Harry makes 2 litres of his delicious bat wing soup.
He wants to store the soup in 250ml containers.
How many containers will he need?

Answer: A line that divides a angle into two equal parts is called as a bisector.

Step-by-step explanation:

So, the value of P (X=2 or X=0) is 0.4.

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that it is certain to occur.

For example, if you flip a fair coin, the probability of it landing on heads is 0.5 or 50%, as there are only two possible outcomes (heads or tails) and they are equally likely to occur.

Probability is used extensively in fields such as statistics, mathematics, and science to model and analyze uncertainty and randomness. It is also used in practical applications such as gambling, risk assessment, and decision making.

o find the probability of X being 2 or 0, we need to add the probabilities of the two events.

P(X=2 or X=0) = P(X=2) + P(X=0)

From the given table, we can see that:

P(X=2) = 0.1

P(X=0) = 0.3

Therefore,

\(P (X=2 or X=0) = 0.1 + 0.3 = 0.4\)

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There is no stationary point at x = 2. The nature of the curve at x = 2 cannot be determined since there is no stationary point.

To verify that the curve has a stationary point at x = 2, we need to find the derivative of the equation and set it equal to zero.

Given the equation:

y = 2x + 1/(x-1)²

Let's find the derivative dy/dx:

dy/dx = d/dx [2x + 1/(x-1)²]

To find the derivative, we can use the power rule and the chain rule. Let's differentiate each term separately:

For the first term, 2x, the derivative is 2.

For the second term, 1/(x-1)², we can rewrite it as (x-1)^(-2) to apply the power rule. The derivative is then:

d/dx [(x-1)^(-2)] = -2(x-1)^(-3) * d/dx (x-1)

Using the chain rule, d/dx (x-1) = 1, so the derivative becomes:

-2(x-1)^(-3) * 1 = -2/(x-1)^3

Now, let's set dy/dx equal to zero and solve for x:

-2/(x-1)^3 = 0

This equation is satisfied when the numerator is equal to zero:

-2 = 0

However, -2 is not equal to zero, which means there is no x value that makes dy/dx equal to zero.

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Using the concept of linear equation we can conclude that the number of marbles sold by Mark is 23 and the number of marbles sold by Don is 72.

An equation is said to be linear if the highest power of the variable is 1. It is also called as  one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variable is x and A is the coefficient of x, while B is a constant.

Let the number of marbles Mark sells be ‘x’

then, the number of marbles Don sells can be given by ‘3x+3’

Total number of marbles sold=95

We can for equation by adding the number of marbles Mark sells and the number of marbles Don sells  to the total number of marbles sold. The equation formed is

x+3x+3=95

4x+3=95

4x=95-3

4x=92

x=23

The number of marbles Mark sells =23

Number of marbles Don sells=3x+3

Substituting value of ‘x’

Number of marbles Don sells=(3×23)+3

Number of marbles Don sells=69+3

Number of marbles Don sells=72

Thus, the number of marbles sold by Mark is 23.

While, the number of marbles sold by Don is 72.

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Answer:

\(\boxed{\sf B. \ All \ real \ numbers}\)

Step-by-step explanation:

The domain is all possible values for x.

\(f(x)=(\frac{1}{4} )^x\)

There are no restrictions on x.

The domain is all real numbers.

Answer:

B.All real number

hope you have unterstand

A sorting algorithm is defined as an algorithm that sorts the elements of a list. The most commonly used sequences are numerical sequence and lexicographical sequence, ascending or descending.

A sorting algorithm is used to reorder an array or list of elements according to an element comparison operator. Comparison operators are used to define a new order of elements in that data structure. Consider example, The above list of characters is sorted in ascending order by their value. That is, characters with lower values are placed before characters with higher values. It is important in real life because it supports the development of the scientific concept that things can be owned and organized into distinct groups (e.g. creatures, cars, weather types, etc.). We will now discuss some real-world examples of using sorting algorithms.

1) Your phone's contact list is sorted. This means that your data is organized in this way so you can easily access the contacts you want from your phone. That is, "I ordered."

2) Paper sorting : Imagine a teacher sorting students' work alphabetically by student name. This type of operation is similar to the functionality of sorting algorithms such as bucket sort. Sorting is more efficient process.

3) Traffic lights : Traffic lights are a good example of how algorithms are used in the real world around us. Next time you get stuck in a car at a red light, think about the algorithm that traffic lights run." Most traffic lights don't automatically switch between green, yellow, and red. This algorithm is a well-established turn-by-turn algorithm that directs traffic correctly. It's in order (it may not seem that way when you're sitting at a red light).

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Answer:

5 out of 70

Step-by-step explanation:

all you have to do is figure all of the multiple of 12 in 70 which is 12, 24, 36, 48, and 60 so that's 5 numbers out of the 70

No, this shape does not belong in a group of shapes that have more than one pair of perpendicular sides.

In order to determine if the shape belongs to a group of shapes with more than one pair of perpendicular sides, we need to examine the number of right angles in the shape.

A right angle is a 90-degree angle, and shapes with perpendicular sides have right angles at their intersections. By counting the number of right angles in the shape, we can determine if it has more than one pair of perpendicular sides.

If the shape has only one right angle, then it does not have more than one pair of perpendicular sides. But if it has two or more right angles, then it would belong to the group of shapes that have more than one pair of perpendicular sides.

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Since AB is parallel to CD, we have alternate interior angles forming when transversal CE intersects the parallel lines. Therefore,

mZDCE = mZECB (Alternate Interior Angles)

(7x + 2) = (x + 8) (Substitute in the given angle measures)

Solving for x, we get:

7x + 2 = x + 8

6x = 6

x = 1

Now, we can use x to find the measure of angle ZDCE:

mZDCE = (7x + 2)

= (7*1 + 2)

= 9

Therefore, the measure of angle ZDCE is 9 degrees.

Answer:

No, It's false.

Step-by-step explanation:

In the long history of the United States, only one president, George Washington, did not represent a political party.

The interest earned and the future value of an annuity with monthly payments of $200 for two years that pays 6% interest per year compounded monthly is $25.43 and $225.43

Principal,P = $200

Time, t = 6%

Number of periods, n = 12

Interest rate, r = 6%

= 6/100

= 0.06 rate per year,

FV = P(1 + r/n)^nt

FV = 200.00(1 + 0.06/12)^(12)(2)

FV = 200.00(1 + 0.005)^(24)

FV = $225.43

Therefore,

Principal = $200.00

Interest = $25.43

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Answer:

466.2

Step-by-step explanation:

=(87-24)×7.4

=63×7.4

=466.2

Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk

Answer:

a0 - 264.60

a1 - 466.28

a2 - 183.23

a3 - 292.35

a4 - 467.23

a5 - 9

a6 - 3

a7 - 576.94

a8 - 825.94

a9 - 910.65

a10 - 25.00

a11 - 467.23

Step-by-step explanation:

a0 is the answer for the first question.

a1 is the answer for the second question.

Answer:

67 886/1093

Step-by-step explanation:

The solutions to the trigonometric equation 12cos²(x) - sin(x) - 6 = 0 are given as follows:

x = 42º and x = 228º.

The equation is given as follows:

12cos²(x) - sin(x) - 6 = 0

The following identity is applied:

sin²(x) + cos²(x) = 1.

Hence:

cos²(x) = 1 - sin²(x).

Replacing this identity into the equation, we have that:

12(1 - sin²(x)) - sin(x) - 6 = 0

12 - 12sin²(x) - sin(x) - 6 = 0

12sin²(x) + sin(x) - 6 = 0.

The following transformation is applied:

y = sin(x).

Hence the equation is:

12y² + y - 6 = 0.

Which, using a calculator, has the solutions given by:

y = -3/4, y = 2/3.

Then the solutions for the variable x are given as follows:

This problem is incomplete and could not be found on any search engine, hence we are going to suppose that it asks for the solutions to the equation.

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In the context of this problem all the solutions to the polynomial equation is correct because they all make sense.

The given polynomial equation  can be expressed as ;

x³ + 6x² - 40x = 192 and the given solutions can be written as ; x = -8, x = -4, and x = 6

We can test if the solution is the best for the given euation because this will help us to know if these valueas are the solution for the equation

x = -8

[(-8)³ + 6(-8)² - 40(-8)]

= 192

[-512 + 384 + 320]

= 192

x = -4,

[(-4)³ + 6(-4)² - 40(-4)]

[-64 + 96 + 160 ]

= 192

x = 6

[(6)³ + 6(6)² - 40(6) ]

216 + 216 - 240

= 192

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Answer:

Step-by-step explanation:

A,B

x = –8

x = –4

Answer: $2.50

$10.00 per 4 liters

10/4=2.5

I hope this is good enough:

Answer:  because i just want points and 1 +2= 3

Step-by-step explanation: because  if u add 2 with 1 u will get 3

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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Answer:

yes it is a parallelogram because opposite sides parallel.

1) To solve that problem algebraically, we need to keep in mind the general formula for quadratic equations in the vertex form:

2) Comparing that to the quadratic function we have it on the picture, we can tell that the vertex of that function is:

Answer:

2x-3y<-9

Step-by-step explanation:

The limit of the difference quotients for f(x) = x^2 + 2x + 1 as x approaches -1 is indeterminate.

To find the limit of the difference quotients for the function f(x) = x^2 + 2x + 1 as x approaches -1, we need to evaluate the following expression:

lim(x→-1) [f(x) - f(-1)] / (x - (-1))

First, let's substitute the values into the expression:

lim(x→-1) \([(x^2 + 2x + 1) - (-1^2 + 2(-1) + 1)] / (x + 1)\)

Simplifying further:

lim(x→-1) \([(x^2 + 2x + 1) - (1 - 2 + 1)] / (x + 1)\)

lim(x→-1)\([x^2 + 2x + 1 - 0] / (x + 1)\)

lim(x→-1) \((x^2 + 2x + 1) / (x + 1)\)

Now, we can directly substitute x = -1 into the expression:

\((-1^2 + 2(-1) + 1) / (-1 + 1)\)

(1 - 2 + 1) / (0)

0 / 0

We have obtained an indeterminate form of 0/0. This indicates that we need to further simplify the expression or use other techniques, such as L'Hôpital's rule, to evaluate the limit. However, without additional information or simplification, we cannot determine the precise value of the limit at x = -1.

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The answers are:

Part A: The two values of x are: x > 8 or x < -24

Part B: Closed circles at -24 as well as 8 on the number line.

Inequalities are mathematical formulas with two sides that are unequal. In an inequality, we evaluate two numbers rather than two equations. In place of the equal sign, a less than (less than or equal to), larger than (greater than or equal to), or not equal to sign is used.

The following steps are missing for the inequalities:

Solving the inequalities,

Part A:

|1/4x+2|+4 >= 8

|1/4x+2|>=4

Now when we remove the sign fom the inequality, there would be 2 values:

(1/4) x + 2 > 4 or (1/4) x + 2 < -4

Now subtracting 2 from both side:

\((\frac{1}{4} )x > 2\ or\ (\frac{1}{4} )x < -6\)

Divide both the sides by 4:

4(1/4) x > 4(2) or 4(1/4) x < 4(-6)

Now we get two values of x:

x > 8 or x < -24

Part B:

Closed circles at -24 as well as 8 on the number line. Draw a thick line from -24 to the left arrow and a thick line from 8 to the right arrow.

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The area of the shaded portion of the given figure is 84 sq. units.

What is meant by area?

The size of a region on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a structure or planar lamina.

From the figure, we can conclude that,

Area of the shaded portion = Area of the square - Area of the four congruent parallelograms.

Now we have to find the area of square and parallelograms separately.

Area of square

Side length l = 12

Area = l *l = 12 * 12 = 144 sq. units

Area of parallelograms

Base b = 5

Height h = 3

Area of 1 parallelogram = b.h = 5 * 3 = 15 sq. units

Since all the parallelograms are congruent,

Area of all 4 parallelograms = 15 * 4 = 60 sq. units

Hence the area of the shaded portion of the given figure = 144 - 60

                                                                                          = 84 sq. units

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Answer:

the first one is (23)

number 7 is ( 34.069)

Step-by-step explanation:

Answer: 6 batches

Step-by-step explanation:

From the question, we are informed that one batch of cookies requires 2⁄3 cup of flour.

Therefore, the number of batches that can be made with 4 cups of flour will be:

= 4 / 2/3

= 4 × 3/2

= 12/2

= 6 batches

To find a(100), the values of functions a(1), a(2)....... a(99) must be calculated

Recursive functions are functions that derive their value from with the function formula

This means that the current term of a recursive definition is dependent on the previous terms

The recursive function is given as

a(100)

This means that the current term of the recursion is 100

As stated above that:

The current term of a recursive definition is dependent on the previous terms

This means that we must find the previous terms before we can find a(100)

In this case, it means that we must determine the values of functions a(1), a(2)....... a(99), before the value of a(100) can be calculated

Hence, to find a(100), the values of functions a(1), a(2)....... a(99) must be calculated

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The measures of the angles are:

m ∠GAL = 90°

m ∠LAO = 71°

m ∠CAO = 109°

m ∠KAC = 71°

From the question, we are to determine the measure of the angles

m ∠GAL = 90° (Right angle)

m ∠LAO

m ∠LAO + m ∠GAL + 19° = 180° (Sum of angles on a straight line)

m ∠LAO + 90° + 19° = 180°

m ∠LAO = 180° - 90° - 19°

m ∠LAO = 90° - 19°

m ∠LAO = 71°

m ∠CAO

m ∠CAO = m ∠KAL (Vertically opposite angles)

m ∠KAL = m ∠GAL + 19°

m ∠KAL = 90° + 19°

m ∠KAL = 109°

Therefore,

m ∠CAO = 109°

m ∠KAC = m ∠LAO (Vertically opposite angles)

m ∠LAO = 71°

Therefore,

m ∠KAC = 71°

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