Answer Please!Find the area of each sector. 5) 10 mi 270° A) 31 mi 1217 B) mi? 2 D) 157 mi? C) 757 mi?

Hi!

\( \frac{3}{4} \div \frac{1}{2} = \frac{3}{4} \times 2 = \frac{3}{2} = 1 \frac{1}{2} \)

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

\(\cfrac{8}{13}\cdot \cfrac{7}{55}\cdot \cfrac{11}{2}\implies \cfrac{8\cdot 7\cdot 11}{13\cdot 55\cdot 2}\implies \cfrac{616}{1430}\implies \cfrac{(22)(28)}{(22)(65)}\implies \cfrac{28}{65}\)

Answer:

28/65

Step-by-step explanation:

8/13×7/55×11/2

8/13×7/55=56/715

56/715×11/2=56/130=28/65

Answer:

7((x-2)(3x+4))

Step-by-step explanation:

Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product.  You get 7((x-2)(3x+4))

Step-by-step explanation:

Roughly 8%

The exact answer is 7.6923076923

\( \Large{\boxed{\sf | \sf z| = \sf \sqrt{40} = 2\sqrt{10} }} \)

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We are given a complex number in algebraic form, and we would like to find its modulus, |z|.

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Let's recall that a complex number in algebraic form is written as \( \sf z = a + ib \) , where a is its real part and b is its imaginary part.

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The modulus of said complex number is calculated as follows:

\( \sf | \sf z| = \sqrt{a^2 + b^2} \)

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\( \hrulefill \)

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Let's identify our values:

\( \sf z = -2 - 6i \Longleftrightarrow z = \underbrace{\sf -2}_{\sf a} + (\underbrace{\sf -6}_{\sf b})i \)

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Now, substitute these values into our formula:

\( \sf | \sf z | = \sqrt{(-2)^2 + (-6)^2} = \sqrt{4 + 36} = \boxed{\sf \sqrt{40}} \)

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While this may be optional, the result can be simplified by using the following property:

\(\green{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \star \: \sf{\boxed{ \sf Product \: rule \: of \: square \: roots\text{:}}}} \\ \\ \sf{ \diamond \: \sqrt{ab} = \sqrt{a} \times \sqrt{b} } \\ \end{array}}\\\end{gathered} \end{gathered}}\)

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\( \sf \sqrt{40} = \sqrt{4 \cdot 10} = \sqrt{4} \cdot \sqrt{10} = \boxed{\boxed{\sf 2\sqrt{10}}} \)

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\( \hrulefill \)

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The probability that a randomly selected part is defective is given as follows:

6.6%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

For this problem, the outcomes are given as follows:

Hence the probability that a randomly selected part is defective is given as follows:

p = 1287/19500 = 0.066 = 6.6%.

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Answer:

Step-by-step explanation:

Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.

Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.

Here,

Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:

$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean

$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean

Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).

Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:

=1 - 1/2²

= 1 - 1/4

= 0.75

This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.

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Answer:

x=1 or x=5

Step-by-step explanation:

x2−6x+5=0

Step 1: Factor left side of equation.

(x−1)(x−5)=0

Step 2: Set factors equal to 0.

x=1 or x=5

Answer:

This all I can do

Step-by-step explanation:

m∠F. 20 In the diagram below, LATE is an isosceles ... 32 In the diagram of JEA below, m∠JEA = 90 and m∠EAJ = 48. ... cylinder that has a height of 15 cm and a diameter of 12 cm? ... If m∠HAM = 12, what is m∠AMT ? 1) 12. 2) 78. 3) 84.

Answer:

They won 27 games

Step-by-step explanation:

10% of 30 is 3,

so 30-3= 27

An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the multiplication law of exponents for powers to each of the expressions, we have the following:

4 × n × n × n × n = 4n⁴

4 × n⁴ = 4n⁴

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Answer:

There are no pictures being shown

The probability of randomly selecting 5 CDs that are in alphabetical order from a set of 13 CDs is 0.0008

The total number of ways to arrange 5 CDs from 13 is given by the combination formula:

C(13, 5) = 13! / (5! * 8!) = 1287

To have the CDs in alphabetical order, we only need to choose any 5 from the first 5 CDs in the alphabet (since any other choice will not result in alphabetical order). The number of ways to choose 5 from the first 5 CDs is:

C(5, 5) = 1

Therefore, the probability of randomly selecting 5 CDs that are in alphabetical order from a set of 13 CDs is:

1/1287 ≈ 0.0008

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Answer:

1. \(6^{8}\)

2. \(5^{10}\)

3. \(2^{9-5}\)

4. \(3^{6}\)

5. \(12^8\)

6. \((7^2)^2\)

Step-by-step explanation:

have a good day! :)

394 subscribers are represented in the venn diagram.

Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.

Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.

according to the venn diagram

196+41+21+52+84 = 394

There are 394 subscribers

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Answer:

116,280 ways

Step-by-step explanation:

Because your finish place is mutually exclusive (if you come in first you cant come in second, if you come in second you cant come in third, etc) you have to decrease the amount of runners for each place.

20 runners can get first

19 for second

18 for third

17 for fourth.

To find out the total amount of possibilities you multiply each amount. 20 x 19 x 18 x 17 = 116,280.

I hope this helps!

-TheBusinessMan

The amount of gun powder particles found around a bullet hole is directly related to the distance from which the weapon was fired.

Which two forces are acting on a bullet?

Two major forces are acting on the bullet ,the forward force of the gunshot and the downward force of gravity. The first force is called aerodynamics and the other force is called gravitational.

What does the distribution of gun powder residue around the bullet hole help to determine?

The residue exit the muzzle in a cone shaped and can land on the target objects. The size and density of the residue on the object can vary with distance allowing the fire man examiner to determine proximity of shooter to the target killing when gun is fired.

Therefore, the amount of gun powder particles found around a bullet is directly related to the distance when gun was fired.

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Answer:

40.5

I hope u get a good mark glll

Step-by-step explanation:

Therefore, the values of a and b are:

\(a = 2\)

\(b = 9\)

\(So, the functionf(x)=2x+9.\)

In programming and mathematics, a function is a set of instructions or a block of code that performs a specific task or calculation. A function takes in one or more input values, performs a series of operations on them, and then returns a single output value. Functions are used to modularize code, making it easier to read, understand, and maintain. They can be defined and called within a program to perform repetitive tasks, manipulate data, or solve complex problems. Functions can also be used to create reusable code that can be called from multiple parts of a program or shared between different programs.

To find the values of a and b, we need to use the given information to create a system of two equations.

Let's start by using the first two rows of the table:

\(f(0) = a(0) + b = 7\)

\(f(1) = a(1) + b = 9\)

Simplifying these equations, we get:

\(b = 7\\a + b = 9\)

Substituting b = 7 into the second equation, we get:

\(a + 7 = 9\)

Solving for a, we get:

\(a = 2\)

Now we can use this value of a to find b. Let's use the third and fourth rows of the table:

\(f(2) = a(2) + b = 11\\f(3) = a(3) + b = 13\)

Substituting a = 2 into these equations, we get:

\(2 + b = 11\\3 + b = 13\)

Solving for b, we get:

\(b = 9\)

Therefore, the values of a and b are:

\(a = 2\\b = 9\)

\(So, the functionf(x)=2x+9.\)

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Answer:

Step-by-step explanation:

Which expression has the same value as 9+24?

3(3+24)

9(1+24)

3(3+8)

3(9+8)

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

9 + 24 = 33

3(3+24) = 81

9(1+24) = 225

3(3+8) = 33

3(9+8) = 51

Answer:

3 rd answer is correct.

Step-by-step explanation:

First let us find the value of ( 9 + 24 ).

Let us solve

9 + 24 = 33

And now we have to find the expression which is equal to 33.

Let us see.

⇒ 3 ( 3 + 24)

   3 × 27

   81            ( NO)

⇒ 9 ( 1 + 24 )

   9 × 25

    225         ( NO )

⇒ 3 ( 3 + 8 )

   3 × 11

    33         (YES)

⇒ 3 ( 9 + 8 )

   3 × 17

   51                ( NO)

There fore, the 3rd expression ( 3 ( 3 + 8 ) ) is equal to the given expression ( 9 + 24 ).

Hope this helps you :-)

Let me know if you have any other questions :-)

The inequality to buy an apple can be given as 2x ≤ 16

The number of apples we can buy is 8

What is an inequality?

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to size-compare two numbers on a number line.

We are given that we have only$16 dollar to buy apples and each costs $2

Let the number of apples we can buy be x

Hence the inequality can be given as

2x ≤ 16

Now dividing both sides by 2 we get,

x ≤ 8

Hence we can buy at most 8 apples

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The average rate of change (slope) is 579.875 if, in 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

We have:

In 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.

The slope:

\(\rm m =\dfrac{16717-12078}{2017-2009}\)

m = 4639/8

m = 579.875

Thus, the average rate of change (slope) is 579.875 if, in 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.

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\( \huge\tt\boxed{\tt x \leqslant −20}\)

Step-by-step explanation:

\( \looparrowright \sf4x+24 \leqslant −56\)

\( \\ \\ \)

\( \looparrowright \sf4x \leqslant −56 - 24\)

\( \\ \\ \)

\( \looparrowright \sf4x \leqslant −80\)

\( \\ \\ \)

\( \looparrowright \sf x \leqslant −80 \div 4\)

\( \\ \\ \)

\( \looparrowright \sf x \leqslant −20\)

Answer:

do 27/3...............

Answer:

x + 0.05x

Step-by-step explanation:

Given

Earnings earned by the bookstore = x

percentage increase = 5%

Increment = 5% of x

Increment = 0.05x

book store's total  increase in profit = Original earning + increment

book store's total  increase in profit x + 0.05x

Hence the expression that represents the book store's total  increase in profit is x + 0.05x

I. The solution to the system of equations using Gaussian elimination is x = 1, y = -1, and z = 2.

II. For the LU-decomposition method, we need to have a square coefficient matrix, which is not the case in the given system. Therefore, we cannot directly apply the LU-decomposition method.

III. For this method to converge, the coefficient matrix must be diagonally dominant, which is not the case in the given system. Therefore, the Gauss-Jacobi method cannot be directly applied either.

IV. It requires the coefficient matrix to be diagonally dominant, which is not satisfied in the given system. Hence, the Gauss-Seidel method cannot be directly used.

I. Gaussian Elimination Method:

To solve the system of linear equations using Gaussian elimination, we perform row operations to reduce the system into upper triangular form. The augmented matrix for the given system is:

| 6 2 -1 | 4 |

| 1 5 1 | 3 |

| 2 1 4 |27 |

We can start by eliminating the coefficients below the first element in the first column. To do this, we multiply the first row by a suitable factor and subtract it from the second and third rows to eliminate the x coefficient below the first row. Then, we proceed to eliminate the x coefficient below the second row, and so on.

After performing the necessary row operations, we obtain the following reduced row-echelon form:

| 6 2 -1 | 4 |

| 0 4 2 | -1 |

| 0 0 3 | 6 |

From this form, we can easily back-substitute to find the values of x, y, and z. We have z = 2, y = -1, and x = 1.

II. LU-Decomposition Method:

LU-decomposition is a method that decomposes a square matrix into a product of two matrices, L and U, where L is lower triangular and U is upper triangular.

III. Gauss-Jacobi Method:

The Gauss-Jacobi method is an iterative numerical method to solve systems of linear equations.

IV. Gauss-Seidel Method:

Similar to the Gauss-Jacobi method, the Gauss-Seidel method is an iterative method for solving linear systems.

Therefore, out of the four methods mentioned, only the Gaussian elimination method can be used to solve the given system of linear equations.

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Answer:

y = 5^(x+1)

Step-by-step explanation:

y = 5^(x+1)

x = 1 for the initial step