Step by step solution :Step 1 :Equation at the end of step 1 : (((3•(x2))•(y4))3) 4•—————————————————— ((2x3•(y5))4) Step 2 :Equation at the end of step 2 : ((3x2 • (y4))3) 4 • ——————————————— 24x12y20 Step 3 : 33x6y12 Simplify ———————— 24x12y20 Dividing exponential expressions :
3.1 x6 divided by x12 = x(6 - 12) = x(-6) = 1/x6
Dividing exponential expressions :
3.2 y12 divided by y20 = y(12 - 20) = y(-8) = 1/y8
Equation at the end of step 3 : 27 4 • —————— 16x6y8 Step 4 :Final result : 27 ————— 4x6y8
The simplified expression is [tex]27/(16x^6y^8).[/tex]
We have,
To simplify the expression [tex]4(3x^2y^4)^3 / (2x^3y^5)^4,[/tex] we can simplify each part separately and then divide.
Let's simplify the numerator first:
[tex](3x^2y^4)^3 = 3^3 * (x^2)^3 * (y^4)^3 = 27x^6y^{12}[/tex]
Now, let's simplify the denominator:
[tex](2x^3y^5)^4 = 2^4 * (x^3)^4 * (y^5)^4 = 16x^{12}y^{20}[/tex]
Now we can divide the numerator by the denominator:
[tex](27x^6y^{12}) / (16x^{12}y^{20})[/tex]
To divide the variables with the same base, we subtract their exponents:
[tex]27/16 * x^{6-12} * y^{12-20}[/tex]
Simplifying further:
[tex]27/16 * x^{-6} * y^{-8}[/tex]
To make the exponents positive, we can move the variables with negative exponents to the denominator:
[tex]27/(16x^6y^8)[/tex]
Therefore,
The simplified expression is [tex]27/(16x^6y^8).[/tex]
Learn more about expressions here:
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I need an explanation on this on why it’s that answer, plz help thx✌I need help plzzzz
The total cost of renting a cement mixer is given by the graph below.
The total cost of renting a forklift is given by the equation y = 30x + 30.
Which item has a higher initial/starting fee that must be paid no matter how many days it is rented for in order to rent it?
Answer:
The cement mixer
Step-by-step explanation:
When x is 0 for the cement mixer, y is 40,
While when x is 0 for the forklift, y is only 40
which does not represent two equivalent expressions 51 MAFS.6.EE.1.1 Which does not represent two equivalent expressions?
A.) 33=3·3·3
B.) 43=4·3
C.) 64=6·6·6·6
D.) 52=5·5
Answer: B
Explanation: 4 times 3 is equivalent to 12 and the question was asking for exponents. A has 3 multiplied by itself 3 times so that is correct. C has 6 multiplying itself 4 times so that would be correct. D has 5 Multiplying itself 2 times so that would be correct. The only one that does not represent equivalency would be B.
Write the phrase as an algebraic expression:
The quotient of 15 and w less z.
Answer:
z>15+w
Step-by-step explanation:
Y = 4x + 9
What is the slope and the y-intercept?
Answer:
y=4x+9 is in the form y=mx+b , so the slope ( m ) is 4 and the Y-intercept ( b ) is 9
Answer:
m = 4b = 9Step-by-step explanation:
We know that:
y = mx + by = 4x + 9If we compare these two equations, we can find the slope and the y-intercept.
=> (y = mx + b) = (y = 4x + 9)
We can clearly see that 'm = 4' and 'b = 9'.
Conclusion:
Therefore:
m = 4b = 9Hoped this helped.
What is the scale factor?
Answer:
3
Step-by-step explanation:
the second figure is 3 times larger than the first
a ÷ (2 + 1.5) for a = 14
answer the problem, this is 6th grade work
6 first-year teachers and 4 experienced teachers attended a school staff meeting meeting. What percentage of the teachers in the meeting were first-year teachers?
7x + 1039 = 245x
Please help!
Answer:
x = 4.37
Step-by-step explanation:
7x + 1039 = 245x=> 1039 = 238x=> x = 4.36554621849 (Using calculator)=> x = 4.37 (Estimated)Conclusion:
Therefore, x = 4.37.Hoped this helped
[tex]GeniusUser[/tex]
Answer:
[tex]\frac{1039}{238}[/tex]
Step-by-step explanation:
7x + 1039 = 245x
Minus the smallest x from the largest.
1039 = 245x - 7x
1039 = 238x
Divide 1039 by 238x to find the x
[tex]\frac{1039}{238}[/tex] = x
If , what is the value of the expression ?
A.
B.
C.
D.
E.
Answer:
im pretty sure its 6
Answer: below
B: 6!
Step-by-step explanation:
Substitute the 8 for d evaluate:
4 + 2 = 4 + 8/2 = 4 + 4= 8
Answer:
[tex]\frac{4+d}{2} = \frac{4+8}{2} = \frac{12}{2} = 6[/tex]
:)
A proportional relationship between the number of pounds of potatoes x and the price in dollars y is graphed and the ordered pair 4, 3 is on the graphed line
Part a: what is the price of 1 pound of potatoes show your work
Part b: what does the ordered pair 8,6 on the graph represent? Explain in words.
Answer:
A proportional relationship between the number of pounds of potatoes (x) and the price in dollars (y) is graphed, and the ordered pair (4, 3) is on the graphed line. Part A: What is the price of 1 pound of potatoes? Show your work, including the proportion you used to determine the price. (8 points) Part B: What does the ordered pair (8, 6) on the graph represent? Explain in words. (2 points)
The point (4,3) means that 4 lbs. of potatoes = $3. Therefore, we have:
4 lbs / $3 = 1lb / x cross-multiply
4x = 3 divide by 4
x = 3/4 dollars = $.75 per pound
The point (8,6) means that 8 lbs. of potatoes = $6.
Step-by-step explanation:
When should Estimation not be used?
A. When adding many numbers mentally
B. When subtracting large numbers mentally
C. when finding the exact amount
Answer: c
Step-by-step explanation:
Please plot this linear equation on a graph, and also explain how to plot it.
[tex]y=3x-7[/tex]
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day.
We can solve this equation in a single step, we just need a bit of theory and a graph.
We can first see that its in [tex]y=mx+b[/tex] form. Which is also known as Slope-Intercept form.
This means that we know the following.
[tex]b[/tex] is the y coordinate of the y intercept.[tex]m[/tex] is the slope of the line.Since we know that, we can see that from our equation that the slope of the line is 3 and the y intercept is (0,-7).
Now that we've gotten that, we can start graphing.
The y intercept is -7 so we can plot (0,-7) as one of our points.
The slope of 3 means that we got up 3 units then right a single unit.
Therefore, another point could be (1,-4).
With our two points, we can create our graph by creating a straight line through those two points and therefore plotting our line.
Cheers!
Answer:
Step-by-step explanation:
y = 3x - 7 is a linear equation with y-intercept -7 (or (0, -7) ) and slope 3. These two quantities are instantly readable from the equation.
There are several ways in which we may graph this equation. One is to plot the y-intercept (0, -7) Then choose an x-value, such as 3, and evaluate the function at that x value. We see that y = 9 - 7, or y = 2, when x = 3. Then another point on the graph besides (0, -7) is (3, 2). Plot (3, 2) and then draw a line through the two plotted points.
Here's another way:
The slope here is 3, or 3/1, which represents rise / run. Plot (0, -7) as before.
Move your pencil from (0, -7) 1 space to the right and 7 spaces up. Then plot a new point at that location. Draw a line through (0, -7) and (1, 0).
75x + 50 = 600
What is x
Answer:
x = 7.333Step-by-step explanation:
75x + 50 = 600=> 75x = 600 - 50=> 75x = 550=> x = 550 ÷ 75=> x = 7.33Conclusion:
Therefore:
x = 7.333Hoped this helped.
[tex]GeniusUser[/tex]
Answer:
[tex]7\frac{1}{3}[/tex]
Step-by-step explanation:
So for this problem, we want to solve for x
75x + 50 = 600
First, we isolate x by subtracting 50 from both sides.
75x + 50 - 50 = 600 - 50
75x = 550
Then we divide both sides by 75 to find x
75*x/75=550/75
[tex]x=7\frac{1}{3}[/tex]
Help please quickly. please thanks you
Answer:
ok so you see the explanation you need to do the number by the numbertep-by-step explanation:
yuhhhhhhh
ISSS THISSSSSS RIIGHTTTTTT
Answer:
It's A and C
Step-by-step explanation:
when you multiply by a fraction it's the same as dividing it by 2 or 4 in this case. which would make A and C much less and B and D.
your answer would be A and C
A.) 1/4 × 6,766 = 1,691.5
C.) 1/2 × 6,766 = 3,383
Regina can purchase packets of tea in four sizes. Which size is the best buy?
9-lb packet for $12.75
2-lb packet for $4.34
7-lb packet for $9.45
4-lb packet for $6.26
PLZ help, i'm on a test
Answer:
7 lb for $9.45
Step-by-step explanation:
12.75 / 9 = 1.42
4.34 / 2 = 2.17
9.45 / 7 = 1.35
6.26 / 4 = 1.57
The lowest answer is 7 lb for $9.45
What is the absolute value? What symbol represents absolute value?
Answer:
Absolute value is the distance the number away is from 0. In simpler terms, if you had a -8 the absolute value is 8. I attached a picture of the absolute value symbols. The absolute value of a normal positive 8 is still 8 though because it's the same distance on a number line.
WILL GIVE BRAINLIEST LIKE FIVE HEARTS THE WHOLE SHEBANG
The graph shows how many bottles a machine caps in a certain number of seconds.
Part A
What is the constant of proportionality, and what does it mean in this situation?
Use the drop-down menus to show and explain your answer.
The constant of proportionality is
Choose...
; the machine caps
Choose...
bottles in
Choose...
.
Point Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q?
"On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 40, negative 30."/>
On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 40, negative 30.
Point R is at (−40, 30), a distance of 60 units from point Q
Point R is at (−40, −10), a distance of 20 units from point Q
Point R is at (−40, −30), a distance of 60 units from point Q
Point R is at (−40, 10), a distance of 20 units from point Q
Answer:
Point R is at C
Step-by-step explanation:
Answer:
answer 2 is the correct one!
Point R is at (−40, −10), a distance of 20 units from point Q
Hope this helps!
Please mark this brainliest
27 percent of the class prefers barbecue chips 2 regular potato chips. If there are 100 students in the class how many students do not prefer barbecue chips
Answer:
73
Step-by-step explanation:
What is the distance between the points? Round to the nearest tenth if necessary.
Answer:
1.7
Step-by-step explanation:
You do rise over run or y/x to find your answer. You go over 6 and up 10 to get from the lower point to the one on top. 10/6=1.666667 and rounded will be 1.7
193 miners need to ride the elevator to the bottom of the mine. The elevator can hold 7 miners at a time. How many miners will be in the elevator on its last trip?
Answer:
4
Step-by-step explanation:
193/7=27 with a remainder of four.
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
There are total of 193 mimers and each time the elevator can carry 7 miners, now divide the numbers and the remainder ww get gives the number of people left at last, that is also equal to the number of miners in the last trip since they are the last group among them.
[tex] \sf193 \div 7[/tex]On dividing, we get quotient = 27 and remainder as 4
therefore, 28th trip will be the last trip carrying 4 miners.
I hope that helps ~
Hmm, What is the answer?
PLEASE HELP ME!!!
Answer:
y = kx.
Step-by-step explanation:
A proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.
Answer:k=yx
Step-by-step explanation:
Ahyoka has 250 CDs 10 percent are country,70 percent are pop, and the rest are hip-hop how many CDs are hip-hop?
Answer: their are 50 hip hop CDs
Step-by-step explanation: 10% of 250 CDs is 25CDs, so 20 % is 50 CDs and 70% is 175 CDs.
Tawny breaks apart 9 to
solve 9 X 5. Show one way
Tawny can do this. Then solve the problem.
GAME SHOW GET READY... WHOEVER ANSWERS CORRECT GETS BRAINLIST
Which expression gives the best estimate of 30 percent of 61?
1/5 (60)
1/10 (60)
1/4 (60)
1/2 (60)
Answer:
1/2 (60)
Step-by-step explanation:
Answer:
1/2 (60)
Step-by-step explanation:
pls help me it due today
Answer:
[tex]3t - 8 = -5t\\\\6w / x + 9 = 6w / 9x\\ t^2 - 12w / x = t^2 - 12w\\5x - 2w + t = 5x - 2wt\\\\824 / 4 = 206\\360 / 9 - 22 = 16\\16.8 - 2.4 = 14.4\\9.85 * 4 = 39.4\\\frac{2}{3} / 12 = 0.055\\3 + 4 - 3 = 4[/tex]
Step-by-step explanation:
hope this helps.
Please answer quick its math
Answer:
A = bh
10.5 = .75h
h = 14 inches
Help plz:
11. Solve the following equations:
a. 5(x - 4) = 10
b. 2x(4x + 3x) = 21
c. 3(4 - 2x) = 28
d. 10x(2 + 13) = 300
a ) x is 6
b ) x is 1.5
c ) x is 16/6
d ) x is 2
Answer:
A is 10
B is 14
C is 6
I can't figure out D.
This is the best I got.