Answer:
A.[tex]2(3^{\frac{1}{3}})-\sqrt[3]{18}[/tex]
Step-by-step explanation:
We are given that
[tex]\frac{6-3(\sqrt[3]{6}}{\sqrt[3]{9}})[/tex]
We have to find the quotient.
[tex]\frac{6}{\sqrt[3]{9}}-3(\frac{\sqrt[3]{6}}{\sqrt[3]{9}})[/tex]
[tex]\frac{2\times 3}{\sqrt[3]{3^2}}-3(\frac{\sqrt[3]{3\times 2}}{\sqrt[3]{3^2}})[/tex]
[tex]2\times\frac{3}{3^{\frac{2}{3}}}-3(\frac{2^{\frac{1}{3}}\times 3^{\frac{1}{3}}}{3^{\frac{2}{3}}})[/tex]
Using the property
[tex](ab)^n=a^n\cdot b^n[/tex]
[tex]2\times 3^{1-\frac{2}{3}}-3(2^{\frac{1}{3}}\times 3^{\frac{1}{3}-\frac{2}{3}})[/tex]
Using the property
[tex]\frac{a^x}{a^y}=a^{x-y}[/tex]
[tex]2(3^{\frac{1}{3}})-3(2^{\frac{1}{3}}\times 3^{-\frac{1}{3}})[/tex]
[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times 3^{1-\frac{1}{3}}[/tex]
[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times 3^{\frac{2}{3}}[/tex]
[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times \sqrt[3]{3^2}[/tex]
[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times \sqrt[3]{9}[/tex]
[tex]2(3^{\frac{1}{3}})-\sqrt[3]{2\times 9}[/tex]
[tex]2(3^{\frac{1}{3}})-\sqrt[3]{18}[/tex]
Hence, the quotient of [tex]\frac{6-3(\sqrt[3]{6}}{\sqrt[3]{9}})[/tex] is given by
[tex]2(3^{\frac{1}{3}})-\sqrt[3]{18}[/tex]
Option A is correct.
Answer:
A
Step-by-step explanation:
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57:18
A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0).
What is the equation of the directrix?
x=−4
y=−4
x=4
y=4
Quick, What is the value of x?
A. 2
B. 3
C. 6
D. 7
Answer:
Im pretty sure the answer is b using the formula
Which of the following is an irrational number?
√108 is an irrational number among following
Answer:
The first number
He second is a rational decimal number and the third equals to 8.
Kayla had m marbles. She gave 4 marbles to her cousin. Enter an expression to represent the number of marbles Kayla has now.
Answer:
[tex]m-4\\[/tex]
Step-by-step explanation:
[tex]m-4[/tex]
Help pleaseeee I need it ASAP
Answer:
Option D:Diagonals of a square bisect each other
Step-by-step explanation:
The diagonals of a square are equal and bisect each other at right angles and making the bisected parts equal.
the average length of string a and string d is 10x cm . the average length of string b and string c is 8x cm . the average length of string b , c, d is 6x cm . find the length of string a is terms of x
Answer:
a= 18x
Step-by-step explanation:
(a+d)/2 = 10x (1)
(b +c)/2 = 8x (2)
(b+c+d)/3 = 6x (3)
From the equation 2, we have (b+c)= 8x *2 = 16x
From the equation 3, we have d= 6x*3 - (b+c)= 18x- 16x = 2x
From the equation 1, we have a= 10x*2 -d= 20x - 2x= 18x
Express y in terms of x in the equation =
Answer:
y = 3/2x + 5
Step-by-step explanation:
2y - 3x - 10 = 0
2y = 3x + 10
y = 3/2x + 5
1/7 divided by 2/5 minus 1/7
Factor this expression completely, then place the factors in the proper location on the grid. A3y + 1
Answer: HI your question is incomplete/poorly attached below is the complete question
answer
( a + 3 ) , ( b + 2 )
Step-by-step explanation:
Given expression = ab + 2a + 3b + 6
factorizing the expression completely we will have
= a( b + 2 ) + 3 ( b + 2 )
hence the factors of the expression = ( a + 3 ) , ( b + 2 )
i need the base and hight
Answer:
Height = 5 and Base = 10
Step-by-step explanation:
The base of the parallelogram is twice the perpendicular height of the parallelogram. The area of the parallelogram is 50 cm².
Formula for area of parallelogram = base × height
Base = 2h
Height = h
∴ Area = 2h × h = 50
Solution:
2h × h = 50
2h² = 50
[tex]\frac{2h^{2} }{2} = \frac{50}{2}[/tex]
h² = 25
[tex]\sqrt{h^{2} } = \sqrt{25}[/tex]
h = 5
∴ height = 5 and base = 2(5) = 10
Without solving, determine the number of
solutions to 3x2 + 5x + 2 = -8. Show your work.
Answer:
2 solutions for this equation because the highest power is 2
What is the common solution for the equations y = 3x + 1 and y = x + 3? Write your answer an ordered pair!
Answer:
(1,4)
Step-by-step explanation:
Hi there!
We're given the system:
y=3x+1
y=x+3
We need to find the common solution (the point at which the lines intersect); we do this by finding the value of the variables.
Let's start with x
Since both equations equal y, we can make 3x+1 and x+3 equal to each other, because of a property known as transitivity (if a=b and b=c, then a=c)
3x+1=x+3
subtract 1 from both sides
3x=x+2
subtract x from both sides
2x=2
divide both sides by 2
x=1
we found the value of x
now we need to find the value of y
We do this by plugging x as 1 into either one of the equations to solve for y
let's use y=x+3 for example
substitute x as 1
y=1+3
add
y=4
we found the value of y.
Your question asks for the answer to be written as an ordered pair, which will be (1,4)
Hope this helps!
Answer:
(1, 4 )
Step-by-step explanation:
Given the 2 equations
y = 3x + 1 → (1)
y = x + 3 → (2)
Substitute y = 3x + 1 into (2)
3x + 1 = x + 3 ( subtract x from both sides )
2x + 1 = 3 ( subtract 1 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (2)
y = 1 + 3 = 4
solution is (1, 4 )
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two pink
marbles if the first one is NOT placed back
into
the bag before the second draw?
Give your answer as a rational number, reduced to
simplest terms.
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Answer:
[tex]Pr = \frac{1}{45}[/tex]
Step-by-step explanation:
Given
[tex]Black =5[/tex]
[tex]Pink = 2[/tex]
[tex]Blue = 3[/tex]
Required
[tex]P(Pink\ and\ Pink)[/tex]
This is calculated as:
[tex]Pr = P(Pink) * P(Pink)[/tex]
Because it is a selection without replacement, the probability is:
[tex]Pr = \frac{n(Pink)}{Total} * \frac{n(Pink) - 1}{Total - 1}[/tex]
[tex]Pr = \frac{2}{10} * \frac{2 - 1}{10 - 1}[/tex]
[tex]Pr = \frac{2}{10} * \frac{1}{9}[/tex]
[tex]Pr = \frac{1}{5} * \frac{1}{9}[/tex]
[tex]Pr = \frac{1}{45}[/tex]
8(2x + 3y)
In distributive property
Answer:
16x+24y
Step-by-step explanation:
8(2x+3y)
8*2x+8*3y
16x+24y
A rectangle has a perimeter of `52` cm. Its width is `9` cm.
what is the length of the rectangle?
PLS HELP FAST
Find the product of zeroes of the quadratic polynomial
[tex] {2x}^{2} – 13x + 15[/tex]
Step-by-step explanation:
[tex] consider \: \: {2x}^{2} - 13x + 15 = 0 \\ (2x - 3)(x - 5) = 0 \\ 2x - 3 = 0 \: \: \: \: \: or \: \: \: \: \: x - 5 = 0 \\ x = 1 \frac{1}{2} \: \: \: \: \: or \: \: \: \: \: x = 5 \\ \\ \\ hence \: the \: products \: of \: zero \: are \: x = 1 \frac{1}{2} \: and \: x = 5[/tex]
Yesterday, Janie walked 3
5
mile to a friend’s house, 1
4
mile to the store, and 3
8
mile to another friend’s house. Which is the best estimate of the distance Janie walked?
Three-fourthsmile
1 mile
1 and one-fourthmiles
2 miles
Answer:
1 and one-fourthmiles
Step-by-step explanation:
Answer:
C. 1 1/4
Step-by-step explanation:
i did the question
Determine the location and values of the absolute maximum and absolute minimum of given function: f(x)= ( -x+2)^4, Where 0<=x<=3
Answer:
The absolute maximum and the absolute minimum are (0, 16) and (2, 0).
Step-by-step explanation:
First, we obtain the first and second derivatives of the function by chain rule and derivative for a power function, that is:
First derivative
[tex]f'(x) = -4\cdot (-x+2)^{3}[/tex]
Second derivative
[tex]f''(x) = 12\cdot (-x + 2)^{2}[/tex]
Then, we proceed to do the First and Second Derivative Tests:
First Derivative Test
[tex]-4\cdot (-x+2)^{3} = 0[/tex]
[tex]-x + 2 = 0[/tex]
[tex]x = 2[/tex]
Second Derivative Test
[tex]f''(2) = 12\cdot (-2+2)^{2}[/tex]
[tex]f''(2) = 0[/tex]
The Second Derivative Test is unable to determine the nature of the critical values.
Then, we plot the function with the help of a graphing tool. The absolute maximum and the absolute minimum are (0, 16) and (2, 0).
Which theorem proves that the triangles are congruent?
A. AAS
B. SSS
C. SAS
D. ASA
Answer:
D. ASA
Step-by-step explanation:
ASA (Angle-Side-Angle) is a proof of congruence when two triangles share two angles and the side between them.
Answer:
However, note further that the congruent sides are not included sides of the two relevant angles, in which case it won't be ASA but AAS.
Therefore, the two angles are congruent by the AAS Congruence Theorem and the correct answer is C.
Step-by-step explanation:
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follow me
carry on learning
100 %sure
I need help again plz
what is the surface area of the cylinder with the hight of 8 ft and the radius of 6 ft? round your answer to the nearest thousandths
Answer:
A = 301.593 ft^2
Step-by-step explanation:
The lateral area of a cylinder of radius r and height h is
A = 2πrh. This does not include the areas of the ends of the cylinder.
Here that area is A = 2(3.14159)(6 ft)(8 ft), or
A = 301.593 ft^2
A survey was done to determine the relationship between gender and subject preference. A total of
56 students were surveyed to determine if they liked math, English, social studies, or science as their
favorite subject. The results were then broken down based on whether the respondent was male or
female.
The question is incomplete. The complete question is :
A survey was done to determine the relationship between gender and subject preference. A total of 56 students were surveyed to determine if they liked math, English, social studies, or science as their favorite subject. The results were then broken down based on whether the respondent was male or female.
Which of the following is the closest to the joint relative frequency of being a male who likes social studies ?
Solution :
A two way table used in statistics and mathematics is used to show the frequencies or the relative frequencies for any two categorical variables. One of the category is represented by the rows while the other categories by a column.
Here, in this table it is given that the total surveyed = 56 students
From the table, we know that number of males who likes social studies = 8
Therefore, the closest to the joint relative frequency for being a male who likes the subject social studies is given by :
[tex]$=\frac{8}{56}$[/tex]
[tex]$=\frac{1}{7}$[/tex]
=0.14
Nintendo is interested in the gaming experience of players for their new Mario Kart game . What type of survey should they use to gather the data?
Answer:
Online surveys
Explanation:
Online surveys will be the most suitable survey type here to gather gamers' experience with Nintendo's new game. Also being the most common and convenient type of surveys nowadays, online surveys are very much flexible and can be tailored to suit any audience, and even has a broader audience. Nintendo can use online surveys here to gather user's(all over the world) experience through their website, emailed to people directly etc. There is even a wider reach now considering the popular use of mobile devices.
Solve for n.
11(n – 1) + 35 = 3n
Answer:
n = -3
Step-by-step explanation:
11(n – 1) + 35 = 3n
Distribute
11n -11 +35 = 3n
Combine like terms
11n +24 = 3n
Subtract 11n from each side
11n+24 -11n = 3n -11n
24 = -8n
Divide by -8
24/-8 = -8n=-8
-3 =n
What is the ans of this?
Step-by-step explanation:
everything can be found in the picture
what is logarithm in mathematics
Answer:
Logarithm, the exponent or power to which a base must be raised to yield a given number.
Is -2 a solution to 4x^(3)-x^(2)+16x-4
Answer:
Not a solution
Step-by-step explanation:
In order for [tex]x=-2[/tex] to be a solution, the result after substituting must be 0:
[tex]4(-2)^3-(-2)^2+16(-2)-4\stackrel{?}{=}0[/tex]
[tex]4(-8)-4-32-4\stackrel{?}{=}0[/tex]
[tex]-32-40\stackrel{?}{=}0[/tex]
[tex]-72\neq0[/tex]
Therefore, [tex]x=-2[/tex] is not a solution to [tex]4x^3-x^2+16x-4[/tex]
SOMEONE HELP ME ASAP IM STRESSING OUT
Answer:
Use SOHCAHTOA
Step-by-step explanation:
If you don't know what this is, it means Sin=opposite/hypotenuse, cos=adjacent/hypotenuse, tan=opposite/adjacent. There is more than 1 way to solve this, but here's how I did it.
Starting with part A, we are trying to find the hypotenuse of the triangle. We have an angle and the side opposite of that angle, so we can use the sin function.
Sin(54) = 12.2 / hypotenuse
Sin(54) * hypotenuse = 12.2
Hypotenuse = 12.2 / sin(54) = 15.1
Now for Part B
Finding the last angle
180-90-54=36
So now, we have this angle and the side adjacent to it. We are trying to find the opposite side, so let's use the tan function
Tan(36) = opp / 12.2
opp = tan(36) * 12.2 = 8.9
You can double check these answers using pythagorean theorem. Hope this helps
1
Select the correct answer from each drop-down menu.
The function () = 13 has been transformed, resulting in function h.
h(t) = -(1 + 2)2 – 4
To create function h, function fwas translated 2 units
„. translated 4 units
and reflected across the
Answer:
To create function h, function f was translated 2 units right , translated 4 units up and reflected across the x axis
Step-by-step explanation:
Given
[tex]f(x) = x^3[/tex]
[tex]h(x) =-(x + 2)^3 - 4[/tex]
Required
Complete chart
First: f(x) was translated right by 2 units
The rule of right translation is [tex](x,y) \to (x + 2,y)[/tex]
So, we have:
[tex]f'(x) = f(x + 2)[/tex]
[tex]f'(x) = (x + 2)^3[/tex]
Next: f'(x) was translated up by 4 units
The rule of down translation is [tex](x,y) \to (x,y+4)[/tex]
So, we have:
[tex]f"(x) = f'(x) +4[/tex]
[tex]f"(x) = (x + 2)^3 +4[/tex]
Lastly, f"(x) was reflected across the x-axis;
The rule of this reflection is: [tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]h(x) = -f"(x)[/tex]
[tex]h(x) = -[(x+2)^3 + 4][/tex]
Remove bracket
[tex]h(x) = -(x+2)^3 - 4[/tex]
In parallelogram LMNP if PQ=21 find QM.
Answer:
QM = 21
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
QM = PQ = 21