What is the reciprocal of
4/7

It looks like there may be a typo in the function you provided. It appears that you meant to write "f(x) = 80(0.5)^x", which would represent the distance after a pendulum begins swinging, where x is the number of swings.

This function indicates that the distance traveled by the pendulum decreases by half with each swing. For example, after the first swing, the distance traveled would be 80(0.5)^1 = 40 units. After the second swing, the distance traveled would be 80(0.5)^2 = 20 units. And so on.

The exponent x in the function represents the number of swings, so the distance traveled by the pendulum can be calculated by plugging in the desired value of x into the function. For example, to calculate the distance traveled after 10 swings, we can plug in x = 10:

f(10) = 80(0.5)^10 = 0.390625 units

This indicates that the pendulum has traveled a distance of approximately 0.39 units after 10 swings.

Answer:

The answer is 72

Answer:

It should be 21.1

Step-by-step explanation:

We can say with 99% confidence that the true mean price of all transactions is between $2,799.16 and $3,000.84.

To obtain a 99% confidence interval for the mean price of all transactions, we can use the formula:

CI =  ± z*(σ/√n)

Where:
= sample mean price = 2900 dollars
σ = population standard deviation = 290 dollars
n = sample size = 30
z = z-score for a 99% confidence level = 2.576 (from the standard normal distribution table)

Substituting these values into the formula, we get:

CI = 2900 ± 2.576*(290/√30)
CI = 2900 ± 100.84
CI = (2799.16, 3000.84)

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Answer:

3rd one

Step-by-step explanation:

Range goes to the y-values

The y values are 16 19 and 16

So the range will be (16,19)

The expression that is equivalent to (5^4 × 3^3)(5^2× 3^2) is 5^6 × 3^5

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

54× 3352× 32

Rewrite the expression properly as follows

So, we have

(5^4 × 3^3)(5^2× 3^2)

Express as products

So, we have

(5^4 × 3^3)(5^2× 3^2) = 5^4 × 3^3 × 5^2× 3^2

Rewrite the common factors

So, we have

(5^4 × 3^3)(5^2× 3^2) = 5^4  × 5^2 × 3^3 × 3^2

Apply the law of indices

So, we have

(5^4 × 3^3)(5^2× 3^2) = 5^6 × 3^5

Hence, the expression that is equivalent to (5^4 × 3^3)(5^2× 3^2) is 5^6 × 3^5

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The diameter of the pizza to the nearest inch is 11 inches.

Let's call the diameter of the pizza "d". The circumference of the pizza can be calculated using the formula:

C = πd

And since the outer edge of the crust from one piece measures 5.5 inches, that length is equal to 1/8 of the circumference of the pizza:

5.5 = (1/8)C

So we can substitute the formula for the circumference into this equation:

5.5 = (1/8)(πd)

Solving for d, we can multiply both sides by 8/π:

d = (5.5)(8/π)

Calculating the approximate value of π as 3.14, we get:

d ≈ (5.5)(8/3.14) = 11 inches

So the diameter of the pizza is approximately 11 inches, rounded to the nearest inch.

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The smallest initial number that results in a win for Bernardo is 31.

Here's the breakdown of how the game would play out:

If Bernardo starts with any number less than 31, the final number will be less than 100 and Bernardo will win. Any number greater than 31 will result in Bernardo losing.

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The specific values for [-T, 8, -E] and evaluate the gradient vector to get the final equations of the tangent plane and normal line.

To find the equation of the tangent plane to the surface 1' = 332 + 22 — 10? at the point [-T, 8, -E], we can use the gradient vector. The gradient vector is a vector that points in the direction of the steepest slope on the surface at a given point. The equation of the tangent plane can be written as:

1' = f(-T, 8, -E) + ∇f(-T, 8, -E) · (x + T, y - 8, z + E)

where f(-T, 8, -E) is the value of the surface at the point [-T, 8, -E] and ∇f(-T, 8, -E) is the gradient vector at that point.

To find the gradient vector, we need to calculate the partial derivatives of the surface function with respect to x, y, and z, and evaluate them at the given point. Once we have the gradient vector, we can substitute it into the equation of the tangent plane.

For the equation of the normal line to the surface at the point [-T, 8, -E], we can use the parametric form of a line. The parametric equation of a line can be written as:

r(t) = [-T, 8, -E] + t∇f(-T, 8, -E)

where r(t) represents the position vector of a point on the line and t is a parameter.

Remember to plug in the specific values for [-T, 8, -E] and evaluate the gradient vector to get the final equations of the tangent plane and normal line.

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Answer:

5.24 feet

Step-by-step explanation:

First find the circumference of the circle. The formula is C=2πr. The radius is five so the circumference is approximately 31.42 feet. That means that in 6 seconds, the unicorn travels about 31.42 feet. To find the feet traveled in one second, you must divide 31.42 by 6 which equals approximately 5.24 feet.

Answer:

$6.60 for the tip | $39.60 in total :)

Step-by-step explanation:

Answer:

suff so ican post the answer $6.60

Answer:

118.73

Step-by-step explanation:

Answer:

118.74 ft²

Step-by-step explanation:

First, you're going to get the are of the following shapes, one by one.

Area of A Circle = πr²

Area of a Rectangle = bh

Area of a Square = s²

Step 1: Let's find the area for the Circle.

Diameter = 6

Radius = Diameter ÷ 2

6 ÷ 2 = 3

The Radius is 3.

A = (3.14)(3)²

Simplify:

(3.14)(9) = 28.26 ft²

Step 2: Find the Area of the Rectangle.

A = bh

11 × 2 = 22

Area of Rectangle = 22 ft²

Step 3: Find the Area of the Square

A = s²

13² = 13 × 13 = 169 ft²

Step 4: Subtract the Aea of the Circle and Rectangle form the Are of the Square.

169 - 28.26 - 22 = 118.74 ft²

Answer:

$36

Step-by-step explanation:

3x12 = $36 for 12 boxes of paper.

Pls mark me brain list.

Answer:

No graphs????????????

Step-by-step explanation:

Answer:

63.

Step-by-step explanation:

49 plus 37 is 86. subtract that by 23 and you get 63.

Answer:

x=52

Step-by-step explanation:

ignore the work at the top of the

Answer: To eliminate x in the system of linear equations, multiply equation 1 by 4 and multiply equation 2 by 5, then subtract both equations.

How to Solve a System of Equations?

Given the system of linear equations as:

Equation 1: 5x − 2y = 10

Equation 2: 4x − 3y = 15

To eliminate x in the system of equations given above, multiply equation 1 by 4 and multiply equation 2 by 5

× 4 Equation 1: 5x − 2y = 10

× 5 Equation 2: 4x − 3y = 15

20x − 8y = 40

20x − 25y = 75

Subtract both equations to eliminate x

17y = -35

In summary, to eliminate x in the system of linear equations, multiply equation 1 by 4 and multiply equation 2 by 5, then subtract both equations.

Step-by-step explanation:

Answer:

24°

Step-by-step explanation:

m∠DCE = 180° - 90° - 41° - 25° = 24° (angles on a straight line are supplementary)

This is a question on angles . If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Each team-mate practices for 60 hours.

You know this because if you divide 4,380 (the total amount of hours) by 73 (the total amount of players) you get 60.

The x=k traces of the surface x=4y^2z^2 are parabolic cylinders aligned parallel to the yz-plane for k=-1, k=0, and k=1.

The equation x=4y^2z^2 represents a surface in three-dimensional space. To describe the x=k traces of this surface, we substitute different values of k into the equation and observe the resulting shapes.

For k=-1, k=0, and k=1, the x=k traces of the surface are parabolic cylinders that are aligned parallel to the yz-plane. Each trace consists of a collection of parabolas opening along the x-axis. The vertex of each parabola lies on the yz-plane, with the axis of symmetry parallel to the x-axis. As k varies, the parabolic cylinders will have different positions and sizes but maintain the same overall shape.

In summary, the x=k traces of the surface x=4y^2z^2 are parabolic cylinders aligned parallel to the yz-plane for k=-1, k=0, and k=1.

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Answer:

Use long division to get the answer of 78.75

Step-by-step explanation:

long division ends with this answer, ➗

Answer:

the line of symmetry. It's like a mirror.

Step-by-step explanation:

The readability of a double-pan torsion balance is typically very small, usually in the range of a few milligrams (mg). This is because the double-pan torsion balance is a highly sensitive instrument used to measure very small masses.

The readability of a double-pan torsion balance is determined by the sensitivity of the torsion spring which is used to measure the mass on the scale pans. The higher the sensitivity of the torsion spring, the higher the readability of the double-pan torsion balance. The readability of a double-pan torsion balance is typically in the range of 0.1 to 0.5 mg.

This allows the balance to measure very small increments with a high degree of accuracy and precision. The readability of a double-pan torsion balance is critical for accurate measurements of very small masses, such as in the pharmaceutical, chemical and food industries.

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Movement plays a crucial role in various aspects of our lives, including physical health, cognitive development, and emotional well-being.

Movement is essential for maintaining physical health and well-being. Regular physical activity helps to strengthen muscles and bones, improve cardiovascular fitness, and maintain a healthy weight. Engaging in activities such as walking, running, swimming, or cycling promotes the overall functioning of the body and reduces the risk of chronic diseases like heart disease, diabetes, and obesity.

Furthermore, movement has a significant impact on cognitive development. Physical activity stimulates the brain and enhances cognitive functions such as memory, attention, and problem-solving skills. Studies have shown that children who engage in regular physical activity tend to perform better academically and have improved cognitive abilities compared to those who lead sedentary lifestyles. Exercise increases blood flow and oxygenation to the brain, promoting neuroplasticity and the growth of new brain cells.

In addition to physical health and cognitive development, movement also plays a crucial role in emotional well-being. Exercise releases endorphins, which are neurotransmitters that help reduce stress and improve mood. Regular physical activity has been linked to lower rates of depression and anxiety, as it provides a natural boost to mental health. Engaging in activities that involve movement, such as dancing, yoga, or team sports, can also enhance social connections and promote a sense of belonging and self-confidence.

In conclusion, movement is vital for our overall well-being. It contributes to physical health, cognitive development, and emotional well-being. By incorporating regular physical activity into our daily routines, we can reap the numerous benefits associated with movement and lead healthier, more fulfilling lives.

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Answer:

g=76,M=135

Step-by-step explanation:

62+14=76 243-108=135

76-62=14 243=135+108

Answer:

g= 76

m= 135

Step-by-step explanation:

Answer:

3/4= 0.75

9/10= 0.9

8/25= 0.32

5/8= 0.625

Step-by-step explanation:

Answer:

3/4 = 0.75, 9/10 = 0.90, 8/25 = 0.32, 5/8 = 0.625

Step-by-step explanation:

hope this helps!

To determine the probability of making a type II error, we need to know the statistical power of the hypothesis test. Statistical power is the probability of correctly rejecting the null hypothesis when it is false, and is equal to 1 minus the probability of making a type II error.

Suppose that the null hypothesis is that the breakage rate is equal to or greater than 30%, and the alternative hypothesis is that the breakage rate is less than 30%. The significance level of the test is 0.05.

If the new clay reduces breakage to only 20%, then the probability of breakage is 0.20. We need to calculate the power of the test, which is the probability of correctly rejecting the null hypothesis when the alternative hypothesis is true.

The power of the test can be calculated using statistical software or a statistical table. Assuming a sample size of 100, a significance level of 0.05, and a true breakage rate of 20%, the power of the test is approximately 0.66, or 66%.

Therefore, the probability of making a type II error is 1 - 0.66, or 0.34, or 34%. This means that there is a 34% chance that the artist will fail to reject the null hypothesis (that the breakage rate is equal to or greater than 30%) when it is actually false (that the breakage rate is less than 30%).

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The probability that the number of 0's in a randomly generated bit string of length 8 is different from the number of 1's is 56/256, or 7/32.

To understand why, let's consider the possible combinations of 0's and 1's in an 8-bit string. There are a total of 2^8 = 256 possible outcomes. Out of these, we need to determine the number of outcomes where the number of 0's and 1's is different.

One way to approach this is by counting the number of strings with 4 zeros and 4 ones, and then subtracting it from the total number of outcomes. The number of ways to arrange 4 zeros and 4 ones is given by the binomial coefficient C(8,4) = 70. Thus, there are 70 outcomes where the number of 0's and 1's is equal.

Subtracting this from the total number of outcomes, we get 256 - 70 = 186 outcomes where the number of 0's and 1's is different. Therefore, the probability of having an unequal number of 0's and 1's is 186/256, which simplifies to 7/32, or approximately 21.9%.

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The inequalities should be used to determine the sample size, n, if it is know that the standard deviation is 0.45 is 1.645(0.45√n) ≤ 0.1 option D.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. However several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols.

We have Margin of Error as

E = 0.1

\(Z_\alpha_/_2 = 1.645\)

Standard deviation = σ = 0.45

Using the NORMSINV (0.05) we have,

\(Z_\alpha_/_2 (\frac{\sigma}{\sqrt{n} } )\leq E\)

= 1.645 (0.45/√n) ≤ 0.1

Therefore, option D is correct.

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Answer:

I thin its 10 units down but im not sure

Step-by-step explanation: