Answer:
x = 0 ; x = 1
Step-by-step explanation:
[tex]\sqrt{x^{12}} =x[/tex]
[tex]\Longleftrightarrow \sqrt{x^{6\times 2}} =x[/tex]
[tex]\Longleftrightarrow \sqrt{\left( x^{6}\right)^{2} } =x[/tex]
[tex]\Longleftrightarrow |x^{6}|=x[/tex]
[tex]\Longleftrightarrow x^{6}=x\ \ \ ;\ |x^{6}|=x^{6}[/tex]
[tex]\Longleftrightarrow x^{6}-x=0[/tex]
[tex]\Longleftrightarrow x(x^{5}-1)=0[/tex]
[tex]\Longleftrightarrow x=0 \ \ or\ \ (x^{5}-1)=0[/tex]
[tex]\Longleftrightarrow x=0\ \ or\ \ x^{5}=1[/tex]
[tex]\Longleftrightarrow x=0\ \ or\ \ x=1[/tex]
7
i need help!!
math geniuses pls help me!
please help!!!!
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Answer:
1 sick chick FIL a have to be there by the time
Answer:
B is the correct choice.
Explanation:
r = 4sin∅, a = 4, R = 2
[tex]\begin{tabular}{c | l}\theta & r \\ \cline{1-2}\pi /6 & 2\\\pi /3 & 2\sqrt{3}\\\pi /2 & 4\\2\pi /3 & 2\sqrt{3} \\5\pi /6 & 2\\\pi & 0\end{tabular}[/tex]
Plot these points.
help plssssssssssssssssssss
Answer:
The circumference is 75.36 inches.
Step-by-step explanation:
Hi there! Please take a look at the following explanation and let me know in the comment if you have any doubts!
Given:We are given the radius that’s equal to 12 inches and π = 3.14
Problem:We want to find the circumference.
Circumference Formula:[tex]\displaystyle \large{C=2\pi r}[/tex] which simply means circumference = 2*π*radius or sometimes can also be written as [tex]\displaystyle \large{C=\pi d}[/tex] which means circumference = π*diameter since 2r means two times of radius and that’s technically diameter.
Step:Determine the following:
π = 3.14 as givenr = 12 as givenApply the circumference formula.
[tex]\displaystyle \large{C=2\cdot 3.14 \cdot 12}\\\\\displaystyle \large{C = 24 \cdot 3.14}\\\\\displaystyle \large{C=75.36}[/tex]
Hence, the circumference is 75.36 inches.
Answer:
75.36 in^2
Step-by-step explanation:
24*3.14
=75.36 in^2
What is the solution of log3x-2 4096=3
You have been given data about gas prices in 15 states.
2018 Gas Price Data
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
Standard Deviation: $0.1098
What does the mean and median of the data say about gas prices in 2018?
Both the mean and the median can be used to describe where the “center” of a dataset is located. It’s best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers. It’s best to use the median when the distribution of data values is skewed or when there are clear outliers.
Find the dependent value
for the graph
y = 12 + 5x
when the independent value is 3.
y = [?]
Answer:
Y = 27
Step-by-step explanation:
In the equation (y = 12 + 5x) the X is the independent value. When you replace this by 3 you will multiply 3*5 which will give you 15 and then you will want to add 12 as that is your y intercept. Giving the value of your Y a 27, or the point would be (3,27)
bonjour je n'y arrive pas, quelqu'un pourrait m'aider s'il vous plaît ?
Answers:
BD = 6
AC = 7.5
=================================================
Work Shown:
BD/BA = BE/BC
x/9 = 4/6
6x = 9*4
6x = 36
x = 36/6
x = 6
BD = 6
---------
DE/AC = BE/BC
5/y = 4/6
5*6 = y*4
30 = 4y
4y = 30
y = 30/4
y = 7.25
AC = 7.5
The value of a in the equation, a-6=9 is
PLS HELP ME!!!
Answer:
15
Step-by-step explanation:
15-6=9 so a-6=9
Answer:
17
Step-by-step explanation:
17-6=9 (to double check your work and make sure it's right you do the opposite [9+6=17] )
Figure D
-2
W
jures are congruent?
SA and B
SA and C
A and D
C and D
Answer:
the answer is figure A and C
Simplify this expression
20f-4(5f+4)+16
Solve step by step
20f - 4 (5f + 4) + 16
= 20f - 20f - 16 + 16
= 0
Answer:
0
Step-by-step explanation:
Distribute terms in the parentheses
20f - 4(5f + 4) + 1620f - 20f - 16 + 16 0 + 0 [20f and -20f, and -16 and 16 cancel out]0GIVING BRAINLIEST!!!!!
Answer:
(4,1)
Step-by-step explanation:
After being reflected over the x=-3 line it will be (1,4)
then you reflect over the y=x line which makes it (4,1)
what is the approximate value for 683 divided by 19
Answer:
Your answer is: 36!
Step-by-step explanation:
Hope this helped :)
MULTIPLE CHOICE QUESTION
Which is the greater number
0.23 or 0.111
Answer:
0.23
Step-by-step explanation:
0.23 - 0.111 = 0.119
Meaning that it's greater in value.
Answer:
0.23
Step-by-step explanation:
When you look in the tenths place 2 is greater than one :) hope this helps!!
Which statement about odd functions is correct?
A. They are symmetric over the x-axis.
B. They have rotational symmetry.
C. They are symmetric over the y-axis.
D. They are transformations of the parent function.
No one because odd functions are symmetric about the origin.
What is an odd function?It is a function such that f (x) =f (x) with the sign reversed but the absolute value unchanged if the independent variable's sign is reversed.
If f(x) Equals f(x) for every x, a function is odd. An odd function's graph will be symmetrical around the origin.
For instance, f(x) = x3 is an odd number. That is, the function on one side of the x-axis is sign inverted in relation to the function on the other side, or graphically, symmetric about the origin.
Therefore the odd functions are symmetric about the origin.
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Answer: B
Step-by-step explanation:
Question Progress 10 Homework Progress 17/ x: y = 2:3 Which is the correct equation? A 2x = 3y B 2y = 3x C y = x - 1 D y = x + 1
I need help on this it's only 1 attempt or I'll get a 1hr detention
Answer: 2y = 3x
Reason:
The equation x:y = 2:3 is the same as saying x/y = 2/3
Cross multiply to get 3x = 2y which flips to 2y = 3x
Sum interior angle on a regular pentagon
Answer:
540°
Step-by-step explanation:
Formula: note that n means nr of sides
(n-2)×180°
(5-2)×180°=3×180=540°
Where each angle are 540°÷5=108°
Answer:
540
Step-by-step explanation:
108 is one interior angle from a regular pentagon
And a pentagon has 5 interior angles
So 180x5=540
What is the polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 i? f(x) = x2 – 2x 2 f(x) = x3 – x2 4x – 2 f(x) = x3 – 3x2 4x – 2 f(x) = x2 – x 2
The polynomial with the lowest degrees and a leading coefficent of 1 will be f(x) = x^2 – x
Polynomial functionThese are function with leading degree of 3 and above
Given the standard polynomial function of degree 3
ax³+bx²+cx+d
The leading coefficient is "a"
The polynomial with the lowest degrees and a leading coefficent of 1 will be f(x) = x^2 – x
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on marks first day, he ran 5 laps without stopping after several weeks of training he ran 9 weeks without stopping. what is the percent increase.
The percentage increase from 5 laps of race on the first day to 9 laps after several weeks is 80%
How to determine the percentage increase?The distance ran are given as:
Initial = 5 laps
Final= 9 laps
The percentage increase is calculated using:
Percentage = (Final - Initial)/Initial
So, we have:
Percentage = (9 - 5)/5
Evaluate
Percentage = 0.8
Express as percentage
Percentage = 80%
Hence, the percentage increase is 80%
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A numerical measure computed from a sample, such as sample mean, is known as a.
Answer:
Sample statistic
Problem 4.2
A textbook has 428 numbered pages, starting with 1.
A textbook has 428 numbered pages, starting with 1.
You are equally likely to stop on any of the pages if you flip through the book randomly.
What is the probability that you turn to an even-numbered page?
Answer:
50%
half of the numbers are even
Step-by-step explanation:
The parent cosine function is transformed to create the function . which graphed function has the same amplitude as function m?
Based on the graph given, the option that will show the same amplitude as function m is graph D.
Which graphed function is this about?The cosine function is seen as:
f(x) = A*cos(kx) + M
And the functions are:
A stands for amplitude, k is angular frequency,M is the midline.When the function is m(x) = -2*cos(x+π).
The absolute value of the amplitude will be 2*|-2| = 4
Therefore, the option that can have the requirement above is graph D.
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Complete the recursive formula of f (n)
The value of the given function will be written as:-
a) f(1)= 12
b) [tex]f(n-1)= -48(\dfrac{-1}{4})^{n-1}[/tex]
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The given function is :-
[tex]f(n)= -48(\dfrac{-1}{4} ) ^{n}[/tex]
So the value of the given function f(1) will be:-
[tex]f(1)= -48(\dfrac{-1}{4} ) ^{1}=12[/tex]
The value of the function f(n-1) will be:-
[tex]f(n-1)= -48(\dfrac{-1}{4})^{n-1}[/tex]
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Find the area of the triangle. area triangle 4
Answer:
12
Step-by-step explanation:
because when u plus 4+4+4 it's 12
Let x = 0.147 and let y = 0.147.
Answer:
X is a rational number, y is not a rational number, and y is larger.
Step-by-step explanation:
The line above the 0.147 means that the number goes on forever and never stops. This is a characteristic of an irrational number. Rational numbers, however, do stop, so x is rational. Because y goes on forever, it has more values after the 0.147, making it larger.
Raquel needs to graph a square on a coordinate plane using the points (8,2), (8,5), (5,5), and (5,2). What steps does Raquel need to follow to graph the square?
Answer:
First things first you set up your coordinate plane. Then you have to remember that the the first number is the x-axes and the second number is the y-axes. Then you go straight from (0,0) of the x-axes all the way to (8,0) then you go up two times (8,2) there is your first one. Then you gotta so the same steps 3 more times. But it has to be in different places.
6 tractors take 10 days to collect the harvest. How long would it take 10 tractors to do the same work?
Answer:
6 days
Step-by-step explanation:
Relation :
Number of tractors ∝ 1/Number of days6 tractors took 10 days. Now, we have 10 tractors. This means the number of tractors has increased by 10/6 = 5/3. Therefore, the number of days will become 3/5 of the original time.
Solving :
10 × 3/52 × 36 daysHaving trouble with this problem, can someone help me understand how to solve this.
Answer:
448m^3
Step-by-step explanation:
volume of pyramid = 1/3*area of base * perpendicular height
12*16=192m^2
1/3*192*7=448m^3
3
Find the surface area of the figure shown below.
1 mm
1 mm
1 mm
Figure not drawn to scale
Surface area is?
Answer:
6
Step-by-step explanation:
Since this is a cube, and the lengths that are given are 1 mm, then you just add all the sides of a cube. There are 6 sides in a cube, 1+1+1+1+1+1=6
The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1.
Why are the events not independent?
The sum of P(A) and P(B) is greater than P(A and B).
The product of P(A) and P(B) is greater than P(A and B).
The product of P(A) and P(B) is not equal to P(A and B).
The sum of P(A) and P(B) is not equal to P(A and B).
Find the midpoint M of the line segment joining the points A = (7, - 8) and B = (- 3, - 4)
Answer:
The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.
Use this calculator to calculate the midpoint, the distance between 2 points, or find an endpoint given the midpoint and the other endpoint.
Step-by-step explanation:
Step-by-step explanation:
(7+(-3))/2 , (-8+(-4))/2(7-3)/2 , (-8-4)/24/2 , -12/2midpoint = (2,-6)y=x^4-x^3-5x^2-x-6
Show steps
Answer:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x. x= i, −i, 3,−2
Step-by-step explanation:
Answer:
[tex](x-3)({x}^{2}+1)(x+2)[/tex]
Step-by-step explanation:
1) Factor [tex]x^4 - x^3 - 5x^2 - x - 6[/tex] using Polynomial Division.
1 - Factor the following.
[tex]x^4 - x^3 - 5x^2 - x - 6[/tex]
2 - First, find all factors of the constant term 6.
[tex]1, 2, 3, 6[/tex]
3 - Try each factor above using the Remainder Theorem.
Substitute 1 into x. Since the result is not 0, x-1 is not a factor..
[tex]1^4 - 1^3 - 5 * 1^2 - 1 - 6 = - 12[/tex]
Substitute -1 into x. Since the result is not 0, x+1 is not a factor..
[tex]( - 1 ) ^ 4 - ( - 1 ) ^ 3 - 5 ( - 1 ) ^ 2 + 1 - 6 = - 8[/tex]
Substitute 2 into x. Since the result is not 0, x-2 is not a factor..
[tex]{2}^{4}-{2}^{3}-5\times {2}^{2}-2-6 = -20[/tex]
Substitute -2 into x. Since the result is 0, x+2 is a factor..
[tex]{(-2)}^{4}-{(-2)}^{3}-5{(-2)}^{2}+2-6 = 0[/tex]
⇒ [tex]x+2[/tex]
4 - Polynomial Division: Divide [tex]{x}^{4}-{x}^{3}-5{x}^{2}-x-6[/tex] by [tex]x+2[/tex]
[tex]x^3[/tex] [tex]-3x^2[/tex] [tex]x[/tex] [tex]-3[/tex]
--------------------------------------------------------------
[tex]x+2[/tex] | [tex]x^4[/tex] [tex]-x^3[/tex] [tex]-5x^2[/tex] [tex]-x[/tex] [tex]-6[/tex]
[tex]x^4[/tex] [tex]2x^3[/tex]
------------------------------------------------------------
[tex]-3x^3[/tex] [tex]-5x^2[/tex] [tex]-x[/tex] [tex]-6[/tex]
[tex]-3x^3[/tex] [tex]-6x^2[/tex]
---------------------------------------
[tex]-3x[/tex] [tex]-6[/tex]
[tex]-3x[/tex] [tex]-6[/tex]
---------------
5 - Rewrite the expression using the above.
[tex]{x}^{3}-3{x}^{2}+x-3[/tex]
2) Factor out common terms in the first two terms, then in the last two terms.
[tex]({x}^{2}(x-3)+(x-3))(x+2)[/tex]
3) Factor out the common term [tex]x-3[/tex].
[tex](x-3)({x}^{2}+1)(x+2)[/tex]