x=57
Step-by-step explanation:
x+x+2+x+4=177
3x+6=177
3x=177-6
3x=171
x=57
Therefore the three consecutive numbers are:
57;59;61
What is the following sum? 2 (RootIndex 3 StartRoot 16 x cubed y EndRoot) 4 (RootIndex 3 StartRoot 54 x Superscript 6 Baseline y Superscript 5 Baseline) 4 x (RootIndex 3 StartRoot 2 y EndRoot) 12 x squared y (RootIndex 3 StartRoot 2 y squared EndRoot) 8 x (RootIndex 3 StartRoot x y EndRoot) 12 x cubed y squared (RootIndex 3 StartRoot 6 y EndRoot) 16 x cubed y (RootIndex 3 StartRoot 2 y squared EndRoot) 48 x cubed y (RootIndex 3 StartRoot 2 y EndRoot).
Equivalent expressions are expressions that have the same value, and can be used interchangeably.
The result of the sum [tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex] is [tex]4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})[/tex]
The expression is given as:
[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex]
Rewrite the expression as:
[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (\sqrt[3]{2^4x^3y}) + 4 (\sqrt[3]{3^3 \times 2x^6y^5})[/tex]
Evaluate the roots
[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (2x\sqrt[3]{2y}) + 4 (3x^2y\sqrt[3]{2y^2})[/tex]
Open the brackets
[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 4x\sqrt[3]{2y} + 12x^2y\sqrt[3]{2y^2})[/tex]
The above expression cannot be further simplified.
Hence, the result of the sum [tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex] is [tex]4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})[/tex]
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The sum of the expression is [tex]4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex].
We have to determine, the sum of the given expression.
According to the question,
Expression; [tex]2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})[/tex]
To determine the sum of the given expression following all the steps given below.
Rewrite the expression term in the form of their cubes,
[tex]\rm = 2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})\\\\ = 2(\sqrt[3]{2^4x^3y} +4(\sqrt[3]{3^3 \times 2 \times x^6y^5})\\\\= 2\times 2(\sqrt[3]{x^3y} +4\times 3(\sqrt[3]{ 2 \times x^6y^5})\\\\= 4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\\\=4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex]
Hence, The sum of the expression is [tex]4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex].
For more details refer to the link given below.
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Evaluate -1 - [-z] where z = -2
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\textsf{-1 - [-z]}\\\\\huge\textsf{= -1 - [- -2]}\\\\\huge\textsf{= -1 - - 2}\\\\\huge\textsf{= -1 + (-2)}\\\\\huge\textsf{= -1 - 2}\\\\\huge\textsf{= -3}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{-3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
-3
Step-by-step explanation:
Evaluate - 1 - ( - z ) where z = -2
you can find this out because when there are two minuses by each other it equals a positive but then z = -2 so that adds another minus so it narrows it down to -1+-2 which equals 3
Task-1:
1. Which of the following are in proportion?
a) 21, 35, 24, 40 b) 75, 21, 18, 6
Answer:
1
Step-by-step explanation:
what is 3.95 rounded to the nearest whole number
Answer:
4
Step-by-step explanation:
Answer:
3.95 ≈ 4
Step-by-step explanation:
A whole number refers to a whole integer, meaning there can be no decimals or fractions. Follow the rule 4 and below to round down, and 5 and above to round up.
PLS HELP WILL MARK YOU BRAINLIEST, NO FAKE ANSWERS!!
Answer:
1. if x + 5 = 12, then x = 7
:Subtraction property of equality
2. If x + y = 20, and y = 5, then x + 5 = 20.
:Substitution property of equality
3. If 2x3 = 11, then 11 = 2x - 3.
:Symmetric property of equality
An art teacher divided her students into two groups of equal size.
25 of the first group prefers acrylic paint over watercolor paint.
60% of the second group prefers acrylic paint over watercolor paint.
What fraction of the students prefers watercolor paint over acrylic paint?
Answer:
67.5% or 68%
Step-by-step explanation:
Say each group has 100 students. 25% of 100, is 25 students.
25 students of group 1 prefers acrylic. That leaves 75 students that prefer watercolor.
60% of group 2, or 60 students, prefer water color. That leave 40 students that prefer acrylic.
25+40=65
60+75=135
That is true, since there are 200 students in total.
Now set up a ratio, with watercolor over acrylic.
135:65
135 is 67.5% of 200.
I really don't know if that is a choice, so maybe 68%?
-hope it helps
What value(s) of x will make x2 = 25 true?
A. 5 and -5
B. 5
C. 5
D. 12.5 and -12.5
x^2 = 25
x = -5, 5
Check your work!
(-5)^2 = 25
(5)^2 = 25
Hope this helps! :)
how to find parallelogram height with angles and side length
Answer:
h = a * sin α
Step-by-step explanation:
The easiest answer is utilizing Law of Sines: a / Sin A = b / Sin B = c /Sin C
a and ∠α : known
∠AEB = 90°
a / Sin 90° = h / Sin α .. Sin 90° = 1
h = a * sin α
A cylindrical, wooden table top has a density of 0.42 g cm 3 and a mass of 0.25 kg.
The table top has a depth of 6 cm.
Find the radius of the table top, rounded to 1 dp.
The radius of the table top, rounded to 1 dp is 5.6 cm
From the question,
We are to determine the radius of the table top
First, we will determine the volume of the cylindrical wooden table
From the given information
Density = 0.42 g/cm³
Mass = 0.25 kg = 250 g
Using the formula
[tex]Volume = \frac{Mass}{Density}[/tex]
∴ [tex]Volume = \frac{250}{0.42}[/tex]
Volume = 595.238 cm³
Now, for the radius of the table top
Using the formula for volume of a cylinder
[tex]V = \pi r^{2}h[/tex]
Where V is the volume
r is the radius
and h is the height or depth
From the given information
h = 6cm
Putting the parameters into the formula
[tex]595.238 = \pi r^{2} \times 6[/tex]
∴ [tex]r^{2} = \frac{595.238}{6\pi }[/tex]
[tex]r^{2} =31.57835667[/tex]
[tex]r =\sqrt{31.57835667}[/tex]
r = 5.6 cm
Hence, the radius of the table top, rounded to 1 dp is 5.6 cm
Learn more here: https://brainly.com/question/11178104
To make pink paint you need 2 pints of white paint and 1 pint of red paint. How many pints of red paint is needed for 10 pints of white paint? *plz i neeeed help
Answer:
5 pints is needed
Step-by-step explanation:
2 pints of white paint for pink
1 pint of red for pink
10 pints of white paint = 5 pints of red
Peter says, "If you subtract 16 from my number and multiply the difference by - 2, the result is
- 34." What is Peter's number?
Answer:
33
Step-by-step explanation:
Let the number be x,
=> (x - 16) -2 = - 34
=> -2x + 32 = -34
=> -2x = - 34 - 32 (by transposing)
=> -2x = -66
=> x = -66/-2 = 33
Peter's number is 33.
Hope you understood.
Use the graph to describe what transformation has taken place. List your answer below.
please help!
Answer:
reflection over the y axis
Step-by-step explanation:
PLZ HELP
If a triangle has one interior angle measuring 102°, what is a possible pair of measurements for the other two
interior angles?
Answer:
39
Step-by-step explanation:
There is a possibility that this triangle is isosceles. Angles in triangles add up to 180. 102-180=78. Since we are assuming this triangle is isosceles, we can just divide 78 by 2 and get 39 which might be the other two angles. They might both be 39 degrees.
Since triangle angles must add up to 180 degrees, the other angles must add up to 78 degrees. One possible pair could be if you divided 78 in half, which is 39. There could also be tons of more I can provide a list of below:
39,39
40,38
35,43
how to see if matrix is one to one calculator
Answer:
look at the pivots (the leading 1's of the rows)
Step-by-step explanation:
Then, look at the pivots (the leading 1's of the rows). If we have a pivot in every column, then the nullspace of the matrix (and hence the kernel of T) is zero-dimensional. So, T is one-to-one if and only if the REF has pivot in every column.
For homework Tina is asked to write down the opposite value for each number listed which comparison did Tina write incorrectly
In writing down the opposite value of each number, the comparison Tina wrote incorrectly is: Comparison X
Recall:
Opposite values of a number are numbers that are of the same distance from point zero on a number line.For example, if a is a number, the opposite of a is -a. Or if -3 is a number, the opposite of -3 is 3 because -3 and 3 are both 3 units away from point zero on a number line.Thus, Tina's comparison is given in the diagram attached below.
The comparison labelled X is incorrect because -(-9) = 9. Opposite of 9 is -9.
Therefore, in writing down the opposite value of each number, the comparison Tina wrote incorrectly is: Comparison X
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1085/7 show your work
Answer:
155
Step-by-step explanation:
Can someone please take the time out of their day and help me with this question
Answer:
76, 76 104
Step-by-step explanation:
Angle 3 is vertical so it is congruent to Angle 2.
Angle 6 is corresponding, so it is congruent to Angle 2.
Angle 8 is linear to Angle 6, so they add to 180
Answer:
see explanation
Step-by-step explanation:
(a)
∠ 2 and ∠ 3 are vertically opposite angles and are congruent , then
∠ 3 = 76°
(b)
∠ 3 and ∠ 6 are corresponding angles and are congruent , then
∠ 6 = 76°
(c)
∠ 2 and ∠ 8 are same- side exterior angles and sum to 180° , that is
∠ 8 + 76° = 180° ( subtract 76° from both sides )
∠ 8 = 104°
You must write your answer in fully simplified form.
8a= 5
Answer:
x = 5/8
Step-by-step explanation:
[tex]\frac{8x}{8} = \frac{5}{8}[/tex]
x=[tex]\frac{5}{8}[/tex]
please answer!!!!!!!!!
Answer:
C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 5.
Step-by-step explanation:
I need help with this
Answer:
5 + 5 = 10
10 + 10 = 20
20 + 20 = 40
40 + 40 = 80
80 is the answer.
3(x+3/4+5-x/4-x/6)=10
3(x+3-4+5-x-4-x-6)=10
-3x/-3= -28/3
x= -28/3
The base of a triangle is v245 cm and its height is V20 cm. Find its area.
The given information of the base length and the height of the
rectangle are sufficient to find the area of the triangle.
Correct response:
The area of the triangle is 35 cm.²Methods used for finding the areaGiven that the parameters are;
The base of the triangle = [tex]\sqrt{245}[/tex] cm
The height of the triangle = [tex]\mathbf{\sqrt{20}}[/tex] cm
Required:
To find the area of the triangle
Solution:
[tex]Area \ of \ a \ triangle = \mathbf{ \dfrac{1}{2} \times base \times height}[/tex]Therefore, the area, A, of the given triangle is given as follows;
[tex]A = \dfrac{1}{2} \times \sqrt{245} \ cm \times \sqrt{20} \ cm= \dfrac{1}{2} \times \sqrt{4,900} \ cm^2= \dfrac{1}{2} \times 70 \ cm^2 = 35 \ cm^2[/tex]
The area of the triangle, A = 35 cm²Learn more about the area of plane shapes here:
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For any two numbers a and b, the product of a − b times itself is equal to a^2 − 2ab + b^2. Does this familiar algebraic result hold for dot products of a vector u − v with itself? In other words, is it true that (u − v) • (u − v) = u • u − 2u • v + v • v? Justify your conclusion, trying not to express vectors u and v in component form.
Answer:
yes; the distributive property applies to dot products
Step-by-step explanation:
The product of (a-b) with itself is ...
(a -b)·(a -b) = a² -2ab +b²
because the commutative and distributive properties apply to multiplication.
(a -b)·(a -b) = a(a -b) -b(a -b) = a² -ab -ba +b² = a² -ab -ab +b² = a² -2ab +b²
__
The same expansion works for the dot product operation, because the commutative and distributive properties hold for that operation, as well.
(u −v)•(u −v) = u•(u -v) -v•(u -v) = u•u -u•v -v•u +v•v
= u•u -u•v -u•v +v•v = u•u -(u+u)•v +v•v = u•u -2u•v +v•v
_____
Additional comment
The proof of any of the properties of the dot product relies on expressing the vectors in component form. The distributive property is no exception.
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
[please put in correct order]
Answer:
it's the point T.
Hope it helps
Explain wether or not each of the following is a one to one function and why please
Answer:
a) not one to one function; horizontal line intersects the graph of the function more than once.
b) yes it's a one to one function; the graph passes the horizontal line test
c) not one to one function; the graph doesn't pass the horizontal line test
d) yes it's a one to one function; the horizontal line doesn't intersect the function more than once
What are coordinate of (2,-3) when it is reflected over X axis.
Answer:
the asnwer is (2,3)
Step-by-step explanation:
how will you know if two variables are proportional on a graph?
Answer:
Compare the constants of the two variables.
Changed at the same rate, or by the same factor, then they are directly proportional. For example, since the x-coordinates changed by a factor of 2 while the y-coordinates also changed by a factor of 2, the two variables are directly proportional.
Step-by-step explanation:
Someone please help no need to show work just answer (I will give brainliest)
Answer:
image 1 : 3.78
image 2 : 10.20
Step-by-step explanation:
I haven't done geometry in a bit but I'll try to help!
Edward deposited $10,000 into a savings account 3 years ago. The simple interest rate is 4%. How
much money did Edward earn in interest?
Substitute the values into the equation.
Interest = $_• • years
Answer: 10,400
Step-by-step explanation:
I= ? P= 10,000 R= 4% T= 3 yrs
what cubed is equal to 1000?
Answer:
10
Step-by-step explanation: