Find the length of EG

Answer:

its D    1  7/8 also which is 1R7

Step-by-step explanation:

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Answer:

small = 35 pounds

large = 45 pounds

Step-by-step explanation:

Let x = large boxes

y = small boxes

two equations can be derived from the question

x + y = 80  equation 1

60x + 65y = 4975 equation 2

multiply equation 1 by 60

60x +60y = 4800 equation 3

subtract equation 2 from 3

5y = 175

y = 35

substitute for y in equation 1

x + 35 = 80

x = 80 - 35

x = 45

Answer:

x = 3

y = 2

Step-by-step explanation:

Answer:

$7.55

Step-by-step explanation:

First, add the prices to get the grand total.

$20.95 + $11.50 = $32.45

Now, subtract that from the total that was paid.

$40.00-$32.45 = $7.55

The probability that exactly four of the six women consider themselves fans of professional baseball is 0.2907.

We are given that p, the proportion of women who consider themselves fans of professional baseball, is 0.37. Therefore, q = 1 - p = 0.63. We want to find the probability that exactly four of the six women consider themselves fans, which can be calculated using the binomial probability formula:

P(X = 4) = (6 choose 4) * p^4 * q^2

= (15) * (0.37)^4 * (0.63)^2

= 0.2907

Therefore, the probability that exactly four of the six women consider themselves fans of professional baseball is 0.2907.

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Identifying Eigenvalues and Eigenvectors, A should be a n x n matrix. By resolving the det(λI−A)=0 problem, first determine the eigenvalues of A. Find the fundamental solutions to (λI−A)X=0 to determine the fundamental eigenvectors X≠0 for each.

In linear algebra, a nonzero vector is said to have an eigenvector, or characteristic vector, when a linear transformation is applied to it; this characteristic vector only changes by a scalar amount. The scaling factor for the eigenvector is known as the associated eigenvalue, frequently represented by the symbol. Linear transformations are made intelligible by the usage of eigenvectors. Eigenvectors can be thought of as a non-directional stretching or compressing of an X-Y line chart. In mathematics, eigenvalues are regarded as the factor by which a transformation is stretched, whereas eigenvectors are the real non-zero eigenvalues that point in the direction stretched by the transformation. The direction of the transformation is negative if the eigenvalue is negative.

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True, it is possible for an integer linear program to have more than one optimal solution.

In an integer linear program, the objective is to optimize a linear objective function subject to linear constraints and integer variable restrictions. While it is common for linear programs to have a unique optimal solution, in the case of integer linear programs, it is possible to have multiple optimal solutions.

This occurs when there are multiple feasible solutions that achieve the same optimal objective value. In such cases, any of the feasible solutions that satisfy the optimality conditions can be considered optimal. Therefore, it is true that an integer linear program can have more than one optimal solution.


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Answer:

9

Step-by-step explanation:

Answer:

X intercept (-40,0)

Y intercept: (0, 15)

Step-by-step explanation:

Where the line meets on the x axis, the coordinate is -40, 0 which is the x intercept and as it is for the y intercept, it meets at 0,15

Answer:

57

Step-by-step explanation:

Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = -

$70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

Answer:

The range here is 85

Step-by-step explanation:

Here, we want to calculate the range of the data

Mathematically, the range is defined as the difference between the lowest value and the highest value in the dataset

From the given data points, the highest value is 189, while the lowest value is 104

So the range is the difference between the two which is;

189-104 = 85

Answer:

p = 61 degrees

Step-by-step explanation:

The sum of all angles that make up a striaght line is 180 degrees. To find p you just subtract the other angles from 180: 180 - 87 - 32 = 61.

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In estimating a population mean, an interval estimate is more likely to be correct than a point estimate. An interval estimate provides a range of values within which the true population mean is likely to fall, while a point estimate provides only a single value.

When estimating a population mean, using an interval estimate is more likely to be correct because it accounts for the uncertainty associated with the estimate. A point estimate, on the other hand, provides a single value that is assumed to represent the true population mean. However, due to sampling variability and potential errors in measurement, a point estimate is prone to error and may not accurately reflect the true population mean.

By using an interval estimate, which includes a range of values, we have a measure of uncertainty. The range is typically constructed based on a certain level of confidence, such as a 95% confidence interval. This means that if we were to repeat the sampling and estimation process many times, the true population mean would be expected to fall within the estimated interval in 95% of those repetitions.

The interval estimate takes into account the variability in the data and provides a more realistic representation of the true population mean. It provides a margin of error and acknowledges that the point estimate is just one possible value among many that could have been obtained through sampling.

Therefore, when estimating a population mean, an interval estimate is preferred because it not only provides a point estimate but also quantifies the uncertainty associated with that estimate, leading to a higher likelihood of being correct.

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Answer:

i think 480 total calories

Step-by-step explanation:

i wish it's true

After simplifying the percentage, if 120% of a is equal to 80% of b, then a+b is 5.

In the given equation,

If 120% of a is equal to 80% of b, then we have to find the value of a+b.

We firstly express the statement in the algebraic equation.

It is given in the statement that 120% of a.

We write it as 120%×a.

From the statement, 80% of b.

We write its as 80%×b.

Both are equal to each other.

So the expression should be

120%×a=80%×b

Divide by 12% on both side

120%/120% ×a=80%/120% ×b

Simplifying

a=80%/120% ×b

As we know that % means 100 but both number 80 and 120 have % sign. So the % sign emitted.

So a=80/120 ×b

Divide by b on both side

a/b=80/120 ×b/b

a/b=80/120

Simplifying the ration

a/b=2/3

Hence, the value of a=2 and b=3.

Now finding the value of a+b.

a+b = 2+3

a+b = 5

Hence, if 120% of a is equal to 80% of b, then a+b is 5.

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for the line that goes up - it cuts the y-axis at - 5  (p = -5)

when we take 2 points we go from one to the other by going to the right of 1 unit and going up of 3 units (slope m : 3/1)

=> y = 3x - 5

and

for the line which goes down - it cuts the y-axis in +2 (p=2)

when we take 2 points we go from one to the other by going to the right of 2 units and going down of 1 unit (slope m : -1/2)

=> y = -1/2x + 2

=> y + 1/2x = 2

2x + 4y = 8

=> B

Answer:

420 69x1.38 (122) 12344

The formula written in symbols as T =UN. Solve the formula for U.​

we have

T=U*N

solve for U

so

isolate the variable U

step 1

divide by N both sides

T/N=U*N/N

T/N=U

therefore

The rate at which the radius of the balloon is increasing after 2 minutes is 4.16 × 10⁻³

Given,

The constant rate at which helium is pumped into the spherical balloon, r = 5 ft.³/s

We have to find the rate at which the radius of the balloon is increasing after 2 minutes.

Here,

dV/dt = (dV/dr) × (dr/dt)

Then,

dr/dt = (dV/dt) / (dV/dr)

The volume of balloon after 2 minutes (120 seconds) V₁₂₀ ;

V₁₂₀  = 120 s × 5 ft.³/s = 600 ft.³

The radius of balloon after 2 minutes ;

V = 4/3 π r³

dV/dr = 4 π r²

r = \(\sqrt[2]{\frac{2}{4.\pi } V}\)

Then,

r₁₂₀ = \(\sqrt[2]{\frac{2}{4.\pi } 600}\) ≈ 9.77

dr/dt = (dV/dt) / (dV/dr) = 5 / 4π r²

At t = 2 minutes (120 seconds), r ≈ 9.77 feet

dr/dt ≈  5 / 4π 9.77² ≈ 4.16 × 10⁻³

That is,

The rate at which the radius of the balloon is increasing after 2 minutes is 4.16 × 10⁻³

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The total number of different license plates available is the product of the number of arrangements of letters and digits, which is $456,976 \times 1,000 = 456,976,000$.

To determine the number of different license plates available if the pattern consists of 4 letters followed by 3 digits, we need to calculate the total number of possible arrangements of letters and digits.

There are 26 letters in the alphabet, and we can choose any of them for the first letter, any of them for the second letter, and so on. For the first letter, there are 26 choices, and for the second letter, there are also 26 choices. We have 4 letters in total, so the total number of arrangements of letters is $26 \times 26 \times 26 \times 26 = 456,976$.

For the three digits that follow the letters, we have 10 choices for each digit. So the total number of arrangements of digits is $10 \times 10 \times 10 = 1,000$.

Therefore, the total number of different license plates available is the product of the number of arrangements of letters and digits, which is $456,976 \times 1,000 = 456,976,000$. So, there are 456,976,000 different license plates available with the given pattern.

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Answer:

the mean for the data set is 129.3

The calculation that estimates the primary macronutrient the body uses for energy at any given point in time is the Catabolic quotient.

The Catabolic quotient is used to show the amount of macronutrients that are being catabolized to produce energy at any given time.

This allows us to know how much macronutrients the body needs depending on the activities that a person is engaged in at the time. This is important for nutritional requirements as a result.

Options for this question are:

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Answer: 122°F

Step-by-step explanation:substitute 50°C anywhere in the formula that has the C

The answer is 10.

The value of a digit in a number is determined by its place value. In the number 2,573, the value of the digit 5 is 5 x 100 = 500. In the number 6,459, the value of the digit 5 is 5 x 1,000 = 5,000.

Therefore, the value of 5 in 6,459 is 5,000/500 = 10 times greater than the value of 5 in 2,573.

So, the answer is 10.

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The shape of the base of a right circular cylinder is circle.

What is right circular cylinder?

The definition of a right circular cylinder is a cylinder with a closed circular surface, two parallel bases on either end, and elements that are perpendicular to the base. Right cylinder is another name for it. The distance between each point on the closed circular surface of a right circular cylinder and the cylinder's axis, which is a straight line, is constant. The two circular bases of the right circular cylinder are parallel to one another and have the same radius. It is a certain geometric shape that is widely utilised in everyday life.

The diagram of a right circular cylinder is attached below and it can be observed that the base is circular in shape.

Hence, the shape of the base of a right circular cylinder is circle.

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Una caja de ahorros ofrece a sus clientes un interés simple del 8% anual por una imposición de 18.000 € durante 5 años. de los Interés es = 7,200 €

Interés = Principal × Tasa de interés × Tiempo

Dado que el principal es de 18.000 €, la tasa de interés es del 8% anual y el tiempo es de 5 años, podemos sustituir estos valores en la fórmula:

Interés = 18,000 € × 0.08 × 5

Interés = 7,200 €

Por lo tanto, el importe de los intereses generados en ese tiempo es de 7.200 €. Esto significa que al finalizar los 5 años, el cliente habrá obtenido 7.200 € adicionales como resultado de la imposición de 18.000 € con una tasa de interés del 8% anual. Es importante tener en cuenta que este cálculo se basa en la suposición de que el interés es simple y no se acumula ni se reinvierte.

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There are 11 letters in the word mathematics. The probability of selecting the letter "e" first is 1/11, which is approximately 0.091 in decimal form when rounded to the nearest thousandth.

This is because there is only one "e" in the word mathematics, and we are selecting one letter out of the 11 total letters.

To find the probability that the first letter is "e" in the word "mathematics," follow these steps:

1. Count the total number of letters in the word: There are 11 letters in "mathematics."

2. Count the occurrences of the letter "e": There is 1 "e" in "mathematics."

3. Calculate the probability: Divide the occurrences of "e" by the total number of letters.

Probability = (Occurrences of "e") / (Total number of letters) = 1 / 11

In decimal form and rounded to the nearest thousandth, the probability that the first letter is "e" in the word "mathematics" when arranged randomly is approximately 0.091.

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The value of SSE (sum squared error) is 40 in the given analysis of the variance problem if SST = 120 and SSR = 80. Option b is correct.

Here the words SSE means Sum Squared Error, SST means Sum of Squares Total and SSR means Sum of Square Regression.

In the SSE accuracy measure, errors are squared and then added. It is used when the data points are similar in magnitude.

The formula is SST = SSR + SSE ⇒ SSE = SST - SSR

The given values of the analysis of the variance problem are

SST = 120; SSR = 80

Then, the value of SSE = SST - SSR = 120 - 80 = 40

So, option b is correct.

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To differentiate F(y) = 1/ y^2 − 9 /y^4 (y + 5y^3), we need to use the quotient rule of differentiation. Your answer: F'(y) = -2y^(-3) - (12y^(-5) + 60y^(-2))(y + 5y^3)

The quotient rule states that the derivative of a quotient of functions is equal to the numerator's derivative multiplied by the denominator minus the denominator's derivative multiplied by the numerator, all divided by the denominator squared.

Using this rule, we can find the derivative of F(y) as follows:

F'(y) = [(d/dy) (1/ y^2) * (y^4(y + 5y^3)) - (d/dy) (y^4(y + 5y^3)) * (1/ y^2)] / (y^4(y + 5y^3))^2

Simplifying this expression, we get:

F'(y) = [(-2y^3(y + 5y^3))/(y^4(y + 5y^3))^2 - (y^4(1 + 15y^2))/(y^2(y^4(y + 5y^3))^2)]

= [(-2y^3(y + 5y^3)) - (y^4(1 + 15y^2))] / (y^6(y + 5y^3))^2

= (-2y^4 - 10y^6 - y^4 - 15y^6) / (y^6(y + 5y^3))^2

= (-3y^4 - 25y^6) / (y^6(y + 5y^3))^2

Therefore, the derivative of F(y) is F'(y) = (-3y^4 - 25y^6) / (y^6(y + 5y^3))^2.
To differentiate the function F(y) = 1/y^2 - 9/y^4 (y + 5y^3), you can apply the power rule and the chain rule.

Your answer: F'(y) = -2y^(-3) - (12y^(-5) + 60y^(-2))(y + 5y^3)

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