Please help!!! you are painting the roof of a shed that is 35 ft from the ground. you are going to place the base of a
ladder 12 ft from the shed. how long does the ladder need to be to reach the roof of the shed? use pencil and
paper. explain how shortening the distance between the ladder and the shed affects the height of the ladder. the ladder needs to be ____ ft long to reach the roof of the shed.

2.23% is the probability of a city with a population of 200,000, and there will be exactly 2 accidental drownings per year.

The Poisson distribution, is useful for modeling the number of events (in this case, accidental drownings) in a fixed interval (here, a year). Given the average rate of 3.0 drownings per 100,000 people per year, we first need to find the expected number of drownings in a city with a population of 200,000.

Expected drownings per year = (3.0 drownings / 100,000 people) * 200,000 people = 6 drownings

Now, we can use the Poisson probability formula to calculate the probability of exactly 2 accidental drownings per year in this city:

P(X = k) = (λ^k * e^(-λ)) / k!

Here, X represents the number of drownings, k is the desired number of drownings (2 in this case), λ (lambda) is the expected number of drownings per year (6), e is the base of the natural logarithm (approximately 2.718), and k! is the factorial of k.

P(X = 2) = (6^2 * e^(-6)) / 2! = (36 * e^(-6)) / 2 = (36 * 0.002478) / 2 = 0.04461 / 2 = 0.022305

Therefore, the probability that in a city with a population of 200,000, there will be exactly 2 accidental drownings per year is approximately 0.0223 or 2.23%.

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Answer:

Simplify the expression.

Exact Form:

8

3

Decimal Form:

2.

¯

6

Mixed Number Form:

2

2

3

Step-by-step explanation:

Type number of the system is 2.

The type number of the given system can be determined by calculating the number of poles at the origin and the number of poles in the right-hand side of the s-plane.

If there are “m” poles at the origin and “n” poles in the right-hand side of the s-plane, then the type number of the system is given as:

                       n-mIn this case, the transfer function of the given system is G(s) = (s+2) / s^2(s+ 8)

We can see that the order of the denominator polynomial of the given transfer function is 3.

Hence, the order of the system is 3.Since there are two poles at the origin, the value of “m” is 2.

Since there are no poles in the right-hand side of the s-plane, the value of “n” is 0.

Therefore, the type number of the system is:

                     Type number = n - m= 0 - 2= -2

However, the type number of a system can never be negative.

Hence, we take the absolute value of the result:

          Type number = | -2 | = 2

Hence, the type number of the given system is 2.

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Answeni ideAA{

}

Step-by-step explanation:

so the answer is 16+4i ^2

Look at the attached picture

Hope it will help you

Good luck on your assignment

For the given question;

The total number of school students = 4000.

Percentage student of boys; 40%.

Thus the percentage of girls; 100 - 40 = 60

Thus, the total percentage of girls are 60%.

For finding the number of girls find the 60% of the total school students.

= 60% of 4000

= 60% × 4000

= (60×4000)/100

= 60×40

= 2400

Thus, the number of school girls are 2400.

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In testing for differences between the means of two independent populations, the correct null hypothesis option is option (b) h0:μ1-μ2=0

When testing for differences between the means of two independent populations, the null hypothesis is usually stated as:

h0: μ1 - μ2 = 0

This means that there is no significant difference between the means of the two populations. The alternative hypothesis (ha) is usually stated as:

ha: μ1 - μ2 ≠ 0

This means that there is a significant difference between the means of the two populations.

To test this hypothesis, we can use a t-test or a z-test depending on whether we know the population standard deviation or not. We calculate the test statistic and compare it to the critical value from the t-distribution or z-distribution with n1 + n2 - 2 degrees of freedom and a significance level α.

If the test statistic is greater than or less than the critical value, we reject the null hypothesis and conclude that there is a significant difference between the means of the two populations.

In summary, the null hypothesis when testing for differences between the means of two independent populations is that there is no significant difference between them.

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Answer:

1/4

Step-by-step explanation:

We know two points on the line so we can use the slope formula

(0,6) and (8,8)

m = ( y2-y1)/(x2-x1)

   = (8-6)/(8-0)

   = 2/8

   = 1/4

Answer:

1/4

Step-by-step explanation:

slope=rise/run=1/4

Approximately 47.72% of the students scored between 167 and 253 on the exam. To find the percentage of students who scored between 167 and 253 on the exam, we can use the properties of the normal distribution.

Given that the scores are normally distributed with a mean of 253 and a standard deviation of 43, we can calculate the z-scores for the two given scores and then use the z-table to find the corresponding probabilities. First, let's calculate the z-score for the lower score of 167:

z1 = (167 - 253) / 43

z1 ≈ -2

Next, let's calculate the z-score for the upper score of 253:

z2 = (253 - 253) / 43

z2 = 0

Using the z-table, we can find the area under the normal curve between z1 and z2, which represents the percentage of students who scored between 167 and 253 on the exam.

Since the z-score of z1 is -2, we look up the area to the left of -2 in the z-table, which is approximately 0.0228. This represents the percentage of students who scored below 167.

Since the z-score of z2 is 0, we look up the area to the left of 0 in the z-table, which is 0.5000. This represents the percentage of students who scored below 253.

To find the percentage of students who scored between 167 and 253, we subtract the percentage below 167 from the percentage below 253:

Percentage = 0.5000 - 0.0228 ≈ 0.4772

Therefore, approximately 47.72% of the students scored between 167 and 253 on the exam.

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Answer:

2 is the answer

Step-by-step explanation:

Answer:

Option 3.

Step-by-step explanation:

x is always first in mapping coordinates, and since both the starting x and y are positive, they would turn negative in a 180 degree rotation. so its option 3.

Hope this helps!!

Answer:

89.70 dollars

Step-by-step explanation:

If Juwad picked 30 bags of apples and only sold 26 of them for 3.45 each, then you would have to multiply the number of bags sold by the price, and you would get your answer. So in this case:

1. (#sold)* (price)= total amount of money made

2. 26*3.45= 89.70

3. And you can check by dividing 89.70(your answer) by the price of the apples

4. 89.70/3.45= 26

The values of m for which y=e^mx is a solution of the differential equation y"-5y'+6y=0 are m=-2 and m=-3 (option b).

To find the values of m, we first need to compute the first and second derivatives of y with respect to x:

1. First derivative: y'=me^mx
2. Second derivative: y"=m^2e^mx

Now, we substitute these derivatives into the given equation: m^2e^mx - 5(me^mx) + 6e^mx = 0. Factoring out e^mx, we get: e^mx(m^2 - 5m + 6) = 0. Since e^mx is never zero, the quadratic equation must equal zero: m^2 - 5m + 6 = 0. Factoring this quadratic equation gives (m-2)(m-3)=0, so m=-2 and m=-3 are the solutions.

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By using exponents, we can write the expressions  (6⁵)¹⁰ as  6⁵⁰.

The exponent of a number says how many times to use the number in a multiplication.

Also, exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

If  an expression is given as (6⁵)¹⁰ , using exponents, we can write the  expressions in the form of \(6^k\) as shown below;

The expression "k" is an integer {0, 1, 2, 3, etc}

By applying rule of exponent for the multiplication of powers, (6⁵)¹⁰ is simplified as;

(6⁵)¹⁰ = 6⁵⁰

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Answer:

The given figure is:

a. Polyhedron

c. prism

d. solid

Step-by-step explanation:

First of all, let us consider the given image.

It is a 3 dimensional figure.

It has 2 equal bases which are pentagonal.

Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces.

The faces can be of 'n' number of edges (Polygonal faces).

Its edges are straight, has sharp corners which are also known as vertices.

The given image is a polyhedron as per above definition.

b. Pyramid:

It is also a 3D shape which can have a polygonal base and its faces are triangular which converge on the top to one point.

The given image does not converge to a point on the top, so not a pyramid.

c. Prism:

It is a 3D shape which has it two bases as polygonal structure.

The two bases are equal in shape and size.

There are faces on the body of prism which are formed by joining the edges of the bases.

The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height.

So, the given image is a Solid.

e. Cube:

Cube is a 3D figure, which has all its faces in square shape.

All the sides are equal for a cube.

The given image is not a cube.

f. Polygon:

A polygon is a closed figure in 2 dimensions which has n number of sides.

The given image is not a polygon.

Answer: The given figure is:

a. Polyhedron

c. prism

d. solid

The given figure is a Polyhedron, prism and solid.

A polyhedron is a three-dimensional geometry having plane surfaces connected together with sharp edges and pointed vertices.

First of all, let us consider the given image. It is a 3-dimensional figure. It has 2 equal bases which are pentagonal. Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in the following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces. The faces can be of 'n' number of edges (Polygonal faces). Its edges are straight, has sharp corners which are also known as vertices. The given image is a polyhedron as per the above definition.

c. Prism:

It is a 3D shape which has it two bases as a polygonal structure.The two bases are equal in shape and size. There are faces on the body of prism which are formed by joining the edges of the bases. The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height. So, the given image is a Solid.

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Answer:

11x+11

Step-by-step explanation:

(4x+8)+(7x+3)=4x+7x+8+3=11x+11=11(x+1)

Answer:

11x + 11

Step-by-step explanation:

(4x + 8) + (7x + 3)

add 4x and 7x

then add 8 and 3

Answer:

you are a student durdur

To find the value of the trigonometric expression sin 100° cos 170° + cos 100° sin 170°, we can use the trigonometric identities.Therefore, the value of the trigonometric expression sin 100° cos 170°+cos 100° sin 170° is -1.

Now, let's use the trigonometric identity sin(A + B) = sin A cos B + cos A sin B to simplify the expression. In this case,

A = 100° and B = 170°:

sin 100° cos 170° + cos 100° sin 170°

= sin(100° + 170°)

Since sin(100° + 170°)

is not a standard angle, we need to use the addition formula for sine.

The formula states that sin(A + B) = sin A cos B + cos A sin B.

sin(100° + 170°) = sin(270°)

Now, we know that sin(270°) = -1.

herefore, the value of the given trigonometric expression is -1.

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We are given a number in duodecimal (base 12) system, x = (80a2)12. We need to calculate 10x in octal (base 8) system. The octal representation of 10x will be determined by converting the duodecimal number to decimal, multiplying it by 10, and then converting the decimal result to octal.

To convert the duodecimal number x = (80a2)12 to decimal, we can use the positional value system. Each digit in the duodecimal number represents a power of 12. In this case, we have:

x = 8 * 12^3 + 0 * 12^2 + a * 12^1 + 2 * 12^0

Simplifying, we get:

x = 8 * 1728 + a * 12 + 2

Next, we multiply the decimal representation of x by 10 to obtain 10x:

10x = 10 * (8 * 1728 + a * 12 + 2)

Now, we calculate the decimal value of 10x and convert it to octal. To convert from decimal to octal, we divide the decimal number successively by 8 and keep track of the remainders. The sequence of remainders will be the octal representation of the number.

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An nth-degree polynomial function with real coefficients satisfying the given conditions and n = 4, 2i and 3i are zeros and f(-1) = 150 can be found as follows:First of all, the complex conjugate of 2i is -2i and that of 3i is -3i. Since all coefficients of the polynomial are real, so their product must also be a factor of the polynomial.

The factor of the polynomial whose zeroes are 2i and -2i is(x - 2i) (x + 2i) = (x^2 + 4).Similarly, the factor of the polynomial whose zeroes are 3i and -3i is(x - 3i) (x + 3i) = (x^2 + 9).Therefore, the nth-degree polynomial function with real coefficients satisfying the given conditions is:f(x) = a (x^2 + 4) (x^2 + 9)Where a is the constant of proportionality.To find the value of a, substitute the value of x as -1 in the equation given in the problem and equate it to 150.

f(-1) = a ((-1)^2 + 4) ((-1)^2 + 9)150 = a (5) (10)a = 150/50a = 3

Hence, the required nth-degree polynomial function with real coefficients satisfying the given conditions is:f(x) = 3 (x^2 + 4) (x^2 + 9) and it has been obtained above.

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In "client-server" architecture, client is responsible for presentation-logic; "server" is responsible for data-access logic; and location of data-storage varies.

In a client-server architecture, we think of the client as a person using a computer to access a website or an app. The client is responsible for how things are presented to the user. It takes care of things like displaying information, handling user input, and making the interface look good and easy to use.

The server is like a powerful computer that stores and manages the data needed for the client. It's responsible for things like storing and retrieving information from a database. The server also handles tasks like processing requests from the client and sending back the requested data.

The location of the data storage can vary. Sometimes the data is stored directly on the server itself, while in other cases, it may be stored in a separate database or file system.

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When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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Answer:

See the attached table.

Step-by-step explanation:

Each row, column, and diagonal all add up to six.

\(\left[\begin{array}{cccc}9&-5&-4&6\\-2&4&3&1\\2&0&-1&-5\\-3&7&8&-6\end{array}\right]\)

Hope that helps!

Answer:

*

Step-by-step explanation:

9  -5  -4   6

-2   4   3    1

2   0  -1   5

-3    7   8  -6

Answer:

\(SA = 2.94 \, \textrm{units}^2\)

Step-by-step explanation:

The surface area of a regular 3D figure can be represented as:

\(SA = A_{\textrm{\,1 side}} \cdot (\# \textrm{ of sides})\).

Therefore, the surface area of a cube is:

\(SA = s^2 \cdot 6\)

where \(s\) is the length of a side.

To solve this problem, simply input the given side length into the above formula:

\(SA = 0.7^2 \cdot 6\)

and simplify.

\(SA = 0.49 \cdot 6\)

\(SA = 2.94 \, \textrm{units}^2\)

the answer is 3 = 3 (x-1) > 12

The given function is

First, we make x = 0.

Second, we make g(x) = 0.

Third, we graph the points (0, 4) and (-16, 0).

At last, we draw the line through the points to get the line.

Answer:

B.) the number of tents the army orders

Step-by-step explanation:

The word problem does not speak of any prices or tent sizes so it cant be A or C

Answer:

its B

Step-by-step explanation:

Answer:

Step-by-step explanation:

A=3.14 x 22m x 22m

A=69.08m x 22m

A=1519.76m2 (squared po yan)