The simplification of (39x⁵z⁴)⁰ • 18x²y is 18x²y.
What is Simplification?Making anything simpler is known as simplification. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler.
To simplify an equation:
By eliminating all common components from the numerator and the denominator and putting the fraction in its simplest/lowest form, we can simplify fractions. Mathematical expressions can be made simpler by grouping and combining related terms.Rewrite the given equation using the commutative property of multiplication.
18(39x⁵z⁴)⁰x²y
Use the power rule (xy)ⁿ=xⁿyⁿ for distributing the exponent.
18(39⁰(x⁵)⁰(z⁴)⁰)x²y
Anything raised to 0 is 1.
18(1(x⁵)⁰(z⁴)⁰x²y
Multiply (x⁵)⁰(x⁵)⁰ by 11.
18((x⁵)⁰(z⁴)⁰)x²y
Multiply the exponents in (x⁵)⁰.
18(x⁰(z⁴)⁰)x²y
Multiply x⁰ by x² by adding the exponents.
18(x²(z⁴)⁰)y
Simplify 18(x²(z⁴)⁰)y
18x²y
Therefore, simplification of given equation is 18x²y.
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14 POINTS + A BRAINLIEST PLS HELPP!!!
The equivalent expression of the given expression is 5n/4 -3/8
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here, the given expression is :
(-2 ¹/₂n + ¹/₄) + (3 ³/₄n - 5/8)
simplifying the above expression by taking like considering like terms :
= -2 ¹/₂n + 3 ³/₄n + ¹/₄- 5/8
= (15/4)n - (5/2)n + (2-5)/8
= (15-10)n/4 -3/8
= 5n/4 -3/8
Therefore, the equivalent expression of the given expression is 5n/4 -3/8.
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Let A, B be events, with P(A) =.2, P(B) = .4, and P(A|B) = .25. Find P(A and B)
[tex]p(a \: \cup \: b) = p(a) + p(b) - p(a \: \cap \: b) \\ p(a \: \cup \: b) = 0.2 + 0.4 - p(a \: \cap \: b) \\ p(a \: \cup \: b) = 0.6 - p(a \: \cap \: b) \\[/tex]
[tex]but \: \: p(a \: \cap \: b) = p(a /b) \times p(b) \\ p(a \: \cap \: b) = 0.25 \times 0.4 = 0.1[/tex]
[tex]p(a \: \cup \: b) = 0.6 - p(a \: \cap \: b) \\ p(a \: \cup \: b) = 0.6 - 0.1 \\p(a \: \cup \: b) = 0.5[/tex]
Below are graphs of functions over the interval [-4,4]. Find the following for each function:
The Domain,
Zeroes of the function,
Intervals wher ethe function is positive and intervals where it is negative.
For the graphed function, the information is given as follows:
The domain is [-4,4].The function has no zeros.The function is positive for x ≤ 0.The function is negative for x > 0.What is the domain of a function?The domain of a function is the set that contains all possible input values for the function. In a graph, it is the set that contains all the values of x of the function.
Hence, the domain is [-4,4] for the given function.
What are the zeros of a function?The zeros of a function are the values of x for which f(x) = 0, on the graph they are the values of x when the function crosses the x-axis.
For this problem, the function does not cross the x-axis, hence it has no zeros.
When a function is negative and when it is positive?Looking at the graph of the function, we have that:
It is positive if it is above the x-axis.It is negative if it is below the x-axis.Hence, for the function in this problem:
The function is positive for x ≤ 0.The function is negative for x > 0.More can be learned about functions at https://brainly.com/question/24808124
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$660 divided by 0.16
Answer:
660 ÷ 0.16 = 4,125
Hope this helps :)
40 oz= ___pounds
••••••••••••••••••••••••
Answer:
[tex]2.5[/tex] pounds,
OR
[tex]2 \frac{1}{2} [/tex] pounds
Therefore, option C is the answer
Answer:
Option C is the correct answer.
do u like lil nas x if not why? explain in 2 paragraphs
Answer:
because he is human and human like to dance and eat
3 c − 8 d = 12 for c
The students in Mrs. Mangione's class attempt to guess the number of marbles in a jar to earn 2 extra credit points on their next exam. Suppose there are 1206 marbles in a jar and a student makes a guess of m marbles. Which expression represents the difference between the student's guess and the actual number of marbles.
The expression which reflects the difference between the student's guess and the actual number of marbles is m-1206.
Given that there are 1206 marbles in the jar and student makes a guess of m marbles.
We are required to find the expression that represents the difference between the student's guess and the actual number of marbles.
Expression is the combination of numbers, symbols, fraction, coefficients and are found to be without the equal to sign.
Total number of marbles in the jar=1206
Number of marbles that student guesses=m
The expression that shows the difference between the student's guess and the actual number of marbles is m-1206.
Hence the expression which reflects the difference between the student's guess and the actual number of marbles is m-1206.
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Please answer the question in the picture, I will mark brainliest
Answer:
The 3rd one
Step-by-step explanation:
My mom is a teacher lol
por favor alguien que me ayude
Mediante la ley del seno, la longitud del faro es aproximadamente igual a 8.295 metros.
¿Cómo determinar la longitud del faro mediante leyes trigonométricas?
En esta pregunta nos encontramos con una sistema geométrico con dos ángulos y un lado conocidos, la configuración permite determinar la altura del faro mediante la ley del seno, cuya expresión sería la siguiente:
AC / sin B = AB / sin C = BC / sin A
Donde BC es la longitud del faro, medida en metros, y AC es la distancia horizontal hasta la base del faro, medida en metros. Si sabemos que AC = 9.9 m, B = 53° and A = 42°, entonces la longitud del faro es:
(9.9 m) / sin 53° = BC / sin 42°
BC = 9.9 m × (sin 42° / sin 53°)
BC ≈ 8.295 m
La longitud del faro es aproximadamente igual a 8.295 metros.
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The common ratio of a sequence is 1/2. Two terms in the sequence are a5=1 and a8=1/8
what is the recursive formula?
Answer:
Since r = 1/2, and the fifth term = 1
1 = A×[(1/2)^(5-1)]
1 = A×[(1/2)^4]
1 = A× (1/16)
Step-by-step explanation:
what's that symbol mean?
Answer:
Every element in B is in B.
Step-by-step explanation:
Solve 14x-7y= 21 for y
A. y = 2x - 21
B. y=-14x + 21
C. y = 14x +3
D. y=2x-3
Answer:D
Step-by-step explanation::
Find the circumference of this circle
using 3 for TT.
C≈ [?]
7
C = 27Tr
Enter
The circumference of the circle with radius 7 and value of pie 3, using the formula C= 2pie r is 42 unit.
Circumference of this circle using 3 for TT and 7 as radius.
The circumference of a circle is the distance around the outside of the circle. It is like the perimeter of other shapes like squares. You can think of it as the line that defines the shape. For shapes made of straight edges this line is called the perimeter but for circles this defining line is called the circumference. There are two other important distances on a circle, the radius (r) and the diameter (d). The radius, the diameter, and the circumference are the three defining aspects of every circle. Given the radius or diameter and pi you can calculate the circumference.
Circumference of circle = π x Diameter of circle.
You can also work out the circumference of a circle if you know its radius. Remember that the diameter is double the length of the radius. We already know that C = πd. If r is the radius of the circle, then d = 2r. So, C = 2πr.
Here, π = 3, r = 7,
So C = 2*7*3 = 42 units.
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write polynomial in simplest form with given zeros 2, 3 √(5),-3 √(5)
how to translate by the rule (x,y)->(x +6,y -3) then reflect image over the y axis
Transformation of Reflect image over the y axis for this equation (x ,y)->(x +6,y -3) is (3, -1)
Reflecting point (-6,1) on y = x
gives (1, -6)
Translating, (1, -6) by 2,5 is
(1 + 2, - 6 + 5) = (3, - 1)
Therefore, reflect image over the y axis translate by rule (x ,y)->(x +6,y -3) is (3, - 1)
transformation :A function, f, itself is called the transformation, i.e., f: X → X. After the transformation the pre-image X becomes the image X. This transformation can be any part or the mixture of operations such as translation, reflection, rotation and dilation. The translation is working a function in a particular direction, rotation is rotate the function to a point, reflection is the mirror image of the function, and dilation is the ascend of a function.
Translation, rotation, reflection, and dilation are the four most prevalent types of transformations. From the transformation, we have a rotation about any point, reflection over any line, and translation along any angle. The picture is congruent to its pre-image in these stiff transformations.. They are also called as isometric transformations. Dilation is performed at about any point of angle and it is non-isometric.
Rules for Transformations
Consider a function f(x). On a coordinate grid, we use the x-axis and y-axis to check the movement. Here are the rules for transformations of function that could be applied to the all graphs of functions. Transformations can be shown algebraically and graphically. Transformations are commonly found in algebraic functions. We can use the formula of transformations in graphical functions to obtain the graph just by transforming the fundamental or the parent function, and thereby move the graph around, rather than tabulating the coordinate values. We can visualize and learn algebraic equations with the aid of transformations.
Formula of Transformations
Let us consider the graph f(x) = [tex]x^{2}[/tex]
Suppose we have need to graph f(x) = [tex]x^{2}[/tex] -3, we shift the vertex 3 units down.
Suppose we have need to graph f(x) = 3 [tex]x^{2}[/tex]+ 2, we shift the vertex two units above and extend vertically by 3 factor
Suppose we have need to graph f(x) = 2(x-1)^2, we shift the vertex one unit to the right and extend vertically by 2 factor
Thus, we know the formula of transformations as
f(x) =a(bx-h) n + k
where k is the vertical shift,
h is the horizontal shift,
a is the vertical stretch and
b is the horizontal stretch
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Four students plan to rent a minivan for the weekend and equally share the rental cost. By adding one more people, they can each save $6. How much is the total rent of the car?
The amount of the total rent is 120 dollars.
How to find the total rent using average?Four students plan to rent a minivan for the weekend and equally share the rental cost.
By adding one more people, they can each save $6.
Therefore, the 4 students equally share the rent.
Hence,
average for 4 student = total amount shared / number of student
average for 4 student = x / 4
When you add one more person,
average for 5 student = x / 5
Therefore, the difference, will give you the total amount of the rent.
x / 4 - x / 5 = 6
5x - 4x/ 20 = 6
x / 20 = 6
cross multiply
x = 20 × 6
x = 120
Therefore, the amount of the total rent is 120 dollars.
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is it true or false?
Answer:
Step-by-step explanation:
False, because the inequality is not less than or equal to 14 it should a bracket instead of paratheses. [3, 14]
Solve the inequality for x.
Show work
Answer:
x > 1
Step-by-step explanation:
to make everything under the same denominator
multiply everything by 2
7x + 1 > 8
now subtract 1 to both sides
7x > 7
divide everything by 7
x > 1
that is your asnwer
1. How much farther is the Earth from
Saturn than it is from Jupiter?
2. Suppose you traveled from Saturn to
Jupiter, and then from Jupiter to Mars.
What would be the total distance?
3. How much closer is Saturn to Jupiter
than it is to Earth?
4. Find the total distance from Mercury to
Earth,
5. Which is closer to Earth, Venus or
Mars? How much closer is it?
6. How much farther is the Earth from
Saturn than it is from Mars?
1) Earth is 403,400,000 miles farther from Saturn than it is from Jupiter.
2) The total distance from Saturn to Jupiter and from Jupiter to Mars is 745,400,000 miles.
3) Saturn is 390,000,000 miles closer to Jupiter than is is to Earth.
4) Total distance from Mercury to Earth is 56,700,000 miles.
5) Venus is 22,300,000 miles closer to Earth than Mars.
6) Earth is 745,000,000 miles farther from Mars than Saturn.
Given,
1) Distance from Earth to Saturn = 793,000,000 miles
Distance from Earth to Jupiter = 390,400,000 miles
793,000,000 - 390,400,000 = 403,400,000
That is, Earth is 403,400,000 miles farther from Saturn than it is from Jupiter.
2) Distance from Saturn to Jupiter = 403,400,000 miles
Distance from Jupiter to Mars = 342,000,000 miles
403,400,000 + 342,000,000 = 745,400,000
Therefore, the total distance from Saturn to Jupiter and from Jupiter to Mars is 745,400,000 miles.
3) Distance from Saturn to Jupiter = 403,400,000 miles
Distance from Saturn to Earth = 793,800,000 miles
793,800,000 - 403,400,000 = 390,400,000
So, Saturn is 390,000,000 miles closer to Jupiter than is is to Earth.
4) Distance from Mercury to Venus = 30,700,000 miles
Distance from Venus to Earth = 26,000,000 miles
30,700,000 + 26,000,000 = 56,700,000
That is, the total distance from Mercury to Earth is 56,700,000 miles.
5) Distance from Earth to Venus = 26,000,000 miles
Distance from Earth to Mars = 48,300,000 miles
48,300,000 - 26,000,000 = 22,300,000
That is, Venus is 22,300,000 miles closer to Earth than Mars.
6) Distance from Earth to Saturn = 793,800,000 miles
Distance from Earth to Mars = 48,300,000 miles
793,800,000 - 48,300,000 = 745,500,000
That is, Earth is 745,000,000 miles farther from Mars than Saturn.
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what is the answer to 114 to 118 in my 7th-grade math?
Answer:
what do you mean like answer to what
Answer:
there's literally no way to answer that
Solve for x.
-6 > 10-8r
Answer:
[tex]r > 2[/tex]
Step-by-step explanation:
1) Rearrange the terms
-6 > 10 - 8r
2) Calculate
8r > 10 + 6
3) Divide both sides
8r > 16
4) Simplify (Cross out the common factor)
[tex]r >[/tex] [tex]\frac{16}{8}[/tex]
5) r > 2
Need help with math problem
The diameter of a basketball rim is 18 inches. What is the circumference of
the rim? Write your answer using T. Show your work.
Answer:
(18")T=56.52
Step-by-step explanation:
t=3.14
Hector is picking out some movies to rent, and he is primarily interested in documentaries and foreign films. He has narrowed down his selections to 11 documentaries and 15 foreign films.
Step 1 of 2 : How many different combinations of 4 movies can he rent?
Hector can have a total of 14950 number of combinations of 4 movies, from his shortlist of 11 documentaries and 15 foreign films, that he can rent.
As per the question statement, Hector has shortlisted 11 documentaries and 15 foreign films, from which he wants to rent any 4 movies.
We are required to calculate the total of number of combinations of 4 movies from his above mentioned shortlist.
Total number of movies Hector has shortlisted = (11 + 15) = 26.
That is, we will have to calculate the total of number of combinations of 4 movies, Hector can rent from a lot of 26 movies.
Now, we need to know the formula of combination which goes as [tex][nCr=\frac{n!}{r!(n-r)!} ][/tex],
When "r" objects are to be selected from a set of "n" objects, such that order of selection does not matter.
Here, (n = 26) and (r = 4), and using these values in the above mentioned equation of nCr, we get
[tex]26C4=\frac{26!}{4!(26-4)!} =\frac{26!}{4!*22!}=\frac{22!*23*24*25*26}{24*22!}=(23*25*26)=14950[/tex]
That is, Hector can have a total of 14950 number of combinations of 4 movies, from his shortlist of 11 documentaries and 15 foreign films, that he can rent.
Combination: In mathematics, combination is a method of selecting items from a set, where the order of selection does not matter.To learn more about Combinations, click on the link below.
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Select the correct answer.
68600
A) 6.86 × 104
C) 0.686 × 10²
B) 0.686 × 10¹
D) 6.86 x 10²
Answer:
A) 6.86×10⁴
Step-by-step explanation:
You want to write 68600 in scientific notation.
Expanded formThe number 68600 can be written in expanded form with exponents as ...
68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰
The left-most term of this sum tells you the exponent in scientific notation:
68600 = 6.86×10⁴
how much bacteria is in the petri dish after 150 minutes
Answer: bacteria 100 in a petri dish
Step-by-step explanation: every 30 min the bacteria doubles
Solve the system of equations.
2x-5y-2z= -2
6x-15y-6z=20
2x-2y-5z = 4
Answer:
No solution
Step-by-step explanation:
2x-5y-2z= -2
6x-15y-6z=20
2x-2y-5z = 4
3rd eq - 1st eq
3y - 3z = 6
2nd eq - 3 × 1st eq
0 = 26
This is a false statement. Therefore, there is no solution.
Answer: No solution
Six workers can build a house in 30 days. Assuming that all of the workers work at the same rate, how many workers would it take to build a house in 10 days?
A city in the Pacific Northwest recorded its highest temperature at 77 degrees Fahrenheit and its lowest temperature at 24 degrees Fahrenheit for a particular year. Use this information to find the upper and lower limits of the first class if you wish to construct a frequency distribution with 10 classes.
A. 24-29
B. 24-30
C. 24-28
D. 19-29
The upper and the lower limits of the class that we have here would be A. 24-29
How to find the upper and the lower limits of the classWe have to find the range of the temperature
This is given as maximum - minimum
= 77 - 24
= 53
width = range / n
width = 53 / 10
= 5.3
The approximate width can be given as 5.
The upper class would be the lower class + width
= upper class = 24 + 5 = 29
Hence the limit of the classes would be given as
A. 24-29
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