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The distance from two golf balls to the hole is 8 feet and 13 feet, respectively. If both balls are hit directly into the hole, the angle formed by their pathways is 64. Find the distance between the golf balls

Answer:

9y

Step-by-step explanation:

\(\bullet\; \tt{(3y)^2} = 3^2y^2 = 9y^2}\)

\(\bullet\; \tt y^{-1} = \dfrac{1}{y}\\\\\bullet\;(3y)^2 \times y^{-1} = 9y^2 \times \dfrac{1}{y } = \dfrac{9y^2}{y}\\\\\\bullet \tt \dfrac{y^2}{y} = y\\\\\tt \bullet \dfrac{9y^2}{y} = 9y\)

Answer:

y=-2x-94

Step-by-step explanation:

You can do anything with the y-intercept. The line is parallel (same slope) and the y-intercept can be literally any number in the world. I would advise to not use negative or positive infinity though.

An example of a regression that arguably would have a high value of R2 but would produce biased and inconsistent estimators of a causal effect is a regression of income against age. The R2 is likely to be high because income tends to increase with age. However, the OLS estimators would be biased and inconsistent because there are other factors that affect income besides age.

Regression models seek to analyze relationships between variables. A high R2 indicates a good fit of the model and suggests that a large part of the variation of the dependent variable is explained by the independent variables. In the regression of income against age, age is the independent variable and income is the dependent variable.

The R2 in this regression is likely to be high because income tends to increase with age due to factors such as experience, promotions, and seniority. The OLS estimators, on the other hand, would be biased and inconsistent because there are other variables that affect income besides age.

For example, education level, location, and occupation are all factors that could affect income but are not included in the regression model. Therefore, the causal effect of age on income cannot be estimated accurately.

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9514 1404 393

Answer:

  1.05

Step-by-step explanation:

Following instructions, we have ...

  Z = (X -μ)/σ

  Z = (180 -159)/20 = 21/20

  Z = 1.05

The Z-score associated with the value 3 minutes is 1.05.

_____

Additional comment

About 14.7% of customers will be getting free coffee.

Answer:

Sample anwer from Edm and Plato

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Right angles add up to 90

5x + 4x = 90

9x = 90  Divide both sides by 9

x = 10

The expressions are simplified to give;

7. 4n³(3n² + 4)

8. -3x(3x² - 4)

9. 5(k² - 8k + 2)

10. -10(6 + 6n² + 5n³)

11. 3(6n³ - 4n - 7)

12. 9(7n³ + 9n + 2)

Algebraic expressions are defined as mathematical expressions that are composed of variables, coefficients, terms, factors and constants.

These algebraic expressions are also made up of arithmetic operations, such as;

To factorize the expressions, we have;

12n⁵ + 16n³

Find the common term

4n³(3n² + 4)

-9x³ - 12x

find the common term

-3x(3x² - 4)

5k² - 40k + 10

find the common terms

5(k² - 8k + 2)

-60 + 60n² + 50n³

find the common term

-10(6 + 6n² + 5n³)

18n³ -12n - 21

find the common term

3(6n³ - 4n - 7)

63n³ + 81n + 18

Find the common term

9(7n³ + 9n + 2)

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A frequency distribution in which high scores are most frequent is said to be positively skewed or right-skewed.

In statistics, skewness refers to the asymmetry of a probability distribution. A frequency distribution is said to be positively skewed or right-skewed if the majority of the data is concentrated on the right side of the distribution, while a few high values are outliers on the right tail. The frequency distribution will look like a graph that is shifted to the right with a longer tail on the right side.

Positive skewness means that the mean (average) of the data will be higher than the median (middle value). The median is a more robust measure of central tendency than the mean in a positively skewed distribution, because it is not influenced by the outliers on the right tail.

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The probability that a customer spends between 39 and 43 minutes in the supermarket is 0.1359

We are given that the time customers spend in the supermarket is approximately normally distributed with a mean of 45 minutes and a standard deviation of 6 minutes.

Let X be the random variable representing the time a customer spends in the supermarket. Then, we want to find P(39 < X < 43).

To solve this problem, we can standardize X to a standard normal distribution with mean 0 and standard deviation 1 using the formula:

Z = (X - μ) / σ

where μ is the mean and σ is the standard deviation of X.

Substituting the values given, we get:

Z = (X - 45) / 6

Now, we want to find P(39 < X < 43), which is equivalent to finding P[(39 - 45) / 6 < (X - 45) / 6 < (43 - 45) / 6], or P(-1 < Z < -2/3) where Z is a standard normal random variable.

Using a standard normal distribution table or a calculator, we can find that the probability of Z being between -1 and -2/3 is approximately 0.1359.

Therefore, the probability that a customer spends between 39 and 43 minutes in the supermarket is approximately 0.1359.

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The rules of the patterns are 3 + 3x and 6 + 6y

The patterns are given as:

For pattern x, we have the following highlights:

Start = 3

Rule = Add 3

This means that the nth term of pattern x is:

Pattern x = 3 + 3x

For pattern y, we have the following highlights:

Start = 6

Rule = Add 6

This means that the nth term of pattern y is:

Pattern y = 6 + 6y

For pattern x, set x = 0, 1, 2 and 3

So, we have

3 + 3x = 3 + 3(0) = 3

3 + 3x = 3 + 3(1) = 6

3 + 3x = 3 + 3(2) = 9

3 + 3x = 3 + 3(3) = 12

For pattern y, set y = 0, 1, 2 and 3

So, we have

6 + 6x = 6 + 6(0) = 6

6 + 6x = 6 + 6(1) = 12

6 + 6x = 6 + 6(2) = 18

6 + 6x = 6 + 6(3) = 24

Next, we plot the graphs of both patterns (see attachment) where the blue line represents pattern 1, and the other represents the second pattern

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Answer:yes

Step-by-step explanation:

The length of the curve is given by the integral of the square root of the sum of the squares of the derivatives of each component of r(t), integrated over the given interval, length is 6 units.

In this case, we have

r(t) = cos(6t) i + sin(6t) j + 6 ln(cos(t)) k, and we need to find the length of the curve from t = 0 to t = π/4.

Using the arc length formula, we have the integrand as the square root of (-6sin(6t))^2 + (6cos(6t))^2 + (-6sin(t) / cos(t))^2.

Simplifying the integrand, we get √(36sin²(6t) + 36cos²(6t) + 36sin²(t) / cos²(t)).

Further simplifying, we have √(36 + 36sin²(t) / cos²(t)).

By applying trigonometric identities, we can rewrite the integrand as √(36cos²(t) + 36sin²(t) / cos²(t)).

Simplifying further, we obtain √(36 + 36tan²(t)).

Now,

∫√(36 + 36u²) du / (1 + u²).

Now, we can simplify the integrand:

√(36 + 36u²) / (1 + u²).

Next, we can factor out 36 from the square root:

√36(1 + u²) / (1 + u²).

Simplifying further, we get:

√36 = 6, so the integral becomes:

6∫(1 + u²) / (1 + u²) du.

Notice that the expression (1 + u²) / (1 + u²) simplifies to 1, so the integral reduces to:

6∫du.

Integrating du gives us u + C, where C is the constant of integration.

Therefore, the indefinite integral of √(36 + 36tan²(t)) dt is 6(tan(t)) + C.

To evaluate the definite integral over the interval from 0 to π/4, we substitute the upper and lower limits:

[6(tan(π/4)) - 6(tan(0))] = [6(1) - 6(0)] = 6.

Hence, the length of the curve defined by the given vector function over the interval from 0 to π/4 is 6.

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Answer:

y = -2/3x + 16/3

Step-by-step explanation:

y = -2/3x + b

4 = -2/3(2) + b

4 = -4/3 + b

16/3 = b

Answer: whats the question?

Step-by-step explanation:

doesnt make any sense

The statement "They are called from an instance of the class." is not true about static methods.

Static methods are class-level methods that can be accessed without creating an instance of the class. They are associated with the class itself rather than specific instances of the class.

This means that static methods can be called directly using the class name, without the need to create an object or instance of the class.

For example, if we have a class called "MathUtils" with a static method called "multiply", we can call the method as:

MathUtils.multiply(5, 10);

We don't need to create an instance of the MathUtils class before calling the multiply method.

Static methods are defined by placing the keyword "static" after the access specifier (e.g., public, private) in the method header. This keyword indicates that the method belongs to the class and can be accessed without creating an instance.

In summary, static methods are not associated with instances of the class and can be accessed directly through the class name. They are not called from an instance of the class.

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Answer

100 times 3.14=314 times 360=113,040

Step-by-step explanation:

The amount she will need to pay is $6.95 .

The amount Anye will need is calculated as follows;

The total cost of the two coffees is 2 x $3.55 = $7.10

The total cost of the coffees and muffin is $7.10 + $2.85 = $9.95

Adding the $2 tip, the total cost becomes $9.95 + $2 = $11.95.

If Anye has a $5 gift card, the amount she will need to pay is calculated as;

= $11.95 - $5

= $6.95

Therefore, Anye will need $6.95 in cash to pay for the rest of the order.

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Answer:

I think The choose C. 15

Step-by-step explanation:

wv=40

vG=20 =ST

PT=25

ST²+SP²=PT² —> 20²+SP²=25 —> 400+SP²=625

PS²=225 —> SP=15 in

I hope I helped you^_^

The value of SP is 15 inch.

The well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Given:

VW=40

VG=20 =ST

and, PT=25

Now, using pythagoras theorem

ST²+SP²=PT²

20²+SP²=25

400+SP²=625

PS²=225

SP=15 in

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Answer:

15x -4 = 11x       and          4x+5=9x

9 timees11 = 20x

Step-by-step explanation:

20x for first anwer

thank me later emmitheblackbobcat

Answer:

I can't understand the person above. but by looking at his results; they are equivalent to mine for this question.

we can use the proportion: (Number of votes received by the candidate) / (Total number of votes) = 43% / 100%. the candidate received approximately 37.41 votes.

In the given local election, the candidate received 43% of the votes. To determine the number of votes they obtained, we need to use a proportion. A proportion is an equation that states that two ratios are equal.

Let's represent the number of votes received by the candidate as "x." The total number of votes cast in the election is stated as 87.

We can set up the proportion:

x / 87 = 43% / 100.

To solve for "x," we can cross-multiply:

100 * x = 43% × 87.

Simplifying further, we have:

x = (43/100) × 87.

By multiplying the fraction (43/100) by 87, we can determine the number of votes received by the candidate. Evaluating this expression, the candidate received approximately 37.41 votes.

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The translated function is:

g(x) = |x  + 3| - 5

The parent function is f(x) = |x|, and we need to translate it.

Remember that:

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

Then a translation of 3 units to the right and 5 units down is written as:

g(x) = f(x + 3) - 5 = |x  + 3| - 5

That is the translated function.

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Answer:

28.79 cm.

Step-by-step explanation:

The perimeter of a semicircle is equal to the sum of the diameter (which is twice the radius) and half of the circumference of the circle.

The diameter of the semicircle is 2 × 5.6cm = 11.2cm.

The circumference of a full circle with radius 5.6cm is 2π × 5.6cm = 11.2π cm.

Therefore, the circumference of the semicircle is 1/2 of the circumference of the full circle, which is 1/2 × 11.2π cm = 5.6π cm.

The perimeter of the semicircle is the sum of the diameter and the circumference, which is:

11.2cm + 5.6π cm ≈ 28.79cm (rounded to two decimal places)

Therefore, the perimeter of the semicircle is approximately 28.79 cm.

Answer:

pi ( 5.6 ) + 11.2 or approximately 28.79291 cm

Step-by-step explanation:

The outside of the semicircle or the perimeter is 1/2 of the circumference and the length that closes the circle is the diameter.

Perimeter = 1/2 C + d

                 = 1/2 *pi*d + d

The diameter is 2 times the radius.

                 = 1/2 ( pi) * (2r) + 2r

                  = pi r + 2 r

                   = pi ( 5.6 ) + 11.2

Approximating pi, we get approximately 28.79291

Answer:

65 degrees

Step-by-step explanation:

It is an isosceles triangle, because two sides are equivalent. The only way both equivalent sides share a point is if that point (Q) is in the middle. The measure is 50 degrees. A triangle = 180 degrees. In an isosceles triangle, the two angles below the two equivalent sides must be equal.

180 - 50 = 130

130 / 2 = 65

Both angles that are not Q equal 65 degrees. And P is one of them.

:)

Answer:

65 degrees I believe

Step-by-step explanation:

Math skillz xD lol

Answer:10:05

Step-by-step explanation:

subtract 45 from 50!

Answer:

She started the test at 10:05 am

Step-by-step explanation:

Take the end time and subtract the time of the test

10:50-45 = 10:05

She started the test at 10:05 am

Ultimately, the most appropriate course of action for this patient should be determined by a healthcare professional who can assess the patient's individual condition and tailor the treatment plan accordingly.

It is important to consult with a healthcare professional or a psychiatrist who can evaluate the patient's specific condition and make appropriate recommendations.

In this scenario, Mirza, a 75-year-old patient with a history of schizophrenia and cognitive decline consistent with dementia, is currently on a regimen of risperidone 1mg BID. The best course of action would depend on several factors, including the patient's overall health, response to the current medication, severity of symptoms, and potential risks and benefits of alternative treatments.

Options (b), (c), and (d) suggest alternative medication approaches, but the appropriateness of each option would depend on the patient's individual circumstances. Discontinuing risperidone and starting a new medication or augmenting risperidone with another medication should be carefully considered based on the patient's symptoms, treatment history, and potential side effects.

Option (a) suggests adjusting the dosing schedule of risperidone by increasing the morning dose and adding an evening dose. This approach may be considered if the patient has been responding well to risperidone, and the cognitive decline is not attributed to the medication. However, the decision to adjust the dosage should be made in consultation with a healthcare professional.

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The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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No, W is not a subspace of R3 because it is not closed under vector addition and scalar multiplication, even though it contains the zero vector.

A set must meet three requirements to be a subspace of a vector space: (1) it must include the zero vector, (2) it must be closed under vector addition, and (3) it must be closed under scalar multiplication.

While W includes the zero vector (0, 0, 0), vector addition does not close it. For example, the triples (3, 4, 5) and (5, 12, 13) are both Pythagorean, but their addition (8, 16, 18) is not. As a result, W does not meet the second requirement and is not a subspace of R3.

Under scalar multiplication, W is likewise not closed. When we multiply the Pythagorean triple (3, 4, 5) by -1, we obtain (-3, -4, -5), which is not a Pythagorean triple. Therefore, W does not satisfy the third condition and is not a subspace of R.

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The true relative error between the computed sum and 2π is then outputted for each value of n.

To compute the sum of the infinite series ∑(k=0 to n) 4^k (kt)^2 (2k+1) / (2k)!, we can use Python and double for loops. The outer loop iterates over the desired values of n, while the inner loop calculates the terms of the series for each value of k.

By incrementally summing the terms, we obtain the computed sum for each value of n. Next, we compare this computed sum to the value of 2π. The true relative error is calculated by subtracting 2π from the computed sum, dividing the result by 2π, and then taking the absolute value.

For the given values of n (10, 20, 30, 40, and 50), the computed sums and their respective true relative errors are outputted. Each line of the output corresponds to a different upper limit of summation.

The true relative error provides a measure of the difference between the computed sum and the expected value of 2π, indicating the accuracy of the approximation.

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Complete Question

The true relative error between the computed sum and 2π is then outputted for each value of n. Using Python and double for loops, compute the sum of the infinite series ∑(k=0 to n) 4^k (kt)^2 (2k+1) / (2k)! for the given values of n (10, 20, 30, 40, and 50). Compare the computed sum to 2π and calculate the true relative error by subtracting 2π from the computed sum, dividing the result by 2π, and taking the absolute value. Output the computed sums and their respective true relative errors, with each line of the output corresponding to a different upper limit of summation.

The area of the window frame will be 136 square inches.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that a rectangular pane of glass measuring 12 inches by 18 inches is surrounded by a wooden frame that is 2 inches wide.

The area of the rectangular window will be calculated as below:-

Area of window = Area of outer layer - Area of the inner layer

Area of window = 22 x 16 - 18 x 12

Area of window = 352 - 216

Area of window = 136 square inches

Therefore, the area of the window frame will be 136 square inches.

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Answer:

x = 2 + √ − 1 ( 9 y 2 + 6 y − 4 ) 3

x = 2 − √ − 1 ( 9 y 2 + 6 y − 4 ) 3

Step-by-step explanation:

Answer:

x=−4y is the answer i think.

Step-by-step explanation:

Given the right triangle:

First, we know that ∡A and ∡B are complementary angles

Now, using the trigonometric functions:

Finally, using the values of A, B, and c to find a and b:

Summarizing:

: