Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number Lauryn grew. Select all the expressions which represent the total number of tomato plants that Lauryn, Padma, and Kent grew.

p + (3p - 5) + (4p +6)

p + (5 - 3p) + (6 + 4p)

p + 11

8p + 1

7p - 1

PLEASE HELP!! IS MORE THAN ONE ANSWER!! WHOEVER GETS IT RIGHT GETS BRAINLYEST!!

Answer:

don't

Step-by-step explanation:

they suck, wait until you're older and they are more mature

guys under the age of 18 tend to be immature and annoying

Answer:

y =\(\sqrt{\frac{x+9}{3}\)

Step-by-step explanation:

y = 3\(x^{2}\) - 9

x = 3\(y^{2}\) - 9

x + 9 = 3\(y^{2}\)

x+9 / 3 = \(y^{2}\)

y =\(\sqrt{\frac{x+9}{3}\)

Answer:

Step-by-step explanation:

Note:

Circumference of a circle = \(\pi d\)

Where d = diameter

We are given the diameter is 20cm, d = 20

Circumference of circle = \(\pi d\) = 20 \(\pi\)

Also, perimeter of a rectangle = 2 times length + 2 times width

We are told the length = 18 , width = x

Perimeter of rectangle = 2 times 18 + 2 times x

Perimeter of rectangle = 36 + 2x

The question also tells us that the circumference of the circle is EQUAL to the perimeter of the rectangle:

So this means:

Since Circumference of circle = 20\(\pi\)  ,

Perimeter of rectangle = 36 + 2x .

We can write:

Circumference of circle = perimeter of rectangle

20\(\pi\)   = 36 + 2x

Subtract 36 from both sides

20\(\pi\) - 36   = 2x

Divide both sides by 2 to solve for "x".

x = \(\frac{20\pi - 36 }{2} = ?\)

Plug it into your calculator and then just round it to 1 decimal place.

Answer: 31 m/s

Step-by-step explanation:

70 miles per hour = 112654 meters per 3600 seconds = 31.3 = 31 m/s

William drove for 5 hours at an average speed of 54 mi/h.

For the first two hours, he drove at a speed of 45 mi/h.

William's average speed for the last three hours.

Let \(x\) represent the average speed for the last three hours (in mi/h).

The total distance traveled in the first two hours is \(\sf\:45 \, \text{mi/h} \times 2 \, \text{h} = 90 \, \text{miles} \\\).

The total distance traveled in 5 hours is \(\sf\:54 \, \text{mi/h} \times 5 \, \text{h} = 270 \, \text{miles} \\\).

The distance traveled in the last three hours is \(\sf\:270 \, \text{miles} - 90 \, \text{miles} = 180 \, \text{miles} \\\).

The average speed for the last three hours can be calculated as:

\(\sf\:\frac{\text{distance}}{\text{time}} = \frac{180 \, \text{mi}}{3 \, \text{h}} \\\)

Simplifying the expression:

\(\sf\:\frac{180}{3} = 60 \, \text{mi/h} \\\)

Therefore, the average speed for the last three hours is \(\sf\:\boxed{60 \, \text{mi/h}} \\\).

Answer:

Therefore, William's average speed for the last three hours was 60 mi/h, so the answer is (C) 60 mi/h.

Step-by-step explanation:

We can start by using the formula:

average speed = total distance / total time

We know that William drove for a total of 5 hours at an average speed of 54 mi/h, so the total distance he covered was:

total distance = average speed x total time

total distance = 54 mi/h x 5 h

total distance = 270 miles

We also know that for the first two hours, his speed was 45 mi/h. Therefore, he covered a distance of:

distance for first 2 hours = speed x time

distance for first 2 hours = 45 mi/h x 2 h

distance for first 2 hours = 90 miles

To find out the distance he covered for the last three hours, we can subtract the distance he covered in the first two hours from the total distance:

distance for last 3 hours = total distance - distance for first 2 hours

distance for last 3 hours = 270 miles - 90 miles

distance for last 3 hours = 180 miles

Finally, we can use the formula again to find his average speed for the last three hours:

average speed = distance for last 3 hours / time for last 3 hours

average speed = 180 miles / 3 hours

average speed = 60 mi/h

Answer:

Step-by-step explanation:

2x-3y=12

y=2/3x-4

In probability , 5148 possible flushes in poker.

What is probability in math?

there are C(13,5) 5-card hands… i.e.

the number of combinations of taking 5 cards from 13 distinct cards.

But, since there are 4 suits, there are then 4*C(13,5) possible “flushes.”

Thus, there are 4*1287=5148 possible flushes in poker.

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The equation value = mean + (#ofSTDEVs)(standard deviation) can be expressed for a sample and for a population.

For both a sample and a population, the formula value = mean + (#ofSTDEVs)(standard deviation) may be used. The calculation of the standard deviation for a sample vs a population does, however, differ slightly. The standard deviation is written as s for a sample and is determined using the following formula:

\(s = sqrt(sum((xi - x)^2) / (n - 1))\)

When n is the sample size, x is the sample mean, and xi represents each unique data point. When calculating the population standard deviation from a sample, the degrees of freedom are taken into account using the denominator (n - 1).

Thus,

value = mean + (#ofSTDEVs)(s)

\(σ = √sum((xi - μ)^2) / N)\)

value = mean + (#ofSTDEVs)(σ)

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Answer:

6

Step-by-step explanation:

im assume 6 because you just need to multiply them check tho

The OLS estimator of β1, denoted as βˆ1, is still unbiased. It is calculated using the formula:

βˆ1 = Σ(xi - x)(yi - y) / Σ(xi - x)^2 = Σ(xi - x)yi / Σ(xi - x)^2

Here, xi represents the ith observed value of the regressor x, x is the sample mean of x, yi is the ith observed value of the dependent variable y, and y is the sample mean of y. The expected value of the OLS estimator of β1 is given by:

E(βˆ1) = β1

Therefore, the OLS estimator of β1 remains unbiased.

The variance of the OLS estimator, denoted as Var(βˆ1|x), can be derived as follows:

Var(βˆ1|x) = Var{Σ(xi - x)yi / Σ(xi - x)^2|x} = 1 / Σ(xi - x)^2 * Σ(xi - x)^2 Var(yi|x) = σ^2 / Σ(xi - x)^2

In this problem, there is heteroscedasticity, which means that Var(ui|xi) is not constant.

To address the issue of heteroscedasticity, the Weighted Least Squares (WLS) estimator can be used. The WLS estimator assigns a weight of 1 / xi^2 to each observation i. The formula for the WLS estimator is:

βWLS = Σ(wi xi yi) / Σ(wi xi^2)

Here, wi represents the weight assigned to each observation.

The expected value of the WLS estimator, E(βWLS), is equal to the OLS estimator, βOLS, which means it is also unbiased for β1.

The variance of the WLS estimator, Var(βWLS), is given by:

Var(βWLS) = 1 / Σ(wi xi^2)

where wi = 1 / Var(ui|xi), taking into account the heteroscedasticity.

The WLS estimator is considered more efficient than the OLS estimator because it incorporates information about the heteroscedasticity of the errors.

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Answer:

x= 10 y=14 : 10 3 point, 14 5 point

Step-by-step explanation:

Write your equation down vertically,

3x + 5y = 100

 x + y   =  24

Next find multiply bottom equation by one number from the tops opposite,

3x + 5y = 100

(-3)x +(-3)y = (-3)24

3x + 5y = 100

-3x - 3y= -72

Add the two functions to isolate y

2y= 28 y=14

Plug y back into original and solve

3x +5(14) =100 --> 3x + 70 =100 --> 3x = 30 x=10

The slope of the line c is - 92.

The points via which the line b passes are:

(-20, 4) and (-21, 96).

The slope of the line is given by:

m = (y₂ - y₁) / (x₂ - x₁)

Slope of the line b passing through these points are:

m = (96 - 4) / (- 21 + 20)

m = (92) / (-1)

m = - 92

Since, line b is parallel to line c,

Slope of line b = slope of line c

So, the slope of line c is also:

m' = - 92

Therefore, we get that, the slope of the line c is - 92.

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If m is a nonzero integer, then m^(1/m) is not always greater than 1.

The statement is false.

To determine if m^(1/m) is greater than 1, we can consider different values of m. For positive values of m, such as m = 2, m^(1/m) = 2^(1/2) = √2, which is approximately 1.414 and greater than 1.

However, if we consider negative values of m, such as m = -2, m^(1/m) = (-2)^(1/(-2)) = (-2)^(-1/2), which is equal to 1/√(-2). Since the square root of a negative number is not defined in the real number system, the value of m^(1/m) is not defined for negative values of m.

Therefore, the statement that m^(1/m) is always greater than 1 for nonzero integers m is false.

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Options a, b, d, and g are the correct conditions for a Binomial Distribution.

The four conditions necessary for X to have a Binomial Distribution are:

a. There are n set trials: In a binomial distribution, the number of trials, denoted as "n," must be predetermined and fixed. Each trial is independent and represents a discrete event.

b. The trials must be independent: The outcomes of each trial must be independent of each other. This means that the outcome of one trial does not influence or affect the outcome of any other trial. The independence assumption ensures that the probability of success remains constant across all trials.

d. There can only be two outcomes, a success and a failure: In a binomial distribution, each trial can have only two possible outcomes. These outcomes are typically labeled as "success" and "failure," although they can represent any two mutually exclusive events. The probability of success is denoted as "p," and the probability of failure is denoted as "q," where q = 1 - p.

g. The probability of success, p, is constant from trial to trial: In a binomial distribution, the probability of success (p) remains constant throughout all trials. This means that the likelihood of the desired outcome occurring remains the same for each trial. The constant probability ensures consistency in the distribution.

The remaining options, c, e, and f, are not conditions necessary for a binomial distribution. Option c, "Continue sampling until you get a success," suggests a different type of distribution where the number of trials is not predetermined. Options e and f, "You must have at least 10 successes and 10 failures" and "The population must be at least 10x larger than the sample," are not specific conditions for a binomial distribution. The number of successes or failures and the size of the population relative to the sample size are not inherent requirements for a binomial distribution.

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Triangular prism is an example of a solid from which a triangular, hexagonal, and trapezoidal cross-section can be formed.

A triangular prism is a polyhedron that is made up of triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges to the vertex.

Some properties of a triangular prism:

Thus, triangular prism is an example of a solid from which a triangular, hexagonal, and trapezoidal cross-section can be formed.

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\(\tan 60^{\circ}~\text{equals y coordinate divided by x coordinate, where }(x,y) = \left(\dfrac 12, \dfrac{\sqrt 3}2 \right)\)

\(\tan 60^{\circ}\\\\= \dfrac yx \\\\\\=\dfrac{\sin 60^\circ}{\cos 60^\circ}\\\\\\=\dfrac{\tfrac{\sqrt 3}2}{\tfrac 12}\\\\\\=\dfrac{\sqrt 3}2 \times 2\\\\\\=\sqrt 3\)

This rule is enough

Now

Here A=60°

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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Answer:

4x-11

Step-by-step explanation:

1. Distribute

6x+21-2x-10

2. Subtract the same numbers

3. You have your answer.

Answer:4x+11

Step-by-step explanation:

Answer: 2/5

Step-by-step explanation: Find a number that both the numerator and denominator can be divided by that is the same for both. In this case, both can be divided by 3. That gives us 4/10. Now we do the same thing again, this time the number is 2. Dividing both by 2 gives us 2/5.

The simplest form of the fraction 12/30 is 2/5.

The given fraction is 12/30.

We have to simplify the fraction to simplest form.

To simplify the fraction 12/30 to its simplest form, we need to find the greatest common divisor (GCD) of the numerator and denominator and then divide both by the GCD.

The GCD of 12 and 30 is 6.

We can divide both the numerator (12) and denominator (30) by 6:

12 ÷ 6 = 2

30 ÷ 6 = 5

Therefore, the simplest form of 12/30 is 2/5.

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A 21-ft ladder is leaning against a building. if the base of the ladder is 9 ft from the base of the building, then the angle of elevation of the ladder will be: α = 71° .

From trigonometry we have:

cos α = 7/21

7 = 21 cos(α)

and:

α = arc cos(7/21) = 70.5 ≈ 71∘

The angle of elevation is the angle between the horizontal line of sight and the article.

Considering that, A 21-ft stepping stool is resting up against a structure. Assuming the foundation of the stepping stool is 9 ft from the foundation of the structure,

Subsequently, Angle of Elevation is x = 71° and the Level of stepping stool arriving at the wall = 21 ft .

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Answer:

8.95p-3.2q+8.7

Step-by-step explanation:

Answer:

8.95,    3.2,     8.7

Step-by-step explanation:

There is only one way 345 can be written as the sum of an increasing sequence of two or more consecutive positive integers. The correct answer is A) 1.

To find the number of ways 345 can be written as the sum of an increasing sequence of two or more consecutive positive integers, we need to consider the factors of 345.

First, let's find the prime factorization of 345: 345 = 3 * 5 * 23.

Now, let's focus on factor 23. Since the sequence needs to have at least two consecutive positive integers, the smallest possible sequence would be 23 and 24. We can see that any larger sequence would have a sum greater than 345.

Therefore, the only possible way to write 345 as the sum of an increasing sequence of two or more consecutive positive integers is 23 + 24.

Hence, the answer is option (a) 1.

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The given differential equation is y(6) - y'' = 0. To find the general solution, we need to solve the differential equation and express the solution in terms of a general form with arbitrary constants is  y(x)  = c1e^x + c2e^(-x)

The general solution of the differential equation y(6) - y'' = 0 is y(x) = c1e^x + c2e^(-x), where c1 and c2 are arbitrary constants.
Explanation: We start by assuming a solution of the form y(x) = e^(rx), where r is a constant. Taking the first and second derivatives of y(x), we have y' = re^(rx) and y'' = r^2e^(rx). Substituting these derivatives into the differential equation, we get:
e^(6r) - r^2e^(rx) = 0
Since e^(rx) is never zero, we can divide both sides by e^(rx):
1 - r^2 = 0
Solving for r, we have two possible solutions: r = 1 and r = -1. Therefore, the general solution of the differential equation is:y

   y(x)  = c1e^x + c2e^(-x),
where c1 and c2 are arbitrary constants that can be determined from initial conditions or additional information. This general solution represents the set of all possible solutions to the given differential equation.

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Answer:

9$

Step-by-step explanation:

The correct option is a) (-7, 3) which is the midpoint of the segment.

To find the midpoint of a segment, we need to use the midpoint formula:

Midpoint = ( \((x1 + x2)/2 , (y1 + y2)/2\) )

The midpoint of a segment is the point that lies exactly halfway between the two endpoints of the segment.

It is calculated using the midpoint formula, which involves finding the average of the x-coordinates and y-coordinates of the endpoints.

Using the coordinates given in the diagram, we can substitute them into the formula:

Midpoint = ( (-9 + 5)/2 , (3 + 3)/2 )

Midpoint = ( (-4)/2 , 6/2 )

Midpoint = ( -2 , 3 )

However, it means that if we were to draw a line segment connecting (-9, 3) and (5, 3), the midpoint would be exactly in the middle of that line.

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To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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The product of rational numbers can always be expressed as the ratio of two integers, where the denominator is not zero.

The product of rational numbers can always be written as a rational number. A rational number is defined as the quotient of two integers, where the denominator is not zero. When we multiply two rational numbers, we are essentially multiplying the numerators and denominators separately.

Let's consider two rational numbers, a/b and c/d, where a, b, c, and d are integers and b, d are not equal to zero. The product of these rational numbers is (a/b) * (c/d), which can be simplified as (a * c) / (b * d). Since multiplication of integers results in another integer, both the numerator and denominator are integers.

Furthermore, as long as the denominators b and d are not zero, the product remains a valid rational number.

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Without more information about the dimensions of the matrices involved, it is not possible to determine the values for the elements of the matrix z that represents the total text messages sent by sophomores, juniors, and seniors for a week using the matrix equation z = xy.

In general, the product of two matrices A and B is defined only if the number of columns in A is equal to the number of rows in B. If the dimensions of A are m x n, and the dimensions of B are n x p, then the resulting matrix C = AB will have dimensions m x p.

Therefore, we need to know the dimensions of the matrices x and y in order to determine the dimensions and values of the matrix z. Once we know the dimensions of x and y, we can use the matrix multiplication algorithm to calculate the elements of z.

Without this information, we cannot determine the values for the elements of the matrix z.

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Answer:

1.) 81

2.) 1/4

3.) 2.25

Step-by-step explanation:

divide in half then square it

Answer:

wut

Step-by-step explanation:

dat dont like like english