[tex] {3a}^3b -54b[/tex]
factorize it plz​

Answer:

box 1 and box2 are correct.

[tex]|\Omega|=6\\|A|=2\\\\P(A)=\dfrac{2}{6}=\dfrac{1}{3}[/tex]

Answer:

1/3

Step-by-step explanation:

The list of sample space's elements: {1, 2, 3, 4, 5, 6}

The number of elements in sample space: 6

The list of elements belonged to the event "choosing the number larger than 4": {5, 6}

The number of elements in the event: 2

Hence, the probability of event "choosing a number larger than 4":

P = number of event's elements/number of sample space's elements

  = 2/6

  = 1/3

Answer:

Thursday=80%

Saturday=82 %

Step-by-step explanation:

Thursday trains not late=40-8=32

% trains not late=32/40×100=80

Saturday trains not late=50-9=41

% trains not late on Saturday=41/50×100=82

Answer: 53 and 54

Explanation

Let the consecutive numbers be x and x + 1

ATQ

x + x + 1 = 107

2x = 107 - 1

x = 106/2

x = 53

Therefore the numbers are 53 and 54

Must click thanks and mark brainliest

Answer:

x = 53, x + 1 = 54

Step-by-step explanation:

Consecutive integers are two numbers that are after each other. (This is confusing wording, but hopefully this example helps):

Regular consecutive numbers: 1, 2, 3

Even consecutive numbers: 2, 4, 6

Since in this problem the numbers are not given you will use variables.

x + x + 1 = 107

Solve:

x + x + 1 = 107

2x + 1 = 107

      -1      -1

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

2x = 106

---    -----

2      2

  x = 53

x + 1

53 + 1 = 54

Hope this helped.

Answer:

86°

Step-by-step explanation:

b = 29× 2 = 58

d= [180-(86+29)]×2 = 130

a=c=x

a+b+c+d = 360

2x+188= 360

2x= 172

x= 86

a = c = 86°

Answer:

N is 39

Step-by-step explanation:

The distance between 99 and 19 is:

99 - 19 = 80

So, you can split the stick in 4 parts, one part between 19 and N, and 3 times this same part you'll have the distance between N and 99

So 80/4 = 20

19 + 20 = 39

N is 39

Answer:

(-4, 2) y(2, -8)

{-4 y(2, -8), 2 y(2, -8)}

-4 y(2, -8) + 2 y(2, -8) = -2 y(2, -8)

-y(2, -8)

2 sqrt(5) abs(y(2, -8))

Step-by-step explanation:

D

Answer:

C

Step-by-step explanation:

The center will be the midpoint of the line connecting A and B.

x=(-4+2)/2=-2/2=-1

y=(2-8)/2=-6/2=-3

Answer/Step-by-step Explanation:

12. A. (1,299 + 3,563) ÷ 22 = 221

4,862 ÷ 22 = 221

221 = 221 (TRUE)

B. 16*(132 + 34)*12 = 32,872

16*166*12 = 32,872

31,872 = 32,872 (NOT TRUE)

C. (65 + 78)*(45 - 29) = 2,188

143*16 = 2,188

2,288 = 2,188 (NOT TRUE)

D. (1,444 - 349) ÷ (457 - 238) = 6

1,095 ÷ 219 = 6

5 = 6 (NOT TRUE)

The answer is A.

13. Let the missing number = X

Thus,

i. 25*(157 + x) = 8,850

[tex] 157 + x = \frac{8850}{25} [/tex]

[tex] 157 + x = 354 [/tex]

[tex] x = 354 - 157 [/tex]

[tex] x = 197 [/tex]

ii. x ÷ (453 - 425) = 135

x ÷ (28) = 135

x = 135*28

x = 3,780

14. (56 + 69) * (268 - 137)

125*131 = 256

15. 9,144 ÷ (2,784 - 2,784)

9,144 ÷ 0 = cannot divide

16.  (72 + 126) ÷ (687 - 654)

198 ÷ 33 = 6

17. 22*(562 + 733)

22*1,295 = 28,490

18. Let the missing number be x

48*(x - 239) = 4,272

[tex] x - 239 = \frac{4,272}{48} [/tex]

[tex] x - 239 = 89 [/tex]

[tex] x = 89 + 239 [/tex]

[tex] x = 328 [/tex]

The missing number is 328.

19. (794 + 718) ÷ (68 - 41)

1,512 ÷ 27 = 56

20. (58*89) + (192 ÷ 16)

5,162 + 12 = 5,174

Answer:

1 hour

Step-by-step explanation:

No. of pages print in 1.5 hours = 900

dividing LHS and RHS by 1.5 so that we get 1 hour in LHS

no. of page print in 1.5/1.5 (1) hours = 900/1.5 = 600.

Thus, it takes 1 hour to print 600 pages.

Given that we have to find  how

long will it take her to print a book of 600 pages.

Answer is 1 hour.

Answer:

Step-by-step explanation:

[tex] \sqrt[3]{64} [/tex]

[tex] = \sqrt[3]{4 \times 4 \times 4} [/tex]

= 4 (Ans)

Answer:

Step-by-step explanation:

The function g is:

[tex]g(x) = |4x| + 4[/tex]

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

Horizontally shrinking a function f(x) by a factor of [tex]\frac{1}{a}[/tex] is equivalent to finding f(ax).

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

In this question, the function is:

[tex]f(x) = |2x| + 4[/tex]

Horizontally shrinking by a factor of [tex]\frac{1}{2}[/tex] means that [tex]a = 2[/tex], so:

[tex]g(x) = f(ax) = f(2x) = |2(2x)| + 4 = |4x| + 4[/tex]

Thus, the function g is:

[tex]g(x) = |4x| + 4[/tex]

A similar question is given at https://brainly.com/question/20379647

Step-by-step explanation:

The independent variable is the one that we change, and because we are changing the genre, the independent variable is the different types of music.

The variable we can change is known as an independent variable, and since we are changing the style, the independent variable is the various musical forms.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given Heather is researching the relationship between music and memory as a result. Students learn word lists while listening to various music styles, and she analyzes their memory after an hour, a day, and a week.

A variable that is independent is exactly what it sounds like. It is a stand-alone variable that is unaffected by the other variables you are attempting to measure.

Thus, the variable we can change is known as an independent variable, and since we are changing the style, the independent variable is the various musical forms.

Learn more about the function here:

brainly.com/question/5245372

#SPJ5

Answer:

Step-by-step explanation:

y=2/5x-12 it is a linear equation in the form of y=mx+b

the best way to know is to graph the function

Answer:

True

Step-by-step explanation:

Just compare the numbers to the dots.

I hope this helps!

pls ❤ and give brainliest pls

Answer:

true

Step-by-step explanation:

The answer is true.

Answer:

x=1

i hope this helps!

Step-by-step explanation:

x+2/-1 =3

x+2 (1) =3

x+2 = 3

x=1

Answer:

c

Step-by-step explanation:

30°+90°+x=180°  (the sum of interior angle of a triangle is 180°)

120°+x=180°

x=180°-120°

x=60°

The vertical distance through which the car rises is 16.7 m

"It is a triangle whose one of the angle is 90°."

In right triangle, for angle 'x',

sin(x) = (opposite side of angle x)/hypotenuse

For given example,

Consider the following figure for given situation.

A car travels 120 m along AC.

ΔABC is right triangle with hypotenuse AC.

∠C = 8°

Consider sine of angle C,

[tex]\Rightarrow sin(C)=\frac{AB}{AC}\\\\\Rightarrow sin(8^{\circ})=\frac{AB}{120}\\\\ \Rightarrow 0.1392=\frac{AB}{120}\\\\ \Rightarrow AB = 0.1392\times 120\\\\\Rightarrow AB = 16.70~ m[/tex]

Therefore, the vertical distance through which the car rises is 16.7 m

Learn more the sine angle here:

https://brainly.com/question/14553765

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Answer:

Greatest common factor (GCF) of 36 and 210 is 6.

Step-by-step explanation:

Answer:

6

Brainliest, please! (Almost an Ace!)

Step-by-step explanation:

Look at the smallest factor, 36. Find its factors.

36: 1, 2, 3, 6, 12, 18, 36

Out of all of them, which is the biggest one that 126 and 210 are also divisible by?

We see that they're divisible by 1, 2, 3, and 6.

Our answer is 6.

Answer:

A

Step-by-step explanation:

A dotted line means its either greater than or less than. A undotted line means its also equal to the number aswell.

To find the right answer all you need is the first part because y has to be greater than or equal to 2 as shown from the graph. So the answer has to be A. As it is the only one that shows this.

Answer:

SSS

∆PQR = 43

Step-by-step explanation:

The postulate to solve ∆PQR ≅ ∆STU is SSS. Both of the triangles have all three sides given, which means it can be solved for congruence.

9 + 6y + 5 + 14 = 9 + 8y +14

28 + 6y = 9 + 8y + 14

28 + 6y = 8y + 23

      -6y    -6y

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

  28 = 2y + 23

 -23           -23

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

      5 = 2y

     ----   ----

      2      2  

  2.5  =   y

9 + 14 + 6(2.5) + 5

23 + 15 + 5

 23 + 20

     43

∆PQR = 43

Answer:

Solution given:

In ∆ PQR and ∆ STQ

PQ=ST=9ft given

<Q=<T given

QR=TU = 14ft [given]

S.A.S axiom therom is used to prove

∆PQR ≅ ∆STU

Since ∆PQR ≅ ∆STU

their corresponding side is equal.so

6y+5=8y

5=8y-6y

2y=5

y=5/2

now

perimeter of ∆ PQR=sum of all sides

=9ft +14ft+ 6*5/2+5=43ft

Answer:

174

Step-by-step explanation:

Given

132, 145, 97, 112, 128, 82

Required

Estimate amount of students in an art class

This is calculated by obtaining the mean of the given data

[tex]Mean = \frac{\sum x}{n}[/tex]

Where n is the number of observations

So;  n = 6

[tex]Mean = \frac{132+ 145+ 97+ 112+ 128+ 82}{6}[/tex]

[tex]Mean = \frac{696}{6}[/tex]

[tex]Mean = 174.0[/tex]

Hence, the estimated number of students is 174

Answer:

bro just make me the branilist

Answer:

A) 10th of August

B) $1780.03

Step-by-step explanation:

A) From the payment terms of 2/10 EOM, Melissa is to receive a 2% discount if she pays within 10 days from the end of the month

From the date on the invoice, July 26, the date at which Melissa has to pay to take the cash discount is before the 10th of August

B) The payment amount will be 2% off the original payment amount

The total cost of the four new gas mowers less the trade discount = 499 × 4 × (100 - 9)/100 =$1816.36

The 2% discount will then be $1816.36 × (100 - 2)/100 = $1780.03

The payment amount assuming Melissa pays before the end of the discount period = $1780.03.

Answer:

The carpenter used 2 7/4 feet of plank for the shelf

Step-by-step explanation:

Total length of plank =10 1/2 foot

He used

For Deck board=4 1/4 feet

Step=3 2/3 feet

Shelf=x feet

Total plank=deck board + step + shelf

10 1/2 = 4 1/4 + 3 2/3 + x

Change the fractions

21/2 = 17/4 + 11/3 + x

Add 17/4 + 11/3

21/2 =51+44/12 + x

21/2= 95/12 + x

Collect like terms

21/2 - 95/12 =x

126-95/12 = x

31/12=x

2 7/12 =x

Therefore, the carpenter used 2 7/4 feet of plank for the shelf

Answer:

Step-by-step explanation:

Total length of plank =10 1/2 foot

He used

For Deck board=4 1/4

Step=3 2/3

Shelf=x

Total plank=deck board + step + shelf

10 1/2 = 4 1/4 + 3 2/3 + x

Answer:

19

Step-by-step explanation:

[tex]f(x) =4x^3-8x^2+ax+b[/tex] has a factor [tex]2x-1[/tex] and

when divided by [tex]x+2[/tex], remainder is 20.

To find:Remainder when divided by (x-1)  ?

Solution:

[tex]2x-1[/tex] is a factor

[tex]2x - 1 = 0 \Rightarrow x = \frac{1}{2}[/tex] when we put this value of x to the function, it will become 0.

i.e.

[tex]\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)[/tex]

Remainder is 20 when f(x) is divided by [tex]x+2[/tex]

i.e.

[tex]f(-2) =20[/tex]

[tex]\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)[/tex]

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

[tex]5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}[/tex]

By equation (1):

[tex]a+2(18) = 3\\\Rightarrow a = -33[/tex]

So, the equation becomes:

[tex]f(x) =4x^3-8x^2-33x+18[/tex]

[tex]\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}[/tex]

So, when divided by (x-1), remainder will be 19.

Answer:

x = 7/2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj side / hypotenuse

cos 45 = x / 7 sqrt(2) /2

7 sqrt(2)/2 cos 45 = x

7 sqrt(2)/2 (1/ sqrt(2))= x

7/2 = x

Hey there! I'm happy to help!

Since we are using graphs, we will do not need to algebraically solve this system of equations.

When you graph a system of equations, the solution is always the point at which the two lines intersect.

Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3

Have a wonderful day! :D

Answer:

C.

Step-by-step explanation:

A concave polygon must have atleast an internal angle which is greater than other angles.

[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{3x-y}{4x+5y}=\frac{3}{5}\\\\[/tex]

Cross multiply

5*(3x-y) = 3*(4x + 5y)

5*3x -5*y = 3*4x + 3*5y

15x - 5y = 12x + 15y

15x - 12x = 15y + 5y

     3x    =  20y

     3x = 4y * 5

[tex]\frac{3x}{4y} = 5[/tex]

A two-way table is such that has two categorical variables and as such, the data are presented in rows and columns.

The correct row and column headings for the given dataset are:

Column: above 60°F, below 60°F, Row: sunny, not sunny

Given that:

[tex]Above\ 60^oF=14[/tex]

[tex]Below\ 60^oF=17[/tex]

[tex]Sunny = 19[/tex]

The two-way table would have the following representations;

The following representations are also possible

Base on the above representations, we can conclude that options (b) is true

Read more about two-way tables at:

https://brainly.com/question/20608299