Answers
Answer:
[tex] \boxed{ \frac{ \sqrt[3]{ {x}^{11} } }{4} } [/tex]
Step-by-step explanation:
[tex] = > \frac{ {x}^{4} }{ \sqrt[3]{64x} } \\ \\ = > \frac{ {x}^{4} }{ {(64x)}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4} }{ ({64}^{ \frac{1}{3} } )\times ({x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({( {4}^{3} )}^{ \frac{1}{3} }) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({4}^{ \cancel{3} \times \frac{1}{ \cancel{3}} } ) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{4 {x}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4 - \frac{1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{12 - 1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{11}{3} } }{4} \\ \\ = > \frac{ \sqrt[3]{ {x}^{11} } }{4} [/tex]
Related Questions
Which table represents the graph of a logarithmic function in the form y=log3x when b>1?
Answers
Answer:
The satisfied table of the given function[tex]y = log_{b} (x)[/tex]
x 1/8 1/4 1/2 1 2
y -3 -2 -1 0 1
Step-by-step explanation:
Explanation :-
Given logarithmic function [tex]y = log_{b} (x)[/tex] if b >1
Given first table
i)
put x = [tex]\frac{1}{8}[/tex] given b > 1 so we can choose b = 2
[tex]y = log_{2} (\frac{1}{8} )[/tex]
[tex]y = log_{2} (2^{-3} )[/tex]
we will apply logarithmic formula
log x ⁿ = n log (x)
[tex]y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3[/tex]
y = -3
ii)
put x = [tex]\frac{1}{4}[/tex] given b > 1 so we can choose b = 2
[tex]y = log_{2} (\frac{1}{4} )[/tex]
[tex]y = log_{2} (2^{-2} )[/tex]
we will apply logarithmic formula
log x ⁿ = n log (x)
[tex]y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2[/tex]
y = -2
iii)
put x = [tex]\frac{1}{2}[/tex] given b > 1 so we can choose b = 2
[tex]y = log_{2} (\frac{1}{2} )[/tex]
[tex]y = log_{2} (2^{-1} )[/tex]
we will apply logarithmic formula
log x ⁿ = n log (x)
[tex]y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1[/tex]
y = -1
iv)
put x = 1 given b > 1 so we can choose b = 2
[tex]y = log_{2} (1 )[/tex] = 0
y = 0
v)
put x = [tex]2[/tex] given b > 1 so we can choose b = 2
[tex]y = log_{2} (2 )[/tex]
y = 1
Final answer:-
The satisfied table of the given function
x 1/8 1/4 1/2 1 2
y -3 -2 -1 0 1
The first option is correct because that table of values represents the graph of a logarithmic function in the form [tex]y=\log_b x,b>1[/tex].
Given:
The lograrithmic function form is [tex]y=\log_b x,b>1[/tex].
To find:
The table of values that represents the graph of a logarithmic function in the form [tex]y=\log_b x,b>1[/tex].
Explanation:
It is given that [tex]b>1[/tex]. Let [tex]b=2[/tex], then
[tex]y=\log_2 x[/tex] ...(i)
Substitute [tex]x=\dfrac{1}{8}[/tex] in (i), we get
[tex]y=\log_2 \dfrac{1}{8}[/tex]
[tex]y=\log_2 \dfrac{1}{2^3}[/tex]
[tex]y=\log_2 2^{-3}[/tex]
[tex]y=-3[/tex]
Substitute [tex]x=\dfrac{1}{4}[/tex] in (i), we get
[tex]y=\log_2 \dfrac{1}{4}[/tex]
[tex]y=\log_2 \dfrac{1}{2^2}[/tex]
[tex]y=\log_2 2^{-2}[/tex]
[tex]y=-2[/tex]
Substitute [tex]x=\dfrac{1}{2}[/tex] in (i), we get
[tex]y=\log_2 \dfrac{1}{2}[/tex]
[tex]y=\log_2 2^{-1}[/tex]
[tex]y=-1[/tex]
Substitute [tex]x=1[/tex] in (i), we get
[tex]y=\log_2 1[/tex]
[tex]y=0[/tex]
Substitute [tex]x=2[/tex] in (i), we get
[tex]y=\log_2 2[/tex]
[tex]y=1[/tex]
The table of values is:
[tex]x[/tex] [tex]y[/tex]
[tex]\dfrac{1}{8}[/tex] [tex]-3[/tex]
[tex]\dfrac{1}{4}[/tex] [tex]-2[/tex]
[tex]\dfrac{1}{2}[/tex] [tex]-1[/tex]
[tex]1[/tex] [tex]0[/tex]
[tex]2[/tex] [tex]1[/tex]
Therefore, the first option is correct.
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Hey so im really confused on how to rewrite problems into radical form, so I was wondering if anyone would be able to show me how to do It step by step?
Answers
Answer:
Step-by-step explanation:
Ok so, I'll try to make this explanation super simple for you.
The denominator will always go on the outside and the numerator will be on the inside. Let me give you an example.
Take x^2/3. The answer will be 3√(x^2). Do you see how the 3 is on the outside and the 2 is on the outside?
Take p^4/5. The answer will be 5√(p^4).
I hope this gives you a clear understanding.
Can someone help me with this question?
It's geometry.
Will mark you as brainliest if answer is correct.
Answers
Answer:
angle ABE and DBC
Step-by-step explanation:
They are both greater than 90 degrees
<ABE & <DBC
obtuse angle: more than 90 degrees and less than 180 degrees
F) 77.1%
Thanks if you helped me
Answers
Answer: 43.5
Step-by-step explanation:
185/425
divide them, you should get 0.435
move it to the left 2 times and thats your answer
A 3-column table with 4 rows. The first column is labeled Currency and entries Canadian dollar, Euro, Japanese yen, Indian rupee. The second column is labeled U S D/1 Unit and entries 0.97071, 1.35261, 0.01007, 0.01594. The third column is labeled Units/1 U S D and entries 1.03069, 0.73935, 99.90487, 62.72053.
Mitchell travels from the US to Canada, where he exchanges 150 US dollars for Canadian dollars. He then spends 20 Canadian dollars, returns to the US, and exchanges the remaining money back to US dollars. How many US dollars does Mitchell have remaining?
129.46
130.00
130.66
134.59
Answers
Answer: 130.66
Step-by-step explanation:
Answer:
$31.88
Step-by-step explanation:
on edge 2020
Steel is formed by combining masses of carbon and iron in the ratio 1:49. How many pounds of iron would it take to create 10 pounds of steel?
A)0.49
B)0.48
C)4.9
D)9.8
Answers
Answer:
9.8
Step-by-step explanation:
1:49= ratio of carbon to to iron
1+49= steel
50=10pounds
49=?pounds
49 * 10/50
=49/5
=9.8pounds
Who knows this, Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15
Answers
Answer:
165
Step-by-step explanation:
First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate. Then, you substitute all the values that you provided for the angles. 15x+15=x+15+140. You then solve for x.
15x+15=x+155
14x=140
x=10
You then plug back in 10 for X in the value of m<UTS. 15(10)+15=165
Anybody wanna play fn, , or sea of thieves?
Answers
Answer:
Nope
Step-by-step explanation:
Please we are not here to joke.find some where else to do such but not here
Answer:
Meh
Step-by-step explanation:
For a musical show, x children were present. There were 60 more adults than children. An adult paid N5 and a child N2.
If a total of N1294 was
collected, calculate the value
of x *
Answers
Answer:
142
Step-by-step explanation:
5*(x+60)+2*x=1294
5x+5*60+2x=1294
7x+300=1294
-300 -300
7x=994
x=994:7
x=142
142
Step-by-step explanation:
5(60+x) +2(x) = 1294
300+5x+2x= 1294
7x= 994
X= 142
The Nth term of a sequence is 3n^2/2
a) what is the second term of the sequence?
b) what is the fifth term sequence?
c) which term in the sequence is the first to have a value higher than 50?
Please help
Answers
The second and fifth term for the given sequence are 6 and 48 respectively and a₆ > 50.
What is an inequality expression?An inequality expression refers to the relation between an algebraic expression to some known value that contains inequality sign. Unlike an equation it can have a range of values inside an interval.
The given problem can be solved as,
(a) The nth term of the sequence is given as aₙ = 3n²/2
Then, substitute n = 2 to get second term as below,
a₂ = (3 × 2²)/2 = 6
(b) The fifth term is obtained as,
a₅ = (3 × 2⁵)/2 = 48.
(c) The inequality expression for the given case can be written as,
3n²/2 > 50
⇒ 3n² > 100
⇒ n² > 33.33
This is possible only for n = 6.
Hence, the second and fifth terms are 6 and 48 respectively. And, the 6th term will be the first to be greater than 50.
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which expression shows the first step in dividing 5x + 3 by x?
Answers
Second y=5x+3
Y is your output and x is your input
what is the slope of the line shown below (4,8) (2,2)
Answers
Answer:
slope = 3
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
= (8-2)(4-2)
= 6/2
= 3
Answer:
If those are 2 points on the line, then the slope is 3.
Step-by-step explanation:
slope is rise over run. (8-2)/(4-2) = 6/2 = 3
Please help me ASAP, thanks!
Answers
I hope this helps!
Noah visits different states every summer. This summer, he started with 2 states already visited and visits 6 states per day. Write an equation to model this situation (use d for days and s for states)
Answers
s = number of states visited
d = number of days
6d = number of states visited after d days pass by, excluding the first 2 visited
6d+2 = total number of states visited, including the 2 originally visited
Answer: s = 6d+2HOW CAN YOU USE SUBTRACTION TO DESCRIBE DIVISION? GIMME AN EXAMPLE PLS :(
Answers
Answer:
By repeated subtraction.
Step-by-step explanation:
It is pretty much the same thing as division, but in subtraction. Since, Dividing and Subtraction are a like, repeated subtraction is a great example to use for this example
Hope this helps. :)
Answer:
kk so like, division is just repeated subtraction. like idk say you have 36 and you divide it by 9 so I think you just keep subtracting 9 until you reach 0? so you end up subtracting 9 four times which happens to be the quotient for 36/9. yeah. it's almost like how multiplication is just repeated addition.
2x + 12 = -2(4-2x)
X=10
X=-10
X=-5
X=5
Answers
Answer:
[tex] \boxed{x = 10} [/tex]
Step-by-step explanation:
[tex] = > 2x + 12 = - 2(4 - 2x) \\ \\ = > 2x + 12 = (( - 2) \times 4) - (( - 2) \times 2x) \\ \\ = > 2x + 12 = - 8 - ( - 4x) \\ \\ = > 2x + 12 = - 8 + 4x \\ \\ = > 2x - 4x + 12 = - 8 \\ \\ = > - 2x + 12 = - 8 \\ \\ = > - 2x = - 8 - 12 \\ \\ = > \cancel{-} 2x = \cancel{- }20 \\ \\ = > 2x = 20 \\ \\ = > x = \frac{20}{2} \\ \\ = > x = 10[/tex]
Which polynomial is in standard form?
Answers
Answer:
B
Step-by-step explanation:
When a polynomial is in standard form, it is arranged in the order of largest power first, followed by the next largest, and then so on. The only polynomial here that follows this rule is the second one, or choice B. Hope this helps!
a cylinder has radius 2cm. the volume of the cylinder is 100cmcubed. work out the height of the cylinder, rounded to 2 decimal places.
Answers
Answer: height = 7.96 cm
Step-by-step explanation:
Height = volume / πr^2
h = 100 / π*2^2
h = 7.96 cm
when 7 is subtracted from 3 times a certain number , the result is 28. What is the number
Answers
7 multiply by three u get 21 then add it to the number 28 add u get the answer 49
ill give Brainliest!!
Answers
Answer:
A
Step-by-step explanation:
1st graph is the same for all choices.
3d graph is horizontal line y=50 or C(x) = 50.
It is A or B choices.
We have white circle , that means value of x is not included x > 6.
It is A.
We can check the 2d line. By continuing line we can see that y -int = 10, and we can see slope= rise/run = 5. Also, 2<x≤ 6.
Answer:
It's the first option.
Step-by-step explanation:
Note that the filled circles means that the value is included in the inequality and the clear circle means it is not.
For the first 2 Gb ( 0 to 2 inclusive) used, the cost is $15.
Then for x > 2 up to and including x = 6 ( that is 6 Gb used) it rises at a rate of 5 dollars per Gb + $10, so its 5x + 10 for 2 < x <= 6.
Then the cost stays at $50.
Which among the following is the largest rational number? -2/4 -2/3 -1/3 -4/5
Answers
Answer:
-1/3
Step-by-step explanation:
All of the other numbers are less than -1/3
Answer:
-1/3 is the largest rational number
Step-by-step explanation:
[tex]\frac{-2}{4}=\frac{-1}{2}=\frac{-1*15}{2*15}=\frac{-15}{30}\\\\\\\\frac{-2}{3}=\frac{-2*10}{3*10}=\frac{-20}{30}\\\\\\\frac{-1}{3}=\frac{-1*10}{3*10}=\frac{-10}{30}\\\\\\\frac{-4}{5}=\frac{-4*6}{5*6}=\frac{-24}{30}\\\\\\\frac{-24}{30}<\frac{-20}{30}<\frac{-15}{30}<\frac{-10}{30}\\\\\\\frac{-4}{5}<\frac{-2}{3}<\frac{-2}{4}<\frac{-1}{3}[/tex]
-1/3 is the largest rational number
What is the domain of f(x) = 3x – 2? {x | x > 0} {x | x < 0} {x | x = 0} {x | x is a real number}
Answers
Answer:
Option (4). {x | x is a real number}
Step-by-step explanation:
Domain of any function is defined by the x values (Input values) and range by the y-values (Output values).
Given function is f(x) = 3x - 2
When we graph this function, we get a straight line.
That means the given function is defined for all real numbers.
Therefore, domain of this function will be all real numbers.
Domain: {x | x is a real number}
Option (4) will be the answer.
Answer:
D) {x | x is a real number}
i need help, please..
Answers
Answer:
£1.31
Step-by-step explanation:
5:7:12
5x+7x+12x= 21624x= 216x= 9small : medim : large = 45 : 63 : 108
45y+63*2y+108*3y= 648.45y(45+126+324)= 648.45495y= 648.45y= 648.45/495y= £1.31 profit for small cakeAnswer:
£1.31
Step-by-step explanation:
The cakes are sold in the ratio 5 : 7 : 12 = 5x : 7x : 12x ( x is a multiplier )
sum the parts of the ratio, 5x + 7x + 12x = 24x
Equate 24x to the number of cakes sold, that is
24x = 216 ( divide both sides by 24 )
x = 9
Thus cakes sold are
5x = 5 × 9 = 45 small cakes
7x = 7 × 9 = 63 medium cakes
12x = 12 × 9 = 108 large cakes
let p represent the profit on a small cake, then
45p + 63(2p) + 108(3p) = 648.45 , that is
45p + 126p + 324p = 648.45
495p = 648.45 ( divide both sides by 495 )
p = 1.31
That is the profit on one small cake is £1.31
An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?
Answers
Answer:
It's B
explanation
The probability of drawing a pearl bead out of a bag of mixed beads is 2/3. What is the probability of drawing a bead which is not a pearl?
Answers
Answer:
1/3
is the answer
please mark me as a brainliest
What must be true in order for line A to be parallel of line b?
Answers
Answer:
Its the first option.
Step-by-step explanation:
if they are both 180° then they can both go on forever without touching each other.
Answer:
c or (5x-54)°=(3x+16)°
Step-by-step explanation:
Since they are alternate angles, they must be equal. Alternate angles are always equivalent, and since you can't choose more than one answer, then they can't equal 180° or 90°.
Can i get help please??…………
Answers
Answer:
C is correct
Step-by-step explanation:
6x^7+12x^6+3x^5
Answer:
Answer:
C is correct
Step-by-step explanation:
6x^7+12x^6+3x^5
HELPP ITS ABOUT A PYRAMID Explanation needed pleasee
Answers
Answer:
A. a triangle with an area of 20 square units
Step-by-step explanation:
note when you cut from top tip to the bottom you will get a triangle with base = 4 and height =10
Area of triangle = 1/2 * base * heighte
Area of triangle = 0.5*10*4
Area of trianle = 20 square units
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
Answers
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
You roll a twelve-sided die (having values one through twelve on its faces). What is the probability that the value of the roll will be a composite number?
show work pls!
Answers
Step-by-step explanation:
If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is .
If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is = .
