=========================================================
Explanation:
Think of x^4y as x^4y^1. When we raise this to the third power, we multiply the outer exponent 3 by each inner exponent
x^4 turns into x^12
y^1 turns into y^3
-----------
This is one way to show your work
(x^4y)^3
(x^4y^1)^3
x^(4*3)*y^(1*3) ... multiplying outer exponent by each inner exponent
x^12y^3
-----------
A more lengthy way to get the answer is to write x^4y out three times multiplying by itself that many times. The outer exponent 3 tells us we will have three copies of x^4y multiplied with itself.
(x^4y)^3 = (x^4y)*(x^4y)*(x^4y)
(x^4y)^3 = (x^4*x^4*x^4)*(y*y*y)
(x^4y)^3 = ( x^(4+4+4) ) * ( y^(1+1+1) )
(x^4y)^3 = x^12y^3
is (1,8) a solution of the equation 3x + 5 = y ?
A True
B False
Answer:
A.
Step-by-step explanation:
Plug it in:
3 + 5 = 8
TRUE
9y + 6 + 2(5 + y) = blank y + blank
Answer:
11y+16Solution,
[tex]9y + 6 + 2(5 + y) \\ = 9y + 6 + 10 + 2y \\ combine \: like \: terms \\ = 9y + 2y + 6 + 10 \\ simplify \\ = 11y + 16[/tex]
hope this helps...
Good luck on your assignment..
Answer:
11y+16
Step-by-step explanation:
9y+6+2(5+y)=
9y+6+10+2y=
Combine like terms
11y+6+10=
11y+16
Please I need help
With this question thank you for your help me
Answer:
Using CPCTC we can derive that WM = 8 and OL = 10.
Onsider the enlargement of the triangle with a scale factor of 8 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Side A corresponds with a side with length of 2 centimeters. Side A = 2(8) = 16 cm. What is the length of side B?
Answer: Incomplete question
Step-by-step explanation: The question does not provide a diagram, and that makes it difficult to determine which side is labelled as B. Nevertheless I will give you clues to help you answer your question by explaining this topic which is SIMILAR TRIANGLES.
When you have been given two triangles with a scale factor, the scale factor is an important part of answering the question eventually.
Consider a triangle which I shall call triangle 1, with sides abc and another triangle ABC, which I shall call triangle 2. The scale factor is 8, which means triangle 1 can be enlarged into a similar triangle by simply multiplying any corresponding side by 8. Hence, if in triangle abc, you have a side that measures 8 centimetres, the corresponding side in triangle ABC would be 8 times 8 which equals 64 centimetres.
The question states that side A corresponds with a side measuring length 2 centimetres. That means side A is derived as 2 times 8 which equals 16 centimetres, as explained above (and as shown in the question). Therefore side B which is yet unknown shall also be the corresponding side in triangle 1 multiplied by 8.
Since the corresponding side was not stated, I shall assume for the sake of explanation that the corresponding side is 10 centimetres. That means, side B would now be derived as 10 times 8 which equals 80 centimetres.
These can be expressed mathematically as follows;
If A = 16, a = 2 and b = 10 then B would be calculated as follows;
A/a = B/b
16/2 = B/10
By cross multiplication, you now have
16 * 10 = 2 * B
160/2 = B
80 = B
Following these steps along with the explanations, the length of side B can be derived if the value of its corresponding side is given or a diagram is provided.
Answer:
its 40 because the dude above is an but face (sorry) (not sorry u suk)
Step-by-step explanation:
welcum
Eduardo had 18 candies. 2/3 of the candies were butterscotch discs. How many were butterscotch discs?
Answer:
is 12
Step-by-step explanation:
2/3=18
18:3= 6
6 x 2=12
[tex]answer \\12 \\ solution \\ \\ \frac{2}{3} \times 18 \\ = 12 \\ \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
PLZZZ HLPPP MEEE The S's in the SSS Similarity theorem states that two triangles are similar if they have ___________ proportional sides
Answer:
3
Step-by-step explanation:
SSS similarity states that all 3 sides must be proportional for the triangles to be similar
4. Al restar 5 x ᶺ 2 – 8 x + 9 con – 9 + 16 x – 25 x ᶺ 2 se obtiene como resultado (Procedimiento)
Step-by-step explanation:
SE RESTAN ENTRE LOS NÚMEROS QUE TIENEN LA MISMA VARIAVLE.
[tex](5x^{2} + 25x^{2})[/tex] - (8x - 16x) + (9 + 9) = [tex]30x^{2}[/tex] - 24x + 18
The radius of a circle is 7.1 cm. Find the circumference to the nearest tenth.
Answer:44.61?
Step-by-step explanation:
Jasmine is traveling at 45 miles per hour. At that same rate, how long will it take her to travel 135 miles?
1. 1/3 hours
2. 3 hours
3. 3.5 hours
4. 5 hours
Answer:the answer is 2 it will take jasmine 3hrs to travel 135 miles
Step-by-step explanation:
Write an equation for the line that is parallel to the given line and that passes through the given point. y= 1/2x - 8; (-6,-17)
Answer:
y = x/2 -14
Step-by-step explanation:
Since the lines are parallel, their slopes are equal
For the first line, we have
y = 0.5x -8
so comparing this with the standard form y = mx + c
Our m is the slope which is 0.5 here
kindly recall that 1/2 is same as 0.5
so the slope of the line we want to form also is 0.5
Now, we use the point slope form to find the equation of this new line
Mathematically that would be;
y-y1 = m(x-x1)
So;
y-(-17) = 0.5(x-(-6)
y + 17 = 0.5(x + 6)
y + 17 = 0.5x + 3
y = 0.5x + 3-17
y = 0.5x -14
or y = x/2 -14
Onesimus bought a phone for $ 75 and signed up for a single-line phone plan with 2000 monthly anytime minutes. The cost of the plan was $ 124.36 per month. Calculate the cost for 21 months assuming that the number of minutes does not exceed 2000 per month
Answer:
cost for 21 months without considering cost of phone is $2,611.56
Total cost inclusive of cost of phone = $2,686.56
Step-by-step explanation:
cost of 2000 monthly anytime minutes plan = $ 124.36
So , in 1 month cost for given plan = $ 124.36
we have to find cost for 21 month
In 21 month, cost for given plan = 21 * cost of 1 month plan
In 21 month, cost for given plan = 21 * $ 124.36 = $2,611.56
cost for 21 months is $2,611.56.
Note, this cost is without considering the cost of phone as it is not mentioned cost of phone is to be included or not.
In case cost of phone is included then
Total cost inclusive of cost of phone = $2,611.56 + $75 = $2,686.56
Attachment Mathswatchhhh!!!!!!!!! answer only no explanation
Answer:
y= -7/-4/-1/2/5/8
Step-by-step explanation:
Answer:
-7, -1, 8
Step-by-step explanation:
substitute the numbers in the equation given:
1) y=3x-1
y=3(-2) -1
y=-6 -1
y=-7
2)y=3x-1
y=3(0) -1
y=0-1
y=-1
3) y=3x-1
y=3(3) -1
y=9-1
y=8
−38d−57≥−19d+76 i need this asap
The height of a tower on a scale is 14 centimeters. The scale is 2 cm: 13m. What is the actual height of the tower?
Answer: The actual height of the tower is 91m
[tex]\frac{14}{x}=\frac{2}{13} \\x=\frac{14\times13}{2} \\x=91 m[/tex]
The actual height of the tower is 91 m.
What is scale?An indication of the relationship between the distances on a map and the corresponding actual distances.
Given that, The height of a tower on a scale is 14 centimeters. The scale is 2 cm: 13 m.
Since, 2 cm = 13 m
1 cm = 13 /2 m
Therefore, 14 cm = 14 × 13/2 = 91 m
Hence, the actual height of the tower is 91 m.
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What is the following product? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0
StartRoot 5 x Superscript 8 Baseline y squared EndRoot times StartRoot 10 x cubed EndRoot times StartRoot 12 y EndRoot
3 x Superscript 5 Baseline y StartRoot 3 x y EndRoot
10 x Superscript 5 Baseline y StartRoot 6 x y EndRoot
3 x cubed y StartRoot 3 x squared y squared EndRoot
10 x cubed y StartRoot 6 x squared y squared EndRoot
[tex]answer \\ = 10 {x}^{5} y \sqrt{6xy} \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps[/tex]
The product of the given expression is;
B: 10x^(5) • y√(6xy)
Laws of ExponentsWe are given the expression;
√(5x^(8) • y²) × √(10x³) × √(12y)
Now, according to laws of exponents, we know that; √(a⁴) × √(b³) = √(a⁴ × b³)
Thus, our given expression will be;
√(5x^(8) • y²) × √(10x³) × √(12y) = √[(5x^(8) • y²) × (10x³) × (12y)]
Collecting like terms, we will have;√[(5x^(8) × 10x³) × (y² × 12y)]
This now gives;√(50x¹¹ × 12y³)
>> √(600x¹¹y³)
Now, further break down of this gives;
10x^(5) • y√(6xy)
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Convert the fraction
103
7497
to an equivalent percentage.
Report your answer accurate to one decimal place.
Answer:
1.4
Step-by-step explanation:
We need to convert 103/7497 into a percentage.
All we have to do is multiply the fraction by 100:
103/7497 * 100 = 1.37
To one decimal place, the equivalent fraction is 1.4
Which expression is represented by the number line?
A number line going from negative 4 to positive 4. An arrow goes from negative 2.5 to negative 1, from 0 to 3, and from 3 to negative 2.5.
3 – 5.5 – 1.5
3 – 5.5 + 1.5
3 – 2.5 – 1
3 – 2.5 + 1
Answer:
3 – 5.5 + 1.5
Step-by-step explanation:
The number line described above is 3 – 5.5 + 1.5
Starting from our midpoint '0'
It moves 3 units to the right direction = +3
Then from that point '+3', it moves to '-2.5' which is 5.5 units to the left = -5.5. Then finally moves from '-2.5' to to '-1' which is 1.5 units towards the right direction = +1.5
Therefore, we finally have ;
+3 - 5.5 + 1.5
Answer:
B) 3 - 5.5 + 1.5
rewrite 5√4 * √2 as a single radical.
Answer:
the 2nd
Step-by-step explanation:
[tex] \sqrt[5]{4} \times \sqrt{2 } \\ {4}^{ \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{2 \times \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{ \frac{2}{5} + \frac{1}{2} } \\ {2}^{ \frac{9}{10} } = \sqrt[10]{ {2}^{9} } [/tex]
Answer:
The next answer is 6x^4
Step-by-step explanation:
anyone can help me figure this out ?
Answer:
The inverse is 1/4x
Step-by-step explanation:
f(x) = 4x
y = 4x
Exchange x and y
x = 4y
Solve for y
Divide each side by 4
1/4x = 4y/4
1/4x = y
The inverse is 1/4x
Answer:
y=(1/4)*x
Step-by-step explanation:
to inverse set f(x)=4x
as y=4x
next, change places y and x
4y=x
now, solve for y
4y=x
y=(1/4)*x
In the given figure, values of x and y, are 1. 40°, 25° 2. 30°, 40° 3. 30°, 20° 4. 40°, 35°
Answer:
1. 40°, 25°
Step-by-step explanation:
The sum of opposite angles of a quadrilateral inscribed in a circle is 180°.
2x + 4 + 4y - 4 = 180
x+ 10 + 5y + 5 = 180
2x + 4y = 180
x +5y + 15 = 180
x + 2y = 90
x + 5y = 165
x = 90 - 2y
x = 165 - 5y
90 - 2y = 165 - 5y
5y - 2y = 165 - 90
3y = 75
y = 25
x = 90- 2y = 90 - 2*25 = 40
x= 40, y = 25
Investigate the relationship between the T-total and the T-number.
Answer:
feed me brainly points
Step-by-step explanation:
brainliest?
NO ONE HELPED ME WITH MY LAST QUESTION PLS HELP WITH THISSSS, I DONT WANNA GET A BAD GRADE AND I HAVE 2 MINUTES LEFTT!!
Answer:
Step 2.
-11/12 > -1.5
1.6 > 5/4
1 < 5/4
Step-by-step explanation:
Eval should have swapped the numerator and denominator of 4/9 when she replaced division by multiplication.
Solve for m.
22m^2 + 7m - 2 = 0
Answer:
x= -1/2 and x=2/11
Step-by-step explanation:
Write the 7x as a difference. It'll make it easier to factor out. An example of this would be 11x-4x
Therefore, the equation would look like this: 22x^2 + 11x-4x -2 =0
Look at it as if there are two equations: 22x^2+11x and -4x-2
Factor out the greatest common factor, which is 11 from the first equation. The equation will then look like this: 11x(2x+1)
Take the GCF for the second equation as well (which is -2). The equation should then also look like this: (2x+1)
Use the numbers on the outside of each of the parenthesis to form its own equation (to factor it out). This will be 11x-2
Now we have factored! Since the parenthesis equations are the same, we know that that is also part of the equation, so:
(11x-2)(2x+1)
Solve each equation for x by equaling them both to zero
Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent. 100 points!!!
Step-by-step explanation:
4 × 11 = 44
44 × 9 = 396
therefore it is 396ft
Answer:
4 x 11 = 44
44 x 9 = 396
It will be 396 ft
Step-by-step explanation:
I'm in summer school and need help. The situation that is best modeled by a discrete graph is
the daily records of the distance of each hotel from home during a cross-country trip.
the height of a wave over time.
the speed of a motorcycle over the distance it travels.
the body temperature of an athlete during a workout.
Answer:
A. The daily records of the distance of each hotel from home during a cross country trip.
Step-by-step explanation:
A discreet graph is one that is composed of unconnected, "scattered" points. The best option is A because B,C and D would all be graphed to show the increase or decrease in values, (function) while the distances of the hotels are not something that you would have to measure!
Answer:
A
Step-by-step explanation:
Because I have big brain and also y’all know what edge is I got it correct
A flow chart has 4 boxes. The top box is labeled given and contains angle A is-congruent-to angle B, angle C is congruent to angle B. The second box is labeled symmetric property and contains angle B is-congruent-to angle C. The third box is labeled question mark and contains angle A is congruent to angle C. The fourth box is labeled definition of congruent to angle x and contains m angle A = m angle C. What is the missing justification? transitive property reflexive property symmetric property substitution property
Answer:
transitive property
Step-by-step explanation:
The transitive property tells you that ...
∠A ≅ ∠B and ∠B ≅ ∠C
means you can conclude ...
∠A ≅ ∠C . . . . transitive property of congruence
Answer:
transitive property
Step-by-step explanation:
on Edguenity quiz
The points (3,-6) and (11,r) lie on a line with slops 3/2. Find the missing coordinare r
Answer:
r = 6
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to [tex]\frac{3}{2}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = ( 3, - 6) and (x₂, y₂ ) = (11, r)
m = [tex]\frac{r+6}{11-3}[/tex] = [tex]\frac{r+6}{8}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
2(r + 6) = 24 ( divide both sides by 2 )
r + 6 = 12 ( subtract 6 from both sides )
r = 6
Solve the proportion 4/x=8/(x-3)
Answer:
x=-3
Step-by-step explanation:
4/x=8/(x-3)
We can solve this using cross products
4 ( x-3) = 8x
Distribute
4x -12 = 8x
Subtract 4x from each side
4x-4x-12 = 8x-12-4x
-12 =4x
Divide each side by 4
-12/4 = 4x/4
-3 =x
Answer:
X=-3
Step-by-step explanation:
Solve it like any other two step equation.
But first we have to have x on its own to get what the x value is
The length of a rectangle is 11 less than 9 times the width. The
perimeter of the rectangle is 18 inches.
Answer:
Length = 7 Width = 2
Step-by-step explanation:
L = Length
W = Width
L=9w-11
2L+2W=18
2(9W-11) + 2W = 18
18W - 22 +2W = 18
20W -22 = 18
20W = 40
W = 2
L = 9(2)-11
L=18-11
L=7
The length and width of the rectangle is equals to 7inches and 2inches respectively.
What is rectangle?" Rectangle is defined as the quadrilateral whose opposite sides are congruent and parallel to each other , one of the interior angle is of measure 90°."
Formula used
Perimeter of the rectangle = 2 (length + width)
According to the question,
Given,
Perimeter of the rectangle = 18inches
'x' represents the width of the rectangle
As per the condition given,
Length of the rectangle = [tex]9x -11[/tex]
Substitute the value in the formula we get,
[tex]2(9x -11 +x)=18[/tex]
⇒[tex](10x-11)=\frac{18}{2}[/tex]
⇒[tex]10x= 9+11[/tex]
⇒[tex]x= 2inches[/tex]
Length of the rectangle = [tex]9(2)-11[/tex]
= [tex]18-11[/tex]
= [tex]7inches[/tex]
Hence, length and width of the rectangle is equals to 7inches and 2inches respectively.
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Carolyn is searching online for tickets to a concert. Two weeks ago, the cost was $50. Now the cost is $59. What is the percent increase
Answer: 18%
Step-by-step explanation: Percentage of 9 in 50=
9/50 × 100= 0.18×100= 18%
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