Una superficie mide 400 cm de largo y 360 cm de ancho. Se quiere dividir en cuadrados que tengan la mayor área posible y que la medida de los lados sea un número natural. ¿Cuántos cuadrados habrá en el rectángulo?

Answer:

rocks. rocks everywhere means no where for trees so no foods.

Step-by-step explanation:

Answer:

Formula: length x width

Area: 51 km

Step-by-step explanation:

Area: length x width

Area: 17 x 3 = 51

Answer:

For the forumula its Area= LW (Length and width)

A= 51km

If you are trying to find the perimeter, it should be 40.

The  equation of the line is y =  x + 6.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

here, we have,

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

4x + y = 7 ( subtract 4x from both sides )

y = - 4x + 7 ← in slope- intercept form

with slope m = - 4

given a line with slope m then the slope of a line perpendicular to it is

= 1/-m  =1/ 4  

then,

y =  x/4 + c ← is the partial equation of the perpendicular line

to find c substitute )- 4, 5 ) into the partial equation

5 = - 1 + c ⇒ c = 5 + 1 = 6

hence, y =  x/4 + 6 ← equation of perpendicular line.

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The circumference of a circle of radius 5.7 cm is given as follows:

A. 11.4π cm

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The radius for this problem is given as follows:

r = 5.7 cm.

Hence the circumference of the circle is given as follows:

C = 2 x π x 5.7

C = 11.4 cm.

Meaning that option A is the correct option.

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The correct order for the rushing yards from least to greatest for the top 5 quarterbacks in the state is:
A) -20, -5, 10, 15, 40

The quarterback with the least rushing yards for that week had -20, followed by -5, then 10, 15, and the quarterback with the most rushing yards had 40. It's important to note that negative rushing yards can occur if a quarterback is sacked behind the line of scrimmage or loses yardage on a play. Therefore, it's not uncommon to see negative rushing yards for quarterbacks. The answer option A is the correct order because it starts with the lowest negative number and then goes in ascending order towards the highest positive number.

Option A is correct for the given question.

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A mathematical theorem is a statement that contains hypotheses, conclusions, and proofs.

Mathematics revolves around the theorems. A thorough proof is a specific kind of logical reasoning that has been used to demonstrate the truth of a claim, which is what a theorem is.

"When n is higher than 2, there are no pretty much the entire number answers to the problem xn + yn = zn." This equation, also referred to as "Fermat's Last Theorem," was presented for the first time by French scientist Pierre de Fick in 1637 and had baffled the world's greatest minds for further than three centuries.

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The fountain should be located at the coordinates (4,2). This is the midpoint of the line segment that connects the vertices a(-1,-1) and c(7,-1). It is also the same distance from b(4,4).

To find the location of the fountain, we first need to find the midpoint of the line segment connecting the vertices a(-1,-1) and c(7,-1). This midpoint is located at the coordinates (4,2). To verify that this is the correct location, we can calculate the distance between the midpoint and each vertex. To do this, we use the distance formula, which is d=√((x2-x1)2+(y2-y1)2). Using the coordinates for the midpoint (4,2) and the coordinates for vertex a(-1,-1), we get d=√((42-(-12))2+((22-(-12))2). This simplifies to d=√((52+52))=√(50)=7.07. We can repeat the same process for the midpoint and vertex b(4,4) and for the midpoint and vertex c(7,-1). In both cases, we find that the distance is 7.07, so the fountain should be built at the coordinates (4,2).

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Required polynomial in the form p(x) is: \(\[f(x)=\boxed{x^3-2x^2+4x-3+\frac{5}{x-1}}\]\)

We are given the following polynomial: \(\[f(x)=\frac{x^4-3x^3+2x^2-7x-2}{x-1}\]\)

To perform polynomial long division we divide the highest degree terms of the numerator and denominator. Then we write the quotient and remainder on top of each other and multiply the denominator of the original problem with the quotient to check if the answer is correct.

Let's start with the highest degree terms.

\(\[\begin{array}{r r c r r} &x^3 &-2x^2 &+4x &-3\\ \cline{2-5} x-1 & x^4 &-3x^3&+2x^2&-7x&-2 \\ & \underline{x^4} &-\underline{x^3} & & & \\ & & -2x^3 & +2x^2 & & \\ & & \underline{-2x^3} & +\underline{2x^2} & & \\ & & & 0x^2 & -7x & \\ & & & & -7x & +7 \\ & & & & \underline{-7x} & +\underline{7} \\ & & & & & \boxed{5} \\ \end{array}\]\)

Therefore, the required polynomial in the form p(x) is:\(\[f(x)=\boxed{x^3-2x^2+4x-3+\frac{5}{x-1}}\]\)

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Answer:

Answer is B.) y= x+1

Step-by-step explanation:

hope this helps

Answer:

It would be true

Answer:

X = 40.5 ( or ) 81/2

Step-by-step explanation:

See the answer in the attached picture

(a) We can say with 99% confidence that the true average number of kilometers an automobile is driven annually in Virginia is between 22,494.88 km and 24,505.12 km.

(b) We can assert with 99% confidence that the possible size of our error if we estimate the average number of kilometers driven by car owners in Virginia to be 23,500 kilometers per year is ±100.51 km. This means that we can expect our estimate to be off by no more than 100.51 km, 99% of the time.

What is mean?

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

(a) To construct a 99% confidence interval for the average number of kilometers an automobile is driven annually in Virginia, we can use the following formula:

CI = x ± z*(σ/√n)

Where x is the sample mean (23,500 km), σ is the population standard deviation (3,900 km), n is the sample size (100), and z is the critical value for the 99% confidence level (which can be obtained from a standard normal distribution table or calculator).

Using a calculator or a table, we find that the critical value for a 99% confidence level is z = 2.576.

Plugging in the values, we get:

CI = 23,500 ± 2.576*(3,900/√100)

CI = 23,500 ± 1,005.12

CI = (22,494.88, 24,505.12)

Therefore, we can say with 99% confidence that the true average number of kilometers an automobile is driven annually in Virginia is between 22,494.88 km and 24,505.12 km.

(b) To determine the possible size of our error if we estimate the average number of kilometers driven by car owners in Virginia to be 23,500 kilometers per year, we can use the margin of error formula:

ME = z*(σ/√n)

Where ME is the margin of error, z is the critical value for the 99% confidence level (2.576), σ is the population standard deviation (3,900 km), and n is the sample size (100).

Plugging in the values, we get:

ME = 2.576*(3,900/√100)

ME = 1,005.12/10

ME = 100.51

Therefore, we can assert with 99% confidence that the possible size of our error if we estimate the average number of kilometers driven by car owners in Virginia to be 23,500 kilometers per year is ±100.51 km. This means that we can expect our estimate to be off by no more than 100.51 km, 99% of the time.

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Answer:

(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28

Answer: -6y= -3x-9

Since the slope is -6

y will be -6y

and the rest is -9, -3x

Number of ways that the three gift certificates can be awarded = 13800 ways

There are a total of 25 people attended the charity benefit. There are three gift certificates: one gift certificate is in the amount of $100, the second is worth $25 and the third is worth $10.

Assume that no person receives more than one prize.

One of the 25 people can get gift certificate of $100.

⇒ 25 ways for $100 gift certificate.

Then remaining 24 people are considered for further counting.

One of the 24 people can get gift certificate of $25.

⇒ 24 ways for $25 gift certificate.

Now there are 23 people remained.

One of the 23 people can get the $10 gift certificate.

⇒ 23 ways for $10 gift certificate.

Therefore, Number of ways that the three gift certificates can be awarded = 25 x 24 x 23 = 13800 ways.

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Answer:

F(x)=-1x-5

Step-by-step explanation:

The line goes one down for every one to the right. and the line intersects at -5 on the y-axis.

Answer:

Your answer is \(\sqrt{157}\) or 12.5299640...

Step-by-step explanation:

\(A^{2} +B^{2} =C^{2} \\6^{2} +11^{2} = C^{2} \\C^{2} = 36+121\\C^{2} = 157\\C = \sqrt{157}\)

Hope this helps!

_________

\( \: \)

c² = 6² + 11²

c² = 36 + 121

c² = 157

c = √157

c = 12.5

Answer:

C

Step-by-step explanation:

Since every side of ΔABC is dilated by 3, or triple the size

We multiply every length of ΔABC by 3

But the length of DF and FG are already done for us but DG is not, which is essential to finding the answer

7 x 3 = 21

DG = 21

5/7 = 15/21

5 ÷ 7 = 0.71

15/21 = 0.71

5/7 = 15/21

Value of \(\boldsymbol{DG}\) in a triangle \(DFG\) is equal to \(\boldsymbol{21}\) inches. To understand the calculations, check below.

Two triangles are said to be similar if their sides are proportional and their angles are equal.

Triangles \(ABC,DFG\) are similar

\(\frac{AB}{DF}=\frac{BC}{FG}=\frac{AC}{DG}\)

\(\frac{5}{15}=\frac{7}{DG}\)

\(DG=21\) inches

So, value of \(DG\) is equal to \(\boldsymbol{21}\) inches

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Answer:

11

Step-by-step explanation:

55/5=11

hope it helps!

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

The distance, d, in feet from Kim t seconds after Max started riding his scooter is given by the equation d = st, where s is the constant speed at which Max is riding his scooter.

To find the distance, d, we need to multiply the speed, s, by the time, t. Since Max passes Kim at a constant speed, the distance he travels is directly proportional to the time elapsed.

Therefore, the equation d = st represents this relationship, where d is the distance, s is the speed, and t is the time.

The equation d = st allows us to calculate the distance, d, from Kim t seconds after Max started riding his scooter, provided we know the constant speed, s, at which Max is traveling. By multiplying the speed by the time, we can determine how far Max has traveled from Kim at any given moment. This equation assumes that Max maintains a constant speed throughout his journey and that the speed does not change.

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Answer:

The PC 5150 is sold anywhere from $50 - $500 I believe it is a reasonable price since it is an old item and does not work as well as the newer and better ones.

Hope this helped : )

The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

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The eigenvalues of a are 2, 2, 5, then a is invertible matrix .

The eigenvalues are 2, 2, 5.

(A) First check the matrix is certainly invertible.

The matrix is invertible when the product of eigenvalues does not equal to zero.

invertible of A = 2*2*5

invertible of A = 20 ≠ zero.

So the matrix is certainly invertible.

(B) Now we check the matrix is certainly diagonalizable.

We note that the eigen value 2 has an algebraic multiplicity of 2 (number of repetitions), but we are unsure if the accompanying eigen vectors likewise have a count of two (geometric multiplicity)

The sum of the algebraic multiplicities must equal the sum of the geometric multiplicities in order for A to be diagonalizable.

In this instance, there is no evidence to support the geometric multiplicity of the eigenvalue 2. Therefore, we are unable to affirm that A is diagonalizable

So A can not be diagonalizable.

(C) Now we check the matrix is certainly not diagonalizable.

If the homogeneous equation from (A-⋋I)x=0 when the eigen value ⋋=2 is substituted x+y+z=0, then the solution set is x=-k-m where y=k, z=m are the parameters.

So it can be written as

\(\left[\begin{array}{ccc}x\\y\\z\end{array}\right] = k\left[\begin{array}{ccc}-1\\1\\0\end{array}\right] + m \left[\begin{array}{ccc}-1\\0\\1\end{array}\right]\)

Putting k=1 and m=1, then the corresponding eigen vectors for ⋋=2 are  

\(\left[\begin{array}{ccc}-1\\1\\0\end{array}\right] , \left[\begin{array}{ccc}-1\\0\\1\end{array}\right]\)

So the geometric multiplicity of the eigen value ⋋=2 is 2.

The algebraic multiplicity = Geometric multiplicity we can see the given matrix A is diagonalizable.

So the statement is false.

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Answer:

241

Step-by-step explanation:

15th squared number = 225

4th squared number = 16

225 + 16 = 241

Given polygons a right triangle and an isosceles triangle sometimes be similar.

As given ,

Given polygons : A right triangle and isosceles triangle.

Polygon a right triangle and isosceles triangle never be similar.

Reason:

Therefore, given polygons a right triangle and an isosceles triangle sometimes be similar.

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Answer:

may be only two method of its question for slove