)
Answers
Answer:
that's 4 and 7 .............
17. Billy purchased 100 shirts at a cost of $15 each and planned to resell them. The first
week he sold some of them for $25 each. The second week he sold the rest for $20 each.
If his total profit was $600, how many shirts did he sell the first week?
Answers
Answer:
2100
Step-by-step explanation:
Which point on the number line is at 58/100
Answers
Answer:
R
Step-by-step explanation:
If you count the tiks by 10 instead of ones, Q is less than 50, and S and T are both larger than 60. Therefore, R is the only possible answer.
Hope this helped <3 Brainliest please :)
2/5 10+36-6 ................... HELP PLEASE
Answers
Answer:
if it is just the 10+36-6 then that is 40 but then if it is 2/5 10+36-6 then that would be 16
Step-by-step explanation:
add 10 and 36 which is 46 then subtract 6 which is 40 then get the 2/5 which would be 16 hope this helps you
Sherlene bought 3 pounds of coffee and 2 pounds of chocolate for a total of $24. Which equation, written in standard form, correctly represents this scenario and correctly indicates what the variables represent? A) The correct equation is 3x + 2y = 24, where x is the price per pound of coffee and y is the price per pound of chocolate. B) The correct equation is 5x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. C) The correct equation is 3x + 2x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. D) The correct equation is 3x + 2y = 24, where x is the price per pound of chocolate and y is the price per pound of coffee.
Answers
A stained glass window has the dimensions shown. What is the perimeter of the hole that should be cut in the wall in order for the window to be installed?
Answers
Answer: She observed older fossils that contained many of the same minerals as the newer ones
Step-by-step explanation:
Answer:
chaupapi
\\
Step-by-step explanation:
help me!!!!Determine the value of each car after 5 years.
Answers
A pizza box is 20 inches wide, 18 inches long, and 2 inches tall.
How many square inches of cardboard were used to create the box?
Answers
Answer:
872 square in.
Step-by-step explanation:
The formula for the surface area of a rectangular prism is:
[tex]A=2(wl*wh*lh)[/tex]
Where w is the width of the prism, l s the length of the prism, h is the height of the prism, and A is the surface area.
Plugging in the numbers given, you get the following equation:
[tex]A=2((20*18)*(20*2)*(18*2))[/tex]
Which when calculated out, is 872 square in.
What is the total cost of a new car that has a price of $24,000 and a sales tax rate of 9%?
Answers
Answer:
26,160.00
Step-by-step explanation:
24,000 + 9% = 26,160.00
Have a wonderful day! Dream a good dream of good people. :)
Answer:
The answer is
→ $26,160
Step-by-step explanation:
In this problem, it says that the total cost of the new car is the price of $24,000 plus a sales tax of 9%. For the problem, it's obvious to use addition, because when you buy something, most of the time they add taxes.
So,
24,000
+ 9%
‾‾‾‾‾‾‾‾‾‾
26,160
Therefore, 26,160 is the correct answer for your problem.
Calculate the capacitance between two parallel plates of area s and separation of d
Answers
The capacitance between two parallel plates of area s and separation of d is;
[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]
What is capacitance?Capacitance is the limitation of the body to store the electric charge. Every capacitor has its capacitance.
The typical parallel-plate capacitor consists of two metallic plates of area s, separated by the distance d.
The capacitance between two parallel plates of area s and separation of d is given by the following formula;
[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]
The capacitance of a parallel plate capacitor depends on the area of the plates s and their separation d.
According to Gauss's law, the electric field between the two plates is: Since the capacitance is defined by one can see that capacitance is: Thus you get the most capacitance when the plates are large and close together.
To know more about capacitance click the link given below.
https://brainly.com/question/14746225
#SPJ4
1. A wooden box is to be built so that it measures 156 cm by 122 cm by 95 cm.
How much plywood will it take to build the garbage bin?
Answers
The amount of plywood needed to build the garbage bin is the surface area. Therefore, the amount of plywood needed is 90884 cm².
How to find the surface area of a rectangular prismThe wooden box is a rectangular prism. The amount of plywood used to construct the wooden box is the surface area of the box.
Therefore,
surface area of rectangular prism = 2(lw + lh + hw)
where
l = lengthw = widthh = heightl = 156 cm
w = 122 cm
h = 95 cm
surface area of rectangular prism = 2((156 × 122) + (156 × 95) + (122 × 95))
surface area of rectangular prism = 2(19032 + 14820 + 11590)
surface area of rectangular prism = 2(45442)
surface area of rectangular prism = 90884 cm²
learn more on surface area here:https://brainly.com/question/27161212
A skydiver in a computer game free-falls from a height of 3000 meters at a
rate of 55 meters per second. Which equation can be used to find the
height of the skydiver after tseconds?
Answers
Find the roots of the factored polynomial. (x–3)(x–9) Write your answer as a list of values separated by commas.
Answers
x^2 - 9x - 3x + 27
x^2 - 12x + 27
NO LINKS. Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?
Answers
Answer: Altitude
Step-by-step explanation:
Four Friends pay £12 each to hire a hole for a band practice how much Wood 12 friends pay each to hire the same hall
Answers
Answer:
4 dollars per friend
Step-by-step explanation:
So, if 4 friends are paying 12 dollars, to find the total, we do 4 * 12 = 48
48 is how much the 4 friends paid
If 12 friends pay to hire the same group, (resemble for the same price of 48 dollars), is we do, 48 dollars ÷ 12 friends = 4 dollars per friend
The airplane flew 4,848 miles in 8 hours. How many miles per hour did it fly?
Answers
Answer:
606 MPH
Step-by-step explanation:
4848/8=606
Answer:
606 mph
Step-by-step explanation:
i did 4848 divided by 8
find the value of x in the triangle shown below
Answers
the answer is c (x=15)...
[tex]\large\bold\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]
[tex]\\ \large \rm{↠Given \: triangle \: is \: right \: angled \: triangle .}[/tex][tex]\\\rm{Pythagorean \: Theorem \: states \: that} \\ \\ \large \rm{↠Hypotenuse = \sqrt {Altitude^{2} + Base ^{2} } } [/tex]
[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]
Here,
Hypotenuse = AC ( x )Altitude = AB ( 12 )Base = BC ( 9 )[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]
[tex]\rm{↠Substituting \: values }[/tex]
[tex] \large\rm{↠AC= \sqrt {AB^{2} + BC ^{2} } } \\ \\ \large\rm{↠x = \sqrt{12 ^{2} + 9 ^{2} } } \\ \\ \large\rm{↠x = \sqrt{144 + 81} } \\ \\ \large\rm{↠x = \sqrt{225} } \\ \\ \large\rm{↠x =15 }[/tex]
Option C ✓[tex] \underline{\rule{100mm}{3.2pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
Maria wants to determine which students is favored for president of the student council. Which of the following samples are biased and not freedom? Select all that apply.
O Surveying the boys in the freshman class.
O Surveying every other student in the cafeteria.
O Surveying all the students in her math class.
O Surveying 20 students from each grade at random.
O Surveying the students in the chess club.
Answers
-Surveying every other student in the cafeteria would be biased IF only a certain grade was in there at a certain time. If every student was in the cafeteria at the same time, it would be non biased.
-Students in her math class is biased- it only considers those in a certain class, not everyone.
-20 from each grade at random is NOT biased, it considers every grade and 20 random students.
-Chess club is biased. Only students in one particular group get to answer. Hope this helps!
Answer:
A, C, E,
Step-by-step explanation:
A)Surveying the boys in the freshman class.
C)Surveying all the students in her math class.
E)Surveying the students in the chess club.
In 2010 Elmbrook Middle School had 100 students in the eighth grade. In 2011 the number of eighth
graders decreased by 10%. The 2012 eighth grade Class increased in size by 10% from 2011. How many
eighth grade students were enrolled at Elmbrook Middle School in 2011
Answers
Answer:
90 students
Step-by-step explanation:
So, if you have 100 students to start and it decreases by 10% then take the 100 and multiply it by .10. You should get 10. Then, subtract 10 from 100 and you end up with 90.
Answer:
hello
2010 = 100 students
2011 = 100 x 0.9 = 90
2012 = 90 x 1.1 = 99
Step-by-step explanation:
Find the area of the circle
Answers
Step-by-step explanation:
78.50 in^2 I am pretty sure
Answer:
78.50 in squared
Step-by-step explanation:
To find the area of a circle, you need to use the equation area = pi * r^2, or pie multiplied by the radius squared. The radius is half of the diameter, which means the radius is 5. 5 squared is 25. Pi times 5 is about 78.50 inches squared.
Help please I would appreciate
Answers
Answer:
66 (no other answer)
Step-by-step explanation:
The number can be divided by 2 so its even. Its a multiple of 11. It is between 20 and 79. it is a multiple of 3.
What is the mean absolute deviation of Madison's exercise times?
Madison's
Exercise Times
20
25
35
40
55
Answers
Answer:
5
Step-by-step explanation:
Answer:
The mean absolute deviation would be 10.
Step-by-step explanation:
I calculated the answer in Microsoft excel. I used a bunch of excel formulas. I do not know how to insert some of the math symbols neccessary to show you my steps. Here is a picture of the formula.