Find the GCF of the monomials 6d3, 27d2

Answer:

answer: 1/36 or 2.8%

Step-by-step explanation:

Green is the answer because probability for this will be found by doing the chances for both multiplied by each other there is a 1/6 chance of getting 5 so 1/6 x 1/6 = 1/36 so thats why green is the answer. Hope that helps!

Answer:

The largest 7-digit number, is a 7 nine digits, this number is:

9,999,999

If we subtract one, we get a 7-digit number smaller than this one.

if we add one, we get an 8-digit number.

Then this one is the greatest 7-digit number.

The successor of this number, is equal to the number plus one:

9,999,999 + 1 = 10,000,000

The smallest 8-digit number is the first 8-digit number, and we know that this one is:

10,000,000

And the predecessor is equal to this number minus one:

10,000,000 - 1 = 9,999,999

So we can conclude that:

The successor of the greatest 7-digit is the smallest 8-digit number

The predecessor of the smallest 8-digit number is the greatest 7-digit number.

And we could interpolate this for any N-digit number, such that:

The successor of the greatest N-digit is the smallest (N + 1)-digit number

The predecessor of the smallest (N + 1)-digit number is the greatest N-digit number.

Answer:

Answer c 1,800

Step-by-step explanation:

The total interest at the rate of 4.5% interest of the amount of $8000 will be $1800 hence option (C) will be correct.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Simple interest has a constant principal amount, as opposed to compound interest, which multiplies the interest from the principal of previous years to calculate the interest of the subsequent year.

Given that

Principle amount (P) = $8000

Rate of interest (R) = 4.5%

Time period (T) = 5 years.

The interest in the T time period has been given by

Total interest = PRT/100

So,

Total interest  = 8000×4.5×5/100  = 1800

So total interest of the given amount will be $1800.

For more about simple interests,

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9514 1404 393

Answer:

  x ≈ 4.2

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(72°) = b/x = 13/x

  x = 13/tan(72°) ≈ 4.223956

Rounded to the nearest tenth, x ≈ 4.2.

Answer:

x=3

Step-by-step explanation:

Assuming both are congruent,

5x-8 = 2x+1

  +8         +8

5x=2x+9

-2x -2x

3x=9

x=3

Answer:

f(-4) = 56

Step-by-step explanation:

f(x) = 3x² - 2x

To find f(-4), substitute -4 for all the values of x in f(x).

f(-4) = 3(-4)² - 2(-4)

Square -4.

f(-4) = 3(16) - 2(-4)

Multiply 3 and 16.

f(-4) = 48 - 2(-4)

Multiply -2 and -4.

48 + 8

Add.

56

You had the right idea! :)

Answer:

x = - 10

Step-by-step explanation:

2x + 6 = x-4

2x - x = -4 - 6

x= -10

Answer:

The value of x = -10

Step-by-step explanation:

2(x+3) = x - 4

2x + 6 = x - 4

2x - x = -4 - 6

1x = -10

x = [tex]\frac{-10}{1}[/tex]

Value of x equals to -10!

Answer:

a) $12

b) $2.99

Explanation:

for both questions, the amount saved would be the original price × discounted percentage, since that is the amount that does not have to be paid due to the discount.

as such:

a) $150 × 8% = $12

b) $23.95 × 12.5% = $2.99 (to 2 decimal places)

i hope this helps! :D feel free to comment if you need to clarify anything

Answer: b

Step-by-step explanation:

Based on the given relative frequency table, and the Venn diagram, the values a and b would be 12% and 18%. a = 12%, b = 18%.

First find the total number of people surveyed:

= 84 + 17 + 25 + 15

= 141

The value of A would be:

= Carrots and turnips / total people

= 17 / 141

= 12%

= Number of people who prefer turnips / Total suriveyed

= 25 / 141

= 18%

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Answer:

d

Step-by-step explanation:

If  sin (A + B) = 1

and tan (A - B) = 1/√3

value of:

We know that,

So,

A + B + A - B = 90 + 30

(A + A) + (B - B) = 120

2A = 120

A = 120/2

By putting value of A in 2

A - B = 30

60 - B = 30

-B = 30 - 60

-B = -30

tan 60 + tan 30

We know that

√3 + 1/√3

√3 × √3 + 1/√3

3 + 1/√3

[tex]4/√3[/tex]

sec A- cosec B

sec 60 - cosec 30

We know that

2 - 2 = [tex]0[/tex]

tan A+ tan B=4/√3

sec A- cosec B=0

Answer:

2nd choice

Step-by-step explanation:

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Answer:

2

Step-by-step explanation:

1

8x1 = 8

8-2=6

2

8x2=16

16-2=14

Answer:

B

Step-by-step explanation:

Answer:

the answer is B most likely

Answer:

[tex]Tan(A+B)=\frac{264}{23}[/tex]

Step-by-step explanation:

From the question we are told that:

 [tex]SinA=\frac{28}{53}[/tex]

 [tex]CosB=\frac{3}{5}[/tex]

Let X be the adjective side to A

Let Y be the opposite side to B

Generally the equation for X is mathematically given by

 [tex]X^2=\sqrt{53^2-28^2}[/tex]

 [tex]X=45[/tex]

Therefore [tex]TanA[/tex]

[tex]TanA=\frac{28}{45}[/tex]

Generally the equation for Y is mathematically given by

 [tex]Y^2=\sqrt{5^2-3^2}[/tex]

 [tex]Y=4[/tex]

Therefore [tex]TanB[/tex]

[tex]TanB=\frac{4}{3}[/tex]

Generally the equation for [tex]Tan(A+B)[/tex] is mathematically given by

[tex]Tan(A+B)=\frac{TanA+TanB}{1-TanA*TanB}[/tex]

[tex]Tan(A+B)=\frac{\frac{28}{45}+(\frac{4}{3})}{1-(\frac{28}{45})*(\frac{4}{3})}[/tex]

[tex]Tan(A+B)=\frac{264}{23}[/tex]

Answer:

CA=20  CD=20

AB=23  DE=23

BC=29  EC=29

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

Min: 72

Q1: 83

Median: 89

Q3: 92

maximum: 94

Answer:

x= 3. y = 3

Step-by-step explanation:

-3x + 7y = 12. #1

x - 2y = -3. #2

Multiply Eqtn #2 by 3 and add the two together:

-3x + 7y = 12

3x - 6y = -9

or. y = 3

Plug this value into Eqtn #2 and you'll get

x = 3

Answer:

690.8 in^2

Step-by-step explanation:

First find the area of the three circles, by doing 3.14 r^2

With the innermost circle, 3.14 6^2 --> 113.04

With the second circle, 10 inches + 6 inches (inner circle radius), 3.14 16^2 --> 803.84.

With the outermost circle, you don't need it for the problem.

Then, we do subtraction to find the area of the shaded region, removing the "dount hole".

803.84 - 113.04 = 690.8 in^2

Step-by-step explanation:

We are going to start by working out the interior angles so first of all to work out the interior angle we used the formula: num of sides - 2 * 180 for the sum of degrees in a shape.

Lets test this formula.

Lets say we have a square it has 4 sides 4-2 = 2 *180 = 360 this is correct,meaning we can trust this formula.

Now lets put it to use.

Octagon has 8 sides - 2 = 6.

6 * 180 = 1080

Pentagon has 5 sides - 2 = 3

3 * 180 = 540

Another Pentagon 5 sides - 2 = 3

3 * 180 = 540

We have to find out a single angle because it is one side that joins to the other, also if it is a perfect fit then all the single angles must add up to 360.

1080/8 sides = 135 degrees

540 / 5 sides = 108 degrees

540 / 5 sides = 108 degrees

We add these up,

135 + 108 + 108 = 351 which cannot be a possible fit because we need 360 degrees.

Hope this helps

Answer:

q is around 85-89 and S is 91-95

Step-by-step explanation:

sorry i dont have a protractor on me this is the best i can do

Answer:

y = -5/2x + 1

Step-by-step explanation:

y=mx+b

m is slope

b is y intercept

Answer:

(-2, 6)

(0,1)

(2,-4)

Step-by-step explanation:

It where the line meets the graph but like where the line meets equally together with other lines

formula (x,y)

Answer:

x - 2 + 2/(x + 1)

Step-by-step explanation:

These are really hard to type out and get the spacing right, so see the attached printout from a website that does carefully show steps in a polynomial division problem.

The website is:

https://www.emathhelp.net/calculators/algebra-1/polynomial-long-division-calculator/?numer=x%5E2-x&denom=x%2B1

Answer:

D

89 degree

Step-by-step explanation:

exterior angle is equal to twp opposite interior angle so w+33=122

then w=122-33

so w=89

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Answer:

Step-by-step explanation:

Answer:

13= 89%

Step-by-step explanation:

89/100= .89= 89%

Answer:

13. 89%

14. 1/10 to each friend

Step-by-step explanation:

13. 89/100 = 0.89 -> 89%

100%/10 friends = 10% per friend, so 1/10 of the cake goes to each friend.

Fredrick can use decims as 0.1, as 0.1 of the cake goes to each friend.

Answer:

- 32, - 7, 18 and 127, 106, 85

Step-by-step explanation:

Add the common difference d to the previous term

(1)

a₁ = - 32

a₂ = a₁ + 25 = - 32 + 25 = - 7

a₃ = a₂ + 25 = - 7 + 25 = 18

The first 3 terms are - 32, - 7, 18

(2)

a₁ = 127

a₂ = a₁ + d = 127 - 21 = 106

a₃ = a₂ + d = 106 - 21 = 85

The first 3 terms are 127, 106, 85

Answer:

-32, -7, 18 and

127, 106, 85

Step-by-step explanation:

You can use the following formula to solve this:

[tex]a_{n} = a_{1} + (n - 1)d[/tex]

a is the nth term in the sequence. So at the 3rd term, n = 3

a₁ is the first term in the sequence. In your first question, a₁ is -32. In your second, a₁ is 127.

(n - 1) represents the term before a, or the term before the current term. So at the 3rd term, (n - 1) = 3-1, which is 2.

d represents the common difference between terms. Aka what you add or subtract to a term to get the next one.

For the first question, you know a₁ and d, so you can substitute them into the equation to find the second and third terms:

a = -32 + (n - 1)25

You also know (n-1), because a is 2 when you're looking for the second term. So (n-1) = 2-1, which is 1. So put that in the formula and simplify:

a = -32 + (1)25

a = -32 + 25

a = -7

The second term is -7. To find the 3rd term, do the same thing.

a = -32 + (n - 1)25

(n-1) is 2, since you're on the third term and n is 3.

a = -32 + (2)25

a = -32 + 50

a = 18

So the first 3 terms are -32, -7, and 18.

For the second one, the formula looks like this:

a = 127 + (n - 1)-21

The first term is 127. Find the 2nd (n is 2):

a = 127 + (1)-21

a = 127 -21

a = 106

Then find the 3rd term (n is 3)

a = 127 + (2)-21

a = 127 -42

a = 85

So the first 3 terms are 127, 106, and 85.