A ladder leans against the side of a house. The top of the ladder is 2 m from the ground. The bottom of the ladder is 2 m from the side of the house. Find the length of the ladder. If necessary, round your answer to the nearest tenth.

Answer:

negative 4x have to be divided by 4 because we are solving for x. then we have x becaus- 4 is cancelled by-4. we are going to divide 22 for -4 so the answer is x< -11/2

Answer :

$456

Step-by-step explanation:

Donation by local business :\( \frac{15}{100} \times 380 \\ \\ \frac{15 \times 38}{10} = 57\)

= $57

Donation by the principal of the student's school :

\( \frac{5}{100} \times 380 \\ \\ = \frac{5 \times 38}{10} = 19\)

= $19

The total money received by the food pantry :

$380 + $57 + $19

= $456

0.15 (380) = 57

0.05 (380) = 19

Let p = Food Pantry money in total

p = 380 + 57 + 19

p = $456

Answer:

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

Find the hypotenuse c of the base using Pythagorean theorem:

Lateral surface area, three rectangular faces, is:

Find base area, the area of two right triangles:

Find total surface area:

Answer:

i have no idea what is the question would you please provide me exact questions

Answer:

what?

Step-by-step explanation:

doesnt understand

Answer:

You are to write an MPI program to implement the command described here. The program, when given

two command line arguments, the rst of which is a string called the key, and the second of which is the

path name of a text le, searches for all occurrences of the key in the text le. For each position in which

the key occurs, it prints that position as a character oset from the beginning of the le on the

standard output stream. The positions should be printed in ascending order. For example, if the

name of the program is find_matches, then the command

find_matches parallel algorithm ~/cs493.65/lecture_notes

should print every place in the le ~/cs493.65/lecture_notes at which the string parallel algorithm

begins and if that occurs at positions 3, 745, and 930, then the three numbers should appear in the order:

3 then 745 then 930.

If the key contains characters special to the shell, or blanks, it should be enclosed in single quotes or double

quotes, depending on which characters it contains. For example, to search for the key Lincoln is on a $5

bill in the le denominations you would type

find_matches 'Lincoln is on a $5 bill' denominations

or alternatively

find_matches Lincoln is on a \$5 bill denominations

whereas to search for the key Lincoln's on a $5 bill in denominations, you have to enter

find_matches Lincoln\'s on a \$5 bill denominations

A key can not contain embedded newline characters.

Step-by-step explanation:

The first part is your first MPI program, which is not difficult as a parallel algorithm but has technical challenges.

Answer:

(C.) AC¯¯¯¯¯≅EG¯¯¯¯¯     is true

Step-by-step explanation:

The positions of the letters in naming the triangles in the statement of congruent tells you which sides are congruent.

△ABC≅△EFG

Sides AB and EF are congruent

△ABC≅△EFG

Sides BC and FG are congruent

△ABC≅△EFG

Sides AC and EG are congruent

Look at the choices:

(C.) AC¯¯¯¯¯≅EG¯¯¯¯¯     is true

Using substitution method, the cost of hotel per night is $ 85

Let hotel cost per night = x

Let car rental per day = y

4x + 2y = 500 ____(1)

4x + 5y = 740 ____(2)

Solving for x in the equation

Equation (1) - (2)

-3y = - 240

y = 80

Substitute the value of y in (1)

4x + 2(80) = 500

4x + 160 = 500

4x = 500-160

4x = 340

x = $85

Therefore, hotel cost per night is $85

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The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).

To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.

Substitute 0 for y in the equation.0 = 3x - 1

Add 1 to both sides1 = 3x

Divide both sides by 3x = 1/3

The x-intercept of the line is (1/3, 0).

To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.

Substitute 0 for x in the equation.y = 3(0) - 1y = -1

The y-intercept of the line is (0, -1).

Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).

Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.

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Comparing descriptive statistics for numeric fields within the data is an example of quantitative analysis.

This type of analysis involves the use of numerical data to draw conclusions and make decisions. Descriptive statistics, such as measures of central tendency and variability, provide a summary of the data and can be used to identify patterns or trends. By comparing these statistics across different variables, researchers can gain insights into relationships between variables and make predictions about future outcomes. Overall, quantitative analysis is an important tool for understanding and interpreting complex data sets. Comparing descriptive statistics for numeric fields within the data is an example of "Exploratory Data Analysis (EDA)." EDA involves summarizing, visualizing, and analyzing datasets to extract meaningful insights and understand underlying patterns or trends. This process helps in making informed decisions and supports further statistical or predictive modeling.

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Step-by-step explanation:

\( {a}^{2} = {4}^{2} + {2}^{2} \\ {a}^{2} = 16 + 4 \\ {a}^{2} = 20 \\ a= \sqrt{20} \\ {x}^{2} = {( \sqrt{20} )}^{2} + {3}^{2} \\ {x}^{2} = 20 + 9 \\ {x}^{2} = 29 \\ x = 5.385\)

as a whole number = 5

Answer:

the answer is D

Step-by-step explanation:

edu 2021

Answer:

y≤ 1/3x+6

y> -3x-6

y > x

Step-by-step explanation:

This is the only answer that matches the solid line on y = 1/3 x + 6 and the shading below it, which is why it's y ≤ 1/3 x + 6.

It's also the only answer with a dashed line on y = -3x - 6 and has the shading above that line, which is why it's y > -3x - 6.

The system of inequality should be y>x, y ≤ 1/3 x + 6, y > -3x - 6.

In the given question, we have to find which system of inequalities is represented by the graph.

From the given graph we can see that one line is passing through the point (0,0). So the inequality should be y>x.

Now the next inequality should be y ≤ 1/3 x + 6. This is the only answer that matches the solid line on y = 1/3 x + 6.

Now the next inequality should be y > -3x - 6. It's also the only answer with a dashed line on y = -3x - 6.

So the system of inequality should be;

y>x

y ≤ 1/3 x + 6

y > -3x - 6

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The given information is as follows:A random sample of 150 teachers in an​ inner-city school district found that​ 72% of them had volunteered time to a local charitable cause within the past 12 months.

The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150

The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037

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A line passing through (3/2,2) and (-1,3)

m= (-1)-3/2/(3-2)=  -5/2.

Y=Mx+b

Y= -5/2x+b

A line passing through (-1,3) so 3= -5/2*(-1)+b

B= 6/5

The y intercept of the line on the graph y= -5/2x + 6/5

Domain of the radical function of the form f(x) = √(ax + b) + c is given by the solution of the inequality ax + b ≥ 0 and the range is the all possible values obtained by substituting the domain values in the function.

We know that the general form of a radical function is,

f(x) = √(ax + b) + c

The domain is the possible values of x for which the function f(x) is defined.

And in the other hand the range of the function is all possible values of the functions.

Here for radical function the function is defined in real field if and only if the polynomial under radical component is positive or equal to 0. Because if this is less than 0 then the radical component of the function gives a complex quantity.

ax + b ≥ 0

x ≥ - b/a

So the domain of the function is all possible real numbers which are greater than -b/a.

And range is the values which we can obtain by putting the domain values.

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To solve for x, we just need to compute the inverse of A (if it exists) and multiply it by b. If A is invertible, then this method will give us the unique solution to the linear system Ax=b.

To solve a linear system of the form Ax=b using inverse matrices, we can first find the inverse of matrix A (if it exists) and then multiply both sides of the equation by \(A^-1\), giving us:

\(A^-1Ax = A^-1b\)

Since\(A^-1A\) is the identity matrix I, we can simplify the left-hand side to just x:

\(x = A^-1b\)

However, it's worth noting that computing the inverse of a matrix can be computationally expensive, particularly for large matrices.

So, while using inverse matrices can be a useful technique for solving small systems, it may not be the most efficient approach for larger systems. In those cases, other techniques such as Gaussian elimination or LU decomposition may be more appropriate.

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Answer:

9. m < 1 = 30

10. m < 1 = 83.1

11. m < 1 = 90

12. X= 70, Y= 110, Z= 30

13. X = 80, Y = 100

14. C = 60

Hope this helps.

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

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A seam or edge is an obvious line where the foundation starts or stops. This term refers to a clear boundary or distinction between two areas or surfaces, such as when applying makeup.

A seam or edge is an obvious line where the foundation starts or stops. These lines indicate the boundary of where foundation makeup should be applied or where it should end. It is important to blend the foundation seamlessly into the skin to avoid any noticeable lines or streaks. Additionally, applying a primer beforehand can help smooth out the skin's texture and create a more even base for foundation application. By taking the time to properly blend and apply foundation, you can achieve a flawless, natural-looking complexion.
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y = 9(sin(a - 2) - 5)

Explanation:

The original equation of a sine wave is given by `y = sin a`.

The new equation can be obtained by making the following transformations to the original equation:

y = sin(a)

Right 2 units => y = sin(a - 2)

Downward 5 units => y = sin(a - 2) - 5

Vertically stretched by a factor of 9 => y = 9(sin(a - 2) - 5)

Comparing with y = sin(2), we see that the frequency of the new wave is the same as that of the original wave. The only difference is the phase shift, vertical translation, and amplitude change.

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Option e. 468,000 is the correct answer about the number of different license plates that can be made from the given letter and digit combination

We need to choose 2 letters from 26 English alphabets, and 3 digits from 0-9

Choosing digits:

The first digit among the digits can be chosen in 10 ways

The second digit among the remaining digits can be chosen in 9 ways

The third digit can be chosen in 8 ways

Choosing letters:

The first letter can be chosen in 26 ways

The second letter can be chosen among the remaining alphabet in 25 ways

So, the total number of ways in which the license plate can be made = 26*25*10*9*8 = 468,000

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A = 40,000(1 + 0.07)^3

A = 40,000(1.07)^3

A = 47,676.08

Therefore, the population of the town in 3 years will be approximately 47,676.

The body comes to momentary rest at time t = \((3t = (3\omega(0)/b)^{(1/3)}).\)

Given that the angular acceleration is given by \(\alpha(t) = -b t^2\), we can integrate it to obtain the angular velocity as a function of time.

Integrating α(t) with respect to t gives us:

\(\omega(t) = - (b/3) t^3 + C\)

Here, C is the constant of integration.

To determine C, we can use the initial condition that ω(0) = ω(0), which means the angular velocity at t = 0 is some known value ω(0).

Plugging in these values, we get:

\(\omega(0) = - (b/3) (0)^3 + C\)

ω(0) = C

Therefore, the expression for the angular velocity becomes:

\(\omega(t) = - (b/3) t^3 + \omega(0)\)

To find the time at which the body comes to a momentary rest, we need to solve for t when ω(t) = 0:

\(0 = - (b/3) t^3 + \omega(0)\)

Simplifying the equation, we have:

\((b/3) t^3 = \omega(0)\\t^3 = (3\omega(0))/b\\t = (3\omega(0)/b)^{(1/3)})\)

Hence, the body comes to momentary rest at time\(t = (3\omega(0)/b)^{(1/3)}.\)

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Answer:

It is 2 million

Answer:

Million

Step-by-step explanation:

Answer:

132 kilometers

Step-by-step explanation:

The train will travel 354.6km in 4hr 45 min.

Step-by-step solution:

GIVEN-

Distance=112km in 1hr and 30min(3/2h)

TO FIND-

Distance in 4hr and 45 min

Let the required distance be x km.

More distance → more time

Therefore the two quantities are directly proportional.

∴Distance=x

Time (in hours)=4hr 45min= 19/4h

\(\frac{x1}{y1}\)=\(\frac{x2}{y2}\)

⇒

\(\frac{112}{x}\)=\(\frac{1.5}{19/4}\)

⇒3/2 x= 112×19/4

∴x=354.6km

Hence, the required distance =354.6 km.

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The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.

The ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.

12⅝ = 101/8 = 12.645

12.62 = 12.62

√146 = 12.0830

12.39 = 12.39

12¾ = 51/4 = 12.75

Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.

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Answer:

The train travels at 120 miles per hour.

Step-by-step explanation:

All we have to do is divide 540 by 4.5

540 ÷ 4.5 = 120

So the answer is 120 miles per hour.

Hope this helps! :)