-3x+2y=16 5x-4y=-36 find the soultion to this system equation

Answer:

Based on the given polynomial, g(x) = 5x + 17x5, it is a polynomial of the sixth degree because it contains six terms (one constant term, one linear term, and one quintic term). Thus, another name for this polynomial is a sixth-degree polynomial.

Step-by-step explanation:

Answer: 1331

Step-by-step explanation: v=lwh

The volume would be 1,331 cm cubed. I hope this helps, have a good day!

5x + 6 = 2 + 3x

you start by getting rid of the variable on one side. i would subtract 3x that gives you 2x + 6 = 2

then you want to subtract 6 from both sides which looks like this 2x =  -4

you want x by itself, so you divide by 2

therefore, x = -2

you can check this by plugging it in

5 (-2) + 6 = -4

2 + 3 (-2) = -4

hope this helped! brainliest!

x²+ 12x + 1x + 12

x(x+12) + 1(x+12)

(X+1) (X+12)

a) The Θ-notation for 7n^3 + 10nlogn is Θ(n^3).

b) The Θ-notation for 3n^2 + 1000n^(1/2) is Θ(n^2).

c) The Θ-notation for n^100 + 2^n is Θ(2^n).

d) The Θ-notation for 7n + 8log_100n is Θ(n).

a) To prove that 7n^3 + 10nlogn = Θ(n^3), we need to show that there exist positive constants c1, c2, and n0 such that c1 * n^3 ≤ 7n^3 + 10nlogn ≤ c2 * n^3 for all n ≥ n0.

For the lower bound, we can choose c1 = 7 and n0 = 1. Then, for all n ≥ 1, we have c1 * n^3 = 7n^3 ≤ 7n^3 + 10nlogn.

For the upper bound, we can choose c2 = 17 (assuming logn ≥ 0 for all n ≥ 1) and n0 = 1. Then, for all n ≥ 1, we have 7n^3 + 10nlogn ≤ 7n^3 + 17n^3 = 24n^3 = c2 * n^3.

b) To prove that 3n^2 + 1000n^(1/2) = Θ(n^2), we need to show that there exist positive constants c1, c2, and n0 such that c1 * n^2 ≤ 3n^2 + 1000n^(1/2) ≤ c2 * n^2 for all n ≥ n0.

For the lower bound, we can choose c1 = 1 and n0 = 1. Then, for all n ≥ 1, we have c1 * n^2 = n^2 ≤ 3n^2 + 1000n^(1/2).

For the upper bound, we can choose c2 = 1004 (assuming n^(1/2) ≥ 0 for all n ≥ 1) and n0 = 1. Then, for all n ≥ 1, we have 3n^2 + 1000n^(1/2) ≤ 3n^2 + 1004n^2 = 1007n^2 = c2 * n^2.

c) To prove that n^100 + 2^n = Θ(2^n), we need to show that there exist positive constants c1, c2, and n0 such that c1 * 2^n ≤ n^100 + 2^n ≤ c2 * 2^n for all n ≥ n0.

For the lower bound, we can choose c1 = 1 and n0 = 1. Then, for all n ≥ 1, we have c1 * 2^n = 2^n ≤ n^100 + 2^n.

For the upper bound, we can choose c2 = 2 and n0 = 1. Then, for all n ≥ 1, we have n^100 + 2^n ≤ n^100 + 2^n = 2^n + 2^n = 2 * 2^n = c2 * 2^n.

d) To prove that 7n + 8log_100n = Θ(n), we need to show that there exist positive constants c1, c2, and n0 such that c1 * n ≤ 7n + 8log_100n ≤ c2 * n for all n ≥ n0.

For the lower bound, we can choose c1 = 1 and n0 = 1. Then, for all n ≥ 1, we have c1 * n = n ≤ 7n + 8log_100n.

For the upper bound, we can choose c2 = 15 (assuming log_100n ≥ 0 for all n ≥ 1) and n0 = 1. Then, for all n ≥ 1, we have 7n + 8log_100n ≤ 7n + 15n = 22n = c2 * n.

In each case, we have shown the existence of constants c1, c2, and n0 that satisfy the conditions for Θ-notation, thereby proving the statements.

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Answer:

C

Step-by-step explanation:

Just substitute the values of X into each equation until you get it

y=3.5(0)² - 9.5(0) +29

y=0-0+29

y=29

Therefore, the answer is C

The area of the rug cover in square foot is 1. 234

Conversion of units can be defined as the conversion between different units of measurement for the same quantity.

It is mostly done through the multiplicative conversion factors.

It is also known as a multi-step process that involves multiplication or division by a numerical factor.

Note;

1 square inch = 0. 00694 square foot

Then 178 square inch = x square foot

cross multiply

x = 0. 00694 × 178

x = 1. 234 square foot

The conversion of 178 inches square to square foot is  1. 234

Hence, the area of the rug cover in square foot is 1. 234

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Answer:

20

Step-by-step explanation:

\( \frac{20 \times 29}{29} = 20\)

Answer:

20X29 devided by 9+20=84.4444444444

Step-by-step explanation:

Simply graph the two equations....the intersection of the two graphs is the solution

Answer:

The two possible outcomes are 4 and -12, so 4

Step-by-step explanation:

The greatest value of x  is 4.

Factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number. When you split a number into its factors or divisors, that's factorization.

Given equation

⇒ \(x^{2} +8x-30 = 18\)

⇒ \(x^{2} +8x-30-18=0\)

⇒ \(x^{2} +8x-48=0\)

⇒ \(x^{2} +12x-4x-48=0\)

⇒ \(x(x+12)-4(x+12)=0\)

⇒ \((x+12)(x-4)=0\)

x = -12 and x = 4

Hence, the greatest value of x  is 4.

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Answer:

Use the information given to write an equation in standard form.  

Slope is -3, and (0, -4) is on the line.  

Step-by-step explanation:

By permutation without repetition, there are 524160 possible different special pizzas.

The possible special pizzas can be calculated with permutation without repetition. The formula of permutation without repetition can be written as

P = n! / (n - k)!

where P is all of the possible combinations, n is the number of objects or elements, and k is how many numbers should be chosen.

From the question above, we know that :

n = 16

k = 5

By substituting the parameters, we can determine all of the possible different pizzas

P = n! / (n - k)!

P = 16! / (16 - 5)!

P = 16! / 11!

P = 16 x 15 x 14 x 13 x 12 x 11! / 11!

P = 524160

Hence, there are 524160 possible different special pizzas

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Answer:

9 dollars and 45 cents

Step-by-step explanation:

First find the price of one folder.

$25.20 divided by 8 = $3.15

Then, multiply by 3.

$3.15 x 3 = $9.45

(I accidentally used 3.18 instead of 3.15. Someone corrected me.)

Answer:

25.20 divided by 8 = $3.15 x 3 = 9.45

Step-by-step explanation:

used a calculator, Hope this helps!

Answer:

$48.75

Step-by-step explanation:

195/4

Answer:

195 divided by 4 is 48.15 so 48.15

Step-by-step explanation:

The correct option is: A. Using the critical values of t = ±2.201 is more likely to lead to rejection of the null hypothesis than using the critical values of ±2.093.

When conducting a hypothesis test, the critical values represent the thresholds beyond which we reject the null hypothesis. A more "conservative" approach in hypothesis testing means being less likely to reject the null hypothesis when it is true. In this case, the critical values of t = ±2.201 are further away from the mean and have a larger absolute value compared to the critical values of ±2.093. This means that using the critical values of t = ±2.201 would require stronger evidence to reject the null hypothesis and is therefore more conservative.

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Answer: 10 pages

Step-by-step explanation:

The 1st is 6/10

Then 5/9, 4/8, 3/7, 2/6, 1/5

-----

It's the product:

= 6/10, 5/9, 4/8, 3/7, 2/6, 1/5

= 3/5, 5/9, 1/2, 3/7, 1/3, 1/5

= 1/210

Step-by-step explanation:

First, start with a diagram so you can 'see' the situation....I'll us a compass rose coordinate system ( see image below)

Vertical component of point C  ( which is the resultant displacement from A)

   900 sin(35) + 600 sin (130) = 975.845 km

Horizontal component  900 cos (35) + 600 cos (130) = 351.56 km

Using Pyhtagorean theorem   d = sqrt ( 975.845^2 + 351.56^2)  = 1037 km

    distance from A to C = 1037 km

Bearing of C from A = arctan ( 975.845/351.56) = 70 degrees

Given the probability of returning to McDonald's is 0.65 and the probability of returning to Harvey's is 0.85, to find the steady-state vector, follow these steps:Let x be the fraction of people who go to McDonald's, while y is the fraction of people who go to Harvey's.

The probability of returning to Mc-Donald's is 0.65, while the probability of switching from Har-vey's to McDo-nald's is (1 - 0.85) = 0.15.

The probability of returning to H-arvey's is 0.85, while the probability of switching from McDo-nald's to Harvey's is (1 - 0.65) = 0.35.

Then, we can write the following system of equations

X = 0.65X + 0.35YY = 0.15X + 0.85YExplanation:To solve for the steady-state vector, we'll use the concept of equilibrium.

In equilibrium, the fraction of people going to McDonald's must be equal to the fraction of people going to Harvey's.In equilibrium,X = Y

We can substitute X with Y in the first equation to obtain:Y = 0.65Y + 0.35YThis simplifies to:Y = 0.35Y/0.35 + 0.65Y/0.35= Y = 0.35Y + 1.86Y

Therefore, we can conclude that:Y = 0.65/2.21 = 0.294X = 0.35/2.21 = 0.158Finally, the steady-state vector is: [0.158, 0.294]

Summary: In this question, we're given the probability of returning to McDonald's and Harvey's and asked to find the steady-state vector. The steady-state vector is obtained by solving a system of equations where the fraction of people going to McDonald's is equal to the fraction of people going to Harvey's in equilibrium. The steady-state vector for this system of equations is [0.158, 0.294].

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First, we subtract 2x on each side.

Then, we subtract 12 on each side.

We sum 7x on each side.

Then, we add 8 on each side.

At last, we divide the equation by 36.

First, we use the distributive property.

Then, we subtract 8x on each side.

Now, we add 10 on each side.

At last, we divide the equation by -4.

Answer:

100 degrees

Step-by-step explanation:

The measure of angle T is 100 degrees.

All Quadrilaterals have unique properties that differentiate them from one another. Some of these properties include the sum of their interior angles, the length of their sides, the degree of their angles.

Quadrilaterals are a type of polygon that has four sides and four vertices. A polygon is defined as a two-dimensional shape that is made up of three or more straight sides. The following are some statements on quadrilaterals and their properties:All quadrilaterals are polygons with four sides

This statement is true because quadrilaterals are a type of polygon with four sides. Polygons are classified according to the number of sides they have.

All quadrilaterals are parallelograms with two pairs of parallel sidesThis statement is false. Not all quadrilaterals have two pairs of parallel sides. The parallelogram is a type of quadrilateral that has two pairs of parallel sides. Examples of parallelograms are rectangles, squares, and rhombi.All quadrilaterals are rectangles with four right anglesThis statement is false.

A rectangle is a type of quadrilateral that has four right angles, but not all quadrilaterals are rectangles. Examples of rectangles are squares and oblongs.All quadrilaterals are squares with four equal sidesThis statement is false. A square is a type of quadrilateral that has four equal sides and four right angles, but not all quadrilaterals are squares. Examples of squares are rhombuses.

All quadrilaterals have unique properties that differentiate them from one another. Some of these properties include the sum of their interior angles, the length of their sides, the degree of their angles, and the presence of parallel sides. The classification of quadrilaterals is an important concept in geometry as it allows for the proper identification of shapes and their properties.

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T is the linear transformation described by T(w,z) in L(C2). This indicates that the linear transformation T changes two-dimensional vectors of the type (w,z) to (-z,w).

To get T's eigenvalues, solve the equation T(v) = v, where is the eigenvalue and v is the eigenvector. By solving this equation, we discover that T's eigenvalues are λ1 = -1 and λ2 = 1.

For each eigenvalue, the associated eigenspaces are the subspaces of C2 that are spanned by the eigenvectors of T. The eigenspace is the subspace covered by the eigenvector λ1= -1 is (1,0). The eigenspace is the subspace spanned by the eigenvector λ2= 1 is (0,1).

As a result, the subspaces covered by (1,0) and (1,1) are the generalized eigenspaces corresponding to the different eigenvalues of T. (0,1).

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Descriptive statistics is a branch of statistics that deals with the collection, analysis, interpretation, and presentation of data. It focuses on summarizing and describing the characteristics of a sample or population. The purpose of descriptive statistics is to provide a clear and concise summary of the data, including measures of central tendency, variability, and distribution.

True,This information can be used to make inferences about the population as a whole. Therefore, descriptive statistics helps statisticians to better understand and interpret the population data.

False, Descriptive statistics is a branch of statistics that focuses on summarizing and organizing data from a sample or population. It provides insights into the basic features of the data, such as the mean, median, and standard deviation, but does not make inferences about the population.

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Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

The area of the region bounded by the parabola y=2-x^2, and the lines x-y=0 and 2x-y=0 is 2.667 square units.


To find the area, we set up a double integral over the given region. The region is bounded by the curves y=2-x^2, x-y=0, and 2x-y=0. We need to determine the limits of integration for x and y. The parabola intersects the x-axis at x=-2 and x=2.

The line x-y=0 intersects the parabola at x=-1 and x=1. The line 2x-y=0 intersects the parabola at x=-√2 and x=√2. Therefore, the limits for x are -√2 to √2, and the limits for y are x-y to 2-x^2. Integrating the constant 1 over these limits, we obtain the area as approximately 2.667 square units.

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Answer:

The first one

\( log_{11} \: (x)\)

Step-by-step explanation:

f(x) = 11^x

Here are the steps to find the inverse of a function:

1. Let f(x)=y

2. Make x the subject of formula.

3. Replace y by x.

\(11 {}^{x} = y \\ \: log(11 {}^{x} ) = log(y) \\ x log(11) = log(y) \\ x = \frac{ log(y) }{ log(11) } = log_{11}(y) \\ f {}^{ - 1} (x) = log_{11}(x) \)

The Laplace equation is defined as Au=0. The aim is to solve analytically Laplace's equation in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.

Let's consider the Laplace equation as followsAu = ∂²u/∂x² + ∂²u/∂y²= 0Given boundary conditions areu(x, 0) = 0u(0, y) = 0u(x, 1) = u(1, y) = 1The solution of the Laplace equation is as followsu(x,y) = X(x).Y(y)Let's find the boundary conditionsu(x, 0) = 0

Let's substitute the value of Y(0) in the solution to get X(x).Y(0) = 0, which implies Y(0) = 0Similarly, u(0, y) = 0 => X(0).Y(y) = 0 => X(0) = 0Now, let's find the remaining boundary conditionsu(x, 1) = 1X(x).Y(1) = 1 => Y(1) = 1/X(x)u(1, y) = 1 => X(1).Y(y) = 1 => X(1) = 1/Y(y)Now, let's put the values of X(0) and X(1) in the below equationX(0) = 0, X(1) = 1/Y(y)X(x) = x

Now, let's put the values of Y(0) and Y(1) in the below equationY(0) = 0, Y(1) = 1/X(x)Y(y) = sin(n.π.y) /sinh(n.π)Therefore, the solution of Laplace's equation u(x, y) is as follows;u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π)Answer:Therefore, the solution of Laplace's equation u(x, y) is u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π).

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Suppose a large population has mean μ and standard deviation σ, and a simple random sample of size n is taken. The sampling distribution of the sample mean has mean μ and variance σ²/n. So, the answer is the sampling distribution of the sample mean has mean μ and variance σ²/n.

The sampling distribution is a distribution of statistics acquired from numerous samples that are drawn from a population. This distribution offers the probability of obtaining the statistic of interest in repeated sampling, together with the probability of obtaining every different possible value of the statistic.

Sampling distribution of the mean In statistics, the sampling distribution of the mean is the distribution of the mean values of different samples drawn from the same population. The central limit theorem says that as the sample size increases, the sampling distribution of the mean approaches a normal distribution with mean equal to the population mean and variance equal to the population variance divided by the sample size.

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The area of the crust that will cover the top of the pie is 50.24 square inches.

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

The baking pan is in the shape of a circle.

The diameter of a baking pan = 8 inches

So, the radius of a baking pan,r = \(\frac{diameter}{2}\)

⇒ \(r=\frac{8}{2}\)

⇒ \(r=4\)

The area of the crust that will cover the top of the pie is

\(A=\pi r^{2}\)

we know that the value of π is 3.14.

On substitute the above values,

⇒ \(A=(3.14)(4)^{2}\)

⇒ \(A=(3.14)(16)\)

⇒ \(A=50.24\)

Hence we can conclude that the area of the crust that will cover the top of the pie is 50.24 square inches.

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