which angles are supplementary to each other?

Answer:

[tex]\bold{\dfrac{1}{12}}[/tex]

Step-by-step explanation:

The dice is rolled 3 times.

To find:

The probability that a 4 will come up exactly twice = ?

Solution:

Let 4 comes up exactly twice, let the third number be [tex]x[/tex].

The possible outcomes can be:

([tex]x[/tex], 4, 4) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.

(4, [tex]x[/tex], 4) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.

(4, 4, [tex]x[/tex]) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.

So, the total number of favorable outcomes possible = 6 + 6 + 6 = 18

Total number of outcomes that can be possible at roll of 3 dice:

6 [tex]\times[/tex] 6 [tex]\times[/tex] 6  = 216

Formula for probability of an event E is given as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(\text{exact 2 fours}) = \dfrac{18}{216}\\\Rightarrow \bold{P(\text{exact 2 fours}) = \dfrac{1}{12}}[/tex]

Answer:

96 bales

Step-by-step explanation:

[tex]\frac{64}{4}[/tex] = [tex]\frac{x}{6}[/tex]

You must multiply 6 by 64, which is 384.

Then you divide that by 4, which is 96.

Therefore, the answer is 96.

Also, I lined up the bales in the same row and horses in the same row, so this way can help. It can also help if it's in the same column though, but I hope this helped you!

Answer:

96

Step-by-step explanation:

Answer:

Step-by-step explanation:

(1 - 9)/(7 - 9)= -8/-2 = 4 is the slope

Answer:

22

Step-by-step explanation:

4+18=22 if y is solved for 18 in the equation 4+y= the answer would be 22.

Answer:

22

Step-by-step explanation:

Evaluate y + 4 where y = 18:

y + 4 = 4 + 18

Hint: | Evaluate 4 + 18 using long addition.

| 1 |  

| 1 | 8

+ | | 4

| 2 | 2:

Answer: 22

Answer:

C. 95:19

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

because the total number of students is 95 and those who play Spanish club is 19

Answer:

Average velocity of the function over the given interval

              =  [tex]log(\frac{7}{4} ) -2[/tex]

Step-by-step explanation:

Explanation:-

Given function y = 3/x -2 ...(i)

The average velocity of the function over the given interval

             Average velocity  = [tex]\frac{1}{b-a} \int\limits^b_a {(\frac{3}{x} -2)} \, dx[/tex]

                               =    [tex]\frac{1}{7-4} \int\limits^7_4 {(\frac{3}{x} -2)} \, dx[/tex]

now integrating

                           =   [tex]\frac{1}{3}( \int\limits^7_4 {(\frac{3}{x} )} \, dx-2\int\limits^7_4 {1} \, dx )[/tex]

                           = [tex]\frac{1}{3} (3 (log x) - 2 x )_{4} ^{7}[/tex]

                        =   [tex]\frac{1}{3}( (3 (log 7) - 14 )-(3 log 4 -8))[/tex]

by using formulas

                 log a-log b = log(a/b)

  on simplification , we get                  

                 = [tex]\frac{1}{3}( (3 (log 7) -3 log 4 ) - \frac{1}{3} (6)[/tex]

                = [tex]log(\frac{7}{4} ) -2[/tex]

Average velocity of the function over the given interval

              =  [tex]log(\frac{7}{4} ) -2[/tex]

Answer:

3/x

Step-by-step explanation:

1 wall - x hours

y wall - 3 hours

y = (1*3)/x=3/x

The fraction of the wall that she paints in 3 hours is 3/x.

Here,

A painter paints a wall in x hours.

We have to find, the fraction of the wall that she paints in 3 hours.

What is fraction?

A fraction simply tells us how many parts of a whole we have.

Now,

Here, A painter paints a wall in x hours

1 wall = x hours

Let number of walls is z when she paints in 3 hours.

z wall = 3 hours

Hence, The fraction of the wall that she paints in 3 hours =( 1 x 3)/x

                                                                                        = 3/x

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Answer:

- A reflection can be done on a point, shape, or object

- A reflection flips a shape across a line

Step-by-step explanation:

A reflection is a rigid transformation, meaning that the object that you are reflecting does NOT change size or shape. A reflection is when you graphically "flip" an image across a line such as the x-axis or the y-axis.

Answer:

The Expression is equivalent to 12+3+ negative 7

Step-by-step explanation:

When you sub tract something for example 5-3 the three can be looked at as a negative number. 5-3=2 but 5+ (-3)=2 as well

The associative property indicates that the true statement about the expression is the option;

''The expression is equivalent to 12 + 3 + (negative 7) because of the associative property''

The associative property is related to the grouping of the numbers in an operation. According to the associative property changing the grouping of numbers does not change the result of addition and multiplication.

The associative property allows us to change the grouping of the addition operation, so we can rewrite the expression as follows; (12 + 3) + (negative 7), which simplifies to 15 + (negative 7) or 8. The commutative property on the hand, allows us to change the order of the addition operation. However, with regard to the question, it is not relevant because the expression involves addition and subtraction

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Answer:

21.42x+28.56

Step-by-step explanation:

Expand: 4.2×5.1×x+4.2×6.8

4.2×5.1×x  to (21.42)x

Simplify: 21.42x+4.2×6.8

4.2×6.8 = 28.5628.56

21.42x+28.56

Answer:

12a

Step-by-step explanation:

Because -9a and 9a would get rid of themselves the only "a-value" left is 12a. 10 and -10 also cancel each other out so 12a is all that is left.

If you need more help let me know, have a great day!

Answer:

12

Step-by-step explanation:

No of tulips = 60

No of daffodils = 72

We need to find the greatest number of bouquets the florist can make if the florist will make bouquets with the same number of tulips and the same number of daffodils in each using all the flowers.

It would mean that we need to find the HCF of 60 and 72

Prime factorisation of 60 = 2×2×3×5

Prime factorization of 72 =  2 x 2 x 2 x 3 x 3

Highest common factor or HCF = 2×2×3 = 12

So, the florist can make 12 bouquets as maximum number.

The odd function from the following function is f(x) = 6x³ + 2x.

The function f(x) is said to be an odd function if the output value of f(-x) is the same as the negative of f(x) for all values of x in the domain of f.

f(-x) = -f(x)

The functions are given below.

f(x) = 3x² + x

f(x) = 4x³ + 7

f(x) = 5x² + 9

f(x) = 6x³ + 2x

f(x) = 3(-x)² + (-x) = 3x² - x

f(x) = 4(-x)³ + 7 = -4x³ + 7

f(x) = 5(-x)² + 9 = 5x² + 9

f(x) = 6(-x)³ + 2(-x) = -6x³ - 2x = - (6x³ + 2x)

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Answer:

D f(x) = 6x3 + 2x

Step-by-step explanation:

Answer:

1)26=8+v

v=26-8

v=18

2)3+P=8

P=8-3

P=5

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Answer:

C) line BD

Step-by-step explanation:

If you fold along the line the sides of the shape should line up perfectly. the only answer listed that fits the criteria is C

Answer:

18

Step-by-step explanation:

First, I'm assuming AB=4=4x-2 was a typo and it's supposed to be AB = 4x - 2

AB=BC

AB = 4x - 2 BC = 3x + 3

4x - 2 = 3x + 3

Solve for x Add 2 to each side

4x - 2 = 3x + 3

4x - 2 + 2 = 3x + 3 + 2

4x = 3x + 5 Subtract 3x from each side.

4x - 3x = 3x- 3x + 5

4x - 3x = 5

x = 5

Now plug back in to the original equations

AB = 4x - 2                  BC = 3x + 3

AB = 4 (5) - 2               BC = 3(5) + 3

AB = 20 - 2                  BC = 15 + 3

AB = 18                        BC = 18

So AB is 18

Step-by-step explanation:

To write 5 as a fraction with a common denominator, multiply by 55 . Combine 5 and 55 . Combine the numerators over the common denominator. Simplify the numerator.

The convert of the mixed fraction into an improper fraction is [tex]\frac{27}{25}[/tex]

[tex]= 5\frac{2}{5}\\\\ = \frac{27}{25}[/tex]

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Answer:

70.71m

Step-by-step explanation:

In order to find the diagonal, we can use Pythagiras theorem by splitting the field in half and creating a right angled triangle.

A^2+B^2=C^2

50^2+50^2=C^2

5000=C^2

Square root 5000= 70.71m (2dp)

Hope this helped!

Since there is a barricade placed along the diagonal sq field, let's focus on one side of the triangle.

A pythagoras theorem formula can be used for right angle triangle.

So now we let the barricade be X.

By Pythagoras Theorem,

X² = 50² + 50²

X = sq root (50² +50²)

= 70.711 m ( 5sf)

= 70.7 m ( 3sf)

Therefore, the length of barricade is 70.7 m

Step-by-step explanation:

(f○g)(-3)

= f(g(-3))

g(-3) =

[tex] \frac{2}{2( - 3) - 1} [/tex]

g(-3) = -2/7

f(-2/7) = (-2/7)^2 + 2(-2/7) -4

= 4/49 - 4/7 - 4

= 4/49 - 28/49 - 196/49

= -220/49

please check again ^-^

Answer:

4.02

Step-by-step explanation:

4+1/5

4+0.2

4.02

Answer:

i need the number line

Step-by-step explanation:

lol

Answer:

25% increase.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The pair of variables that will most likely have a negative correlation are D. the time spent reading a book and the number of pages remaining to be read in the book.

If you spend a longer time reading a book, you would read more pages which would reduce the number of pages left to be read. The time taken to read the book is therefore negatively correlated with the number of pages left.

In conclusion, option D is correct.

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Answer:

Tip amount: $6.49

Final amount of the bill: $38.92

Step-by-step explanation:

We need to calculate the tip amount which is 20% of $32.43.

Then we will add the tip amount to $32.43.

To find a percent of a number, change the percent to a decimal by dividing the percent by 100 and multiply by the number.

20% of $32.43 =

= 0.2 * $32.43

= $6.486

We round off the tip amount to the nearest cent, $6.49

The tip amount is $6.49

To find the final amount of the bill, we add the tip amount to the bill amount.

$32.43 + $6.49 = $38.92

Answer:

Step-by-step explanation:

1/2 n + 3 = 6

-3 -3

1/2 = 3

Answer is 1.5=n

Answer:

n = 18

Step-by-step explanation:

(1/2)*n-3 = 6 // - 6

(1/2)*n-6-3 = 0

1/2*n-9 = 0 // + 9

1/2*n = 9 // : 1/2

n = 9/1/2

n = 18

n = 18

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