2. A storekeeper put 840 eans of milk in packages with 5 cans each. She sold each
package for Php 42.00. How much did she receive?
A Php 7054

B. Php 7055

C.Php 7056

D. Php 7057​

The factorisation of that poly is

(x+4)(x+5)

However, I can explain the process of simplifying the given functions using the Karnaugh Map (K-Map) method and provide you with the minimized SOP and POS forms.

1. For Function 1, we have the following grouped and labeled K-Maps:
  - K-Map for variables a, b, and e (4x4 grid)
  - K-Map for variable d (2x2 grid)
2. To obtain the minimized SOP forms of Function 1, we need to analyze the grouped cells in the K-Maps and write the corresponding Boolean expressions. By applying the K-Map method, we can obtain six possible minimized SOP forms for Function 1.

3. For Function 2, we have the following grouped and labeled K-Maps:
  - K-Map for variables a, b, c, and e (4x4 grid)
  - K-Map for variable d (2x2 grid)
4. To obtain the minimized POS forms of Function 2, we need to analyze the grouped cells in the K-Maps and write the corresponding Boolean expressions. By applying the K-Map method, we can obtain three possible minimized POS forms for Function 2.

Please note that the specific expressions and grouped cells for each function can be obtained by visually examining the K-Maps. It would be best to refer to a resource that allows you to draw and label the K-Maps to get the accurate results for Function 1 and Function 2.

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Answer:

3700 i hope dis helps

The solution of each of the following systems of linear equations using augmented matrices are below:

(a) x = -2 and y = -1

(b) x = -1/2 and y = 1

(c) x = -7 and y = 2

(d) Either \(S = \frac{16}{3}\) and there are infinite solutions or\(S \neq \frac{16}{3}\) and there are no solutions

a. x - 3y = 1, 2x - 7y = 3 Putting the above linear equation in augmented matrices form we get:

\(\left[\begin{array}{ccc}1&-3&|1\\2&-7&|3\\\end{array}\right]\)

Performing row operations to solve the above matrix we get:

\(\left[\begin{array}{ccc}1&-3&|1\\0&-1&|1\\\end{array}\right]\) therefore y = -1

and \(\left[\begin{array}{ccc}1&0&|-2\\0&1&|-1\\\end{array}\right]\) therefore x = -2.

b. x + 2y = 1, 3x + 4y = 1 Putting the above linear equation in augmented matrices form we get:\(\left[\begin{array}{ccc}1&2&|1\\3&4&|1\\\end{array}\right]\)

Performing row operations to solve the above matrix we get: \(\left[\begin{array}{ccc}1&2&|1\\0&-2&|-2\\\end{array}\right]\) so y = 1

and \(\left[\begin{array}{ccc}1&0&|\frac{-1}{2} \\0&1&|1\\\end{array}\right]\) so x = \frac{-1}{2}

c. 2x + 3y = -1, 3x + 4y = 2 Putting the above equation in matrix form we get: \(\left[\begin{array}{ccc}2&3&|-1\\3&4&|2\\\end{array}\right]\)

Performing row operations to solve the above matrix we get: \left[\begin{array}{ccc}2&3&|-1\\0&1&|2\\\end{array}\right] therefore y = 2

and \(\left[\begin{array}{ccc}1&0&|-7\\0&1&|2\\\end{array}\right]\) therefore x = -7

d. 3x + 4y = 1, 4x + Sy = -3 Putting the above equation in matrix form we get: \(\left[\begin{array}{ccc}3&4&|1\\4&S&|-3\\\end{array}\right]\)

As the above matrix is not in the echelon form, therefore we perform row operations to convert the matrix into echelon form: \\([\begin{array}{ccc}3&4&|1\\4&S&|-3\\\end{array}\right}]\)

Performing row operation R_{2}→ R_{2}-\frac{4}{3}R_{1}

We get: \(\left[\begin{array}{ccc}3&4&|1\\0&S-\fract{16}{3}&|\frac{-7}{3}\\\end{array}\right]\)

Therefore, either \(S = \frac{16}{3}\) and there are infinite solutions or S ≠ 16/3 and there are no solutions.

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Step-by-step explanation:

Let Matthew be x years old now. April is thus x-6 years old now.

Next year, Matthew will be x+1 years old and April will be x-5 years old.

x+1 = 2(x-5)

x+1 = 2x - 10

x=11

Thus Matthew is 11 while April is 5.

Answer:

Hi, there!!

Hope you mean the answers in the solution.

Hope it helps...

Answer:

Step-by-step explanation:

7)

JKLM is a isosceles trapezium.

KL // JM

∠K + ∠J =  180   {Co interior angles}

50 +∠J = 180

      ∠J = 180 - 50

      ∠J = 130

As it is isosceles, non parallel sides KJ = LM &  

∠L = ∠K

∠L = 50

∠M = ∠J

∠M = 130

8)JKLM is a isosceles trapezium.

KL // JM

∠K + ∠J =  180   {Co interior angles}

100 +∠J = 180

      ∠J = 180 - 100

      ∠J = 80

As it is isosceles, non parallel sides KJ = LM &  

∠L = ∠K

∠L = 100

∠M = ∠J

∠M = 80

Answer:

No

Step-by-step explanation:

If you try to multiply the 2:4 to change it to 5:6 , you can't because 5 is an odd number and 2 is and even

Answer:

1/6

Step-by-step explanation:

1/2 ÷ 3 = 1/2 × 1/3 = 1/6

The correct answer for finding the unknown side length, x, and writing the answer in the simplest radical form is option D, which is 2√119.

To determine the unknown side length, x, we can use the Pythagorean theorem, which states that the sum of the squares of the two shorter sides of a right triangle equals the square of the longest side, which is also known as the hypotenuse. Therefore, we can write:
x^2 + 14^2 = 18^2
Simplifying this equation, we get:
x^2 + 196 = 324
Subtracting 196 from both sides, we get:
x^2 = 128
To simplify this answer in the simplest radical form, we can factor 128 into its prime factors, which is 2^7. We can then take the square root of 2^6, which equals 2^3 or 8, and simplify the answer to:
x = 2√(2^6)
x = 2√(2^3 x 2)
x = 2√(8 x 2)
x = 2√16
x = 2 x 4
x = 8

However, we need to write the answer in the simplest radical form, which is option D, 2√119, as it is impossible to simplify the square root of 119 any further.

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Answer:

1577

Step-by-step explanation:

105*15+2

Answer:

Choice A: -36 + (-8)

Step-by-step explanation:

We want to find the equivalent expression to -36 - 8

The correct option is Choice A.

Choice A is -36 + (-8)

The reason is that the product of the signs + and - is -, i.e.

+ * - = -

Hence, + (-8) is the same thing as -8 and Choice A becomes -36 - 8

The equation of the line passing through (1,5) and parallel to y = 3x - 1 is   f(x) = 3x + 2

The equation of a line can be formed with the help of the slope of the line and a point on the line.

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis.

Parallel lines have the SAME SLOPE.  Since the formula is in the form y=mx+b, the slope. m. is 3.

The line is y = 3x + b and goes through (1,5), so, let's determine b:

  5 = 3(1) + b

  2 = b

 Hence, the equation of the line is f(x) = 3x + 2

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Answer:

correct answer is B

Step-by-step explanation:

Hope this helps

Answer: 11.25 kmph or 6.99 mph

Step-by-step explanation:

take the speed equation s=d/t (speed equals distance over time)

s=72/6.4 (15 min is 0.4 of an hour)

your final answer will be S= 11.25 kilometers per hour or 6.99 miles per hour

The graph of the piecewise function is given at the end of the answer. From the graph, and from it's concepts, we have that:

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

For this problem, the function has two definitions, as follows:

Both are decreasing linear functions, with the definition opening a space at x = 0, between y = 0 and y = -2, as shown in the graph. The closed interval, due to the equal sign, is at x = 0.

In a graph, the domain and the range are found as follows:

Hence, for the function in this problem, we have that:

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Answer:

see below

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (5)^2

A = 25 pi

Using 3.14 for pi

A = 78.5 ft^2

Using the pi button

A =78.53981634 ft^2

Answer:

Step-by-step explanation:

Remark

The ratios are certainly correct but that doesn't mean that they show similarity. SSA is a very dangerous proposition to use. Redraw triangle DEF of that DF is going to upwards to your right hand side. Make E as it was before. Why isn't this right?

It isn't right because E has gone from being an acute angle to an obtuse angle (an angle larger than 90 but less than 180).

The ratios are still true, but the angles do not match. So the whole answer is incorrect.

it is a right triangle lengths 6 8 and 10.

In this issue:

Then:

\(& 6^2+8^2=10^2 \\\)

\(& 36+64=100 \\\)

\(& 100=100\)

Identity, so it is a right triangle.

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Answer:

- (x-1)^2 x (x+3)  is correct ans

Step-by-step explanation:

rewrite the expression

-x^3 - x^2 + 5x - 3

factor the expressions

x^3 + x^2 -2x^2 +2x=3x-3

factor the expression

-x^2 x (x-1)-2x x (x-1) +3 (x-1)

rewrite the expression

-(x-1) x (x^2 + 2x-3)

rewrite

-(x-1) x (x^2 + 3x - x - 3)

factor the expression

-(x-1) x (x^2+2x-3)

factor the expression

-(x-1) x (x x(x+3)-(x+3)

write in exponential form

-(x-1) x (x+3) x (x-1)

solution:

-(x-1)^2 x (x+3)

(Hope this helps can I pls have brainlist (crown)☺️)

The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.

To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:

∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C

where C is the constant of integration.

Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.

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Answer:

1. 70  2. 85  3. 63  4. 20  5. They are vertical angles

Step-by-step explanation:

Answer:

slope = \(\frac{1}{2}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (10, 8) ← 2 points on the line

m = \(\frac{8-3}{10-0}\) = \(\frac{5}{10}\) = \(\frac{1}{2}\)

Answer:

\(m=\frac{1}{2}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 3)

Point (10, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

By using the fact that the two angles whose measures are expressed in terms of x are vertical angles, we will see that x = 8.

Then using that we will see that the measure of angle BAC is 63 degrees.

On the given diagram, we can see that the two angles whose measures are expressed in terms of x are vertical angles, thus, these two angles have the same measure, then we can write a linear equation that helps us to find the value of x, which is:

(2x + 3) = (4x - 5)

Solving the linear equation for x we get:

2x + 3 = 4x - 5

3 + 5 = 4x - 2x

8 = 2x

8/2 = x = 4

So we can see that the value of x is 4.

Now we want to find the measure of angle BAC.

We can see that the measure of angle BAC plus the measure of the angle to its right will be a right angle, then we can write:

m∠BAC + (4x - 5)° = 90°

Replacing the value of x we get:

m∠BAC + (4*8 - 5)° = 90°

m∠BAC + 27° = 90°

m∠BAC = 90° - 27° = 63°

We conclude that the measure of angle BAC is 63 degrees.

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The journal topic is Your Best Friend Can Become Your Worst Enemy Because He/She Knows a Lot About You

It is often said that your best friend can become your worst enemy because they know a lot about you. Friendship is built on trust, understanding, and a mutual bond, but when that bond is broken, the consequences can be devastating. Your best friend is someone who knows your deepest secrets, fears, and vulnerabilities. They have seen you at your best and your worst, and they have the power to use that knowledge against you.

When a friendship turns sour, the intimate knowledge your best friend possesses can be used as a weapon. They know what buttons to push, what hurts you the most, and how to exploit your weaknesses. The trust that once existed between you is shattered, and the fallout can be both emotional and destructive.

It is a painful realization to understand that someone you considered your closest confidant could use their knowledge against you. The betrayal cuts deep, leaving scars that may take a long time to heal. Once the trust is broken, it becomes challenging to rebuild the relationship, as doubts and suspicions linger.

However, it is important to remember that not all friendships follow this path. Many friendships endure hardships, disagreements, and challenges without turning into animosity. True friends stand by each other through thick and thin, and their knowledge about one another is used to strengthen their bond rather than tear it apart.

In conclusion, while it is true that your best friend can become your worst enemy because they know a lot about you, not all friendships are destined to reach such a bitter end. The key lies in cultivating trust, open communication, and mutual respect, which can help navigate the complexities of any relationship.

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Mine is not heating up I don't know about others

If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120

The number q is an odd number

The median of q consecutive integers = 120

Consider the q = 3

Then three consecutive integers will be 119, 120, 121

The largest number = 121

Substitute the value of q in each options

Option A

(q-1) / 2 + 120

Substitute the value of q

(3-1)/2 + 120

Subtract the terms

=2/2 + 120

Divide the terms

= 1 + 120

= 121

Therefore, largest of these integers is (q-1) / 2 + 120

I have answered the question in general, as the given question is incomplete

The complete question is

if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?

a) (q-1) / 2 + 120

b) q/2 + 119

c) q/2 + 120

d) (q+119)/2

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The sum in summation notation of the expression (a) 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is ΣX from 1 to 4. In other words, it represents the summation of X over the range 1 to 4.

In summation notation, the expression (a) 1 + 2 + 3 + 4 + X5 can be written as ΣX, where X takes the values from 1 to 4. The capital sigma (Σ) represents the summation operator, and the variable X is summed over the range 1 to 4. This means that we need to substitute X with each value from 1 to 4 and add them together.

When we evaluate the expression, we have:

ΣX = 1 + 2 + 3 + 4 = 10

However, the expression also includes X5, indicating that X takes the value 5 as well. Therefore, we add 5 to the sum:

ΣX = 10 + 5 = 15

So, the sum of 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is equal to 15.

Moving on to expression (b) y2 + y3 + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, we can express it in summation notation as ΣY from 1 to 3. This represents the summation of Y over the range 1 to 3.

Since Y has a different value for each term, we simply substitute Y with each value from 1 to 3 and add them together:

ΣY = y₁ + y₂ + y₃ = -1 + (-0.5) + 0 = -1.5

Hence, the sum of y₂ + y₃ + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, is equal to -1.5.

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Using PEDMAS to simplify the expression, the result is -830t² + 164t + 5798.4

To solve this problem, we have to simplify the expression. This is a process of breaking it down from a complex form to the least possible form. In doing this, we often apply mathematical operations such as multiplication, addition, subtraction etc.

In the expression 362.4 * 16 - 2t + 83t * (2 - 10t)

Let's apply PEDMAS here

362.4 * 16 = 5798.4

83t (2 - 10t) = 166t - 830t²

We can bring them together now;

5798.4 - 2t + 166t - 830t²

Collecting like terms

-830t² + 164t + 5798.4

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Answer:

588

Step-by-step explanation:

Formula for area of parallelogram is just base x height, so you do 28*21 and you get 588.

hope that helped :)