Answers
Answer:
The simplified expression is:
[tex]\frac{3^9y}{2\times \:81}=\frac{243y}{2}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{3^9\times \:y}{2\times 81}[/tex]
solving the expression
[tex]\frac{3^9\times \:y}{2\times 81}=\frac{3^9y}{162}[/tex]
[tex]=\frac{3^9y}{3^4\times \:2}[/tex] ∵ [tex]162=3^4\times \:2[/tex]
[tex]=\frac{3^5y}{2}[/tex] ∵ [tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]=\frac{243y}{2}[/tex] ∵ [tex]3^5=243[/tex]
Therefore, the simplified expression is:
[tex]\frac{3^9y}{2\times \:81}=\frac{243y}{2}[/tex]
Related Questions
Please answer this correctly, and you'll recieve brainliest.
Answers
Answer:
The first one. The square is bc the diamond is actually a square just switching it's placement. SO IT OS THE FIRST ONE
What is the value of x?
Answers
Answer:
x = 146°
Step-by-step explanation:
(all angles in a triangle add up to 180°)
180 - 115 - 31 = 34
(supplmentary angle)
180 - 34 = 146°
20 points, and if you're right I'll give you big brain lol, graph too please!
Answers
Answer:
The correct answer would be A I believe
two customers went to a dry cleaners to get clean their shirts and pants. Each shirt cleaning costs the same amount, and each pants cleaning costs the same amount. The first customer paid $30.00 for 5 shirt cleanings and 3 pants cleaning. The second customer paid $29.00 for 3 shirt cleanings and 4 pants cleaning. What was the cost, in dollars, of each shirt cleaning?
Answers
Answer:
$3.00
Step-by-step explanation:
5x + 3y = 30 - - - - - 1 x 4
3x + 4y =29 - - - - - -2 x 3
--------------------------------------------
20x +12y = 120 - - - - 3
9x + 12y = 87 - - - - - 4
--------------------------------------------
3-4
20x - 9x= 120 - 87
11x = 33
X= 33
11
X = 3
The cost of cleaning each shirt is 3 dollars.
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Assuming the cost of cleaning 1 shirt is x and the cost of cleaning 1 pant is y.
The first customer paid $30.00 for 5 shirt cleanings and 3 pants cleaning.
∴ 5x + 3y = 30...(i)
The second customer paid $29.00 for 3 shirt cleanings and 4 pants cleaning.
∴ 3x + 4y = 29...(ii)
Now to cancel out 'x' in both equations we multiply eqn(i) by 3 and eqn(ii) by 5.
So, 15x + 9y = 90...(iii) and 15x + 20y = 145...(iv)
Now subtracting (iii) from (iv) we get 11y = 55 ⇒ y = 5 and substituting the value of y in eqn(iv) we get x = 3.
The cost of cleaning each shirt is 3 dollars.
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Multi Step equations 11x+4=37
Answers
the difference bettween 2x and 3
Answers
Answer:
-6
Step-by-step explanation:
Answer:
3 is a whole number but 2x is 2 multiplied by a variable
Molly read 50 out of the 200 pages in her fiction book. Joel is also reading a fiction book, but his book has 280 pages in total. If Joel reads x pages such as the ratio of pages he read is a equivalent to the ratio of pages molly has read, find the value of x.
Answers
Answer:
[tex]x = 70[/tex]
Step-by-step explanation:
Given
Molly: 50 out of 200
Joel: x out of 280
Required
Find x
Start by representing the giving parameters as ration
Molly= 50 : 200
Joel = x : 280
From the question, the ratios are equivalent. So,
[tex]50 : 200 = x : 280[/tex]
Convert to fractions
[tex]\frac{50}{200} = \frac{x}{280}[/tex]
Solve for x
[tex]x = \frac{50}{200} * 280[/tex]
[tex]x = \frac{1}{4} * 280[/tex]
[tex]x = \frac{280}{4}[/tex]
[tex]x = 70[/tex]
A restaurant has 26 tables in its dining room. It takes the waitstaff 10 minutes to clear and set 4 tables. At this rate, how long will it take the waitstaff to clear and set all the tables in the dining room? please hurry
Answers
Answer: 65 minutes
Step-by-step explanation: 26 / 4 = 6.5
6.5 tables per 10 minutes so 6.5 x 10 = 65 min
Answer:
1 hr and 5 minutes
Step-by-step explanation:
here's why... because 4 goes into 26 6 times with a remainder of 2 and there is 5 mins for every 2 tables and 6 times 10 is 60 which equals a hour and that will be a hour and 5 mins
Which representation does NOT show Y as a function of X?
Answers
Answer:
D
Step-by-step explanation:
A function is valid if each x input has a different y counterpart
In picture D both 3 and 5 repeat --> (3,2)(2,6) and (5,6)(5,8)
This would create an undefined line that would fail the vertical line test (multiple x values on one y value)
omg I WILL MARK BRANLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! THIS IS DUE TODAY
PLZ HELP
Answers
Answer:
A
Step-by-step explanation:
Its the first letter of the English alphabet
Answer:
Please give more context to what you desire help for.
If x = 45, solve for y y = 5/9 x
Answers
Answer: Let's solve your equation step-by-step.
yy=59(45)
Answer:
y=5 or y=−5
Answer:
y = 25
Step-by-step explanation:
y = 5/9 x, x = 45
y = 5/9 × 45
y = 5 × 5
y = 25
what is 4h-8h simplified
Answers
Answer:
it is -4h
step-by-step explanation:
What is the vertex for the equation f (x) = 6(x – 10)2 – 4?
Answers
Answer:
(10, -4)Step-by-step explanation:
The vertex form of the equation of quadratic function with vertex (h, k) is:
f(x) = a(x - h)² + q
f(x) = 6(x - 10)² - 4 - given function
so:
a = 6, h = 10, q = -4
2. Solve for x given given the following
Answers
Answer:
Step-by-step explanation:
Since the triangles are equivalent,
3x - 2 = 5
Solve for x.
3x = 7
x = 7/3
is Jerome's brother correct?
Answers
Answer:
No he is not the 3+3 is incorrect and the 3+2 is incorrect everything after 3+1 is wrong because 3+1=4 correct 3+2 =6 incorrect 3+3=9 incorrect and so on
Step-by-step explanation:
Answer:
The table is wrong its + not x
Step-by-step explanation:
A plant cell has a length of 0.000085 what is it’s scientific notation
Answers
Answer:
8.5×10^-5
Step-by-step explanation:
What is the equation of the line in slope-intercept form that passes through the point (1,8) and is PARALLEL to line y =
4x - 72
Answers
Answer:
y=4x+4
Step-by-step explanation:
substiute the 1 for the y and the 8 for the x in the form (8=4*1+b)
subtract for so it cancels out on the right and leaves you with 4 on the left equals b on the right.
I need help with these questions ( see image for question ).
Please show working.
Answers
Answer:
k = -4 ± 2√5Step-by-step explanation:
#22
Given Equation x² -4x + 1 = k(x - 4) with equal rootsTo findThe value of kSolutionThe equation in standard form is:
x² -4x + 1 = k(x - 4)x² - 4x - kx + 1 + 4 = 0x² - (k + 4)x + 5 = 0When the quadratic equation has equal roots its discriminant is zero
D = 0b² - 4ac = 0(k + 4)² - 4*5 = 0(k + 4)² = 20k + 4 = ± √20k = - 4 ± √20ork = -4 ± 2√5I am doing a science project and need a fun or short title. The project is on whether filtered water affects plant growth. Any creative title ideas? Will give brainliest for best one!
Answers
Heres an idea, ask if you need more :)
Step-by-step explanation:
I Wet My Plants: The Effect of Different Types of Water on the Growth of Plants
Solve one fifth ÷ 3 = ___.
a one seventh
b one eighth
c one tenth
d one fifteenth
Answers
Answer:
1/5 divided by 3 is 1/15
Step-by-step explanation:
Answer:
D. one fifteenth
Step-by-step explanation:
2.
Which arc is a major arc?
POR
PSQ
PQ
SO
Answers
Answer:
your right
Step-by-step explanation:
Is the order pair 1,2 2,4 3,8 4,16 a function if yes then why
Answers
what about two and nine hundredths?
Answers
Answer:
2.09 is the answer now what
Solve the question 35>-5(4-x)
Answers
Answer:
x < 11
Step-by-step explanation:
35 > -5(4 - x)
35 > -20 + 5x
55 > 5x
x < 11
Topic: Inequalities
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
QUESTION ONE Solve for x.
Answers
Answer:
X = 144
Step-by-Step Explanation
Pls help I will give brainliest . The answer choices are
x=45, y=90
x=45, y=25
x=57, y=25
x=57, y=90
Answers
Answer:
The answer is B
Step-by-step explanation:
Answer:
C. x = 57, y = 25Step-by-step explanation:
∠LKU = 1/2∠EKU ⇒ ∠LKU = 1/2(90°) = 45°
(x - 12)° = 45°x = 57°∠KCE = 90° as diagonals of a square are perpendicular
(4y - 10)° = 90°4y = 100°y = 100°/4y = 25°Correct option is C. x = 57, y = 25
To rent a boat, you pay for an initial fee plus. John rented a boat for 3 hours and paid $41. Jessica rented a boat for 6 hours and paid $77.
Answers
Answer:
The intial fee is $5
The equation to represent this is: y=12x+5
12 is the cost per hour x=hours y=total cost
Step-by-step explanation:
77-41=36
36/3=12
12*6=72
77-72=5
Which types of triangles can have three angles that measure less than 90°?
acute triangle
equilateral triangle
a right triangle
isosceles triangle
Answers
Answer:
acute angle
Step-by-step explanation:
acute = angles that are less than 90⁰
The triangles which have three angles that measure less than 90° are:
acute triangle, equilateral triangle
What is acute triangle?"An acute triangle is a triangle with three acute angles that means each angle measures less than 90°."
What is an equilateral triangle?"An equilateral triangle is a triangle where all sides and angles are equal. Each angle of an equilateral triangle measures 60°. "
What is a right triangle?"A right triangle is a triangle where one of the angle measures 90°. "
What is an isosceles triangle?"A triangle that has two sides of equal length is called as an isosceles triangle. Also, two angles that are opposite to equal sides are always equal and measures less than 90°. "
For given question,
As one of the angle of right triangle measures 90°, it is not a required triangle.
Also, for isosceles triangle, although two equal angles measure less than 90°, the third angle can be 90°. So, an isosceles triangle is not a required triangle.
Therefore, the triangles that have three angles that measure less than 90° are:
1) acute triangle
2) equilateral triangle
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An arithmetic sequence is represented by the recursive formula A(n) = A(n-1) + 8. If the first term in the sequence is 4, write the explicit formula
Answers
Answer:
A(n) = 4 + 8(n-1)
Step-by-step explanation:
A(n) = A(n-1) + 8
A(1) = 4
So A(2) = A(1) + 8 = 4 + 8
A(3) = A(2) + 8 = A(1) + 8 + 8 = 4 + 8 + 8
A(n) = 4 + 8(n-1)
The explicit formula for the arithmetic sequence with the given recursive formula A(n) = A(n-1) + 8 and the first term A(1) = 4 is A(n) = 8n - 4.
Given that the first term (A(1)) is 4, we can observe that each subsequent term is obtained by adding 8 to the previous term.
The general formula for an arithmetic sequence is A(n) = A(1) + (n-1)d, where A(n) represents the nth term, A(1) is the first term, n is the term number, and d is the common difference.
The first term (A(1)) is 4, and the common difference (d) is 8.
Plugging these values into the general formula, we have:
A(n) = 4 + (n-1)×8
A(n) = 4 + 8n - 8
A(n) = 8n - 4
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A particular map shows a scale of 2 cm: 8 km. What would the map distance (in cm) be if the actual distance is 64 km?
Answers
Answer:
16cm
Step-by-step explanation:
Step one:
given
the scale of the map
[tex]2 cm: 8 km.[/tex]
Step two:
so if a scale of 2 cm represents 8 km.
then let xcm be 64km
cross multiply we have
[tex]x*8= 64*2[/tex]
8x= 128
divide both sides by 8
[tex]x= 128/8\\\\x=16cm[/tex]
The map distance is 16cm