We conclude that the equation x = y^4 satisfies x = 256.
What does the equation x = y^4 satisfy?
First, we know that:
y^4 - 256 = 0
With this equation, we can find the value of y, it will give:
y^4 = 256
Then:
y = 256^(1/4) = 4
Now if we have the equation x = y^4, we can write:
x = y^4 = 256
x = 256
We conclude that the equation x = y^4 satisfies x = 256.
If you want to learn more about equations:
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A wall of a building is 34 inches wide Sixteen inches is concrete, 12 inches is brick, and 6 inches is limestone What fraction of the wall is concrete?
I'LL GIVE BRAINLIEST !! FASTER
please provide explaination
Answer:
532
A
Step-by-step explanation:
A=86
B=180
C=94
D=266
now,
a+b+c+d_94
=86+180+94+266_94
=532
Someone help me solve this please…
Answer:
x=5.5
Step-by-step explanation:
Perimeter of ABCD=85
The perimeter is everything around the outside added together.
Form an equation:
3x+4+4x+6x-11+5x-7=85
Collect the like terms:
Like terms are terms that have the same powers and coefficient.
3x+4x+6x+5x=18x
4-11-7= -14
Put it back into an equation:
18x-14=85
Do inverse operations to find out what x is:
85+14=99
18x=99
99÷18=5.5 (we divide because, in algebra, when a number is next to a letter, it means times and as we want the inverse, you would have to divide)
x=5.5
Hope this helps :)
Select the correct answer from each drop-down menu.
Consider the function fx) = -2x + 6x3 + 2x.
The function is
because
Answer:
This is an odd function because f (–x) = f (x)
Step-by-step explanation:
This is an odd function because f (–x) = f (x)
f(x) = -2x^5 + 6x^3 + 2x.
All the powers are odd powers and the sum of odd functions is odd
All of the terms are odd functions so the total function is odd
Answer:
CORRECT
Step-by-step explanation:
[tex]x - \frac{3\\}{8} = \frac{13}{2}[/tex]
X - 3/8 = 13/2
Add 3/8 to both sides:
X = 13/2 + 3/8
Rewrite 13/2 to have 8 as the denominator:
13/2 x 4 = 52/8
X = 52/8 + 3/8
X = 55/8
Answer:
55/8
Step-by-step explanation:
Add 3/8 to both sides
X - 3/8 = 13/2
X = 13/2 + 3/8
make sure the denominators are equal so we can add. so multiply 4/4 by 13/2 and that equals 52/8
X = 52/8+3/8
X= 55/8
I need help ASAP!!Please explain the answer
Answer:
348
Step-by-step explanation:
Volume = Area of cross section x height
Area of cross section = 1/2bh
1/2 (12x5.8) = 34.8
34.8 x 10 = 348
Volume = 348km^3
Answered by g a u t h m a t h
Round the number 553 to the tens place.
is it 550? because 3 is less than 5 so I replace it with a 0
Answer:
550
Step-by-step explanation:
To round 553 to the tens place, we would need to identify the value of the digit in the ones place.
If the digit in the ones place is greater than 5, we increase the tens place by 1 & convert the ones place into a 0.
If not, we leave the tens place as is & convert the ones place into a 0.
Since 3 is less than 5, we round 553 to 550 so you are correct.
Answer:
Yes
550 has 2 sig figs
553 has 3
Step-by-step explanation:
46°
X
Х
X =
degrees.
Answer:
x = 67°
Step-by-step explanation:
The 2 base angles x are congruent , then
x = [tex]\frac{180-46}{2}[/tex] = [tex]\frac{134}{2}[/tex] = 67°
Answer:
X= 67 degrees.
Step-by-step explanation:
All triangles must add up to 180°. This is an isosceles triangle which means once you have one degree you can find the other two.
In order to get the answer start with 180°-46°
180-46=134
The two x's equal each other. So you can divide the remaining degrees by 2 to get the answer.
134÷2=67.
So the answer is 67°.
May anyone help me with this
Answer:
Step-by-step explanation:
y=3(x−3)^2+75
Answer:
(x - 3)² = - 25
Step-by-step explanation:
Given
- 3x² = - 18x + 102 ( add 18x to both sides )
- 3x² + 18x = 102 ( divide through by - 3 )
x² - 6x = - 34
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 3)x + 9 = - 34 + 9
(x - 3)² = - 25
Evaluate ab+bc+ca . If a²+b²+c²=50 and a+b+c=12
Answer:
ab+bc+ac=47
Step-by-step explanation:
(a+b+c)=12
Square both sides
a^2+b^2+c^2+2(ab+bc+ac)=144
2(ab+bc+ac)=94
ab+bc+ac=47
Answer:
ab + bc + ca = 47
Step-by-step explanation:
Using the algebraic identity
(a + b + c) = a² + b² + c² + 2(ab + bc + ca) , then
12² = 50 + 2(ab + bc + ca)
144 = 50 + 2(ab + bc + ca) ← subtract 50 from both sides
94 = 2(ab + bc + ca) ← divide both sides by 2
47 = ab + bc + ca
Solve the equation 40 = 2x^2+ 2x by factoring.
What are the solutions?
Answer:
x=4, -5
Step-by-step explanation:
Factor and set each factor equal to zero
Answer:
X = -4 , x= 4
Step-by-step explanation:
20=x^2-x=0
-20+x^2+x=0
x^2+x-20=0
x×(x+5)-4(x+5)=0
(x+5)×(x-4)=0
x+5=0
×-4=0
x=-5
x=4
Combine like terms to simplify the following polynomial.
x + y + z + x + 2z + 3y
2x + 4y + 3z
9xyz
4x + 2y + 3z
x2 + y4 + z3
Step-by-step explanation:
Answer 1
x+x+y+3y+z+2z
2x+4y+3z
Answer 2
2x+4y+3z
( no like terms are there so it cannot be added)
Answer 3
9xyz
last two answers will also be similar as the question because unlike terms cannot be added..
Help meh pweeeeaaaasssseeee!
Answer:
The name of the given figure in two different ways are - J⇔U and U⇔J
Solve the equation for x.
(x - 4) - (x + 7) = 8x
11
a.
c.
11
8
2
AlE NE
b.
1
d.
11
coin
8
4
Answer:
[tex]x=-\frac{11}{8}[/tex]
Step-by-step explanation:
Hi there!
[tex](x - 4) - (x + 7) = 8x[/tex]
Open up the parentheses
[tex]x - 4 - x - 7 = 8x[/tex]
Combine like terms
[tex]x -x - 4 - 7 = 8x\\-4-7=8x\\-11=8x[/tex]
Divide both sides by 8 to isolate [tex]x[/tex]
[tex]-\frac{11}{8}=x[/tex]
I hope this helps!
Help plz!!!!!!!!!!!!
Answer:
Option A, 90
Step-by-step explanation:
105×2-120
= 210-120
= 90
what is the commutative property for 4xy
PLEASE ANSWER QUICKLY
Answer:
[tex]we \: know \: that \: commutative \: prop \\ = x + y = y + x \\ then \\ 4xy + 0 = 0 + 4xy \\ thank \: you[/tex]
A coin contains 9 grams of nickel and 161616 grams of copper, for a total weight of 25 grams.
What percentage of the metal in the coin is copper?
Answer:
64percents
Step-by-step explanation:
25-9=16 grams - weight of copper
(16/25)*100=64 percents
What is the equation of a line that passes through the point (5,3) and has a slope of -2?
Answer:
y = -2x +13
Step-by-step explanation:
you know the point is (5,3) and slope is -2
sub into the linear equation y=mx+b
3 = -2(5) +b
rearrange and solve for b
b= 3 + 10
b = 13
2. The ? states that the product of the extremes is equal to the product of the
means.
Answer:
proportion
Step-by-step explanation:
In a proportion, the means or the extremes (or both) may be interchanged. In proportion, the product of the means equals the product of the extremes.
hope it helps :)
mark brainliest!
Find the length of the third side. If necessary, round to the nearest tenth.
12
13
Answer:
Submit Answer
attempt 1 out of 2
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PLS HELP ASAP
Answer:
5
Step-by-step explanation:
Use pythagorean theorem. A^2+B^2=C^2
13 is c because it is the hypotenuse and across from the right angle
a is unknown and b is 12
A^2+12^2=13^2
A^2 +144 = 169
A^2 = 169- 144
A^2= 25
now take the sq root of both side
A = 5
Answer:
17.7
Step-by-step explanation:
convert six yard to feet
Answer:
18 feet
Step-by-step explanation:
To convert : multiply the length value by 3
=> 6 x 3
=> 18 feet
Which of the following is equivalent to the expression below?
Answer:
4
Step-by-step explanation:
ln(e)=1 since ln= log_e
log(x^y)=y*log(x) so ln(e^4)=4*ln(4)=4*1=4
Answer:
D
Step-by-step explanation:
ln(e^4)
The 4 comes down in front of the natural log (ln). You get 4 ln(e)
The natural log of e (ln e ) is 1.
So the answer is 4 * 1 = 4
That may not be clear to you. We could try it another way.
e = 2.718281828
ln (2.718281828) = 1
ln(2.718281828)^4 = 4. The calculator gags until you get it right. You need the y^x key (or the x^y key of ^) It does come back with 4.
You have to monkey around with the calculator to get this to happen.
pls help :: geometry summer assignment
Answer:
140
Step-by-step explanation:
Left column = x
Right column = y
Rule = 3.5x = y
Because 42/12 = 3.5
3.5 * 40 = 120 + 20 = 140
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Given the graph of a radical function, which statement is correct?
Radical function going from the point negative 4 comma negative 3 up to the right through the point 5 comma 0
R colon open bracket y is an element of all real numbers close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to 5 close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to negative 4 close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to negative 3 close bracket
Answer:
R colon open bracket y is an element of all real numbers such that y is greater than or equal to negative 3 close bracket
Can someone please help me with these 7 questions please?
The solution to each of the question takes different approach, as the questions are taken from different concepts; however, a common operation among all questions, is factorization.
[tex](1)\ (-xy)^3(xz)[/tex]
Expand
[tex](-xy)^3(xz) = (-x)^3* y^3*(xz)[/tex]
[tex](-xy)^3(xz) = -x^3* y^3*xz[/tex]
Rewrite as:
[tex](-xy)^3(xz) = -x^3*x* y^3*z[/tex]
Apply law of indices
[tex](-xy)^3(xz) = -x^4y^3z[/tex]
[tex](2)\ (\frac{1}{3}mn^{-4})^2[/tex]
Expand
[tex](\frac{1}{3}mn^{-4})^2 =(\frac{1}{3})^2m^2n^{-4*2}[/tex]
[tex](\frac{1}{3}mn^{-4})^2 =\frac{1}{9}m^2n^{-8[/tex]
[tex](3)\ (\frac{1}{5x^4})^{-2}[/tex]
Apply negative power rule of indices
[tex](\frac{1}{5x^4})^{-2}= (5x^4)^2[/tex]
Expand
[tex](\frac{1}{5x^4})^{-2}= 5^2x^{4*2}[/tex]
[tex](\frac{1}{5x^4})^{-2}= 25x^{8[/tex]
[tex](4)\ -x(2x^2 - 4x) - 6x^2[/tex]
Expand
[tex]-x(2x^2 - 4x) - 6x^2 = -2x^3 + 4x^2 - 6x^2[/tex]
Evaluate like terms
[tex]-x(2x^2 - 4x) - 6x^2 = -2x^3 -2x^2[/tex]
Factor out x^2
[tex]-x(2x^2 - 4x) - 6x^2 = (-2x-2)x^2[/tex]
Factor out -2
[tex]-x(2x^2 - 4x) - 6x^2 = -2(x+1)x^2[/tex]
[tex](5)\ \sqrt{\frac{4y}{3y^2}}[/tex]
Divide by y
[tex]\sqrt{\frac{4y}{3y^2}} = \sqrt{\frac{4}{3y}}[/tex]
Split
[tex]\sqrt{\frac{4y}{3y^2}} = \frac{\sqrt{4}}{\sqrt{3y}}[/tex]
[tex]\sqrt{\frac{4y}{3y^2}} = \frac{2}{\sqrt{3y}}[/tex]
Rationalize
[tex]\sqrt{\frac{4y}{3y^2}} = \frac{2}{\sqrt{3y}} * \frac{\sqrt{3y}}{\sqrt{3y}}[/tex]
[tex]\sqrt{\frac{4y}{3y^2}} = \frac{2\sqrt{3y}}{3y}[/tex]
[tex](6)\ \frac{8}{3 + \sqrt 3}[/tex]
Rationalize
[tex]\frac{8}{3 + \sqrt 3} = \frac{3 - \sqrt 3}{3 - \sqrt 3}[/tex]
[tex]\frac{8}{3 + \sqrt 3} = \frac{8(3 - \sqrt 3)}{(3 + \sqrt 3)(3 - \sqrt 3)}[/tex]
Apply difference of two squares to the denominator
[tex]\frac{8}{3 + \sqrt 3} = \frac{8(3 - \sqrt 3)}{3^2 - (\sqrt 3)^2}[/tex]
[tex]\frac{8}{3 + \sqrt 3} = \frac{8(3 - \sqrt 3)}{9 - 3}[/tex]
[tex]\frac{8}{3 + \sqrt 3} = \frac{8(3 - \sqrt 3)}{6}[/tex]
Simplify
[tex]\frac{8}{3 + \sqrt 3} = \frac{4(3 - \sqrt 3)}{3}[/tex]
[tex](7)\ \sqrt{40} - \sqrt{10} + \sqrt{90}[/tex]
Expand
[tex]\sqrt{40} - \sqrt{10} + \sqrt{90} =\sqrt{4*10} - \sqrt{10} + \sqrt{9*10}[/tex]
Split
[tex]\sqrt{40} - \sqrt{10} + \sqrt{90} =\sqrt{4}*\sqrt{10} - \sqrt{10} + \sqrt{9}*\sqrt{10}[/tex]
Evaluate all roots
[tex]\sqrt{40} - \sqrt{10} + \sqrt{90} =2*\sqrt{10} - \sqrt{10} + 3*\sqrt{10}[/tex]
[tex]\sqrt{40} - \sqrt{10} + \sqrt{90} =2\sqrt{10} - \sqrt{10} + 3\sqrt{10}[/tex]
[tex]\sqrt{40} - \sqrt{10} + \sqrt{90} =4\sqrt{10}[/tex]
[tex](8)\ \frac{r^2 + r - 6}{r^2 + 4r -12}[/tex]
Expand
[tex]\frac{r^2 + r - 6}{r^2 + 4r -12}=\frac{r^2 + 3r-2r - 6}{r^2 + 6r-2r -12}[/tex]
Factorize each
[tex]\frac{r^2 + r - 6}{r^2 + 4r -12}=\frac{r(r + 3)-2(r + 3)}{r(r + 6)-2(r +6)}[/tex]
Factor out (r+3) in the numerator and (r + 6) in the denominator
[tex]\frac{r^2 + r - 6}{r^2 + 4r -12}=\frac{(r -2)(r + 3)}{(r - 2)(r +6)}[/tex]
Cancel out r - 2
[tex]\frac{r^2 + r - 6}{r^2 + 4r -12}=\frac{r + 3}{r +6}[/tex]
[tex](9)\ \frac{4x + 8}{x^2} \cdot \frac{x}{x^2 - 5x - 14}[/tex]
Cancel out x
[tex]\frac{4x + 8}{x^2} \cdot \frac{x}{x^2 - 5x - 14} = \frac{4x + 8}{x} \cdot \frac{1}{x^2 - 5x - 14}[/tex]
Expand the numerator of the 2nd fraction
[tex]\frac{4x + 8}{x^2} \cdot \frac{x}{x^2 - 5x - 14} = \frac{4x + 8}{x} \cdot \frac{1}{x^2 - 7x+2x - 14}[/tex]
Factorize
[tex]\frac{4x + 8}{x^2} \cdot \frac{x}{x^2 - 5x - 14} = \frac{4x + 8}{x} \cdot \frac{1}{x(x - 7)+2(x - 7)}[/tex]
Factor out x - 7
[tex]\frac{4x + 8}{x^2} \cdot \frac{x}{x^2 - 5x - 14} = \frac{4x + 8}{x} \cdot \frac{1}{(x + 2)(x - 7)}[/tex]
Factor out 4 from 4x + 8
[tex]\frac{4x + 8}{x^2} \cdot \frac{x}{x^2 - 5x - 14} = \frac{4(x + 2)}{x} \cdot \frac{1}{(x + 2)(x - 7)}[/tex]
Cancel out x + 2
[tex]\frac{4x + 8}{x^2} \cdot \frac{x}{x^2 - 5x - 14} = \frac{4}{x} \cdot \frac{1}{(x - 7)}[/tex]
[tex]\frac{4x + 8}{x^2} \cdot \frac{x}{x^2 - 5x - 14} = \frac{4}{x(x - 7)}[/tex]
[tex](10)\ (3x^3 + 15x^2 -21x) \div 3x[/tex]
Factorize
[tex](3x^3 + 15x^2 -21x) \div 3x = 3x(x^2 + 5x -7) \div 3x[/tex]
Cancel out 3x
[tex](3x^3 + 15x^2 -21x) \div 3x = x^2 + 5x -7[/tex]
[tex](11)\ \frac{m}{6m + 6} - \frac{1}{m+1}[/tex]
Take LCM
[tex]\frac{m}{6m + 6} - \frac{1}{m+1} = \frac{m(m + 1) - 1(6m + 6)}{(6m + 6)(m + 1)}[/tex]
Expand
[tex]\frac{m}{6m + 6} - \frac{1}{m+1} = \frac{m^2 + m- 6m - 6}{(6m + 6)(m + 1)}[/tex]
[tex]\frac{m}{6m + 6} - \frac{1}{m+1} = \frac{m^2 - 5m - 6}{(6m + 6)(m + 1)}[/tex]
[tex](12)\ \frac{\frac{1}{y - 3}}{\frac{2}{y^2 - 9}}[/tex]
Rewrite as:
[tex]\frac{\frac{1}{y - 3}}{\frac{2}{y^2 - 9}} = \frac{1}{y - 3} \div \frac{2}{y^2 - 9}[/tex]
Express as multiplication
[tex]\frac{\frac{1}{y - 3}}{\frac{2}{y^2 - 9}} = \frac{1}{y - 3} * \frac{y^2 - 9}{2}[/tex]
Express y^2 - 9 as y^2 - 3^2
[tex]\frac{\frac{1}{y - 3}}{\frac{2}{y^2 - 9}} = \frac{1}{y - 3} * \frac{y^2 - 3^2}{2}[/tex]
Express as difference of two squares
[tex]\frac{\frac{1}{y - 3}}{\frac{2}{y^2 - 9}} = \frac{1}{y - 3} * \frac{(y - 3)(y+3)}{2}[/tex]
[tex]\frac{\frac{1}{y - 3}}{\frac{2}{y^2 - 9}} = \frac{1}{1} * \frac{(y+3)}{2}[/tex]
[tex]\frac{\frac{1}{y - 3}}{\frac{2}{y^2 - 9}} = \frac{y+3}{2}[/tex]
Read more at:
https://brainly.com/question/4372544
In the given figure, identify a pair of perpendicular lines.
A) I and p
B) o and p
C) m and n
D) m and o
i’ll give brainliest
Need help with VOCAB!!! Please make sure it's correct
Hey there!
I believe your answer would be a transformation, and not a translation.
A transformation is an operation that moves, flips, or otherwise changes a figure to create a new figure.
Hope this helps!
Have a wonderful day! :)
someone measured the living room of their house and it is 12ft by 16 feet. what will the dimensions of the doll house living room be if every foot of the actual house is equal to 1/2 inch in the doll house?
Answer:
6ft by 8ft
Step-by-step explanation:
12 / 2 is 6 and 16 / 2 is 8
Helpppoplplllllpppllppppppppplpppppppppp
Work Shown:
tan(angle) = opposite/adjacent
tan(x) = 17/29
x = arctan(17/29)
x = 30.379 which is approximate
x = 30
Side note: arctan is the same as inverse tangent [tex]\tan^{-1}[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The amount of lemonade left in a pitcher would be considered ________ data.
A. neither continuous nor discrete
B. discrete
C. continuous
D. both continuous and discrete