An arc subtends a central angle measuring \dfrac{3\pi}{5}
5
3π
​
start fraction, 3, pi, divided by, 5, end fraction radians.


What fraction of the circumference is this arc?

Answer: $19

Step-by-step explanation:

    We will set up equations to solve and pull the information we need from the given passage. Let x be new york cheesecakes and y be chocolate marble.

    Lea sold 14 new york and 11 chocolate marble. She made $293 total.

         14x + 11y = 293

    Adam sold 7 new york and 2 chocolate marble for $80 total.

         7x + 2y = 80

    Now I will graph the two equations. The y-coordinate in the point of intersection is the solution is the answer to your question.

         (6, 19)

         $19

    The cost for one chocolate marble cheesecake is $19.

Answer:

n=-6

Step-by-step explanation:

You would first multiply by 3 because you are trying to get n by itself?

then you will get the equation n-6=-12 then you will add six cause again you want n by itself and you get n=-6 because -12 plus 6 is -6

Using the Fundamental Counting Theorem, the number of possible sequences of eight coin faces is of 256.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, there are 8 events, each with 2 possible outcomes, hence:

[tex]n_1 = n_2 = \cdots = n_8 = 2[/tex]

Hence, the total number of sequences is given by:

[tex]N = 2^8 = 256[/tex].

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Answer:

C) 256

Step-by-step explanation:

Essentially, each coin flip is a decision, and heads or tails is the choice offered. Therefore, we calculate that there are 28 possible sequences, or 256.

Took the quiz ;)

Answer:

the number of apple trees = 45

Step-by-step explanation:

a) the total mass of apples produced = 25x

b) the number of containers of fertilizer required :

[tex]=\frac{0.8x}{5} \\= 0.16x[/tex]

c)

(i) the equation :

648 = 90 × (0.16x)

⇔ 648 = 14.4x

(ii) solving :

648 = 14.4x

⇔ x = 648 ÷ 14.4

      = 45

Answer:

7.065 in^2

Step-by-step explanation:

Answer:

7.06858...in²

if we are using 3.14

7.065in²

Step-by-step explanation:

3 / 2 = 1.5

A = πr²

A = π(1.5²)

A = π(2.25)

A = 7.068in²

(if we are using 3.14 for pi)

A = πr²

A = 3.14(1.5²)

A = 3.14(2.25)

A = 7.065in²

Explanation:

The mode is the most frequent number. It is the number that shows up the most.

Sorting the values gets us {1, 3, 3, 4, 5, 6, 8, 9, 10} in which we can see that "3" shows up twice, which is the most compared to any other value. Therefore the mode is 3.

Answer:

1133.3 liters of water after leakage.

Step-by-step explanation:

x*.30=340

x=340/.30

x=1133.33

Answer:

shippng charge = 60 dollars

Step-by-step explanation:

5%   is .05 in decimal form

.05 x 1200 = 60 dollars

The length of fence she will need to divide the garden is 9.22 m.

A Rectangle is a quadrilateral having four sides and four right angles in which both sides are parallel and opposite to each other.

The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.

Let us consider the length of the fence be 'x'  

Using Pythagoras Theorem,

x² = 6² + 7²

[tex]x^{2} =36+49\\x^{2} = 85[/tex]

x = 9.22 m

So, the length of fence is 9.22 m.

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Answer:

9.22

Step-by-step explanation:

edge

Answer:

csc x = [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

using the identity

csc x = [tex]\frac{1}{sinx}[/tex]

then

csc x = [tex]\frac{1}{\frac{2}{5} }[/tex] = [tex]\frac{5}{2}[/tex]

Answer:

x = 3

Step-by-step explanation:

3^3 = 4(3) + 15 = 27

Answer:

[tex] \frac{b}{4} + 2 = - 1[/tex]

[tex] \frac{b}{4} = - 1 - 2[/tex]

[tex] \frac{b}{4 } = - 3[/tex]

[tex]b = - 3 \times 4[/tex]

[tex]b = - 12[/tex]

hope this helps you!!

The answer is -12

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here:  The equation b/4 +2 = -1

                                                   b=-12

Hence, The answer is -12

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The graphs that display the same data are a.  I and II

This refers to the different ways in which a set of data are displayed in a certain place such as a bar graph, frequency table, line graph, etc.

Hence, we can see that from the evaluation of the data, there is the use of the same data in I and II as the bar and line graphs contain the same country voter turnout.

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Answer:

a

Step-by-step explanation:

The gcf is 6

so: 42+12= 6(7+2)

Answer:

see explanation

Step-by-step explanation:

the factors of 42 are 1, 2, 3, 6, 7, 14 ,  21, 42

the factors of 12 are 1, 2, 3, 4, 6, 12

common factors are 1, 2, 3, 6

GCF = 12

then

42 + 12 ← factor out 6 from each term

= 6(7 + 2)

Answer:

n=10

Step-by-step explanation:

6=3n/5

multiply both sides by 5

30=3n

divide both sides 3

10=n

Answer:

The value of x is 10.

3x+15=5x-5

3x=5x-5-15

3x=5x-20

3x-5x=(-20)

(-2x)=(-20)

x=10

Answer:

50

Step-by-step explanation:

to find the mean you have to add all the number up together. then divide that number by how many numbers it is in all:

48+50+5+60+37+50=300

divide 300 by 6= 50

Answer: it is the first choice which is 50 .

Step-by-step explanation: to find the mean it means you have to find the average total so you will have to add them together and divide by 6 as they are 6 numbers . When you add them the answer is 300 , divide by 6 the answer is 50 .

SEE THE PICTURE ATTACHED

HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .

Answer:

3/8

Step-by-step explanation:

(3/4)/2=3/8

Answer: A, B

Step-by-step explanation:

A and B are unique to parallel lines, C and D are not.

The probability of getting first marble is red and the second

marble is blue is 4/15.

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes.

Given that:

Number of red marbles= 8

Number of blue marbles= 7

Total Number of marbles= 8+7 = 15 marbles.

P(red Marble) =[tex]\frac{8}{15}[/tex]

No replacement, now the total marbles = 14

P( blue marbles) = 7/14

Now, P( first marble is red and the second marble is blue.)

= 8/15*7/14

= 4/15

Hence, the probability of getting first marble is red and the second

marble is blue is 4/15.

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Answer:

36 x⁸y⁶

 √2/2

Step-by-step explanation:

Factor 1296 into its prime factors

           1296 = 24 • 34 

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

           1296 = 24 • 34 

No factors remain inside the root !!

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

           36 = 22 • 32 

At the end of this step the partly simplified SQRT looks like this:

         36 √(x¹⁶y¹²)

STEP2:Simplify the Variable part of the SQRT

Rules for simplifing variables which may be raised to a power:

   (1) variables with no exponent stay inside the radical

(2) variables raised to power 1 or (-1) stay inside the radical

   (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

      √(x⁸)=x⁴

     √(x^-6)=x^-3

 Applying these rules to our case we find out that

      SQRT(x¹⁶y¹²) = x⁸y⁶

Combine both simplifications

      sqrt (1296x¹⁶y¹²) =  36 x⁸y⁶

Simplified Root : 36 x⁸y⁶ 

number 2)

3√2/3√4=

=3√2/3×2

=3√2/6

=3√2/6 ×3/3

=1√2/2

=√2/2

Answer:

x = -a or x = -b

Step-by-step explanation :

Answer:

[tex]\sf Rs. \ 431\dfrac{73}{85} \quad or \quad Rs. \ 431.86[/tex]

Find the unit rate:

[tex]\rightarrow \sf 3\dfrac{7}{9} m = Rs. \ 212\dfrac{4}{5}[/tex]

[tex]\rightarrow \sf 1 m = Rs. \ \dfrac{212\dfrac{4}{5}}{3\dfrac{7}{9} }[/tex]

[tex]\rightarrow \sf 1 m = Rs. \ \dfrac{4788}{85} \quad or \quad Rs. \ 56\dfrac{28}{85}[/tex]

Then find the cost of 7 2/3m cloth:

[tex]\rightarrow \sf 7\dfrac{2}{3} \ m = Rs. \ \dfrac{4788}{85} \ * \ 7\dfrac{2}{3}[/tex]

[tex]\rightarrow \sf 7\dfrac{2}{3} \ m = Rs. \ \dfrac{36708}{85}[/tex]

[tex]\rightarrow \sf 7 \dfrac{2}{3} \ m = Rs. \ 431\dfrac{73}{85} \quad or \quad Rs. \ 431.86[/tex]

Answer:

  see attached

Step-by-step explanation:

We prefer to solve these by rewriting the equations to the form f(x) = 0, then having a graphing calculator show us the x-intercepts of f(x). This is illustrated in the second attachment.

__

The applicable rules of logarithms are ...

We can apply these rules to the given expressions to solve for x algebraically.

__

Taking antilogs, we have ...

  (x -1)(5x) = 10^2 = 100

  x(x -1) = 20 . . . . . . . . . . . divide by 5

  x² -x -20 = 0 . . . . subtract 20, put in standard form

  (x -5)(x +4) = 0 . . . . factor

  x = 5  or  x = -4 . . . . . . the latter is an extraneous solution

  x = 5 only

__

Taking antilogs, we have ...

  x +5 = (x +1)(x -1)

  x² -x -6 = 0 . . . . . . . subtract (x+5), write in standard form

  (x -3)(x +2) = 0 . . . . factor

  x = 3  or  x = -2 . . . . . . the latter is an extraneous solution

  x = 3 only

__

Taking natural logarithms, we have ...

  x² = 4x +5

  x² -4x -5 = 0 . . . . . write in standard form

  (x -5)(x +1) = 0 . . . . factor

  x = 5  or  x = -1 . . . . values that make the factors zero

__

Taking antilogs, we have ...

  5x² +2 = x +8

  5x² -x -6 = 0 . . . . . write in standard form

  (5x -6)(x +1) = 0 . . . . factor

  x = 6/5  or  x = -1 . . . . values that make the factors zero

_____

Additional comment

A solution is extraneous when it does not satisfy the original equation. Here, solutions are extraneous because they make the argument of the log function be negative in the original equation. The log function is not defined for negative arguments. (Actually, it gives complex values for negative arguments.)

We could have gone to the trouble to determine the applicable domain of each of the log equations. It is easier to (a) use a graphing calculator, or (b) test the solutions found.

Answer:

A={x:x is a multiple of five }

Answer:

18

Step-by-step explanation:

science 19 does not fit into 12, you would do 123/19 and the closes would be 19*6 which would get you 114 then you do 123-114 which is 9 then you bring down the 4 then it would be come 94 then you do 19*4 which would be 76 then you subtract 94 by 76 which would get you 18 and with nothing left you bring down, the remainder would be 18

Answer:

The answer is A.

Step-by-step explanation:

A polyhedron is a three-dimensional solid made up of polygons. It has flat faces, straight edges, and vertices. For example, a cube, prism, or pyramid are polyhedrons.