A triangle can be formed with side lengths 4 in 5in and 9 in. True or false

Answer:

-3.16666667

Step-by-step explanation:

Answer:

The answer is the third one. It means less than 3 degrees. So X is less than 3 degrees meaning the degrees of the freezer is below 3 degrees.

Step-by-step explanation:

Answer:

The previous term

Step-by-step explanation:

Let x = center of our sequence.

x-1 means that you subtract 1 from x.

That means x-1 is less than x itself.

For examples, if we are given x = 2

x-1 means 2-1 = 1

Hence, f(x-1) represents previous term.

Answer:

8

Step-by-step explanation:

hope this helps.

15028 is not a perfect square.

15028 is not a perfect square.

Smallest number by which 15028 can be divided to make it perfect square is 13.

If, we divide 15028 by 13, answer is 1156.

Therefore,

√1156 = 34.

The sample proportion is 0.530 and the z-critical value is 2.58 and the confidence interval at 99% is ( 0.503, 0.556 ).

Given that,

Because watching TV via digital streaming is becoming more and more common, tv advertising companies are having a harder time connecting with viewers. 53% of the 2343 American adults surveyed by the Harris Poll on November 13, 2012, claimed they had viewed digitally streamed television content on at least one device.

We have to find what is the sample proportion? firstly, the z-critical value is ? What is the confidence interval at 99%?

We know that,

n = 2343

Point estimate = sample proportion = \(\hat p\) = 0.530

1 - \(\hat p\) = 1 -0.530 = 0.470

At 99% confidence level

α = 1-0.99% =1-0.99 =0.01

α /2 =0.01/ 2= 0.005

Z(α /2) = Z0.005 = 2.576

Z (α/2) = 2.576 = 2.58

Margin of error = E = Z (α/2) × √((\(\hat p\) × (1 - \(\hat p\) )) / n)

=2.576 × (√(0.530×(0.470) /2343 )

= 0.027

A 99% confidence interval for population proportion p is ,

\(\hat p\)- E < p < \(\hat p\) + E

0.530 -0.027 < p < 0.530 +0.027

0.503 < p < 0.556

( 0.503, 0.556 )

Therefore, The sample proportion is 0.530 and the z-critical value is 2.58 and the confidence interval at 99% is ( 0.503, 0.556 ).

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Answer:

$25,740

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 23400 × 0.05 × 2 = 2340

I = $ 2,340.00

The simple interest accumulated

on a principal of $ 23,400.00

at a rate of 5% per year

for 2 years is $ 2,340.00.

Answer:

\( ( \sqrt{x + 10 - 1} ) {}^{2} = x { }^{2} \\ \\ x + 10 - 1 = x { }^{2} \\ x + 10 = x {}^{2} + 1\)

The correct option A, "None of the associations listed are correct," is the appropriate response.To determine the association suggested by the two-way table, we need to calculate the relative frequency of the data.

The table provides information about whether individuals have a brother and a sister.

Based on the options given, let's calculate the relative frequencies to see which association is suggested:

Calculate the relative frequency for individuals who have a brother and a sister:Relative frequency = (Number of individuals with both a brother and a sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a brother but no sister:Relative frequency = (Number of individuals with a brother but no sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a sister but no brother:Relative frequency = (Number of individuals with a sister but no brother) / (Total number of individuals)

Calculate the relative frequency for individuals who have neither a brother nor a sister:Relative frequency = (Number of individuals with neither a brother nor a sister) / (Total number of individuals)

By comparing the relative frequencies, we can determine which association is suggested by the data.Unfortunately, the given two-way table is missing, so we cannot perform the necessary calculations to determine the association.

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Answer:

c

Step-by-step explanation:

Given an initial quantity , how much time it takes to obtain an amount, by compound interest

the time expected is t in the formula

5000 (( 1+ 7/100) ^ t = 8000

then

( 1+ 7/100) ^t = (8000/5000) = 8/5

then

( 1 + 0.07) ^ 7.013 = 1.60 = 8/5

then the right answer is 7.013 years

Answer:

31-24x/2x-5

Step-by-step explanation:

multiply: (16-24x+15)/(2x-5)

calculate: (31-24x)/(2x-5)

write the division as a fraction:  31-24x/2x-5

The slope of the line passing through the points A(1,0) and B(3,11) is 5.5 as a decimal.

The slope of a line is a measure of how steep the line is and describes the rate at which the line is rising or falling.

It is defined as the change in the y-coordinate (rise) divided by the change in the x-coordinate (run) between two points on the line.

The formula for slope is:

slope = (changes in y)/(change in x).

It is typically denoted by the letter "m".

The slope of the line passing through points A(1,0) and B(3,11) is:

Rise / Run = (Y-Coordinate Change) / (X-Coordinate Change).

= (11-0) / (3-1)

= 11/2

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Answer:

Yes, the set of rational expressions is closed under multiplication.

Step-by-step explanation:

A rational expression is a fraction of polynomials, where the numerator and denominator are both polynomials with coefficients in some field, such as rational numbers. When we multiply two rational expressions, we reproduce two fractions of polynomials.

To multiply two fractions, we multiply their numerators and denominators separately and then simplify the result if possible. When we multiply the numerators and denominators of two rational expressions, we get new polynomials, which are still polynomials with coefficients in the same field. Therefore, the multiplication result is still reasonable, and the set of rational expressions is closed under multiplication.

For example, consider the following two rational expressions:

(a + 1) / (b + 2) and (c - 3) / (d - 4)

Their product is:

[(a + 1) / (b + 2)] * [(c - 3) / (d - 4)]

= (a + 1)(c - 3) / (b + 2)(d - 4)

The result is still rational since the numerator and denominator are both polynomials with coefficients in the same field. Therefore, the set of logical expressions is closed under multiplication.

The given expression \((x∣α,β) = B(α,β)x^(α−1)(1−x)^(β−1), where B(α,β) = Γ(α+β)Γ(α)Γ(β)\), and Γ is a gamma function, is a beta probability density function. Here, we need to simulate n values that follow a beta \((α=2.7, β=6.3)\) distribution using the accept-reject algorithm.

We will use a beta (α=2, β=6) as our proposal distribution and c=1.67 as our c.

We will use scipy.stats.beta.rvs to simulate from our proposal.

The existing code is given as:

python

import numpy as np

import pandas as pd

import matplotlib.pyplot as plt

from scipy.special import gamma

import seaborn as sns

sns.set()

np.random.seed(523)

def f_target(x):

   a = 2.7

   b = 6.3

   beta = gamma(a) * gamma(b) / gamma(a+b)

   p = x**(a-1) * (1-x)**(b-1)

   return 1/beta * p

c = ...

def beta_simulate(n):

   ...

In the above code, `f_target(x)` is the target distribution that we want to simulate from.

Let `f_prop(x)` be the proposal distribution, which we have taken as a beta distribution with α=2, β=6.

The proposal density function can be written as:

f_prop(x) = x^(α-1) * (1-x)^(β-1) / B(α, β),

where B(α, β) is the beta function given by B(α, β) = Γ(α) * Γ(β) / Γ(α+β).

Then, c can be calculated as follows:

c = max(f_target(x) / f_prop(x)), 0 ≤ x ≤ 1.

Now, we can write a code to simulate the beta distribution using the accept-reject algorithm as follows:

python

import numpy as np

import pandas as pd

import matplotlib.pyplot as plt

from scipy.special import gamma

from scipy.stats import beta

import seaborn as sns

sns.set()

np.random.seed(523)

def f_target(x):

   a = 2.7

   b = 6.3

   beta = gamma(a) * gamma(b) / gamma(a+b)

   p = x**(a-1) * (1-x)**(b-1)

   return 1/beta * p

def f_prop(x):

   a = 2

   b = 6

   beta_prop = gamma(a) * gamma(b) / gamma(a+b)

   p = x**(a-1) * (1-x)**(b-1)

   return 1/beta_prop * p

c = f_target(0.5) / f_prop(0.5)  # since f_target(0.5) is greater than f_prop(0.5)

def beta_simulate(n):

   samples = []

   i = 0

   while i < n:

       x = beta.rvs(a=2, b=6)  # simulate from the proposal distribution

       u = np.random.uniform(0, 1)

       if u <= f_target(x) / (c * f_prop(x)):

           samples.append(x)

           i += 1

   return samples

The value of c that we have calculated is 1.67.

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Answer:

a = 63˚

Step-by-step explanation:

1. Recognize that any triangle = ∑180˚

2. 180-81-b-a=0

3. 180-117=63˚

3264 and 16,415

Step-by-step explanation:

136 x 24= 3264

245 x 67 = 16,415

The unit tangent vector is T = < t / √(t^2+36) , -6 / √(t^2+36) , 0 > and the principal unit normal vector is N = < ( 1 / √(t^2 + 36 ) ) , 0 , 0 >.

Given that the parameterized curve is,  r(t) = < (t^2)/2 , 7-6t, -3 >

We are to find the unit tangent vector T and the principal unit normal vector N for the given parameterized curve. To find the unit tangent vector, we need to use the formula given below: T = r'(t) / ||r'(t)||

We know that r(t) = < (t^2)/2 , 7-6t, -3 >

Differentiating the above equation partially with respect to 't', we get:

r'(t) = < t, -6, 0 >

Now, ||r'(t)|| = √( t^2 + 36 )

So, T = r'(t) / ||r'(t)||

On substituting the values, we get T as: T = < t / √(t^2+36) , -6 / √(t^2+36) , 0 >

To find the principle unit normal vector, we need to use the formula given below: N = T' / ||T'||

Where, T' is the derivative of T with respect to 't'.

On differentiating T partially with respect to 't', we get: T' = < ( 36 / ( t^2 + 36 )^(3/2) ) , 0, 0 >

Now, ||T'|| = 36 / ( t^2 + 36 )^(3/2)

Therefore, N = T' / ||T'||

On substituting the values, we get N as: N = < ( 1 / √(t^2 + 36 ) ) , 0 , 0 >

Now, T dot N = 0

So, (T) = (N) = 1

Therefore, the unit tangent vector is T = < t / √(t^2+36) , -6 / √(t^2+36) , 0 > and the principal unit normal vector is N = < ( 1 / √(t^2 + 36 ) ) , 0 , 0 >.

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Explanation:

AD = 15, DB = 12, AE = 10, and EC = 8

To determine if line BC is parallel to line DE, we will find the ratio of thier corresponding sides. if it is equal, they are parallelf

The maximum vertical distance between the functions f(x) = cos(x) and g(x) = sin(x) for π/4 ≤ x ≤ 5π/4 is 0.

To determine the maximum vertical distance between the functions f(x) = cos(x) and g(x) = sin(x) for π/4 ≤ x ≤ 5π/4, we need to determine the absolute difference between the two functions and find its maximum value within the given interval.

The absolute difference between f(x) and g(x) is |f(x) - g(x)| = |cos(x) - sin(x)|.

To determine the maximum value of |cos(x) - sin(x)|, we can observe that it occurs when the two functions are farthest apart, which happens when they have opposite maximum and minimum values.

The maximum value of cos(x) is 1 and the minimum value is -1, while the maximum value of sin(x) is 1 and the minimum value is -1. Therefore, the maximum vertical distance between the two functions occurs when cos(x) = 1 and sin(x) = -1.

Solving cos(x) = 1 and sin(x) = -1 simultaneously, we find that x = 3π/2.

Thus, the maximum vertical distance between f(x) and g(x) for π/4 ≤ x ≤ 5π/4 is |f(3π/2) - g(3π/2)| = |cos(3π/2) - sin(3π/2)| = |-1 - (-1)| = 0.

Therefore, the maximum vertical distance between the functions f(x) = cos(x) and g(x) = sin(x) for π/4 ≤ x ≤ 5π/4 is 0.

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Step-by-step explanation:

Let,the two complementary angle be 4x and 5x. Here,4x+5x=90⁰,9x=90⁰,x=90÷9,x=10⁰.

The Correct answer is 40° and 50 °, the two complementary angles that have measures in the ratio of 4/5

Step-by-step explanation:

The sum of two angles [∠] is equal to or less than 90° then they are known as Complementary Angles.

Let's take the common factor to be x

4x + 5x = 90°

9x = 90°

x = 10°

Angles were 4x and 5x.

4x = 4 * 10 = 40°

5x = 5 * 10 = 50°

Hence, two complementary angles which are in the ratio 4:5 are 40° and 50°.

Thank you

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Answer:

I think it's a hope this helps

Answer:

$23.31

Step-by-step explanation:

$21 x 1.11 = $23.31

Answer:

I think the greatest x- intercept is f(x)=3x-9

The DEXA is the most accurate form of body composition measurement.

What is an x-ray?

An X-ray is a rapid and painless technique which is commonly used to generate images of the internal parts of a human body. It is a very effective and convenient way of looking for bone damages and other problems.

Explanation

The statement 'the dual-energy x-ray absorptiometry (DEXA) is the gold standard measurement for body composition is true. Here, the gold standard means the most accurate form of measurement.

Hence, the given statement is true.

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The main difference between an area variance and a use variance is that area variance allows for an exception to zoning regulations related to the physical characteristics of a property, while use variance allows for an exception to regulations related to the intended use of a property.

An area variance is typically granted when a property owner is unable to comply with zoning regulations related to setbacks, building height, lot coverage, or other physical characteristics of a property.

In contrast, a use variance allows a property owner to use their property for a purpose that is not permitted under the current zoning regulations. This may include using a residential property for commercial purposes or using a commercial property for residential purposes.

Use variances are generally more difficult to obtain than area variances, as they require a showing of a unique hardship or practical difficulty that cannot be addressed through other means.

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The dimensions of the enclosure that is most economical to construct are 10 feet by 31 feet.

To find the most economical dimensions, we need to minimize the cost of the fence. Let the length of the rectangle be L and the width be W. We know that the area of the rectangle is 310 square feet, so L * W = 310.

We also know that the cost of the fence is given by:

Cost = 5L + 5W + 15L

= 20L + 5W

= 20L + 5(310/L)

We can now differentiate this expression with respect to L to find the value of L that minimizes the cost:

\(d(Cost)/dL = 20 - 1550/L^2\)

Setting this to zero, we get:

\(20 - 1550/L^2 = 0\)

\(L^2 = 77.5\)

\(L = \sqrt{77.5} = 8.8\) (rounded to one decimal place)

Substituting this value of L into L * W = 310, we get:

W = 310/L = 35.2/4 = 8.8 * 3.99 (rounded to two decimal places)

Therefore, the dimensions of the enclosure that is most economical to construct are 10 feet by 31 feet.

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Planets around other stars can be detected by carefully measuring the "brightness" or "light intensity" of stars.

When a planet orbits a star, it causes a slight change in the brightness or light intensity of the star. This is known as the transit method of planet detection. As the planet passes in front of the star from our line of sight, it blocks a small portion of the star's light, causing a temporary decrease in its brightness. By carefully measuring these changes in brightness over time, scientists can infer the presence and characteristics of planets orbiting the star. This method has been instrumental in the discovery of numerous exoplanets in recent years.

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In the given study comparing the effects of regular-fat cheese to reduced-fat cheese on LDL cholesterol levels, the dependent variable(s) refers to the outcome(s) that are being measured or observed. In this case, the dependent variable in this study is: b. LDL levels

The dependent variable is the variable that is measured or observed to assess the effect of the independent variable(s). In this case, the study is comparing the effects of regular-fat cheese and reduced-fat cheese on LDL cholesterol levels.

LDL cholesterol levels are the outcome being measured to determine the impact of the different types of cheese on cholesterol. Therefore, option b, LDL levels, is the dependent variable in this study. Options a (regular fat cheese) and c (reduced fat cheese) are not the dependent variables but rather the independent variables, as they are the different conditions being compared to assess their effect on LDL levels.

Option d (both a and b) and option e (both b and c) are incorrect because regular-fat cheese (option a) is an independent variable, not a dependent variable.

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