please help i am stuck with this problem please help

Step-by-step explanation:

4n² + 5n - 636

splitting the middle term

4n² + 53n - 48n - 636 = 0

n(4n + 53) - 12(4n + 53) = 0

(n - 12) (4n + 53) = 0

n = 12 and n = -53/4

Answer:

I can explain in 2 - 3 sentences why the interge,r -2, has a greater value than the integer, -5. In order to solve, 2 - 3, you SUBTRACT. The reason, -2, has a greater value than, -5, is because, -2, is a negative so, -2  is  bigger number than -5.

​

Step-by-step explanation:

slope is 2-4/2-1 = -2/1 = -2

equation:

y-2 = -2(x-2)

y = -2x + 6

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

which is an orthogonal matrix with the first row being a multiple of (3, 3, 0).

An orthogonal matrix is a square matrix whose columns and rows are orthonormal vectors, i.e., each column and row has unit length and is orthogonal to the other columns and rows.

Let's start by finding a vector that is orthogonal to (3, 3, 0). We can take the cross product of (3, 3, 0) and (0, 0, 1) to get such a vector:

(3, 3, 0) x (0, 0, 1) = (3*(-1), 3*(0), 3*(0)) = (-3, 0, 0)

Note that this vector has length 3, so we can divide it by 3 to get a unit vector:

(-3/3, 0/3, 0/3) = (-1, 0, 0)

So, the first row of the orthogonal matrix A can be (-3, 0, 0) or a multiple of it. For simplicity, we'll take it to be (-3, 0, 0).

To find the remaining two rows, we need to find two more orthonormal vectors that are orthogonal to each other and to (-3, 0, 0). One way to do this is to use the Gram-Schmidt process.

Let's start with the vector (0, 1, 0). We subtract its projection onto (-3, 0, 0) to get a vector that is orthogonal to (-3, 0, 0):

v1 = (0, 1, 0) - ((0, 1, 0) dot (-3, 0, 0)) / ||(-3, 0, 0)||^2 * (-3, 0, 0)

= (0, 1, 0) - 0 / 9 * (-3, 0, 0)

= (0, 1, 0)

We can then normalize this vector to get a unit vector:

v1' = (0, 1, 0) / ||(0, 1, 0)|| = (0, 1, 0)

So, the second row of the orthogonal matrix A is (0, 1, 0).

To find the third row, we take the cross product of (-3, 0, 0) and (0, 1, 0) to get a vector that is orthogonal to both:

(-3, 0, 0) x (0, 1, 0) = (0, 0, -3)

We normalize this vector to get a unit vector:

v2' = (0, 0, -3) / ||(0, 0, -3)|| = (0, 0, -1)

So, the third row of the orthogonal matrix A is (0, 0, -1).

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

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Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

Answer:

In my opinion it should be 3m - 5

Step-by-step explanation:

Answer:

=

10 − 2 7 - 3

Step-by-step explanation:

Using limits, it is found that the end behavior of the function is given as follows:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

The end behavior of a function f(x) is given by the limit of f(x) as x goes to infinity.

In this problem, the function is:

\(f(x) = \frac{8x - 1}{2x - 9}\)

Considering that x goes to infinity, for the limits, we consider only the terms with the highest exponents in the numerator and denominator, hence:

Hence the correct statement is:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

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Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

5000 to the power of 4

is too much for the calculator

and it will do this in return for asking this.

6.25e+14

Hope this helps! <3

Answer:

6.25^14

Step-by-step explanation:

Completely factorize the polynomial using any methods that are appropriate, then look for shared factors and the polynomial's roots. Next, double-check your work to confirm accuracy.

Follow these steps to determine a polynomial's factorization:

Completely factor the polynomial using any relevant techniques, including grouping, utilizing the difference of squares or cubes, or using the quadratic formula.

By multiplying them all together, you can verify that each factor is accurate. The final figure must match the initial polynomial.

Look for shared factors among the polynomial factors. If the polynomial has common components, remove them from the equation and rewrite it as the product of the common factors and the other factors.

The polynomial's roots can be verified by setting each factor to zero and calculating the variable. The roots ought to correspond to the original polynomial.

Verify your work a second time to make sure all relevant elements have been identified and taken into consideration.

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To find the differential equation for a family of curves, we need to find an equation that relates the variables involved in the curves. For example, consider the family of curves given by:

y = mx + c

where m and c are constants. To find the differential equation for this family of curves, we can take the derivative of both sides with respect to x:

dy/dx = m

This is the differential equation for the family of curves.

To find the family of orthogonal trajectories, we need to find a new family of curves that intersect the original family of curves at right angles. We can use the fact that the product of the slopes of two perpendicular lines is -1. So, if the differential equation for the original family of curves is:

dy/dx = f(x, y)

then the differential equation for the family of orthogonal trajectories is:

dy/dx = -1/f(x, y)

To find a specific orthogonal trajectory, we need to solve this differential equation for y as a function of x.

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The statement, "number of customers entering a store between "9am" and noon, is an example of a discrete-random-variable." is True because the number of customers are finite.

The "random-variable" "number of customers entering the store between 9am and noon" is considered as an example of a discrete random variable.

A "discrete" random variable is defined as a variable that can take on only a finite or countable number of values, where the values are usually integers.

In this case, the number of customers entering a store can only take on integer values (0, 1, 2, 3, etc.), and there is a finite limit to the number of customers who could potentially enter the store during that time period.

Therefore, the statement is True.

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a. f(v₁, v₂, v₃) = f₁(v₁) × f₂(v₂) × f₃(v₃) is the  joint pdf of (V₁, V₂, V₃).

b. The marginal pdf of V₂ is 1, indicating that V₂ is uniformly distributed between 0 and 1.

Given that Y₁, Y₂, Y₃, and Y₄ are order statistics of a random sample X₁, X₂, X₃, and X₄ from a uniform distribution U(0, θ), we know that the joint pdf of the order statistics is given by:

f(y₁, y₂, y₃, y₄) = n! / [(k₁ - 1)! × (k₂ - k₁ - 1)! × (k₃ - k₂ - 1)! × (n - k₃)!] × [1 / (θⁿ)],

where n is the sample size (n = 4 in this case), θ is the upper bound of the uniform distribution (θ in U(0, θ)), and k₁, k₂, k₃ are the orders of the order statistics (in ascending order).

Now, we need to determine the values of k₁, k₂, k₃ for the given V₁, V₂, V₃.

k₁ = 1 (as Y₁ is the smallest order statistic)

k₂ = 2 (as Y₂ is the second smallest order statistic)

k₃ = 3 (as Y₃ is the third smallest order statistic)

Now, we can express V₁ = Y₁/Y₂, V₂ = Y₂/Y₃, and V₃ = Y₃/Y₄ in terms of the order statistics:

V₁ = Y₁ / Y₂ = X₁ / X₂

V₂ = Y₂ / Y₃ = X₂ / X₃

V₃ = Y₃ / Y₄ = X₃ / X₄

Since X₁, X₂, X₃, and X₄ are independently and uniformly distributed between 0 and θ, the joint pdf of (V₁, V₂, V₃) can be expressed as the product of their individual pdfs:

f(v₁, v₂, v₃) = f₁(v₁) × f₂(v₂) × f₃(v₃),

where f₁(v₁) is the pdf of V₁, f₂(v₂) is the pdf of V₂, and f₃(v₃) is the pdf of V₃.

(b) To find the marginal pdf of V₂, we integrate the joint pdf f(v₁, v₂, v₃) over v₁ and v₃:

f₂(v₂) = ∫[0, ∞] ∫[0, ∞] f(v₁, v₂, v₃) dv₁ dv₃

Since we know the joint pdf f(v₁, v₂, v₃) is the product of the individual pdfs, we can write:

f₂(v₂) = ∫[0, ∞] ∫[0, ∞] f₁(v₁) × f₂(v₂) × f₃(v₃) dv₁ dv₃

Now, integrate the expression with respect to v₁ and v₃ over their respective domains (0 to ∞):

f₂(v₂) = ∫[0, ∞] f₁(v₁) dv₁ × ∫[0, ∞] f₃(v₃) dv₃

Since V₁ = X₁ / X₂ and V₃ = X₃ / X₄, we can express f₁(v₁) and f₃(v₃) in terms of the pdf of the uniform distribution:

f₁(v₁) = 1 / θ for 0 ≤ v₁ ≤ 1

f₃(v₃) = 1 / θ for 0 ≤ v₃ ≤ 1

Integrating over their respective domains:

∫[0, ∞] f₁(v₁) dv₁ = ∫[0, 1] (1 / θ) dv₁ = 1

∫[0, ∞] f₃(v₃) dv₃ = ∫[0, 1] (1 / θ) dv₃ = 1

Therefore, the marginal pdf of V₂ is:

f₂(v₂) = 1 × 1 = 1.

The marginal pdf of V₂ is a constant 1, indicating that V₂ is uniformly distributed between 0 and 1.

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Let Y₁ ​ ,Y₂ ​ ,Y₃ ​ ,Y₄ ​ be the order statitic of a U(0,θ) random ample X₁ ​, X₂ ​ ,X₃ ​ ,X₄ ​.

(a) Find the joint pdf of (V₁ ,V₂ ​ ,V₃ ​ ) , where V₁ ​ = Y₁/Y₂ ​ ​ ,V₂ ​ =Y₂/Y₃ ​ ​and V₃ ​ = Y₃/Y₄ ​ ​.

(b) Find the marginal pdf of V₂. ​

The domain of the relation R is the set of numbers from the domain of A that satisfy the relation, which is {2, 3, 5}. The range of the relation R is the set of numbers obtained by substituting the elements of the domain into the relation, which is {9, 11, 15}.

Given sets A = {2, 3, 5} and B = {6, 10, 15}, and the relation R defined as y = 2x + 5, we can determine the domain and range of the relation.

Domain: The domain of the relation R is the set of x-values for which the relation is defined. In this case, the x-values are taken from the set A. Therefore, the domain of R is {2, 3, 5}.

Range: The range of the relation R is the set of y-values obtained by substituting the elements of the domain into the relation. By substituting the elements of the domain into y = 2x + 5, we get the corresponding y-values: y = 2(2) + 5 = 9, y = 2(3) + 5 = 11, y = 2(5) + 5 = 15. Therefore, the range of R is {9, 11, 15}.

To summarize, the domain of the relation R is {2, 3, 5}, and the range of R is {9, 11, 15}.

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The maximum displacement of the tuning fork is 0.4 mm

The equation of the function is given as:

d = 0.4 sine (1760 pi t)

The above equation is a sine equation.

A sine equation is represented as:

f(t) = A sin(Bt + C) + D

Where A represents the maximum/amplitude

By comparison, we have:

A = 0.4

Hence, the maximum displacement of the tuning fork is 0.4 mm

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Answer:

0.4 mm

Step-by-step explanation:

The answer above is correct.

Answer:

The correct answer is D. Enough to feel rested.

According to the given information Ling has enough string to produce at least 20 bracelets.

Numbers serve the purpose of counting, measuring, organising, indexing, and other purposes. Natural numbers, whole numbers, rational and irrational numbers, integers, actual values, complex numbers, even and odd numbers, and so on are all distinct forms of numbers.

A number is really a numerical value that is used to express quantity. As a consequence, a number seems to be a mathematical idea that may be used to count, measure, and name objects. As little more than a result, numbers are the foundation of mathematics. Here is one butterfly, and here are four butterflies.

Each bracelet requires 7 1/2 inches of string. So, the total length of string required to make 20 bracelets is:

20 × 7 1/2 = 150 inches

Therefore, Ling needs to buy at least 150 inches of string.

We can write the inequality to represent this situation as:

length of string ≥ 150

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Answer:

The answer for a) is 2/5 and the answer for b) is 2/5.

Step-by-step explanation:

a) 8/20

then divide both numbers with 2 = 4/10.

again divide both numbers by 2 = 2/5.

So, the answer for (a) is 2/5.

b) 12/30

Again it can divide by 2 = 6/15.

now, you can divide both numbers with 3 = 2/5.

So, the answer for (b) is also 2/5.

This expression represents the same value as log2(3) but uses base 10 logarithms instead.

To rewrite log2(3) using the change of base formula, follow these steps:

1. Identify the given base, which is 2, and the argument, which is 3.

2. Choose a new base for the logarithm. Common choices are base 10 (common logarithm) or base e (natural logarithm). Let's use base 10 for this example.

3. Apply the change of base formula, which states: log_b(a) = log_c(a) / log_c(b), where b is the original base, a is the argument, and c is the new base.

So, to rewrite log2(3) using the change of base formula with base 10, you would get:

log2(3) = log10(3) / log10(2)

This expression represents the same value as log2(3) but uses base 10 logarithms instead.

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The the /ta/ sound is the sound which listeners are likely to report hearing. The option B is correct option.

According to the statement

we have given that the The voice onset time (vot) for the sound /da/ is 17 ms, and the vot for the sound /ta/ is 91 msec. and we have to find the sound which listeners are likely to report hearing.

So, For this purpose, we know that the

Traffic announcement (TA) refers to the broadcasting of a specific type of traffic report on the Radio Data System. It is generally used by motorists, to assist with route planning, and for the avoidance of traffic congestion.

And according to this and the voice onset time is

The brief instant that elapses between the initial movement of the speech organs as one begins to articulate a voiced speech sound and the vibration of the vocal cord.

And according to this

the /ta/ sound is the sound which is the like by the listeners are likely to report hearing.

So, The the /ta/ sound is the sound which listeners are likely to report hearing. The option B is correct option.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The voice onset time (VOT) for the sound /da/ is 17 ms, and the VOT for the sound /ta/ is 91 msec. When a computer produces a sound with a VOT of 65 msec, listeners are likely to report hearing

a. the /da/ sound

b. the /ta/ sound

c. the /ja/ sound

d. a combination of /ta/ and /da/

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The surface area of the given square pyramid is 56.25 square meters.

To find the surface area of a regular square pyramid, we need to calculate the areas of its individual components and sum them up.

First, let's find the area of the base. The base of the square pyramid is a square, so the area of the base is given by:

Area of the base = side length^2

Given that the length of the base is 4 and one-half meters (or 4.5 meters), we can calculate the area of the base as:

Area of the base = (4.5 meters)^2 = 20.25 square meters

Next, let's find the area of each triangular face. Since the pyramid is regular, all the triangular faces are congruent.

The area of a triangle can be calculated using the formula:

Area of a triangle = (1/2) × base × height

In this case, the base length of each triangular face is equal to the length of the base of the pyramid, which is 4.5 meters. The height of each triangular face is given as 4 meters.

Thus, the area of each triangular face is:

Area of each triangular face = (1/2) × (4.5 meters) × (4 meters) = 9 square meters

Since there are four triangular faces in a square pyramid, the total area of the triangular faces is:

Total area of the triangular faces = 4 × (Area of each triangular face) = 4 × 9 square meters = 36 square meters

Finally, we can find the surface area of the square pyramid by adding the area of the base and the total area of the triangular faces:

Surface area of the square pyramid = Area of the base + Total area of the triangular faces = 20.25 square meters + 36 square meters = 56.25 square meters

Therefore, the surface area of the given square pyramid is 56.25 square meters.

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Answer:

The price of a child ticket in dollars $8.00

Step-by-step explanation:

Answer: 1-squareroot of 11 (Nominator) over 2 (dominator), 1+ of 11 (Nominator) over 2 (dominator

Step-by-step explanation:

The solution to the system of linear equations using Gauss-Jordan elimination method is (x, y, z) = (2, -1, 1).

To solve the system of linear equations using the Gauss-Jordan elimination method, we start by writing the augmented matrix for the system:

[ 2  2  3  10 ]

[ 2  2  3  -2 ]

[ 0  1  3   2 ]

[ 4  0  1   0 ]

We perform row operations to transform the matrix into row-echelon form and then into reduced row-echelon form. The goal is to obtain a matrix where the leading coefficient of each row is 1 and all other entries in the column are zeros.

By performing the necessary row operations, we obtain the reduced row-echelon form of the augmented matrix:

[ 1  0  0  2 ]

[ 0  1  0 -1 ]

[ 0  0  1  1 ]

[ 0  0  0  0 ]

From the reduced row-echelon form, we can read off the values of x, y, and z as the entries in the last column. Therefore, the solution to the system of linear equations is (x, y, z) = (2, -1, 1).

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answered

There are 50 deer in a particular forest. The population is increasing at a rate of 15% per year. Which exponential growth function represents

the number of deer y in that forest after x months? Round to the nearest thousandth.

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Answer:

The expression that represents the number of deer in the forest is

y(x) = 50*(1.013)^x

Step-by-step explanation:

Assuming that the number of deer is "y" and the number of months is "x", then after the first month the number of deer is:

y(1) = 50*(1+ 0.15/12) = 50*(1.0125) = 50.625

y(2) = y(1)*(1.0125) = y(0)*(1.0125)² =51.258

y(3) = y(2)*(1.0125) = y(0)*(1.0125)³ = 51.898

This keeps going as the time goes on, so we can model this growth with the equation:

y(x) = 50*(1 - 0.15/12)^(x)

y(x) = 50*(1.013)^x

The exponential growth function that represents the number y of deer in that forest after x months is 50 × \((1.013)^{x}\).

An exponential function is a nonlinear function that has the form of

y=\(ab^{x}\),wherea≠0,b>0. An exponential function with a > 0 and b > 1, like the one above, represents an exponential growth and the graph of an exponential growth function rises from left to right.

There are 50 deer in a particular forest.

The population is  increasing at a rate of 15% per year.

Assuming that the number of deer is 'y' and the number of month is 'x' then after the first month the number of deer is

y(x) = 50 × \(1+(\frac{0.15}{12} )\)

= 50 × 1.0125

= 50.625

y(2) = y(1) × (1.0125)

= y(0) × \((1.0125)^{2}\)

= 51.258

y(3) = y(2) × (1.0125)

= y(0) × \((1.0125)^{2}\)

= 51.898

y(x) = 50 × \((1-\frac{0.15}{12} )^{x}\)

= 50 × \((1.013)^{x}\)

Hence, the exponential growth function that represents the number y of deer in that forest after x months is 50 × \((1.013)^{x}\).

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1. The ratio of shirts Pete pays for to all shirts is 1000.

2. Pete would pay Ana $8.33 for each shirt.

3. Pete would pay Jun $9600 for the shirt.

To determine what Pete would pay Ana for the shirts, we can use the "Buy 5, Get 1 Free" discount. The ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 (5 shirts paid, and 1 shirt received for free).

To fill in the statements:

1. The ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 of 1200 is ____.

To find the missing value, we can set up the following equation:

5/6 * 1200 = x

Solving for x, we have:

x = (5/6) * 1200 = 1000

So, the ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 of 1200 is 1000.

2. ___ × $10 = $

Pete pays $10 for each shirt. Since the ratio is 5:6, the missing value can be calculated as follows:

5/6 * $10 = $8.33 (rounded to two decimal places)

Therefore, Pete would pay Ana $8.33 for each shirt.

3. What would Pete pay Jun for the shirt?

Pete would pay Jun $8 for each shirt. Since Pete needs 1200 shirts, we can calculate the total amount he would pay Jun as follows:

1200 x $8 = $9600

Therefore, Pete would pay Jun $9600 for the shirts.

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Answer:

d= 4

Step-by-step explanation:

41 = 12d - 7

41 + 7 = 12d

48 = 12d

48 ÷ 12 = 12d ÷ 12

4 = d

Answer:

d = 4

Step-by-step explanation:

hope this helps

The area of the semicircle table after it is cut in half  \(=\frac{9}{2}\pi\) square units.

A semicircle is a 2 -D shape which is obtained by cutting a circle along with its diameter. a circle has 2 semicircles when it is cut along with its diameter.

The formula for finding the area of a semicircle is half of the area of a circle with the same radius.

area of semicircle = \(\frac{\pi r^{2} }{2}\) square units

Given:

A table with a round top is cut in half so now its shape is a semicircle.

After it is cut, the edge along the wall is 6 ft means that the diameter of the semicircle is = 6 ft

Diameter = 6 ft

Radius = diameter / 2

Radius = 6/ 2

Radius = 3 ft

Therefore now we can calculate the area of the table after it is cut in half

Area of the semicircle table after it is cut in half =

\(=\frac{\pi r^{2} }{2} \\=\frac{\pi 3^{2} }{2} \\=\frac{9\pi }{2}\\= \frac{9}{2}\pi\)

The area of the semicircle table after it is cut in half  \(=\frac{9}{2}\pi\) square units.

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A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6 feet. What is the area of the table after it is cut in half? Give your answer in terms of pi.

Answer:

=-3v-6

Step-by-step explanation:

Distribute:

=(−3)(v)+(−3)(1)+−3

=−3v+(−3)+(−3)

Combine like terms:

=(−3v)+(−3+(−3))

=−3v+−6

=-3v-6

Hope this helps, this was easy!