CHIJ (KATONG) PRIMARY MILESTONES WHOLE NUMBERS 1: FACTORS AND MULTIPLES (3) Alarm Clock A rings every 9 minutes. Alarm Clock B rings every 12 minutes. If both alarm clocks rang together at 2 p.m., at what time will the two alarm clocks ring together again?​

The optimal solution to the LP problem is (x,y) = (8,10). The objective function is minimized at this point, with a minimum value of 18.

We can solve this LP problem by using the graphical method.

First, we plot the constraints:

x + 3y <= 28 --> y <= -(1/3)x + 28/3

5x + y <= 28 --> y <= -5x + 28

x >= 0

y >= 0

Next, we find the feasible region formed by the intersection of these constraints. This region is a bounded polygon and is shown in blue in the figure below.

Finally, we find the point in the feasible region that minimizes the objective function c = x + 2y. We do this by plotting the objective function as a straight line with slope equal to 2 and y-intercept equal to 0. The line should pass through the feasible region and intersect it at the point with the minimum value of c.

From the figure, we can see that the line intersects the feasible region at the point (8, 10), which is the minimum value of c = x + 2y, with a minimum value of 18.

Therefore, the optimal solution to the LP problem is (x,y) = (8,10).

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The slope of the linear relationship is -4/6

The general formula for the equation of a line is expressed as;

y = mx + c

Given that the parameters are;

The formula for determining the slope of a line is expressed as;

Slope, m = y₂ - y₁/x₂ - x₁

From the diagram shown, we have to substitute the values into the formula, we get;

Slope, m = -6 - (-2)/11 - 5

Expand the bracket

Slope,m  = -6 + 2/6

Subtract the values

Slope, m = -4/6

Hence, the value is -4/6

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A number of schedule that is recoverable but does not avoid cascading rollback and is not serializable is a schedule that contains interleaved operations from two or more transactions that conflict with each other.

For example, Transaction A writes to a data item, then Transaction B reads the same data item, then Transaction A commits has number of , and finally Transaction B commits. In this case, the schedule is recoverable, since both transactions will eventually commit, but it is not serializable, since Transaction B has read a data item that was written by Transaction A after Transaction B began but before Transaction A committed. Furthermore, it does not avoid cascading rollback, since if Transaction A is rolled back, then Transaction B will also need to be rolled back.

which of the following schedules is recoverable, but does not avoid cascading rollback and is not serializable?

A. Schedule A: T1 {R1(A); W2(C)} T2 {R2(B); W1(A)}

B. Schedule B: T1 {R1(A); W1(A)} T2 {R2(B); W2(C)}

C. Schedule C: T1 {R1(A); W2(C)} T2 {R2(B); W2(C)}

D. Schedule D: T1 {R1(A); W2(C)} T2 {R2(B); W2(A)}

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The graph will have a slope of 15 and is attached with the answer below.

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

When y and x are two quantities that are directly proportional to one another, the proportionality constant k is defined as k=y/x.

Given that Nicole had a collection of 60 stuffed animals. She gave away 5 stuffed animals per month until all her stuffed animals were gone.

The equation can be written as:-

y = kx

The value of k will be calculated as :-

60 = k x 5

k = 60 / 5

k = 12

The equation will be:-

y = 12x

The graph of the linear relation is attached with the answer below.

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The quotient is 32 and the remainder is 6.

i.e,

32 R6

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

774 ÷ 24

24 ) 774 ( 32

      768

           6

The quotient is 32 and the remainder is 6.

Now,

We can write in this form,

(Quotient) R(remainder)

Thus,

The quotient is 32 and the remainder is 6.

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The solution to the given inequality is b ≤ 1.

Inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥.

Given inequality expression is,

7 (b - 1) / b ≤ 0

(7b - 7) / b ≤ 0

(7b / b) - (7 / b) ≤ 0

7 - 7/b ≤ 0

Adding 7/b on both sides,

7 ≤ 7/b

Multiplying b on both sides,

7b ≤ 7

b ≤ 1

Hence the value of b is b ≤ 1.

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try 13 pairs of flippers

It’s in between 10 and 15

To verify that the given function is an explicit solution of the given differential equation, we can plug it into the differential equation and see if it satisfies the equation.

Plugging in the given function, we get: dy/dt + 20y = 24; (6/5)e-20t - 6/5 = 24. Simplifying, we get 0 = 0, which is true. This means that the given function is an explicit solution of the differential equation, and it is valid on any interval I.

To find a function solution to a differential equation, you must first identify the type of equation you are dealing with. If it is a linear equation, you can use the method of integrating factors or the method of undetermined coefficients, depending on the equation.

If it is a nonlinear equation, you can use the method of separation of variables, the method of substitution, or the method of series solutions. Once you have identified the equation, you can use the appropriate method to find the solution.

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At scores of 13 and 14, the two piles correspond to the two frequency local maxima.

Here's the frequency distribution table:

Score Frequency

9 1

10 1

11 3

12 4

13 5

14 5

15 2

The distribution has two piles of scores and is roughly symmetrical. This is due to the fact that the frequencies are concentrated in the center of the distribution and become less frequent as you move away from it.

The two piles correspond to the two frequency local maxima at scores of 13 and 14.

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the number of degrees in the smaller angle is 60 degrees.

The smaller angle is 60 degrees.

Let x = number of degrees in the smaller angle

Then the number of degrees in the larger angle = 3x

Given that the two angles are in the ratio of 2 to 3

2x = 3x

x = 60

Therefore, the number of degrees in the smaller angle is 60 degrees.

The two supplementary angles are supplementary angles because the sum of their angles is 180 degrees. This means that if we denote the number of degrees in the smaller angle as x, then the number of degrees in the larger angle must be 180-x. We know that their ratio is 2 to 3, which can be written as 2x = 3(180-x). Solving this equation gives us x = 60, so the number of degrees in the smaller angle is 60.

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Answer:

Step-by-step explanation:

The hydrogen ion concentration of a solution can be calculated from the pH using the equation:

[H*] = 10^(-pH)

So for the apple juice with a pH of 3.1:

[H*(apple juice)] = 10^(-3.1) = 0.0005

And for the drinking water with a pH of 8.3:

[H*(drinking water)] = 10^(-8.3) = 1.7 x 10^(-9)

To find the ratio of the hydrogen ion concentration in apple juice to that in drinking water, we divide the concentration of the apple juice by the concentration of the drinking water:

[H*(apple juice)] / [H*(drinking water)] = 0.0005 / (1.7 x 10^(-9)) = 2.94 x 10^9

Therefore, the hydrogen ion concentration in apple juice is 2.94 x 10^9 times the concentration in drinking water.

_____________________________________________________

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Without more information about the specific situation (such as the height from which the bottle is dropped, the surface on which it is dropped, and so on), a value for p cannot be determined.

The probability of landing a bottle on the floor on any given try is a fixed value, typically represented by "p".

The probability that he will land the bottle on the floor on the tenth try is then given by:

P(tenth attempt landing) = (1 - p)9 * p

where (1 - p)9 represents the probability that he fails to land the bottle on the floor in the first nine attempts, and p represents the probability that he lands the bottle on the floor on the tenth attempt.

However, without more information about the specific situation (such as the height from which the bottle is dropped, the surface on which it is dropped, and so on), a value for p cannot be determined.

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Answer:

Step-by-step explanation:

Answer:

B. No solution

Step-by-step explanation:

The output of an absolute value function can never be a negative number.

Absolute value is the distance between a number |x| and 0 and that distance will always be positive.

Answer: B: No solution

Step-by-step explanation:

The simplified expression is (11/4)z + (15/2).

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3/4 (z + 2/5) + 2z

Multiplication over addition.

= (3/4)z + (3/4)x(2/5) + 2z

= (3/4)z + (15/2) + 2z

Combining the like terms.

= (3/4)z + 2x + (15/2)

= (11/4)z + (15/2)

Thus,

(11/4)z + (15/2) is the simplified expression.

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Answer:

Kenmar can make 7 packages of peppers, since 28 divided by 4 is 7. To solve, I divided 28 by 4 and got the answer of 7.

Step-by-step explanation:

The probability that an adult has a great deal of confidence in both scientists and religious leaders is equal to A x B = (43/100)(17/100) = 0.0721, or p = 7.21%.

I choose option 1. The percent of surveyed U.S. adults who had a great deal of confidence in both scientists and religious leaders is equal to p%.

To calculate p, we use the multiplication rule, which states that the probability of two independent events occurring together is equal to the product of their individual probabilities.

In this case, let A be the probability that an adult has a great deal of confidence in scientists, and let B be the probability that an adult has a great deal of confidence in religious leaders.

A = 43/100

B = 17/100

Therefore, the probability that an adult has a great deal of confidence in both scientists and religious leaders is equal to A x B = (43/100)(17/100) = 0.0721, or p = 7.21%.

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Answer: x3

Step-by-step explanation:

Answer:

Answer for X

[tex]4x + y = 10[/tex]

[tex](4x + y) + ( - y) = 10 - y[/tex]

[tex]4x = 10 - y[/tex]

[tex] \frac{4x}{4} = \frac{10 - y}{4} [/tex]

[tex]x = \frac{10 - y}{4} [/tex]

Answer for y

[tex]4x + y = 10[/tex]

[tex](4x + y) + ( - 4x) = 10 - 4x[/tex]

[tex]y = 10 - 4x[/tex]

The discount in the price of the headphones is of $17.67

If we apply a discount of D (D is the percentage in decimal form).

Then the new value (using A as the initial value) is:

A' = A*(1 - D)

If instead, we have an increase of I (also in decimal form) the new value is:

A' = A*(1 + D)

Here the original value is $57, and we have a discount of 0.4 and an increase of 0.15, then the new value will be:

A' = $57*(1 - 0.4)*(1 + 0.15) = $39.33

Then the discount is of:

$57 - $39.33 = $17.67

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Answer:

x=9

y=15

Step-by-step explanation:

Since it is a parallelogram, there is a property of a parallelogram that says that opposite sides are congruent/equal. So x would equal to 9 and y is equal to 15

Answer:

Step-by-step explanation:

X = 9

Y = 15

The ratio of the area of the smaller circle to the area of the larger circle is 1/2.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

From the information, the square is inscribed in a circle and then a smaller circle is inscribed in the square.

Let the radius of smaller circle be 2r, then length of side of larger square is ✓2r and the length of side of smaller square is  

The ratio of area of smaller square to larger square is:

= 4r² / 4(✓2r)²

= 1/2

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The greatest value of GHI that can be achieved using digits 1 through 9, where each letter is represented by a different digit, is 984.

The greatest value of GHI can be found using the following formula:

GHI = 987 - (ABC + DEF)

Using this formula, we can solve for GHI by substituting the values for ABC, DEF, and 987. For the highest value of GHI, we can set ABC and DEF to the lowest possible values, 1 and 2 respectively. This gives us the following equation:

GHI = 987 - (1 + 2)

GHI = 984

Therefore, the greatest value of GHI that can be achieved using digits 1 through 9, where each letter is represented by a different digit, is 984.

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In Indiana become adults, and the number of children in Indiana increases by 2% as a result of births and immigration. If we let c0 = 6 million and a0 = 4 million.

Then the population of Indiana can be modeled by the following recursive equation:

ct = (1 + 0.02) * ct-1 + 0.05 * at-1

at = (1 - 0.05) * ct-1

This equation models the growth of the population of Indiana based on the number of children and adults in the previous year, taking into account the conversion of children into adults and the growth in the number of children.

The given information states that during any given year, 5% of all children become adults, while adults stay the same. Hence, the number of adults in year t can be determined as follows:

at = (1 + 0.05) * ct-1

Where ct-1 is the number of children in the previous year. This equation reflects that the number of adults in year t is the sum of the adults from the previous year plus 5% of the children in the previous year.

This model assumes that the growth in the number of adults is solely dependent on the children becoming adults, and no other factors, such as migration, birth, or death, are considered. This model is also based on the assumption that 5% of the children will become adults each year, which may not hold true in reality.

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The sample space of possible codes for the wireless garage door opener is 4096.

(a) The sample space for this batch of printed circuit boards would be 98 total boards, ordered such that the non-defective boards are first (90 boards), followed by minor defects (8 boards) and major defects (0 boards). The total number of ordered samples is given by the formula: nPr = n!/(n-r)! where n is the total number of boards in the batch and r is the number of boards selected from the batch. In this case, n = 98 and r = 2, making the total number of ordered samples 9703.

(b) The sample space for this batch of printed circuit boards would be 99 total boards, ordered such that the non-defective boards are first (90 boards), followed by minor defects (8 boards) and major defects (1 board). The total number of ordered samples is given by the formula: nPr = n!/(n-r)! where n is the total number of boards in the batch and r is the number of boards selected from the batch. In this case, n = 99 and r = 2, making the total number of ordered samples 9801.

For the wireless garage door opener, the code is determined by the up or down setting of 12 switches. This means that each switch can either be up or down for a total of 2 possible settings for each switch. The total number of possible codes is given by the formula [tex]2^12[/tex], which is equal to 4096. This is because each switch has 2 possible settings, and when multiplied by 12 switches, there are [tex]2^12[/tex] possible combinations. Therefore, the sample space of possible codes for the wireless garage door opener is 4096.

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Answer:

Step-by-step explanation:

e.g. r = 2i – k + λ(4i – 7j + 5k).

The amount of radioactive kind of nitrogen will be left after 30 minutes

is 240 grams.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A radioactive kind of nitrogen has an initial mass of 1930 grams and it has a half-life of 10 minutes.

Therefore, The amount of radioactive kind of nitrogen that will be there after 30 minutes is,

= 1920/2³.    (As 30 = 10×3)

= 1920/8.

= 240 grams.

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