Given that x y=60, the maximum value of x2y is the value of x for this maximum value is answer

Step-by-step explanation:

here,

1o

so X is equal to 10

The width of the farm in the drawing is 2 centimeters.

The formula used to calculate the width of the farm in the drawing is: the actual width of the goat pen divided by the scale of the drawing. In this case, 8 meters divided by 4 meters (1 centimeter = 4 meters) is equal to 2 centimeters. So, the width of the farm in the drawing is 2 centimeters.

To calculate the width of the farm in the drawing, we must first understand the scale of the drawing. The scale of the drawing is 1 centimeter = 4 meters. This means that for every 1 centimeter in the drawing, it represents 4 meters in the actual farm.

Next, we must determine the actual width of the goat pen. In this case, it is 8 meters.

Finally, we can calculate the width of the farm in the drawing by dividing the actual width of the goat pen (8 meters) by the scale of the drawing (1 centimeter = 4 meters). 8 meters divided by 4 meters is equal to 2 centimeters. So, the width of the farm in the drawing is 2 centimeters.

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a) The probability that at least 14 out of the 19 new plants survive in Kerry's garden is approximately 0.963.

To find the probability, we need to consider the binomial distribution. The probability of success (a plant surviving) is 0.8, and the probability of failure (a plant not surviving) is 1 - 0.8 = 0.2. We want to calculate the probability of at least 14 successes out of 19 trials.

Using the binomial probability formula, we can calculate the probability of exactly 14, 15, 16, 17, 18, and 19 plants surviving and sum them up. The formula is:

\(P(X = k) = C(n, k) * p^k * (1-p)^(^n^-^k^)\),

where P(X = k) is the probability of k successes, C(n, k) is the number of combinations of n items taken k at a time, p is the probability of success, and (1-p) is the probability of failure.

Calculating the probability for each outcome and summing them up, we get:

P(X ≥ 14) = P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19)

After performing the calculations, we find that the probability is approximately 0.963.

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We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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To transform the graph of f into the graph of g:

Make a horizontal shift of 14 units to the left

Make a vertical shift of 14 units upward

Take the following steps to determine the transformation;

Given the functions:

\(f(x) = \sqrt{x - 9}\)

\(g(x) = \sqrt{x + 5}\)

Horizontal Shift;

Substitute the variable 'x' in the original function with '(x - h)', where 'h' is the amount of the horizontal shift.

f(x) = √(x - 9) will be  14 units to the left, h = 14.

f(x) = \(\sqrt{(x - 14) - 9}\).

Vertical shift:

Original function f(x) = √((x - 14) - 9) will be transformed 14 units upward, We have;

\(\sqrt{(x -14) + 5}\)

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The length of the rectangle which is 3 meters longer than the width and the 22 square meter area of the rectangle gives by writing the equation of the area in terms of the question parameters;

An equation is the presentation of a mathematical statement involving two expressions having an equal sign between them.

The given parameters are;

The length of the rectangle = 3 meters + The width of the rectangle

The area of the rectangle, A = 22 square meters

Let l represent the length of the rectangle, and let w represent the width of the rectangle, we have;

l = 3 + w

The area of a rectangle, A = Length × Width

Which gives; the area of the rectangle, A = l × w

By substitution property of equality, we have;

A = (3 + w) × w = 3·w + w²

A = 22

Which gives; 22 = 3·w + w²

3·w + w² - 22 = 0

w² + 3·w - 22 = 0

From the quadratic formula, we have;

\(w = \dfrac{-3\pm\sqrt{3^2-4\times 1 \times (-22)} }{2\times 1} = \dfrac{-3\pm \sqrt{97} }{2}\)

\(w = \dfrac{-3+ \sqrt{97} }{2} \approx3.4\ and \ w = \dfrac{-3- \sqrt{97} }{2}\approx -6.4\)

Given that the measure of the width is a natural number, we have;

w = 3.4 and l = 3 + 3.4 = 6.4

l = 6.4 meters

The width is 3.4 meters

The length is 6.4 meters

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Answer:

\( \frac{ {a}^{3} }{14 {b}^{2} {c}^{4} } \)

Step-by-step explanation:

\( {14}^{ - 1} = \frac{1}{14} \)

\( {b}^{ - 2} = \frac{1}{ {b}^{2} } \)

\( \frac{ {14}^{ - 1} {a}^{3} {b}^{ - 2} }{ {c}^{4} } = \frac{ {a}^{3} }{14 {b}^{2} {c}^{4} } \)

Answer:

x = 4; y = 8

Step-by-step explanation:

y=2x

y=x+4

2x = x + 4

x = 4

y = 2x = 2(4)

y = 8

Solution: x = 4; y = 8

Step-by-step explanation:

Due to SAS theorem for triangles , they are equivalent triangles

 so the two sides are equivalent    5x+12 = 8x    sole for x = 4

    then AD = 8x = 8(4) = 32 units

Answer:

The farmer can achieve a maximum area of 50 square yards with 20 yards of fencing.

Step-by-step explanation:

Given that farmer shall construct a rectangular fenced-in area and a side of the barn is one side of such area, the needed length of fencing is represent by the following perimeter equation (\(p\)), measured in square yards:

\(p = 2\cdot l + w\)

Where:

\(l\) - Length of the rectangle, measured in yards.

\(w\) - Width of the rectangule (side of the barn), measured in yards.

In addition, the equation of the fenced-in area (\(A\)) is:

\(A = w\cdot l\)

If \(p = 20\,yd\), equation of area is now simplified as follows:

\(A = (20\,yd - 2\cdot l)\cdot l\)

\(A = 20\cdot l - 2\cdot l^{2}\)

The value of \(l\) associated with the maximum area is obtained with the help of First and Second Derivative Tests. Firstly, first and second derivatives of the area function are determined:

\(A' = 20 - 4\cdot l\)

\(A'' = -4\)

Let equalize first equation to zero, second derivative indicates that critical value follows to an absolute maximum. Hence:

\(20-4\cdot l = 0\)

\(l = 5\,yd\)

The width of the rectangle is: (\(p = 20\,yd\) and \(l = 5\,yd\))

\(w = p - 2\cdot l\)

\(w = 20\,yd - 2\cdot (5\,yd)\)

\(w = 10\,yd\)

And finally, the maximum area she can achieve is:

\(A = (5\,yd)\cdot (10\,yd)\)

\(A = 50\,yd^{2}\)

The farmer can achieve a maximum area of 50 square yards with 20 yards of fencing.

Answer:

D. the subtraction property of equality was not applied.

Step-by-step explanation:

Step 1: Listed the statement

Step 2: applied the addition property of equality

Step 3: Simplified

Step 4: Applied the multiplication property of equality

Step 5: Simplified

~

Answer:

a + b = 27

=> a = 27 - b

ab = 50

So, (27 - b) x b = 50

27b - b^2 = 50

b^2 - 27b + 50 = 0

Solving, b = 25, 2

Hence,

Case 1: b = 25, a = 2

Case 2, b = 2, a = 25

Answer:

2, 25

Step-by-step explanation:

Let the numbers be x and y :

Rearrange the first equation so it is equal to one variable :

Substitute the value in the second equation :

Answer:

noi cant

Step-by-step explanation:

im too dumb for this

The graph of the inequality y ≤ 5x - 3 is given below.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

An inequality:

y ≤ 5x - 3.

The intercepts are (0.6, 0) and (0, -3)

The graph of the inequality is given in the attached image.

Therefore, the graph is given.

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The radius of the cylinder is found to be 6 cm.

A right circular cylinder is a three dimensional figure having its base and top as a circle and the height is perpendicular to circular base. The volume is given as V = πr²h.

Given that,

The height of the cylinder is 17 cm.

And, the volume is 1921.68 cm³.

Suppose the radius be r cm.

Substitute the corresponding values in the expression of volume V = πr²h as follows,

V = πr²h

=> 1921.68 = π × r² × 17

=> π × r² = 1921.68/17

=> r² =  1921.68/17π    

=> r = 6

Hence, the radius of the cylinder is obtained as 6 cm.

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After  solving the equation 5(X - C)  = D , for the given matrices , we get , the unknown matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .

In the question ,

it is given that , the matrices are

A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\)   B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\)   C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\)   and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) .

and the equation is given as 5(X - C)  = D ,

and we have to find the value of unknown matrix X .

let the matrix X be = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\)

Substituting , the given matrices A , B , C and D in the equation 5(X - C)  = D ,

we get ,

5(X - C)  = D ,

5X - 5C = D ,

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) - 5\(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\)

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) - \(\left[\begin{array}{ccc}15&15\\20&0\\0&40\end{array}\right]\)

Simplifying further ,

we get ,

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}25&45\\50&30\\30&40\end{array}\right]\)

Dividing both sides by 5 ,

we get ,

X = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\)

Therefore , the matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .

The given question is incomplete , the complete question is

Solve the matrix equation for the unknown matrix X.

A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\)   B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\)   C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\)   and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) . the equation is

5(X - C)  = D .

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Answer: 300 yards

Step-by-step explanation:

Since b1 is equal to 14 yds and b2 is equal to 26 yds we can plug that into the equation below (in the image).

b1 + b2 = 14 + 26 = 40 yards

Now that we have found (b1 + b2), you can multiply that by h (the height of the trapezoid) which is 15, so we get 40 x 15 = 600.

In a lot of area equations, you will have to divide by two like in the trapezoid equation. Divide our number (600) by 2, so we get 600 ÷ 2 = 300.

300 yds is your final answer.

Hope this helps!

Answer:

Rate( family drink juice) = 0.1142 gallon juice per day

Step-by-step explanation:

Given:

Amount of juice drank by family = 4 gallon

Time taken by family = 5 week

Find:

Rate( family drink juice)

Computation:

Time taken by family (In days) = 5 x 7 days

Time taken by family (In days) = 35 days

Rate( family drink juice) = Amount of juice drank by family / Time taken by family (In days)

Rate( family drink juice) = 4 / 35

Rate( family drink juice) = 0.1142 gallon juice per day

As the temperature fell by 31 F, the temperature at 11 pm dropped to

-22 F.

Temperature tells us about the degree of hotness or coldness of a body. According to the thermodynamics, temperature is a measure of the average kinetic energy of the atoms or molecules in the system.

Given is at 3 pm the Temperature was 9F and by 11 pm it had dropped by 31 F.

Temperature at 3 pm = T[3] = 9 F

Since, the temperature fell by 31 F, the temperature at 11 pm would be =

Temperature at 3 pm T[3]  - 31 F = 9 - 31 = - 22 F.

Therefore, as the temperature fell by 31 F, the temperature at 11 pm dropped to -22 F.

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Answer:

Step-by-step explanation:

Given the quadratic equation A=−2x2+180x that gives the area A of the yard for the length x, to maximize the area of the yard then dA/dx must be equal to zero i.e dA/dx = 0

If A=−2x²+180x

dA/dx = -4x + 180 = 0

-4x + 180 = 0

Add 4x to both sides

-4x + 180 + 4x = 0 + 4x

180 = 4x

x = 180/4

x = 45

Hence the length of the building that should border the yard to maximize the area is 45 ft

To find the maximum area, we will substitute x = 45 into the modelled equation of the area i.e A=−2x²+180x

A = -2(45)²+180(45)

A = -2(2025)+8100

A = -4050 + 8100

A = 4050 ft²

Hence the maximum area of the yard is equal to 4050 ft²

The Gini Coefficient of a country whose Lorenz curve is given by y = x⁵.⁴¹⁵ is 0.657.

Given, The Lorenz curve for a country is given by y = x⁵.⁴¹⁵.

To find the Gini coefficient, we need to calculate the area between the Lorenz curve and the line of perfect equality.

Let the line of perfect equality be represented by the equation y = x.

For this Lorenz curve, the area between the Lorenz curve and the line of perfect equality is 0.343.

To calculate the Gini coefficient, we can use the formula,

Gini coefficient = Area between the Lorenz curve and the line of perfect equality / Total area below the line of perfect equality

Gini coefficient = 0.343 / 0.52 (as the area of the triangle below the line of perfect equality is 0.5)

Therefore, the Gini coefficient for the given Lorenz curve is: 0.657

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Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

\(y = - \frac{3}{2} x + 8\)

Comparing with the general equation above

\(Slope = - \frac{3}{2} \\ \)

Hope this helps you

Hello there!

The slope is -3/2

Remember y=mx+b (Slope-Intercept Form)

m is the slope, and b is the y-intercept

m is -3/2, and b is 8

Hope this helps

~Just a gloomy gal who misses her best friend

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\(SilentNature\)

according to question the correct answer is "x = 3".

A vertical line has an undefined slope and passes through all points with the same x-coordinate. In this case, we want a vertical line that passes through the point (3, -5).

Since the line is vertical and passes through (3, -5), we know that the x-coordinate of all points on the line must be 3. the equation of the vertical line is:

x = 3

what is equation?

An equation is a mathematical statement that uses symbols to represent a relationship between two or more quantities or values. An equation typically contains an equal sign (=) which indicates that the expressions on either side of the equal sign have the same value.

For example, the equation

2x + 3 = 7

uses the symbol x to represent an unknown value and states that if we multiply x by 2, add 3 to the result, we obtain the value 7.

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Answer:

6

Step-by-step explanation:

n - number

9n + 4 = 58

9n = 54

n = 54/9 = 6

Answer:

y=5x-3

Step-by-step explanation:

y=mx+b where m=slope and b= y-intercept

Answer:

get help from your teacher

Step-by-step explanation:

Answer:

the fifth one

Step-by-step explanation:

dwdw

Answer:

2667 tires

Step-by-step explanation:

One tire can generate:

Considering efficiency of 50%, one tire can produce:

10 homes require electricity, amount of:

How many tires can cover this demand?

Each whole number can be represented as a fraction of the form n/16, where n is the whole number.

How do we divide the number line into fractional units, place fractions, and represent wholes as fractions?

For instance:

- 0 can be represented as 0/16

- 1 can be represented as 1/16

- 2 can be represented as 2/16 (or simplified as 1/8)

- 3 can be represented as 3/16

- 4 can be represented as 4/16 (or simplified as 1/4)

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