Can you find the perimeter and area of the figure?

Answer:

67

Step-by-step explanation:

its going up by 5 each time. i just counted that until i got to the thirteenth number. it also seems to be going with the numbers with a "2"or "7" in it. hope this helps!

Answer:67

Step-by-step explanation:

7+5=12 12+5=17 17+5= 7,12,17,22,27,32,37,42,47,52,57,62,67

Answer:

y= x+ 4

Step-by-step explanation:

use y= mx+b where m is the slope and y is the y intercept

in this case the slope is one and y intercept is four

Answer:

\(2x\) is the expression we determine after following the steps 'Start with x and double it'.

Step-by-step explanation:

As we have to determine the expression based on a mentioned series of steps.

The series of steps:

As the double value of x would be 2x, therefore, the required expression would be: 2x

Therefore, \(2x\) is the expression we determine after following the steps 'Start with x and double it'.

Tri-County will have to charge approximately $83.1 per MWh to break even.

To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.

The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.

To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.

Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.

Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh

Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.

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It is predicted that there will be approximately 122 thousand keylogging programs reported in 2014.

To predict the number of keylogging programs that will be reported in 2014, we can use the given information about the growth rate of keylogging programs from 2000 to 2005.

The data indicates that the number of keylogging programs grew approximately exponentially from 0.4 thousand programs in 2000 to 13.0 thousand programs in 2005.

To estimate the number of keylogging programs in 2014, we can assume that the exponential growth trend continued during the period from 2005 to 2014.

We can use the exponential growth formula:

N(t) = \(N0 \times e^{(kt)\)

Where:

N(t) represents the number of keylogging programs at time t

N0 is the initial number of keylogging programs (in 2000)

k is the growth rate constant

t is the time elapsed (in years)

To find the growth rate constant (k), we can use the data given for the years 2000 and 2005:

N(2005) = N0 × \(e^{(k \times 5)\)

13.0 = 0.4 × \(e^{(k \times 5)\)

Dividing both sides by 0.4:

\(e^{(k \times 5)\) = 32.5

Taking the natural logarithm (ln) of both sides:

k × 5 = ln(32.5)

k = ln(32.5) / 5

≈ 0.4082

Now, we can use this growth rate constant to predict the number of keylogging programs in 2014:

N(2014) = N0 × \(e^{(k \times 14)\)

N(2014) = 0.4 × \(e^{(0.4082 14)\)

Using a calculator, we can calculate:

N(2014) ≈ \(0.4 \times e^{5.715\)

≈ 0.4 × 305.28

≈ 122.112

Rounding to the nearest integer:

N(2014) ≈ 122

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Answer: 2

Step-by-step explanation:

List all the factors:

14:

1 x 14

2 x 7

46:

1 x 46

2 x 23

Two is the only greatest number that can go into both 46 and 14.

The given statement is true. The outside bank of a meander that is prone to erosion is known as a cut bank.

As it flows across the land, a river erodes the soil and forms banks. A cut bank is a nearly vertical bank that is also known as a river cliff or river-cut cliff. Cut banks can be found on the river's rim. The river's moving water wears away the earth, resulting in cut banks.

A cut bank, also known as a river cliff or river-cut cliff, is the outside bank of a water channel's constantly eroding curve or meander.

Hence, the given statement is true.

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When we multiply two decimal numbers less than 1 then their product will be less than 1.

What do you mean by fraction?

A number that is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. It is known as an improper fraction if the numerator is bigger and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder. By dividing the numerator by the denominator, any fraction can be expressed in decimal form. One or more digits may repeat indefinitely or the result may come to an end at some point.

If we multiply two decimal numbers less than 1 then their product will also be less than 1. Because we are determining a fractional portion of a quantity, this is the case.

Decimals are frequently multiplied by treating them as whole numbers before placing the decimal point in the result. Where the decimal point is placed in the solution depends on how many digits are present in the factors following the decimal points.

Therefore, when we multiply two decimal numbers less than 1 then their product will be less than 1.

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The other answer choices do not fit the criteria for a binomial distribution because they either have more than two possible outcomes or the experiment is not repeated a fixed number of times.

The answer choice that will follow a binomial distribution is "the number of heads when a fair coin is tossed 10 times".

A binomial distribution is a type of probability distribution that represents the probability of a success or failure outcome in an experiment that is repeated a fixed number of times. In this case, the experiment is tossing a fair coin 10 times and the outcome is either heads or tails.

Since there are only two possible outcomes (heads or tails) and the coin is tossed a fixed number of times (10), this answer choice follows a binomial distribution. The other answer choices do not fit the criteria for a binomial distribution because they either have more than two possible outcomes or the experiment is not repeated a fixed number of times.

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Eventually, the differential equation's general solution is:

y = y_h + y_p

y = c1e^(-2x) + c2e^(-x) - (1/6)e^(-x) + (2/3)

In the context of differential equations, the homogeneous solution of a differential equation is a solution that satisfies the equation when the right-hand side is equal to zero.

To find the particular solution of y'' + 3y' + 2y = 4e^x using the variation of parameters method, we first find the homogeneous solution of the differential equation by setting the right-hand side to zero:

y'' + 3y' + 2y = 0

The characteristic equation is r^2 + 3r + 2 = 0, which factors as (r + 2)(r + 1) = 0. Therefore, the solutions are y_h = c1e^(-2x) + c2e^(-x), where c1 and c2 are constants.

Next, we find the Wronskian of the homogeneous solution:

W(y1, y2) = |e^(-2x) e^(-x) | = e^(-3x)

To find the particular solution, we assume that it has the form y_p = u1(x)e^(-2x) + u2(x)e^(-x), where u1(x) and u2(x) are unknown functions to be determined.

We then find y_p' and y_p'':

\(y_p' = u1'(x)e^(-2x) + u2'(x)e^(-x) - 2u1(x)e^(-2x) - u2(x)e^(-x)y_p'' = u1''(x)e^(-2x) + u2''(x)e^(-x) - 4u1'(x)e^(-2x) - 2u2'(x)e^(-x) + 4u1(x)e^(-2x) + u2(x)e^(-x)u1''(x)e^(-2x) + u2''(x)e^(-x) + u1'(x)e^(-2x) + u2'(x)e^(-x) - 4u1'(x)e^(-2x) - 2u2'(x)e^(-x) + 4u1(x)e^(-2x) + u2(x)e^(-x) = 4e^x\)

Simplifying and grouping terms, we get:

\(u1''(x)e^(-2x) - 3u1'(x)e^(-2x) + u2''(x)e^(-x) - u2'(x)e^(-x) = 4e^x\)

To solve for u1(x) and u2(x), we use the method of undetermined coefficients and assume that they are both linear combinations of the exponential function and its derivative:

u1(x) = A(x)e^x

u2(x) = B(x)e^(2x)

Substituting these expressions into the previous equation and solving for A(x) and B(x), we get:

A(x) = -e^x/6

B(x) = 2e^x/3

Therefore, the particular solution is:

\(y_p = (-e^x/6)e^(-2x) + (2e^x/3)e^(-x)y_p = (-1/6)e^(-x) + (2/3)\)

Eventually, the differential equation's general solution is:

y = y_h + y_p

y = c1e^(-2x) + c2e^(-x) - (1/6)e^(-x) + (2/3)

Therefore, the particular solution of the given differential equation y′′+3y′+2y=4ex is

\(y(x)=c_1e^{-x} + c_2e^{-2x} - 4 + 2e^{x}.\)

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Answer:

The missing term is 10√21.

Step-by-step explanation:

\( \frac{x}{60} = \frac{35}{x} \)

\( {x}^{2} = 2100\)

\(x = \sqrt{2100} = 10 \sqrt{21} \)

This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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Answer:

Standard form:   y = 2x² - 8x + 1

Step-by-step explanation:

We are given the following quadratic function, y = 2(x - 2)² - 7, for which we must transform in its standard form.

The vertex form of a quadratic function is y = a(x - h)² + k (which is the format of the given equation).

⇒  If the value of "a" is positive, then the vertex is its minimum or lowest point on the graph.

⇒  If the value of "a" is negative, then the vertex is the maximum or highest point  on the graph.

The standard form of a quadratic function is y = ax² + bx + c, where a ≠ 0.

The first step in rewriting the given equation into its standard form  is expanding the binomial using the FOIL method, which transforms it into a perfect square trinomial.  

y = 2(x - 2)² - 7

       ⇒   (x - 2)(x - 2)

       ⇒   [ x² - 2x - 2x + 4 ]

y = 2(x - 2)² - 7

y = 2(x² - 2x - 2x + 4) - 7

y = 2(x² - 2x - 2x + 4) - 7

y = 2x² - 4x - 4x + 8 - 7

y = 2x² - 8x + 1.

Therefore, the quadratic function in standard form is y = 2x² - 8x + 1, where a = 2, b = -8, and c = 1.

_____________________________

Quadratic equations

Parabola

Quadratic functions

Vertex form

Functions

______________________________

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Answer:

\(\displaystyle y = 2x^2 - 8x + 1\)

Step-by-step explanation:

All you are doing is perfourming order of operations and using the Distributive Property. Here is how it is done:

\(\displaystyle y = 2(x - 2)^2 - 7 \hookrightarrow y = 2(x^2 - 4x + 4) - 7 \hookrightarrow y = 2x^2 - 8x + 8 - 7 \\ \\ \boxed{y = 2x^2 - 8x + 1}\)

I am joyous to assist you at any time.

Answer:

okay so I can complete this BY tommorow at 6:00pm Eastern Standard Time which is 7pm central time and 4AM mountain time. All of which is monday.  Sound good?

Step-by-step explanation:

ALSO. 4, 5, 6 are PAGES 4, 5, 6 or the second second page? the pages go 1, 2, 1, 2, 3, final. Or am I answering 2. D?

Answer:

Delivery cost per minute = $0.3 per minute

Step-by-step explanation:

Given:

Cost of pizza = $12

Total amount pay by Ruby = $15

Time taken for delivery = 10 minutes

Find:

Delivery cost per minute

Computation:

Total amount of delivery = Total amount pay by Ruby - Cost of pizza

Total amount of delivery = 15 - 12

Total amount of delivery = $3

Delivery cost per minute = Total amount of delivery / Time taken for delivery

Delivery cost per minute = 3 / 10

Delivery cost per minute = $0.3 per minute

An approach of assigning probabilities which assumes that all outcomes of the experiment are equally likely is referred to as the "equally likely" or "classical" probability approach

The equally likely or classical probability approach assumes that each possible outcome of an experiment is equally likely to occur. This approach is based on the principle of symmetry and assumes that there is no inherent bias or preference towards any particular outcome

This approach is used for situations where there is no inherent bias or preference towards any particular outcome, and each outcome is considered equally likely to occur.

Therefore, the approach is classical probability approach

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A factory produces 72 bottles of juices in one minute.

Meaning of rate:

A rate is a special ratio in which two words are expressed using different units. The price is $69 for 12 ounces of corn if a 12-ounce can costs that much. This is not a ratio of two comparable units, like shirts, for example. This is a ratio between the units of cents and ounces.

We must divide the quantity of bottles produced by the time it takes to make them in order to determine the factory's production rate in bottles per minute. The factory in this instance produced 360 bottles in 5 minutes, resulting in the following production rate:

= 360 bottles / 5 minutes

= 72 bottles/minute

This means that the factory produces 72 bottles of juice per minute.

Hence, the factory produces 72 bottles of juice per minute.

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The following question may be like:

A factory bottles 360 bottles of juice in 5 minutes. Find the factory's unit rate of bottles per minute.

Answer:

b

Step-by-step explanation:

Ai Mi's total cost after the discount but before tax would be $33.93. Rounded to the nearest cent, this is equal to $33.94.

Cost refers to the total amount of money, time, effort, or resources that are required to produce or acquire a particular good or service. It can be expressed in monetary terms or other units of measurement depending on the context. Cost plays a crucial role in decision-making for individuals, businesses, and governments.

If Ai Mi has a 13% discount, it means that she will pay only 87% of the total cost of the items.

So, the cost after the discount can be calculated as:

$39 x 0.87 = $33.93

Therefore, Ai Mi's total cost after the discount but before tax would be $33.93. Rounded to the nearest cent, this is equal to $33.94.

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Answer:

17, 19, 21

Step-by-step explanation:

x = first number

x+2 = second number

x+4 = third number

4x + 3(x+2) + 2(x+4) = 167

simplify:

4x + 3x + 6 + 2x + 8 = 167

combine like terms:

9x + 14 = 167

subtract 14 from each side of the equation:

9x = 153

divide both sides by 9:

x = 17

We can calculate probability when coin is flipped by \(C(n, k) / 2^n\)

To calculate the probability of getting an equal number of heads and tails when a fair coin is flipped n times, we'll use the binomial coefficient formula. Here's a step-by-step explanation:

1. Ensure that n is an even number, as an equal number of heads and tails is only possible with an even number of flips.

2. Divide n by 2 to find the number of heads (or tails) required for an equal outcome. Let's call this k.

3. Calculate the binomial coefficient, which is the number of ways to choose k heads (or tails) from n flips. This is represented as C(n, k) or "n choose k" and can be calculated using the formula:

  C(n, k) = \(n! / (k!(n-k)!)\)

  where n! is the factorial of n (n*(n-1)*...*1), and similarly for k! and (n-k)!.

4. Calculate the total possible outcomes for n coin flips. Since there are 2 possible outcomes (heads or tails) for each flip, there are \(2^n\)total outcomes.

5. Calculate the probability of getting an equal number of heads and tails by dividing the number of favorable outcomes (C(n, k)) by the total possible outcomes (2^n):

  Probability =\(C(n, k) / 2^n\)

By following these steps with your given value of n, you can find the probability of getting an equal number of heads and tails when flipping a fair coin n times.

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Using Pythagorean theorem, the distance between the two object is and the distance between the two objects is changing at a rate of 3 cm/s.

To solve this problem, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the hypotenuse is the distance between the two objects. The other two sides are the distances to the magnetic force from object A and object B.

We can set up the equation as follows

(distance between objects)² = (distance to magnetic force from object A)² + (distance to magnetic force from object B)²

Plugging in the values, we get:

(distance between objects)² = (8 cm)² + (10 cm)²

(distance between objects)² = 64 cm² + 100 cm²

(distance between objects)² = 164 cm²

Taking the square root of both sides, we get:

distance between objects = 12.8 cm

The distance between the two objects is changing at a rate of 3 cm/s. This is because the distance to the magnetic force from object A is increasing at a rate of 4 cm/s, and the distance to the magnetic force from object B is increasing at a rate of 5 cm/s. The total change in distance is therefore 9 cm/s, and since the distance between the two objects is 12.8 cm, the rate of change of the distance between them is 3 cm/s.

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Answer:

The bearing of A from B is 122°

The ordered pair that is the solution of the given system of inequalities is (2, -2)

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,

The inequalities are,

y < -x....(i)

2x+y > 2

y < 2-2x...(ii)

To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =

-x = 2 - 2x

x = 2

y = -2

Therefore, the ordered pair, is (2, -2) {look at the graph attached}

Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)

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Answer:

7

Step-by-step explanation:

The middle 2 numbers are 6 and 8. Add them both up and divide them by 2. Gets you 7.

The greatest possible third term is when the sum of four positive integers that form an arithmetic sequence is $46 is 15

The sum of the first n terms of an arithmetical sequence is given by

n/2[2a +(n-1 d])

Where a is the first term and d is the common difference. In this situation, n=4 and the sum is 46, substituting these values,

4a +6d = 46

2a+3d=23, ……………………………………………………………..1

The nth term is given by a+(n-1)d, and we are looking at the 3rd term

so: a +2d must be a maximum

from (1): 3d=23–2a as all terms are integers, 23–2a must divisible by 3

This means that that a can only be 1, 4, 10or giving values of d, as 7, 5,1 respectively and the third term can be : 15, 14, 12 among these 15 is the largest.

Therefore if the sum of four positive integers that form an arithmetic sequence is $46$. of all such possible sequences, then the greatest possible third term will be 15

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The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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