Chris pulls a slinky a distance of 12 inches from its equilibrium position and then releases it. The time for one oscillation is 1 second. Step 2 of 2: Find the function in terms of t for the displacement of the slinky. Assume that the slinky is at its maximum displacement at t = 0. Also assume that the function includes no horizontal or vertical shifts. Answer:
Y = ____ ( ____ t)

The length of the base of the triangle is 3/5 cm

From the question, we are to determine the length of the base of the given triangle.

From the given information,

The area of the triangle is 3/40 square centimeters.

From the formula for calculating the area of a triangle, we have that

A = 1/2 × b × h

Where A is the area of the triangle

b is the base

and h is the height

From the given diagram,

The height, h, of the triangle is 1/4 cm

Thus,

3/40 = 1/2 × b × 1/4

3/40 = 1/8 × b

Multiply both sides by 8

8 × 3/40 = 8 × 1/8 × b

3/5 = b

b = 3/5 cm

Hence, the base is 3/5 cm

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Answer:

a and b*

Step-by-step explanation:

it's kinda self explanatory. she isn't very good at communicating with others. she is rude and disrespectful.

Answer:

Answer is 51+20-51+3=23.

Step-by-step explanation:

Hope you have a wonderful Christmas and New Years. Thank you this was so nice

Answer:

23

Step-by-step explanation:

51+20-51+3

= 51+20= 71

= 71+3= 74

= 74-51= 23

The equation for the tangent to the graph of y = arcsin(x/2) at the origin is y = x. This means that for any given x-value, the corresponding y-value is equal to that x-value, creating a line with a slope of 1. This line is tangent to the graph of y = arcsin(x/2) at the origin, which is (0, 0).

To find the equation for the tangent to the graph of y = arcsin(x/2) at the origin, we must first find the slope at the origin. We can do this by taking the derivative of the function y = arcsin(x/2) with respect to x.

The derivative of

y = arcsin(x/2) with respect to x is y' = (1/2)cos(x/2).

At the origin, x = 0, so the slope of the tangent at the origin is

y' = (1/2)cos(0) = 1.

Therefore, the equation for the tangent to the graph of

y = arcsin(x/2) at the origin is y = x, which has a slope of 1.

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Answer:

220 lifeguards

Step-by-step explanation:

We have to divide the length of the beach by the interval of the stationed lifeguards.

13.2 / 0.06 = 220 lifeguards

There are 220 lifeguards.

Answer:

Step-by-step explanation:

(a) The ratio of adjacent terms is ...

  x^4/x^2 = x^2

The common ratio is x^2.

__

(b) For a geometric sequence with ratio r and first term "a", the sum to infinity is ...

  S = a/(1 -r)

Here, we have ...

  1/3 = x^2/(1 -x^2) . . . . fill in given values for a, r, S

  1 -x^2 = 3x^2 . . . . . cross multiply

  1/4 = x^2

  x = √(1/4)

  x = ±1/2

The alpha level should always be set to 0.05.

The supplied statement;

How should you select the alpha() level when doing a significance test in practice,

⇒ Use a higher alpha when the consequences of wrongly rejecting the null hypothesis are more severe. Select alpha () = 0.05 in every situation since it is the best option. Use a smaller alpha when the consequences of wrongly rejecting the null hypothesis are more severe.

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Answer:

i think its A i don't know for sure

Step-by-step explanation:

sorry if its wrong

Answer:

D.

Step-by-step explanation:

667 x 6 = 4,002

So it would be about 667 each payment

The private spilled 0.35 litres of fuel

The first step is to convert 6.5 hectolitres to litres

= 6.5 × 100

= 650 litres

Next is to convert millilitres to litres

= 350/1000

= 0.35 litres

Hence the number of litres spilled is 0.35 litres

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The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.

The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.

It accounts for the fact that sampling without replacement affects the variability of the sample mean.

When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.

In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.

On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.

This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.

Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.

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Using it's formula, the slope of the line that passes through the point of (1,-9) and (4,-7) is of m = 2/3.

Given two points, the slope of a line passing through these points is given by the change in y divided by the change in x.

For this problem, the points are (1,-9) and (4,-7), hence:

Hence the slope of the line that passes through these points is given by:

m = 2/3.

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Answer:

Step-by-step explanation:

Step 1 : Write +2x as a difference

= x^2-4x+6x-24

Step 2: Factorize out common terms

= x(x-4)+6(x-4)

Factorize out (x-4)

(x-4)(x+6)

\(x^{2} +2x-24\\Write+2x -as-a-difference\\x^{2} -4x+6x-24\\Factor out common terms\\x(x-4)+6(x-4)\\Factor out (x+4)\\(x-4)(x+6)\)

Answer: D ON EDGE

Step-by-step explanation:

Answer:

A. -∞ < x < ∞

Step-by-step explanation:

The domain of a function is the set of all possible inputs (x values).  We see from the graph that the function extends forever to the left and to the right.  Thus, the domain of the function is all real numbers, as the function extends on the x-axis towards positive and negative infinity.  A. represents this fact.

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

The initial value is 2000

The constant percentage growth rate is 20%

The growth factor is 1.2

Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of  3 main parts

a = the starting or initial value

b = the base function

x = the exponents

Considering the given problem, P = 2000(1.2)^t

the initial value = 2000

the base = 1.2

the exponents = t

The base is what says whether it will be an exponential growth or decay. For values of the base greater than 1 is exponential growth

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Answer:

89.70 dollars

Step-by-step explanation:

If Juwad picked 30 bags of apples and only sold 26 of them for 3.45 each, then you would have to multiply the number of bags sold by the price, and you would get your answer. So in this case:

1. (#sold)* (price)= total amount of money made

2. 26*3.45= 89.70

3. And you can check by dividing 89.70(your answer) by the price of the apples

4. 89.70/3.45= 26

Step-by-step explanation:

Q.1

6×sqrt(27) + 11×sqrt(75) =

= 6×sqrt(3×9) + 11×sqrt(3×25) =

= 3×6×sqrt(3) + 5×11×sqrt(3) =

= 18×sqrt(3) + 55×sqrt(3) = 73×sqrt(3)

Q.2

53×sqrt(5) × (-103×sqrt(50)) =

= 53×-103 × sqrt(5)×sqrt(50) =

= -5459 × sqrt(5×50) = -5459 × sqrt(250) =

= -5459 × sqrt(10×25) = -5459 × 5×sqrt(10) =

= -27,295 × sqrt(10)

Q.3

1/4 + 1/2 rational (as both terms are rational)

sqrt3 + 4 irrational (as sqrt(3) is not rational)

sqrt4 + 7 rational (sqrt(4) = 2, 2+7 = 9)

2 x sqrt9 rational (sqrt(9) = 3, 2×3 = 6)

7 x sqrt6 irrational (sqrt(6) is not rational)

4x2sqrt3 irrational (sqrt(3) is not rational)

3. 7 x (1/3) rational (all terms are rational)

7 x sqrt81 rational (sqrt(81) = 9, 7×9 = 63)

For part (b), to graph the curve and the tangent line,  Simplifying, we obtain:

y = (3a^2 - 14a + 3)(x - a) + a^3 - 7a^2 + 3a + 2.

we can use a graphing utility. Plugging in the values a = 1 and the equation of the tangent line into the graphing utility will provide a visual representation of the curve and the tangent line on the same set of axes.

To find the equation of the tangent line at x = a, we need to find the derivative of the function and evaluate it at x = a. Then we can use the point-slope form of a line to determine the equation of the tangent line.

Given the function f(x) = x^3 - 7x^2 + 3x + 2, we can find its derivative f'(x) using the power rule:

f'(x) = 3x^2 - 14x + 3.

To find the equation of the tangent line at x = a, we substitute a into the derivative:

f'(a) = 3a^2 - 14a + 3.

Now, we need to find the y-coordinate of the point on the curve corresponding to x = a. Substituting a into the original function, we get:

f(a) = a^3 - 7a^2 + 3a + 2.

Therefore, the equation of the tangent line at x = a is given by:

y - f(a) = f'(a)(x - a).

Substituting the values, we have:

y - (a^3 - 7a^2 + 3a + 2) = (3a^2 - 14a + 3)(x - a).

Simplifying, we obtain:

y = (3a^2 - 14a + 3)(x - a) + a^3 - 7a^2 + 3a + 2.

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The distance from Lakewood than to Bluepoint is 17.98 miles.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Distance between Bluepoint to Arcadia = 5.38 miles.

Distance between Arcadia to Lakewood= 12.6 miles.

Distance between Lakewood to Dayton = 12.88 miles.

So, the distance from Lakewood than to Bluepoint

= 12.6 +5 .38

= 17.98 miles

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Answer:198.447

Step-by-step explanation:

just search 7 ounces to grams

Answer:

Length = 9 inches

Step-by-step explanation:

The perimeter of a rectangle is:

perimeter = 2(length + width)

24 = 2(a+b)

a = b + 6

a = length

b = width

then:

24 = 2((b+6)+b)

24/2 = b+6+b

12 = 2b + 6

12-6 = 2b

6 = 2b

b = 6/2

b = 3 inches

a = b+6

a = 3+6

a = 9 inches

Check:

24 = 2(9+3)

24 = 2*12

Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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The percentage of the data fall between 28 and 48 is 75%

Percentage is a fraction or ratio expressed as part of 100. It is often denoted using the percent symbol "%".

For example, "50%" means "50 out of 100" or "50 per 100". A percentage can also refer to a portion of a whole, such as "20% of the total". Percentage is used to express how much of something there is compared to the whole. It is also used to compare different parts of a whole to each other.

For example, if one group of people makes up 40% of the total population, this means that group makes up 40 out of every 100 people.

Percentage can also be used to compare how much of one thing is relative to another.

For example, if one person earns 80% of the income, this means that person earns 80 out of every 100 dollars earned by the group.

The box-and-whisker plot shows the minimum value at 10

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The total number of possible values of k is 13

The sum of two sides of a triangle is more than the third side

11 + 15 > k

26 > k   ..(1)

difference between the two sides of a triangle is less than the third side

15 - 11 < k

4 < k   ...(2)

From (1) and (2)

4 < k < 26

Triangle to be obtuse

Either 11² + 15² < k²

or 11² + k² < 15²

For 11² + 15² < k²

k = 19, 20, 21, 22, 23, 24, 25

For 11² + k² < 15²

k = 5, 6, 7, 8, 9, 10

The total number of possible values of k is 13

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The number of tickets that she buys will be 14 tickets.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Marianne owes $56 for tickets to the school play. If each ticket cost $4. Then the number of tickets that she buys will be given as,

⇒ 56 / 4

⇒ 14 tickets

The number of tickets that she buys will be 14 tickets.

Your question was incomplete, but the complete question was given below.

Marianne owes $56 for tickets to the school play. If each ticket cost $4, how many tickets did she buy?

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Answer:

slope is 10

y intercept \(-\frac{1}{3}\)

Step-by-step explanation:

y = mx + b == > y = 10x - \(\frac{1}{3}\)

m = slope

b = y - intercept

Hope that helps!

Answer:

hhahhahajjahajajajajajjanaja

Nastya's annual payments on the loan will be approximately $7,350.68 (rounded to the nearest cent).

To find Jean's equity as a percent of the house value, we need to calculate the equity and divide it by the house value, then multiply by 100 to get the percentage.

Jean's equity is the difference between the house value and the mortgage amount. So, the equity is $792078.31 - $600,000 = $192,078.31.

To calculate the percentage, we divide the equity by the house value and multiply by 100: ($192,078.31 / $792078.31) * 100 = 24.26%.

Therefore, Jean's equity as a percent of the house value is 24.26%.

Now, let's move on to Nastya's question.

To calculate Nastya's annual payments on a fully amortizing loan, we need to use the formula for calculating the monthly payment:

P = r * PV / (1 - (1 + r)^(-n))

Where:
P = Monthly payment
r = Monthly interest rate (annual interest rate / 12)
PV = Present value of the loan
n = Total number of payments

Given:
PV = $622,422
Annual interest rate = 5.2%
n = 10 years

First, we need to convert the annual interest rate to a monthly interest rate: 5.2% / 12 = 0.43333%.

Next, we substitute the values into the formula and solve for P:

P = (0.0043333 * 622422) / (1 - (1 + 0.0043333)^(-10))

Using a calculator, we get P ≈ $7,350.68.

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