factorise 4a-6ab-18ac
Answer:
Step-by-step explanation:
4a-6ab-18ac
=2a(2-3b-9c)
The required factorisation of the given equation is 4a-6ab-18ac = 2a(2 - 3b - 9c).
What is factorisation?In mathematics, factorisation or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
The given equation is,
4a-6ab-18ac
So factorising each term we have,
4a = 2*2*a
6ab = 2*3*a*b
18ac = 2*3*3*a*c
Thus the equation becomes,
4a-6ab-18ac = 2*2*a - 2*3*a*b - 2*3*3*a*c
taking 2*a common we get,
4a-6ab-18ac = 2a(2 - 3b - 3*3*c)
or, 4a-6ab-18ac = 2a(2 - 3b - 9c)
which is the the required factorisation of the equation.
Thus, the required factorisation of the given equation is 4a-6ab-18ac = 2a(2 - 3b - 9c).
To learn more about factorisation:
https://brainly.com/question/20293447
#SPJ2
What is the value of
(5 1/3)^3 ?
Answer:
[tex] \frac{4096}{27} [/tex] or [tex]151 \frac{19}{27} [/tex]Step-by-step explanation:
[tex](5 \frac{1}{3} {)}^{3} [/tex][tex](5 + \frac{1}{3} {)}^{3} [/tex][tex]( \frac{16}{3} {)}^{3} [/tex][tex] \frac{ {16}^{3} }{ {3}^{3} } [/tex][tex] \frac{4096}{27} [/tex][tex]151 \frac{19}{27} [/tex]Hope it is helpful....Answer:
4096/27
Step-by-step explanation:
This is Exact Form
Please help ;-;im stuck
Answer:
999
Step-by-step explanation:
223 → 200 + 20 + 3
374 → 300 + 70 + 4
402 → 400 + 0 + 2
900 + 90 + 9
standard form = 999
IM LOW ON TIME AND NEED YOUR HELP 30 PST
Answer:
12.56
Step-by-step explanation:
First of all, pi = 3.14
Diameter=4
Radius=2
3.14×[tex]2^{2}[/tex]
So,
3.14 × 4 =
12.56
Hope this helps!! (Hope I did this in time!!)
Select the correct answer.
The chaperones for a field trip to the museum will be 7 history teachers and 13 science teachers. Each student on the trip will be assigned to a
group led by two chaperones.
What is the approximate probability that a random student on the trip will be assigned to a group led by two history teachers?
O A
11.1%
ОВ.
2.3%
Ос.
28.6
OD. 12.3
Answer:
A 11.1%
Step-by-step explanation:
The students are chosen from a sample without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question, we have that:
13 + 7 = 20 teachers, which means that N = 20.
7 history teachers means that k = 7.
Two teachers for each student, which means that n = 2.
What is the approximate probability that a random student on the trip will be assigned to a group led by two history teachers?
This is P(X = 2). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,20,2,7) = \frac{C_{7,2}*C_{13,0}}{C_{20,0}} = 0.1105[/tex]
So close to 11.1%, and the correct answer is given by option A.
Answer: 11.1%
Step-by-step explanation: Correct on Edmentum
What's the length of one leg of a right triangle if the length of the other leg is 24 units and the length of the hypotenuse is 25 units?
Answer:
The length would be 7 units
Determine the missing term/s in the given number sequence and equation
Write the letter of your answer on the blank provided.
The question is incomplete. The complete question is :
I. Determine the missing term/s in the given number sequence and equation. Write the letter of your answer on the blank provided.
1.)91, , ___, 61 A. 79, 67, B. 78, 63, C. 77, 66 , D. 76,69 2.) 38, 46,
, 62, 78 A. 54, 72 B., 54, 70 C. 50, 72, D.50, 74 3.)34, 39, ___, 54, 59A. 49, 44B.45, 49C.44,49D. 40,55 4.) 15, 30, ___, 60,A. 45, 75 B.40, 70C. 15, 70D.15,60 5.） 829 x = 829A. 1 B.3 C.5 D. 7
Answer :
1. Choose A, 2. Choose B, 3. Choose C, 4. Choose A, 5. Choose A
Explanation :
1. 91, 85, __, 73, __, 61
We see that each number has a difference of 6. Therefore, 91 minus 6 is 85. 85 minus 6 is 79, 79 minus 6 is 73, 73 minus 6 is 67, 67 minus 6 is 61.
Therefore, the missing numbers are :
91, 85, 79, 73, 67, 61
So, choose A.
2. 38, 46, __, 62, __, 78
We see that each number has a difference of 8. So, 38 plus 8 is 46, 46 plus 8 is 54, 54 plus 8 is 62, 62 plus 8 is 70, 70 plus 8 is 78.
Therefore, the missing numbers are :
38, 46, 54, 62, 70, 78
So, choose B
3. 34, 39, __, __, 54, 59
We see that each number has a difference of 5. So, 34 plus 5 is 39, 39 plus 5 is 44, 44 plus 5 is 49, 49 plus 5 is 54, 54 plus 5 is 59.
Therefore, the missing numbers are :
34, 39, 44, 49, 54, 59
So, choose C
4. 15, 30, __, 60, __.
We see that each number has a difference of 15. So, 15 plus 15 is 30, 30 plus 15 is 45, 45 plus 15 is 60, 60 plus 15 is 75.
Therefore, the missing numbers are :
15, 30, 45, 60, 75.
So, choose A.
5. 829 x __ = 829
∴ 829 x 1 = 829
So, choose A.
75 points pls hurry!!!
Answer:
15 ÷ 1/3
Step-by-step explanation:
Quotient means division
15 ÷ 1/3
Answer:
15÷1/3
Step-by-step explanation:
Hope this helps!
Have a lovely day!
What is the volume of the rectangular prism?
Answer:
54 in³
Step-by-step explanation:
9×3×2 = 54 in³
_______
The question is in the picture. (Alegbra 1)
Answer:
Step-by-step explanation:
4/5a*3/2a^2
4*3/5a*2a^2
12/10a^3
6/5a^3
therefore ur answer is 6/5a^3
Answer:
option 3
Explanation :
9.
[tex]\frac{4}{5a} \cdot \frac{3}{2a^2} = \frac{12}{10 a^3} = \frac{6}{5a^3}[/tex]
what is the value of a, if 5a-b-c=36 and b=c=1/2a
Answer:
a=36
Step-by-step explanation:
because look 0a=a
0a=36
a=36
find the circumference of a circle with a diameter of 13 feet
Answer:
Step-by-step explanation:
radius=diameter/2
13/2
6.5
circumference of a circle=2πr
=2*3.14*6.5
=40.82 feet
=
Answer:
40.84
Step-by-step explanation:
2x3.14x6.5=40.84
Fill in the missing monomials: 100x^2= (____)^2
ITS NOT 100
Answer:
(10x)^2
Step-by-step explanation:
How can you use a unit cube to find the volume of a prism? Explain.
(points)
Answer:
with times hight
Step-by-step explanation:
multiply with and hight together to get a full lay out of the prisms and if the are halves i usauly add them together to form one unite hope this help and that were on the same page
Answer:
To use a unit cube, you have to multiply the length and the width just like finding the area of a 2D shape. You will then take your "area" and multiply that by the height of the object.
Step-by-step explanation:
Example, if I have a rectangular prism that is 10 inches long, 4 inches wide, and 6 inches tall, I can multiply 10 and 4 to get 40. I will then take the 6 inches, and multiply it to 40. 40x6=240. The volume of my prism is 240.
I would also like to point out that you can multiply the factors in any order because of the commutative property
4. If the length and width of the figures below are doubled, how will it affect the volume of the figure?
7 in.
6 in.
9 in
The volume will be doubled.
0
The volume will be quadrupled.
The volume will be 8 times greater
The volume will be 14 times greater
CLEAR ALL
Answer:
8 times greater.
Step-by-step explanation:
Lengths are times 2 so:
Volume = 2^3 times greater
Answer:
8
Step-by-step explanation:
GUYS I NEED HELP FAST
Answer:
i don’t know do it yourself
Step-by-step explanation:
Rachel uses 75 inches of ribbon to make 4 bows. She uses the same amount of ribbon to make each bow. 1 foot = 12 inches 1 yard = 3 feet How many yards of ribbon will Rachel use to make 12 bows? Enter the answer in the box. yards
Answer: 6.25 yards
Step-by-step explanation:
75 inches = 4 bows
To get 12, you have to multiply 4 by 3. Therefore, you also have to multiply 75 by 3.
75*3 is 225.
225 inches = 12 bows
225 inches is 6.25 yards. Hope this helps :)
{5,9,8,6,3,9,1,4,5,9,13}
Answer:
75
Step-by-step explanation:
Round 591.48 to the nearest tenth.???? need help dunno
Answer:
591.5
Step-by-step explanation:
You're rounding so yeah this was simple
Answer:
591.5 because the tenth place is after the . and the number after it is what you use to round it if it larger then 5 the number in the tenth place goes up one and if it's under 5 it stays the same
Find the circumference of the object 6 Cm
Answer:
37.7 cm
Step-by-step explanation:
C = 2πr
2 · π · 6
≈ 37.7
Use the definition of the derviative to compute the derivative of f(x)= 1- 7x^2 at the specific point x=2.
Answer:
[tex]f'(x) = -28 \ at \ x = 2[/tex]
Step-by-step explanation:
[tex]f'(2) = \lim_{h \to 0}\frac{f(2+h)) -f(2)}{h} \\\\f(2+h) = 1 - 7(2+h)^2 = 1 - 7(4 +h^2 +4h) = 1 - 28 - 7h^2 - 28h = - 7h^2 -28h - 27\\\\f(2) = 1 - 7(2^2) = 1 - 28 = -27\\\\f(2+h) - f(2) = -7h^2 - 28h - 27 - (-27) = -7h^2 -28h -27 + 27 = -7h^2 -28h\\\\f'(2) = \lim_{h \to 0}\frac{-7h^2 - 28h}{h} \\\\[/tex]
[tex]= \lim_{h \to 0} \frac{h(-7h -28)}{h}\\\\= \lim_{h \to 0} (-7h -28)}\\\\= -7 (0) - 28\\\\= -28[/tex]
The operation is defined on the set R of real numbers by ab=ab+a.
Determine whether or not the operation is associative.
Please I need help.
Answer:
ab=ab+a
We need to check the following:
(ab)c=a(bc) or not
LHS
(ab)c=(ab+a)c
=(ab+a)c+(ab+a)
=abc+ac+ab+a
RHS
a(bc)=a(bc+b)
=a(bc+b)+a
=abc+ab+a
as LHS ≠ RHS, the operation is not associative
Step-by-step explanation:
i need help pls ! i’ll give brainliest
i am estimating x = 6 2/3
since 5+4 = 9
9-3 = 6
so about 6 2/3?
i think
Answer:
x = 6 2/3
Step-by-step explanation:
The product of the segments are equal
x * 3 = 5 * 4
x * 3 = 20
divide both sides by 3
x = 20/3
x = 6 2/3
PLEASE ANSWER THIS
FOR POINTS
It's a kite or a rhombus.
Perfect square trinomial:
(a – b)2 = (a – b)(a – b) = a2 – 2ab + b2
Find the product of (k – 9)2 using the perfect square trinomial rule shown on the left.
The product (k – 9)2 can also be written as
.
The product is k2 –
k +
.
Answer:
See work below.
Step-by-step explanation:
[tex](k-9)^2=(k-9)(k-9)\\=k^2-2(k)(9)+9^2\\=k^2-18k+81[/tex]
A spinner with 12 equally sized slices is shown below. (The 12 slices are red.) The dial is spun and stops on a slice at random. What is the
probability that the dial stops on a red slice?
Write your answer as a fraction or a whole number.
Answer:
100/100
Step-by-step explanation:
XD
Which of the following sets of data is bimodal?
A {2,3,4,4,5,6,7,7,8}
B {2,2,3,3,4,4,5,5,6,6}
C {2,3,4,4,4,5,6,7,8}
D {2,2,3,3,4,4,5,6,7,8}
Answer:
a. po
sana po maka tulong
3926 use each digit once, make the largest 4-digit number
Answer:
9632 is the largest number
The difference of a number and 10 is less than 4
You are looking to save money to start a business. You currently have $500 saved up. We JustWantUrMoney Bank offers a savings account with 12%
interest, compounded annually. How much money would you have after 10 years? Round to the nearest cent, if necessary.
Answer:
You would have $1552.9 after 10 years.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
You currently have $500 saved up.
This means that [tex]P = 500[/tex]
12% interest, compounded annually.
This means that [tex]r = 0.12, n = 1[/tex].
How much money would you have after 10 years?
This is A(10). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(10) = 500(1 + \frac{0.12}{1})^{10}[/tex]
[tex]A(10) = 1552.9[/tex]
You would have $1552.9 after 10 years.