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The sum of two consecutive integers is no more than 209.

What is the larger of the two integers?

Answer:

12 + 15= 27/2 = 13.5 kg

Step-by-step explanation:

It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.

To find nonzero 2x2 matrices a and b such that ab=0, we need to find matrices a and b whose product is the zero matrix. A matrix multiplication is a combination of dot products between rows and columns of the two matrices. In order for the product of two matrices to be zero, one or both of the matrices must have a row of zeros or a column of zeros.

One way to construct such matrices is to set one of the matrices to have a row of zeros and the other to have a column of zeros. Let a be a matrix with a row of zeros and b be a matrix with a column of zeros, but with a nonzero entry in a different position. For example, we could choose:

a = [0 0; 1 0]

b = [0 1; 0 0]

Then, the product ab is:

ab = [0 0; 1 0] * [0 1; 0 0] = [0 0; 0 0]

So, we have found two nonzero 2x2 matrices a and b such that ab=0.

It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.

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Answer: 7546feet²

Step-by-step explanation:

Since the pen has 308 feet of fencing, this is the perimeter of the circular pen and we can get the raduus which goes thus:

Circumference of a circle = 2πr

2πr = 308

2 × 22/7 × r = 308

44/7 × r = 308

r = 308 × 7/44

r = 49

Therefore, area of the circular pen will be:

= πr²

= 22/7 × 49 × 49

= 7546feet²

The volume of the block is increasing at a rate of \(6 ft^3/hour\) at this time.

Space in three dimensions is quantified by volume. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or US customary units. Volume definition and length definition are connected.  

The area occupied inside an object's three-dimensional bounds is referred to as its volume. The item's capacity is another name for it. A three-dimensional object's volume, which is expressed in cubic metres, is the quantity of space it takes up.

Let's start by finding the formula for the volume of a cube with side length s:

V = \(s^3\)

Now, let's differentiate both sides with respect to time (t):

dV/dt = \(3s^2(ds/dt)\)

We know that ds/dt = 2 ft/hour, and when s = 1 ft, we have:

dV/dt = \(3(1^2)(2) = 6 ft^3/hour\)

Therefore, the volume of the block is increasing at a rate of \(6 ft^3/hour\) at this time.

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The correct statement regarding the center of mass of a composite body is that it is calculated as the sum of the product of the mass of each figure involved divided by the total mass of the object.

The centre of mass of a composite body is determined by multiplying the total mass of the object by the sum of the products of the masses of all the figures that make up the composite body. Since it may be calculated by straightforward addition and division, this method does not always require integration.

The centre of mass is determined by adding the masses of all the individual components of the composite body and dividing the result by the distance between each component's centroid and a coordinate axis placed on the item.

The center of mass and the center of gravity of a composite object are not necessarily the same. The center of gravity specifically refers to the point where the entire weight of the object can be considered to act, while the center of mass refers to the average position of the mass distribution. In a uniform gravitational field, the center of gravity coincides with the center of mass, but in other cases, they may differ.

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The value for x is 25.5 units.

What are the Basic Trigonometry Formulas?

Basic trigonometry formulas are used to find the relationship of trig ratios and the ratio of the corresponding sides of a right-angled triangle. There are basic 6 trigonometric ratios used in trigonometry, also called trigonometric functions- sine, cosine, secant, co-secant, tangent, and co-tangent, written as sin, cos, sec, csc, tan, cot in short.

We have,

Perpendicular side = 18

Hypotenuse side = x

θ = 90/2 = 45°

sinθ = Perpendicular side/Hypotenuse side

sinθ = 18 / x

sin(45°) = 18 / x

1/√2 = 18 / x

x = 18 *√2

x = 25.4558

x = 25.5

Hence, the value for x is 25.5 units.

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The addition of the given fractions ( 1/6 + 2/4 ) to its simplest fraction form is 2/3.

Given that;

1/6 + 2/4

First, multiply the denominators then cross-multiply nominators and denominators.

1/6 + 2/4 = ( (6×2) + ( 4×1 ) ) / 6 × 4

1/6 + 2/4 = ( 12 + 4 ) / 24

1/6 + 2/4 = 16 / 24

We simplify

1/6 + 2/4 = 16 / 24 = 2/3

Therefore the addition of the given fractions ( 1/6 + 2/4 ) to its simplest fraction form is 2/3.

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The factor of the polynomial is option (D) (2x+5)^2 is the correct answer.

In this question,

Factorization is the breaking or decomposition of an entity (i.e.,) a number, a matrix, or a polynomial into a product of another entity, or factors, which when multiplied together give the original number. Factorize an expression involves take out the greatest common factor (GCF) of all the terms.

The polynomial is \(4x^{2} +20x+25\)

The above polynomial can be factored as

⇒ \(4x^{2} +20x+25=0\)

⇒ \((2x)^{2}+2(2x)(5)+5^{2}\)

⇒ \((2x+5)^{2}\)

Hence we can conclude that the factor of the polynomial is option (D)(2x+5)^2 is the correct answer.

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Answer:

1680

Step-by-step explanation:

280 x 6 = 1680

Answer:

An elevator can hold up to about 2000 pounds of weight.The combined weight of everyone currently in the elevator is 1980 pounds. Write an inequality showing the possible amount of weight that can be added to the elevator. S can be your variable hope this helps.

The function \(f:V_1\rightarrow V_2\)  is one - one and onto and both the graphs are isomorphic. So, the statement is True.

In mathematics, two structures are said to be isomorphic if they have the same mathematical structure, even if their elements and operations may be named or represented differently. This means that they have the same pattern of relationships between their elements and that any statement that is true in one structure is also true in the other.

Isomorphism is a fundamental concept in many branches of mathematics, including abstract algebra, topology, and graph theory. It is often used to simplify problems by reducing them to a known isomorphic structure. For example, in graph theory, two graphs are isomorphic if they have the same number of vertices, edges, and connectivity, which allows one to study the properties of a graph by studying a simpler isomorphic graph.

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Complete Question:-

Consider the following pair of graphs: The graphs are isomorphic. (You must provide an answer before moving to the next part.) True or False

Answer:

she will leave a $1.80 tip

Step-by-step explanation:

you have to cross multiply you have 12 a whole total then a percentage of 15%oover100% so multiply 15x12divided by 100

According to the question on compute each of the following given as : (a) \(\(6\mathbf{a} = \langle 48, 30\rangle\)\) , (b) \(\(7\mathbf{b} = \langle -21, 42\rangle\)\((-2)\mathbf{a} = \langle -16, -10\rangle\)\) , (c) \(\(\|\mathbf{10a} + \mathbf{3b}\| \approx 96.56\)\)

(a) \(\(6\mathbf{a} = 6\langle 8, 5\rangle = \langle 6 \cdot 8, 6 \cdot 5\rangle = \langle 48, 30\rangle\)\)

b). \(\(7\mathbf{b} = 7\langle -3, 6\rangle = \langle 7 \cdot -3, 7 \cdot 6\rangle = \langle -21, 42\rangle\)\((-2)\mathbf{a} = -2\langle 8, 5\rangle = \langle -2 \cdot 8, -2 \cdot 5\rangle = \langle -16, -10\rangle\)\)

(c) \(\(\|\mathbf{10a} + \mathbf{3b}\|\) represents the magnitude (or length) of the vector \(\mathbf{10a} + \mathbf{3b}\).\)

First, calculate \(\(10\mathbf{a} = 10\langle 8, 5\rangle = \langle 10 \cdot 8, 10 \cdot 5\rangle = \langle 80, 50\rangle\)\)

Next, calculate \(\(3\mathbf{b} = 3\langle -3, 6\rangle = \langle 3 \cdot -3, 3 \cdot 6\rangle = \langle -9, 18\rangle\)\)

Now, compute the vector sum:

\(\(\mathbf{10a} + \mathbf{3b} = \langle 80, 50\rangle + \langle -9, 18\rangle = \langle 80 + (-9), 50 + 18\rangle = \langle 71, 68\rangle\)\)

Finally, calculate the magnitude:

\(\(\|\mathbf{10a} + \mathbf{3b}\| = \sqrt{71^2 + 68^2}\)\)

Using a calculator, the magnitude is approximately 96.56.

Therefore:

(a) \(\(6\mathbf{a} = \langle 48, 30\rangle\)\)

(b) \(\(7\mathbf{b} = \langle -21, 42\rangle\)\((-2)\mathbf{a} = \langle -16, -10\rangle\)\)

(c) \(\(\|\mathbf{10a} + \mathbf{3b}\| \approx 96.56\)\)

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The value of 2 divided by 3 is 0.67

From the question, we have the following parameters that can be used in our computation:

2 divided by 3

To start with, we need to represent the expression properly as a quotient

So, we have the following representation

2 divided by 3 = 2/3

Evaluate the quotient expression using a calculator

This gives

2 divided by 3 = 0.67

Hence, the solution to 2 divided by 3 is 0.67

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Answer:

∠ ABE = 46°

Step-by-step explanation:

Since BE bisects ∠ ABC , then

∠ EBC = ∠ ABE, substitute values

4x - 6 = 2x + 20 ( subtract 2x from both sides )

2x - 6 = 20 ( add 6 to both sides )

2x = 26 ( divide both sides by 2 )

x = 13

Thus

∠ ABE = 2x + 20 = 2(13) + 20 = 26 + 20 = 46°

Answer:

47

Step-by-step explanation:

7 plus 10 = 17, 17 plus 10, 27 and it goes on. pls give brainliest

Answer:

47

Step-by-step explanation:

10+10 ang bawat idadag sa bawat space

Answer:

Total earning last week = 225

Step-by-step explanation:

Given:

Earning per hour = 12 pesos

Deduct per late delivery = 15 pesos

Total number of hour = 25 hour

Total number of late delivery = 5

Find:

Total earning last week

Computation:

Total earning last week = (Total number of hour)(Earning per hour) - (Deduct per late delivery)(Total number of late delivery)

Total earning last week = (12)(25) - (15)(5)

Total earning last week = 300 - 75

Total earning last week = 225

Answer:

To find the limit of (x + x²)/(9 - 5x²) as x approaches infinity, we can divide both the numerator and denominator by the highest power of x, which is x²:

(x + x²)/(9 - 5x²) = (x²(1 + 1/x))/(x²(-5/ x² + 9/ x²))

Simplifying, we get:

(x²(1 + 1/x))/(x²(-5/ x² + 9/ x²)) = (1 + 1/x)/(-5/ x² + 9/ x²)

As x approaches infinity, both -5/x² and 9/x² approach zero, so we can evaluate the limit as:

lim (1 + 1/x)/(-5/ x² + 9/ x²) = lim (1 + 1/x)/(4/ x²)

Now we can apply l'Hospital's rule, taking the derivative of the numerator and denominator with respect to x:

lim (1 + 1/x)/(4/ x²) = lim (-1/x²)/(8/ x³) = lim (-x)/(8) = -∞

Therefore, the limit of (x + x²)/(9 - 5x²) as x approaches infinity is -∞.

Answer:

El saldo que el Sr. Rodríguez debe pagar cuando vence el pagaré es de $ 370

Step-by-step explanation:

Los parámetros dados del préstamo son;

El monto principal del préstamo, P = $ 675

La duración del préstamo, T = 8 meses = 2/3 años

La tasa de interés aplicada al préstamo, R = 10%

La cantidad que paga el Sr. Rodríguez en el segundo mes = $ 150

La cantidad que paga el Sr. Rodríguez en el cuarto mes = $ 200

Interés simple = P · R · T / 100 = 675 × 10 × 2/3/100 = 45

El interés simple del préstamo, I = $ 45

La cantidad total que el Sr. Rodríguez tiene que pagar, A = P + I = 675 + 45 = 720

La cantidad de reembolso que realiza el Sr. Rodríguez, R = 150 + 200 = 350

El saldo que debe pagar el señor Rodríguez, B = 720 - 350 = 370

El saldo que el señor Rodríguez debe pagar cuando el pagaré no vence, B = $ 370

Al vencerse el pagaré el señor Rodríguez deberá pagar $370.

Dado que el señor Rodríguez firma un pagaré por $675 a 8 meses de plazo y al 10%, si efectúa dos pagos antes del vencimiento, uno por $150 a los 2 meses, y otro por $200 a los 4 meses, para determinar cuál es el saldo que debe pagar al vencerse el pagaré se debe realizar el siguiente cálculo:

Por lo tanto, al vencerse el pagaré el señor Rodríguez deberá pagar $370.

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Answer:

I think that it is y= -2x +9

Step-by-step explanation:

I am sure about the slope but the y-intercept (9) might be wrong.

Answer: 4:5

Step-by-step explanation: The lowest form

Answer:

Step-by-step explanation:

4:5

The key here is to know place values

We can move from right to left and understand the place values.

• Right most "4" is place value of ones

• Moving left, "4" has place values tens

• Moving left, "2" has place value hundreds

• Again left, "8" has place value thousands

• Left, "4" has place value ten thousands

• Lastly (leftmost digit, 4), "4" has place value hundred thousands

Now,

The left-most pair of 4s have place value of:

hundred thousands and ten thousands, that means:

Also, now, let's look at right-most pair of 4s, they have place value of:

ones and tens, that means:

We have to figure out the relationship between 400,000 and 40,000 and also between 4 and 40.

We can simply see that 40 is 10 times the number 4.

Also, 400,000 is 10 times the number 40,000.

Hence, the value of one of the 4's is 10 times the value of the other 4's (IN BOTH THE PAIRS, leftmost pair and rightmost pair).

Answer:

  see attached

Step-by-step explanation:

For each listed root x=p as signified by f(p) = 0, the function has a factor (x-p). The given roots and the given end behavior tell us the factored form is ...

  f(x) = -(x +3)(x +1)(x -1)(x -3)

__

The graph is attached. It shows the function increasing at extreme left, crossing the x-axis at x=-3, and again at x=-1, x=1 and x=3. Since it crosses an even number of times, the right-side end behavior is "decreasing" toward negative infinity.

Answer:

Step-by-step explanation:

Odd numbers backwards - 9, 7, 5, 3

1 = -2+9=7

2 = -1+7=6

3 = 0+5=5

4 = 1 +3=4

Answer:

30 cubic feet

Step-by-step explanation:

Base of 10 sq ft x 3 ft = 30 cubic feet

To multiply two square matrices of random integers between 1 and 10 of different sizes, i.e., 250 x 250, 500 x 500, and 1000 x 1000, we can use nested loops and the C++ language.

Here is the solution:

#include

using namespace std;

int main(){

int m1[1001][1001], m2[1001][1001], m3[1001][1001];

int n; // size of matrix

cout << "Enter the size of matrix: ";

cin >> n;//filling matrix m1 and m2 with random integer values between 1 and 10

for(int i=1;i<=n;i++)

{for(int j=1;j<=n;j++){m1[i][j] = rand() % 10 + 1; //random value between 1 and 10

m2[i][j] = rand() % 10 + 1;}

} //multiplying two matrices

for(int i=1;i<=n;i++){

for(int j=1;j<=n;j++){

m3[i][j] = 0;

for(int k=1;k<=n;k++){

m3[i][j] += m1[i][k] * m2[k][j];

}

}

}

return 0;

}

Explanation: The first thing you have to do is to declare three matrices using the integer data type. These are m1, m2, and m3. m1 and m2 matrices are used to store the random integers between 1 and 10, and m3 is used to store the result of the multiplication of the two matrices. Next, you have to declare the size of the matrix using the integer data type and input it using the cin function. Then, using a nested loop, you can fill in the matrices m1 and m2 with random integers between 1 and 10 using the rand() function. To multiply two matrices using nested loops, the first outer loop iterates through the rows of the first matrix m1. The second outer loop iterates through the columns of the second matrix m2. The inner loop is used to compute the dot product of the row and column from the two matrices. The resulting value is stored in the matrix m3 using the same row and column as the corresponding values in the two matrices m1 and m2.

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8.

The weights of the cartons of raspberries picked by the students are:

To complete the table, on the first column you have to write each observed weight, those are: 1/4, 2/4, 3/4, and 4/4

Then, on the second column, you have to write one tally, for each box that has the said weight.

For example, for the weight 1/4 pounds, there are three boxes that weighed 1/4pounds, so you have to write three tallies.

For "2/4 pounds", there were 2 boxes that had this weight, so you have to write two tallies.

For "3/4" pounds, there were 3 boxes that had this weight, so you have to write three tallies.

For "4/4 pounds", there was only one box that measures this weight, so you have to write one tally.

For the number line, you have to make a "dot plot", below the line you have to write each possible weight: 1/4, 2/4, 3/4, and 4/4. Then you have to draw points above each weight, one for each box that measured the said weight:

9.

The heaviest box of raspberries weighed 4/4 pounds

The lightest box of raspberries weighed 1/4 pounds

To determine the difference between both of them you have to subtract 1/4 from 4/4:

The difference between the heaviest and the lightest boxes is 3/4 pounds.

10.

To determine the total pounds that the class picked, you have to add the weights of all cartons:

They picked 5 pounds of raspberries.

Answer:

the answer is 4 terms

Step-by-step explanation:

The algebraic expression 2y + 3x - 5x² - g consists of four terms. Each term is separated by the addition or subtraction operation. Therefore, the four terms in the expression are:

2y. .........term

3x. .......term

-5x². ........term

-g. ........term

Therefore, 4 terms in the expression