The smith family wants to fence their yard. the yard is 96 meters and 52 meters wide. how much fencing will they need?

Answer: what what! Confused

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Where the above conditions are given,  the correct option is: Plan 1 is a better deal for more than 5 cards purchased.

To determine   which pricing plan is a better deal,we need to compare the total cost for a certain number of game cards purchased.

Let's calculate the   total cost for different numbers  of game cards.

For Plan 1  -

- Admission fee  - $5 (fixed)

- Cost per game card  - $1

For Plan 2  -

- Admission fee  - $2.50 (fixed)

- Cost per game card  - $1.50

Now, let's compare the total cost for different numbers of game cards  -

1. If you purchase 1 game card  -

  - Plan 1  - $5 (admission fee) + $1 (cost per game card) = $6

  - Plan 2  - $2.50 (admission fee) + $1.50 (cost per game card) = $4

2. If you purchase 5 game cards  -

  - Plan 1  - $5 (admission fee) + $5 (cost for 5 game cards) = $10

  - Plan 2  - $2.50 (admission fee) + $7.50 (cost for 5 game cards) = $10

3. If you purchase 8 game cards  -

  - Plan 1  - $5 (admission fee) + $8 (cost for 8 game cards) = $13

  - Plan 2  - $2.50 (admission fee) + $12 (cost for 8 game cards) = $14.50

Based on these calculations, we can conclude that  -

- Plan 1 is a better deal for more than 5 cards purchased.

- Plan 2 is a better deal for more than 8 cards purchased.

Therefore, the correct option is  - Plan 1 is a better deal for more than 5 cards purchased.

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The sum of the 21 sums computed by John is 200.

To compute the sum of the elements of a two-element subset of {1, 2, 3, ..., 10}, we can simply add the two elements together. There are a total of 10C2 = 45 two-element subsets of {1, 2, 3, ..., 10}. We can pair these subsets up into 22 pairs, where each pair consists of two subsets that have the same sum (for example, {1, 2} and {8, 9} both have a sum of 3).

The sum of the elements in each pair of subsets is equal to the sum of the elements in the pair of subsets that has the maximum and minimum sums. For example, the sum of the elements in {1, 2} and {9, 10} is equal to the sum of the elements in {1, 10} and {2, 9}, which have the maximum and minimum sums, respectively. The sum of the elements in the pair of subsets that has the maximum and minimum sums is equal to 1 + 10 = 11. There are 11 pairs of subsets that have the same sum, so the sum of the 21 sums computed by John is equal to 11 * 21 = 231. However, we have counted each of the 45 two-element subsets twice, so we need to divide by 2 to get the final answer of 231/2 = 115.5, which we round to 200.

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The estimate of the maximum error is approximately 0.1375.

To estimate the maximum possible error resulting from rounding, we need to consider the rounding error for each individual number in the sample. Since the numbers are rounded to the first decimal place, the maximum possible rounding error for each number is 0.05.

To estimate the maximum error in the computed answer, we need to find the sum of the squares of the rounded numbers and compare it with the sum of the squares of the original numbers.

Let's denote the original numbers as\(x_1, x_2, ..., x_n\), and the rounded numbers as\(y_1, y_2, ..., y_n.\)

The maximum possible error can be estimated as follows:

Find the difference between the sum of the squares of the rounded numbers and the sum of the squares of the original numbers:

\(Δ = (y1^2 + y2^2 + ... + yn^2) - (x1^2 + x2^2 + ... + xn^2)\)

Since each rounded number has a maximum rounding error of 0.05, the difference for each number can be at most \(0.05^2 = 0.0025.\)

Since we have 55 numbers in the sample, the maximum possible error would be 55 * 0.0025 = 0.1375.

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Proving consistency involves demonstrating that a set of requirements can be met simultaneously, while proving inconsistency requires showing that there is at least one conflict or inconsistency. This fundamental difference in approach makes proving inconsistency an easier task than proving consistency.

In general, it is easier to show that a set of requirements is inconsistent rather than to prove that they are consistent because inconsistency requires only a single counterexample, while consistency requires showing that all possible combinations of requirements are compatible with each other.

To prove that a set of requirements is consistent, one needs to demonstrate that all of the requirements can be met simultaneously without any conflicts. This can be a challenging task, particularly when dealing with complex and interdependent requirements.

On the other hand, to show that a set of requirements is inconsistent, one only needs to find a single example where two or more requirements conflict with each other or cannot be met simultaneously. This can be a much simpler and more straightforward process, as it only requires finding a single problem rather than searching for a solution that satisfies all requirements.

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The free-flow speed is undefined.

To find the space-mean speed of traffic at capacity, we can use the fundamental relationship between flow, density, and speed:

Flow = Density x Speed

At capacity, the flow is equal to the capacity, which is given as 4200 veh/h. The jam density is given as 210 veh/mi.

To find the space-mean speed at capacity, we can rearrange the above equation as:

Speed = Flow / Density

So, the space-mean speed at capacity is:

Speed = 4200 veh/h / 210 veh/mi = 20 mi/h

Therefore, the space-mean speed of traffic at capacity is 20 miles per hour.

To find the free-flow speed, we can use the following relationship:

Free-flow speed = Capacity / Critical density

The critical density is defined as the density at which the speed of traffic drops to zero. At this point, the flow is zero, so the critical density is:

Critical density = 0 veh /mi

Therefore, the free-flow speed is:

Free-flow speed = 4200 veh/h / 0 veh/mi = undefined

As the critical density is zero, the free-flow speed is undefined. However, in practice, the free-flow speed is usually taken to be the speed of traffic under light or no congestion conditions. It is typically higher than the space-mean speed at capacity

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Answer:

the answer is 11.

if 16 inches of wire cost 48 cents your goal i to figure out how many inches of wire cots 33 cents to do so you have to find out how many cents each inch is. to do that you have to divide 48 by 16 and you get 3 so that mean that 1 inch costs 3 cents. after you figure that out you do 33 divided by 3 and you get 11. the answer is 11 inches costs 33 cents.

Step-by-step explanation:

The average rate of change of the function in this table is given as follows:

1.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function.

For this problem, we have that when the input x increases by one, the output y also increases by one, hence the average rate of change of the function in this table is given as follows:

1.

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Answer:

x=86

Step-by-step explanation:

we know that all the angles in a triangle add up to 180 degrees.

if you add 74+20, you get 94. then, subtract 94 from 180 to get 86! sorry if this is wrong i tried my best T^T

Answer:

Step-by-step explanation:

1. Write the question.

17 - 2x = -11

2. Subtract 17 from both sides

-17          -17

    - 2x = -28

3. Negatives cancel

      2x = 28

4. Divide both sides by 2

        /2     /2

        x = 14

5. Check the answer, write the equation.

17 - 2x = -11

6. Substitute x with the value

17 - 2(14) = -11

17 - 28 = -11

-11 = -11

The answer is correct!

Hope this helped,

Kavitha

The height of the cone is increasing at a rate of 16/9 units per second when the volume is 12 pi cubic units and the radius is 3 units.

To find the rate at which the radius is changing when the volume of the cone is 12 pi cubic units and the radius is 3 units, we can use related rates.

Given:
- Volume rate of change: dv/dt = 28 pi cubic units per second
- Radius: r = 3 units
- Volume: V = 12 pi cubic units
- Radius rate of change: dr/dt = 1/2 unit per second

We can use the formula for the volume of a cone: V = (1/3) pi r^2 h, where h is the height of the cone.

Since we only have the radius, we need to find the height in order to calculate the rate of change of the radius.

Given that the radius is 3 units, we can use the formula for the volume to solve for the height:
12 pi = (1/3) pi (3^2) h

Simplifying the equation, we get:
12 = (1/3) * 9 * h
h = 12 / (1/3 * 9)
h = 4

Now, we can differentiate the volume equation implicitly with respect to time (t) to find the relationship between the volume and radius rates of change:

dV/dt = (1/3) pi * (2r * dr/dt) * h + (1/3) pi * r^2 * dh/dt

Plugging in the given values:
28 pi = (1/3) pi * (2 * 3 * (1/2)) * 4 + (1/3) pi * (3^2) * dh/dt

Simplifying the equation, we get:
28 = 12 + 9 * dh/dt
dh/dt = (28 - 12) / 9
dh/dt = 16/9

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The interquartile range of the number of jumps of the 10 students during the competition is 38.

The interquartile range is the difference between the third quartile and the first quartile. The interquartile range is used to determine the variation of a data set.

Th first step is to determine the median of the first half of the dataset. The median of the first half is the first quartile.

First half of the data set: 30, 36, 38, 45, 57

Median = first quartile =  38

The next step is to determine the median of the second half of the dataset. The median of the second half is the third quartile.

Second half of the data set: 60, 77, 86, 88, 88

Median : third quartile =  86

Interquartile range = third quartile - first quartile

86 - 38 = 48

hence ,  interquartile range of the number of jumps of the 10 students during the competition is 38.

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The paid amount including service fee, tip, and tax is $77.987.

the percentage is value per hundred.

bill value = $59.99

service fee = 3% of  $59.99 = 59.99*3/100 = $1.7997

tip = 20% of 59.99 =  $11.998

tax = 7 % of $59.99 = $4.1993

total payment = 59.99+1.7997+11.998+4.1993 = $77.987

therefore, the paid amount including service fee, tip, and tax is $77.987.

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Answer:

Shama types at a constant rate she types 12 letters in 4 seconds what is the constant of proportionality for the relationship of letters to minutes

Answer choices

3

48

180

2,880

Help I need this answer fast I’m taking a test and I can’t fail 7th grade

Step-by-step explanation:

Shama types at a constant rate she types 12 letters in 4 seconds what is the constant of proportionality for the relationship of letters to minutes

Answer choices

3

48

180

2,880

Help I need this answer fast I’m taking a test and I can’t fail 7th grade

The constant of proportionality for the relationship of letters to minutes is 180.

Two set of quantities are said to be directly proportional or just simply proportional if the corresponding elements of these two sets has a constant ratio. This constant is called the proportionality constant or coefficient of proportionality.

We have the proportional relationship between letters typing and the time in minutes taken to type the letters.

Time taken by Shama to type 12 letters = 4 seconds

                                                                  = 4 / 60 minutes

                                                                  = 1/15 minutes

Proportionality constant can be found by taking the ratio of these quantities.

That is, proportionality constant = 12 / (1/15)

The fraction in the denominator will be taken to the numerator as the reciprocal and the operation changes into multiplication.

Proportionality constant = 12 × (15/1) = 180

Hence the proportionality constant for the relationship of the quantities letters and minutes is 180.

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The measure of the other acute angle in the right triangle is 90 - 2y

The given parameters in the question are:

Shape = right triangle

Acute angle = 2y

The measures of acute angles in a right triangle add up to 90

This can be represented mathematically as

Acute angle + Other angle = 90

Substitute the known values in the above equation, so, we have the following representation

2y + Other angle = 90

This gives

Other angle = 90 - 2y

Hence, the other angle is 90 - 2y

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Option D is the correct answer. all angles in a triangle are acute

A triangle in which all three internal angles of the triangle are acute is also called an acute-angled triangle.

Properties are Acute angles:

We have the formula to calculate the area of the acute angle triangle = (½) × b × h square units.

Where,

“b” is the base of the triangle.

“h” is to be the height of a triangle.

If the sides are given, then we have to apply Heron’s formula:

The area of the acute triangle:

A=√S(S-a)(S-b)(S-c)

square units

Where S defines the semi-perimeter of a triangle

The S can be solved by using the formula:

S = (a + b + c)/2

The perimeter of an acute triangle is equal to the sum of the length of the sides of a triangle,

The perimeter  is given as:

Perimeter = a + b + c

It is measured in units.

a, b, and c are the sides of the triangle.

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Answer:

x = -12 and x = 12.

Step-by-step explanation:

To solve for x, we need to take the square root of both sides of the equation:

x² = 144

√(x²) = √144

since sqaure root gives both positive and neagtive value, so

x = ±12

So the solutions for x are x = -12 and x = 12.

the two nonnegative real numbers with a sum of 34 that have the largest possible product are 17 and 17, resulting in a maximum product of 289.

To find two nonnegative real numbers with a sum of 34 that have the largest possible product, we can use the concept of maximizing the product given a fixed sum.

Let's denote the two numbers as x and y, where x and y are nonnegative real numbers.

We have the constraint that x + y = 34, and we want to maximize the product p = xy.

To solve this problem, we can use the following approach:

1. Express one variable in terms of the other using the given constraint. For example, we can express y in terms of x as y = 34 - x.

2. Substitute the expression for y in terms of x into the expression for the product p = xy to get a single-variable function for p in terms of x.

p = x(34 - x) = 34x - x^2

3. Determine the critical points of the function p(x) by finding where its derivative is zero or undefined.

To find the derivative of p(x), we differentiate p(x) with respect to x:

p'(x) = 34 - 2x

Setting p'(x) = 0 and solving for x gives us:

34 - 2x = 0

2x = 34

x = 17

4. Evaluate the value of p(x) at the critical points and the endpoints of the interval.

p(x) = 34x - x^2

When x = 0, p(0) = 34(0) - (0)^2 = 0

When x = 17, p(17) = 34(17) - (17)^2 = 289

5. Compare the values of p(x) at the critical points and endpoints to determine the maximum value of p(x).

From the calculations above, we can see that the maximum value of p(x) is 289, which occurs when x = 17 and y = 34 - x = 17.

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The reason is that the absolute value of a number discards the sign, so it can't be negative as the absolute value of a number is the distance of the number from zero.

Mean Absolute Error (MAE) is a measure of the difference between the predicted value and the actual value. It is calculated by taking the absolute value of the difference between each predicted value and the actual value, and then averaging the differences.

MAE is always positive because it is calculated using the absolute value of the errors, which always results in a positive value. The absolute value function removes the negative sign from any negative errors, so all errors are treated as positive. Therefore, the sum of all errors will always be positive regardless of whether the predicted values are greater or less than the actual values.

It's used in regression problems to measure how good the model is by comparing the actual value and the predicted value. Since MAE is a positive value, it gives a clear understanding of how far the predicted value is from the actual value, which helps to understand the model's performance.

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Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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Answer:

Third graph  does not represent a function.

Step-by-step explanation:

A function is a relation in which each element of the domain corresponds with exactly one element of the range. You could use the vertical line test to verify whether a given graph represents a function.  The vertical-line test states if a vertical line passes through more than one point on the graph of a relation, then the relation is not a function. A relation is a set of pairs of input (x values) and output (y values).

Looking at the third graph and conducting the vertical line test, you'll see that the vertical line will pass through more than one point on the graph of a relation.  

Below is a screen capture of the vertical line test I've done using the image you've provided. You'll see that given an x-value of 3, it has two corresponding y-values: 4 and -4.

Answer:

4*4*4, 64, 8^2, 2^6

Step-by-step explanation:

4^3=4*4*4

=64

4^3=2^(2*3)=2^6

=8^2

The vertical asymptote of the function that are illustrated in the calculus and the function y = 3cot(1/2x) - 4 will be:

B. x = 0

C. x = +-2π

It should be noted that the function that's given from the information illustrated is given as:

y = 3 for (x/2) - 4

It should be noted that there is no phase shift and the period is 2π.

It should be noted that the vertical asymptote will be x = 3πn where no is represented as the integer at n = 0, 1, and -1.

Therefore, the vertical asymptote of the function that are illustrated in the calculus and the function y = 3cot(1/2x) - 4 will be x = 0 and x = +2π.

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Answer: B AND C

Step-by-step explanation:

B AND C

if we solve for B

x^2=16

x=sqrt16

x=4

this is Aisha's answer

If we solve for C

x^2=64

x=sqrt64

x=8

this is Silvio's answer

Answer:

See Below.

Step-by-step explanation:

Remember that:

Where c is the longest side, and a and b are the two remaining sides.

\(4^2\text{ is }\textbf{ less than (or $<$) } 3^2+3^2\)

\(\text{Therefore, }\Delta JKL \text{ is }\textbf{an acute triangle.}\)

(16 is less than 9 + 9 or 18.)

\(5^2\text{ is } \textbf{equal to (or $=$) } 3^2+4^2\)

\(\text{Applying the same method, $\Delta ABC$ is }\textbf{ a right triangle.}\)

(25 is equal to 9 + 16 = 25.)

Answer:

less then

acute

equal to

right

Step-by-step explanation:

Answer and Step-by-step explanation:

To find the volume, simply multiply all the sides together.

0.5 × 0.5 × 1 = 0.25 is the answer.

#teamtrees #PAW (Plant And Water)

Answer: x = 13

Step-by-step explanation:

       To solve, we will isolate the variable.

Given:

3x − 2 = 37

Add 2 to both sides equation:

3x = 39

Divide both sides of the equation by 3"

x = 13