jameson plans to create a larger kennel by doubling the dimensions in the blueprint. how many times the perimeter of the original kennel is the
perimeter of the larger kennel?

Remi purchased approximately 150 pounds of pumpkins.

To find the number of pounds of pumpkins purchased by Remi, we can divide the total amount spent by the price per pound.

Let's assume that x represents the number of pounds of pumpkins purchased.

The total amount spent, $73.50, can be expressed as the product of the price per pound, $0.49, and the number of pounds purchased, x:

$73.50 = $0.49 × x

To solve for x, we divide both sides of the equation by $0.49:

x = $73.50 / $0.49 ≈ 150

Therefore, Remi purchased approximately 150 pounds of pumpkins.

By dividing the total amount spent by the price per pound, we found the quantity of pumpkins purchased.

In this case, Remi spent $73.50 and the price per pound was $0.49, resulting in the purchase of approximately 150 pounds of pumpkins. This information can be useful for budgeting, inventory management, and understanding consumer behavior at the local farm.

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Answer:

7.75

Step-by-step explanation:

7 is a whole so stays as such, 1/4 is 0.25 so 3/4 is 0.75

Answer:

The short rope is 7 ft long and the long piece is 21 ft long. I used my brain.

Step-by-step explanation:

omg what is the......................

Distance = rate x time

Distance = 17.25 x 200

Distance = 3,450 miles

Answer: the answer is 3450

Step-by-step explanation:

Answer:

She would earn $200 for working 10 hours

Step-by-step explanation:

100/5= $20 per hour

10hr multiplied by $20= $200

Answer:

$200 (read below for reasoning)

Step-by-step explanation:

Since 5x2 is 10, we can double both 5 and 100 to get the amount of money Tina will earn in 5 hours. Since 100x2 is 200, Tina will earn $200 in 10 hours. In other words, her wage would double. I hope this helps!

The data set that would most likely be classified as population data is "The heights of all male middle school students at a school."

Population data refers to a data set that includes information about an entire population, which means it covers all the individuals or elements of interest. In the given options, "The heights of all male middle school students at a school" is the most likely data set to be classified as population data.

The weight of some students on a sports team and the number of sodas consumed by 5 children at a school are examples of data sets that represent a subset or sample of the population rather than the entire population. They do not cover all individuals in the respective groups.

Similarly, the heights of twelve students in a class of forty students and the ages of some students at Platt College represent samples or subsets of the total population, as they do not include information about all individuals in the respective groups.

In contrast, "The heights of all male middle school students at a school" implies that the data set includes measurements for all male middle school students in the school, which aligns with the definition of population data.

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The three algorithms that compute the greatest common divisor of two integers, m and n is Euclidean algorithm, binary GCD algorithm, and the Lehmer algorithm.

The greatest common divisor (GCD) of two integers, m and n, is the largest integer that divides both m and n without leaving a remainder.

There are three algorithms for computing the GCD of two integers: Euclidean algorithm, binary GCD algorithm, and the Lehmer algorithm.

The Euclidean algorithm is an iterative algorithm that divides the larger number by the smaller number and then the result of the division by the remainder. This process is repeated until the remainder is 0. The last non-zero remainder is the GCD.

The binary GCD algorithm is a variation of the Euclidean algorithm that replaces divisions with bit shifting and subtraction. It is especially suitable for computing the GCD of very large numbers.

The Lehmer algorithm is a variation of the Euclidean algorithm that uses the previous remainders in order to speed up the computation. This algorithm works well when the numbers have many common factors.

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Answer:

AB = 6, BC = 6

AB = 4, AC = 4√2

BC = 2√2, AC = 4

(if im not wrong)

Answer:

Step-by-step explanation:

expressions dont have an equal sign but they have either a plus, minus, multiplying or dividing sign

Answer:

48

Step-by-step explanation:

a = bh

a = 6x 8 = 48

They throw the hypotenuse or the long side which in this case is 10in to try to throw people off. You don't need it in this problem.

Answer: 14.73091

Step-by-step explanation:

The square root of 217, (or root 217), is the number which when multiplied by itself gives the product as 217. Therefore, the square root of 217 = √217 = 14.730919862656235.

Answer:

-2.964

Step-by-step explanation:

the length of the side of this square is \(4\sqrt{2} \:or \:5.65\)cm

Answer:

Solutions Given:

let diagonal of square be AC: 8 cm

let each side be a.

As diagonal bisect square.

let it forms right angled triangle ABC .

Where diagonal AC is hypotenuse and a is their opposite side and base.

By using Pythagoras law

hypotenuse ²=opposite side²+base side²

8²=a²+a²

64=2a²

a²=\(\frac{64}{2}\)

a²=32

doing square root on both side

\(\sqrt{a²}=\sqrt{32}\)

a=±\(\sqrt{2*2*2*2*2}\)

a=±2*2\(\sqrt{2}\)

Since side of square is always positive so

a=4\(\sqrt{2}\) or 5.65 cm

Answer:

Given :

↠ The diagonal of a square is 8 cm.

To Find :

↠ The length of the side of square.

Using Formula :

Here is the formula to find the side of square if diagonal is given :

\(\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} \)

Where :

Solution :

Substituting the given value in the required formula :

\({\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}\)

\({\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}\)

\({\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}\)

\({\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}\)

\({\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}\)

\({\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}\)

Hence, the length of the side of square is 5.6 cm.

\(\underline{\rule{220pt}{3pt}}\)

To find the probability of getting 10 or more successes in a binomial experiment with p = 0.63 and n = 11 trials, we can use the cumulative probability function.

P(X ≥ 10) = 1 - P(X < 10)

Using a binomial probability formula, we can calculate the probability of getting exactly k successes:

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

where C(n, k) represents the binomial coefficient.

Let's calculate the probability for each value from 0 to 9 and subtract it from 1 to get the probability of 10 or more successes:

P(X < 10) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 9)

P(X < 10) = Σ[C(11, k) * p^k * (1 - p)^(11 - k)] for k = 0 to 9

Using this formula, we can calculate the probability:

P(X < 10) ≈ 0.121

Therefore, the probability of getting 10 or more successes in the binomial experiment is:

P(X ≥ 10) ≈ 1 - P(X < 10) ≈ 1 - 0.121 ≈ 0.879

Rounding to three decimal places, the probability is approximately 0.879.

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Alessia spent $5,408 on entertainment in 2021.

To determine how much Alessia spent on entertainment in 2021, we need to work backward from the given information about her salary in 2022.

Let's assume Alessia's salary in 2021 was the same as in 2022, which is $26,000 after tax.

Since Alessia spends 35% of her after-tax salary on rent, we can calculate her rent expenditure:

Rent = 35% × $26,000

= $9,100

The remaining amount is split between food, petrol, and entertainment in the ratio 6:11:8.

To determine the ratio's total parts, we sum the individual parts:

Total parts = 6 + 11 + 8 = 25

Next, we calculate the value of one part of the ratio:

One part = ($26,000 - $9,100) / 25

= $16,900 / 25

= $676

Now, we can calculate how much Alessia spent on entertainment in 2021, which is 8 parts of the ratio:

Entertainment expenditure = 8 × $676

= $5,408

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Answer:

Number 6 is b

Step-by-step explanation:

Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

Answer:

0.71, 78%, 0.8, \(\frac{7}{8}\)

Step-by-step explanation:

78% = 0.78

7/8 = 0.875

Answer:

The answer is 4,277,241

Step-by-step explanation:

I subtracted 283,651 from 4560892.

Answer:

4,277,241 is your correct answer

Step-by-step explanation:

Consider the given expression,

It is given that,

Substitute the values in the expression,

Thus, the value of the expression at the given values, is -384.

The Laplace Transform of the given function. is

L{5 + t^(3/4) - 6e^(-2t)sin(4t) + cos(t)e^(-2t)} = 5 + (3! / 4s^(7/4)) - (24(s + 2) / (s^2 + 16)) + (s / (s^2 + 4s + 5))

To determine the Laplace Transform of the given function, we'll apply the properties and formulas of Laplace Transform. Let's break down the given function into three terms:

Term 1: t^(3/4)

Using the property L{t^n} = n! / s^(n+1), where n is a positive integer, we have:

L{t^(3/4)} = (3/4)! / s^(3/4+1) = 3! / 4s^(7/4)

Term 2: -6e^(-2t)sin(4t)

We'll use the property L{e^(-at)f(t)} = F(s + a), where F(s) is the Laplace Transform of f(t).

Using this property, we have:

L{-6e^(-2t)sin(4t)} = -6 * L{sin(4t)}(s+2)

Now, using the property L{sin(at)} = a / (s^2 + a^2), we get:

L{sin(4t)} = 4 / (s^2 + 4^2) = 4 / (s^2 + 16)

Substituting this back into the equation:

L{-6e^(-2t)sin(4t)} = -6 * (4 / (s^2 + 16))(s + 2) = -24(s + 2) / (s^2 + 16)

Term 3: cos(2t/2)e^(-2t)

Simplifying the expression, we have:

L{cos(2t/2)e^(-2t)} = L{cos(t)e^(-2t)}

Using the property L{cos(at)} = s / (s^2 + a^2), we get:

L{cos(t)e^(-2t)} = s / (s^2 + 1^2 + 2s + 2^2) = s / (s^2 + 4s + 5)

Now, adding all the terms together, we have:

L{5 + t^(3/4) - 6e^(-2t)sin(4t) + cos(t)e^(-2t)} = 5 + (3! / 4s^(7/4)) - (24(s + 2) / (s^2 + 16)) + (s / (s^2 + 4s + 5))

This is the Laplace Transform of the given function.

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Answer:

151 in^3

Step-by-step explanation:

please find the image required to answer this question in the attached image

The rocket consists of two shapes - a cone and a cylinder

the volume of the plastic = volume of cone + volume of cylinder

volume of a cylinder = nr^2h

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

Radius = 5/2 = 2.5

Height of cone = 11 - 6 = 5

Volume of plastic = (22/7) x (2/5^2) x 6  + (1/3) x (22/7) x (2/5^2) x 5 = 117.9 + 32.7 = 150.6 in^3 = 151

To solve the problem, we can use the formula for compound interest:

A = P(1 + r/n)^(n*t)

where A is the final amount, P is the principal (initial deposit), r is the interest rate (as a decimal), n is the number of times interest is compounded per year, and t is the time (in years).

In this case, P = $8,100, r = 0.05, n = 1 (compounded annually), and t = 4. Plugging these values into the formula, we get:

A = $8,100(1 + 0.05/1)^(1*4)

A = $8,100(1.05)^4

A = $10,563.23

Therefore, Priscilla will earn $10,563.23 - $8,100 = $2,463.23 in interest over the next 4 years.

The algebraic expression for half of a number is x/2.

When we are working in algebra and we want to represent "a number", we use a variable for it.

We do this because "a number" can be any real number.

For example, we can say that a number is represented by the variable x.

Now, to write half of a number, we just need to divide our variable by 2, then we will get:

x/2

That is the algebraic expression.

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Answer:

7 1/3

Step-by-step explanation:

Answer:

16 ft²

Step-by-step explanation:

The complete question is attached.

A trapezoid is a quadrilateral (has four sides) with one a parallel base. The base angles and the diagonals of an isosceles trapezoid are equal.

The area of a trapezoid = [(sum of the parallel bases) / 2] * height of the trapezoid.

Given that the parallel bases are 3 ft and 5 ft, while the height of the trapezoid is 4 ft. Hence:

The area of a trapezoid = [(3 + 5)/2] * 4

The area of a trapezoid = 16 ft²

Answer:

Step-by-step explanation:

16

Answer: Reflection across the y-axis

Step-by-step explanation:

A reflection over a y-axis means that the original point (x, y) becomes (-x, y)

The original point (-2, 1) should become (-(-2), 1) which becomes just (2, 1).

(2, 1) is the reflected point hence it is a reflection across the y-axis