A home owner is planning the design of his rectangular vegetable garden as shown in the diagram. He plans to put wire fencing around each patch of vegetables to separate them and keep out the local deer. He has purchased 126 m of fencing. What dimensions should he use to maximize the area of the garden?

Please show your work in steps due to wanting to leant how to be done!

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

For every one pound there are 16 ounces.

Step-by-step explanation:

We can simply see that by dividing the ounces by pounds, 32/2 = 16, and 48/3 = 16.

Number of ounces: 16, 32, 48, 64, 80, 96

Number of pounds:  1, 2, 3, 4, 5, 6

Answer:

1.6

Step-by-step explanation:

12.8/8 = 1.6

15.2/9.5 = 1.6

Scale factor = 1.6

Answer:

7.03 seconds

Step-by-step explanation:

First, you need to differentiate the equation (The derivative of y represents the rocket's velocity):

y' = 32x + 225

Then, set y' to 0 and solve for x

0 = 32x + 225

x = 7.03s

Answer:

Y= 2.3033x + 160.71

Step-by-step explanation:

The value of the slope m is 2.55 and the y-intercept of the line is 135.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + b

Where m is the slope of the line and b is the y-intercept of the line.

From the table, the two points will be (60, 288.1) and (100, 390).

Then the slope of the line will be

m = [(390 - 288.1) / (100 - 60)]

m = 101.9 / 40

m = 2.55

Then the equation of the line will be

y = 2.55x + b

The equation is passing through (100, 390). Then the value of b will be

390 = 2.55 (100) + b

390 = 255 + b

b = 135

Then the equation of the line will be

y = 2.55x + 135

The value of the slope m is 2.55 and the y-intercept of the line is 135.

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Answer:

the slope is 1  and y-intercept s 4 so:

the first point is (0,4)

then go 1 right and 1 up

keep doing that and brainliest me pls

The function f(x) = sinx will be shift left side by π/3 units and becomes g(x) = sin(x + π/3) and period of the transformed function becomes 2π

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a primary function:

f(x) = sinx     and

The transformed function is:

\(\rm g(x) = sin(x+\frac{{\pi} }{3} )\)

If we replace x to \(\rm x + \frac{\pi}{3}\) it will shift to the left by π/3 units.

For a period of the transformed function is given by:

\(\rm T = \frac{2\pi}{n}\)

Where n is used to find the period of the function.

n = 1

t = 2π

Thus, the function f(x) = sinx will be shift left side by π/3 units and becomes g(x) = sin(x + π/3) and period of the transformed function becomes 2π

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The correct statements about a line segment are; they connect two endpoints and they are one dimensional.

option C and D.

A line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.

The following are characteristics of line segments;

From the given options we can see that the following options are correct about a line segment;

They connect two endpoints

They are one dimensional

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Answer: 37/100

Step-by-step explanation:

The fraction of a kilometer that he walked in all would be the sum of 27/100 and 1/10.

To add them, first find the lowest common multiple of both denominators. This number is 100 so will be the denominator.

Divide 100 by each denominator and multiply it by the numerator:

= (27 + 10) / 100

= 37/100

Note: 100/10 = 10

= 10 * 1 = 10 which is the second numerator.

The statement 3 more than 7 means, a number is 3 more than a given number. Since here the number is 7 so the required number will be 7+3= 10

In numerical more than simply refers to adding and less than refers to subtracting. If it is given that a number let's say Z is Y more than X then the value will be Z= X+Y

If a given number let's say Z is Y less than X then the value of Z will be

Z=X-Y

More than means add which gives us a bigger value. Less than means subtract which gives us a smaller value

So, 3 more than 7 means 7+3 = 10

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Answer:

5 cups

Step-by-step explanation:

Let us set it up as a fraction.

\(\frac{\frac{11}{3}}{1}=3\frac{\frac{3}{4}}{x}\)

Step 1: Divide the given values

\(\frac{11}{3}\div 1 \\\\=\frac{11}{3}\)

Step 2: Multiply the result by the other value

\(3\frac{3}{4} \\\\3\frac{3}{4} \times \frac{11}{3}\\\\= 13\frac{1}{4}\)

So, with this solution, the answer is \(13\frac{1}{4}\). However, the answer isn't included in the options provided, so that means the answer is 5 cups.

In 345.75 s the bucket be 40% of the full capacity.

given that the bucket loses 0.4 oz of water per second

so at time t total water lose = 0.4t oz

we have initially 230.5 ounces (oz) of water

so total water remaining after t  s  is given by:

water left = 230.5 - 0.4t

and we have to find the time when total water remaining in the bucket is 0.4*230.5

so 0.4*230.5 = 230.5 - 0.4t

=> 0.4t =0.6 * 230.5

=>   t = 1.5 *230.5

=> t =345.75 s

so 345.75 s is required to loss 60% of the total water or to leave only 40% of water in the bucket.

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Answer:

about 45%

Step-by-step explanation:

it should be right

Answer:

x^2 + 2x - 1

Step-by-step explanation:

g(x)=(x+1)2−2 would be a quadratic if you'd write it like this:  g(x)=(x+1)^2−2.

This expands to g(x) = x^2 + 2x + 1 - 2  =  x^2 + 2x - 1

Answer:

the area is 1235

Step-by-step explanation:

Answer:

2714.33 sq in

explanation-

a) Formal explanation of risk aversion An agent with utility function u is more risk averse than an agent with utility function ˜u if the former has a higher marginal utility of consumption and a diminishing marginal utility of consumption.

The marginal utility of consumption is defined as the amount of utility gained from an additional unit of consumption.

b) Show that an agent with utility function u(x) = log x is more risk averse than an agent with utility function ˜u(x) = √ x. An agent with utility function u(x) = log x is more risk averse than an agent with utility function ˜u(x) = √ x. To show this, we need to find the Arrow-Pratt coefficient of risk aversion, also known as the coefficient of relative risk aversion. The Arrow-Pratt coefficient of risk aversion is given by :-u''(x)/u'(x)Where u'(x) is the first derivative of u with respect to x and u''(x) is the second derivative of u with respect to x.

The Arrow-Pratt coefficient of risk aversion measures the curvature of the utility function. A higher value of the Arrow-Pratt coefficient of risk aversion indicates greater risk aversion. Let us calculate the Arrow-Pratt coefficient of risk aversion for both functions:-For u(x) = log x, u'(x) = 1/x, and u''(x) = -1/x². Therefore, the Arrow-Pratt coefficient of risk aversion for u(x) is given by:-u''(x)/u'(x) = -1/x² ÷ (1/x) = -x For ˜u(x) = √ x, ˜u'(x) = 1/2√ x, and ˜u''(x) = -1/4x^(3/2). Therefore, the Arrow-Pratt coefficient of risk aversion for ˜u(x) is given by:-˜u''(x)/˜u'(x) = -1/4x^(3/2) ÷ (1/2√ x) = -1/2√ x

Therefore, since -x < -1/2√ x, the agent with the utility function u(x) = log x is more risk averse than the agent with the utility function ˜u(x) = √ x.

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Answer:

40 units^2

Step-by-step explanation:

The area of the triangle is

A = 1/2 bh

A = 1/2 ( 8 * 10)

   = 1/2 (80)

  = 40 units^2

Step-by-step explanation:

a=1/2*b*h

a=1/2*8*10

a=40

Answer:

Step-by-step explanation:

The root which is 2 is the fractional portion of your exponent

\(\sqrt{x^{7} y^{12} }\)

=\((x^{7} y^{12} )^{\frac{1}{2} }\)              >You can distribute 1/2 to each term by multiplying

\(=x^{\frac{7}{2} } y^{6\)

For a normal distribution, the probability of a value being between a positive z-value and its population mean is indeed the same as that of a value being between a negative z-value and its population mean.

This is due to the symmetric nature of the normal distribution curve, where probabilities are mirrored around the mean.

The normal distribution is characterized by its bell-shaped curve, which is symmetric around the mean. The mean is also the midpoint of the curve, and the curve approaches but never touches the horizontal axis. The standard deviation of the distribution controls the spread of the curve.

In a normal distribution, the probability of a value being between a positive z-value and its population mean is indeed the same as that of a value being between a negative z-value and its population mean.

This is due to the symmetric nature of the normal distribution curve, where probabilities are mirrored around the mean.

This means that if we have a normal distribution with a mean of μ and a standard deviation of σ, the probability of a value falling between μ+zσ and μ is the same as the probability of a value falling between μ-zσ and μ.

This property of the normal distribution makes it easy to compute probabilities for any range of values, by transforming them into standard units using the z-score formula.

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Answer:

-105197.8

Step-by-step explanation:

4.42 × 10-104.2 × 1010 = -105197.8

Hope this helps!

Answer:

Answer should be 1/20

Step-by-step explanation:

Using substitution and graphical method, the solution to the linear equation (x, y) are (3, 9)

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables.

In this problem, we can either solve it via substitution method or graphical method.

y = 3x ...eq(i)

y = x + 6 ...eq(ii)

From equ(i)

y = 3x; put equation (i) into (ii)

3x = x + 6

collect like term

3x - x = 6

2x = 6

x = 3

Put x = 3 in either eq(i) or (ii)

y = x + 6

y = 3 + 6

y = 9

The solution to the linear equations (x, y) are (3. 9)

Plotting this on a graph, we would have the intersection at (3, 9)

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Answer:25

Step-by-step explanation:

If a pollster wishes to estimate the number of left-handed scientists. The sample that is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4% is: 176.71.

Using this formula to find the sample

n =Z²π (1-π) ÷ e²

Where:

n =sample size =?

Z =  Z -score for 95% confidence level =1.960

π = Population proportion = 0.08

e = Margin of error = 0.04

Let plug in the formula

n = 1.96² × 0.08 × (1 - 0.08) ÷ 0.04²

n =  3.8416× 0.08 × 0.92 ÷ 0.0016

n = 176.71

Therefore the sample is 176.71.

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Answer:

78%

Step-by-step explanation:

a percentage is equivalent to a number over 100.

43% is 43/100

72% is 72/100

87% is 87/100

etc.

to find the percentage of students who said their favorite color is red, we need to set up a cross-multiplication equation

390/500 = ?/100

390 times 100 is 39000

39000/500 = 78

78% of the students said their favorite color is red

give brainliest please!

hope this helps :)

Answer:

1+2i

Step-by-step explanation:

midpoint: (6 + -4)/2 + (-2 + 6)/2 i

               = 1+2i

Answer:

yes

Step-by-step explanation:

A surd is a radical which cannot be simplified

The only factors of 17 are 1 and 17, thus it is a prime number and cannot be simplified, so

\(\sqrt{17}\) is a surd

The linear function in the context of this problem is defined as follows:

y = 18 - 2x.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

When the input is of zero, the output is of 18, hence the intercept b is given as follows:

b = 18.

When the input increases by one, the output decreases by two, hence the slope m is given as follows:

m = -2.

Then the function is given as follows:

y = 18 - 2x.

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Gerard has encountered a problem with attrition in his study. Attrition refers to the loss of participants or subjects who leave a study before it is completed. It can occur for various reasons, such as illness, death, disinterest, loss of contact with the participants, or other factors.

In Gerard's study, 75 percent of the participants have dropped out. This level of attrition is particularly high and could cause problems with the validity and reliability of the study's findings. When a significant number of participants drop out of a study, it can create biases in the data that remain, which could make it challenging to generalize the findings to the larger population or come to valid conclusions.

Therefore, Gerard must address this issue and determine why such a high percentage of participants have dropped out. To ensure the accuracy of the findings, he may need to replace the missing participants or consider the potential reasons for their departure when analyzing the data.

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Answer:

360

Step-by-step explanation:

12in x 3feet=36

36in x 10 yard=360