Answer:
2n^2
Step-by-step explanation:
The greatest common factor (GCF) in a polynomial is the factor by which all the terms in the polynomial can be divided. In order to find this factor, you need to completely factor both terms in the polynomial and then note down which ones they have in common:
Step 1: 4n^3 + 6n^2 (Given polynomial)
Step 2: 2*2*n*n*n + 2*3*n*n (Factor the polynomial)
Step 3: 2*2*n*n*n + 2*3*n*n (Identify shared factors)
Step 4: 2*n*n = 2n^2; the GCF is 2n^2 (Multiply the shared factors by each other to get the GCF)
The greatest common factor of the above polynomial is [tex]2n^{2}[/tex].
We have a polynomial as -
[tex]4n^{3} +6n^{2}[/tex]
We have to find out the greatest common factor of this polynomial.
Define Greatest common factor.The greatest factor is the largest number that is the factor of two or more numbers.
We have the following polynomial -
f(n) = [tex]4n^{3} +6n^{2}[/tex]
We can write the function as -
f(n) = [tex]f_{1}(n) +f_{2}(n)[/tex]
In order to find the greatest common factor, take out all the common terms from the individual functions [tex]f_{1}(n)[/tex] and [tex]f_{2}(n)[/tex].
Therefore, we can write the above function f(n) as -
f(n) = [tex]2n\times2n^{2} + 2n^{2}\times3 \;\;= \;\;2n^{2} (2n +3)[/tex]
Hence, the greatest common factor of the above polynomial is [tex]2n^{2}[/tex].
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If 2 inches is about 5 centimeters,
about how many inches is 45
centimeters?
Answer:
about 18 (17.7)
Step-by-step explanation:
Answer:
About 17 inches
Step-by-step explanation:
pls, what is surface area?
Answer:24
Step-by-step explanation:
Answer:
24 mm²Step-by-step explanation:
The cube has 6 equal faces.
Each face has area:
A = 2*2 = 4 mm²Total surface area:
S = 6*4 = 24 mm²What is 3 X 5 (0 + 2) - 4?
Simplify
Determine the coordinates of the y-intercept of the function shown in the graph.
A)(0, -1)
B)(2, 0)
C)(0, 2)
D)(-1, 0)
PLS HELP REALLY NEED THIS
A circular flower bed is 17 m in diameter and has a circular sidewalk around it that is 2 m wide. Find the area of the sidewalk in square meters. Use 3.14 for π.
The area of the sidewalk is __ m2.
Answer: 56.55 m^2
Step-by-step explanation:
A patrol officer used radar to note the speeds of cars, in miles per hour, as
they went by on the highway
65, 66, 63, 56, 56 50, 85, 61, 73, 81
How fast will the next car need to be going to change the median speed of
the cars to 63 miles per hour?
A. 80 miles per hour
B. 75 miles per hour
C 65 miles per hour
D 61 miles per hour
Answer: 61 miles per hour.
Step-by-step explanation:
The median is the number that's placed in the middle when the given numbers are either arranged in the ascending it the descending order.
In this case we are already given the speed of the cars as 65, 66, 63, 56, 56 50, 85, 61, 73, 81. We will therefore arrange them in ascending order and this will be:
50, 56, 56, 61, 63, 65, 66, 73, 81, 85.
To change the median speed of
the cars to 63 miles per hour, the 6th number when arranged in ascending order has to be 63. Therefore, in thus case, we will need a speed lessee than 63 miles pee hour. Therefore, option D is the answer.
When we re-arrange with the new speed included. This will be:
50, 56, 56, 61, 63, 63, 65, 66, 73, 81, 85.
Therefore, we can see that the median is 63.
Find the measures of the angles of a triangle if the smallest angle measures 107º less than the largest angle, and the third angle is one third of the measure of the largest angle
Answer:
123°, 41° and 16°Step-by-step explanation:
x - the measure of the largest angle
x - 107° - the measure of the smallest angle
¹/₃x - the measure of the third angle
x + x - 107° + ¹/₃x = 180°
2¹/₃x = 180° + 107°
⁷/₃x = 287°
x = 287°÷⁷/₃
x = 287° · ³/₇
x = 123°
x-107° = 123° - 107° = 16°
¹/₃x = ¹/₃ · 123° = 41°
The vertex of a function is (-8,4) what is the axis of symmetry
Factor 6d^2−21d...The factored polynomial is _.
Answer:
d = 7/2Step-by-step explanation:
6d² - 21d = 0
d (6d - 21) = 0
6d - 21 = 0/d
6d - 21 = 0
6d = 21
d = 21÷6
d = 7÷2
A rectangular tank of length 22cm, width 9cm and height 16cm is filled with water. The water is poured into a cylindrical container of radius 6cm.Calculate the volume of the rectangular tank
Answer:
3168 cm³
Step-by-step explanation:
From the question,
The volume of the rectangular tank = Length×width×heigth
V = lwh.................... Equation 1
Where l = length, w = width, h = heigth.
Given: l = 22 cm, w = 9 cm, h = 16 cm
Substitute these values into equation 1
V = 22×9×16
V = 3168 cm³
Hence the volume of the rectangular tank is 3168 cm³
Blank plus 1/2 equals 8/10
Answer:
3/10 + 1/2 = 8/10
Step-by-step explanation:
? + 1/2 = 8/10
To figure this out, you would subtract 8/10 from 1/2. But first, you want to find a common denominator.
1/2 = 5/10
8/10 - 5/10 = 3/10
3/10 can not be reduced anymore so that would be your answer.
What is the perimeter of △XYZ?
perimeter=
Step-by-step explanation:
(5+6+7)*2 = 36 correct answer
Answer:
36
Step-by-step explanation:
In order for a rhombus to be proven using either its sides or angels, it must first be proven to be a
Answer:
It must be proven to be a quadrilateral
Step-by-step explanation:
The question is straightforward, and it requires a direct answer.
A rhombus has four sides and as such it means it is a type of quadrilateral.
So, before a shape is proven to be a rhombus, it has to first be proven to be a quadrilateral.
what is the missing side length in the triangle below
Please give me step-by-step explanation please :’))
Answer:
45
Step-by-step explanation:
A shirt is originally priced at $24.5. the shirt goes on sale for 30%off the original price. How much money in dollars does the shirt cost including 7% on the tax on the slaeprice
Answer:
18.3505
Step-by-step explanation:
im supposed to solve this, but im first supposed to convert the bases to be the same and thats what im struggling with
9514 1404 393
Answer:
1
Step-by-step explanation:
From your knowledge of multiplication tables, you know that ...
8 = 2×2×2 = 2³
4 = 2×2 = 2²
so the problem can be rewritten as ...
[tex]\dfrac{8^4}{4^6}=\dfrac{(2^3)^4}{(2^2)^6}=\dfrac{2^{3\cdot4}}{2^{2\cdot6}}=\dfrac{2^{12}}{2^{12}}=\boxed{1}[/tex]
__
The applicable rule of exponents is ...
(a^b)^c = a^(bc)
______
Alternate solution
You could use 8^2 = 64 and 4^3 = 64. Then this is (8^2)^2/(4^3)^2 = 64^2/64^2, where the common base is 64, not 2.
knhkfjvvjhhhhhhhhhhhhhhhhhhhhhhh
Answer:
??????? what ?????????
Please help I'm very confused on this
Answer:
They are adjacent,
4x+2x=90°
6x=90°
x=90/6
x=45/3=15°
Step-by-step explanation:
Solve by completing the square.
d^2 − 6d = 19
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
d = or d =
Help would be appreciated as well as how to get the answer!
Answer:
Here's the answer
Step-by-step explanation:
Hope it will help.
Lucy wants to make different types of pie. Each pie uses 3/4 pounds of flour. She has 3 pounds of flour.
How many pies can she make
Answer: 3 -:- 3/4 = p
If you apply the rules keep change flip
You will keep 3/1 change divisions to multiplication and flip 3/4 to 4/3 so new equation 3/1 x 4/3 = 12/3 then 12÷3= 4 so your answer will be 4 pies
Step-by-step explanation:
Which data set could be represented by the box plot shown below?
Answer:
The answer is C
Step-by-step explanation:
It starts at 25 and then it stops at 38.
I hope this helps!
Answer:
hi
Step-by-step explanation:
The measures of the angles of a triangle are (3x – 100)°, (x – 10)°, and (x – 10)°.
Solve for x and find the degree measurement of the largest angle in the triangle.
x =
The largest angle in the triangle is
degrees.
Answer:
x = 60
largest angle = 80°
Step-by-step explanation:
the sum of all three angles in a triangle = 180°
(3x - 100) + (x - 10) + (x - 10) = 180
simplify:
5x = 300
x = 60
angles are 80°, 50°, and 50°
You spin a spinner and pick a card. How many outcomes are possible
Answer:
20
Step-by-step explanation:
5 outcomes from spinner, 4 from cards.
5x4=20
The solution is, the total number of possible outcomes 30.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
Explanation:
Given:
To find:
The number of possible outcomes
The first event(flipping a coin) has 2 possible outcomes = Head or Tail
The second event(picking a card) has 5 possible outcomes = P, Q, R, S, T
The third event (spinning the spinner) has 3 possible outcomes = 1, 2, 3
So the total number of possible outcomes = 2 * 5 * 3 = 30
Hence, The solution is, the total number of possible outcomes 30.
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Question 6
1 pts
Johnny is going bowling.
1.) The cost per game is $2.50.
2.) Johnny will need to rent a pair of shoes for $1.50.
3.) He can spend up to $16.00 total.
What is the maximum number of games that Johnny can bowl?
You need to show the inequality and give the answer for complete credit.
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As a small step to save the environment, Luna came up with an idea for her sweet shop. In exchange for five eclaire boxes, that she gets, she decided to give an eclaire box for free. A group of kids from the locality ate seventy-seven eclaire boxes that week and they collected the boxes to give to Luna and get back eclaires boxes.
How many eclaires boxes do you think they can buy from Luna using the seventy-seven claire boxes?
Answer: 15
Step-by-step explanation:
From the question, we can infer from the information given that:
5 eclaires boxes = 1 free eclaires box.
Therefore, to get the number of eclaires boxes that the kids will get if they bring 77 eclaires boxes, we have to divide 77 by 5 and this will be:
= 77 / 5
= 15.4
= 15
The group of kids will receive 15 free boxes
Can someone help me please
Answer:
i only know cos
cos0 = 8/9
Step-by-step explanation:
Consider the figure shown. what is the measure of the given angles?
Step-by-step explanation:
180°=46° +2x=> 2x=134°=>x=67°
x+y=180°=>y=180° -x=>y= 180°-67°=>y=113°
Which of the following statements about the image below is true
Answer:
It is answer 3
Step-by-step explanation:
A diver went 24 feet below the surface of the ocean, and then 47 feet down. What is the diver's new position relative to the surface?
Write an expression to represent the problem, and solve.
Answer:
71 feet below the water.
Step-by-step explanation:
x=the divers position relative to the surface
when x=0, the diver is at the surface.
when x=-24, the diver is 24 feet below the surface, therefore -24-47=-71.
