ben scores 56 out of 79 in a maths test what is his score as a percentage

The total cost to cover the floor is $1,077.51

Here we know that one gallon of floor paint costs $21.99 and covers an area of 20ft by 20ft

That area is 20ft*20ft = 400ft^2

Now, for the floor of 140ft by 140ft the area is:

A = 140ft*140ft = 19,600ft^2

We need to see how many times 400ft^2 are in 19,600ft^2, so we take the quotient:

19,600ft^2/400ft^2  = 49

That is the number of gallons of paint that we will need, then the total cost is:

C = 49*$21.99 = $1,077.51

Learn more about costs:

https://brainly.com/question/19104371

#SPJ1

Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

The vector parameterization for the line passing through the points (1, 1, -1) and (6, -9, 4) is:

x = 1 + 5t

y = 1 - 10t

z = -1 + 5t

To find a vector parameterization for the line passing through the points (1, 1, -1) and (6, -9, 4), we can use the vector equation of a line:

r = a + t * d

where r is the position vector of any point on the line, a is a known point on the line, t is a parameter, and d is the direction vector of the line.

First, let's find the direction vector d. We can subtract the coordinates of the two points to obtain the direction vector:

d = (6, -9, 4) - (1, 1, -1)

= (5, -10, 5)

Now, we can choose one of the given points, say (1, 1, -1), as our known point a.

Substituting these values into the vector equation, we have:

r = (1, 1, -1) + t * (5, -10, 5)

So, the vector parameterization for the line passing through the points (1, 1, -1) and (6, -9, 4) is:

x = 1 + 5t

y = 1 - 10t

z = -1 + 5t

where t is a real number that can vary to give different points along the line.

learn more about parameterization here

https://brainly.com/question/14762616

#SPJ11

Answer:

It would be B

Step-by-step explanation:

Area A of squares S₁, S₂, S₃ and S₄ are 1 square units, 4 square units, 9 square units and 16 square units. Perimeter P of squares S₁, S₂, S₃ and S₄ are 4 units, 8 units, 12 units and 16 units.

A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.

Let four squares are S₁, S₂, S₃ and S₄.

And the sides of squares S₁, S₂, S₃ and S₄ are 1 unit, 2 unit, 3 unit and 4 unit respectively.

To find the perimeter P and area A:

Area of the square = side x side

And the perimeter of the square = 4(side)

For square S₁,

Area of the square = 1x 1

Area of the square A = 1 square unit.

And the perimeter of the square P = 4(1) = 4 units.

For square S₂,

Area of the square = 2 x 2

Area of the square A = 4 square unit.

And the perimeter of the square P = 4(2) = 8 units.

For square S₃,

Area of the square = 3 x 3

Area of the square A = 9 square unit.

And the perimeter of the square P= 4(3) = 12 units.

For square S₄,

Area of the square = 4 x 4

Area of the square A = 16 square unit.

And the perimeter of the square P = 4(4) = 16 units.

Therefore, A of squares S₁, S₂, S₃ and S₄ are 1 square units, 4 square units, 9 square units and 16 square units. P of squares S₁, S₂, S₃ and S₄ are 4 units, 8 units, 12 units and 16 units.

To learn more about the perimeter of a shape:

https://brainly.com/question/28161250

#SPJ1

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

the correct answer is M= 4

It's important to note that while BNP levels can provide additional information for diagnosing TACO, the diagnosis should be made based on a combination of clinical presentation, symptoms, and other laboratory findings. Consulting with a healthcare professional or hematologist is crucial for accurate diagnosis and appropriate management of transfusion reactions.

Evaluating B-type natriuretic peptide (BNP) levels before and after transfusion can be helpful in establishing a diagnosis for transfusion-associated circulatory overload (TACO). TACO is a transfusion reaction that occurs due to the rapid volume overload caused by transfusion. It primarily affects patients with pre-existing cardiovascular conditions.

BNP is a hormone released by the ventricles of the heart in response to increased stretching of cardiac muscle cells. Elevated BNP levels indicate heart stress or failure. In the context of transfusion reactions, monitoring BNP levels before and after transfusion can help differentiate TACO from other transfusion reactions that may present with similar symptoms.

If BNP levels are elevated before transfusion and increase further after transfusion, it suggests that TACO is likely the cause of the reaction. This pattern indicates worsening heart stress due to volume overload from the transfusion. By contrast, other transfusion reactions may not have a significant impact on BNP levels.

It's important to note that while BNP levels can provide additional information for diagnosing TACO, the diagnosis should be made based on a combination of clinical presentation, symptoms, and other laboratory findings. Consulting with a healthcare professional or hematologist is crucial for accurate diagnosis and appropriate management of transfusion reactions.

For more details of transfusion :

https://brainly.com/question/13253562

#SPJ4

The limit of the Riemann sums is equal to the definite integral ∫\(2^3\)x cos(2x) dx.

We have:

lim δ→0 ∑k=1n x_k cos(2x_k)δx_k,

where x_k = a + k(b-a)/n = 2 + k(1)/n and

δx_k = (b-a)/n = 1/n.

Notice that as δ → 0, nδ = (b-a) → 0, so we have a Riemann sum that

approaches a definite integral:

∫\(2^3\)x cos(2x) dx.

Thus, the function f(x) = x cos(2x), and the limit of the Riemann sums is

equal to the definite integral ∫\(2^3\)x cos(2x) dx.

for such more question on integral

https://brainly.com/question/27746495

#SPJ11

The given limit represents a Riemann sum of the function f(x) = x*cos(2x) on the interval [2, 3]. Evaluating the limit by taking the definite integral of the function over the interval gives the value of 3/2.

To evaluate the given limit of Riemann sums, we need to first identify the function f. Note that the expression inside the summation, xk cos^2(xk) delta xk, suggests that f(x) = x cos^2(x).

Next, we can rewrite the limit as a definite integral by using the definition of the integral. We have:

lim delta→0 Σk=1n xk cos^2(xk) delta xk

= ∫2^3 x cos^2(x) dx

Thus, the limit of Riemann sums is equal to the definite integral of the function f(x) = x cos^2(x) over the interval [2,3].

To learn more about Riemann sum click here: brainly.com/question/30241844

#SPJ11

Answer:

Step-by-step explanation:

7 blue cars out of 38 cars.

To find the percentage you just divide using your calculator and you should get something like this :

\(\frac{7}{38}\) = 0.1842105263

Then you just round that to the nearest hundredth.

If you round 0.184 to the nearest hundredth, it will be 0.18 (You have to round down since the number 4 in the thousandth place is smaller than 5)

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

Learn more about area on

https://brainly.com/question/29082330

#SPJ1

Find the value of xy².

xy²

★ Substituting the values of x and y ,we get :

⇒ -12 × ( -3 )²

⇒ -12 × 9

⇒ -108

Answer:

58.5; 300; 196.5

Step-by-step explanation:

Area of triangle 1 = (1/2) * 9 * 13 = 58.5 inches^2

Area of whole figure = (1/2) * (14+26) * 15 = 300 inches ^2

Area of shaded region = 300 - 58.5 - [(1/2) * 6 * 15] = 241.5 - 45 = 196.5 inches^2

First lets define what is the equation of a line:

equation of a line is

y=mx +b

So, equation in slope intercept form would be y=mx +b

To calculate the slope m we would have to use the points (2, -1) and (-3,-1)​ and calculate the following formula:

slope= y2-y1/x2-x1

slope=-1+1/-3-2

slope=0

Therefore, equation in slope intercept form would be for points x -1 and y -1 would be:

-1=0*-1 + b

-1=b

Hence, y= -1

Answer:

1.none of the above

2.x=50

Answer:

(-22, 10)

Step-by-step explanation:

So the midpoint equation is defined as: \(m=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\). The order of the pairs don't matter since addition is associative, as long as you put the values where they are supposed to be (x in x spot, and y in the spot)

So, let's say the unknown end point is \((x_2, y_2)\)

We know what the midpoint is so we can solve for these values. Let's start with the x-value

\(-14=\frac{-6+x_2}{2}\)

Multiply both values by 2

\(-28=-6+x_2\)

Now add 6 to both sides

\(-22=x_2\)

Now let's do the same thing with the y-value

\(9=\frac{8+y_2}{2}\)

Multiply both sides by 2

\(18=8+y_2\)

Subtract 8 from both sides

\(10=y_2\)

So the other end point is \((-22, 10)\)

False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.

False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).

In the given equation, \(a = PDP^(-1),\)

where D is a diagonal matrix and P is an invertible matrix.

The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.

When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)

Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.

Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)

Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.

However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.

The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.

Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.

In conclusion, the statement is false.

The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).

For similar question on matrix.

https://brainly.com/question/30292829

#SPJ11

a. The encrypted message "AN APPLE A DAY" using the Caesar cipher is "DR DSSOH D GDB".

b. The decrypted message "NHHSV WKH GRFWRU DZDB" using the Caesar cipher is "MEET THE ENGINEER BILL".

The Caesar cipher is a substitution cipher where each letter in the plaintext is shifted a certain number of positions down or up the alphabet. In the case of encryption, the letters are shifted forward, while in decryption, the letters are shifted backward. The number of positions to shift is known as the key.

For the encryption in (a), each letter in the message "AN APPLE A DAY" is shifted three positions forward in the alphabet, resulting in "DR DSSOH D GDB".

For the decryption in (b), each letter in the message "NHHSV WKH GRFWRU DZDB" is shifted one position backward in the alphabet, resulting in "MEET THE ENGINEER BILL".

To learn more about number click here:

brainly.com/question/3589540

#SPJ11

Using the four-step process,  f'(1) = 10, f'(2) = 12, and f'(3) = 14.

To identify f'(x), the derivative of f(x), using the four-step process, we can follow these steps:

1: Identify the function.
The given function is f(x) = x^2 + 8x - 6.

2: Apply the power rule.
Differentiate each term of the function separately.
The derivative of x^2 is 2x.
The derivative of 8x is 8.
The derivative of -6 is 0 (constant term).

3: Simplify.
Combine the derivatives obtained in step 2.
So, f'(x) = 2x + 8.

4: Evaluate f'(1), f'(2), and f'(3).
Substitute x = 1, 2, and 3 into the derived equation to identify the respective values.
f'(1) = 2(1) + 8 = 10.
f'(2) = 2(2) + 8 = 12.
f'(3) = 2(3) + 8 = 14.

You can learn more about derivatives at: brainly.com/question/29144258

#SPJ11

Answer:

I got you with Question 3 and 4 my guy.

3) He would need 12 and it would cost 50k

4) 9% payments: $563.24, 7% payments: $494.75. Monthly savings: $69.49, 9% total repaid: $2022,764.90 , 7% total repaid: $148,423.63 , Savings: $54,341.27

The Tom will need to bring to the closing $54,341.27

He would need 12 and it would cost 50k.

We have given that,

Tom buys a condominium for $42,600.

He makes a down payment of 15% and pays these closing costs to survey $225.

The meaning down payment is a part of the full price paid at the time of purchase or delivery with the balance to be paid later.

Inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286

9% payments: $563.24

7% payments: $494.75.

Monthly savings: $69.49

9% total repaid: $2022,764.90  

7% total repaid: $148,423.63

Savings: $54,341.27

To learn more about the savings visit:

https://brainly.com/question/25787382

Answer:

-25.2

Step-by-step explanation:

by replacing -6 on the place of x we get4.2(-6)=-25.2

Answer:

D: 132 ft

Step-by-step explanation:

C= π2r

So, take pi and multiply that by two..

π2= 6.28

Now, take your radius and multiply it by 6.28.

21 x 6.28= 131.88

Round it two the nearest whole number, which is 132!

Hope this helps!

Answer:

132

Step-by-step explanation:

Answer:

6/10

Step-by-step explanation:

Answer:

3.2

The value of C when B is 5 is 3.2

Step-by-step explanation:

According to the picture, we can find the length of PX by using the pythagorean theorem, where PX would be the hypotenuse.

The length of PX is 10 cm

The answer is (c) 0.3481.

The probability density function of the waiting time is given by:

f(x) = (1/5) * e^(-x/5), for x >= 0

To find the probability that the child must wait between 4 and 6 minutes, we need to integrate the probability density function over this interval:

P(4 <= x <= 6) = ∫(4 to 6) f(x) dx

= ∫(4 to 6) (1/5) * e^(-x/5) dx

= [-e^(-x/5)] from 4 to 6

= -e^(-6/5) + e^(-4/5)

Using a calculator, we get:

P(4 <= x <= 6) ≈ 0.3481

Therefore, the answer is (c) 0.3481.

To know more about probability density function refer here

https://brainly.com/question/31039386#

#SPJ11

Answer:

x = 73/12

Step-by-step explanation:

Given:

\(\displaystyle \large{12(x-7)=-11}\)

Distribute 12 in x-7:

\(\displaystyle \large{12x-84=-11}\)

Add both sides by 84:

\(\displaystyle \large{12x-84+84=-11+84}\\\displaystyle \large{12x=73}\)

Divide both sides by 12:

\(\displaystyle \large{\dfrac{12x}{12}=\dfrac{73}{12}}\\\displaystyle \large{x=\dfrac{73}{12}}\)

Therefore, the solution is x = 73/12

Answer:

\(\large\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}\)

Step-by-step explanation:

\(12(x - 7) = -11\)

Multiply 12 by x & 7 (distributive property) in the left hand side of the equation .

\(12(x-7)=-11\\(12*x)-(12*7)=-11\\12x - 84 =-11\)

Bring -84 to the right hand side of the equation. Then,

\(12x = -11 + 84\\12x = 73\\x=\frac{73}{12} \\\\\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}\)

\(\rule{150pt}{2pt}\)

Answer:

P=7

Step-by-step explanation:

4+5(7-1) = 34

4 + 5(6) = 34

4+30=34

34=34