Answers
Answer:
1
Step-by-step explanation:
There are a couple of identities that come into play here:
a³ -b³ = (a -b)(a² +ab +b²)
(x^a)/(x^b) = x^(a-b)
(x^a)^b = x^(ab)
(x^a)(x^b) = x^(a+b)
_____
These mean we can simplify the expression as follows.
[tex]\left(\dfrac{x^{a}}{x^{b}}\right)^{a^2+ab+b^2}\times\left(\dfrac{x^{b}}{x^{c}}\right)^{b^2+bc+c^2}\times\left(\dfrac{x^{c}}{x^{a}}\right)^{c^2+ca+a^2}\\\\=x^{(a-b)(a^2+ab+b^2)}\times x^{(b-c)(b^2+bc+c^2)}\times x^{(c-a)(c^2+ca+a^2)}\\\\=x^{a^3-b^3}\times x^{b^3-c^3}\times x^{c^3-a^3}=x^{(a^3+b^3+c^3)-(a^3+b^3+c^3)}\\\\=x^0=\boxed{1}[/tex]
The expression has a value of 1.
__
Additional comment
For certain values of x and the exponents, the individual factors may exceed the ability of a calculator to express the value. That is, an attempt at numerical evaluation of this may produce a result different from 1. In any event, the expression is undefined for x=0.
Related Questions
The two histograms show the points scored per game by a college basketball player in 2008 and 2016. What is a typical number of points per game scored by this player in 2008?explain your reasoning.
Write 2-3 sentences that describe the spreads of the two distributions, including what spreads might tell us in this context
Answers
To determine the typical number of points per game in 2008 carefully observe the histogram and identify the number of points that the tallest bar represent.
What is a histogram?This is a type of graph that represents frequency by using bars.
How to identify the typical number of points?Considering the bars differ in height based on the frequencly, the best to identify the typical number of points is:
Identify the graph that represents the number of points during 2008.Look at the bars and identify the tallest one, as well as the number of points this represents.This would be considered the typical nubmer of points or the most common number of points.Note: This questions is incomplete because the histograms were not attached. Due to this, the answer is based on general knowledge.
Learn more about histogram in: https://brainly.com/question/14421716
#SPJ1
A basket contains 3 oranges and 7 apples.
Two pieces of fruit are selected at random, with replacement.
Find the probability that an orange is selected both times.
Answers
Answer:3/10
Step-by-step explanation:No matter what you have 3 oranges so regardless there will be a 30% chance.
The chance of picking an orange is 3/10, and since you’re picking twice with replacement this is represented as 3/10 * 3/10 = 9/100
9/100 or 9%
Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals
∘
∘
degrees
Answers
Answer:
36°
Step-by-step explanation:
A triangle'a angle must add up to 180.
So 97+47=144
180-144= 36°
Answer:
36
Step-by-step explanation:
97 + 47 + x = 180
x = 180 - 144
x = 36
Kevin is 4 times as old as Daniel and is also 6 years older than Daniel.
How old is Kevin?
Answers
Answer:
kevin = 8 - hope this helped
:)
Step-by-step explanation:
Kevin = 4d Kevin is 4 times as old as Daniel
Kevin = d + 6 Kevin is 6 years older than Daniel
4d = d + 6 They both equal K, so they are equal
3d = 6 subtracts D from both sides
d=6/3 = 2
If Daniel is 2 then Kevin is 4x2=8
If Daniel is 2 then Kevin is 2+6 = 8
Kevin is 8
Daniel is 2
Who developed the system of binomial nomenclature?.
Answers
Answer:
The Correct A nswer Is... Carl Linnaeus
Step-by-step explanation:
Please please help me
I will give brainly
five stars and a thanks
Answers
Pattern of the birds she saw:
7, 14, 21, 28
Continuation
35, 42, 49, 56, 63, 70.im so lost im in algebra 1 and i feel so slow
Answers
Answer:
Hey but you get better at in no time lol
Step-by-step explanation:
no need to worry
The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 5 units, then what is the value of k?
k equals one fifth
k = 5
k equals negative one fifth
k = −5
Answers
Answer:
k = 5
Step-by-step explanation:
Plugging in 5 for k turns out positive 5 into a negative 5 because of the negative sign in the function. When k is negative, then the graph moves down.
Help me with khan geometry. (Explain or give answer no link to answer thx)
Answers
Answer:
[tex]\boxed{\sf 200\pi}[/tex]
Step-by-step explanation:
We know that the volume of a cone:-
[tex]\boxed{\sf \pi r^2\cfrac{h}{3}}[/tex]
(r = 10) (h = 6)
[tex]\sf \pi \times 10^2\times\cfrac{6}{3}[/tex]
Divide numbers:-
[tex]\sf \cfrac{6}{3}=\boxed{2}[/tex]
[tex]\sf 10^2\times \:2\pi[/tex]
[tex]\sf 100\times \:2\pi[/tex]
Multiply numbers:-
[tex]\boxed{\sf 200\pi}[/tex]
Therefore, your answer is 200π³
We could also multiply 200 by 3.14 which will give you 628 units³.
28.2
с
45.8
В
о
mzB =
Answers
Answer:
31.6°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the trig function relating the sides opposite and adjacent an acute angle in a right triangle. It tells you ...
Tan = Opposite/Adjacent
__
The tangent of angle B is ...
tan(B) = AC/CB
tan(B) = 28.2/45.8
The angle is found from the tangent using the inverse tangent function.
B = arctan(28.2/45.8) ≈ 31.621°
The measure of angle B is about 31.6°.
What is (2,1) rotated 90 degrees clockwise?
Answers
Answer:
(2,-1)
Step-by-step explanation:
It'd be moved into the 4th quadrant, which is +-
Answer:
It should be ( -1, 2) because it is rotated about -90 degrees.
Step-by-step explanation:
Brainliest Please
what is the value of "Y" to the "2nd" power minus "X" to the "2nd" power when "Y" = 6 and "X" =5
Answers
Answer:
11
Step-by-step explanation:
y^2 - x^2
y = 6, x = 5
6^2 - 5^2
When using exponets we multiply a number by itself as many times as the exponet says, so in this case we multiply 6 x 6 and 5 x 5
6 x 6 = 36 5 x 5 = 25
36 - 25 = 11
Hope this helps!
someone please help me with this
Answers
Answer:
a) 8/11 x 5/3
b) It will be positive. When we have an even number of negatives, the result will be positive ( (-) + (-) = +).
Step-by-step explanation:
a) -8/11 / -3/5
1) -8/11 ÷ (-3/5)
Write the complex fraction as a division expression. Use parentheses because our second fraction is a negative.
2) 8/11 ÷ 3/5
When we have an even number of negatives, the result will be positive ( (-) + (-) = +).
3) 8/11 x 5/3
Dividing is the same as multiplying the second part of the fraction flipped.
4) 40/33
Multiply them: 8 x 5 / 11 x 3
Since the question wants you to write as a multiplication expression, this is the answer:
8/11 x 5/3.
If the height is 6 cm, what is the volume of the pyramid? 24 cm3 48 cm3 128 cm3 144 cm3
Answers
The volume of the pyramid would be 128 cm^3.
Could really use some help pls! It's due soon!
Answers
Draw a line on y=-2 and reflect the dot on the other side. The x doesn’t change, only y changes. So only option is (2,1).
Point x is located at ( 2,5)
When reflecting across the y axis the x value remains the same.
The reflection is at y -2, from -2 to the location of z (-5) is a difference of 3 units.
Add 3 to the reflection line -2 + 3 = 1 , the new y value would be 1.
the new location would be (2,1)
original cost $98 current cost $89 find the percent of decrease round to the nearest whole percent
Answers
Answer:
87.22 hopee helps
Step-by-step explanation:
Find the width of a cereal box that has a volume of 2,310 cm3 and is 22 cm long and 21 cm high.
Answers
breadth = 5cm
hope it helps...!!!
HELPPPPPPPPPP
What is 0.036 written as a percentage?
A) 0.036%
B) 0.36%
C) 3.6%
D) 36%
Answers
Answer:
3.6%
Step-by-step explanation:
^
7 12 10 15 13. what is the pattern.
Answers
It is plus five, minus two (repeated)
The pattern is +5 then -2 alternatively .
What is pattern?A pattern is a repeated arrangement of numbers, shapes, colors and so on. The Pattern can be related to any type of event or object. If the set of numbers are related to each other in a specific rule, then the rule or manner is called a pattern. Sometimes, patterns are also known as a sequence.
According to question
7 12 10 15 13 .........
The pattern in the series is
7+5 = 12
12-2 = 10
10+5=15
15-2= 13 .....................
Hence, the pattern is +5 then -2 alternatively .
To know more about pattern here :
https://brainly.com/question/23037339
# SPJ2
probably not hard but im not smart <3
Answers
Answer:
3x^5 y^2
Step-by-step explanation:
there are 60 people in a class if 1/4 are absent how many peoples are presents
Answers
Explanation: 60x1/4=15
60-15=45
10. Sophia goes to an ice cream shop to get a medium ice cream that costs
$4.50. Sophia only has $6.40 and toppings are $0.75 each. Write an
inequality to find how many toppings Sophia can get. *
Answers
Answer:
$2.10
Step-by-step explanation:
Can someone help with this please??
Answers
Answer:
that don't even make sense
PLS HELP 25 POINTS
X х These line plots show the results of a survey of 10 boys and 10 girls about how many hours they slept the previous night. X x X X X X + X + 3 1 2 4 5 6 7 8 9 10 Boys Select from the drop-down menus to complete each statement. X X X X X xxx X х X xx+ co + 1 2 3 4 5 6 7 8 9 10
The range Girls Choose
The mean Choose.
Answers
Answer:
RangeThe range of the data is the difference between the largest data value and the smallest data value.
Therefore, the ranges are:
Boys: 10 - 3 = 7
Girls: 9 - 5 = 4
So the boys have a larger range than the girls.
MeanTo calculate the mean, add up all the data values then divide by the number of values.
[tex]\textsf{Mean of Boys}=\dfrac{3+6+7+7+8+8+8+8+9+10}{10}=\dfrac{74}{10}=7.4[/tex]
[tex]\textsf{Mean of Girls}=\dfrac{5+6+6+6+7+7+7+8+8+9}{10}=\dfrac{69}{10}=6.9[/tex]
So the boys have a higher mean than the girls.
Are you picky about the toilet paper you buy? James is! To investigate the absorbency power of his favorite
brand of toilet paper, he went to the store and randomly selected (and purchased) 18 single rolls. He then
poured 1/4 cup of water onto a hard surface and counted how many individual squares of toilet paper it took
to completely absorb the water. Here are the results from his 18 rolls:
29
29
20
24
25 29 21
27 28 21
24 27 25 24
25 26 22 23
(a) Is there convincing evidence at the a= 0. 05 significance level that this brand of toilet paper will
require less than 26 squares to absorb 1/4 cup of water?
(b) Referring to your conclusion, what type of error may have been made? Describe the error in the
context of this study.
Answers
There's no convincing evidence at 0.05 significance level that this brand of toilet paper will require less than 26 squares.
What is a significance level?A significance level simply means is the probability that an event has occured by chance.
In this case, there's convincing evidence at 0.05 significance level that this brand of toilet paper will require less than 26 squares to absorb 1/4 cup of water. Therefore, we fail to reject the null hypothesis.
A type of error that may have been made is type II error. This is the non rejection if the null hypothesis when it's false.
Learn more about significance level on:
https://brainly.com/question/9163177
Two tourist groups went to the local art museum. The admission for an adult ticket costs the same amount, and the admission for student ticket costs the same amount. The first tourist group paid $46.90 for 3 adult and 5 student admission tickets. The second tourist group paid $29.60 for 2 adult and 3 student admission tickets. What was the cost in dollars of each adult admission ticket?
Answers
Answer:
the cost in dollar of each adult admission ticket will cost $5.8
Figure B is a scale image of Figure A, as shown. Enter the scale factor applied to Figure A to produce Figure B: figure A, 3 2 4 and Figure B, 6 4 10
Answers
Answer:
Figure A: 3, 4, 5
3 x 2 = 6
4 x 2 = 8
5 x 2 = 10
Figure B: 6, 8, 10
So the scale factor applied to Figure A to produce Figure B is 2
Pls pls pls help ill give you whatever :(
Answers
Answer:
[tex]y^{\frac{3}{7}}[/tex]
Step-by-step explanation:
[tex]\sqrt[7]{y^3}=y^{\frac{3}{7}}[/tex]
The root of the radical will become the denominator of the exponent fraction and the power of the radical will become the numerator of the exponent fraction
7 ---> is the root of the radical
3 is the power of the radical
which graph represents the inequality y < 2x +3 correctly
Answers
Answer:
im not sure , sorry
Step-by-step explanation:
Answer:
Option C
Step-by-step explanation:
Graphing inequality:
1) First plot y = 2x + 3 as a dotted line as y is less than x
Put x = 0, y = 2*0 +3 = 0 + 3 = 3 ⇒ (0, 3)
Put x = 1 , y = 2*1 + 3 = 2 +3 = 5 ⇒(1 , 5)
Put x = -1, y =2*(-1)+3 ⇒ -2+3 = 1 ⇒ (-1,1)
Mark these three points, and draw a dotted line.
2) Shade the area bellow the dotted line as y < 2x + 3
Check: take a point in the shaded area. (1 , -1)
-1 < 2*1 + 3
-1 < 2 +3
-1 < 5
The condition is satisfied.
what is the area of the trapezoid
Answers
Step-by-step explanation:
A = 1/2*h(base + base)
First step, plug in your numbers:
1/2*(3)(5 + 9)
Add inside the parenthesis:
1/2*(3)(14)
Multiply 3 x 14:
1/2*(42)
Lastly, multiply:
A = 21 m^2
Hope this helps you :)
Hey Mate ,
In this particular question we have to find the area of a trapezoid.
The formula for finding the area is 1/2(a+b)h
Here ,
A :- 5m B :- 9m H :- 3mNow putting all the values in the formula
Area :- 1/2(5+9)3
Area :- 21m²