Name the angle in as many different ways as possible.

Answer:If you can spot a factor of

f(x)

then you can use synthetic division to divide by that factor to give a simpler polynomial to factor.

Step-by-step explanation:

Answer:

Rs 984

Step-by-step explanation:

Principal (P) = Rs 9,600

Time (T) = 2 years

Rate (R) = 5%

Simple Interest (SI) = [tex]\frac{PTR}{100}[/tex]

SI = [tex]\frac{9600*2*5}{100}[/tex]

SI = [tex]\frac{9600}{10} = Rs 960[/tex]

Compound Interest (CI) = 9600 * [tex]\frac{41}{100} = 24*41 = Rs 984[/tex]

go ask God bro ain't nobody know that

Answer:

I am not 100% sure more like 12% sure that it is c

Step-by-step explanation:

Functions and their domains of all the subparts are:

So,

(A) (fog)(x) and domain:

[tex](f \circ g)(x)=f(g(x))=(g(x))^2+g(x)=\left(x^2+14 x+2\right)^2+x^2+14 x+2\\=x^4+28 x^3+200 x^2+56 x+4+x^2+14 x+2=x^4+28 x^3+201 x^2+70 x+6[/tex]

The domain of (fog)(x) is the collection of domain values for g(x) with range values in the domain of f(x).

Because both functions are polynomials, the domain is [tex](-\infty, \infty)[/tex].

(b) (gof)(X) and domain:

[tex](g \circ f)(x)=g(f(x))=(f(x))^2+14(f(x))+2=\left(x^2+x\right)^2+14\left(x^2+x\right)+2\\=x^4+2 x^3+x^2+14 x^2+14 x+2=x^4+2 x^3+15 x^2+14 x+2[/tex]

The domain name is [tex](-\infty, \infty)[/tex] because this is a polynomial composition.

(c) (fof)(x) and domain:

[tex]\begin{aligned}&(f \circ f)(x)=f(f(x))=(f(x))^2+f(x)= \\&\left(x^2+x\right)^2+x^2+x=x^4+2 x^3+x^2+x^2+x=x^4+2 x^3+2 x^2+x\end{aligned}[/tex]

Because this is a polynomial composition, the domain is [tex](-\infty, \infty)[/tex].

(d) (gog)(x) and domain:

[tex](g \circ g)(x)=g(g(x))=(g(x))^2+14(g(x))+2=\left(x^2+14 x+2\right)^2+14\left(x^2+14 x+2\right)+2\\=x^4+28 x^3+200 x^2+56 x+4+14 x^2+196 x+28+2=x^4+28 x^3+214 x^2+252 x[/tex]

Because this is a polynomial composition, the domain is [tex](-\infty, \infty)[/tex].

Therefore, functions and their domains of all the subparts are:

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The complete question is given below:
Find the functions and their domains. (enter the domains in interval notation.)

[tex]f(x)=x^2+1 x, g(x)=x^2+14 x+2[/tex]

(a) (fog)(x) and domain

(b) (gof)(X) and domain

(c) (fof)(x) and domain

(d) (gog)(x) and domain

As  given Chole and Tinos age , the present age of Tino is equal to 15 years.

As given,

Let x and y be the present age of Chole and Tino. respectively.

Combined age = 48

Given condition,

x + y = 48 _______(1)

Three years ago

x - 3 = 2y

⇒x =2y +3 _______(2)

Substitute the value of x in (1),

2y+3 +y =48

⇒ 3y = 45

⇒ y = 15years

Therefore , as given Chole and Tinos age , the present age of Tino is equal to 15 years.

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The numbers arranged in decreasing order from greatest to least is given by 133 , 53 ,34 ,33 ,20 ,17 ,7 .

Decremental Order When numbers (or other items) are arranged from largest to smallest, this is known as decreasing order.

Given numbers are 7, 133 , 34, 33 ,17, 20 , 53.

From looking at the numbers to arrange them in decreasing order we can see that 133 is the greatest of the numbers , so it will come first.

Then comes 53 which is the second highest number , then comes 34 the third highest number and so on unless we get the least number which is 7.

Hence the given numbers are arranged greatest to least:

133, 53, 34, 33, 20, 17.

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Answer: 1

Step-by-step explanation:

[tex]\displaystyle\\\frac{14}{33} *\frac{55}{8} *\frac{12}{35} =\\\\\frac{14*55*12}{33*8*35}=\\\\\frac{2*7*5*11*3*4}{3*11*2*4*5*7}=\\\\\frac{1}{1}=\\\\1[/tex]

The solution of the expression for a is a = -1 9/40

The expression is given as:

negative a minus five eighths equals three fifths for a.

Rewrite the expression properly as:

-a - 5/8 = 3/5

Collect the like terms in the above expression

So, we have:

a = -5/8 - 3/5

Evaluate the like terms in the above expression

So, we have:

a = -1 9/40

Hence, the solution of the expression for a is a = -1 9/40

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Answer:

y = -11

Step-by-step explanation:

23 + 18y = -21 + 14y

Combine like terms

18y - 14y = -21 -23

Do the math

4y = -44

Divide both sides by 4

y = -11

Answer:

111111111/200000000

The factor tree diagram is shown below.

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

Explanation:

The first few primes are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

These numbers have factors of 1 and themself only.

Divide 405 over the smallest prime (2)

405/2 = 202.5

We don't get a whole number result, so 2 is not a factor of 405

Repeat for the prime next prime (3)

405/3 = 135

We get a whole number result. Therefore, 3 is a factor of 405

405 = 3*135

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

Now focus on 135.

Divide 135 over the smallest prime (2)

135/2 = 67.5

This rules out 2 as a factor of 135

Repeat for the prime number 3

135/3 = 45

So we can see that

135 = 3*45

which shows 3 is a factor of 135.

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

Now focus on 45. The prime 2 isn't a factor since 45/2 = 22.5 isn't a whole number

But 3 is a prime factor because 45/3 = 15 is a whole number. So 45 = 3*15 is the case.

Furthermore, 15/3 = 5 to show that 15 = 3*5

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

We can express all of this as a factor tree as shown below. The primes have been circled in red.

We have the primes of: 3, 3, 3, 3, 5

We can shorten the four '3's into 3^4

Therefore, 405 = 3^4 * 5

The product in terms of prime factor is  3*3*3*3*5.

The factors of a number are numbers that evenly divide into it. A prime factor is a factor that is only divisible by 1 and itself.

Given:

405

On performing prime factorization

405= 3*3*3*3*5

Hence, the prime factors are  3*3*3*3*5.

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Answer: -1

Step-by-step explanation:

      We will use the Order of Operations to solve;

Given:

-4 + (3)² ÷ (5 + 4) • 3

Addition in parentheses:

-4 + 9 ÷ (9) • 3

Raise to the power of 2:

-4 + 9 ÷ (5 + 4) • 3

Division:

-4 + 1 • 3

Multiplication:

-4 + 3

Addition:

-1

Colton is approximately 3.9 feet apart from his  younger sister.

Pythagoras Theorem:

The statement o the Pythagoras theorem is, "if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. "

Then it can be written as,

BC² = AB² + AC²​​.

Where,

​​​​AB is the base,

AC is the altitude (height), and

BC is the hypotenuse.

Given,

Colton looks around at an assembly. he notices his younger sister to his right and his older brother 7 feet ahead of him.

And Colton's brother and sister are 8 feet apart.

Now, we need to find the distance between Colton and his younger sister.

Based on the given statement, we can draw their position like the following figure.

Here B represents the position of Colton, A represents the position of his older brother and C represents the position of his younger sister.

Now, we have to use the Pythagoras Theorem in order to solve it,

=> 8² = BC² + 7²​​.

=> 64 = BC² + 49

=> 64 - 49 = BC²

=> BC² = 15

=> BC = √15

Therefore,

=> BC ≈ 3.9 feet

Therefore, the distance between Colden and his younger sister is approximately 3.9 feet.

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The coordinates of A, B and C are (-1, -8), (0, -7) and (1, -6) respectively.

Here, we are given that A, B and C are coordinates on the line y = x − 7.

Also, we are given the following table for x and y values of A, B and C

x                    -1    0    1

y                    -8  -7   -6

coordinates   A  B  C

The coordinates of a point are written in (x, y) format where x and y are the values of the x and y axis respectively.

Thus, the coordinates of A are (-1, -8)

the coordinates of B are (0, -7)

and the coordinates of C are (1, -6)

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Answer:

Divisible rule of 11

If the number of digits of a number is even, then add the first digit and subtract the last digit from the rest of the number

Divisible rule of 5

Divisibility by 5 is easily determined by checking the last digit in the number.  If the last number is either 0 or 5, the entire number is divisible by 5.

First of all, the number 3456 is not divisible by 11 and 5.

But if we change position of digits then the numbers divisible by 11 are-

3564 / 11= 324

3465 / 11= 315

3465 / 5= 693

4356 / 11 = 396

4653 / 11 = 423

5346 / 11 = 486

5643 / 11 = 513

6534 / 11 = 594

6435 / 11 = 585

6435 / 5=1287

But the numbers 3465 and 6435 are also divisible by 5

So the numbers divisible by 11 but not with 5 are:

3564 , 4356, 4653, 5346, 5643 and 6534

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For a particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s, the displacement is -11.53 m

For given question,

A particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s.

We can observe that, for t1 = 1.82 s and t2 = 3.81 s

object is moving from right to left along the x axis.

We know that, the displacement of a particle moving in a straight line is the change in its position.

so, d = 4.97 - 16.5

d = -11.53

The negative sign indicates that the object is moving from right to left along the x axis  for t1 = 1.82 s and t2 = 3.81 s

Therefore, for a particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s, the displacement is -11.53m.

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The sum of n natural numbers is three digits number and all digits are the same. The same digits is 6 and the sum is 666.

A three-digit number with the same digits is the sum of n natural numbers.

Let's say the sum of n natural numbers is bbb.

Then,

n( n + 1) / 2 = bbb

n( n + 1) / 2 = b( 111 )

n( n + 1) / 2 = b ( 3 × 37 )

n( n + 1) = 6b × 37

Now, the left-hand side of the equation is the product of two consecutive natural numbers.

Therefore, the right-hand side of the equation is also the product of two consecutive natural numbers.

Hence, 6b = 36

b = 36/ 6

b = 6 and n = 36

As a result, 36 numbers have been added together, and their total is 666.

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The larger bottle holds a 700ml volume of water.

What is volume?

Two(2) bottles given in the pic are similar(no difference)

Therefore, the volume/cm height of both(2) bottles will proportional

By using the proportionality rule, [tex]\frac{15}{500} =\frac{21}{x}[/tex]

   x = 700ml(seven hundred)

Hence, the correct answer is 700ml.

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Answer:

60 ft^2

Step-by-step explanation:

The cubed root of 125 is 5 because (5x5x5) = 125 and there are 12 cubicles so multiply 12 times 5 and that equals the length of 1 row, 60 ft^2.

Answer:

35/4

Step-by-step explanation:

8*4=32

32+3

=35

35/4

The option for  sequences are arithmetic are:

From the first option we can see that -5,5,-5,5… dose not follow any sequence  of arithmetic.

if we take the  18,5.5, –7, –19.5, which are the digits from the second option and if we find their differences we will get 12.5

Then if we take the numbers from the 16, 32, 48, 64 and find the differences between the first two numbers as well as the last two numbers then we will have 16.

Therefore, since we can have constant results between consecutive numbers then it is sequence  of arithmetic.

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We get A' as { 2, 6, 8, 16}. B' as {12, 18}, (AUB)' as ∅ and A' U B' as {2, 6, 8, 12, 16, 18}.

We are given the sets as:

U= { 2, 4, 6, 8, 10, 12, 14, 16, 18}

A = {4, 10, 12, 14, 18}

B = { 2, 4, 6, 8, 10, 14, 16}

We first will find out A':

A' = U - A

A' = { 2, 4, 6, 8, 10, 12, 14, 16, 18}  - {4, 10, 12, 14, 18}

A' = { 2, 6, 8, 16}

Now, we will find B':

B' = U - B

B' = { 2, 4, 6, 8, 10, 12, 14, 16, 18}  - { 2, 4, 6, 8, 10, 14, 16}

B' = { 12, 18}

Now, we have to find:

(AUB)' = U - (AUB)

AUB = {4, 10, 12, 14, 18} U { 2, 4, 6, 8, 10, 14, 16}

AUB = { 2, 4, 6, 8, 10, 12, 14, 16, 18}  = U

(AUB)' = U - U = ∅.

Now, we will find A' U B':

A' U B' = { 2, 6, 8, 16} U { 12, 18}

A' U B' = {2, 6, 8, 12, 16, 18}

Therefore, we get A' as { 2, 6, 8, 16}. B' as {12, 18}, (AUB)' as ∅ and A' U B' as {2, 6, 8, 12, 16, 18}.

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Step-by-step explanation:

option b is the correct answer

Answer: 7.333

Step-by-step explanation:

first move the three over 47-3 = 6y

the divide by - 6 to get y by itself 44/-6 = y

The different expressions to represent three groups of five are 3 * 5, 5 + 5 + 5 and 3 + 3 + 3 + 3 + 3

The mathematical statement is given as:

three groups of five

The statement three groups of five means

Three multiplied by 5

i.e. 3 * 5

This can also be written as

5 + 5 + 5

Also, it can be expressed as

3 + 3 + 3 + 3 + 3

Hence, the different expressions to represent three groups of five are 3 * 5, 5 + 5 + 5 and 3 + 3 + 3 + 3 + 3

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