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).
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HELP ASAP!! 50 POINTS!!!(picture included) What are the solutions to the system of equations?
Sy = 2:2 - 4x + 8
y=-22 +11
(-1,3) and (5, 13)
0 (-1, 13) and (3,5)
0 (-1, 1) and (-5, -13)
O (1,5) and (3, 13)
Answer:
B. (-1, 13) and (3, 5)Step-by-step explanation:
Solve by elimination:
x² - 4x + 8 = -2x + 11x² - 2x = 3x² - 2x + 1 = 4(x - 1)² = 2²x - 1 = 2 ⇒ x = 3x - 1 = -2 ⇒ x = -1Find values of y:
y = -2(3) + 11 = 5y = -2(-1) + 11 = 13The pairs are:
(3, 5) and (-1, 13)Correct choice is B
Find the height of the pyramid.
Answer:
7
Step-by-step explanation:
Let the height of pyramid be h
[tex]v = \frac{1}{3} lwh[/tex]
v= 224
w= 8
l= 12
224=1/3(12)(8)(h)
224=32h
h=224/32
h=7
Solve the proportion: 144/a = 9/4
a=?
Step-by-step explanation:
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according to data given in this table find percentage of absentees on friday
plz solve it CORRECTLY step by step
Answer:
[tex]\%Absent = 80.20\%[/tex]
Step-by-step explanation:
Given
The attached data
Required
%Absentee on Friday
First, calculate the total present
[tex]Present = 42 + 36 + 40 + 36 + 38[/tex]
[tex]Present = 192[/tex]
Calculate the %Present on Friday
[tex]\%Present = \frac{Friday}{Present} * 100\%[/tex]
[tex]\%Present = \frac{38}{192} * 100\%[/tex]
[tex]\%Present = \frac{3800}{192}\%[/tex]
[tex]\%Present = 19.80\%[/tex]
Using complement rule:
[tex]\%Absent = 100\% - \%Present[/tex]
[tex]\%Absent = 100\% - 19.80\%[/tex]
[tex]\%Absent = 80.20\%[/tex]
RIGHT ANSWER WILL RECEIVE BRANLIEST, FIVE STARS, AND A THANKS
What effects do outliers have in the measures of central tendencies? Which measure would be the best to use?
Answer:
See below.
Step-by-step explanation:
An outlier can affect the mean by a lot. For example, if my neighbor moves out and Bill Gates moves in (he would be a super outlier!), the mean annual income would increase enormously.
The median, on the other hand, would not change at all. The income in the middle is still the income in the middle; Gates' income would not budge the median.
Need help with this question 20 points
Answer:
As x → ∞, f(x) → ∞
As x → -∞, f(x) → 3
Step-by-step explanation:
This question is asking for the end behavior of the graph. In this case, as x increases f(x) also increases; therefore, they both approach positive infinity at the same time. Additionally, the horizontal asymptote of the graph is 3. This means that as x approaches -∞, f(x) will approach the asymptote, 3.
What is the value of -(-9)?
Explain your reasoning.
Answer:
-(-9) is 9
Step-by-step explanation:
-(-9)
(when there are two negatives multiplyed with eachother, the product will be postive)
+ 9
+ 9 = 9
- ( - 9 ) =
( - 1 ) × ( - 1 × 9 ) =
( - 1 ) × ( - 1 ) × ( 9 ) =
( + 1 ) × 9 =
1 × 9 =
9
what do you call a vacation trip for 27 physicians! INEED THIS WORKSHEET WITH ANSWERS NOW PLS!!!!!!
Answer:
Doc Tour
Step-by-step explanation:
Answer:
Doc-Tour
Step-by-step explanation:
A bag contains tickets numbered 1 through 5. Use the probability distribution to determine the probability of drawing an odd numbered ticket.
The probability of drawing an odd numbered ticket is __ %
Answer:
The probability of drawing an odd numbered ticket is 60%.
Step-by-step explanation:
Odd numbered tickets:
Probability of one is 1/5 plus half of 1/5.
[tex]P(X = 1) = \frac{1}{5} + \frac{1}{10} = \frac{3}{10}[/tex]
Probability of 3 is half of 1/5.
[tex]P(X = 3) = \frac{1}{10}[/tex]
Probability of 5 is 1/5. So
[tex]P(X = 5) = \frac{1}{5}[/tex]
Probability of drawing an odd numbered ticket:
[tex]p = P(X = 1) + P(X = 3) + P(X = 5) = \frac{3}{10} + \frac{1}{10} + \frac{1}{5} = \frac{4}{10} + \frac{2}{10} = \frac{6}{10} = 0.6[/tex]
0.6*100% = 60%
The probability of drawing an odd numbered ticket is 60%.
All of the following are examples of essay types that colleges typically aska student to write except O A. essays about you. B. essays about a specific topic, C. essays about work experience, D. essays about your college choice.
Answer: C. essays about work experience
Step-by-step explanation: I would chose C because when you apply for a job you are asked to write and an essay on your work experience. But in college, you are no applying for a job.
plsss help i’m in 7th grade!!
Answer:
Step-by-step explanation:
2a+b^3
2*5.6+(2)^3
11.2+8
19.2
Answer:
19.2
Step-by-step explanation:
2(5.6)+2^3
11.2+8
19.2
jada walks up to a tank of water that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 5 gallons of water. Six minutes later, the tank contains 3 gallons of water
Answer:-2/3 gallon per minute
-2/3 gallon per minute
Step-by-step explanation:
QUICK FOR 10 POINTS
Jeremiah has 20 pencils. He has 4 more than 2
times the number of pencils that Jada has.
Exactly how many pencils does Jada have?
*no links please*
Answer:
8 pencils
Step-by-step explanation:
We can reverse everything that is happening in the problem like this!...
Jeremiah has 20 - 4 pencils = 16 than 2 reverse operation of multiplication which will be division then 16 ÷ 2 = 8
Check work? 8 more than 2 times equals 16 + 4 more that Jeremiah has equals 20 pencils
Tessellations
Determine whether the following regular polygon tessellates the plane.
Square
a. yes; measure of interior angle = 90
b. no; measure of interior angle = 90
c. yes; measure of interior angle = 45
d. no; measure of interior angle = 45
Please select the best answer from the choices provided
Answer:
A. Yes; measure of interior angle = 90
Step-by-step explanation:
I calculated it logically
It is random outfit day. You have 3 tops: green, white, and yellow. You have 2 pairs of pants: blue and black. You have 2 pairs of shoes: boots and sandals. What is the probability that you will wear a green shirt with blue pants and boots
Answer:
1/12
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that you have 3 tops: green, white, and yellow, the probability of you wearing a green shirt p(g)
= 1/3
since you have 2 pairs of pants: blue and black, the probability of you wearing a blue pant p(b)
= 1/2
And you have 2 pairs of shoes: boots and sandals, the probability of you wearing a pair of boots p(bo)
= 1/2
Hence the probability that you will wear a green shirt with blue pants and boots
= 1/3 * 1/2 * 1/2
= 1/12
Beth wants to determine a 99 percent confidence interval for the true proportion pp of high school students in the area who attend their home basketball games. Out of nn randomly selected students she finds that that exactly half attend their home basketball games. About how large would nn have to be to get a margin of error less than 0.01 for pp
Answer: 16590
Step-by-step explanation:
Let p be the population proportion of high school students in the area who attend their home basketball games.
As per given,
prior p = 0.5
Margin of error E= 0.01
Criticfor z-value for 99% confidence = 2.576
Sample size will be computed as
[tex]n=p(1-p)(\frac{z^*}{E})^2\\\\ n= 0.5(1-0.5)(\frac{2.576}{0.01})^2\\\\=0.25(257.6)^2\\\\=0.25 (66357.76)\approx16590[/tex]
Hence, required sample size = 16590
Three stores have the same mp3 player
for sale. The regular price of the player is
$50. Store A is offering the player on sale
at 15% off the regular price. Store B is
offering a $10 coupon to be deducted
from the regular price. Store C is offering
a rebate of $7.50 to purchasers. Which
store is offering the mp3 player at the
lowest cost?
A Store A
B Store B
C Store C
Store A and Store C
Answer: Store C
Step-by-step explanation:
Store A is giving 15% off. 15% of 50 is 7.5.
50 - 7.5 = 42.5
Store B $10 dollar coupon.
50 - 10 = 40
Store C is offering $7.50 back.
50 - 7.50 = 42.5
Answer is store c
Store c is giving you $10 off where the other two stores are just give you $7.50.
Hope this helps.
Solve for angle A with sides 6,10,9
Answer:
c = 13.52 units.
Step-by-step explanation:
So for this, lets use the Law of Sines, which says that:
Sin A / a = Sin B / b = Sin C / c
We have everything for this except the the angle measure of angle C. This can be found by doing 180 - 80 - 33, since the total interior angle measure of a triangle always equals 180 degrees.
180 - 80 - 33 = 67 degrees
With this, we can use the angle & side of A/a as well as the angle of C to get the side of c by using the Law of Sines
Sin A / a = Sin C / c
sin 33/8 = sin 67/c
c = 8*sin67 / sin 33
c = 13.52 units.
What’s -7 and 2/3 plus -5 and 1/2
Answer:
[tex]-13\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]-7\frac{2}{3} +(-5\frac{1}{2})[/tex]
[tex]-7\frac{2}{3} -5\frac{1}{2}[/tex]
[tex]-\frac{23}{3} -\frac{11}{2}[/tex]
Prime factorization of the numbers:
3 = 3 × 1
2 = 2 × 1
LCM of (3, 2) = 6
2 × 3
= 6
[tex]-\frac{79}{6}[/tex]
[tex]-13\frac{1}{6}[/tex]
The original cost of a laptop computer was x dollars. The expression 0.36 represents the value of the laptop today. Choose two expressions that also represent the value of the laptop today.
A. 1-0.64
B x-0.36
C. X-0.64
D. X(1 - 0.36)
E. X(1- 0.64)
Answer:
b and e
Step-by-step explanation:
b is easy: its the cost of the laptop times 0.36
e is a bit more complicated- its 1 minus 0.64 giving you 0.36 and then its just the same problem as b from there
at what rate will £420 yield £
£70 in 4 years
Answer:
4.16%/ year
Step-by-step explanation:
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
20 / 12 = 5 / y
y = 5 × 12 / 20
y = 60 / 20
y = 3
1000 tickets were sold . Adult tickets cost 8.50 , children’s cost 4.50 and total of 7300 was collected. How many tickets of each kind were sold ?
You are offered a job as a set designer on two different movies. If company A offers to pay you $450 per week and company B offers $10 per hour, and both ask you to work 40 hours per week, which company is offering the better rate of pay
Answer:
Company A.
Step-by-step explanation:
Company A = $450
Company B = 10*40 = $400
450 > 400, company A offers a better rate of pay.
A 90% confidence interval for the mean percentage of airline reservations being canceled on the day of the flight is (3.9%, 7.3%). What is the point estimator of the mean percentage of reservations that are canceled on the day of the flight? 3.65% 5.60% 1.70% 3.4%
======================================================
Work Shown:
Find the midpoint of the percentages given.
A = 3.9
B = 7.3
C = midpoint of A and B = point estimate
C = (A+B)/2
C = (3.9+7.3)/2
C = 11.2/2
C = 5.60
5.60% is the point estimate
Side note: The margin of error is B-C = 7.3-5.6 = 1.70%, or you could say C-A = 5.6 - 3.9 = 1.70%
The mean percentage of reservations that are canceled on the day of the flight is equal to the 5.60%
We have to determine the midpoint of the percentages given.
A = 3.9
B = 7.3
C = midpoint of A and B = point estimate
What is the formula for the midpoints?C = (A+B)/2
C = (3.9+7.3)/2
C = 11.2/2
C = 5.60
5.60% is the point estimate
Side note: The margin of error is
B-C = 7.3-5.6
B-C= 1.70%, or you could say
C-A = 5.6 - 3.9
C-A= 1.70%
Therefore the midpoint of B and C is 1.70% and the midpoint in between C-A is 1.70%.
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a letter to PTA chairman about school problems
Answer:
Dear Chairman/or MR.?….
Re: Concerns regarding insanitary conditions/health of children
I would be grateful if you could let me have the latest Minutes of PTA Meetings particularly if they relate to the health of young people as it relates to the lack of proper cleaning and the general insanitary conditions in the toilets and areas where food is consumed by children
Whilst l am aware that schools are always short of cash for what may be regarded as non-essentials, l would like the opportunity to discuss with you my ideas on dealing with this very important aspect of basic hygiene, cleanliness and education if it is found to be that the insanitary conditions are such which young people themselves may be partly responsible. If funds are needed for the purchase of specific items l have suggestions as to the raising of funds for these.
I look forward to hearing from you as a matter of urgency.
Yours sincerely,
, if addressed by name/ faithfully, if not by name,
Step-by-step explanation:
Can someone please help?
What’s the answer and how do you figure these out?
Answer:
140
Step-by-step explanation:
20x+60=30x+20
40=10x
x=4
and
20x+60
20*4+60
=140
Find with proof the minimum possible k such that every subset of f1; 2; : : : ; 2022g of size k must contain at least two elements a; b such that a < b and b is a multiple of a.
Answer:
Minimum possible K = 307
Step-by-step explanation:
Attached below is the detailed solution
Given set { 1, 2 , .......... 2022 }
The largest subset will contain prime numbers because they are not multiples of any number but 1
help :> me no understand
Answer:
3!!!!!!! ans is 3 ok mark brainluest