-> Suppose a certain baseball diamond is a square 87 feet on a side. The pitching rubber is located 58.5 feet from home plate on a line joining home plate and second base. How far is it from the pitching rubber to first​ base?
-> It is recomended to draw the baseball diamond.
-> If possible, please attach the drawing (it would help out a ton!!).
-> I would please like help with this question as soon as possible.

Answer:

6

Step-by-step explanation:

Your answer is: x* = Py/Px. The solution for x* in terms of Px, Py, and I is Py / Px.

Explanation:
Step 1: Given U = ln(x) + y, find the partial derivatives with respect to x and y.
∂U/∂x = 1/x
∂U/∂y = 1

Step 2: According to the theory of utility maximization, the consumer maximizes utility subject to the budget constraint Px * x + Py * y = I.

Step 3: Set up the Lagrangian function L(x, y, λ) = ln(x) + y + λ(I - Px * x - Py * y).

Step 4: Find the partial derivatives of the Lagrangian function with respect to x, y, and λ, and set them equal to zero.
∂L/∂x = 1/x - λ * Px = 0
∂L/∂y = 1 - λ * Py = 0
∂L/∂λ = I - Px * x - Py * y = 0

Step 5: Solve the system of equations to find the optimal values of x and y.
From ∂L/∂x: λ * Px = 1/x
From ∂L/∂y: λ * Py = 1
Divide the first equation by the second equation to eliminate λ:
(Px * x) / (Py * y) = 1

Step 6: Rearrange the equation to find x* in terms of Px, Py, and I.
x* = Py / Px

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You multiply them.

72 in. 3

Answer:

3.3%

Step-by-step explanation:

compound interest: A = Pe^(rt)

A = 534.46

P = 450

t = 5

534.46/450 = e^(5r)

e^(5r) = 1.18

lne^(5r) = ln 1.18

(5r)lne = ln1.18

ln1.18 = 5r

5r = 0.165

r = 0.033

or 3.3%

Sue is an example of the law for "diminishing marginal utility" if she only buys apples if the price drops because each apple produces less additional satisfaction.

The phenomenon known as diminishing marginal utility describes how each extra unit of gain results in an ever-smaller rise in subjective value.

Thus, Sue is an example of the law for "diminishing marginal utility" if she only buys apples if the price drops because each apple produces less additional satisfaction.

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Answer:

(-3, -6)

Step-by-step explanation:

y=2x

-3x-15=y

Use Substitution Method

-3x-15=2x

+3x      +3x

-15=5x

/5   /5

-3=x

y=2x

y=2(-3)

y=-6

Answer:

(-3, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 2x

-3x - 15 = y

Step 2: Solve for x

Step 3: Solve for y

Answer:

400

Step-by-step explanation:

240/60=4, meaning 4 people per every percentage. Which when 4 is multiplied by 100, you get 400=100%

Answer:

400

Step-by-step explanation:

60/100  =  240/?

Bat and Ball ( when do proportional table make a x like shape between/through each number. The number going diagainal multiplies, number next to number is used to divide the product of the diagainal numbers.)

240 x 100 = 24,000

24,000 divided 60 = 400

400 were survreyed

Answer:

53.13 degrees

Step-by-step explanation:

From the shape of the graph, we can see that the plotted line forms a right-angled triangle with the x and y coordinates. As a result, we can use laws that govern the geometry of right-angled triangles to evaluate the solution.

\(tan \theta = opposite/ adjacent\)

The opposite side in this case is the side directly facing the angle Θ. This is the y - axis value = -4

The adjacent side in this case is the side above the angle Θ. This is the y - axis value = -3

\(tan \theta = (-4/-3)\\\theta = tan ^-1(4/3) = 53.13 degrees\)

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

The length of the diagonal of Bob's TV can be found using the Pythagorean theorem. The correct answer is option C: 50 inches.

In a rectangle, the diagonal is the hypotenuse of a right triangle formed by the width and height of the rectangle. To find the length of the diagonal, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the width of Bob's TV is 40 inches and the height is 30 inches. Let's denote the length of the diagonal as D. Applying the Pythagorean theorem, we have:

\(D^2 = 40^2 + 30^2\)

\(D^2 = 1600 + 900\)

\(D^2 = 2500\)

Taking the square root of both sides, we find:

\(D = \sqrt{ 2500\)

\(D = 50\)

Therefore, the length of the diagonal of Bob's TV is 50 inches, which corresponds to option C.

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The x-intercept and y-intercept can find by using graphically and solving the equation.

What is the x-intercept?

A line's x-intercept and y-intercept are the points at which the x- and y-axes, respectively, are crossed.

If we have an equation, then there are two ways to find x-intercepts and y-intercepts.

1) Graphically

2) Solving the equation

Graphically:

If we have a graph of an equation, then find the points where the graph cuts the x-axis. The points are known as x-intercepts. The graph that cuts the y-axis is the y-intercepts.

Solving the equation:

Putting x = 0 in the equation to find the value y-intercept.

Put y = 0  in the equation to find the value x-intercept.

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The zero input response y(t) can be written as: \(y(t) = -2/3e^{-3t} + 2/9te^{-3t} + 5/9 + 8/9e^{-3t}\)

Also ,  the zero input response y(t) is given as:\(y(t) = (8/9 - 2/3)e^{-3t} + 2/9te^{-3t} + 5/9\)

In the given question, we are given the transfer function of the system. The zero input response y(t) can be calculated using the following steps:

Step 1: Find the roots of the denominator of the transfer function. In the denominator, we have:s²+6s+9 = 0Using the quadratic formula, we get: s1 = s2 = -3Therefore, the denominator of the transfer function can be written as:

s²+6s+9 = (s+3)²

Step 2: Find the partial fraction of the transfer function. To find the partial fraction, we need to factorize the numerator of the transfer function.

G(s) = (3s+5):(s+3)²= A:(s+3) + B:(s+3)² + C Where A, B, and C are constants.

Multiplying both sides by (s+3)², we get:3s+5 = A(s+3)(s+3) + B(s+3)² + C On substituting s=-3 in the above equation, we get: C = 5/9On equating the coefficients of the terms with s and the constant term, we get:

A + 2B + 9C = 3A + 3B = 0On substituting C=5/9 in the above equation, we get: A = -2/3 and B = 2/9Therefore, the partial fraction of the transfer function can be written as: G(s) = -2/3:(s+3) + 2/9:(s+3)² + 5/9

Step 3: Find the inverse Laplace transform of the partial fraction of the transfer function. The inverse Laplace transform of the partial fraction of the transfer function can be calculated as: \(y(t) = -2/3e^{-3t} + 2/9te^{-3t} + 5/9\)

On substituting y(0) = 3 and y'(0) = −7, we get:3 = -2/3 + 5/9y'(0) = -2 + 10/9 = -8/9

Therefore, the zero input response y(t) can be written as: \(y(t) = -2/3e^{-3t} + 2/9te^{-3t} + 5/9 + 8/9e^{-3t}\)

Therefore, the zero input response y(t) is given as:\(y(t) = (8/9 - 2/3)e^{-3t} + 2/9te^{-3t} + 5/9\)

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345.989554676 to 1 decimal place is 346.0

Decimals numbers are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point.

Example of decimal numbers are as follows;

12.4, 18. 9455, 56.7999, 6.7789, 9.067 etc.

When you round to the one decimal place, or to the nearest tenth, the number in the hundredth point place will determine whether you round up or down.

If the hundredths digit or second decimal number is a number between 5 and 9, round up to the nearest whole number. If it's a number between 0 and 4, you would "round down" by keeping the tenths place the same.

Therefore,

345.989554676 to 1 decimal place is 346.0

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The normal probability plot suggests the data is approximately normally distributed. The sample standard deviation of given data is 3.13. The 95% confidence interval for the population standard deviation is (1.85, 6.28). The investment manager's desire for a population standard deviation below 6% is validated by the confidence interval.

To construct a normal probability plot, we first need to sort the data in ascending order:

6.6, 6.7, 8.7, 9.6, 10.0, 10.3, 11.3, 12.4, 12.4, 13.8, 14.9, 15.9

Then we can plot the ordered data against the expected values of a normal distribution with the same mean and standard deviation as the sample. The plot shows that the points follow a roughly straight line, which suggests that the data is roughly normally distributed.

To determine the sample standard deviation, we can use the formula:

s = sqrt[(∑(xi - x)²) / (n - 1)]

where xi is the rate of return for each year, x is the sample mean, and n is the sample size.

Sample mean:

x = (13.8 + 15.9 + 10.0 + 12.4 + 11.3 + 6.6 + 9.6 + 12.4 + 10.3 + 8.7 + 14.9 + 6.7) / 12 = 11.433

Sample standard deviation:

s = sqrt[((13.8 - 11.433)² + (15.9 - 11.433)² + ... + (6.7 - 11.433)²) / (12 - 1)]

= 3.059

Therefore, the sample standard deviation is 3.059.

To construct a 95% confidence interval for the population standard deviation of the rate of return, we can use the formula:

CI = [(n - 1) * s² / χ²(α/2, n-1), (n - 1) * s² / χ²(1-α/2, n-1)]

where n is the sample size, s is the sample standard deviation, χ² is the chi-square distribution, and α is the level of significance (1 - confidence level).

For a 95% confidence level and 11 degrees of freedom (n - 1), α = 0.05/2 = 0.025. From the chi-square distribution table with 11 degrees of freedom, we can find the critical values as follows:

χ²(0.025, 11) = 2.201 and χ²(0.975, 11) = 23.337

Plugging in the values, we get:

CI = [(12 - 1) * 3.059² / 23.337, (12 - 1) * 3.059² / 2.201]

= [1.946, 26.557]

Therefore, we can say with 95% confidence that the population standard deviation of the rate of return is between 1.946 and 26.557.

The investment manager wants to have a population standard deviation for the rate of return below 6%. The confidence interval (1.946, 26.557) does not validate this desire, as it includes values above 6%. Therefore, based on the sample data, the investment manager cannot be confident that the population standard deviation is below 6%.

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Answ

n-11 ≤ 19

or 11-n ≤ 19

Step-by-step explanation:

Mrk ME BRAINLIEST PLZZZZZZZZZZZZ

The given sequence the recursive function will be \(a_n = 4a_{n-1}\)

The iterative rule for the sequence is \(T_n = 8(4)^{n-1\)

Given the sequence of numbers  8, 32, 128, 512, …

From the given sequence the recursive function will be \(a_n = 4a_{n-1}\)

For the iterative sequence, we will use the common ratio and the first term as shown;

\(T_n=ar^{n-1}\\T_n=8(4)^{n-1}\)

Hence the iterative rule for the sequence is \(T_n = 8(4)^{n-1\)

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The populace is the concrete produced by a certain procedure. This population is conceptual since the concrete won't exist until the sampling procedure has created it.

It is frequently crucial to ascertain the type of population we are working with when asked to perform a sample of it. Sometimes we want to learn more about a lot of different things, like people, apple trees, cereal boxes, etc. Physical things make up the majority of this population. But occasionally, we work with a population that is determined by how well a certain method works (like flipping a coin). We cannot influence that population, but we are aware of its behavior. The population is the broad category of topics about which we are interested in learning more. Since we are dealing with concrete objects that we can touch and interact with, it is more particularly a tangible population.

Similar to the bag of marbles, we have a 50/50 probability of seeing each result. The population does not yet exist with the coin, which is the problem. To get a result, we must flip a coin. Although it is only a notional population, we nonetheless regard "all of the coin flips" as the conceptual population.

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The expected value of each warranty sold is $2.47.

The expected value of each warranty sold can be calculated by subtracting the cost of the warranty from the expected value of the potential savings on replacement costs.

Let's assume that the company sells 1000 warranties. Then, the expected number of products that will fail within 2 years is:

0.5% of 1000 = 0.005 x 1000 = 5

The expected cost of replacing these products is:

5 x $500 = $2500

Therefore, the expected value of the warranty is:

($2500 - $33 x 1000) / 1000 = $2.47

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The lengths of LV and OE are 15cm, and the lengths of LD and EV are 3√7 cm and 9/√7 cm, respectively.

Since LOVE is a kite, LV and OE are perpendicular bisectors of each other. Let the length of LD be x, and the length of EV be y. Then, we can use the Pythagorean theorem and the fact that the diagonals bisect each other to set up two equations:

x² + (LV/2)² = DV²/4

y² + (OE/2)² = LE²/4

Simplifying each equation and substituting the given values, we get:

x² + (LV/2)² = 81/4

y² + (OE/2)² = 225/4

We also know that the diagonals bisect each other, so we can set up another equation:

LV/2 + OE/2 = LO = VE

Substituting the given value for LE, we get:

LV/2 + OE/2 = 15

Solving this equation for one of the variables, we get:

LV = 30 - OE

Substituting this expression into the first equation above, we get:

x² + ((30 - OE)/2)² = 81/4

Simplifying and rearranging, we get:

OE² - 60OE + 675 = 0

Using the quadratic formula, we get:

OE = (60 ± √(3600 - 2700)) / 2

OE = 15 or 45

If OE = 15, then LV = 30 - 15 = 15, and we can solve for x and y:

x² + 7.5² = 81/4

y² + 7.5² = 225/4

Solving these equations, we get:

x = 3√7

y = 9/√7

If OE = 45, then LV = 30 - 45 = -15, which is impossible for a length. Therefore, the solution is:

LV = OE = 15

x = 3√7

y = 9/√7

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Complete question:

LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm are given. Find the lengths of the other segments of the diagonals, DV, OE, and LV.

To plot the given fractions and decimals on a number line, let's arrange them in ascending order:

0.125, 0.4, 0.7, 1/3, 5/6, 7/8

Now, let's represent each value on the number line:

markdown

Copy code

          |      |      |       |        |         |

          0.125  0.4    0.7    1/3      5/6       7/8

Please note that due to the limitations of the text-based format, the number line may not be perfectly to scale. However, it provides a visual representation of the relative positions of the given fractions and decimals.

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Answer:

9/4 or 2.25

Step-by-step explanation:

9=4t

Move the 4

9/4=t in decimal its 2.25=t

Answer:

distance = √65

Step-by-step explanation:

plot both points in the complex plane. coordinates will be (6, 5) and (-2, 4).

the distance will be square root of the squares of their differences.

√((5-4)² + (6 - -2)²)

= √(1² + (6+2)²)

= √(1 + 8²)

= √65

distance = √65

so,   65 goes where the ? is.

Answer:

1/50

Steps:

Recall 2 can divide 100

therefore

2/100 = 1/50

Answer:

C

Step-by-step explanation:

Option C is correct, the polygon in c option is the next step in the series

A polygon is a plane figure made up of line segments connected to form a closed polygonal chain.

In the first step we can see a triangle

The triangle has three sides

In the second step there is a rectangle which has four sides

The third step has pentagon which has five sides

So in next step the polygon should have six sides

Hexagon is the next step in the series

Hence, option C is correct, the polygon in c option is the next step in the series

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Answer:

You will make cross multiplication.

So, we will make 5 x 8 =40, then we will divide 40 by 10 which is equal to 4.

Hope it helps:D

The answer is 15.

From the question, we have

60 ÷ 4 = 15

The answer is 15.

Divide:

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

Complete question:

Solve: 60 ÷ 4

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The inequality given by (x/3) + 5 ≥ 1/6 has the solution x ≥ -29/2 or [-29/2 , +∞).

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.

Given the inequality (x/3) + 5 ≥ 1/6, subtract 5 from both sides.

(x/3) + 5 - 5 ≥ 1/6 - 5

x/3 ≥ -29/6

Multiply both sides by 3.

3(x/3) ≥ 3(-29/6)

x ≥ -29/2

To check, let x = -29/2

x = -29/2 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

(-29/2)/3 + 5 ≥ 1/6

1/6 ≥ 1/6

let x = -14,

x = -14 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

-14/3 + 5 ≥ 1/6

1/3 ≥ 1/6

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