what is the reciprocal of 10/13

Answer:

x- 0,3 y-10,0

Step-by-step explanation:

The kinematics equation s = 1/2at² can be used to determine the acceleration in the Second Law Experiment, where acceleration is calculated by measuring the time taken for the cart to move from the start point to the end point.

Let's derive how the equation is used to find the acceleration from this experiment:

Drivation of kinematics equation:

The kinematics equation is derived by integrating the acceleration function twice with respect to time (t).

Acceleration, a = d²s/dt², where s is displacement, and d²s is the second derivative of displacement with respect to time.

taking integral w.r.t time twice:

∫ a dt = ∫ d²s/dt² dt integrating once gives, v = at + C₁ (where C₁ is a constant of integration)

integrating twice gives, s = 1/2at² + C₁t + C₂ (where C₂ is a constant of integration)

Thus, the kinematics equation for an object moving with constant acceleration can be represented by

s = 1/2at² + vit + s₀,

where s is the displacement, a is the acceleration, t is time, vi is initial velocity, and s₀ is initial displacement.

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The radius of convergence is 0, and the interval of convergence is the single point x = 0.

To obtain the radius of convergence and interval of convergence of the series we can use the ratio test.

\(\[ \sum_{n=1}^{\infty} \frac{2 \cdot 4 \cdot 6 \cdots (2n)}{3 \cdot 5 \cdot 7 \cdots (2n+1)}x^{2n+1} \]\)

The ratio test states that if \(\( L = \lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| \)\), then the series converges if \(\( L < 1 \)\) and diverges if \(\( L > 1 \). If \( L = 1 \)\), the test is inconclusive.

Let's calculate the limit:

\(\[ L = \lim_{n \to \infty} \left| \frac{\frac{2 \cdot 4 \cdot 6 \cdots (2(n+1))}{3 \cdot 5 \cdot 7 \cdots (2(n+1)+1)}x^{2(n+1)+1}}{\frac{2 \cdot 4 \cdot 6 \cdots (2n)}{3 \cdot 5 \cdot 7 \cdots (2n+1)}x^{2n+1}} \right| \]\)

Simplifying the expression:

\(\[ L = \lim_{n \to \infty} \left| \frac{(2n+2)(2n+1)x^{2n+3}}{(2n+1)(2n)x^{2n+1}} \right| \]\)

\(\[ L = \lim_{n \to \infty} \left| \frac{(2n+2)x^2}{x^2} \right| \]\)

\(\[ L = \lim_{n \to \infty} 2(n+1) = \infty \]\\\)

Since the limit is infinity, the series diverges for all values of  x , except when x = 0 and hence the radius of convergence is 0, and the interval of convergence is the single point x = 0.

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The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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Answer:

ya esta simplificado, solamente simplificas los fracciones

Step-by-step explanation:

To find the minimum score required for the scholarship, we need to find the score that corresponds to the top 8% of the distribution. So, the minimum score required for the scholarship is 651.

First, we need to find the z-score corresponding to the top 8% of the distribution. We can do this using a standard normal distribution table or a calculator. The z-score corresponding to the top 8% is approximately 1.41.
Next, we can use the formula for z-score to find the corresponding SAT score:
z = (x - mean) / standard deviation
1.41 = (x - 497) / 109
Solving for x, we get:
x = 642.69
Rounding to the nearest whole number, the minimum SAT score required for the scholarship is 643.
Therefore, any student who scores 643 or above on the SAT writing test will be eligible for the scholarship.

To find the minimum score required for the scholarship, we need to determine the cutoff point for the top 8% of SAT writing scores. Since the scores are normally distributed, we can use the mean and standard deviation to calculate this value.
Step 1: Find the z-score corresponding to the top 8%.
To find the z-score, we will use a z-table or a calculator that provides the inverse of the cumulative distribution function. We want the z-score for the 92nd percentile (since we are looking for the top 8%, 100% - 8% = 92%).
Using a z-table or calculator, the z-score for the 92nd percentile is approximately 1.41.
Step 2: Calculate the minimum score using the z-score, mean, and standard deviation.
Now, we'll use the following formula to find the minimum score:
Minimum Score = Mean + (z-score * Standard Deviation)
Minimum Score = 497 + (1.41 * 109)
Minimum Score = 497 + 153.69
Minimum Score ≈ 650.69
Step 3: Round the result to the nearest whole number.
Minimum Score = 651
So, the minimum score required for the scholarship is 651.

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The volume of a cylinder is given below:

Here, r=7 feet and h=4 feet. So, the volume of the cylinder is:

Thus, the volume of the cylinder is 616 square feet.

Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

The equals sign (=) must appear in an equation. You can think of an equation as having a left and a right side since there will be a mathematical expression on either side of it. Consider an equation to be a set of scales. Although you can use different amounts on either side, for it to be solved, each side must be equally balanced .An unknown will always be present in an algebraic equation. This is symbolized by a symbol, such x, y, or z.

Here,

We must calculate the product of 3x(\(x^{2}\) + 4).

In light of the query

Follow all of the instructions listed below to obtain the equation's product.

Equation; 3x(\(x^{2}\) + 4).

Then,

The product of the equation is,

=>3x(\(x^{2}\) + 4).

=>3\(x^{3}\) + 12x

Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

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Answer: C. 21

Step-by-step explanation:

42/2=21

Answer:

118.0

Step-by-step explanation:

using Trigonometry,

\(x = 99tan(50) \\ = 118.0\)

The correct answer is D.

The variable of time that could cause a student’s GPA to increase is studying.

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The value of α that would generate the most stable forecast is 0.10.

Exponential smoothing is a forecasting method that uses a weighted average of past observations to predict future values. The weight of each past observation decreases exponentially as it gets older. The value of the smoothing constant, α, determines how quickly the weights decay and thus how much emphasis is placed on recent observations versus past observations. A larger value of α means more weight is given to recent observations, resulting in a forecast that is more responsive to changes in the data but also more volatile. Conversely, a smaller value of α means less weight is given to recent observations, resulting in a forecast that is more stable but less responsive to changes in the data.

Therefore, in order to generate the most stable forecast, we would want to choose a smaller value of α. Among the options given, the value of α that would generate the most stable forecast is 0.10. This would give relatively less weight to recent observations and result in a smoother, less volatile forecast. However, it is important to note that the optimal value of α depends on the specific time series being forecasted and must be chosen based on empirical evaluation of the forecast accuracy.

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Answer:

20° and 70°

Step-by-step explanation:

Complementary angles sum up to 90°.

The angle = x

Its complement = x + 50

x + x + 50 = 90

2x = 40

x° = 20°

20+50=70

Answer: 70°  and 20°

Step-by-step explanation:

Complementary angles add up to 90 degrees  and we now that one angles measure is 50 degrees less than the other. So we can represent it by the expression   x = y -50    where x  and y are the two angles. We don't the value of y so it will be just y .

Now we know that if we add them,they will equation 90 degrees so we can represent it by the equation,

y + y-50 = 90  Now solve for y

2y - 50 = 90  

      +50  +50

2y = 140

y = 70  

Now we know one angles is 70 degrees and the other is 50  less than it so the other angle will be   70 - 50 = 20  

a.)  Probability of drawing two queens in a row (a queen and a queen) without replacement  = 0.00452

b.) Probability of drawing two queens in a row (a queen and a queen) with replacement = 0.00592

c.) Chances of drawing two queens in a row better with replacement

Define Probability

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.Statistics is the study of events that follow a probability distribution.

Given,

Total possible outcome = 52

There are 4 queens in a deck of 52 cards

a.)

Find, Probability of drawing two queens in a row (a queen and a queen) without replacement.

let, P stands for probability.

P (of drawing 1st queen) = 4 / 52

P(of drawing 2nd queen) = 3 / 51

P(drawing 2 queens in a row without replacement) =  4 / 52  *  3 / 51

                                                                                     = 0.000452

Hence, Probability of drawing two queens in a row (a queen and a queen) without replacement  = 0.00452

b.)

Find, Probability of drawing two queens in a row (a queen and a queen) with replacement

P (of drawing 1st queen) = 4 / 52

P(of drawing 2nd queen) = 4 / 52

P(drawing 2 queens in a row with replacement) = 4 / 52 * 4 / 52

                                                                               = 0.00592

Probability of drawing two queens in a row (a queen and a queen) with replacement = 0.00592

c.) Hence, the probability of with replacement is more so that's why

chances of drawing two queens in a row better with replacement

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Answer:

1. 3 people

2. 43 people

3. 7 people

Step-by-step explanation:

22-19=3

19+24=43

50-43=7

To solve the triangle using the Law of Sines, we can use the following formula:

\(\(\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}\)\(\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}\)\)

Given that \(\(\angle A = 38^\circ\), \(\angle C = 73^\circ\), and \(b = 19\),\) we can substitute these values into the formula and solve for the remaining sides \(\(a\) and \(c\).\)

\(\(\frac{a}{\sin(38^\circ)} = \frac{19}{\sin(B)}\) (1)\)

\(\(\frac{c}{\sin(73^\circ)} = \frac{19}{\sin(B)}\) (2)\)

From equation (1), we can solve for \(\(\sin(B)\):\)

\(\(\sin(B) = \frac{19}{a} \cdot \sin(38^\circ)\)\)

Substituting this value into equation (2), we can solve for \(\(c\):\)

\(\(\frac{c}{\sin(73^\circ)} = \frac{19}{\frac{19}{a} \cdot \sin(38^\circ)}\)\)

Simplifying, we get:

\(\(c = a \cdot \frac{\sin(73^\circ)}{\sin(38^\circ)}\)\)

Now we have expressions for both \(\(a\) and \(c\).\)

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-4 is not included, that is why the open interval and the symbol of ) are used

Answer:

6.5

Step-by-step explanation:

calculator

Answer:

7 is the smallest integer value

plz brainliestt

Step-by-step explanation:

4x>_ 26

x>_6.5

Answer:

\(3x + 2 < - 4 \\ 3x < - 4 - 2 \\ 3x < - 6 \\ x < \frac{( -6)}{3} \\ \boxed{x < - 2}\)

Answer:

x < −2

Step-by-step explanation:

Let's solve your inequality step-by-step.

3x + 2 < −4

Step 1: Subtract 2 from both sides.

3x + 2 − 2 < − 4 − 2

3x<−6

Step 2: Divide both sides by 3.

3x / 3 < −6 / 3

x < −2

Answer:

x < −2

Hope this helps :)

Answer:

(y-8) = -1/2(x+17)

Step-by-step explanation:

slope = (-2 - 8) / (3 - (-17)) = -10 / 20 = -1/2

Answer:

Θ = 6°

Step-by-step explanation:

using the cofunction identity

cos(90 - x) = sinx , then

cos(90 - 84)° = sin84° , that is

sin84° = cos6°

with Θ = 6°

The required prove that A and C are equidistant from O is explained below.

What is an angle bisector?

A constructed straight line which divides the measure of a given angle into two equal measures is said to be an angle bisector.

From the diagram, we have;

<AOC = <AOP + <COP  (definition of an angle bisector)

<APO + <1 = 180^o  (sum of angles on a straight line)

<CPO + <2 = 180^o (sum of angles on a straight line)

ΔAOP ≅ ΔCOP  (reflexive property)

OA ≅ OC

So that;

AP ≅ CP  (a point on a bisector is equidistant from its arms)

Therefore, A and C are equidistant from O.

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The reasonable domain is { 1,2,3,4,5 }

What are domain and range of a function ?

The range of values that we are permitted to enter into our function is known as the domain of a function. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set.

The collection of all feasible independent variable values is known as the mathematical domain. The set of all independent variable values that are conceivable yet make sense in the context at hand is known as the reasonable domain.  

Here, the situation is not given.

So, the reasonable domain is { 1,2,3,4,5 }

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Answer:

30

Step-by-step explanation:

The amount of monthly increase will be 8$

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.

Solution:

Given Equation is x² - 16x + 64 = 0

Using the formula method we will first find the discriminant

D = b² - 4ac

D = 256 - 256 = 0

x = -b +- √D / 2a

x = 16/2 = 8

x = 8

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The statement: "The intersection of the lines drawn perpendicular to each side of the triangle through its midpoint." Hence, option (D) is correct.

We have a statement:

What types of concurrent constructions are needed to find the circumcenter of a triangle?

As we know, the junction of the lines passing through the triangle's middle and perpendicular to each of its sides.

The type of concurrent construction is the intersection of the lines drawn perpendicular to each side of the triangle through its midpoint.

Thus, the statement: "The intersection of the lines drawn perpendicular to each side of the triangle through its midpoint." Hence, option (D) is correct.

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The complete question is-

What types of concurrent constructions are needed to find the circumcenter of a triangle?

A. Intersection of the lines drawn to bisect each vertex of the triangle.

B. Intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex.

C. Intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side.

D. Intersection of the lines drawn perpendicular to each side of the triangle through its midpoint.

Alvarez received $200,000 which is 40% of the profit.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it. Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

Given

Profit $500000

Alvarez owns 40% of the business.

Percentage

500000 × 40%

200000

Alvarez received $200,000 which is 40% of the profit.

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The solution of the linear equation 3.5g - 2.7g = -6 will be negative 7.5.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

If the maximum power of the equation is one. Then the equation will be a linear equation.

The linear equation is given below.

3.5g - 2.7g = -6

Simplify the equation, then we have

3.5g - 2.7g = -6

0.8g = -6

g = - 6 / 0.8

g = - 7.5

The solution of the linear equation 3.5g - 2.7g = -6 will be negative 7.5.

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