Which word describes the
slope of the line?
-positive
-negative
-zero
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Using Euler's Method with a step size of h = 0.1, the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 are:

t = 0.1: y ≈ 1.1

t = 0.2: y ≈ 1.22

t = 0.3: y ≈ 1.34

t = 0.4: y ≈ 1.47

t = 0.5: y ≈ 1.61

To use Euler's Method, we start with an initial condition. In this case, the given initial condition is y(0) = 1. We can then iteratively calculate the approximate values of the solution at each desired time point using the formula:

Yn = Yn-1 + h * F(Xn-1, Yn-1)

Here, h represents the step size (0.1 in this case), Xn-1 is the previous time point (t = Xn-1), Yn-1 is the solution value at the previous time point, and F(Xn-1, Yn-1) represents the derivative of the solution function.

For the given differential equation +2y = 2 - ey, we can rearrange it to the form y' = (2 - ey) / 2. The derivative function F(Xn-1, Yn-1) is then (2 - eYn-1) / 2.

Using the initial condition y(0) = 1, we can proceed with the calculations:

t = 0.1:

Y1 = Y0 + h * F(X0, Y0)

= 1 + 0.1 * [(2 - e^1) / 2]

≈ 1 + 0.1 * (2 - 0.368) / 2

≈ 1 + 0.1 * 1.316 / 2

≈ 1 + 0.1316

≈ 1.1

Similarly, we can calculate the approximate values of the solution at t = 0.2, 0.3, 0.4, and 0.5 using the same formula and previous results.

Using Euler's Method with a step size of h = 0.1, we found the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 to be 1.1, 1.22, 1.34, 1.47, and 1.61, respectively.

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Answer:

2x+10

Step-by-step explanation: First you have to distribute the two, into the parenthesis. Which brings it to 2x+6+4 and then you just combine the 6 and 4 making it a ten so 2x+10

The 9th term of this geometric sequence 10, 40, 250, 1250, ....​ include the following: 655,360.

In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical equation (formula):

aₙ = a₁rⁿ⁻¹

Where:

Next, we would determine the common ratio as follows;

Common ratio, r = a₂/a₁

Common ratio, r = 40/10

Common ratio, r = 4

For the 9th term, we have:

a₉ = 10(4)⁹⁻¹

a₉ = 655,360.

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In conclusion, Amy used a snowball sampling method to collect data for her survey. This method is useful when the population is hard to locate or identify, and when other sampling methods are not possible

Amy used a snowball sampling method. Snowball sampling is a non-probability sampling method where the participants recruit other members of the population.

It is useful when the population is difficult to locate or identify, as it relies on word of mouth or referrals from already recruited participants. In this case, Alfred was able to introduce other international students who might be interested in participating in Amy's survey. This allowed Amy to collect enough data to conduct her analysis. Snowball sampling is useful when the sample size is not known, when time is limited, or when a random selection is not possible.

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Answer:

Step-by-step explanation:

ISSA PARADE INSIDE MY CITY YEAHHHHH

The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.

If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.

A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.

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Answer:

10*n / t

Step-by-step explanation:

10 containers of n flowers

t centerpieces

because the amount of flowers in each container is 10*n (container x flowers)

and its divided amoung the centerpieces.  "She divides the total number of flowers evenly among the centerpieces."

Answer:

D 10n

Step-by-step explanation:

ITS RIGHT ON EDGE

Step-by-step explanation:

It's a right angled triangle.

Statement                                     Reason

∠1 = ∠2, WX = ZY                            Given

WP = ZP                                         converse of isosceles triangle  theorem

△WXP ≅ △ZYP                              SAS

XP = YP                                           CPCT

∠3 = ∠4                                          Isosceles triangle  teorem

What is the isosceles triangle?

A triangle's corresponding angles are congruent if its two sides are.

Given that ∠1 = ∠2, WX = ZY.

Statement 1 is given.

According to the converse of the isosceles triangle theorem:

WP = ZP  

SAS rule: If the two sides and an included angle of one triangle match the two sides and an included angle of the other, then two triangles are said to be congruent. This is referred to as SAS congruency.

In triangles △WXP and △ZYP:

∠1 = ∠2

WX = ZY.

WP = ZP

According to SAS rule,  △WXP ≅ △ZYP

By CPCT, XP = YP

Again the isosceles triangle theorem ∠3 = ∠4.

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Answer: $22.68

Step-by-step explanation:

17.50 times 0.08 = 1.40

17.50 + 1.40 = 18.90

Now the tip:

18.90 times .2 = 3.78

18.90 + 3.78 = 22.68

The model suggests that the greatest oil imports to the United States occurred in the year 2006, with an estimated volume of approximately 1.55 million barrels per day.

To find the year when oil imports were greatest, we need to determine the maximum value of the function l(t) = -0.015t^2 + 0.1t + 1.4, where t represents the time in years since the start of 2000. This is a quadratic function with a downward-opening parabola.

To find the vertex (which represents the maximum point), we can use the formula t = -b / (2a), where a and b are the coefficients of the quadratic function. In this case, a = -0.015 and b = 0.1.

t = -0.1 / (2 * -0.015) = -0.1 / -0.03 = 3.33 years.

Since t represents the time since the start of 2000, we add 2000 and round down to the nearest whole number to obtain the year: 2000 + 3 = 2003.

Therefore, the model suggests that the greatest oil imports to the United States occurred in the year 2003.

To find the corresponding volume of oil imports, we substitute t = 3 into the function l(t):

l(3) = -0.015(3)^2 + 0.1(3) + 1.4 = -0.135 + 0.3 + 1.4 = 1.565 million barrels per day.

Rounding down to two decimal places, we get an estimated volume of approximately 1.56 million barrels per day.

Therefore, the model suggests that approximately 1.56 million barrels per day were imported in the year 2003.

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Answer:

so 20*5=100 and a percent is out of 100

so we just multiply 18*5 which equals

90 so 18/20=90%

we could also figure this out because if we simplify we get

9/10 which is also 90%

Hope This Helps!!!

a' = {13, 16, 17}

To find a', we need to identify the elements in u that are not present in a. Looking at the elements in u and comparing them with the elements in a, we can see that the elements 13, 16, and 17 are present in u but not in a.

Therefore, a' consists of these three elements: {13, 16, 17}. These elements are the elements in u that are not included in a.

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Answer:

5/9

Step-by-step explanation:

brainliest when possible.

Answer:

325

Step-by-step explanation:

40/100=130/x

Cross multiply to find x

40x=13000

/4            /4

x=325

Answer:

c

Step-by-step explanation:
A two-step equation is one that you need to use two properties of equality to solve.

Answer:

the mean (average) is 6 bc you divide the answer by the amount of numbers

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

\(a^2+3\,a\,b-5\,a\,b-15\,b^2=(a-5\,b)\,(a+3\,b)\)

Step-by-step explanation:

Work via factoring by groups:

!) re arrange the terms as follows:

\(a^2-5ab+3ab-15b^2\)

then extract the common factor for the first two terms (a), and separately the common factors for the last two terms (3 b):

\(a^2-5ab+3ab-15b^2\\a\,(a-5\,b)+3\,b\,(a-5\,b)\)

Now notice that the binomial factor (a-5 b) is in both expressions, so extract it:

\(a\,(a-5\,b)+3\,b\,(a-5\,b)\\(a-5\,b)\,(a+3\,b)\)

which is the final factorization.

Answer:

\( \boxed{\sf (a + 3b)(a - 5b)} \)

Step-by-step explanation:

\( \sf Factor \: the \: following: \\ \sf \implies {a}^{2} + 3ab - 5ab - 15 {b}^{2} \\ \\ \sf Grouping \: like \: terms, \\ \sf {a}^{2} + 3ab - 5ab - 15 {b}^{2} = {a}^{2} + (3ab - 5ab) - 15 {b}^{2} : \\ \sf \implies {a}^{2} + (3ab - 5ab) - 15 {b}^{2} \\ \\ \sf 3ab - 5ab = - 2ab : \\ \sf \implies {a}^{2} - 2ab - 15 {b}^{2} \\ \\ \sf The \: factors \: of \: - 15 \: that \: sum \: to \: - 2 \: are \: 3 \: and \: - 5. \\ \\ \sf So, \\ \sf \implies {a}^{2} + (3 - 5)ab - 15 {b}^{2} \\ \\ \sf \implies {a}^{2} + 3ab - 5ab - 15 {b}^{2} \\ \\ \sf \implies a(a + 3b) - 5b(a + 3b) \\ \\ \sf \implies (a + 3b)(a - 5b)\)

Where a basketball player made 12 out of 15 free throws she attempted. Given that she wants to know how many consecutive free throws she would have to make to raise the percentage of successful free throws to 85%:
1) Note that the equation for the above situation is given as:

12 + n/15+n = 85%

2) the number of free throws to raise her percentage to 85% is 5.

The number of throws is related to the principle of proportions.

1) Note that the proportion that is given is 12 of 15. If we make the number of throws n,

The proportion will then become:

Proportion = 12+n/15+n

To make the 85% success, the proportion must be equal 85 percent. That means:

12+n/15+n = 85%

2) Solving for the above solution, we have:

12+n/15+n = 85%; or

12+n/15+n = 0.85

⇒ 12 + n = 0.85 (15+n) (by cross multiplying)

⇒ 12 + n = 12.75 + 0.85n

⇒ n-0.85n = 12.75 -12 (by collecting like terms)

⇒0.15n = 0.75

⇒ n= 5 (by dividing both sides by 0.15)

Thus, the number of free throws to raise her percentage to 85% is 5.

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The number of green beads left over = 15

Walter:

Number of green beads = 476

Number of red beads = 32

Agnes:

Number of green beads = 104

Number of red beads = 16

Holly:

Number of green beads = 281

Number of red beads = 80

Total number of red beads = 32+16+80 = 128 beads

Number of red beads required for making one lizard = 16

Since 128/16 = 8 , there will be no red beads left after making 8 lizards.

Total number of green beads = 476+104+281 = 861 beads

Number of green beads required for making one lizard = 94

Now 861/94 = \(9\frac{15}{94}\)

That is , 15 is the remainder when 861 is divided by 94

So there will be 15 green beads left after making 9 lizards.

Therefore, the number of green beads left over = 15

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Answer:

x = a/7

Step-by-step explanation:

Area is length x width, so let's call our unknown, the length, x

So the total area is 7 (the width) times x

If the total area is a, then we can write the equation a = 7(x)

Next, we have to isolate the variable for the length, x

To do this, we divide both sides by 7, leaving a/7 = x, or x = a/7

The probability that you will win the trip to Orlando would be = 1

To calculate the probability that you will win the trip to Orlando the formula for probability should be used and this is given below;

Probability = possible outcome/sample space.

The total small space = 7

For first Letter;

Possible outcome = 1

probability = 1/7. This will be done for the total number of letters used to spell Orlando = 1/7+1/7+1/7+1/7+1/7+1/7+1/7 = 7/7 = 1

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While executing a 60° level turn, a load factor of 2.0 means that the total force experienced by the aircraft is twice its weight. This is due to the combined effect of centrifugal force and gravity acting on the aircraft.

1. Load factor is a measure of the forces acting on an aircraft during maneuvering.
2. In a level turn, the aircraft is subjected to centrifugal force pulling it outward, and gravity pulling it downward.
3. The load factor is calculated by dividing the total force acting on the aircraft by its weight.
4. A load factor of 2.0 means the total force is twice the weight, indicating a higher stress on the aircraft structure.
Therefore, during a 60° level turn, a load factor of 2.0 indicates that the total force on the aircraft is twice its weight, putting additional stress on the structure.

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Step-by-step explanation:

A man by the name of Luigi Fonti wrote this. I hope it can guide you, as it did for me! "The set of rational numbers is closed for all the four operations, so x+y, x-y, x*y and x/y are rational too. And it is easy to demonstrate. A rational number can be expressed as a fraction of two integers. So, x can be expressed as a/b and y as c/d. Hence x+y = a/b + c/d = (ad+bc)/bd, which, as fraction of two integers, is rational."

Answer:

£ 185

Step-by-step explanation:

Tama po yan promise

The correct answer is: III only. Variance investigation is typically based on a cost-benefit analysis.

Statement I is incorrect because the relative size of a variance, in comparison to other variances, can be important in understanding its significance.

Statement II is incorrect because variance investigation does not focus solely on unfavorable variances. Both favorable and unfavorable variances are considered during the investigation.

Statement III is true. Variance investigation is typically based on a cost-benefit analysis, where the potential benefits of investigating and addressing variances are weighed against the associated costs.

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