Someone please help me ASAP

d. the second derivative is available Taylor Series methods of order greater than one for ordinary differential equations require the second derivative of the solution to be available.

These methods use a Taylor series expansion to approximate the solution of an ordinary differential equation. The Taylor series is a polynomial representation of a function in terms of its derivatives evaluated at a particular point. By computing higher order derivatives at the initial point, a higher order Taylor series can be constructed, which provides a more accurate approximation of the solution. Therefore, to use Taylor Series methods of order greater than one, the second derivative of the solution must be available.

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6 students can be seated in a row of 6 chairs in 121 ways.

Given,

Number of students = 6

Number of chairs = 6

We have to find the number of ways the students can be seated in a row.

Here,

Jack insists on sitting in the first chair.

So, 1 way of sitting for jack.

Next,

5 students and 5 chairs are there.

So they can sit in;

5! = 120 ways

Therefore,

Total number of way of sitting is 120 + 1 = 121 ways.

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Explanatory variable: The type of pill the men took each day.

Response variable: Whether a subject had a heart attack.

We have been given that :

Participated candidates are 400

Men are divided randomly so we find out explanatory and response  variable.

The explanatory variable is the variable that is manipulated by the researcher. Explanatory Variable also known as the independent or predictor variable, it explains variations in the response variable; in an experimental study, it is manipulated by the researcher.

Response variable: Response Variable is the result of the experiment where the explanatory variable is manipulated. It is a factor whose variation is explained by the other factors. Response Variable is often referred to as the Dependent Variable or the Outcome Variable.

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Answer:

problem 1 is 70 and problem 3 is 100

Patricia can make 6 burgers in total using 3.75 pounds of hamburger. She can make 3 burgers weighing 0.5 pounds each and 3 burgers weighing 0.25 pounds each.

To determine how many burgers of each size Patricia can make, we need to consider the weights of the burgers and the total amount of hamburger available. Patricia has 3.75 pounds of hamburger, and she can make burgers weighing 0.5 pounds and 0.25 pounds.

Let's start by calculating how many 0.5-pound burgers Patricia can make. Since each burger weighs 0.5 pounds, we divide the total weight of hamburger (3.75 pounds) by the weight of each burger (0.5 pounds):

3.75 pounds / 0.5 pounds = 7.5 burgers.

However, since we cannot make a fraction of a burger, we need to round down to the nearest whole number. Therefore, Patricia can make 7 burgers weighing 0.5 pounds each.

Next, let's calculate how many 0.25-pound burgers she can make. Similar to the previous calculation, we divide the total weight of hamburger (3.75 pounds) by the weight of each burger (0.25 pounds):

3.75 pounds / 0.25 pounds = 15 burgers.

Again, we need to round down to the nearest whole number, so Patricia can make 15 burgers weighing 0.25 pounds each.

In total, Patricia can make 7 burgers weighing 0.5 pounds each and 15 burgers weighing 0.25 pounds each, resulting in a total of 6 burgers using the 3.75 pounds of hamburger.

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The expression (5a)(3a + 2) simplifies to 15a^2 + 10a. This is obtained by multiplying 5a with both terms inside the parentheses using the distributive property. The final result cannot be further simplified. So, Option B is correct. Option B.

To simplify the given expression, (5a)(3a + 2), we apply the distributive property to distribute the factor 5a to both terms inside the parentheses. This involves multiplying 5a by each term separately.

First, we multiply 5a by 3a. Multiplying these two terms gives us 15a^2, where the coefficient 15 comes from multiplying 5 by 3 and the variable a is squared due to the multiplication of two a's.

Next, we multiply 5a by 2. This multiplication results in 10a, where the coefficient 10 comes from multiplying 5 by 2, and the variable a remains unchanged.

Combining the two simplified terms, we have 15a^2 + 10a. This expression cannot be further simplified because there are no like terms to combine.

The term 15a^2 represents the enlarged area of the mural, obtained by multiplying the lengths of the sides of the original square mural (side length a) by the factor 5 and squaring the variable a. The term 10a represents an additional area added during the enlargement process, obtained by multiplying the side length a by the factor 2.

In conclusion, the simplified form of (5a)(3a + 2) is 15a^2 + 10a. So OptioN B is correct.

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The experimental probability of the next menu being from a Chinese restaurant is 1/10.

To find the experimental probability, we need to calculate the ratio of the number of menus from Chinese restaurants to the total number of menus.

In this case, the number of menus from Chinese restaurants is 2, and the total number of menus is the sum of all the types of menus:

Total number of menus = 2 + 9 + 1 + 2 + 6 = 20

Therefore, the experimental probability of the next menu being from a Chinese restaurant is:

P(Chinese) = Number of menus from Chinese restaurants / Total number of menus

= 2 / 20

= 1/10

So, the experimental probability is 1/10.

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Answer:

1/10

Step-by-step explanation:

i have no explanation

Answer:

\( \purple { \bold{ \frac{ (x - 3)}{3x - 18} }}\)

Step-by-step explanation:

\( \frac{x + 3}{ {x}^{2} + 7x + 12 } . \frac{ {x}^{2} + x - 12}{3x - 18} \\ \\ = \frac{x + 3}{ {x}^{2} + 4x + 3x + 12 } . \frac{ {x}^{2} + 4x - 3x - 12}{3(x - 6)} \\ \\ = \frac{x + 3}{ {x}(x + 4) + 3(x + 4) } . \frac{ {x}(x + 4) - 3(x + 4)}{3(x - 6)} \\ \\ = \frac{ \cancel{(x + 3)}}{ (x + 4) \cancel{(x + 3)} } . \frac{ (x + 4) (x - 3)}{3(x - 6)} \\ \\ = \frac{1}{ \cancel{ (x + 4)} } . \frac{ \cancel{ (x + 4)} (x - 3)}{3(x - 6)} \\ \\ \red{ \bold{= \frac{ (x - 3)}{3x - 18} }}\\ \\ \)

Answer: 66.5 inches

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

im not sure but it may be B as if i cant see the photo

Step-by-step explanation:

tell me if i got it right or wrong :)

The percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.

Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.

The percent change in height after the first bounce is given by:

Percent change = [(h_1 - original height) / original height] * 100%

Using the given expression, we can substitute x = 1 to find h_1:

h_1 = \(25(0.93)^1\) = 23.25

Therefore, the percent change in height after the first bounce is:

Percent change = [(23.25 - original height) / original height] * 100%

To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:

h_2 = \(25(0.93)^2\)

And the percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.

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The proportion of scores below 12.5 in a normally distributed population with a mean of 10 and a standard deviation of 2 can be calculated using the Z-score and the standard normal distribution table. In this case, we need to find the area under the curve to the left of the value 12.5.

The Z-score is calculated as (X - μ) / σ, where X is the value we want to find the proportion for, μ is the mean, and σ is the standard deviation. Substituting the given values, we have (12.5 - 10) / 2 = 1.25.

Using the standard normal distribution table or a statistical calculator, we can find that the area to the left of a Z-score of 1.25 is approximately 0.8944. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

In a normal distribution, the Z-score measures the number of standard deviations a value is from the mean. By calculating the Z-score for the value 12.5, we can use the standard normal distribution table to find the proportion of scores below that value.

The table provides the cumulative probability up to a certain Z-score. In this case, the Z-score of 1.25 corresponds to a cumulative probability of approximately 0.8944.

Since the normal distribution is symmetric, the proportion of scores above 12.5 is equal to the proportion below the mean minus the proportion below 12.5.

Hence, subtracting 0.8944 from 1 (or 100%) gives us approximately 0.1056 or 10.56%. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

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Answer:

11

Step-by-step explanation:

Alayna needs 11 hours of work.

divided 71.50 by 6.50

71.50 / 6.50

Answer:

She would need to work 11 hours.

Step-by-step explanation:

You would have to do 71.50 divided by 6.50 and it would give you your answer.

Answer:

x = 3

Step-by-step explanation:

The midsegment is half the sum of the parallel bases, that is

\(\frac{1}{2}\) (3x + 3 + 4x + 2) = 13

\(\frac{1}{2}\) (7x + 5) = 13 ( multiply both sides by 2 )

7x + 5 = 26 ( subtract 5 from both sides )

7x = 21 ( divide both sides by 7 )

x = 3

The points on the x-axis that are at a distance of 25‾√ from point P(2, -3, -1) are x = 2 + (√585)/2 and x = 2 - (√585)/2.



To find the points on the x-axis that are at a distance of 25‾√ from point P(2, -3, -1), we need to consider the coordinates of the points on the x-axis.

Since we are dealing with the x-axis, the y and z coordinates of the points will be zero. Let's assume the coordinates of the points on the x-axis as (x, 0, 0).

The distance between two points can be calculated using the distance formula:Distance = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

In this case, the coordinates of point P are (2, -3, -1) and the distance is given as 25‾√. Plugging these values into the distance formula, we get:

25‾√ = √((x - 2)^2 + (-3 - 0)^2 + (-1 - 0)^2)

Simplifying further:

625/4 = (x - 2)^2 + 9 + 1

625/4 = (x - 2)^2 + 10

Solving for x:

(x - 2)^2 = 625/4 - 10

(x - 2)^2 = 625/4 - 40/4

(x - 2)^2 = 585/4

Taking the square root of both sides:

x - 2 = ±√(585/4)

x = 2 ± (√585)/2

Therefore, the points on the x-axis that are at a distance of 25‾√ from point P(2, -3, -1) are x = 2 + (√585)/2 and x = 2 - (√585)/2.

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If two polygons are similar the corresponding sides must be proportional (option a).

If two polygons are similar, it means that they have the same shape but possibly different sizes. In similar polygons, the corresponding angles are equal, and the corresponding sides are proportional. This means that the ratios of the lengths of corresponding sides in the two polygons are equal. Therefore, the correct answer is that the corresponding sides must be proportional. The correct option is a.

The complete question is:

If two polygons are SIMILAR, then the corresponding sides must be

a. proportional

b. congruent

C. parallel

d. similar

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Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

The name of the angles are;

a. <1 and <8 = Corresponding angles

b.<1 and <7 = Same side exterior corresponding angles

c. <4 and <8 = Same side exterior corresponding angles

d. <4 and <5 = Alternate angles

e. <4 and <2 = Supplementary angles

f.  <4 and <1 = Corresponding angles

To determine the name of the angles, we need to know the following;

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A control chart that measures variables measures characteristics that can be measured on a continuum of value like weight and volume.

Control diagrams are a measurable instrument used to screen and control processes over the long haul. They are utilized to follow factors that can be estimated on a consistent scale, like weight, volume, temperature, or time. These factors are not discrete, yet rather fall along a reach or continuum of values. By plotting information over the long haul on a control graph, a cycle can be observed to guarantee that it stays inside a predetermined scope of OK variety. The control diagram gives a visual portrayal of the cycle information, permitting process proprietors to recognize when the interaction is crazy or when it might require remedial activity. Generally, control outlines that action factors assist with guaranteeing the nature of the cycle yield by empowering process proprietors to distinguish and address issues before they bring about deformities or mistakes.

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Answer:

6 hours.

Step-by-step explanation:

To find out her speed, divide 174 by 3.

She is driving 58mph.

Now, divide 348 by 58 to see how many hours it will take.

348/58=6.

6 hours.

The probability of rolling a 2 is 1/6 since there are 6 possible outcomes on a die. The probability of spinning an A is 1/8 since there are 8 possible outcomes on the spinner.

To find the probability of both events happening, we multiply the probabilities:

P(rolling a 2, spinning an A) = (1/6) x (1/8)

Simplifying the fraction, we get:

P(rolling a 2, spinning an A) = 1/48

To find the probability of Gary rolling a 2 and spinning an A, you'll need to multiply the individual probabilities together.

The die has 6 sides, so the probability of rolling a 2 is 1/6.

The spinner has 8 letters, so the probability of spinning an A is 1/8.

Now, multiply the probabilities: (1/6) × (1/8) = 1/48

So, the probability of rolling a 2 and spinning an A is 1/48.

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Apply the compound interest formula:

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

Where:

A = value of investment + interest

P = principal amount = $6,200

r= interest rate ( in decimal form) = 4.9/100 = 0.049

n= number of compounding periods

t= number of years

Replacing:

1 year = 12 months

11 months = 0.92 years

a. 11 months

A = 6,200 (1 + 0.049/12 ) ^ 12 x 0.92

A = 6,200 ( 1.004083333)^ 11

A = $6,484.24

b.For 6 years

A = 6,200 (1 + 0.049/12)^12 x 6

A = $8,314.08

Answer: h= V/2πr^2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The number expression is:

= 3.1 + (-6.3)

To find the absolute value of 3.1 + (-6.3):

= |3.1 + (-6.3)|

= |3.1 - 6.3|

= |-3.2|

= 3.2

Thus, the absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.

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The value for the washer/dryer combo after 4 years is  1,357.2 dollars.

We know that Emma pays $2,600 for a washer/dryer combo. Each year, the appliance loses 15% of its resale value, then the value after x years is modeled by the exponential decay.

V(x) = 2,600*(1 - 0.15)ˣ

The value after 4 years is what we get when we evaluate this in x = 4, we will get:

V(4) = 2,600*(1 - 0.15)⁴

Simplify that:

V(4) = 1,357.2

The value is after 4 years of the washer/dryer is 1,357.2 dollars.

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Answer:

B

Step-by-step explanation:

There is 1 oboe for every seven clarinets, so the ratio is 1/7

all the answers in the one are just 1/7 written differently, but when you reduce them all, they all end up being 1/7.

The bottom of the ladder is moving away from the wall at a rate of 4 ft/s when the bottom is 8 ft from the wall.

The bottom of the ladder is moving away from the wall at a rate of 2 ft/s when the bottom is 8 ft from the wall. This is due to the fact that the ladder is leaning against the wall.

When the top of the ladder slides down the wall at a rate of

2 ft/s,

the bottom of the ladder will also be moving away from the wall at the same rate.

The rate of movement of the bottom of the ladder is determined by the angle of the ladder and its height.

To calculate the rate at which the bottom of the ladder is moving,

we need to use the Pythagorean Theorem.

Since

the height of the ladder is 16 ft

and the bottom of the ladder is 8 ft away from the wall,

the hypotenuse of the triangle will be the side of the triangle opposite the right angle and its length will be

16 - 8 = 8 ft.

Thus, the rate at which the bottom of the ladder is moving away from the wall is 8/2 = 4 ft/s.

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