Answers
Answer:
The answer is 729/64.
Step-by-step explanation:
I would first simplify the equation.
In the denominator, you can get rid of b^0 because that just equals 1.
For the a's in the numerator and denominator, you have to flip them so the exponents can be positive.
Equation: [tex](\frac{3ab^2}{2a^3})^2[/tex]
Now, you can subtract a and a^3. This would be 1/a^2.
Equation: [tex](\frac{3b^2}{2a^2})^2[/tex]
Now, you can square the whole equation.
Equation: [tex]\frac{9b^4}{4a^4}[/tex]
This is the simplified equation. Now you can plug in -2 and -3.
Equation: [tex]\frac{9(-3)^4}{4(-2)^4}[/tex]
Equation: [tex]\frac{9(81)}{4(16)}[/tex]
Equation: 729/64
Related Questions
A solid circular cylinder has a base radius 5 cm and a height 12.5 cm. Find the approximate increase in the surface area of the cylinder when the radius of the base increases to 5.05
Answers
Answer:
19.72 cm²
Step-by-step explanation:
A solid circular cylinder has a base radius 5 cm and a height 12.5 cm.
The volume of cylinder is given by :
[tex]V=\pi r^2 h\\\\=3.14\times (5)^2\times 12.5\\\\=981.25\ cm^2[/tex]
When r = 5.05, new volum becomes,
[tex]V=\pi r^2 h\\\\=3.14\times (5.05)^2\times 12.5\\\\=1000.97\ cm^2[/tex]
Increase in area = 1000.97 - 981.25 = 19.72 cm²
So, the increase in surface area of the cylinder is equal to 19.72 cm².
Find the coordinates of point M, that partitions the directed line segment SY from S(4,2) to Y(-4,-6) in a ratio of 1/3.
Answers
Answer:
the coordinates of point M = (2,0)
Step-by-step explanation:
Given;
point S along the segment, = S(4,2)
point Y along the segment, = Y(-4, -6)
ratio of the partition = ¹/₃
total ratio = 1 + 3 = 4
The midpoint of segment SY is calculated as follows;
[tex]mid-point (o) = \frac{x_1 + x_2}{2} ,\ \frac{y_1 + y_2}{2}\\\\ mid-point (o) = \frac{4 + (-4)}{2} , \ \frac{2+ (-6)}{y} \\\\mid-point (o) = \frac{0}{2} , \ \frac{-4}{2} \\\\mid-point (o) = (0, \ -2)[/tex]
The coordinates of point M is calculated as follows;
point M divides the segment into 4 equal parts with point O as the mid-point.
M
S--------------|-------------------O-------------------|-------------------Y
|SO| = |OY|
[tex]The \ mid-point \ of \ SO = M\\\\Point \ S = (4,2) \\\\Point \ O = (0,-2) \\\\Point \ M = \frac{4 + 0}{2}, \frac{2 - 2}{2} \\\\ Point \ M = 2, 0 \\\\M = (2,0)[/tex]
Therefore, the coordinates of point M = (2,0)
How much time is between 2:30 pm and 4:15pm?? I need an answer quick!!
Answers
Answer:
Step-by-step explanation:
First do 4 -2 to get 2. Then do 30-15 to get 15. It’s 2:15.
You can also do this on a calculator by doing 4.15-2.30. You get 1.85
Remember that time is only up to 60 So you have to subtract 15 from 85 to get 60. So it’s 2 hours and 15 minutes. Hope this helps!
Which questions can be answered by finding the volume? Check all that apply. How much wrapping paper is needed to cover a box? How much juice is inside the juice box? How much paint is needed to cover the walls in a bedroom? How much sand is needed to fill a sandbox? How much ice can fill a cooler?
Answers
How much ice can fill a cooler?
(Volume is a measure of the inside contents or the space inside)
d - how much sand fills the sandbox
e - how much ice fills cooler
volume is how much space something takes up, not covers
At Food Lion, you can buy 3 bags of Takis for $4.99. What is the
price of one bag of Takis? (Round to the nearest cent)
Answers
Answer:
Step-by-step explanation:
price of one bag of Takis = $4.99/3 = $1.66333, which is approximately $1.66
jen thought she would get 12 questions right on the test but she only got 8 what is the percent of error?
Answers
Answer:
50 percent of error
Step-by-step explanation:
((experiment - real)/real) x 100 = the percentage
(12-8) = 4
4/8 = .5
.5 x 100 = 50%
PLEASE I NEED HELPPPPP!!!!!!!!! Determine the measure.
Answers
Answer:
710°
Step-by-step explanation:
360° because you make a full rotation + 270° because you go 3/4 of the way around + 80° = 710° total.
Find the area of the rectangle.
2X+3
X+1
Answers
Answer:
Doesn't seem like a rectangle but when you combine like terms you get 5x+1
sorry if it didn't help.
Step-by-step explanation:
Explanation: 2x+3(x+1)
2x(x+1) +3 (x+1)
2x (squared) + 2x + 3x + 3
hope that helps if u have any questions let me know also are u sure that this is the full question because it doesn't really make sense like it doesn't give any measurements at all so you can't really find the area you can only simplify the equation??
if there is any more information about this question comment under this and i will solve it fully!!
BRAINIEST TO WHOEVER RIGHT
Answers
Answer:
Range = 7; Interquartile range = 3
Step-by-step explanation:
Range = 9 - 2 = 7
Interquartile range = 7 - 4 = 3
Find the area. Please hurry!
Answers
At the city triathlon, athletes bike 110 miles, run a 23.5 miles marathon, and swim. If the total distance of this triathlon is 135.7 miles, how far de the athletes swim?
Answers
Answer: 2.20 miles
Step-by-step explanation:
The triathlon involves the bike race, swimming and the marathon.
You are given the distance for the marathon, the biking and the total distance.
Total distance = Swimming + Marathon + Biking
135.7 = Swimming + 23.5 + 110
Swimming = 135.7 - 23.5 - 110
Swimming = 2.20 miles
Alan worked for 2 58 hours doing yard work. He spent 1 12 hours raking leaves. He spent the rest of the time cleaning out the flower bed. How long did he spend cleaning out the flower bed?
Answers
If it takes Luke 3 hours to rake a yard, and Don 5 hours to rake the same yard, how long will it take them to rake the yard together.
First we do it in our head. Take everything to 15 hours, the LCM of 3 hours and
and 5 hours. Since Luke can rake 1 yard in 3 hours, he can therefore rake 5
yards in 15 hours. Similarly since Don can rake 1 yard in 5 hours, he can
therefore rake 3 yards in 15 hours. So that's 5 yards plus 3 yards they can
rake in working simultaneously for 15 hours, therefore they rake 8 yards in 15
hours or 1 yard in 15%2F8ths of an hour. That's 1%267%2F8ths hours.
By algebra. Make this chart:
Yards raked Hours Rate in yards/hr
Luke 1 3 1/3
Don 1 5 1/5
Together 1 x 1/x
Luke's rate + Don's rate = their rate together
1/3 + 1/5 = 1/x
Solve that by clearing of fractions and you'll get the same answer as
when we do it in our head.
1 13/24
Ignore this btw that is the answer i’m just writing this cause it says i have to write 20 letters-
x 100 20 4 10 8 x 100 20 4 10 8 x 100 20 4 10 8 x 100 20 4 10 8 x 100 20 4 10 8
Answers
Answer: 327680000x? sry i dont know what you want us to do
Step-by-step explanation:
Answer:
if u multiply: 640000
if its in extended from: 12418
if u multiply the extended from number times 5 : 501020540
Step-by-step explanation:
u weren't specific so i put a bunch of different strategies together but pls explain and i will edit my answer to put the correct answer
can someone help me asap
Answers
Answer:
so 414 so the 4 in the hounded coloum
1011 the one is in the tenths coloum
does this help you work out the over two
Step-by-step explanation:
There are 60 sheets of papers in each pack. How many packs are needed to arrange for 5432 sheets?
Answers
Answer:
90 8/15 hope this helps byee
Quadrilateral ABCD is inscribed in circle O as shown below.
Answers
Answer:
Step-by-step explanation:
180 - m∠1
A group of 25 students is asked which of football or rugby they play regularly.
• 10 say they play both.
15 say they play rugby.
4 say they do not play either of the sports.
.
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ח
R
a) Complete the Venn diagram.
The universal set, &, contains all of the
25 students.
[3]
b) One of these students is chosen at random.
What is the probability that this person plays football?
Answers
Answer:
a) see explanation
b) 40%
Explanation:
a) sorry, i can't specifically help with this one unless you attach a picture of the venn diagram. but the way venn diagrams work is that you draw several circles, each representing a trait (i.e. plays rugby). circles will overlap if someone has more than one trait (i.e. plays both sports).
b) the probability is 10 ÷ 25 × 100% = 40%.
i hope this helps! :D
Solve. Your solution needs to have the variable first. -4 + x < -10
Answers
Answer and Step-by-step explanation:
First off, we need to get the variable by itself. We do this by adding 4 to each side of the inequality.
x < -6
Our answer is x < -6, so all values that are inputted to x and are less than -6 are solutions to the inequality.
#teamtrees #PAW (Plant And Water)
Plz I need help with this ASAP
3x^2/4=48
This is solving quadratic functions by square roots btw
Answers
Multiply both sides by 4 to get rid of the four on the left.
3x^2 = 192
Divide both sides by 3
x^2 = 64
The square root 64 to get x
Remember there are two answers
x = 8 and x = -8
Answer:
x = 8
Explanation:
[tex]\frac{3x^2}{4} =48[/tex]
multiply both sides by 4: [tex]3x^2=192[/tex]
divide both sides by 3: [tex]x^2=64[/tex]
take the square root:
[tex]\sqrt{x^2} = \sqrt{64} \\x=8[/tex]
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease per unit
of x, to the nearest tenth of a percent.
y = 1600e -0.1252
Answers
Answer: -34738.4259228
Step-by-step explanation:
It’s a decrease because your dividing 1600e -0.1252
In parallelogram NPQR if NS=20 find SQ
Answers
Answer:SQ=20
Step-by-step explanation:
NS=20
NS=SQ
SQ=20
The value of SQ is 20
What is parallelogram?The Greek word "parallelogram on," which means "bounded by parallel lines," is where the term "parallelogram" comes from. As a result, a parallelogram is a quadrilateral with parallel lines defining its boundaries. The opposite sides are parallel and equal in this shape. There are three main classes of parallelograms: square, rectangle, and rhombus each have their own distinct characteristics.
Given a parallelogram NPQR
and NS = 20 to find the value of SQ
since S is the intersecting point of diagonals of parallelogram,
so NS = SQ
The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal. The sum of the squares of a parallelogram's diagonals and all of its sides is the same.
SQ = 20
Hence for parallelogram SQ = 20.
Learn more about parallelogram;
https://brainly.com/question/29147156
#SPJ2
The complete question is attested in image.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
Answer:
A
Step-by-step explanation:
It will always go down if you put more wait.
Can I have Brainliest
5. To determine the number of kids under the age of 5 in your neighborhood, you sit outside of
your apartment and count the number of kids under 5 that pass by between the hours of 7AM
and 8AM. Do you think this method will provide you with a representative random sample?
Explain your reasoning.
Answers
Answer:
It will not provide a representative random sample.
Step-by-step explanation:
This is because kids under five will only leave the house if they are going to the park or doing something with there parents. They don't go to school either so they most likely won't leave during the hours of 7 AM and 8 AM.
Hope this helps! :D
- Luna
Solve the following system using substitution:
x - 4y = -1
-3x +8y = -2
Answers
Answer: ( 4, 5/4)
Step-by-step explanation: x = 4, y = 5/4
State the slope and y-intercept for the graph of the equation -8x + y = -12.
Show your work!!
Answers
Answer:
Slope is 8 and Y-Intercept is -12
Step-by-step explanation:
Move the -8x over to the right side by adding it, You are now at
y=-12+8x
Move these around and you are now at
Y=8x-12
Answer:
Step-by-step explanation:
Remark
y must have a numerical coefficient of 1. This equation does. If it does not, then you must divide through by whatever is in front of the y.To read the slope, you must have x and its coefficient on opposite sides of the equal sign. So you get y = 8x - 12 when you add 8x to both sidesNext, the y intercept is found when x = 0y = 8x - 12y = 8(0) - 12y = - 12The y intercept is -12 or in point form (0, - 12)Answer
slope = 8
y intercept = - 12
what is 6+(−434)+(−218) simplified?
Answers
Answer:
Hi! The answer to your question is -646
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
PLZZ HELP WITH THIS HOMEWORK
Answers
How do you solve this proof?
Answers
Answer:
Angle = A
A7 = A4 (Alternate interior angles)
A14 = A11 (Vertically opposite angles)
A11 = A6(Corresponding angles)
A4 = A14 (Given)
From this, we can get A6 = A4
A6 and A4 are alternate angles and are equal. So c and d are parallel.
A7 + A10 = 180 (Linear pair of angles) - ( 1 )
A13 = A10(Alternate interior angles)
Putting A13 in place of A10 in ( 1 ),
A7 + A13 = 180
Hence proved
Ask doubts if any
PLEASE HELP ILL GIVE BRAINLIEST
You walked 30 miles in 6hours. What was your average speed? a. 5mph b.80 mph c. 24mph d. 18 mph
Answers
Answer:
5 mph.
Step-by-step explanation:
5x6 equals 30. 30 divided by 6 equals five. Hope it helps
Answer:
A. 5mph
Step-by-step explanation:
30m = 6h
/6 /6
5m = 1h
5mph
PLEASE HELP (12 YEAR OLD MATH)
Answers
Answer:
1.5 I think?
Step-by-step explanation:
it was counting by 6 but then skipped to 26 so I assume it is 1.5