Nick has recently learned to feed himself. he can scribble and talk in halting words. he continuously wants to experiment with new things and throws temper tantrums at times. which stage of life is nick going through

Answer:

Plan A last for 30 minutes

Plan B last for 45 minutes

Step-by-step explanation:

There are two plans:

Plan A

Plan B

Monday

Plan A=3 clients

Plan B=2 clients

Total hours=3

Tuesday

Plan A=5 clients

Plan B=6 clients

Total hours=7

The equation for the unknown

3A + 2B=3 (1)

5A + 6B=7 (2)

Multiply (1) by 3 and (2) by (1)

9A + 6B=9 (3)

5A + 6B=7 (4)

Subtract (4) from (3)

4A=2

Divide both sides by 4

4A/4 = 2/4

A=1/2 hours

Substitute A=1/2 into (1)

3A + 2B=3

3(1/2) +2B=3

3/2 + 2B=3

2B= 3 - 3/2

2B= 6-3/2

2B=3/2

Divide both sides by 2

B=3/2÷2

=3/2×1/2

B=3/4 hours

A=1/2 hours

B=3/4 hours

60 minutes=1 hour

A=1/2 hours

1/2 × 60 minutes

=60/2

=30 minutes

B=3/4 hours

=3/4×60 minutes

=180/4

=45 minutes

Plan A last for 30 minutes

Plan B last for 45 minutes

Answer:

1. binomial

2. trinomial

3. binomial

4. monomial

5. monomial

6. trinomial

monomial has only a single value, binomial two and trinomial three values.

A change in a population that is not related strictly to the size of the population can be described as a change in the demographic makeup of the population. This refers to changes in the characteristics of individuals within the population, such as age, gender, education level, and ethnicity.

For example, if a population experiences an influx of young adults, this would represent a change in the demographic makeup of the population, even if the overall size of the population remains the same.

Other factors that can contribute to a change in the population's makeup include migration patterns, changes in birth rates and mortality rates, and shifts in cultural or social norms. These changes can have significant impacts on a population, affecting everything from economic growth to social dynamics. Understanding demographic changes is therefore critical for policymakers and researchers seeking to address issues such as inequality, public health, and urban planning. By analyzing population trends and anticipating future changes, we can better prepare for the challenges and opportunities that lie ahead.

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Answer: A = 615.44 m^2

Step-by-step explanation:

area = π · r^2

= 3.14(14)^2

Answer:

Yes, because 9 is in the hundreths place and 3 is in the tenths

Step-by-step explanation:

Answer:

Step-by-step explanation:

no because 0.3 is the same as 3/10 and 0.9 is the same as 9/10 wich is greater

Answer:

its none

Step-by-step explanation:

To determine how many papers the newspaper boy should order each day, we need to consider his profit margin. His profit is the difference between the revenue earned from selling the papers and the cost of buying them.

The revenue earned is the number of papers sold multiplied by the selling price of $0.50. The cost of buying the papers is the number of papers ordered multiplied by the buying price of $0.30. Let's say he orders x papers each day. The expected value of his revenue can be calculated as x multiplied by the mean of 100 papers,

which is 100x. The expected value of his cost can be calculated as x multiplied by the buying price of $0.30, which is 0.3x. His profit can then be calculated as the difference between his revenue and cost, which is 0.2x (since the selling price of $0.50 minus the buying price of $0.30 is $0.20 profit per paper).

To maximize his profit, he should order the number of papers that gives him the highest expected profit. This occurs at the point where the deviation from the mean is zero. In other words, he should order the number of papers that gives him the highest probability of selling all of them, without having any unsold papers that he needs to throw away.

Using the formula for standard deviation, we can calculate that the probability of selling all 100 papers is 68.3%. The probability of selling 101 papers is slightly lower at 64.2%, while the probability of selling 99 papers is also slightly lower at 64.2%.

Therefore, to maximize his profit, the newspaper boy should order 100 papers each day, since this gives him the highest probability of selling all of them without having any unsold papers. This would give him a daily profit of $10 (100 papers sold x $0.20 profit per paper).

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The particular solution to the given differential equation with the initial condition y(2) = 5 is y = eˣ + (5 - e²). Therefore, the correct option is c.

To find the particular solution to the given differential equation dy/dx = eˣ with the initial condition y(2) = 5, we can integrate both sides of the equation.

∫dy = ∫eˣ dx

Integrating, we get:

y = eˣ + C

where C is the constant of integration. To find the value of C, we can substitute the initial condition y(2) = 5 into the equation:

5 = e² + C

Solving for C, we have:

C = 5 - e²

Substituting this value of C back into the equation, we obtain the particular solution:

y = eˣ + (5 - e²)

So, the correct option is c.

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To calculate the reliability of the system, we need to consider the probabilities of each component functioning properly and apply the appropriate reliability model.

In this scenario, components A and B function properly with a probability of 0.95 each, while components C and D function properly with a probability of 0.85 each.

Assuming the components are independent, we can use the multiplication rule to calculate the overall reliability of the system. According to the multiplication rule, the reliability of the system is equal to the product of the reliabilities of its individual components.

Reliability of system = Reliability of A * Reliability of B * Reliability of C * Reliability of D

Reliability of system = 0.95 * 0.95 * 0.85 * 0.85

By multiplying the individual component reliabilities, we can determine the reliability of the entire system. The result will provide a measure of the probability that the system functions properly.

Please note that this calculation assumes the components are independent, meaning the failure or success of one component does not affect the others. Additionally, this calculation assumes a simple serial configuration, where all components must function properly for the system to work. Other system configurations may require different reliability models to be applied.

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Answer:

where is the data from the table?

In this case, option (F) is the correct choice, because there are at least 10 expected "successes" and 10 expected "failures" in the sample, which satisfies the requirement for constructing a confidence interval for a proportion.

The question provides information about a survey conducted by a polling company to measure political opinions.

The survey asked a random sample of 361 adults whether they think things in the country are going in the right direction or the wrong direction, and 47% responded that things were going in the wrong direction.

The question is asking whether the assumptions and conditions required to apply a confidence interval are met.

To apply a confidence interval, we assume that the sample is a simple random sample from the population of interest, and that the sample size is sufficiently large.

Moreover, for constructing a confidence interval for a proportion, we also require that there are at least 10 expected "successes" and 10 expected "failures" in the sample.

Option (B) is incorrect because a simple random sample is one of the assumptions required to apply a confidence interval, and the question states that the sample is a random sample.

Option (C) is incorrect because the sample size is large enough for constructing a confidence interval.

Option (D) and option (E) are incorrect because they do not accurately reflect the conditions required to apply a confidence interval for a proportion.

Option (A) and option (G) are not correct choices because they do not accurately address the assumptions and conditions required to apply a confidence interval for a proportion.

Therefore, the correct answer is (F), i.e., the assumptions and conditions required to apply a confidence interval are met, including the requirement of having at least 10 expected "successes" and 10 expected "failures".

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Equation of the tangent line: y = x - 2e + 2.The equation of the tangent line to the function y = ln(x) at x = e is y = x - 2e + 2.

To find the equation of the tangent line to the function y = ln(x) at x = e (approximately 2.71828), we need to determine the slope of the tangent line at that point. The slope of the tangent line is equal to the derivative of the function at that point.

Taking the derivative of y = ln(x) with respect to x, we get:

dy/dx = 1/x

Substituting x = e into the derivative, we have:

dy/dx = 1/e

So, the slope of the tangent line at x = e is 1/e.

Next, we use the point-slope form of a linear equation to find the equation of the tangent line. Using the point (e, ln(e)), and the slope 1/e, we get:

y - ln(e) = (1/e)(x - e)

Simplifying this equation gives us the equation of the tangent line:

y = x - 2e + 2

The equation of the tangent line to the function y = ln(x) at x = e is y = x - 2e + 2. The tangent line intersects the curve at x = e and has a slope equal to 1/e. When graphed together, the tangent line will touch the curve at x = e and represent the local linear approximation of the function at that point.

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Answer: 2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x) [Work out the brackets]

15x-10=0+6+2x [Solve]

15x-10=16+2x [Convey the terms]

15x-2x=16+10 [Add up the same terms and calculate]

13x=26 [Divide both parts]

x=2

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

2.5(6x - 4) = 10 + 4(1.5 + 0.5x)

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 20 does indeed equal 20.

∴ x = 2 is a solution of the equation.

Answer:

The graph is shown below.

Step-by-step explanation:

The 68-95-99.7 rule, also known as the empirical rule, is a shorthand for remembering the percentage of values in a normal distribution that lie within an interval estimate: 68%, 95%, and 99.7% of values lie within one, two, and three standard deviations of the mean, respectively.

The empirical rule, also known as the three-sigma rule or the 68-95-99.7 rule, is a statistical rule stating that for a normal distribution, nearly all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

The Empirical Rule states that 99.7% of data from a normal distribution is within 3 standard deviations of the mean.

68% of the data is within one standard deviation of the mean, 95% is within two standard deviations, and 99.7% is within three standard deviations, according to this rule.

Three-sigma limits that follow the empirical rule are used to define the upper and lower control limits in statistical quality control charts and risk analysis such as VaR.

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The equation of the line y = 3x + 10 in standard form is 3x - y = -10.

Given the equation of line in the question:

y = 3x + 10

To write the equation of the line in standard form, we need to rearrange the equation so that the x and y terms are on the left side and the constant term is on the right side of the equation.

It is expressed as;

Ax + Bx = C

y = 3x + 10

Subtracting 3x from both sides, we get:

y - 3x = 3x - 3x + 10

y - 3x = 10

Reorder

-3x + y = 10

Multiply each term by -1

-3x(-1) + y(-1) = 10(-1)

3x - y = -10

Therefore, the equation in standard form is 3x - y = -10.

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The dimensions of the corral that will minimize the cost of the fencing are x = 4 yards (width) and y = 325 yards (length).

To begin solving this problem, we need to use the given information to set up an equation that represents the cost of the fencing. Let's start by defining the dimensions of the rectangular corral. We can use x to represent the width and y to represent the length.

Since the area of the corral is 1300 square yards, we know that:

xy = 1300

Now, let's think about the fencing. We need to divide the corral in half with a fence down the middle, which means we have two equal sections with a width of x/2. The length of each section is still y.

To find the perimeter of each section, we add up all the sides. For the top and bottom, we have two lengths of y and two widths of x/2. For the sides, we have two lengths of x/2 and two widths of y. This gives us a perimeter of:

2y + x + 2x + 2y = 4y + 2x

Since we have two sections, the total perimeter is:

2(4y + 2x) = 8y + 4x

We can now set up an equation for the cost of the fencing:

Cost = (8y + 4x)($5) + (x)($3)

The first part of the equation represents the cost of the perimeter fence, while the second part represents the cost of the fence down the middle.

Now, we want to find the dimensions of the corral that will minimize the cost of the fencing. To do this, we can use calculus. We take the derivative of the cost equation with respect to x and set it equal to zero:

dCost/dx = 20y + 3 = 0

Solving for y, we get:

y = -3/20

Since we can't have a negative length, this solution is not valid. However, we can find the minimum cost by plugging in the value of y that makes the derivative equal to zero into the original equation for the cost of the fencing. This gives us:

Cost = (8y + 4x)($5) + (x)($3)
Cost = (8(-3/20) + 4x)($5) + (x)($3)
Cost = (-(12/5) + 4x)($5) + (x)($3)
Cost = -24x + 3x^2 + 3900

To minimize the cost, we take the derivative with respect to x and set it equal to zero:

dCost/dx = -24 + 6x = 0
x = 4

Plugging this value of x back into the equation for the cost of the fencing gives us:

Cost = -24(4) + 3(4^2) + 3900
Cost = $3892

Therefore, the dimensions of the corral that will minimize the cost of the fencing are x = 4 yards (width) and y = 325 yards (length).

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Answer:

the first option i think

An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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Step-by-step explanation:

3x+18+2x-5= -2x+-2+10

combining like terms

3x+2x+2x=5-2+10-18

7x=-5

x=-5/7

Answer:

D. x + 10 pence

Step-by-step explanation:

Since the pen costs 10 pence more than the ruler, we need to add 10 to x.

The unknown angle x in the triangle is 80 degrees

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

The triangle

The unknown angle x is calculated using the sum of angles in a triangle theorem

So, we have

x + 60 + 40 = 180

Evaluate the like terms

x + 100 = 180

So, we have

x = 80

Hence, the unknown angle x is 80 degrees

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Answer:

like terms are numbers or letters that are a like.

y² is the only letter with a square in this problem. Whilst xy and 2xy are the same.

y²+ xy + 2xy

y² there is no letter with square again.

xy+2xy is the same as one orange + two orange.

1 is never written against a letter.

y²+ xy + 2xy

y²+3xy

The simplification that accurately explains the statement 73 = 713A is A = 73/713

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

7 3 = 7 1 3 A.

Express properly

So, we have

73 = 713A

Divide both sides of the equation by 713

So, we have

A = 73/713

Hence, the simplification that accurately explains the statement is A = 73/713

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Answer:

Step-by-step explanation:

Refer to attached diagram with added details.

Circle O with:

Since r = OC + CD, the radius is 4 cm.

Consider right triangles OAC or OBC:

Recall the property of 30°x60°x90° triangle:

It means OC: OA = 1 : 2, so angles AOC and BOC are both 60° as adjacent to short legs.

In order to find the shaded area we need to find the area of sector OADB and subtract the area of triangle OAB.

Area of sector:

Area of triangle AOB:

The shaded area is:

The solution to the systems of equations graphically is (2, 4)

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

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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Answer:

99°

Step-by-step explanation:

We know that angles on a straight line add up to 180° so we can set up an equation to find the value of x.

In an equation it's important to do the operation you want to on both sides because if you do an operation on one side only you will end up changing the whole equation and that will make the value of x wrong so its an important rule to remember.

8x - 13 + 7x - 17 = 180

→ Simplify

15x - 30 = 180

→ Add 30 to both sides to isolate 15x

15x = 210

→ Divide both sides by 15 to isolate x

x = 14

But we are not finished, the specifies us to find ∠MON and we have only found the value of x so we have to substitute x back into 8x - 13 to find the value of ∠MON

8x - 13

→ Substitute x = 14 back into into the expression

8 × 14 - 13

→ Simplify

112 - 13 = 99

So the value of ∠MON is 99°

Answer:

91 hundreths, (1*1)+(9*1/10), .19

<3 love from maddie

Answer:

(1*1)+(9*1/10) then 91 hundreths and last 0.19

Hope it helps!

Answer:

2.05m

Step-by-step explanation: