The perimeter of a rectangular field is 70m and it's length is 15m longer than its breadth. The field is surrounded by a concrete path. Find the area of path.

The value of the triple integral is -16.

Triple integral is a mathematical concept used in calculus to calculate the volume of three-dimensional objects. It extends the concept of a single integral to functions of three variables and integrates over a region in three-dimensional space.

The triple integral of a function f(x, y, z) over a region E in three-dimensional space is denoted by:

∭E f(x, y, z) dV

We can set up the triple integral as follows:

∫∫∫ 16y dV

Where the limits of integration are:

0 ≤ x ≤ 2

0 ≤ y ≤ (2- \(x^2\)z)/(2y)

0 ≤ z ≤ 2/\(x^{2y\)

Note that the upper bound of integration for y is not a constant, but depends on both x and z.

Integrating with respect to y first, we get:

∫∫∫ 16y dV = ∫0^2 ∫\(0^(2-x^2z)/(2x)\)∫\(0^(2/x^2y) 16y dz dy dx\)

= ∫\(0^2\) ∫\(0^(2-x^2z)/(2x) 32/x dx dz\)

= ∫\(0^2\) [16(\(2-x^2z)/x^2\)] dz

= ∫\(0^2 (32/x^2 - 16z)\) dz

= 32∫\(0^2 x^-2 dx - 16\)∫\(0^2\)z dz

= 16 - 16(2)

= -16

Therefore, the value of the triple integral is -16.

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Answer:

When we say that an allele is "fixed," it means that a particular allele has reached a frequency of 100% in a population.

Step-by-step explanation:

Alleles are different forms of a gene that occupy the same position on homologous chromosomes. In a population, different alleles can exist for a specific gene. However, through various evolutionary processes such as natural selection, genetic drift, or gene flow, one allele may become predominant and eventually fixate within the population.

The fixation of an allele can occur through different mechanisms. For example, if a beneficial allele provides a selective advantage to individuals carrying it, it is more likely to increase in frequency and eventually become fixed in the population. On the other hand, genetic drift, which is the random change in allele frequencies due to chance events, can also lead to the fixation of an allele, especially in small populations.

Once an allele is fixed in a population, it means that all future generations will inherit that allele, and no alternative alleles will be present at that particular gene locus.

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Answer:

I think this diagram its 110° cause it's measure for ZJKL FOR (G6D)

I

Answer:

Cos C = adjecent/hypotenuse

Cos C = 14/50

divide the numerator and the denominator by 2

Cos C = 7/25

The answer is C

The answer would be 25 bags of cement to 100 bags of sand by dividing 100 by 4.

In this two-period consumption model, agents prioritize their utility derived from consumption (C) over both periods. The utility function is denoted by U(C) and reflects the satisfaction or happiness received from consuming goods or services. As there is no initial capital (K) or bonds (B), the agents only have a fixed labor supply (L) to generate income.

I can definitely help you with your question! Based on the information given, it appears that consumers have a limited time horizon of two periods, meaning they have to make decisions about their consumption in the short-term. Their instantaneous utility is denoted by U(C), where C represents consumption. Additionally, agents are supplying a fixed amount of labor L and do not have any initial bonds or capital. It's also worth noting that the discount factor is 0. In this scenario, consumers have to consider their present and future consumption when making decisions about how to allocate their resources.

Given that agents have no initial bonds or capital, they may be more limited in their ability to invest in future consumption. This could lead to a situation where they are unable to smooth out their consumption over the two periods, which could result in a decrease in overall utility. Additionally, the fact that the discount factor is 0 means that there is no preference for present consumption over future consumption, which could impact the decisions made by consumers. Overall, the limited time horizon and lack of initial bonds or capital could impact the decisions made by consumers in terms of their consumption. However, without knowing more about the specific values for U(C), L, and other factors, it's difficult to say how exactly this will play out in practice.

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2.3 : 2.2

3x : 5y and 7 : 11

3x : 5y

7 : 11

To find x:

3x = 7

x = 7/3 (Bring 3 over to 7 to divide)

x = 2.3 OR 2/1/3

To find y:

5y = 11

y = 11/5 (Bring 5 over to 11 to divide)

y = 2.2 OR 2/1/5

So,

x = 2.3

y = 2.2

Therefore, the answer is:

x : y = 2.3 : 2.2

Answer: A and D

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

Answer:

-0.5

Step-by-step explanation:

because each time your y axis increases it increases by -0.5

Answer:

s = 4.75

Step-by-step explanation:

s = ut + (1/2)at²

s = 10(1/2) + (1/2)(-2)(1/2)²

s = 5 - 1/4

s = 4.75

To maximize the number of units sold, the owner should spend $15,000 on television advertising (x) and $4,000 on newspaper advertising (y).

To find the values of x and y that maximize the number of units sold, we need to find the maximum value of the function N(x, y) = -0.1x² - 0.5y² + 3x + 4y + 400.

To determine the maximum, we can take partial derivatives of N(x, y) with respect to x and y, set them equal to zero, and solve the resulting equations.

First, let's calculate the partial derivatives:

∂N/∂x = -0.2x + 3

∂N/∂y = -y + 4

Setting these derivatives equal to zero, we have:

-0.2x + 3 = 0  

-0.2x = -3    

x = -3 / -0.2  

x = 15

-y + 4 = 0  

y = 4

Therefore, the critical point where both partial derivatives are zero is (x, y) = (15, 4).

To verify that this critical point is a maximum, we can calculate the second partial derivatives:

∂²N/∂x² = -0.2

∂²N/∂y² = -1

The second partial derivative test states that if the second derivative with respect to x (∂²N/∂x²) is negative and the second derivative with respect to y (∂²N/∂y²) is negative at the critical point, then it is a maximum.

In this case, ∂²N/∂x² = -0.2 < 0 and ∂²N/∂y² = -1 < 0, so the critical point (15, 4) is indeed a maximum.

Therefore, to maximize the number of units sold, the owner should spend $15,000 on television advertising (x) and $4,000 on newspaper advertising (y).

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The piece of salami, which is initially 750 g and the same length as the pepperoni, will weigh 650 g after cutting off a 100 g piece.

Initially, the pepperoni weighs 300 g and the salami weighs 750 g, both measuring 250 mm in length. If a 100 g piece is cut off the pepperoni, its weight will decrease to 300 g - 100 g = 200 g. However, the length remains the same.

Since the salami and pepperoni were the same length initially, cutting off a piece with the same length from the salami will result in a weight reduction of 100 g. Therefore, the new weight of the salami will be 750 g - 100 g = 650 g.

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Answer:

which ever answer is the largest number

Step-by-step explanation:

the bigger the number, the better accuracy

Answer:

n = - 3

Step-by-step explanation:

Slope line r: (5-1)/(3+1) = 4/4 = 1

Slope of the perpendicular line: -1

p=(-4,4)

y-intercept: 4 - (-1)(-4) = 4 - 4 = 0

y = -x

(3,n) x = 3 and y = n

n = - 3

The given numbers are $15, $15, $25, and $29. the median is $20. we need to arrange the numbers in order from smallest to largest.

The numbers in order are:

$15, $15, $25, $29

To find the median, we need to determine the middle number. Since there are an even number of numbers, we take the mean (average) of the two middle numbers. In this case, the two middle numbers are

$15 and $25.

So the median is the mean of $15 and $25 which is:The median is the middle number when the numbers are arranged in order from smallest to largest. In this case, there are four numbers. To find the median, we need to arrange them in order from smallest to largest:

$15, $15, $25, $29

The middle two numbers are

$15 and $25.

Since there are two of them, we take their mean (average) to find the median.

The mean of

$15 and $25 is ($15 + $25) / 2

= $20.

Therefore,

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Answer:

y=20

Step-by-step explanation:

Let's solve your equation step-by-step.

3y+21=81

Step 1: Subtract 21 from both sides.

3y+21−21=81−21

3y=60

Step 2: Divide both sides by 3.

3y/3  60/3

Answer:20

Answer:

y = 20

Step-by-step explanation:

3y + 21 = 81

    -21      -21         (21 cancels)

3y       =    60

/3               /3              (3 cancels)

         y = 20

Answer:

The equation that relates distance, rate, and time is

       d  =  rt

Step-by-step explanation:

Answer:

142 because 125 isn't an opinion.  

Step-by-step explanation:

i took the test

Answer:

1. is (18,4)

2. is (8,10)

3. (-9,-8)

4. (9,-8)

Step-by-step explanation:

i promise its right please give brainliest

Answer: 120

Step-by-step explanation: divide 24 by 5 to get 4.8 so its 4.8 minutes for one question

25 x 4.8 = 120

The only function on the real number line that is both even and odd is the constant zero function f(x) = 0.

A function is considered even if it satisfies the property f(x) = f(-x) for all x in its domain, and it is considered odd if it satisfies the property f(x) = -f(-x) for all x in its domain.

To find functions that are both even and odd, we need to find functions that satisfy both properties simultaneously.

Let's consider an even function f(x). By the property of even functions, we have f(x) = f(-x). Now, let's consider the property of odd functions. For an odd function f(x), we have f(x) = -f(-x).

Now, if a function is both even and odd, it should satisfy both properties simultaneously. Therefore, we can say that for a function to be both even and odd, it must satisfy the equations:

f(x) = f(-x) (even property)

f(x) = -f(-x) (odd property)

Let's solve these equations to find the functions that satisfy both properties.

From the first equation, we have f(x) = f(-x). This means that the function is even.

Now, let's substitute this result into the second equation:

f(x) = -f(-x)

Since f(x) is even, we can replace f(-x) with f(x):

f(x) = -f(x)

To simplify, we can multiply both sides by -1:

-f(x) = f(x)

Now, we can see that the only functions that satisfy this equation are functions where f(x) = 0. In other words, the only function that is both even and odd is the constant zero function f(x) = 0.

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Answer:

y = -5/4x -4

Answer:

The variable would stand for the number of weeks that she has left to pay.

Answer: 12

Step-by-step explanation:

Answer:

5.25 miles

Step-by-step explanation:

All you do is multiply 3/4 times 7 and it gives you the amount of miles that was ran in that week

The probability that a student who has an A is a male is 60%.

To find the probability that a student who has an A is a male, we need to calculate the ratio of the number of male students with an A to the total number of students with an A.

Given that there are 19 students in total, and 6 of them are female, we can determine that there are 19 - 6 = 13 male students. Out of these male students, 7 do not have an A. Therefore, the number of male students with an A is 13 - 7 = 6.

Now, we know that there are 10 students in total who have an A. Therefore, the probability that a student with an A is a male can be calculated as the ratio of the number of male students with an A to the total number of students with an A:

Probability = Number of male students with an A / Total number of students with an A

Probability = 6 / 10

Probability = 0.6 or 60%

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Answer: 549

Step-by-step explanation:

Given

The ratio of teens to adults is 9:3

The total number of people who voted is 732

let 9x be the no of teens and 3x be the no of adults such that their ratio is 9:3

So, we can  write

\(\Rightarrow 9x+3x=732\\\Rightarrow 12x=732\\\Rightarrow x=61\)

No of the teens were \(9x=9\times 61=549\)