[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{(6y^2)^3 + 24y^6}}[/tex]
[tex]\huge\boxed{\mathsf{= 6y^{2\times3} + 24^6}}[/tex]
[tex]\huge\boxed{2\times3 = \bf \boxed{\bf 6}}[/tex]
[tex]\huge\boxed{= \mathsf{6y^6 + 24y^6}}[/tex]
[tex]\huge\boxed{= \mathsf{216y^6 + 24y^6}}[/tex]
[tex]\huge\boxed{\text{COMBINE the LIKE TERMS}}[/tex]
[tex]\huge\boxed{\mathsf{= 240y^6}}[/tex]
[tex]\huge\boxed{\mathsf{Answer: \bf 240y^6}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
N tells about in a math question
Answer:
N means Natural Number in Maths
Step-by-step explanation:
N=natural,Z=integer,R=real number
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Esmerelda is a math student who needs to gather a sample of 10 participants to conduct a survey about U.S. residents. She asks her 3 siblings, her 2 parents, and telephones 5 friends and asks them to complete her questionnaire. This is an example of a ______________________.
A. convenience sample
B. systematic sample
C. self-selecting sample
D. representative sample
Answer:
Representative sample is your answer ....
Is a – b a positive number or a negative number? How do you know?
b b
a
1
Please help I will give you Brainlyest
Answer:
A positive number.
Any negative subtracted from a positive will always be positive.
Answer:
a-b will be and will always be a POSITIVE number.
This is because a is positive, and b is negative.
However, when you subtract a negative number, you are actually just adding it.
So, a - (-b) = a+b.
This is why, it will always be positive.
Let me know if this helps!
Which of the following expressions are equivalent to -44+ 40?
Choose all answers that apply:
-4(11 - 10)
B
2(-22 +20)
None of the above
Answer:
answer for your question is B 2(-22+20)
What is the value of r?
Answer:
r = 11
Step-by-step explanation:
Hi there!
This scenario represents a linear relation, given the equation [tex]m=rp+k[/tex].
Linear equations are typically written in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept. As you can see, [tex]y=mx+b[/tex] and the given equation [tex]m=rp+k[/tex] share the same form.
This makes r the slope. This is also stated in the question, as r is the amount of money ($) paid per page.
The ordered pairs in the table represents points on a graph, if we were to graph this. For example, (9, 308) and (12, 341) both fall on the graph of this relation.
To solve for r, we must solve for the slope using the slope equation:
[tex]r=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
We can use any two points from the table in this equation. For example, (9, 308) and (12, 341):
[tex]r=\displaystyle \frac{341-308}{12-9}\\\\r=\displaystyle \frac{33}{3}\\\\r=11[/tex]
Therefore, the value of r is 11.
I hope this helps!
Which statement about this system of equations is true?
5
A.
The system has no solution.
The system has a unique solution at (0,0).
B.
C. The system has a unique solution at (0,3).
D. The system has infinitely many solutions.
Answer:
A
Step-by-step explanation:
No solution because the line will never intersect each other (cuz the gradient is the same)
express 0·4393939... as a fraction in its lowest term
Answer:
x= 439/999
Step-by-step explanation:
let x= 0.439439.... -> eq.1
1000x= 439.439439.... -> eq.2
eq.2-eq.1 => 1000-x= 439.439....-0.439439...
999x= 439
x= 439/999
Answer:
[tex]\frac{29}{66}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating digits 39 placed after the decimal point.
let x = 0.43939... ( multiply both sides by 10 and 1000 )
10x = 4.3939... → (1)
1000x = 439.3939... → (2)
Subtract (1) from (2) eliminating the repeating digits
990x = 435 ( divide both sides by 990 )
x = [tex]\frac{435}{990}[/tex] = [tex]\frac{29}{66}[/tex] ← in simplest form
What is the slope of the line that
passes through these two points?
(0, 2)
(3, 8)
Remember, given two points,
(x1, yı)
Slope
rise (y2-yı)
(X2,92) run (x2-x1)
Simplify your answer completely.
Enter
Answer:
2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
m = ( 8-2)/(3-0)
= 6/3
= 2
Answer:
2
Brainliest, please!
Step-by-step explanation:
(0, 2)(3, 8)
y = +6
x = +3
y/x = 6/3 = 2
calculate area and perimeter
Answer:
area ≈ 12.505
perimeter ≈ 16.1684
Step-by-step explanation:
We are given
- the radius of the circle (and therefore area of the circle)
- the area of the triangle
We want to find
- angle AOB/AOT. We want to find this because 360/the angle gives us how many OABs fit into the circle. For example, if AOT was 30 degrees, 360/30 = 12 (there are 360 degrees in a circle, so that's where 360 comes from). The area of the circle is equal to πr² = π6² = 36π, and because AOT is 30 degrees, there are 12 equal parts of sector OAB in the circle, so 36π/12=3π would be the area of the sector. A similar conclusion can be reached from the circumference instead of the area to find the distance between A and B along the circle, and OA + AB + BO = the perimeter of the minor sector.
First, we can say that OAT is a right triangle because a tangent line is perpendicular to the line from the center to the point on the circle, so AT is perpendicular to OA. This forms two right angles, one of which is OAT
One thing that we can start to solve is AT. We know that the area of a triangle is equal to base * height /2, and the height of this triangle is AO, with the base being AT. Therefore, we can say
15 = AO * AT / 2
15 = 6 * AT / 2
15 = 3 * AT
divide both sides by 3 to isolate AT
AT = 5
Because OAT is a right triangle, we can say that the hypotenuse ² = the sum of the squares of the two other lengths. The hypotenuse is opposite of the largest angle (in this case, the right angle, as in a right triangle, the right angle is always the largest), so it is OT in this case. The other two sides are OA and AT, so we can say that
OA² + AT² = OT²
5²+6² = OT²
25+36=61=OT²
square root both sides
OT = √61
Next, the Law of Sines states that
sinA/a = sinB/b = sinC/c with angles A, B, and C with sides a, b, and c. Corresponding sides are opposite their corresponding angles, so in this case, AT corresponds to angle AOT, OT corresponds to angle OAT, and AO corresponds to angle ATO.
We want to find angle AOT, as stated earlier, so we have
sin(OAT)/OT = sin(ATO)/OA = sin(AOT)/AT
We know the side lengths as well as OAT/sin(OAT) and want to figure out AOT/sin(AOT), so one equation that helps us get there is
sin(OAT)/OT = sin(AOT)/AT, encompassing our 3 known values and isolating the one unknown. We thus have
sin(90)/√61 = sin(AOT) /5
plug in sin(90) = 1
1/√61 = sin(AOT)/5
multiply both sides by 5 to isolate sin(AOT)
5/√61 = sin(AOT)
we can thus say that
arcsin(5/√61) = AOT ≈39.80557
As stated previously, given ∠AOT, we can find the area and perimeter of the sector. There are 360/39.80557 ≈ 9.04396 equal parts of sector OAB in the circle. The area of the circle is πr² = 36π, so 36π / 9.04396 ≈ 12.505 as the area. The circumference is equal to π * diameter = π * 2 * radius = 12 * π, and there are 9.04396 equal parts of arc AB in the circumference, so the length of arc is 12π / 9.04396 ≈ 4.1684. Add that to OA and OB (both are equal to the radius of 6, as any point from the center to a point on the circle is equal to the radius) to get 6+6 + 4.1684 = 16.1684 as the perimeter of the sector
Here is a list of fractions 18/45 14/30 10/25 8/20 16/40 one of these fractions are not equivalent to 2/5 write down this fractions
Answer:
14/30Step-by-step explanation:
How to simplify: • divide both numerator and denominator by their GCF.18/45= 18 ÷ 9 / 45 ÷ 9= 2/514/30= 14 ÷ 2 / 30 ÷ 2= 7/1510/25= 10 ÷ 5 / 25 ÷ 5= 2/58/20= 8 ÷ 4 / 20 ÷ 4= 2/516/40= 16 ÷ 8 / 40 ÷ 8= 2/5[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
[tex]\frac{14}{30}[/tex] is not equivalent to [tex]\frac{2}{5}[/tex] in the list of fractions [tex]\frac{18}{45}, \frac{14}{30} , \frac{x}{y} \frac{10}{25}, \frac{8}{20}, \frac{16}{40}[/tex].
Equivalent FractionsEquivalent fractions represent the same value even though they look different.
How to determine the Equivalent fractions?We know we can find an equivalent fraction of a given fraction by or dividing both the numerator and denominator of the given fraction with the same number (maybe LCM or HCF of the numerator or denominator).
[tex]\frac{18}{45}=\frac{18/9}{45/9}=\frac{2}{5}[/tex] (since [tex]9[/tex] is HCF of [tex]18, 45[/tex])
[tex]\frac{14}{30}=\frac{14/2}{30/2}=\frac{7}{15}[/tex] (since [tex]2[/tex] is HCF of [tex]7, 15[/tex])
[tex]\frac{10}{25} =\frac{10/5}{25/5} =\frac{2}{5}[/tex] (since [tex]5[/tex] is HCF of [tex]10, 25[/tex])
[tex]\frac{8}{20} =\frac{8/4}{20/4} =\frac{2}{5}[/tex] (since [tex]4[/tex] is HCF of [tex]8, 20[/tex])
[tex]\frac{16}{40} =\frac{16/8}{40/8} =\frac{2}{5}[/tex] (since [tex]8[/tex] is HCF of [tex]16, 40[/tex])
Thus, [tex]\frac{14}{30}[/tex] is not equivalent to [tex]\frac{2}{5}[/tex].
Learn more about Equivalent fractions here- https://brainly.com/question/17912
#SPJ2
10.
Define an operation ★ on the set of real numbers as follows:
a ★ b = 0.5ab
If 0.1 ★ b = 10, then evaluate bb.
500
200
20
50
Answer:
0.05
0.02
0.2
0.5 may be ..but if this is wrong answer then sorrr
9) A trapezoid has an area of 60 cm? and its height is 6 cm and one base is 8 cm.
Answer:
Step-by-step explanation:
Iihgghh
NEED THE CORRECT ANSWER ASAP, PLEASE HELP!!! Drag and drop the expressions into the boxes to correctly complete the proof of the polynomial identity.
(x2+y2)2+2x2y2−y4=x2(x2+4y2)
Answer:
See attachedStep-by-step explanation:
The proof is attached
The first line is according to the identity:
(a + b)² = a² + 2ab + b², where a = x² and b = y²The second line is simplification where y⁴ cancels and 2x²y² doubles.
The third line is about taking the common factor of x² and factorizing.
help me with this question
Answer:
x=5
y=2
w= -5
Step-by-step explanation:
We have that the two matrix are equal, so all corresponding elements are equal.
X-Y=3
From the second row and second column, we have y=2
so x-2=3
x=5
From the third row and the first column, we have w= - 5
7.
Find the number of real number solutions for the equation. x2 – 18 = 0
A. cannot be determined
B. 0
C. 1
D. 2
Help me pleaseeeeeee
Answer:
Step-by-step explanation:
6. Yes: these two angles are opposite 2 equal line.
7. No: We don't know that AC bisects <JAD
8. No: We don't know that JCA or DCA are right angles.
9. Yes. Both angles have AC in common. JD is a straight line which has 180 degrees. AC intersects a JD and creates 2 angles. We know their total but not their equality.
10. Yes. They are given as equal.
Not everything you see is true just because it looks that way.
if (-2/15)+(-13/5)=(-13/5)+a/b then a/b is equal to
The choose C. –2/15
(-2/15) +(-13/5) =(-13/5) +a/b
a/b = (-2/15)+(-13/5) - (-13/5)
a/b = (-2/15) - ( 39/15) +(39/15)
a/b = –2/15
I hope I helped you ^_^
Answer: option 3: a/b = (-2/15)
Step-by-step explanation:
See here when we solve this
(-2/15)+(-13/5) = (-13/5)+a/b
(-2/15) = (-13/5)+a/b-(-3/15)
(-2/15) = a/b
please click thanks and mark brainliest if you like :)
A number y satisfies y 24th power - 256 = 0. What equation does the number x =y to the 4th power satisfy?
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:
https://brainly.com/question/13763238
#SPJ1
what is the range of the function on the graph (1,2),
Answer:
gu is the answer of range of function on graph
If x=4(3-y)(2^2-1), what is the value of y in terms of x?
Answer:
hello there...
x = 4(3-y)(4-1)
x =( 12 - 4y )(3)
x = 36 - 12y
-12y = 36+x
y = (36+x)/(-12)
y = -(36+x)/12 or y = (-36-x)/12
AND WE ARE DONE <3
Answer:
y=3-x/12
Step-by-step explanation:
x=4(3-y)(2^2-1)
x=4(3-y)(4-1)
x=3*4(3-y)
x=12(3-y)
x/12=3-y
y=3-x/12
The cost of plastering in 4 walls of a room whose length is three times its height as wellas twice its breadth at Rs 5per m^2 is Rs 720. What will be the cost of the carpenting the floor of the room at Rs 250per m^2
Answer:
please mark me brainlist I really need it
Step-by-step explanation:
Say the height of the room is X metres. So the length is 3X, and the breadth is length/2, or 3X/2.
The area of the 4 walls is then 3x^2 + 3X^2 + 3X^2/2 +3X^2/2 = 9X^2
If the cost of plastering is R5/sq m, then 9X^2 * 5 = 720
Solving this gives X = 4 m - a rather high ceiling
The floor area is then (3*4) * (3*4/2) = 72 sq m
Carpeting is then 250*72 = R18000
The radius of a circle is 3 cm. Find its area in terms of pi
Answer:
A = 9 pi cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
r=3
A = pi (3)^2
A = 9 pi cm^2
Area of circle = πr²
Area = π3²
Area = 9π
There area in terms of pie is 9πcm²
Must click thanks and mark brainliest
Which of the following equations is an example of inverse variation between
the variables x and y?
Answer:
B
Step-by-step explanation:
Any inversely proportional equation is of the form y=k/x.
Answer:
Step-by-step explanation:
B
find the largest 5 digit number which is a perfect square
Answer:
Hello,
[tex]316^2=99856[/tex]
Step-by-step explanation:
Since
[tex]\\\sqrt{99999} =316,22618...\\\\The\ largest\ 5\ digit\ number\ which\ is\ a \ perfect\ square\ is\ 316^2=99856}\\[/tex]
4. Is 1,500,000 grams in 3 liters the same as 5 kilograms in 1 centiliter?
O No, because "grams per liter" measures volume, and "kilograms per centiliter" measures length.
No, because "grams per liter" measures concentration, and "kilograms per centiliter" measures area.
O Yes, because 1 kilogram = 1000 grams, and 1 liter = 100 centiliters.
Yes, because 1 gram per liter is the same as 1 kilogram per centiliter.
Answer:
O Yes, because 1 kilogram = 1000 grams, and 1 liter = 100 centiliters.
Yes, because 1 gram per liter is the same as 1 kilogram per centiliter.
Step-by-step explanation:
Which of the following values is the 75th percentile?
lower quartile
median
upper quartile
Answer:
upper quartile
Step-by-step explanation:
upper quartile
What are the solution(s) to the quadratic equation x2 – 25 = 0?
x = 5 and x = –5
x = 25 and x = –25
x = 125 and x = –125
no real solution
hi
x²-25 = (x+5) ( x-5)
As a multiplication can only add up to zero if one of term is 0 ,
there is two solutions :
x+5 = 0
x = -5
and x-5 = 0
x = 5
So two solutions for x² -25 = 0 which are -5 and 5
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST
Answer:
Its b
Step-by-step explanation:
Its b triangular pyramid
Mark me please
Answer: B
Step-by-step explanation: check the base
please please please help asap
Answer:
1,3,5
Step-by-step explanation:
81 is a perfect square so it can be written as an integer
11.8 is rational because it can be written as a fraction (107/9)
sqrt(6) isn't a perfect square so it is irrational
3/7 is a fraction so it is rational
8.57 is a terminating decimal so it is rational
What is the surface area of the cylinder?
180pi ft2
192pi ft2
252pi ft2
396pi ft2
[tex]\sf \longrightarrow \: \:Surface \: area \: of \: cylinder \: = \: 2\pi \: r \: h \: + \: 2\pi \: {r}^{2} [/tex]
r represents radius of cylinderh represents height of cylinder[tex]\sf \longrightarrow \: \: r \: = \: \frac{Diameter}{2} \\ [/tex]
[tex]\sf \longrightarrow \: \: r \: = \: \frac{12}{2} \\ [/tex]
[tex]\sf \longrightarrow \: \: r \: = \: \cancel\frac{12}{2} \: \: ^{6} \\ [/tex]
[tex]\sf \longrightarrow \: \: r \: = \:6 \: ft[/tex]
[tex]\sf \longrightarrow \: \: h \: = \: 15 \: ft[/tex]
Now , Substuting the values[tex]\sf \implies \: \:2 \: \times \: \pi \times \: 6 \: \times \: 15 \: \: + \: \: 2 \: \times \: \pi \times \: {6}^{2} [/tex]
[tex]\sf \implies \: \:2 \: \times \: \pi \times \: 90 \: \: + \: \: 2 \: \times \: \pi \times \: 36[/tex]
[tex]\sf \implies \: \:180 \: \pi \: + \: \: 72 \: \pi[/tex]
[tex]\sf \implies \: \:252 \: \pi[/tex]
Hence, the surface area of cylinder is 252 π ft²
