Answer:
[tex] \longmapsto4 \sqrt{3} + 2 \sqrt{6} .[/tex]
Step-by-step explanation:
[tex]\sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}}}[/tex]
By Rationalizing the denominator:-
[tex] = \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} \times \dfrac{2 + \sqrt{2}}{2 + \sqrt{2}}}[/tex]
[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{(2)^2 - (\sqrt{2})^2}}[/tex]
[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{4 - 2}}[/tex]
[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{2}}[/tex]
[tex] = \sf{\dfrac{\not{4}\sqrt{3}(2 + \sqrt{2})}{\not{2}}}[/tex]
[tex] = \sf{2\sqrt{3}(2 + \sqrt{2})}[/tex]
[tex] = \sf{4\sqrt{3} + 2\sqrt{6}}[/tex]
[tex] \therefore \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} = 4\sqrt{3} + 2\sqrt{6}}[/tex]
jada has $20 to spend on games and rides at a carnival. Games cost $1 each and rides are $2 each.
which equation represents the relationship between the number of games, x , and the number of rides, y,
that Jada could do if she spends all her money?
A: x + y =20
B: 22 + 4 = 20
C: 0+2y=20
Answer:
I believe its A
Step-by-step explanation:
Hope it helps
pls answer quick!!! i'll give brainliest if right!
Answer:
Step-by-step explanation:
$0.11
per ounce
1.32/12=0.11!!
Answer: 1.21
Since we know that $1.32 is 12 ounces all we need to do is figure out how much is in each ounce which is "0.11", so this means for each unit equals to "0.11" so
0.11 x 11=1.21 ounces Good luck!
Which of the following systems of inequalities has no solution?
Answer:
c
Step-by-step explanation:
See the attached graph. There's no overlap between the two individual solution sets.
Doug entered a canoe race. He rowed 3 ½ miles in ½ hour. What is his average speed in miles per hour
Answer:
7 miles per hour
Step-by-step explanation:
3.5 times 2.
What is the function form of:
8x + 2y = -2
y = ?
Answer:
-4x-1
Step-by-step explanation:
-4x-1
Two people wrote a book together. They agreed to share the royalties so that the senior author received twice as much as the
junior author. What is each author's share of a $2400 royalty check?
Answer:
Junior author = $800
Senior author = $1600
Step-by-step explanation:
The check is split between the senior author and junior author in the ratio of 2:1
2:1 = $2400
Add the ratios together:
2 + 1 = 3
3 parts = $2400
Find one part of the total check by dividing both sides by 3:
1 part = $800
The junior author would get $800, and the senior author would get double, $1600can someone please help me as soon as possible
A container manufacturing company was contracted to design and manufacture cylindrical cans for fruit juice. The volume of each can needs to be 0.946 liters. In order to minimize production costs, the company wishes to design cans that require the smallest amount of material possible. (This means that you need to design a can with volume=.946 liters and the smallest possible surface area. Explain the relationship between the surface area and the amount of material.)
The volume of the cylinder is the amount of fruit juice it can contain.
The relationship between the volume and the surface area is:
[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]
The given parameter is:
[tex]\mathbf{V = 0.946}[/tex]
The volume of a cylinder is calculated as:
[tex]\mathbf{V = \pi r^2 h}[/tex]
Make h the subject
[tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]
The surface area (A) of a cylinder is:
[tex]\mathbf{A = \pi r^2 + \pi rh}[/tex]
Substitute [tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]
[tex]\mathbf{A = \pi r^2 + \pi r \times \frac{V}{\pi r^2}}[/tex]
[tex]\mathbf{A = \pi r^2 + \frac{V}{r}}[/tex]
Differentiate
[tex]\mathbf{A' = 2\pi r - Vr^{-2}}[/tex]
Set to 0
[tex]\mathbf{2\pi r - Vr^{-2} = 0}[/tex]
Rewrite as:
[tex]\mathbf{ 2\pi r = Vr^{-2}}[/tex]
Multiply through by r^2
[tex]\mathbf{ 2\pi r^3 = V}[/tex]
Solve for r
[tex]\mathbf{r = \sqrt[3]{\frac{V}{2\pi}}}[/tex]
[tex]\mathbf{A = \pi r^2 + \frac{0.946}{r}}[/tex]
So, we have:
[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]
Hence, the relationship between the volume and the surface area is:
[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]
Read more about surface areas and volumes at:
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Which statement is true?
A.
0.77 < 0.770
B.
15.04 = 15.40
C.
50.6 = 50.600
D.
1.249 > 1.942
Answer:
C is the correct answer
Step-by-step explanation:
50.6 and 50.600 are mathematically the same thing. Adding zeros at the end of a decimal does not increase its amount in this case.
Answer:
C
Step-by-step explanation:
50.6 is the same as 50.600
estimate 1.75 * 12.5
Answer:
21.875, round as needed.
Step-by-step explanation:
1.75 * 12.5
21.875
You can also round to:
21.88
21.9
22
Just depends on what your teacher is asking
In a certain Algebra 2 class of 29 students, 8 of them play basketball and 16 of them play baseball. There are 11 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Answer:
18/29
Step-by-step explanation:
The probability that a student chosen randomly from the class plays basketball or baseball is 18/29
How to determine the probability?The given parameters are:
Students = 29Basketball = 8Baseball = 16Neither = 11The number of students that play basketball or baseball is:
Basketball or Baseball = Students - Neither
This gives
Basketball or Baseball = 29 - 11
Basketball or Baseball = 18
The probabilty is then calculated as:
P = Basketball or Baseball/Students
This gives
P = 18/29
Hence, the probability that a student chosen randomly from the class plays basketball or baseball is 18/29
Read more about probability at:
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hey can someone please help me with this
Answer:
no
Step-by-step explanation:
A metal strip is being installed around a rectangular workbench that is 8 feet long and 4 feet wide. If the stripping costs $4 per foot, find the total cost of the stripping.
Answer:
$144
Step-by-step explanation:
Length*Width*Price
12*3 = 36
36*4 = 144
$144
QUWX is a field in the shape of a Trapezium whose parallel sides are 121m and 56m and the non parallel sides are 82m and34m. find the cost of ploughing the field at Rs 14.89 per square kilometre.(help with this one)
Answer:
hence the total cost to plough the trapezium field
is Rs. 893500.50
Step-by-step explanation:
the required answer may be wrong .... but this is the way to do it....
hope this helped you...☺️
comment if any confusion
Help!! Anyone? Don’t give answer that is gibberish just so you can earn points
Answer:
I am not sure but this is what I got
Step-by-step explanation:
1/3, 1/4, 2/5are the fractions. when we find the LCM= 60
the fractions become 20/60, 15/60 and 24/60
add all of them we get 59/60
total = 60/60
total -used part of cake = unused part of cake
60/60 - 59/60 = 1/60
hope it helps :) pls check if there are any mistakes
solve for f. f-(-4)=-1
Answer:
f-(-4)=-1
f+4=-1
f+4-4=-1-4
f=-5
Step-by-step explanation:
asap po please thank you po!
Answer:
Step-by-step explanation:
2. Should be 500
8. Should be 290
The rest are correct
Answer:
1. 100 good job
2. 500 round to the nearest hundred either 400 or 500. 500 is closer.
3. 9,000 good job
4. 7,800 good job
5. 250 good job
6. 4,000 good job
7. 6,800 good job
8. 290 round to the nearest 10 either 290 or 300 290 is closer
9. 400 good job
10. 8,000 good job
Step-by-step explanation:
Rounding to the nearest number is up at 5 and below for 4 and less. The same concept applies to larger numbers.
Andy is hanging wallpaper in his kitchen. He is able to cover 2/2 fifths of the walls in the room using 6 rolls of wallpaper. What is the number of rolls of paper used per wall?
The number of rolls per wall is????
Answer:
8
Step-by-step explanation:
to be honest tho I don't even know
Shannon swam 100 meters in 56.24 seconds. Rick swam 100 meters
in 59.48 seconds. Rick took how many seconds longer to swim
100 meters than Shannon?
I’m kinda in a rush anyone mind helping?
Answer:
find the difference between the two times by subtracting them;
59.48-56.24= 3.24 seconds
Step-by-step explanation:
After a 25% discount the price of a T shirt was $12 what was the price before the discount?
Answer:The price before the discount is $ 16The population last year is 5280Solution:B) After a 25% discount, the price of a T-shirt was $12.
Step-by-step explanation:G
Answer:
$16
Step-by-step explanation:
25% is equal to 1/4.
1/4 of 16 is 4.
so if you subtract 4 from 16, it equals 12.
have a lovely day <3
2 root 5 x 5 root 5 sgsvbhmdhmcbjkd jklcdvncbcbxcvzbvk
Answer:
ummm?
Step-by-step explanation:
Answer:
Something
Step-by-step explanation:
I have no idea what u just asked
Write the equation of the line through
(4, 4) and (2, 2) in point-slope form.
Answer:
y-4=1x-4
Step-by-step explanation:
put in format : y2-y1=m(x2-x1)
y-4 = 1(x-4)
distribute
y-4=1x-4
What is the slope of this line?
Step-by-step explanation:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
Answer:
slope = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (3, 2) ← points on graph
m = [tex]\frac{2-5}{3-7}[/tex] = [tex]\frac{-3}{-4}[/tex] = [tex]\frac{3}{4}[/tex]
Do u think temperature and pressure have any effect on gasses
Answer:
Gay Lussac's Law - states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. If you heat a gas you give the molecules more energy so they move faster. This means more impacts on the walls of the container and an increase in the pressure.
Step-by-step explanation: An increase in the number of gas molecules in the same volume container increases pressure. A decrease in container volume increases gas pressure. An increase in temperature of a gas in a rigid container increases the pressure
Answer:
yes I think that temperature makes it hotter or
colder depending on the temperature of it or the surroundings and the pressure I don't honestly don't think it effects them
Janine's mom purchases six umbrellas for a total cost of $37. She has a coupon, which will save her 25 percent. In
order to determine her new fotal, she needs to take 0.25 of 37 to find her savings. How much will she save with her
coupon? What will her new total be?
Answer:
27.75$
Step-by-step explanation:
37-----100%
x-------25%
x=(25×37)÷100
x=9.25
total = 37-9.25=27.75
her new total will be 27.75$
What is the slope of the line passing through the points (6, 7) and (1, 5)?
Answer: it’s a fraction and it’s 2/5
Step-by-step explanation:
1. Vinay applied the distributive property to the equation -5(m - 2) - 25. His equation then became --5m + 10 = -125. Did he apply the distributive property correctly?
Explain
Yes. When using the distributive property you need to multiply all the terms in the equation by the number that is in front of the parentheses.
No. The product of -5 and 25 is 125, not - 125.
No. Vinay also multiplied the right-hand side of the equation by --5, which is incorrect.
Yes. Vinay multiplied the terms on the left-hand side of the equation by -5, which is what you are supposed to do.
Answer:
C. No. Vinay also multiplied the right-hand side of the equation by --5, which is incorrect.Step-by-step explanation:
Proper application of the property:
- 5(m - 2) - 25 = -5m - 5(-2) - 25 = -5m + 10 - 25 = -5m - 15Vinay multiplied 5 and 25 as well, which is incorrect.
Correct answer choice is C.
All cross-sectional shapes that are parallel or perpendicular to one of the
bases of a?
are also congruent to one another.
A. cube
B. polygon
C. prisma
D. pyramid
All cross-sectional shapes that are parallel or perpendicular to one of the bases of a Cube.
What is cross-section?A cross section in mathematics is the illustration of the intersection of an entity by a plane.
In a cube, all the faces which is parallel or perpendicular to one of the faces are congruent to one another.
So, out of all cross-sectional shapes that are parallel or perpendicular to one of the bases of a Cube, are also congruent to one another.
Hence, the cross-sectional shapes that are parallel or perpendicular to one of the bases of a Cube.
Learn more about cross-sections, click;
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\frac { 3 ^ { p + 1 } - 3 ^ { p } } { 2 \times 3 ^ { p } } = 1
Answer:
Given equation:
[tex](3^{p+1} - 3^p) /(2 *3^p) = 1[/tex]Solving for p:
[tex]3^{p+1} - 3^p = 2 *3^p[/tex][tex]3*3^p - 3^p = 2 *3^p[/tex][tex]2 *3^p =2 *3^p[/tex]p - any real number
We can state the initial expression is correct for any value of p.
Answer:
True for all p
Step-by-step explanation:
Given equation:
[tex]\dfrac{3^{p+1}-3^{p}}{2 \times 3^{p}}=1[/tex]
Multiply both sides by [tex]2 \times 3^p[/tex]:
[tex]\implies 3^{p+1}-3^p=2 \times 3^p[/tex]
Add [tex]3^p[/tex] to both sides:
[tex]\implies 3^{p+1}-3^p+3^p=2 \times 3^p+3^p[/tex]
[tex]\implies 3^{p+1}=3 \times 3^p[/tex]
Rewrite 3 as 3¹:
[tex]\implies 3^{p+1}=3^1 \times 3^p[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies 3^{p+1}=3^{1+p}[/tex]
[tex]\implies 3^{p+1}=3^{p+1}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]
[tex]\implies p+1=p+1[/tex]
Subtract 1 from both sides:
[tex]\implies p+1-1=p+1-1[/tex]
[tex]\implies p=p[/tex]
Therefore as both sides are equal, true for all p.
If the probability for an event is 1/6, what would that be as a percent rounded to the nearest tenth?
Answer:
0.070
Step-by-step explanation:
i think