Write the equation of a line that is perpendicular to y = 7/5x + 6 and that passes through the point (2,-6).

The probability that none of the 14 randomly selected houses in an urban area will be burglarized can be calculated based on the given information.

The probability of a house being burglarized in an urban area is given as 4%, which can be written as 0.04. Since the houses are randomly selected, we can assume independence among them.

The probability that a single house is not burglarized is 1 - 0.04 = 0.96.

To calculate the probability that none of the 14 houses will be burglarized, we multiply the individual probabilities of not being burglarized for each house. Since the houses are assumed to be independent, we can use the multiplication rule for independent events.

P(None of the houses are burglarized) = \((0.96)^{14}\)

By substituting the given values into the formula and performing the calculation, we can determine the probability that none of the houses will be burglarized.

Therefore, the probability that none of the 14 randomly selected houses will be burglarized in an urban area can be calculated as the product of the individual probabilities of not being burglarized for each house.

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area: 36 units²

\(\hookrightarrow \sf 9 \ * \ 4\)

\(\hookrightarrow \sf 36 \ units^2\)

Area:-

Fractions can be defined as the representation of a part of a whole. A fractions consists of the numerator and the denominator.

let f(x) = \(\frac{p}{q}\)

then 'p' represents the numerator; while 'q' represents the denominator;

where p and q belong to integers for simple fractions, while when p and q belong to other sets they can from complex fractions.

To convert a fraction into an integer we need to multiply the fraction with the the denominator so that it cancels out leaving only the numerator behind.

For fractions present in equations to get rid of all the fractions we new to multiply the equation by the LCM of the denominator of all the fractions.

Where LCM is the least common multiple.

To give an example:

let y = \(\frac{3}{4}\)X + \(\frac{9}{5}\)

Then the LCM for 4 and 5 will be 20;

as factor of 4 are 1,2 and that of 5 are 1,5

then to eliminate the fractions from the equation

Multiplying both sides by 20

y x 20= \(\frac{3}{4}\)X x 20 + \(\frac{9}{5}\) x 20

20y= 3 x 5X + 9 x 4

20y = 15X + 36

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Given:

A four member bowling team decided they wanted new outfits. Shirts cost $15 each, pants cost $26 each and shoes cost $40 each.

Required:

We need to find the total cost.

Explanation:

First we find total cost for 1 member

$81 for each member but here we have 4 members so we need to multiply with 4 to the each person's cost

Final answer:

Cost for 1 member is $81

cost for all member is $324

Answer: $324

Explanation: Alright, let's pretend that you are the cost manager or fiduciary (a person who holds assets in trust for someone else. That person has a fiduciary duty to take care of the money.)
First thing is, we need to find the cost for a single member of the team. Now ofcourse each person needs atleast one shirt, pants and one pair of shoes. How much would a shirt, pant and a pair of shoes cost ? Calculate:
one shirt  - - -  $15
one pant  - - - $26
1pair shoe - - +$40
Total bills:       $81

Each member needs atleast $81. There are four members in total. Thus if one member needs 81 dollars then 4 members would need $81 + $81 + $81 + $81 = $324  OR   for shortcut method: $81 * 4 = $324

Done! That's all. Hope it helped

Answer:

900

Step-by-step explanation:

multiply 2x2x3x3x5x5

4x9x25 which is 900

Answer:

too much work

Step-by-step explanation:

i don't feel like doing it but it is easy

Answer:

If 2 angles are congruent, then they are vertical angles

Step-by-step explanation:

A person tosses a coin 15 times. In how many ways can he get 3 heads? The answer is 455 ways.

To find the answer, we can use the formula for combinations, which is:
C(n, k) = n! / (k! * (n-k)!)
Where n is the total number of tosses, and k is the number of heads we want to get.
In this case, n = 15 and k = 3, so we can plug these values into the formula:
C(15, 3) = 15! / (3! * (15-3)!)
C(15, 3) = 15! / (3! * 12!)
C(15, 3) = (15 * 14 * 13 * 12!)/ (3! * 12!)
C(15, 3) = 455
So there are 455 ways to get 3 heads when tossing a coin 15 times.

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The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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Answer:

(x + 3)(x - 1)

Step-by-step explanation:

Given

x² + 2x - 3

Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)

The factors are + 3 and - 1 , since

3 × - 1 = - 3 and 3 - 1 = + 2 , then

x² + 2x - 3 = (x + 3)(x - 1) ← in factored form

What is the factor of x² + 2x - 3

\( \rightarrow \) x² + 3x - x - 3 = 0

\( \rightarrow \) x(x + 3) -1(x + 3) = 0

\( \rightarrow \) (x + 3) (x - 1) = 0

\( \therefore \) Either, x + 3 = 0 => x = -3 and x - 1 = 0 => x = 1

So, x = -3 and 1

Answer:

c

Step-by-step explanation:

im smart

The graph that shows a polynomial function with an even degree is option D.

A function is a law that relates two variables, a dependent and an independent variable with each other.

The domain and range of a function is always defined, the domain is all the values that can be an input to the function and the range is all the valuess that a function can have.

A function that involves positive integer powers as exponents of a variable in an equation is called a polynomial function, like the quadratic equation,

An even degree polynomial function, represented by y = x², have graphs that either open upwards or downwards.

A function is even if, for each x in the domain of f, f (- x) = f (x).

In an even function, the graph is symetrically along y axis.

The only graph that is symmetrical along the y axis is graph D.

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Answer:

m<1=?

m<2=4x-20..........(1)

m<4=3x-11.............(2)

Step-by-step explanation:

we have

again.we have

<1+<2=180(co-interior angle)

<1=180-<2=180-(4×9-20)=180-16=164

There are 9,999 natural numbers that have no more than 4 digits.

To determine the number of natural numbers that have no more than 4 digits, we consider the range of numbers from 1 to 9,999.

The natural numbers with no more than 4 digits include all numbers from 1 to 9 (which form the single-digit numbers), all numbers from 10 to 99 (which form the two-digit numbers), all numbers from 100 to 999 (which form the three-digit numbers), and all numbers from 1,000 to 9,999 (which form the four-digit numbers).

To calculate the total count, we can add the number of single-digit numbers, two-digit numbers, three-digit numbers, and four-digit numbers:

Single-digit numbers: 9 (from 1 to 9)

Two-digit numbers: 90 (from 10 to 99)

Three-digit numbers: 900 (from 100 to 999)

Four-digit numbers: 9,000 (from 1,000 to 9,999)

Adding these counts together:

9 + 90 + 900 + 9,000 = 9,999

Therefore, there are 9,999 natural numbers that have no more than 4 digits.

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The angular momentum of the earth in its orbit around the sun is compared with the angular momentum of earth on its axis as below :

Earth's radius is 6.38 x 106 meters, its mass is 5.97 x 1024 kg, and its orbital radius is 1.5 x 1011 meters. The period of the earth's rotation is 24 hours, or 86400 seconds. The period of its revolution is one year, or 3.156 x 107.

Finding the angular momentum entails

L = mE x r2 x w L = 2.6742 x 1040kg.m2.s-1

I= 2/5M.R2 L8= 7.07 x 1023kg.m2.s-1 for a homogeneous sphere with mass M, radius R, and an axis through its center.

Earth's angular momentum in a circular orbit around the sun is measured at Li=2.6742 x 1040 kg.m2.s-1.

Given that the radius of the planet is so small in comparison to the distance from the sun, it makes sense to model the earth as a particle.

L8= 7.07 x 1023 kg.m2.s-1 is the size of the earth's angular momentum as a result of its revolution around an axis passing through the north and south poles.

Parameters and Calculations:

Earth's mass, mE, is 5.97 x 1024 kg, and its radius, R,

the earth's orbital parameters are as follows: RE= 6.38 x 106 m, r= 1.5 x 1011 m, t=24h = 86400 s, and t=1 year = 3.156 x 107

Finding the angular momentum entails

L=mexr2xw where

L = 2.6742 x 10-40 kg/m2/s-1

For a homogeneous sphere with mass M, radius R, and a central axis,

I= 2/5M.R^2

L8 = 7.07 x 1023 kg/m2/s-1

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Answer:

If the plot point was dilated by a scale factor, it would be multiplying the scale factor with each X and Y. Therefore it would be (-5,-5)

The image of (-1, -1) after the dilation by a scale factor of 5 centered at the origin is (-5, -5).

To find the image of (-1, -1) after a dilation by a scale factor of 5 centered at the origin, we can apply the formula for dilation in the coordinate plane.

The formula for dilation with a scale factor of k centered at the origin is (k * x, k * y), where (x, y) is the original point.

In this case, the original point is (-1, -1), and the scale factor is 5. Applying the dilation formula, we have:

Image = (5 * (-1), 5 * (-1))

= (-5, -5)

This means that the point (-1, -1) is dilated by a factor of 5, and its position is shifted five times farther from the origin in both the x and y directions.

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To determine the number of ways Samantha can arrange her mathematics books and computer science books on the shelf, we can use the concept of permutations.

1. First, we'll arrange the 3 mathematics books in the first 3 positions. Since Samantha has 7 mathematics books to choose from, she can arrange them in 7P3 ways:
7P3 = 7! / (7-3)! = 7! / 4! = 7 x 6 x 5 = 210 ways

2. Next, we'll arrange the 2 computer science books in the last 2 positions. Since Samantha has 5 computer science books to choose from, she can arrange them in 5P2 ways:
5P2 = 5! / (5-2)! = 5! / 3! = 5 x 4 = 20 ways

3. Now, we need to multiply the number of ways to arrange the mathematics books by the number of ways to arrange the computer science books since these are independent events:
Total ways = 210 (mathematics books) x 20 (computer science books) = 4200 ways

So, Samantha can arrange her 7 mathematics books and 5 computer science books in 4200 different ways, with the first 3 positions occupied by math books and the last 2 by computer science books.

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The equation \((sin(x)cos(x))^2 = sin(2x)\) is verified to be an identity.

Simplify LHS and RHS?

To verify whether the equation \((sin(x)cos(x))^2 = sin(2x)\) is an identity, we can simplify both sides of the equation and see if they are equivalent.

Starting with the left side of the equation:

\((sin(x)cos(x))^2 = (sin(x))^2(cos(x))^2\)

Now, we can use the trigonometric identity \(sin(2x) = 2sin(x)cos(x)\) to rewrite the right side of the equation:

\(sin(2x) = 2sin(x)cos(x)\)

Substituting this into the equation, we have:

\((sin(x))^2(cos(x))^2 = (2sin(x)cos(x))\)

Next, we can simplify the left side of the equation:

\((sin(x))^2(cos(x))^2 = (sin(x))^2(cos(x))^2\)

Since both sides of the equation are identical, we can conclude that the given equation is indeed an identity:

\((sin(x)cos(x))^2 = sin(2x)\)

Hence, the equation \((sin(x)cos(x))^2 = sin(2x)\) is verified to be an identity.

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Answer:

I cant see the problem sorry

Answer:

Honestly love how she's talking to another guy so she dated a guy then cheated on him now shes talking to another guy cheating on him with another guy don't waste your time on her she is a cheater

The integral is  9/4 ln|x| - 1/2 ln|x-2| - 7/4 ln|x+2| + C

How to find integral?

First factor the denominator:

x^3 - 4x = x(x^2 - 4) = x(x-2)(x+2)

Now write the integrand as a sum of two fractions:

(x^2 + 36x - 36) / (x^3 - 4x) = A/x + B/(x-2) + C/(x+2)

To find A, we multiply both sides of the equation by x and then take the limit as x approaches 0:

(x^2 + 36x - 36) / (x^2 - 4x) = A + B/(x-2) + C/(x+2)

(x^2 + 36x - 36) = A(x^2 - 4x) + B(x+2) + C(x-2)

-36 = -4A + 2B - 2C

To find B and C, we multiply both sides of the original equation by (x-2) and (x+2), respectively, and then substitute x=2 and x=-2:

(x^2 + 36x - 36) = A(x(x-2)(x+2)) + B(x-2)(x+2) + C(x(x-2)(x+2))

(x^2 + 36x - 36) = A(x^3 - 4x) + B(x^2 - 4) + C(x^3 - 4x)

Let x = 2: 52 = 8A + 4B + 2C

Let x = -2: -100 = -8A + 4B - 2C

Solving the system of equations gives:

A = 9/4, B = -1/2, C = -7/4

Therefore, the integral becomes:

∫ (x^2 + 36x - 36) / (x^3 - 4x) dx = ∫ (9/4)/x dx + ∫ (-1/2)/(x-2) dx + ∫ (-7/4)/(x+2) dx

= 9/4 ln|x| - 1/2 ln|x-2| - 7/4 ln|x+2| + C

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Step-by-step explanation:

Answer:

1:     =\(\frac{-1}{6}\)    

2:    =\(\frac{3}{7}\)

Step-by-step explanation:

This is the answers I hope are great

The complete table is

Customers     Minutes

       1                    0.25

       16                 4

       20                5

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Customers     Minutes

       1                    x

       16                 4

       20                y

Now, using proportion

1/x= 16/4

16x= 4

x= 1/4

and,

16/4 = 20/y

16y = 80

y = 80/16

y = 5

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The total area under a probability density function is always equal to 1.

This means that the probability of any possible outcome occurring in the given probability distribution is 1, or 100%. The area under the probability density function represents the likelihood of a random variable falling within a particular range of values, and the total area represents the probability of all possible outcomes.

The probability density function can be used to calculate the probability of a random variable taking on a specific value, as well as the probability of a random variable falling within a certain range of values. The area under the probability density function can be calculated using integration techniques.

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Answer:

x=7 is the line parallel to the given line x=8 . Parallel lines are the lines which are always same distance apart and never intersect. The given line is x=8 with intersects the x axis at x=8 and it is parallel to y axis with slope infinite or not defined.

Step-by-step explanation:

Answer:

The answer is that 8-5 can not be simplified as well as 8-3

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 3^2 is =

subtract what u get from up here

boooooom

Answer:

Step-by-step explanation:

9.3 times 7 equals 65.1

65.1 time the 5 sides equals 325.5

325.5 plus the 84 for the base equals 409.5 ft^2

Answer:

65/12

Step-by-step explanation:

Answer:

All options

Step-by-step explanation:

In each option, the left and right side of the equation are identical, meaning whatever values that \(x\) take will result in the left and right side of the equation to be equal. This means that the equation will have infinitely many solutions.

Hope this helps :)