Factorise the following.​

Factorise The Following.

Answers

Answer 1

Answer:

m^2 -121

m^2 - 11^2

( m - 11 ) ( m + 11 )

6x^2 - 54

6 ( x^2 - 9 )

6 ( x - 3 ) (x + 3 )

Answer 2

Answer:

m^2-121

m^2-11^2

(m-11)(m+11)

Step-by-step explanation:

6×^2-54

6(×2^-9)

6(×-3)(×+3)


Related Questions

Help ASAP please I would love to recieve it right away

Answers

Answer:

Step-by-step explanation:

LJ/32=13/7 multiplying each side by 32

LJ=32(13)/7

LJ=416/7

LJ=59.4

2/3 of a number is 8 what is the number?

Answers

Answer:

12

Step-by-step explanation:

8/ (2/3) = 12

The value of number is,

⇒ x = 12

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

2/3 of a number is 8

Let us assume that,

A number is, x

Hence, We can formulate;

⇒2/3 of x = 8

⇒ 2/3 × x = 8

⇒ 2x = 3 × 8

⇒ 2x = 24

⇒ x = 12

Thus, The value of number is,

⇒ x = 12

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In 2010, a medical research group reported the results of an experiment to evaluate the effectiveness of acupuncture to treat a chronic intestinal condition. A group of volunteers with the chronic intestinal condition agreed to participate in the experiment and be randomly assigned to either a true acupuncture treatment or a placebo treatment. The placebo treatment mimicked the application of acupuncture, but no needle penetrated the skin. Random assignment resulted in 78 subjects receiving acupuncture and 75 subjects receiving the placebo treatment. After receiving 6 treatments over the course of 3 weeks, patients were asked to report whether they had experienced a reduction in the chronic intestinal condition. The table summarizes the data from the study, with expected cell counts in parentheses. Yes No Total Acupuncture 41(37.2) 37(40.8) 78 Placebo treatment 32(35.8) 43(39.2) 75 Total 73 80 153 Which of the following is true about the chi-square test for homogeneity? A. The number of subjects randomly assigned to each treatment is not the same; therefore, it is not appropriate to use a chi-square test for homogeneity across treatment groups. B. Volunteers do not constitute a random sample from the population of all patients with the chronic intestinal condition; therefore, it is not appropriate to use a chi-square test for homogeneity across treatment groups. C. Volunteers with the chronic intestinal condition were randomly assigned to each treatment, so the independence condition has been met. D. Not all of the observed cell counts are large enough to satisfy the conditions for applying the chi-square test of homogeneity. E. Not all of the expected cell counts are large enough to satisfy the conditions for applying the chi-square test for homogeneity.

Answers

Answer: C

Step-by-step explanation:

since this was an experiment, treatments had to be randomly assigned, which satisfies the independence condition.

Answer:

ANSWER C: Volunteers with the chronic intestinal condition were randomly assigned to each treatment, so the independence condition has been met.

Step-by-step explanation:

just took the test

If the total cost of a $32 item is $33.60, what is the total cost on a $55 item?

Answers

Answer:

55.00

Step-by-step explanation:

Question Help About 6% of the population of a large country is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic? Assume the events are independent. (a) The probability that both will be hopelessly romantic is (Round to four decimal places as needed.)​

Answers

Answer:

0.0144

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both

P(both) = 6/100 * 6/100 = 36/10000 = 0.0036

At Least one

Just One

94/100 * 6/100 =  564/10000 = 0.0564    

Both                                            0.0036

Total                                             0.06

                                                   

Work out the size of angle A.
11 cm
9 cm
38°​

Answers

Answer:

38° because the other two are cm? also you haven't linked a photo so I can't work out angle A

Hassan sells fruits and vegetables at the marketThe mass of fruit and vegetables are in the ratio.
Fruit: vegetables = 5:7
If Hassan sells 1.33 tones of vegetables
then how many kilograms of fruits did he sell?

Answers

Answer:

950 kilograms

Step-by-step explanation:

Fruit: vegetables = 5:7

Fruit = 5

Vegetable = 7

Total ratio = 5 + 7 = 12

If Hassan sells 1.33 tones of vegetables

1 tonne = 1000 kilograms

1.33 tonnes of vegetables = 1330 Kilograms of vegetables

how many kilograms of fruits did he sell?

Let kilograms of fruits sold = x

Fruit: vegetables = 5:7

Fruit: vegetables = x : 1330

5 : 7 = x : 1330

5/7 = x/1330

Cross product

5 * 1330 = 7 * x

6,650 = 7x

x = 6,650/7

x = 950 kilograms

kilograms of fruits sold = 950 kilograms

Hurry I really need it I have a timer

Answers

Answer:

228 m^2

Step-by-step explanation:

I rly hope im not to late

base is 6x6=36

each side is 8x6=48

48x4=192

192+36=228

Bonnie deposits 70.00 into a saving account
the account earns 4.5% simple interest per year
No money is added or removed from the savings account for 3 years
What is the total amount of money in her savings account at the end of the three years

Answers

ANSWER:

The total amount of money at the end of three years is $79.45.

Using the formula for the difference of squares, calculate: (100 - 3)

(100 + 3).​

Answers

Answer:

97

Step-by-step explanation:

Answer:

Step-by-step explanation:

Explanations are below

Step 1

(100-3)  Observe the equation

Step 2

(100-3)  Simplify

100-(+3)

100-3

Answer: 97

Please hurry it’s homework

Answers

y = 3x - 5
The slope is found from y2-y1/x2-x1
yep exactly what the other person said

In a class of 40 students, the number of girls is 10 more than the number of boys. We have to find the number of girls and the number of boys in the class.

Let’s represent the number of girls by g, and the number of boys by b. Write the pair of linear equations you will get in g and b :

Answers

Answer:

b=15 g=25

Step-by-step explanation:

lets translate that story problem to mathematics equations

the problem told that no. of girls are 10 more than no of boys so this will =

g=b+10

then in class there are 40 students that means

g+b=40

now we have to equations with two variables then we should substitute

(b+10)+b=40

lets remove the brackets

2b+10=40 subtract 10 from both sides

2b=30 now divide both by 2

b=15 so g=25 after you write the equation once again with the new proof or number

I WILL GIVE BRAINLIEST :)


The two lines graphed on the coordinate grid each represent an equation
Which ordered pair represents a solution to both equations?

(1,5)
(-5,1)
(5,1)
(-1,5)

Answers

Answer:

I think it would be (1,5)


8. Draw two circles with centre O and radii 3.6 cm and 4.5 cm, respectively. What are these
circles called? ​

Answers

Answer:

Concentric circles

Step-by-step explanation:

Given

Circle 1

[tex]r = 3.6cm[/tex]

Circle 2

[tex]r = 4.5cm[/tex]

Required

The name of the circles

See attachment for the circles.

From the attachment, the circle with radius 3.6cm is the circle with radius 4.5cm and they both have the same centre.

Such circles are referred to as concentric circles

Find the surface area of the figure.

Answers

Answer:

152 cm²

Step-by-step explanation:

2x5x3=30

2x6x3=36

5x6=30

2x2.5x6=30

2x6=12

(2+5)/2=3.5x2=7x2=14

30+36+30+30+12+14=152

Kyra is framing a square painting with side lengths of (x + 6) inches.

The total area of the painting and the frame has a side length of (2x −

5)

inches.

The material for the frame will cost $0.07

per square inch.

Answers

Complete Question:

Kyra is framing a square painting with side lengths of (x + 6) inches. The total area of the painting and the frame has a side length of (2x - 5) inches. The material for the frame will cost $0.07 per square inch.

Find the cost of the material for the frame is x = 16.

Answer:

The material cost of the frame is: $17.15

Step-by-step explanation:

Given

[tex]L_1 = (x + 6)\ in[/tex] --- Length of painting

[tex]L_2 = (2x - 6)[/tex] --- Frame and Painting

[tex]Cost = \$0.07[/tex] per square inch

Required

The cost of material of the frame

First, we calculate the area of the frame only

This is the difference between the areas of the frame and painting and the area of the painting

[tex]Area = (L_2)^2 - (L_1)^2[/tex]

[tex]Area = (2x - 5)^2 - (x + 6)^2[/tex]

Substitute 16 for x

[tex]Area = (2*16 - 5)^2 - (16 + 6)^2[/tex]

[tex]Area = (27)^2 - (22)^2[/tex]

[tex]Area = 245\ in^2[/tex]

The cost of the painting is:

[tex]Total\ Cost = Unit\ Cost * Area[/tex]

[tex]Total\ Cost = \$0.07 * 245[/tex]

[tex]Total\ Cost = \$17.15[/tex]

Hence, the material cost of the frame is: $17.15

need help on edge 6th grade math

Answers

Answer: a, 7ft

Step-by-step explanation:

Answer:

Answer A

Step-by-step explanation:

Find the amplitude and the period of the graphed function; please show work or steps.

Answers

Answers:

Amplitude = 2Period = 5pi/2

===========================================

Explanation:

The lowest point occurs when y = -2. The highest point occurs when y = 2.

The vertical distance between the highs and lows is 4 units (since 2-(-2) = 2+2 = 4). This cuts in half to get 4/2 = 2.

The amplitude is 2. It measures the vertical distance from the midline to either the peaks or valleys.

-----------------------------

Note that this curve has two lowest points and one highest point shown. What we'll do is shift the graph over to the right so that each of those lowest points snap to a grid point. The lowest point on the left will move to where x = -pi, while the lowest point on the right snaps to x = 3pi/2. We'll keep each point at the same y coordinate.

The horizontal distance from x = -pi to x = 3pi/2 is

(3pi/2) - (-pi) = 3pi/2 + 2pi/2 = 5pi/2

This represents the horizontal distance from the left valley point to the right valley point. This is one full period of the curve. After we arrive at the right valley point, we repeat the process of going up and coming back down in this exact same fashion. The process is repeated forever to generate the cosine curve. The curve repeats itself every 5pi/2 units along the x axis.

Side note: any phase shift of a curve will have the same period as the original curve. This is why we're allowed to shift left or right to help find the period.

2X^2 - 9x + 10 . solve by factoring area model (show work)​

Answers

Step-by-step explanation:

2x²_4x_5x+10

2x(x-2)-5(x-2)

(2x-5)(x-2)

In the diagram EF is the bisector of <DEF = m < D' EF.

The triangle congruence criteria that can be used to prove that DEF and D'EF are congruent is _______.​

Answers

hii! i just wanted to say hope you're having a fantastic day and hope that things are going well (: stay strong and stay safe!

The triangle congruence criteria that can be used to prove that DEF and D'EF are congruent is the SAS rule.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The SAS rule states that "If two sides and the included angle of one triangle are equal to corresponding two sides and included angle of another triangle, then the triangles are congruent"

From ΔDEF and ΔD'EF

DE = D'E

m∠DEF = m∠D'EF

EF = EF

ΔDEF ≈ ΔD'EF

Thus,

The triangle congruence criteria that can be used is the SAS rule.

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In triangle ABC, angle C is a right angle. If cos A = 5 8, what is the value of cos B?

Answers

Answer:

65

Step-by-step explanation:

A study was conducted to examine the quality of fish after seven days in ice storage. For this study Y = measurement of fish quality (on a 10-point scale with 10 = BEST.)

X = # of hours after being caught that the fish were packed in ice. The sample linear regression line is: Y = 8.5 - .5X. From this we can say that:

a. a one-hour delay in packing the fish in ice increases the estimated quality by 0.5.
b. Can't really say until we see a plot of the data.
c. a one-hour delay in packing the fish in ice decreases the estimated quality by 0.5.
d. if the estimated quality increases by 1, then the fish have been packed in ice two hours later.
e. if the estimated quality increases by 1, then the fish have been packed in ice one hour sooner.

Answers

Answer:

From this we can say that;

c. A one-hour delay in packaging the fish in ice decreases the estimated quality by 0.5

Step-by-step explanation:

The sample linear regression line representing the study of the relationship between the quality of fish, 'Y', and the number of hours that elapse after being caught that the fish were packed in ice, 'X', is presented as follows;

Y = 8.5 - 0.5·x

The estimated quality of a fish after a 1 hour delay in packaging in ice, is given as follows;

When X = 1

Y = 8.5 - 0.5 × 1 = 8.0

Therefore, the quality of a fish decreases from 8.5 to 8.0 which is equivalent to a 0.5 decrease in the quality of the fish, after a 1 hour delay in packaging in ice after being caught.

People with albinism have little pigment in their skin, hair, and eyes. The gene that governs albinism has two forms (called alleles), which we denote by a and A. Each person has a pair of these genes, one inherited from each parent. A child inherits one of each parent's two alleles independently with probability 0.5. Albinism is a recessive trait, so a person is albino only if the inherited pair is aa.
a. Beth’s parents are not albino, but she has an albino brother. This implies that both of Beth’s parts have type Aa. Why?b. Which of the type aa, Aa, AA could a child of Beth’s parents have? What is the probability of each type?c. Beth is not albino. What are the conditional probabilities for Beth’s possible genetic types, given this fact?

Answers

Answer:

a)

If Beth’s parents are not albino, but she has an albino brother (aa), then each parent must have the allele a. In order for someone who is not albino to be able to have an albino child of albinism, they must have type Aa.

b)

P(AA) = 0.5(0.5) = 1/4  CHANCE

P(Aa) = 0.5(0.5) = 1/4  CHANCE

P(aa) = 0.5(0.5) = 1/4   CHANCE

c)

the new probabilities are:

P(AA | not aa) = 1/3  

P(Aa | not aa) = 2/3

Step-by-step explanation:

   Given the data in the question;

a) Beth’s parents are not albino, but she has an albino brother. This implies that both of Beth’s parts have type Aa. Why?

If Beth’s parents are not albino, but she has an albino brother (aa), then each parent must have the allele a. In order for someone who is not albino to be able to have an albino child of albinism, they must have type Aa.

To be fully albino you must be aa and must also have at least one a as well as have a child with someone who also has has at least a.

b) Which of the type aa, Aa, AA could a child of Beth’s parents have? What is the probability of each type?

                             A                 a

A                         AA                Aa

a                         aA                 aa

so, Since each type is equally likely, and each is inherited independently of each other then,

P(AA) = 0.5(0.5) = 1/4  CHANCE

P(Aa) = 0.5(0.5) = 1/4  CHANCE

P(aa) = 0.5(0.5) = 1/4   CHANCE

c) Beth is not albino. What are the conditional probabilities for Beth’s possible genetic types, given this fact?

First we rule out aa, since Beth is not an Albino.

the new probabilities are:

P(AA | not aa) = 1/3  

P(Aa | not aa) = 2/3

Can someone help me? I’ll reward points + brainalist

Answers

Answer:

d) A = π([tex]9^{2}[/tex])

Step-by-step explanation:

area = π [tex]r^{2}[/tex]

diameter = 18

radius (half of diameter) = 9

area = π [tex]9^{2}[/tex]

does anyone know the answer to this? 5x-(4+3x)

Answers

Answer:

2x-4

Step-by-step explanation:

5x-(4+3x)

5x-4-3x

5x-3x-4

2x-4

Please help me it’s due today at 11:59

Answers

Okay first I think you might’ve highlighted incorrectly. You want to make sure the angles match with each other. Next you set up a proportion and solve. I’ll draw this all out for you. I hope this helps! :))

Pls help, i will give brainliest:
Consider the graphs which summarize the data on the number of hours per week of television viewing by two groups: 12-17 year-old Girls and 12-17 year-old Boys. Choose all that are correct.
The median for the girls is 16.
The median for the boys is 22.
The interquartile range for the girls is 28
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4

Answers

Answer:

a,b,e

Step-by-step explanation:

Answer:

B, D, E

OR

The median for the boys is 22

The interquartile range for the boys is 16

The difference between the medians as a multiple of the IQR is 1/4

Step-by-step explanation:

I just did it and got it right

8) A box of 12 light bulbs fell
and some are broken. If there
are 4 broken bulbs:
a) What fraction of the
bulb is broken? Write
answer in its lowest
term.​

Answers

Answer: 2/3

Step-by-step explanation:

12 lightbulbs and 4 are broken

12-4=8

8/12

/2

4/6

/2

2/3

2(3x - 32y) + 3(-2x - 4y)

Answers

the answer to this is > -76y

Find the errors and correct the following mathematical sentences.​

Answers

something is wrong with 4th one.

I solved it as 5x.

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