Answer:
[tex]\sqrt[3]{512} = 8[/tex]
Step-by-step explanation:
[tex]\sqrt[n]{x} = x^ {\frac{1}{n}}[/tex]
[tex]\sqrt[3]{512} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 }\\\\ = \sqrt[3]{2^9} \\\\= (2^9)^{\frac{1}{3}}\\\\ = 2^{ 9 \times \frac{1}{3}} \\\\= 2^3\\\\ = 8[/tex]
Which region represents the solution to the given system of inequalities?
{y < -1/2x }
[y ≥ 2x+3 }
A
B
C
D
The region D represents the solution of the given system of inequalities.
What is the system of linear inequalities?
A system of linear inequalities is a collection of linear inequalities in the same variables.
How to shade the graph of inequalities?Rearrange the equations so "y" is on the left and everything else on the right. Plot the "y≤ ,y≥ ,y> or y< " line.Shade above the line for a " greater then" and below for the "less than".According to the given equation.
We have system of inequalities.
[tex]y < \frac{-1}{2}x[/tex]
and [tex]y \geq 2x + 3[/tex]
Also, the graph of the inequalities.
Since, y is less than [tex]-\frac{1}{2} x[/tex] shade below the line.
And, for the second inequality.
y is greater than and equal to 2x + 3 therefore, shade the above the line.
So, the common region D we get after the shading.
Hence, region D represents the solution of the given system of inequalities.
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PLEASE HELP LAST QUESTION MATH
9514 1404 393
Answer:
A = 48°B = 115°C = 115°D = 67°E = 48°Step-by-step explanation:
A and the angle marked 48° are vertical angles, hence congruent.
A = 48°
B is part of a linear pair with the angle marked 65°, so it is supplementary to that angle.
B = 115°
C is an alternate interior angle with angle B, so is congruent.
C = 115°
D is a vertical angle with the one marked 67°, so is congruent.
D = 67°
E is an alternate exterior angle with the one marked 48°, so is congruent. It is also a corresponding angle with A, so congruent to that as well.
E = 48°
What is the
equation of the graphed line written in
standard form?
O X=-3
O y=-3
O x+y=-3
x-y=-3
Answer:
x = -3
Step-by-step explanation:
This is a vertical line. The x value remains constant.
x = -3
Answer:
x= 5.45 or -5.45
Step-by-step explanation:
What is the first step when factoring the trinomial .,
Answer:
Step 1: Set up a product of two ( ) where each will hold two terms. Step 2: Find the factors that go in the first positions. Step 3: Find the factors that go in the last positions. We need two numbers whose product is 9 and sum is 2.p explanation:
Answer:
A❤️✌️❤️✌️❤️Aaaaaa
Evaluate the following expression. You should do this problem without a
calculator.
In e^e
A. 0
B. e^e
C. 1
D. e
Answer:ln is called the natural log, or log to the base e. ln can also be written as
So, we can write the given expression as
The property of logs is:
This mean if the number a is raised to log whose base is the same as the number a itself, then the answer will be equal to the argument of the log which is x.
In the given case, the number e and the base of log are the same. So the answer of the expression will be the argument of log which is 6.
so, we can write
Thus, the correct answer is option D
Step-by-step explanation:
Which expression represents the greatest value?
Answer:
"-2" is the same in all expressions, and it's just plus or minus. so let's ignore the "-2" and look only at the rest
+1 is the greatest then
so -2+1 is the greatest
The length of the rectangle, in feet, is represented by (5x + 4). Find the perimeter of the rectangle.
Can one of you help me pls it's urgent
Answer:
Hello,
I am pretty sure that is is the last answer. 3√3.
Step-by-step explanation:
I hope this helps!
Answer:
The last answer
Step-by-step explanation:
This is asking you to do 9 divided by 3. After you divide 3 by 9 divided by 3 to get the answer
9 divided by 3 equals 3
3 divided by 3 equals 1
Mr.Williams drew
△
A
B
C
on a coordinate grid and asked his students to determine the transformations that will result in a transformed figure
△
A
`
B
`
C
`
such that
△
A
`
B
`
C
`
is similar but NOT congruent to
△
A
B
C
.
Two student responses are shown below.
Student 1: Reflect
△
A
B
C
across the y-axis and then dilate it by a scale factor of 1 with the center of dilation at the origin.
Student 2: Dilate
△
A
B
C
by a scale factor of 2 and the center of dilation at the origin and then reflect it across the x-axis.
Which statement is true?
A.
Neither student 1 nor student 2, because dilations and reflections preserve both side lengths and angle measures.
B.
Both student 1 and student 2, because dilations and reflections preserve angle measures but not side lengths.
C.
Only student 2, because dilations preserve angle measures and side lengths are proportional.
D.
Only student 1, because this dilation preserves angle measures and side lengths.
Answer: Answer C , Only student 2, because dilation preserve angle measures and side lengths are proportional
The true statement is only student 2, because dilations preserve angle measures and side lengths are proportional.
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.
In Reflection the figure is flipped. In other words, a figure when undergoes reflection becomes it's mirror image.
Dilation preserves the angle measures, so the triangles will be similar.
Reflection, on the other hand, will result in congruent triangles.
Student 1 said that Reflect △ABC across the y-axis and then dilate it by a scale factor of 1 with the center of dilation at the origin.
If the scale factor is 1, then the dilated image will be the same as the original image.
So the resulting triangle will be congruent to the original triangle.
In the case of what student 2 said, scale factor is 2. Triangle is enlarged.
So the resulting image will be similar to the original one.
Hence student 2 is correct.
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An apartment has 90 square meters of carpeting. How much is this in square feet? Use the following conversion: 1 square meter is 10.8 square feet.
An explanation on how to do it would also be amazing!
Answer:
Area = 972 square feet
Step-by-step explanation:
Let 90 square meter be = x square feet
Given :
square meter square feet
1 10.8
90 x
[tex]\frac{1}{90} = \frac{10.8}{x}\\\\1 \times x =10.8 \times 90 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ cross \ multiply \ ]\\\\x = 972[/tex]
Therefore , 90 square meter = 972 square feet
A planet has a circular orbit around a star. It is a distance of 98,000,000 km from the centre of the star. It orbits at an average speed of 45,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.
Answer:
91 days
Step-by-step explanation:
Given that,
A planet is at a distance of 98,000,000 km from the centre of the star.
It orbits at an average speed of 45,000 km/h.
The speed of an object is given by the distance covered divided by the time taken. So,
[tex]v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{98,000,000}{45,000}\\\\t= $$2177.77\ h[/tex]
or
t = 90.74 days ≅ 91 days
So, the planet take 91 days to orbit the star.
Please help I’ll give brainliest
Answer:
The answer is 9².
Step-by-step explanation:
9⁵ = 59049
9³ = 125
59049 ÷ 125 (9⁵ ÷ 9³) = 81
9² (9 × 9) = 81
Plz help, its due soon!! Ill give brainliest
Hence, determine the length of AB. (Correct to TWO decimal places).
Answer:
sorry also maybe a diagram would have helped
Answer this question pls? Its 20 pts
Answer:
B a = 180 -77-60
Step-by-step explanation:
The angles add to 180 degrees since they form a straight line
77+ 60+a = 180
a = 180 -77-60
The answer is B.
Step-by-step explanation:
We know that the sum of angles in a straight line = 180°
Therefore:
77° + 60° + a = 180°
a = 180° - 77° - 60°
Hence, option B is the answer.
So sánh √144 và √169
Answer:
Step-by-step explanation:
√144 < √169
Answcăn169
Step-by-step explanat
ion:cvăn 144
PQR is a triangle. PR = 13 cm, PQ = 12 cm and angle QPR = 30°
Calculate the length of QR.
Answer:
6.55 cm
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.
Cosine rule is used to show the relationship between sides and angles of a triangle. If a, b, and c are sides of a triangle, while A, B, and C are angles opposite to the corresponding sides. Then:
c² = a² + b² - 2ab*cos(C)
Given that PR = 13 cm, PQ = 12 cm and angle QPR = 30°, hence:
QR² = PR² + PQ² - 2(PR)(PQ)cos(∠QPR)
QR² = 13² + 12² - 2(13)(12)cos(30) = 169 + 144 - 270
QR² = 43
QR = 6.55 cm
Please help, how do you write 4.06 in word form and expanded form?
Answer:
four and six one hundredths
406/100
4.06 = (4 x 1) + (0/10) + (6/100)
Find the area of the circle.
452.16 ft2
37.68 ft2
1808.64 ft2
113.04 ft2
Answer:
113.04^2
Step-by-step explanation:
radius = diameter / 2
=12/2
=6 ft
area of circle = πr^2
=3.14 * 6^2
=3.14 *36
=113.04 ft^2
Answer:
[tex]{ \boxed{ \tt{ formular : { \tt{area}} = \pi {r}^{2}}}} \\ { \green{radius = \frac{diameter}{2} = \frac{12}{2}}} \\ area = \frac{22}{7} \times { (\frac{12}{2} )}^{2} \\ { \boxed{area = 113.04 \: {ft}^{2} }} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
WILL MARK BRANLIEST
When describing a rotation, what
information must you include?
Answer:
The point you are rotating at (also called the centre of rotation)
The angle of rotation (usually in degrees but I don't know your school)
Direction of the turn
Step-by-step explanation:
i need help asap Please
Answer: F. is a linear relation.
Step-by-step explanation:
Answer:
G
Step-by-step explanation:
Equation of the eventual line:
(y-4)/(5-4) = x
y-4 = x
y = x + 4
this equation can’t be used to determine the last three values. In fact, for examples:
7 = 2 + 4
7 = 6 (false)
So the relation is non linear
Help
Will
Give
Brainlist
Answer
Answer:
[tex]\frac{7}{4.1}[/tex]
Step-by-step explanation:
the word ''to'' means over
Find 3v - 4w if v = -3i and w=-i + 5j. Use < > for
vector notation.
Answer:
[tex]<-5, 20>[/tex]
Step-by-step explanation:
What we're given:
[tex]\vec{v}=-3i[/tex] [tex]\vec{w}=-i+5j[/tex]The vector [tex]3v-4w[/tex] is then [tex]3(-3i)-4(-i+5j)=-9i+4i-20j=-5i+20j\implies \boxed{<-5, 20>}[/tex]
Identify the maximum value of the function y = -472 - 24x + -36.
Answer:
I assume that this is a quadratic equation, something like:
y = -47*x^2 - 24x + (-36)
we can rewrite it as:
y = -47x^2 - 24x - 36
Ok, this is a quadratic equation and we want to find the maximum value.
First, you can notice that the leading coefficient is negative.
This means that the arms of the graph will open downwards.
Then we can conclude that the vertex of the equation is the "higher" point, thus the maximum value will be at the vertex.
Remember that for a general function
y = a*x^2 + b*x + c
the vertex is at:
x = -b/2a
So, in our case:
y = -47x^2 - 24x - 36
The vertex will be at:
x = -(-24)/(2*-47) = -12/47
So we just need to evaluate the function in this to find the maximum value.
Remember that "evaluating" the function in x = -12/47 means that we need to change al the "x" by the number (-12/47)
y = -47*(-12/47)^2 - 24*(-12/47) - 36
y = -32.94
That is the maximum value of the function, -32.94
What is the value of 2 + (-2/3) ^2 ÷1/3 ?
16
3
-2
0
.
Answer:
Doing the test rn got 3 1/3 i dont know if u should trust me but just try
Step-by-step explanation:
A fruit juice recipe uses three ingredients. Two of the ingredients use a ratio of 2 ounces of pineapple juice to 5 ounces of fruit punch. Part A: Grape a line on the coordinates plane to represent this relationship
Part B: Create an equation to represent this relationship. Let x represent ounces of pineapple juice. Let y represent ounces of fruit punch.
Answer:
(a) See attachment
[tex](b)\ y =2.5x[/tex]
Step-by-step explanation:
Given
[tex]x \to pineapple[/tex]
[tex]y \to fruit[/tex]
[tex]x : y =2 : 5[/tex]
Solving (a): The graph
First, we create an equation from [tex]x : y =2 : 5[/tex]
Express as fraction
[tex]\frac{x }{ y} =\frac{2 }{ 5}[/tex]
Cross multiply
[tex]2y = 5x[/tex]
See attachment for graph
Solving (b): An expression that represents the relationship
In (a), we have:
[tex]2y = 5x[/tex]
Divide by 2
[tex]y = \frac{5}{2}x[/tex]
[tex]y =2.5x[/tex]
Need it fastttttt plssss I will give brainly
Answer:
385
Step-by-step explanation:
(3/5 x 10/8) - (7/9 x 3/8) + (4/5 x 7/2)
=3/4-7/24+14/5
=90/120 - 35/120 + 840/120
=46200/120
=385
Hope this helps!
Given the following statement. "If two angles form a linear pair, then they are supplementary",
which of the following is the converse of the statement?
ASAP ❤️
Answer:
The converse of the statement is: If two angles are supplementary, then they form a linear pair.
Step-by-step explanation:
The statement is a representation of the following compound proposition: [tex]p \rightarrow q[/tex], where:
[tex]p =[/tex] Two angles form a linear pair
[tex]q =[/tex] They are supplementary
The converse of this implication is represented by the following inferential formula:
[tex]q \rightarrow p[/tex]
Therefore, the converse of the statement is:
If two angles are supplementary, then they form a linear pair.
Tell whether the equation Y=Y true or false
Answer:
its true trust biggie on this one fam
Step-by-step explanation:
its true broski
Question 16
Use the rule for order of operations to simplify the expression as much as possible:
Question Help: Video
Submit Question
ps://www.myopenmath.com/asset
1721&ald-80137968
Answer:
16
Step-by-step explanation:
[tex]5 + 9 \div 3 + 4 \times 2 \\ = 5 + 3 + 8 \\ = 16[/tex]
Multiplication and division are priority to addition and subtraction
Brainliest please
