Step-by-step explanation:
Rewrite the expression 1/x^2/3 in the form x^nRewrite the expression 1/x^2/3 in the form x^n
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression can be written in the form of xⁿ as x⁻⁰°⁶⁶.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression [tex]\dfrac{1}{x^{\frac23}}[/tex] can be written in the form of xⁿ using the exponential property 1/x=x⁻¹. Therefore, the expression can be rewritten as,
[tex]\dfrac{1}{x^{\frac23}}\\\\= x^{-\frac23}[/tex]
= x⁻⁰°⁶⁶
Hence, the given expression can be written in the form of xⁿ as x⁻⁰°⁶⁶.
Learn more about Expression here:
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Write a system of linear inequalities represented by the graph.
Answer:
Alright so youd havee to right the terms in order which should be easy then your done! Hope this helped!
Step-by-step explanation:
You drive your car for 3 hours at an average speed of 130 km per hour. How far did you go? *
Which equation models this situation? 26 more than a number is 37.
Answer:
x+26=37
Step-by-step explanation:
Which radio costs 150% as much as Radio D?
Sami leave his house at 3:45 PM and walks to karlas house in 15 minutes he stays at karlas house for five minutes and then walks to the library in 10 minutes when does Sami arrive at the library
pls help me with these and can you do them all and mitch you show me how to and I don't care if you use photo math thank you and use give me the best will be thank and brainlist.
hello please help i’ll give brainliest
Answer:
Step-by-step explanation:
A i think
find the slope between (-3,2) and (-7,-16)
Answer: The slope between these two is 3.5
Answer:
Solpe=4.5
Step-by-step explanation:
Sorry if I’m wrong, but I think I got it.
So the formula for slope is y2-y1/x2-x1
In (-3,-2) )-7,-16), -3 is x1, -2 is y1, -7 is x2, and -16 is y2.
Now, you need to fill in the formula with these numbers.
-16-2/-7- - 3
-16-2 is -18
-7- - 3 is -4 (two negatives make a positive)
This makes -18/-4. Divide this to get 4.5.
Let me know if you have any questions!! :)
The time it takes John to get to the store is inversely proportional to
his rate. John walks at a rate of 3 miles per hour. It takes him 20
minutes to walk to the store. He rides his bike at a rate of 15 miles
per hour. How long would it take John to ride his bike to the store?
Answer:8 mph
Step-by-step explanation:
Sally can run 5 km in 25 minutes. At the same rat of speed, how far can she run in 2 hours and five minutes?
Answer:
25 km
Step-by-step explanation:
[tex]\frac{5}{25} :\frac{y}{125}[/tex]
y · 25 = 5 · 125
25y = 625
25y ÷ 25 = 625 ÷ 25
y = 25
PLSSS HELP GIVING BRAINLIEST
Mr. Fowler's science class grew two different varieties of plants as part of an experiment. When the plant samples were fully grown, they compared their heights. Plant variety Height of plant (inches) Mean Mean absolute deviation (inches) Variety A 23, 21, 18, 10, 23 19 4 Variety B 18, 11, 13, 13, 15 14 2 Based on these data, which statement is true? O A. Variety A always grows taller than variety B. B. The average height of variety A is greater and varies more than that of variety B. O C. The average height of variety A is greater but varies less than that of variety B. O D. The maximum height of variety B is greater than that of variety A.
Answer:
the answer is B!
Step-by-step explanation:
i just took the exam!! i came here looking for an answer but decided to try it on my own since i couldnt find one.
Simon lost his library card and has an overdue library book. When the book was 5 days late, he owed $2.25 to replace his library card and pay the fine for the overdue book. When the book was 21 days late, he owed $6.25 to replace his library card and pay the fine for the overdue book. Suppose the total amount Simon owes when the book is n days late can be determined by an arithmetic sequence. Determine a formula for an, the nth term of this sequence. Use the formula to determine the amount of money, in dollars, Simon needs to pay when the book is 60 days late.
Answer:
[tex](a)\ y = 0.25n +1[/tex]
[tex](b)\ \$16[/tex]
Step-by-step explanation:
Given
[tex]n \to days[/tex]
[tex]y \to amount[/tex]
[tex](n_1,y_1) = (5,2.25)[/tex]
[tex](n_2,y_2) = (21,6.25)[/tex]
Solving (a): Formula that represents the scenario.
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{n_2 -n_1}[/tex]
[tex]m = \frac{6.25-2.25}{21-5}[/tex]
[tex]m = \frac{4}{16}[/tex]
[tex]m = 0.25[/tex]
The equation is calculated using:
[tex]y = m(n - n_1) + y_1[/tex]
This gives:
[tex]y = 0.25(n - 5) + 2.25[/tex]
[tex]y = 0.25n - 1.25 + 2.25[/tex]
[tex]y = 0.25n +1[/tex]
Solving (b): Amount after 60 days late.
This means that:
[tex]n = 60[/tex]
So:
[tex]y = 0.25 * 60 + 1[/tex]
[tex]y = 15 + 1[/tex]
[tex]y = 16[/tex]
6 ( 7y - 5) simplified
Answer:
42y-30
Step-by-step explanation:
here you go
List a pair of corresponding angles
Answer:
2 and 6, 1 and 5, 3 and 7, 4 and 8
Step-by-step explanation:
Any one of those would work
Answer: <1 and <5
Step-by-step explanation:
Factor the expression 36a4b10 81a16b20 using the two different techniques listed for Parts 1(a) and 1(b). (a) Factor the given expression using the GCF monomial. (a) Factor the given expression using the GCF monomial. (b) Factor the given expression using the difference of squares.
Answer:
The answer is "[tex]9a^4b^{10}(2+6a^6b^5)(2-6a^6b^5)[/tex]"
Step-by-step explanation:
For point a:
[tex]36a^4b^{10} - 81a^{16}b^{20}[/tex] by GCF
Calculating the const terms:[tex]36 \ n \ 81, \ GCF \ is\ 9\times 4 \ n \ 9\times 9[/tex]
Calculating the terms [tex]w\ a: a^4 \ n \ a^{16},\ GCF \ is\ a^4 \ n \ a^4 \times \ a^{12}[/tex]
Calculating the terms [tex]w \ b: b^{10}\ n\ b^{20}, \ GCF \ is\ b^{10}\ n \ b^{10} \times b^{10}[/tex]
Including the GCFs, [tex]36a^4 b^{10} - 81a^{16}b^{20}[/tex]
[tex]=9a^4b^{10}(4 - 9a^{12}b^{10})\\\\4=2^2 n 9a^{12}b^{10}\\\\=(3a^6b^5)^2[/tex]
Calculating the difference of squares
[tex]\to A^2 - B^2 = (A+B)(A-B)\\\\\to 4 - 9a^{12}b^{10} \\\\\to (2+3a^6b^5)(2-3a^6b^5)\\\\[/tex]
substituting
[tex]\to 36a^4b^{10} - 81a^{16}b^{20}\\\\\to 9a^4b^{10}(2+3a^6b^5)(2-3a^6b^5)[/tex]
For point b:
Calculating the difference of squares:
[tex]A^2 - B^2 = (A+B)(A-B)\\\\36a^4b^{10}=(6a^2b^5)^2\\\\81a^{16}b^{20}=(9a^8b^{10})^2\\\\36a^4b^{10} - 81a^{16}b^{20}\\\\=(6a^2b^5+9a^8b^{10})(6a^2b^5-9a^8b^{10})\\\\=3a^2b^5(2+6a^6b^5)3a^2b^5(2-6a^6b^5)\\\\=9a^4b^{10}(2+6a^6b^5)(2-6a^6b^5)[/tex]
HELPP!! this is due in like 30 minutes and i have to get this done! someone pls help
9x + 18 = 6(x + 3) + 3x = 3(3x + 6)
3x + 15 = 3(2x + 5) - 3x = x + 2x + 15
456 + 788 - 129 x 9 = ?
Also wanna converse? Lol
[tex]456+788-129\cdot \:9\\\\129\cdot \:9=1161\\\\456+788=1244\\\\1244-1161=83\\\\=83[/tex]
Good morning, can someone help me solve this problem? I already did some of it but I need help, thank you
Answer: (-4, -1)
This means x = -4 and y = -1 pair up together.
======================================================
You're on the right track. You'll replace the 'x' with 3y-1, but you made a typo. I think you meant to write the subtraction symbol instead of the equal sign.
Here's what your steps could look like
-2x + 5y = 3
-2(3y-1) + 5y = 3
-6y + 2 + 5y = 3
-y + 2 = 3
-y = 3-2
-y = 1
y = -1
x = 3y-1
x = 3(-1) - 1
x = -3-1
x = -4
Therefore, (x, y) = (-4, -1) is the solution
-------------------
As the steps above show, I replaced each copy of x in the second equation with (3y-1). This is due to x = 3y-1. From there, we isolate y. Once you determine that y = -1, it's plugged into the first equation to find x.
If you were to graph x = 3y-1 and -2x+5y = 3 on the same xy coordinate grid, then the two lines would intersect at (-4, -1)
Also, note how plugging x = -4 and y = -1 into the second equation leads to...
-2x+5y = 3
-2(-4)+5(-1) = 3
8 - 5 = 3
3 = 3
We get the same value on both sides, so that verifies the second equation. I'll let you verify the first equation.
140.23 < 140.203 what is the answer true or false.
Answer:
true
Step-by-step explanation:
Answer:
false because 140.23 is not less then 140.203
Mr. Cobb is carpeting a 17.7 m long hallway. He has a piece of carpet 22 m long. How much does Mr. Cobb need to cut off the length of the piece of carpet?
Answer:5.7
Step-by-step explanation:
Sues dad fixed her play table each of the 4 legs took 2 nails how many nails did he use
Answer:
8 nails
Step-by-step explanation:
because 4x2=8
Find lawn area in m^2
Answer:
area of lawn = 15.708 square meters
Step-by-step explanation:
pi 3 squared (area of lawn and flower bed) - pi 2 squared (area of flower bed)= area of lawn
Andrea bought 1 2/5 pounds of avocados at $4.20 per pound and 2 1/
4 pounds of asparagus at $3.80 per pound.
What was her total cost?
Answer:
$14.43¢
Step-by-step explanation:
We are given; [tex]1\frac{2}{5}[/tex] pounds, 1 pound = $4.20 and [tex]2\frac{1}{4}[/tex] pounds,1 pound = $3.80 that Andrea bought.
Now we need to find her total cost. To do that, we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]1\frac{2}{5}[/tex] to a decimal. It is 1.4. Now we can set up a graph.
Avocados
[tex]\frac{4.2}{1}=\frac{x}{1.4}[/tex]
Switch sides
[tex]\frac{x}{1.4}=\frac{4.2}{1}[/tex]
Apply rule: [tex]\frac{a}{1}=a[/tex]
[tex]\frac{x}{1.4}=4.2[/tex]
Multiply both sides by 1.4
[tex]\frac{1.4x}{1.4}=4.2\cdot \:1.4[/tex]
Simplify
[tex]x=5.88[/tex]
So, her cost for avocados is $5.88¢
Now we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]2\frac{1}{4}[/tex] to a decimal. It is 2.25. Now we can set up a graph.
Asparagus
[tex]\frac{3.8}{1}=\frac{x}{2.25}[/tex]
Switch sides
[tex]\frac{x}{2.25}=\frac{3.8}{1}[/tex]
Apply rule : [tex]\frac{a}{1}=a[/tex]
[tex]\frac{x}{2.25}=3.8[/tex]
Multiply both sides by 2.25
[tex]\frac{2.25x}{2.25}=3.8\cdot \:2.25[/tex]
Simplify
[tex]x=8.55[/tex]
So, her cost for asparagus is $8.55¢
Total cost
Now that we have found out how much both of the fruits Andrea bought costs, we need to sum it up (meaning add it) to find the total cost:
$5.88¢ + 8.55¢ =
5.88 + 8.55 = 14.43
Therefore, Andrea's total cost of the fruits is $14.43¢
given the information in the diagram, which thermo best justifies why lines j and k must be parallel?
Drag each tile to the correct box.
Arrange the matrices in increasing order of their determinant values.
Answer:
Order of the Matrix will be
[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]
Step-by-step explanation:
Given - The matrices are -
[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]
To find - Arrange the matrices in increasing order of their determinant values.
Proof -
Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex] is
= (2)(4) - (6)(3)
= 8 - 18
= -10
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex] = -10
Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] is
= (-2)(9) - (-7)(5)
= -18 + 35
= 17
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] = 17
Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex] is
= (6)(-8) - (6)(5)
= -48 - 30
= -78
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex] = -78
Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] is
= (2)(-5) - (4)(5)
= -10 - 20
= -30
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] = -30
Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] is
= (2)(4) - (5)(-2)
= 8 + 10
= 18
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] = 18
Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex] is
= (4)(2) - (-3)(5)
= 8 + 15
= 23
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex] = 23
Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex] is
= (3)(6) - (2)(4)
= 18 - 8
= 10
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex] = 10
Now,
Increasing order of Determinant is -
-78 < -30 < -10 < 10 < 17 < 18 < 23
So,
Order of the Matrix will be
[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]
Answer:
Correct on Edmentum
Step-by-step explanation:
HELP PLS/GEOMETRY
WHATS THE HEIGHT?
15 POINTS
x = 15 ft
Step-by-step explanation:
x/20 = 6/8
or
x = (3/4)(20 ft)
= 15 ft
HI PLEASE ANSWER THIS QUESTION FOR ME IM GIVING OUT BRAINLIEST AND 20+ POINTS !! D:
Answer:
12
Step-by-step explanation:
Please help and show work!
Answer:
x = 3
Step-by-step explanation:
Two triangles are similar
x/(x+3) = 4/8 cross multiply expressions
8x = 4x + 12
8x - 4x = 12
4x = 12 divide both sides by 4
x = 3
√320x^3 yz
simplify square roots
Answer:
[tex]8x\sqrt{5x}[/tex]yz
Step-by-step explanation:
before you plug in this answer, is your correct equation [tex]\sqrt{320x^3} yz[/tex] or [tex]\sqrt{320x^3yz}[/tex]
Plz help down below is the question
Answer:
The answer would be exactly 250 messages.
0.50 × x = $125
125÷ 0.50=250
Hope this helps!