Find the product of (2x + 3) and (x + 5)

answer:

n=43

Step-by-step explanation:

Divide both sides by 7:

\(\frac{7n}{7}=\frac{301}{7}\)    

simplify: n=43

The x-intercept is (4, 0) and y-intercept is (0, 1200) for the equation y = -300x + 1200 and graph shown below.

The data are simply presented in a structured manner in the graph. It helps us understand the data better. The mathematical data accumulated through perception is alluded to as information.

The data or information is shown in a line graph by being connected to one another by a straight line, which is a series of markers or dots.

Given equation is:  y = -300x + 1200

For y-intercept we have to put, x=0

⇒ y = 1200

For x-intercept put, y= 0

⇒ 0 = -300x +1200

⇒ x= 4

Hence, the y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 )

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To solve a quadratic equation means to determine the values of x that are solution to such equation.

In the case of a quadratic equation you have two solutions for x.

Other two words for a solution of a quadratic equation, are roots and zeros of the equation.

To be effective, staff will need to perceive the change agent hired by the home health agency as credible, trustworthy, and capable of bringing positive change to the organization.

The success of any change initiative depends greatly on how the change agent is perceived by the staff. In this case, the expert in financial management needs to be seen as credible and trustworthy, both personally and professionally, by the members of the small community in which the home health agency operates.

Credibility is essential for the staff to have confidence in the change agent's knowledge and expertise in financial management. They need to believe that the expert has the necessary interest and qualifications to accurately evaluate the agency's financial situation and propose an effective plan to reverse the growing expenses and decreasing revenues.

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Any line perpendicular to it would have an undefined slope and would not pass through point (f, g) where f and g could be any values. In this case, the statement is false.

The statement "Leo drew a line that is perpendicular to the line shown on the grid and passes through the point (f, g)" can be true or false.

It depends on the line shown on the grid and the coordinates of point (f, g).

Two lines are perpendicular if their slopes are opposite reciprocals of each other.

To find the slope of the line perpendicular to the line shown on the grid,

we can use the negative reciprocal of the slope of the given line.

If the line drawn by Leo has this slope and passes through point (f, g), then the statement is true.

If not, then the statement is false.

For example, if the line shown on the grid has a slope of 2/3 and passes through the point (0,0),

then the perpendicular line drawn by Leo would have a slope of -3/2 and pass through point (f, g) where f and g could be any values.

In this case, the statement is true.

However, if the line shown on the grid has a slope of 0 and passes through point (1,1), then any line perpendicular to it would have an undefined slope and would not pass through point (f, g) where f and g could be any values. In this case, the statement is false.

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Answer:

y=4x-7

Step-by-step explanation:

Answer:

Step-by-step can u give a pic of qustion

Answer:

0.15

Step-by-step explanation:

Ok, so

Here we have this linear transformation as follows:

And we're going to translate the point A:

This is: (We replace the values of x and y of the point A in the transformation):

The point A translated will give us a new point B, which is (2 , 5) (After applying the transformation).

Now, let's find the distance between A (-2,3) and B (2,5).

Remember that the distance between two points:

Can be found applying the following formula:

Replacing our values:

Therefore, the distance between the points A and B, is √(20) units. (This is, approximately, 4.47)

Answer: The number of crates  needed to store all the toys the warehouse received = \(12^4= 20736\)

Step-by-step explanation:

Given: Total number of toys = \(12^7\)

Number of toys in one crate = \(12^3\)

The number of crates  needed to store all the toys the warehouse received.

= (Total number of toys) ÷ (Number of toys in one crate)

\(=12^7\div 12^3 = 12^{7-3}\ \ \ [a^m\div a^n=a^{m-n}]\\\\=12^4\)

Hence, the number of crates  needed to store all the toys the warehouse received = \(12^4= 20736\)

Answer:

12^4 or 20736

Step-by-step explanation:

Since the warehouse has 12^7 toys and you need to find how much crates that can fit 12^3 toys will store all the toys, you must divide 12^7 by 12^3.

When dividing radical expressions, remember:

a^3/a^2=a^1    This kind of acts like subtracting the squared number

a^3 * a^2 = a^5    This kind of acts like adding the squared number

(a^3)^2 = a^6    This kind of acts like multiplying the squared number

Therefore, if you use the methods above, 12^7 / 12^3 = 12^4

12^4= 20736

The output value of (gof)(2) is equal to -28

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations (multiplication) in simplified form as follows;

g(x) × f(x) = x² × (-5x + 3)

g(x) × f(x) = -5x³ + 3x²

Now, we can determine the output value of the composite function (gof)(2) as follows;

(gof)(x) = -5x³ + 3x²

(gof)(2) = -5(2)³ + 3(2)²

(gof)(2) = -40 + 12

(gof)(2) = -28

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Answer:

4 ...................

Step-by-step explanation:

hope the answer was helpful ......

Answer:

1024÷256=4

Step-by-step explanation:

hope u get that

Answer:

y=-3x+3

Step-by-step explanation:

Answer:

$12 discount

Step-by-step explanation:

$40x0.30=12

Let's analyze the two matrices given and determine any constraint equations at the vectors of their range, as well as discover a vector that generates the null space.

Matrix (A) is not invertible and Matrix (B) is invertible.

Matrix (A):

\(\left[\begin{array}{ccc}-1&-2\\-2&4\end{array}\right]\)

Give a constraint equation, if one exists, on the vectors in the range of the matrices in Exercise 5. 5. Give a vector, if one exists, that generates the null space of the follow- ing systems of equations for 'matrices

To find the constraint equation on the vectors within the range of this matrix, we are able to perform row operations to determine the row-echelon shape or reduced row-echelon form of the matrix. This technique can help us become aware of any linear relationships among the rows of the matrix.

Performing row operations on the matrix (A):

R2 = R2 + 2R1

The resulting matrix in row-echelon form is:

\(\left[\begin{array}{ccc}-1&-2\\0&0\end{array}\right]\)

From this row-echelon shape, we will see that there may be a constraint equation on the vectors within the range: the second row includes all zeros. This means that the second row is a linear mixture of the primary row.

In other words, any vector within the variety of this matrix ought to satisfy the equation -1x - 2y = 0 or y = -0.5x, where x and y represent the additives of the vectors in the range.

Now allow's circulate directly to the second matrix:

Matrix (B):

\(\left[\begin{array}{ccc}-4&-1&2\\2&5&1\\-2&3&-1\end{array}\right]\)

To discover a vector that generates the null area, we want to decide the solutions to the homogeneous machine of equations Ax = 0, wherein A is the coefficient matrix.

By appearing row operations on the matrix (B), we can reap its row-echelon shape:

R2 = R2 + 2R1

R3 = R3 - R1

The resulting row-echelon shape is:

-\(\left[\begin{array}{ccc}-4&-1&2\\0&0&5\\0&2&-3\end{array}\right]\)

The last row of the row-echelon form implies that 0x + 2y - 3z = 0 or 2y - 3z = 0. Thus, a vector that generates the null space of this matrix is [z, (3/2)z, z], where z is a loose variable.

Now, to determine which of these matrices are invertible, we can take a look at their determinant. If the determinant of a matrix is nonzero, then the matrix is invertible.

For Matrix (A):

Determinant = (-1)(four) - (-2)(-2) = 4 - 4= 0

Since the determinant of Matrix (A) is 0, it isn't invertible.

For Matrix (B):

Determinant = (-4)(5)(-3) + (-1)(2)(-2) + (2)(1)(2) = -60 + 4+ 4= -52

Since the determinant of Matrix (B) is not 0 (-52 ≠ 0), it's far invertible.

To summarize:

Matrix (A) has a constraint equation at the vectors in its range: y = -0.5x. Matrix (A) is not invertible.

Matrix (B) has a constraint equation on the vectors in its variety: None (considering that all rows are linearly unbiased). Matrix (B) is invertible.

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The correct question is:

"Give a constraint equation, if one exists, on the vectors in the range of the matrices in Exercise 5. 5. Give a vector, if one exists, that generates the null space of the follow- ing systems of equations for 'matrices. Which of these seven systems/matrices are invertible? (Consider the coefficient matrix and ignore the particular right-side values in parts)

Matrix A =  \(\left[\begin{array}{ccc}-1&-2\\-2&4\end{array}\right]\)  

Matrix B =  \(\left[\begin{array}{ccc}4&-1&2\\2&5&1\\2&3&-1\end{array}\right]\)"

Step-by-step explanation:

answers...................

Answer:

(a).

Area of circle:

=πr²

=6²×π

=36π

=113.0973355292...

=113.1 cm² (1 d.p.)

(b).

Volume of cylinder = πr²×height

1700=6²π×h

1700=113.1×h

1700÷113.1=h

15.0309460654=h

h=15.0cm (1 d.p.)

Answer:

A. No

Step-by-step explanation:

We know that the sum of the angles of a triangle is always equal to 180°. The sum of the angles of a triangle is not equal to 180° in this equation. Hence, we cannot form a triangle.

The algebraic expression for the particle's velocity vₓ at a later time t is v(t) = ct²/2m +v₀ₓ.

Given that,

c = speed of light

t = time

v₀ₓ = initial velocity of particle

m = mass of particle

Velocity and acceleration are related through time. Acceleration is the rate of change of velocity, which is represented graphically as the slope of the velocity vs. time line. Velocity can be represented as the area underneath an acceleration vs. time line.

Newton's second law declares that an object having mass m will accelerate due to a net force (F) will accelerate at a rate of:

α = F/m

Therefore, the function that describes the acceleration at any point in time of the particle is:

α(t)=ct/m

The velocity function is the integral of the acceleration function, so we get:

v(t)= ∫ct/m dt

= ct²/2m +C

where the constant C is the initial velocity of the particle at time t=0. Therefore, the velocity function representing the velocity at any point in time is:

v(t) = ct²/2m +v₀ₓ

Therefore, the algebraic expression for the particle's velocity vₓ at a later time t is v(t) = ct²/2m +v₀ₓ.

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Answer:

No Solution

Step-by-step explanation:

There are no values of  x  that make the equation true.

Answer:

23.6588236

Step-by-step explanation:

also 24

Answer:

To find the value of w, you can use the slope formula:

slope = (y2 - y1) / (x2 - x1)

In this case, (x1, y1) = (-9, w) and (x2, y2) = (5, 9). Plugging these values into the formula gives:

slope = (9 - w) / (5 - (-9))

Simplifying this expression gives:

slope = (9 - w) / 14

Since the slope is 1, we can set this expression equal to 1 and solve for w:

1 = (9 - w) / 14

14 = 9 - w

w = 9 - 14

w = -5

Therefore, the value of w is -5.

The probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is 0.2461.

Option C is correct

The probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is given by the binomial probability formula:

P(X = k) = (n choose k) \(* p^k * (1-p)^(n-k)\)

where X is the random variable representing the number of heads, n is the total number of coin flips, k is the number of heads obtained, and p is the probability of getting a head on any individual flip.

Since we are assuming that the coin is fair, p = 0.5. Let's say you flipped the coin n times and obtained k heads. Then the probability of obtaining exactly k heads with a fair coin is:

P(X = k) = (n choose k \(* 0.5^k * ()1-0.5)^(n-k)\)

We don't know what n or k are, so we can't compute the exact probability. However, we can use the fact that the coin is fair to get an estimate. If we assume that the number of heads obtained is roughly half of the total number of flips, then k = n/2. Plugging this into the formula, we get:

\(P(X = n/2) = (n choose n/2) * 0.5^(n/2) * (1-0.5)^(n/2)\)

Simplifying this expression, we get:

\(P(X = n/2) = (n choose n/2) * 0.5^n\)

Now, we want to find the probability of obtaining exactly as many heads as we just obtained. Let's say we flipped the coin 10 times and obtained 5 heads. Then we want to find P(X = 5), which is:

P(X = 5) = (10 choose 5) \(* 0.5^5 * (1-0.5)^(10-5)\) = 0.2461

Therefore, the probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is 0.2461.

Option C is correct

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Answer:

undefined

Step-by-step explanation:

Since the x value is the same, it looks like the slope is undefined.

Answer:  The slope is undefined

Step-by-step explanation:

Find the difference in the y coordinates and divide it by the difference in the x coordinates

y coordinates : 5 - 8 = -3  

x coordinates: -10 -(-10) = 0  

slope:  -3/0 = 0  

Answer:

$7.50

Step-by-step explanation:

The area of the sector OAB of the circle is 9 square meters

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

Using the above as a guide, we have the following:

Sector area = central angle/360 * Circle area

Substitute the known values in the above equation, so, we have the following representation

Sector area = 45/360 * 72

Evaluate

Sector area = 9

Hence, the area of the sector is 9 square meters

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The number of hours the first person worked on the car is 5, while the number of hours for which the second person working on the car is 10.

An equation is formed when two equal expressions are equated so that the value of a variable can be found.

Let the number of hours for which the first person worked on the car is x

In order to solve the problem, we will make two equations. Now, since we know that the total number of hours for which the two-person worked on the car is 15, therefore, we can write it as,

\(x+y =15\)

The amount charged by the first person is $85 per hour, while the amount charged by the second person is $120, and the total cost of the two is $1450 combined. therefore, the total cost can be written as

\(85x+120y = 1450\)

As we got the two-equation solving the two-equation, to get our answer.

In the first equation, we will isolate y, in order to get the value of y in terms of x,

\(x+y = 15\\y = 15-x\)

As we got the value of y, substitute the value in the second equation,

\(85x+120(15-x) = 1450\\85x+1800 - 15x = 1450\\70x = 350\\x = 5\)

As we have the value of x, substitute the value in the first equation,

\(x+y=15\\(5)+y=15\\y=10\)

Hence, the number of hours the first person worked on the car is 5, while the number of hours for which the second person working on the car is 10.

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If a die is rolled 3 times, there are 216 possible outcomes.

We have,

When a die is rolled once, there are 6 possible outcomes, since the die has 6 sides numbered from 1 to 6.

When it is rolled twice, each of the 6 possible outcomes on the first roll can be paired with each of the 6 possible outcomes on the second roll, resulting in a total of:

= 6 x 6

= 36 possible outcomes.

When it is rolled thrice, each of the 6 possible outcomes on the first roll can be paired with each of the 6 possible outcomes on the second roll, and each of these pairs can be paired with each of the 6 possible outcomes on the third roll, resulting in a total of:

= 6 x 6 x 6

= 216 possible outcomes.

Therefore,

If a die is rolled 3 times, there are 216 possible outcomes.

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