The simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.
What is the simplified form of an equation?The simplified form of an equation is the simplest way of expressing the equation, by applying the required operations of mathematics.
The equation provided in the problem is,
[tex]2\sqrt{18}+3\sqrt{2}+\sqrt{162}[/tex]
Let the simplified form of the above expression is n. Thus,
[tex]n=2\sqrt{18}+3\sqrt{2}+\sqrt{162}[/tex]
Rewrite the equation to solve it further as,
[tex]n=2\sqrt{3\times3\times2}+3\sqrt{2}+\sqrt{9\times9\times2}\\n=2\sqrt{3^2\times2}+3\sqrt{2}+\sqrt{9^2\times2}[/tex]
The square of the term cancel out the square root of it. Thus,
[tex]n=2\times3\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=6\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=(6+3+9)\sqrt{2}\\n=18\sqrt{2}[/tex]
Thus, the simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.
Learn more about the simplified form here;
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A rectangular field is 120 meters long and 85 meters wide.
Give the length and width of another rectangular field that has the same perimeter but a smaller area.
Answer:
Length: 200
Width: 5
Step-by-step explanation:
The perimeter of 120 and 85 is 410
The perimeter of 200 and 5 is 410
The area of 200 and 5 is 200 times 5 which is 1000
The area of 120 and 85 is 120 times 85 is 10200
-I hope this helps
Determine the ratio of the note B to middle C.
a. 1.8877
b. 1.7983
C. 1.9348
d. 1.3654
Answer:
To determine the ratio of the note B to middle C, we need to find the frequency of note B and then divide it by the frequency of middle C.
The frequency of note B is 493.9 Hz, and the frequency of middle C is 261.6 Hz.
Therefore, the ratio of the frequency of note B to middle C is:
493.9 / 261.6 = 1.8877
So the answer is (A) 1.8877
Kurt drove to his college after summer break
The graph shows the distance he traveled during his drive,
Distance Kurt
Traveled
100
y
(1.5,75)
75+
Use the drop-down menus to complete the statements based on the graph.
Distance (miles)
50+
25+
0
Time (hours)
CLEAR
The labeled point means in
hours, Kurt traveled
miles.
In 1 hour, Kurt traveled
miles.
His distance changed at a unit rate of
miles per hour, so Kurt's speed was
miles per hour.
If Kurt had driven more slowly, the slope of the graph would be
Answer:
1.5 hours; 75 miles50 miles50 miles per hour; 50 miles per hourless/decreased/reduced/smallerStep-by-step explanation:
The labels on the axes of the graph tell you the meaning of the coordinates of a point on the graph. The ordered pair lists the horizontal coordinate first. The horizontal axis is labeled hours, and the vertical axis is labeled miles.
The point (hours, miles) = (1.5, 75) means Kurt drove 75 miles in 1.5 hours.
__
You can find the miles driven in 1 hour by reading the graph at the horizontal coordinate 1 hour. You find that is 50 miles. The 1 represents 1 unit, so the "unit rate" is 50 miles in 1 hour. Such a rate is also called a "speed" of 50 miles per hour.
If Kurt had driven fewer miles in an hour, the points on the graph would all have smaller vertical coordinates. The unit rate (slope) would be less than 50 miles per hour.
Evaluate the function graphically.
Find f(3)
what numbers can you make ?
Answer:
196
Step-by-step explanation:
Solve the equation
8 - (x - 2) = 2x + (10 - 3x)
a. x= 10
b. x= -10
c. infinitely many solutions
d. no solution
Answer:
Step-by-step explanation:
8-(x-2)=2x+(10-3x)
We move all terms to the left:
8-(x-2)-(2x+(10-3x))=0
We add all the numbers together, and all the variables
-(x-2)-(2x+(-3x+10))+8=0
We get rid of parentheses
-x-(2x+(-3x+10))+2+8=0
We calculate terms in parentheses: -(2x+(-3x+10)), so:
2x+(-3x+10)
We get rid of parentheses
2x-3x+10
We add all the numbers together, and all the variables
-1x+10
Back to the equation:
-(-1x+10)
We add all the numbers together, and all the variables
-1x-(-1x+10)+10=0
We get rid of parentheses
-1x+1x-10+10=0
We add all the numbers together, and all the variables
=0
x=0/1
x=0
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{8 - (x - 2) = 2x + (10 - 3x)}\\\mathsf{\rightarrow 8 - x - 2 = 2x + 10 - 3x}\\\mathsf{\rightarrow 6 - x = 5x + 10}\\\mathsf{\rightarrow 6 - 1x = 5x + 10}\\\mathsf{\rightarrow -x + 10 = -x + 10}\\\large\text{ADD the value of x to BOTH SIDES}\\\mathsf{\rightarrow -x + 10 + x = -x + 10 + x}\\\large\text{SIMPLIFY IT!}\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\mathsf{\rightarrow 10 - 10 = 10 - 10}\\\large\text{SIMPLIFY IT!}\\\mathsf{0 = 0}\\\huge\textsf{Answer: Option C. infinitely many solutions}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]i need help with 7 and 8 explanations and show work for solving?
Answer:
ang ganda noh
Step-by-step explanation:
sorry di ko po alam yung sagot
xº
50°
What is the value of x?
Answer:
65
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
one of the angle is given as 50 degrees so:
50 + x + x = 180
50 + 2x = 180 subtract 50 from both sides
2x = 130 divide both sides by 2
x = 65
2/5 10+36-6 ................... HELP PLEASE
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
Given a circle with a radius of 7 inches and a central angle of 140°, find the area of the sector.
Answer: 343pi/18
Step-by-step explanation:
Owen went shopping for a new pair of sneakers because of a sale. The price on the tag was $32, but Owen paid $16 before tax. Find the percent discount.
Answer:
50% discount
Step-by-step explanation:
Given the following question:
50% of 32
To find the answer we will use the formula to calculate percentages, and then solve by subtracting the answer from the initial cost of the sneakers.
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{50\times32}{100}[/tex]
[tex]50\times32=1600[/tex]
[tex]1600\div100=16[/tex]
[tex]=16[/tex]
Or...
[tex]32\div2=16[/tex]
[tex]=16[/tex]
50% of 32 is 16 which means the shoes has a "50% discount."
Hope this helps.
Simplify and write in scientific notation (5.6 * 10 ^ 5)/(1.4 * 10 ^ - 2)
Answer:
4.0x10^7
Step-by-step explanation:
5.6÷1.4=4
10^(5-(-2))
=10^7
=4.0x10^7
pls help
Triangle MNP with the vertices M(-6,-8) M(-1,-6) and P(-2,-8) in the line y= -5
Triangle MNP with the vertices M(-6,-8) N(-1,-6) and P(-2,-8) is reflected across the line y= -5 to give M'(-6, -2), N'(-1, -4) and P'(-2, -2)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Triangle MNP with the vertices M(-6,-8) N(-1,-6) and P(-2,-8) is reflected across the line y= -5 to give M'(-6, -2), N'(-1, -4) and P'(-2, -2)
Find out more on transformation at: https://brainly.com/question/4057530
a small movie theater sells children's tickets for $4 each and adult tickets for $10 each for an animated movie. The theater sells a total of $338 in ticket sales.
(c) show that after multiplying both sides of the equation in (a) by 2, c=52 and a=18 is still a solution to this equation.
Equation: 4c+10a=388
Answer:
Proved below!
Step-by-step explanation:
Start by multiplying both sides by 2 (as said in the question):
[tex]\implies 4c + 10a = 388[/tex]
[tex]\implies 2(4c + 10a) = 2(388)[/tex]
[tex]\implies 8c + 20a = 776[/tex]
Substitute the solution(s) in the equation:
[tex]\implies 8(52) + 20(18) = 776[/tex] (c = 52; a = 18)
[tex]\implies 416 + 360 = 776[/tex]
[tex]\implies \bold{776 = 776 \ \ \ (Proved)}[/tex]
Answer:
Let c = number of children's tickets sold
Let a = number of adults tickets sold
Given:
Cost of child ticket = $4Cost of adult ticket = $10Total ticket sales = $388⇒ 4c + 10a = 388
Multiply both sides of the equation by 2:
⇒ 2(4c + 10a) = 2 × 388
⇒ 8c + 20a = 776
If c = 52 and a = 18, substitute these values into the equation and solve:
⇒ 8(52) + 20(18)
⇒ 416 + 260
⇒ 776
As 776 = 776, this proves that c = 52 and a = 18 is a solution to this equation.
I would really like help with A & B
Check the picture below.
Make sure your calculator is in Degree mode.
An equilateral triangle with side lengths equal to 12 StartRoot 3 EndRoot units is inscribed in a circle. Half a side length of the equilateral triangle is 6 StartRoot 3 EndRoot units, so the apothem is units long and the radius of the circle is units long. Each segment of the circle has an area equal to the difference between the areas of the sector and triangle, or ( π − StartRoot 3 EndRoot) units2.
The apothem (x) is 11.62 units, the radius of the circle is 12 units, and the area of each segment is 48π − 23.25√3 square units.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
An equilateral triangle with side lengths equal to 12√3 units is inscribed in a circle.
And half a side length of the equilateral triangle is 6√3 units.
The apothem (x) is units long and the radius of the circle will be
x² = (9√3)² - (6√3)²
x² = 243 - 108
x² = 135
x = 11.62
And the radius of the circle will be
[tex]\begin{aligned} \cos 30 &= \dfrac{6\sqrt3}{r}\\\\\dfrac{\sqrt3}{2}&= \dfrac{6\sqrt3}{r}\\\\r &= 12 \end{aligned}[/tex]
Each segment of the circle has an area that will be
Area = the difference between the areas of the sector and triangle
Area = the areas of the sector - the areas of the triangle
The area of the sector will be
[tex]\rm Sector's \ area= \dfrac{120}{360} \pi *12^2 \\\\Sector's \ area= 48\pi[/tex]
The area of the triangle will be
[tex]\rm Triangle's \ area = \dfrac{1}{2*3} * 11.62 * 12\sqrt3\\\\Triangle's \ area = 23.25\sqrt3[/tex]
Then the area of each segment will be
Segment area = 48π − 23.25√3
More about the circle link is given below.
https://brainly.com/question/11833983
Answer:
1. 6
2. 12
3. 48
4. 36
Step-by-step explanation:
need help will give the brainlest
Answer:
should be 4L
Step-by-step explanation:
there is 4 cups with 1L of water in them so you add them up to get the total amount .
Answer:
4 Liters
Step-by-step explanation:
1. Create Equation
1L+1L+1L+1L
2. Solve
1L+1L+1L+1L
1+1+1+1
2+1+1
2+2
4
3. Check
1+1+1+1=4
2+2=4
4=4
Correct
4. Answer
4L
check please :D
12345678901234567890
Answer: All but one was right
1. 0 (correct)
2. 34 (correct)
3. 398 (correct)
4. -350 (correct)
5. 20 (correct)
6. 200 (wrong)
7. 48 (correct)
8. -1000(correct)
9. 150 (correct)
10. -55 (correct)
Step-by-step explanation:
(2x5)x(9÷3)+4=10x3+4=30+4=34
4(25x8÷2)+3-5=4(200÷2)+3-5=4x100+3-5=400+3-5=403-5=398
-10x20-30(5)=-200-150=-350
5x10-30=50-30=20
4(50-20÷4)+20=4(50-5)+20=4x45+20=180+20=200
3x4(20÷5)=12x4=48
-20(50x2)+5(200)=-20x100+5x200= -2000+1000=-1000
20x5+70-20=100+70-20=170-20=150
-5+10x(-5)==5+-50=-55
Answer:
1. 0
2. 34
3. 398
4. -350
5. 20
6. 200
7. 48
8. -1000
9. 150
10. -55
Step-by-step explanation:
-2 + 5 - 3
3 - 3 = 0
----------------
2 × 5(9 ÷ 3) + 4
2 × 5(3) + 4
2 × 15 + 4
30 + 4 = 34
------------------
4(25 × 8 ÷ 2) + 3 - 5
4(200 ÷ 2) + 3 - 5
4(100) + 3 - 5
400 + 3 - 5
403 - 5 = 398
------------------
-10 × 20 - 30(5)
-200 - 150 = -350
-----------------
5 × 10 - 30
50 - 30 = 20
----------------
4(50 - 20 ÷ 4) + 20
4(50 - 5) + 20
4(45) + 20
180 + 20 = 200
--------------------
3 × 4(20 ÷ 5)
3 × 4(4)
3 × 16 = 48
----------------
-20(50 × 2) + 5(200)
-20(100) + 1000
-2000 + 1000 = -1000
----------------
20(5) + 70 - 20
100 + 70 - 20
170 - 20 = 150
----------------
-5 + 10(-5)
-5 + -50 = -55
------------------------
The only one I see wrong is "4(50 - 20 ÷ 4) + 20"
I hope this helps!
Factor completely.
x2 - 10x + 24
Answer:
[tex]\boxed{\sf{(x-4)(x-6)}}[/tex]
Step-by-step explanation:
In order to solve this problem, all you have to do is multiply their expressions by their factors.
To begin, you must group these expressions.
[tex]\sf{x^2-10x+24=\left(x^2-4x\right)+\left(-6x+24\right)}[/tex]
After that, you factor.
Solve.
[tex]\sf{x^2-4=x(x-4)}[/tex]
-6x+24=-6(x-4)
Then rewrite the problem down.
x(x-4)-6(x-4)
Factor by the common term.
(x-4)(x-6)
Therefore, the final answer is (x-4)(x-6).
I hope this helps you! Let me know if my answer is wrong or not.
Help please this is complicated
Answer:
2=29
3=x?
kris kross
2x=3×29
2x=87
divide both sides by two
x=43.5
and
3=43.5
so find by this method
Part A
Find the website for your state’s department of motor vehicles (DMV). Investigate the minimum coverage requirements established by your state, and list these coverage requirements:
Injury or death to one person
Injury or death to more than one person
Damage to property
California often needs the following minimum insurance coverage:
That is $15000 for any kind of bodily Injury or death to one person.That is $30000 for any kind of bodily $30,000 for injury or death to more than one person.That is $5000 for any form of property damage liability.What does minimum mean?The phrase minimum coverage in terms of car insurance policy is known to be the bodily injury liability and property damage liability that one has to cover.
It is known to often differ per state. Note that all the minimum coverage requirements above are paid by the person who cause the accident.
Learn more about minimum coverage from
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|x-b|=c, only one solution is -3
Answer:
x-b=-3
Step-by-step explanation:
1. Simplify
|x-b|=c
x-b=c
If c=-3 then,
Answer= x-b=-3
Sammy then $200 as a department store she bought three rings for $21 each and spend the rest on for equallypriced bracelets. How much did each bracelet cost?
Answer:
Step-by-step explanation:
3(21) + 4b = 200
63 + 4b = 200
4b = 200 - 63
4b = 137
b = 137/4
b = 34.25...so each bracelet (b) costs $ 34.25
If gas costs $3.58 a gal.how many gallons for $15.00
Answer:
Simple, Just divide 15.00 by 3.58 to get the answer of 4.19
Step-by-step explanation:
15.00 ÷ 3.58 = 4.19
What operation can you use on both sides of the equation 100=100 +y to solve the equation for y? Solve the equation for y.
The equation 100 = 100 + y is an algebraic equation
The operation is subtraction property of equality, and the value of y is 0
How to solve the equation?The equation is given as:
100 = 100 + y
To solve for y, we apply the following operation
Operation: subtraction property of equality
So, we have:
100 - 100 = 100 - 100 + y
Evaluate the differences
0 = y
Rewrite as:
y = 0
Hence, the operation is subtraction property of equality, and the value of y is 0
Read more about algebraic equations at:
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40 points please help
IJKL is a rectangle, so opposite sides have the same length:
• IJ = KL ⇒ 6y - 6 = 2x + 20
• JK = IL ⇒ 3x + 21 = 6y
Substitute the second equation into the first and solve for x :
6y - 6 = 2x + 20
(3x + 21) - 6 = 2x + 20
3x + 15 = 2x + 20
x = 5
Solve for y :
3x + 21 = 6y
15 + 21 = 6y
36 = 6y
y = 6
Raju is twice as old as Paul.
Kai is 6 years younger than Raju.
The sum of their ages is 29 years.
Form a linear equation in x and find Kai's age.
Reflect the shape A in the line x=1
What are the coordinates of the vertices of the image?
anyone who is amazing at maths please help!!!!!!!!!!!!!!!!!!!!
i am running out of time
Answer:
reflected image shown in red on attached diagram
Step-by-step explanation:
When reflecting an object in the line x = a:
reflected x-values: 2a - xreflected y-values are the same as the original y-valuesSo when reflecting in the line x = 1
given x-value = 2, so reflected x-value = 2(1) - 2 = 0given x-value = 4, so reflected x-value = 2(1) - 4 = -2(2, 7) → (0, 7)
(2, 4) → (0, 4)
(4, 4) → (-2, 4)
Do I subtract the fractions or divide or do something else with them please help
Answer:
7/6
Step-by-step explanation:
in order to find the answer you have to -5/6 by 1/3 and then you get 7/6 so technically you have to minus it
25^(2x+3) = 125^(2x+8)
please help and show work!!!!!!!
Answer:
[tex]x = -9[/tex]
Step-by-step explanation:
Given equation:
[tex]25^{2x+3} = 125^{2x+8}[/tex]
Convert 25 and 125 to base 5:
[tex]\implies (5^2)^{2x+3} = (5^3)^{2x+8}[/tex]
Apply exponent rule [tex](a^b)^c=a^{bc}[/tex]
[tex]\implies 5^{2(2x+3)} = 5^{3(2x+8)}[/tex]
If [tex]a^{f(x)}=a^{g(x)}[/tex] then [tex]f(x)=g(x)[/tex]:
[tex]\implies 2(2x+3) = 3(2x+8)[/tex]
Expand:
[tex]\implies 4x+6 = 6x+24[/tex]
Subtract 6x from both sides:
[tex]\implies -2x+6 = 24[/tex]
Subtract 6 from both sides:
[tex]\implies -2x=18[/tex]
Divide both sides by -2:
[tex]\implies x=-9[/tex]
Let's solve up
[tex]\\ \rm\rightarrowtail 25^{2x+3}=125^{2x+8}[/tex]
[tex]\\ \rm\rightarrowtail 5^{2(2x+3)}=5^{3(2x+8)}[/tex]
[tex]\\ \rm\rightarrowtail 5^{4x+6}=5^{6x+24}[/tex]
[tex]\\ \rm\rightarrowtail 4x+6=6x+24[/tex]
[tex]\\ \rm\rightarrowtail -18=2x[/tex]
[tex]\\ \rm\rightarrowtail x=-9[/tex]