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Answer: F 20%

Step-by-step explanation:

50 is 20% of 250

The option that gives the correct value of the second term is;

Option B; -73728x¹¹y

We are given the expression;

(2x - 3y)¹²

Now we want to find the second term using binomial expansion.

(x + y)² = x² + 2xy + y²

(x - y)³ = x³ - 3x²y + 3xy² + y³

(x - y)⁴ = x⁴ - 4x³y + 6x²y² - 4xy³ + y⁴

(x - y)¹² = x¹² - x¹¹y + x¹⁰y² - x⁹y³ + ....

Now applying this same system above to our question gives us;

(2x - 3y)¹² = 4096x¹² - 73728x¹¹y + 608256x¹⁰y² - 3041280x⁹y³ + ........

Thus, our second term here is; -73728x¹¹y

In conclusion, the correct option that gives the second term is Option B.

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Answer:

80 m High and 157 m away

Step-by-step explanation:

Cos(27)=x/176

x= 156.8 m

Sin(27) = y/176

y = 80

Answer:

180 litres

Step-by-step explanation:

Quart: 1.1 litre

3 quarts used every 1 time its cleaned

cleaned 5 times 1 month

5 x 3=15

12 months in a year 15 x 12 = 180

Answer: A function is the equation used to solve a variable, usually uses X and Y.

i.e. Y = 23x -9

Answer:

$1,440

Step-by-step explanation:

Given:

Borrowed amount by west company from valley bank = $48,000

Interest is paid annually = 9% per year

Time period = From 1st September to 31st December

                    = 4 months

The note issued by West carried an 18-month term.

Therefore,

Interest expense = Principal amount × Rate × Time period

                            = $48,000 × 9% × (4 ÷ 12)

                            = $48,000 × 0.09 × (1 ÷ 3)

                             = $1,440

Therefore, the amount of interest expense that will be reported on West's income statement for Year 1 is $1,440.

Answer:

[tex] \rm y = x + 16 [/tex]

Step-by-step explanation:

A function is given to us and we need to write the inverse of the function in slope intercept form . The given function is ,

[tex]\rm\implies f(x) = x - 16 [/tex]

Let ,

[tex]\rm\implies y = f(x)[/tex]

So that ,

[tex]\rm\implies y = x - 16 [/tex]

Interchange x and y ,

[tex]\rm\implies x = y - 16 [/tex]

Solve for y ,

[tex]\rm\implies y = x + 16[/tex]

Now replace ,

[tex]\rm\implies y = f^{-1}(x) [/tex]

We have ,

[tex]\rm\implies f^{-1}(x) = x+16 [/tex]

And in slope intercept form ,

[tex]\rm\implies \boxed{\pink{\frak {y = x +16}}}[/tex]

Answer:

56 cents

Step-by-step explanation:

1 quarter = 25 cents

3 dimes = 30 cents

1 penny = 1 cent -_-

25 + 30 + 1 = 56

[tex]\large\underline{\sf{Solution-}}[/tex]

Solving by Eliminating method:

[tex]\sf \leadsto 4x + 6y = 12\:\:- - - (i)[/tex]

[tex]\sf \leadsto 6x+9y = 12 \:\: - - -(ii)[/tex]

Step 1: Multiply Eqⁿ (I) by 3 and Eqⁿ (ii) by 2 to make the coefficients of y equal. Then we get the equations.

[tex]\sf \leadsto 12x + 18y = 36\:\: - - - (iii) [/tex]

[tex]\sf \leadsto 12x + 18y = 24\:\:- - - (iv)[/tex]

Step 2: Subtract Eqⁿ (iii) from Eqⁿ (iv) , we get

[tex]\sf \leadsto (12x + 18y)-(12x + 18y) = 36-24[/tex]

[tex]\sf \leadsto 0 =12, Which is a false statement. [/tex]

Therefore, the pair of equations has no solution.

Hope this helps!!

Answer:

20 million

Step-by-step explanation:

5 million SUVs are 25% of the total number of vehicles.

0.25x = 5,000,000

x = 20,000,000

Answer: 20 million

The question is an illustration of proportions.

A total of 20 million vehicles were looked into

The proportions are given as:

[tex]SUV = 25\%[/tex]

[tex]Trucks= 10\%[/tex]

Let the total number of vehicles be v.

The number of SUVs is given as 5 million.

So, we have:

[tex]SUV = 25\% \times v[/tex]

Substitute 5 million for SUV

[tex]5\ million= 25\% \times v[/tex]

Express the percentage as decimal

[tex]5\ million= 0.25 \times v[/tex]

Divide both sides of the equation by 0.25

[tex]20\ million = v[/tex]

Rewrite the equation as

[tex]v =20\ million[/tex]

Hence, 20 million vehicles were looked into

Read more about proportions at:

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Answer:

P(z < 2.51) ≈ 0.994

Step-by-step explanation:

P(z < 2.51) = normalcdf(-1e99,2.51,0,1) = 0.9939634253 ≈ 0.994

Answer:

last 2 I think

Step-by-step explanation:

okokokokokipullup

Answer:

b = a/2

Step-by-step explanation:

Answer:

the coefficient of b is 1 so and 1*0 is 0

Answer:

volume = height × length ×width

volume =18×14×2

volume =504ft³

Step-by-step explanation:

answer 504ft3

Answer:

As follows,

Step-by-step explanation:

The sum of the angles of any triangle is 180.

∠U=69

∠D=42

∠E=35

∠F=35

∠G=55

∠H=45

∠I=45

∠J=15

∠M=120

∠K=15

∠L=75

∠Q=55

∠R=55

∠S=42

∠T=42

∠P=21

∠O=69

∠N=21

∠A=60

∠B=60

∠C=60

Answer:

3 to 10

Step-by-step explanation:

Vowels are a, e, i, o, u,  sometimes y

Vowels + consonant = Total letters

6 + consonant  =  26

vowels to consonants = 6 to 20 = 3 to 10

To find the slope, we will use the slope formula and two points that are on the line. You can choose any two points as long as they are on the line.

Point 1 = (0, -2)

Point 2 = (-2, 0)

Slope-Formula: (y2 - y1) / (x2 - x1)

Now that we know our two points and the slope formula, all that's left to do is plug the points into the formula and simplify.

(0 - - 2) / (-2 - 0)

(2) / (-2)

-1

The slope of the line is -1.

Hope this helps!! :)

Answer: -1

Step-by-step explanation:

-6/6= -1

you can do it, your our future engineer or doctor

Step-by-step explanation:

HOPE IT CAN HELP ;))

Answer:

A

Step-by-step explanation:

1. Get 15% of 870:

   First, get 10 percent of 870, which is 87, then half that, which is 43.5

   Get the 87 and add the 43.5 on it, to get the full 15%, you end up with $130.5, which is the monthly payment.

(Only problem is that im pretty sure you put an extra 0, because if you just wrote 87 dollar's then you would've got 13.05, the actual answer, but if you add an extra 0 then you end up with 130$, just to let you know.)

Answer:

x>80000

Step-by-step explanation:

3600+1.02x<2000+1.04x=x>80000

Price of one unit Sausage =  1.65

Sum ( Price x Quantity) = Total Expenditure  

Price of Bread x Quantity of Bread + Price of Ketchup x Quantity of Ketchup + Price of Sausage x Quantity of Sausage

Total Expenditure Value = 10 - 0.45  = 9.55

Let price of sausage = P

Therefore, 2 (1.40) + 1 (1.80) + 3 P = 9.55

2.80 + 1.80 + 3 Ps = 9.55

4.6 + 3 P = 9.55

3P = 9.55 - 4.60 =  4.95

P = 4.95 / 3 = 1.65

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Answer:

A, B, D

Step-by-step explanation:

A polynomial is a 1 term or a sum of terms.

Each term is a number multiplied by 0 or more variables.

A term can never have a variable in the denominator or in any root. A term cannot have the logarithm of a variable or any trig function of a variable.

Answer: A, B, D

Answer: Let "T" denote households with television

"I" denote households with internet

and "N" denote households with neither of these.

Since P(N) = 0.05 then it means P(TuI) = 0.95. We know from set theory that P(TuI) = P(T) + P(I) - P(TnI). Thus,

0.95 = 0.92 + 0.72 - P(TnI) ==> P(TnI) = 0.69. This means P(T/I) = P(T) - P(TnI) = 0.92 - 0.69 = 0.23, and P(I/T) = P(I) - P(TnI) = 0.72 - 0.69 = 0.03. So,

a)

House                 Probability

Nothing                0.05

Only television      0.23

Only internet         0.03

Both                   0.69

b) P(internet but no television) = P(only internet) = 0.03

c) P(internet | there is television) = (By Bayes' Rule) P(TnI) / P(T) = 0.69 / 0.95 = 0.726 (rounded to 3 decimal points)

d) P(internet | there is no television) = (By Bayes' Rule) P(I/T) / P(T') = 0.03 / 0.08 = 0.375

e) From (c) and (d) ==> In Canada, it is (0.726/0.375 ≈ 2 ) twice more likely that if there's television in the household, then there is internet.

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

a. since we add 2 to each term in this sequence, the difference between one term and the next is a constant. therefore, it's an arithmetic sequence

b.  in this case, a = 7 and d =2

the equation would be a30 = 7 + (30-1)2

solving this gives us 65

Answer:

x= 2

y= -1

Step-by-step explanation:

Simultanous equation(elimination method)

STEP 1: multiply the number near x with the opposite equation.

in this case in equation 1, three is near x so u multiply it with the second equation.

2(3x-2y=4)

3(2x+3y=7)

you get 6x-4y=8

6x+9y=21

STEP 2: Change the sign ONLY IN SECOND equation to its opposite sign

6x-4y=8 <-------- 1st equation

6x+9y=21 <-------- 2nd equation

SO WE CHANGE THE SIGN IN SECOND EQUATION TO: -6x-9y= -21

STEP 3: Now do the elimination part and calculation

+6x-4y=8

-6x-9y= -21

___________

0x-13y= 13

NOTE: X IS ALWAYS CANCELLED IF ITS NOT THERE'S PROBABLY A MISTAKE

STEP 4: Solve for y

now that x is cancelled we have to solve for y.. to do this take the eliminated equation in step 3 and solve for y

-13y= 13

y= 13/-13

y= -1

STEP 5: We have officially solved for y.. now we need to bother about x.. to solve for x take the first original equation IN THE QUESTION and substitiute( replace) y value in equation

ORIGINAL EQUATION: 3x-2y=4

3x-2(-1)=4

3x-2=4

x= 6/3

x= 2

NOTE: YOU CAN ALSO TAKE THE SECOND EQUATION BUT ITS EASIER WHEN YOU TAKE THE FIRST ONE. EITHER WAY YOU MUST GET THE SAME ANSWER

Answer:

x=2, y=1

Step-by-step explanation:

3x-2y=4

2(3x-2y)=2(4)

6x-4y=8

2x+3y=7

3(2x+3y)=3(7)

6x+9y=21

6x+9y-(6x-4y)=21-8

6x+9y-6x+4y=13

13y=13

y=13÷13

=1

3x-2y=4

3x-2(1)=4

3x=4+2

=6

x=6÷3

=2

Hence, x=2 and y=1.