What way of warming up is preferred after exercise?
A. Static
B. Dynamic
C. Calestitic
D. Isometric

In observational studies, the variable of interest is controlled.

Hence option c is correct.

Observational study is defined as a type of study where the individuals are observed and / or certain outcomes are measured from it. No further efforts are made to influence the outcome.

Variable of interest in observational study is referred to a changing quantity that is measured for the purpose of study.

The variable of interest in observational studies are controlled in order that the data can be obtained about the way the factors influence another variable which is referred to as the response variable, or in simple words to understand the response.

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well, this is just a matter of simple unit conversion, so let's recall that one revolution on a circle is just one-go-around, radians wise that'll be 2π, and we also know that 1 minute has 60 seconds, let's use those values for our product.

\(\cfrac{300~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{2\pi ~rad}{~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{60secs}\implies \cfrac{(300)(2\pi )rad}{60secs}\implies 10\pi ~\frac{rad}{secs}\approx 31.42~\frac{rad}{secs}\)

Answer: 31.42 radians per second

Step-by-step explanation:

got it right on edge

Answer:4.12

Step-by-step explanation: I need brainliest for next rank I’d appreciate it

The exact value of cot(-5π/4) is -1, which indicates that the ratio of the adjacent side to the opposite side of the corresponding right triangle is -1.

To find the exact value of cot(-5π/4), we need to understand the properties of the cotangent function and the angle -5π/4.

The cotangent function is defined as the ratio of the adjacent side to the opposite side of a right triangle. In terms of trigonometric functions, cotθ is equal to 1/tanθ.

Now, let's consider the angle -5π/4. This angle is in the fourth quadrant of the unit circle, where both the x and y coordinates are negative. The reference angle for -5π/4 is π/4, which lies in the first quadrant.

Since the reference angle is π/4, we can determine the exact value of cot(π/4). In the first quadrant, cot(π/4) is equal to 1.

Now, returning to the angle -5π/4, we need to consider the sign of the cotangent function in the fourth quadrant. In the fourth quadrant, cot(θ) is negative.

Therefore, the exact value of cot(-5π/4) is -1, as the negative sign indicates that the cotangent value is negative in the fourth quadrant

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Answer:

x=30degrees

Step-by-step explanation:

the diagram, if drawn comes as a square. when divided to two triangles, both of them have one right angle each. if the hypotenuse is thirty d on one side, the opposite angle has to be 60d . since the total of all angles is 180d and one side is 90d and the other 60d, the other angle must me 30d

The length of Hypotenuse is 3√2 unit.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

Angle= 45 degrees

Hypotenuse = x

Using Trigonometry in Triangle 1

sin 30 = P/ 6

1/2 = P/6

P= 3 unit

Now, In triangle 2

cos 45 = 3/H

1/√2 = 3 / H

H= 3√2 unit

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Answer:

18 x 15 x 3 is 810. The volume is 810.

Step-by-step explanation:

Volume of cuboid= Length*Width*Breadth

Volume of container= 18 cm X 15 cm X 3cm

Volume of container=810

Hope i helped

Answer:

\(810\) centimeters cubed.

Step-by-step explanation:

The formula: \(Length * width * height\)

\(18 *15*3 =810\) centimeters cubed

Answer:

a) 7/12

b) 5/9

Step-by-step explanation:

a)  

\(\frac{7}{12} = \frac{49}{84}\\\\\frac{4}{7} = \frac{48}{84}\\\\\frac{49}{84} > \frac{48}{84}\\\\\frac{7}{12} > \frac{4}{7}\)

b)

\(\frac{6}{11} = \frac{54}{99}\\\\\frac{5}{9} = \frac{55}{99}\\\\\frac{55}{99} > \frac{54}{99}\\\\\frac{5}{9} > \frac{6}{11}\)

Answer:

D) The difference has 4 terms and a degree of 7.

Step-by-step explanation:

EDG2021

Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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The formula for finding the standard deviation for a binomial distribution is σ2=npq. f.

What means binomial distribution?

When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution.

For each random variable X, the binomial distribution formula is given by;

P(x:n,p) = nCx px (q)n-x

Where,

n = the number of experiments

x = 0, 1, 2, 3, 4, …

p = Probability of Success in a single experiment

q = Probability of Failure in a single experiment = 1 – p

formula for finding standard deviation of a binomial distribution is npq. f.

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Answer:

Step-by-step explanation:

2(x + 14) + (2x - 14)

= 2x + 28 + 2x - 14

= 4x + 14

Answer:

4x+14

Step-by-step explanation:

Brainleist pls?

For a sample of rating of an automobile manufacturer's van regarding rating of 28.3 miles/gallon (mpg), the Z-test statistic value is equals to the -1.631.

Z-test is a parametric test. When the sample size is sufficiently large, it is mostly used. This test statistic is computed a standard normal distribution. It is then compared with the critical value (obtained from z-table). If the test statistic value is greater than it, there is evidence to reject the null hypothesis. We have an automobile manufacturer with its van rating. A sample of 200 vans is randomly considered. Sample size, n = 200

Mean of rating = 28

Standard deviations = 2.6

Lavel of significance= 0.01

To test the firm'claim we have to consider hypothesis testing here. Since it is claimed by an automobile manufacturer that its car has a 28.3 miles/gallon (MPG) rating, therefore, the null hypothesis and alternative can be stated as:

\(H_0 :μ = 28.3\)

\(H_a :μ≠28.3\)

Now, to determine the value of the test statistic, consider the Z-test : \( z = \dfrac{{M - \mu }}{{\dfrac{\sigma }{{\sqrt n }}}}\)

where, M -> mean

n --> sample size

Substitute all known values in above formula, \(= \dfrac{{28 - 28.3}}{{\dfrac{{2.6 }}{{\sqrt {200} }}}}\\\)

\(= \dfrac{{-0.3}}{{\dfrac{{0.26 }}{{\sqrt {2} }}}}\\\)

=> z = - 1.631

Hence, required test statistic value is -1.631.

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Mr. Williams bought a total of 30 muffins and pies. Each muffin costs $2.50, while each pie costs $4.50. The pies cost $9 more than the muffins. We need to determine the quantity of each item Mr. Williams bought.

Let's assume Mr. Williams bought x muffins and y pies.

From the given information, we can set up the following equations:

1) x + y = 30 (equation representing the total quantity of muffins and pies)

2) 2.50x + 4.50y = Total cost (equation representing the total cost of muffins and pies)

Since the pies cost $9 more than the muffins, we can further simplify equation 2:

2.50x + 4.50y = 2.50x + (2.50 + 9)y

2.50x + 4.50y = 2.50x + 2.50y + 9y

2.50x + 4.50y = 5x + 11.5y

Now we can substitute equation 1 into equation 2:

5x + 11.5y = 30

We have a system of linear equations:

x + y = 30

5x + 11.5y = 30

Solving this system of equations, we can find the values of x and y.

After solving, we find that x = 12 and y = 18.

Therefore, Mr. Williams bought 12 muffins and 18 pies.

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Answer:

Im pretty sure its 5

Step-by-step explanation:

5:1 due to 20/4 would be 5. I can give you more of an explaination if needed.

Answer:

5 triangles to 4 circles.

Given that BC = 10

AC is the hypotenuse

BC is the opposite angle of alpha

AB is the adjacent

To get Beta

To get AC, we can use the trigonometric function

AC = 10/ sin 25

AC = 10/ 0.423

AC = 23.662

To get AB

AB = 10 / tan 25

AB = 10 / 0.466

AB = 21. 445

The simplified form of the combination of rational expressions is equal to (2 · x² - 5 · x - 15) / (3 · x² - 3).

In this problem we must determine the simplified form of a combination of rational expressions. The simplification can be done by means of algebra properties. First, simplify the combination of rational expressions:

2 · x / (3 · x + 3) + 4 / (x + 1) - (5 · x + 1) / (x² - 1)

Second, factor the denominators:

2 · x / [3 · (x + 1)] + 4 / (x + 1) - (5 · x + 1) / [(x + 1) · (x - 1)]

Third, add the fractions:

[2 · x · (x - 1) + 4 · 3 · (x - 1) - 3 · (5 · x + 1)] / [3 · (x + 1) · (x - 1)]

Fourth, simplify the expression:

(2 · x² - 2 · x + 12 · x - 12 - 15 · x - 3) / (3 · x² - 3)

(2 · x² - 5 · x - 15) / (3 · x² - 3)

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Answer: $360

Step-by-step explanation: $1800 divided by 5 equals $360 in one year.  Hope it helps! :)

Answer:

The second one

Step-by-step explanation:

ur welcome sire or madam which ever one you are

Answer:

A. 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

9 + (1/2)⁴ · 48

Step 2: Evaluate

The dimensions of the rectangle are (5a+6b) and (5a-6b).

The area of a rectangle is given by the formula A = lw, where A is the area, l is the length, and w is the width. In this case, we are given that the area is (\(25a^2-36b^2\)). We need to factor this expression to determine the dimensions of the rectangle.

We can factor the expression (\(25a^2-36b^2\)) using the difference of squares formula, which states that \(a^2 - b^2\) = (a+b)(a-b). Applying this formula, we get:

\(25a^2 - 36b^2 = (5a)^2 - (6b)^2\) = (5a+6b)(5a-6b)

Therefore, the dimensions of the rectangle are (5a+6b) and (5a-6b).

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The ratio of the empty bags to the total bags is found as 7/11.

As the stated question-

Total bags = 55

Empty bags = 35

Brand new nags = 20

Ratio = Empty bags/ Total bags

Ratio = 35/55

Ratio = 7/11

Thus, the ratio of the empty bags to the total bags is found as 7/11.

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Answer:

12

Step-by-step explanation:

4 x 4= 16 so 4 x 3=12 and 3/4 = 4 x 3

After analyzing all the critical paths  the maximum possible reduction in the project duration is 1 week. The correct option is d. 1 week.

To determine the maximum possible reduction in the project duration within the given budget, we need to analyze the critical paths and crashing costs.

The crashing cost per week for activity A is $540 in the first week and $1080 per week from the second week onwards. For activity E, it is $545 in the first week and $1350 per week thereafter. For all other activities, the crashing cost is $135 per activity per week in the first week and $405 per activity per week thereafter.

Considering the crashing budget of $2300, let's calculate the maximum reduction for each critical path:

A-B-C-D-E: The total crashing cost for this path is $1350 (for A and E) + $405 (for B, C, and D) = $1755 per week. With a budget of $2300, this path can be crashed for a maximum of $2300 / $1755 = 1.31 weeks. Therefore, the maximum reduction for this path is 1 week.

A-F-E: The total crashing cost for this path is $1350 (for E) + $405 (for F) = $1755 per week. With the given budget, this path can be crashed for a maximum of $2300 / $1755 = 1.31 weeks. Hence, the maximum reduction for this path is 1 week.

A-B-H-J-K-E: The total crashing cost for this path is $1350 (for A and E) + $810 (for B, H, J, and K) = $2160 per week. This path can be crashed for a maximum of $2300 / $2160 = 1.06 weeks. Thus, the maximum reduction for this path is 1 week.

A-S-T-E: The total crashing cost for this path is $1350 (for A and E) + $540 (for S and T) = $1890 per week. This path can be crashed for a maximum of $2300 / $1890 = 1.22 weeks. Hence, the maximum reduction for this path is 1 week.

After analyzing all the critical paths, we observe that the maximum possible reduction in the project duration is 1 week.

The correct option is d. 1 week.

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Answer:

0.75

Step-by-step explanation:

The area of the circle of radius r centered at the origin is π\(a^{2}\)

Since the circle is symmetrical in relation to the x and y axes, we can calculate the area of a quarter of a circle and multiply it by 4 to get the entire circle's area.

The equation y y = + mn [a 2 - x 2] must be solved.

Y = [a 2 - x 2] = a [1 - x 2 / a 2] is the equation for the upper semicircle (y positive).

Using integrals, we can calculate the area of the circle's top right quarter as shown below.

(1 / 4) Circle's area is equal to 0a a [1 - x 2 / a 2]. dx

Let's replace x/a with sin t to make sin t equal to x/a, dx equal to a cos t dt, and the area is given by

The formula for area of a circle is (1 / 4) Area of circle = 0/2 a 2 (1 - sin2 t) cos t dt

Now that t can range from 0 to /2, we utilize the trigonometric identity [1 - sin2 t] = cos t, which equals (1 / 4) Circle area equals 0/2 a 2 cos2 t dt.

To linearize the integrand, use the trigonometric equation cos2 t = (cos 2t + 1) / 2;

(1 / 4) Circle's area is equal to 0/2 a (cos 2t + 1) / 2 dt.

the integral (1 / 4) be evaluated. Circle's area is equal to (1/2) a2 [(1/2) sin 2t + t]. 0π/2\s= (1/4) π a 2

The circle's entire area is calculated by multiplying by 4.

Area of a circle is equal to 4 * (1/4) a 2 a 2. additional references on integrals and calculus applications.

Area of circle = 4 * (1/4) π a 2 = π a 2 More references on integrals and their applications in calculus.

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Answer:

15.9

Step-by-step explanation:

x = 10/ cos 51° = 10/0.629 = 15.9

Answer: Look at step by step

Step-by-step explanation:

(ax + b)(ax + b) = \(a^{2}\) \(x^{2}\)+ 2abx + \(b^{2}\)

Substitute g into x

\(a^{2}\) = 7

a = \(\sqrt{7}\)

2ab = -3

b = -3 / (2 x \(\sqrt{7}\))

\(b^{2}\) = 9 / (4 x 7) = 9/28

So the term to be added to make a perfect square is 9/28

When factorized would get (\(\sqrt{7}\)x - 3/2\(\sqrt{7}\))(\(\sqrt{7}\)x - 3/2\(\sqrt{7}\))

If this doesn't help, maybe it is best you ask your teacher instead of listening to a random person on the internet. Hope this helps though

Answer:

Landon would have -$43.53 in his checking account after the check is cashed and the bank handles his overdraft.

Step-by-step explanation:

The optimal solution, obtained through graphical method, is: x₁ = 4, x₂ = 2, with the maximum value of Z = 80.

To solve the given linear programming problem graphically, we start by plotting the feasible region defined by the constraints:

Constraint 1: 10x₁ + 20x₂ ≤ 120

Constraint 2: 8x₁ + 8x₂ ≤ 80

Non-negativity constraint: x₁ ≥ 0, x₂ ≥ 0

The feasible region is the area of the graph that satisfies all the constraints.

Next, we calculate the objective function Z = 12x₁ + 16x₂. We plot the objective function as a line on the graph.

The optimal solution, which maximizes Z, is the point where the objective function line intersects the boundary of the feasible region.

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