Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance has a melting point of -48.39°C and a
boiling point of 313.31°C. What is the range of temperatures in degrees Fahrenheit for which this substance is not in a liquid state? (Hint: C=5/9(F-32)) Express the range
as an inequality
Let x represent the temperature in degrees Fahrenheit. What is the range of temperatures for which this substance is not in a liquid state?

(Type an inequality or a compound inequality. Simplify your answer. Use integers or decimals for any numbers in the expression Round to three decimal places as needed)

The equation's answer is x = 7.5. 4x - 1 2 = x + 7.

x = 1 is the answer to the problem 3x + 2 = (2x + 13) 3.

a) To solve the equation 4x - 1 ÷ 2 = x + 7, we need to isolate the variable x. Let's follow the steps:

1: Distribute the division operation to the terms inside the parentheses.

  (4x - 1) ÷ 2 = x + 7

2: Divide both sides of the equation by 2 to isolate (4x - 1) on the left side.

  (4x - 1) ÷ 2 = x + 7

  4x - 1 = 2(x + 7)

3: Distribute 2 to terms inside the parentheses.

  4x - 1 = 2x + 14

4: Subtract 2x from both sides of the equation to isolate the x term on one side.

  4x - 1 - 2x = 2x + 14 - 2x

  2x - 1 = 14

5: Add 1 to both sides of the equation to isolate the x term.

  2x - 1 + 1 = 14 + 1

  2x = 15

6: Divide both sides of the equation by 2 to solve for x.

  (2x) ÷ 2 = 15 ÷ 2

  x = 7.5

Therefore, x = 7.5 is the solution to the equation 4x - 1 ÷ 2 = x + 7. However, note that this answer is not an integer, so it may not be valid for certain contexts.

b) To solve the equation 3x + 2 = (2x + 13) ÷ 3, we can follow these steps:

1: Distribute the division operation to the terms inside the parentheses.

  3x + 2 = (2x + 13) ÷ 3

2: Multiply both sides of the equation by 3 to remove the division operation.

  3(3x + 2) = 3((2x + 13) ÷ 3)

  9x + 6 = 2x + 13

3: Subtract 2x from both sides of the equation to isolate the x term.

  9x + 6 - 2x = 2x + 13 - 2x

  7x + 6 = 13

4: Subtract 6 from both sides of the equation.

  7x + 6 - 6 = 13 - 6

  7x = 7

5: Divide both sides of the equation by 7 to solve for x.

  (7x) ÷ 7 = 7 ÷ 7

  x = 1

Hence, x = 1 is the solution to the equation 3x + 2 = (2x + 13) ÷ 3.

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If the margin of error for a 95% confidence interval for a population parameter equals 0.13, it means that we can be 95% confident that the true value of the population parameter lies within a range that extends 0.13 units in either direction from the point estimate.

A confidence interval is a range of values within which we estimate the true value of a population parameter with a certain level of confidence. The margin of error is the amount by which the estimate is likely to deviate from the true population value. In this case, the margin of error is 0.13.

A 95% confidence interval means that if we were to take multiple samples from the same population and construct confidence intervals for each sample using the same method, 95% of those intervals would contain the true population parameter. In other words, there is a 95% chance that the true value of the population parameter falls within the calculated confidence interval.

The margin of error of 0.13 indicates the width of the confidence interval. It represents the maximum amount by which the point estimate, which is the center of the confidence interval, can deviate from the true population value. The confidence interval will extend 0.13 units in both directions from the point estimate.

Therefore, if the margin of error for a 95% confidence interval for a population parameter equals 0.13, it means that we can be 95% confident that the true value of the population parameter lies within a range that extends 0.13 units in either direction from the point estimate

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Answer: Looks like u already answered the question

Step-by-step explanation:

The expression 4[(3/4)y - 2 + (1/2)y] is equivalent to the expression 5y - 8 and 3y - 8 + 2y.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 4[(3/4)y - 2 + (1/2)y]

Simplify the expression, then we have

⇒ 4[(3/4)y - 2 + (1/2)y]

⇒ 3y - 8 + 2y

⇒ 5y - 8

The expression 4[(3/4)y - 2 + (1/2)y] is equivalent to the expression 5y - 8 and 3y - 8 + 2y.

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The graph that matches sine function y = 2 sin (x – π) + 2 is:

On a coordinate plane, a function has a maximum of 4 and minimum of 0. It completes one period at 2 pi. It decreases through the y-axis at (0, 2).

A graph is a pictorial representation of data. Graphs are usually plotted in a cartesian plane having x and y directions

The graph in the given problem is a graph showing sin function representing sinusoidal waves.

The given equation: y = 2 sin (x – π) + 2

substituting x = 0

y = 2 sin (0 – π) + 2

y = 2 sin (-π ) + 2  (in radians)

y = 2 * 0 + 2

y = 0 + 2

y = 2

Therefore the ordered pair is correct for the graph (0, 2)

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Answer: The answer is D (the last option)

Step-by-step explanation:

Answer:

48

11

Step-by-step explanation:

5 glasses  ------  20 sec

12 glasses ------  ?

so 5 * x = 12 * 20

x = 12 * 4

x = 48

12 glasses -------  48 sec

?   glasses -------  44 sec

so 12 * 44 = x * 48

44 = x * 4

x = 44/4 = 11

x = 11

Answer:

12 - 48

11 - 44

Step-by-step explanation:

20 ÷ 5 = 4

12 · 4 = 48

44 ÷ 4 = 11

I hope this helps!

The solution is, A and C are not independent.

B and C are not independent either.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

By the multiplication rule, the sampling space has possible outcomes.  

Let's compute P(A), P(B), P(C), P(A∩C), P(B∩C), P(A|C) and P(B|C).

As there are only two outcomes that does not have at least on tail in the first three tosses (H,H,H,H) and (H,H,H,T) then  

P(A) = 14/16 = 7/8

Similarly, as there are only two outcomes that does not have at least on head in the last three tosses (H,T,T,T) and (T,T,T,T) then  

P(A) = 14/16 = 7/8

A∩C and B∩C have 4 possible outcomes (T,H,T,T), (T,H,T,H), (H,H,T,T) and (H,H,T,H), so  

P(A∩C) = P(B∩C) = 4/16 = ¼

P(A) given C and P(B) given C have the following probabilities:  

P(A|C) = P(A∩C)/P(C) = 1

P(B|C) = P(B∩C)/P(C) = 1

Since P(A|C)≠P(A), A and C are not independent

Since P(B|C)≠P(B), B and C are not independent

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Answer:

Yes because you can multiply the numerator and denominator by 2.5 to get 10/30 so it is proportional

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

it makes 2/3 when reduced

Answer:

B=28

Step-by-step explanation:

Answer:

$5.00-$7.00/ $7.00=P/100

Step-by-step explanation:

Answer:

it's A on time 4 learning

Step-by-step explanation:

:)

give me a thanks if it helped

The solutions to the given equation on the interval 0≤x<2π. −8sin(5x)=−4√ 3 The solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π are:

x = π/3 and x = 2π/3.

To find the solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π, we can start by isolating the sine term.

Dividing both sides of the equation by -8, we have:

sin(5x) = √3/2

Now, we can find the angles whose sine is √3/2. These angles correspond to the angles in the unit circle where the y-coordinate is √3/2.

Using the special angles of the unit circle, we find that the solutions are:

x = π/3 + 2πn

x = 2π/3 + 2πn

where n is an integer.

Since we are given the interval 0 ≤ x < 2π, we need to check which of these solutions fall within that interval.

For n = 0:

x = π/3

For n = 1:

x = 2π/3

Both solutions, π/3 and 2π/3, fall within the interval 0 ≤ x < 2π.

Therefore, the solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π are:

x = π/3 and x = 2π/3.

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32 can be written as product of factors 4 × 8 and 2 × 16

The factor of a number is a number that divides the given number completely without any remainder. The factors of a number can be positive or negative.

Given number

32

factoring 32

32 = 2 × 2 × 2 × 2 × 2

32 = 4 × 8

32 = 2 × 16

Hence, product of factors 4 × 8 and 2 × 16 is 32.

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Answer:

54 Degrees

Step-by-step explanation:

The unknown biomolecule is a protein.

The unknown biomolecule is a protein. Benedict's test is commonly used to detect reducing sugars such as glucose, which produce a blue color. Since the color remained blue in the test, it suggests that the unknown biomolecule does not contain reducing sugars. On the other hand, the biuret test is used to detect the presence of peptide bonds, which are characteristic of proteins. When the unknown biomolecule was subjected to the biuret test, the color changed to purple, indicating the presence of peptide bonds and thus confirming that the unknown biomolecule is a protein.

Proteins are complex macromolecules composed of amino acids linked together by peptide bonds. They play crucial roles in various biological processes, serving as structural components, enzymes, antibodies, and signaling molecules, among others. Benedict's test, which relies on the reduction of copper ions by reducing sugars, is not specific for proteins. Therefore, the lack of color change indicates the absence of reducing sugars in the unknown biomolecule. However, the biuret test specifically detects peptide bonds, which are unique to proteins. The formation of a purple color in the biuret test confirms the presence of proteins in the unknown biomolecule.

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Answer:

7 m

Step-by-step explanation:

A square has 4 equal sides so the 4 sides must add up to 28.

28 / 4 = 7m

Answer:

Step-by-step explanation:

radius of convergence of the power series is 4/3 and the interval of convergence is (-4/3, 4/3).
The binomial series is given by:

(1 + x)^r = 1 + rx + r(r-1)x^2/2! + r(r-1)(r-2)x^3/3! + ...

Expanding the function (1-x)^(-3/2) using the binomial series, we get:

(1 - x)^(-3/2) = 1 + (3/2)x + (3/4)(5/2)x^2 + (3/4)(5/4)(7/2)x^3 + ...

The general term of the power series is given by:

T_n = (3/4)(5/6)(7/8)...(2n-1)/(2^n)n! x^n

We can simplify the general term as:

T_n = [(2n-1)!! / (2^n n!)] (3/4)^n x^n

where (2n-1)!! is the double factorial of (2n-1).

The series converges for values of x such that:

|3x/4| < 1

or |x| < 4/3

Therefore,  radius of convergence of the power series is 4/3 and the interval of convergence is (-4/3, 4/3).

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The lower bound of a 99% confidence interval for s² is equal to 621 (round off to the nearest integer).

Sample mean = 36.5

Sample variance s² = 1148

Use the chi-square distribution to construct a confidence interval for the population variance σ².

Since we have a sample size of 18,

Use the chi-square distribution with 17 degrees of freedom (18-1) to calculate the confidence interval.

First, calculate the chi-square values for the lower and upper bounds of the confidence interval.

For a 99% confidence interval with 17 degrees of freedom, the chi-square values are,

Attached table.

χ²_L = 7.564

χ²_U = 31.410

Next, use the formula for the confidence interval,

[ (n - 1) s² / χ²_U , (n - 1) s² / χ²_L ]

Substituting the values from the problem, we get,

[ (18-1) (1148) / 31.410 , (18-1) (1148) / 7.564 ]

Simplifying, we get,

[ 621.33 , 2580.1]

Therefore, the lower bound of the confidence interval for σ² is 621 (rounding to the nearest integer).

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The above question is incomplete, the complete question is:

A random sample of size 18 from a normal population gives sample mean 36.5 and sample variance s² 1148. Find the lower bound of a 99% confidence interval for σ²(round off to the nearest integer).

Using the cosine rule, the distance the plane has flown during Jack's phone call can be calculated by taking the square root of the sum of the squares of the initial and final distances, minus twice their product, multiplied by the cosine of the angle difference.

To determine the distance the plane has flown during Jack's phone call, we can use the cosine rule in trigonometry.

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Let's denote the initial distance from Jack to the plane as d1 and the final distance as d2.

We know that the altitude of the plane remains constant at 2400 meters.

According to the cosine rule:

\(d^2 = a^2 + b^2 - 2ab \times cos(C)\)

Where d is the side opposite to the angle C, and a and b are the other two sides of the triangle.

For the initial angle of elevation (70°), we have the equation:

\(d1^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \timescos(70)\)

Similarly, for the final angle of elevation (50°), we have:

\(d2^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \times cos(50)\)

To find the distance the plane has flown, we subtract the two equations:

\(d2^2 - d1^2 = 2 \times 2400 \times a \times (cos(70) - cos(50))\)

Now we can solve this equation to find the value of a, which represents the distance the plane has flown.

Finally, we calculate the square root of \(a^2\) to find the distance in meters.

It's important to note that the angle of elevation assumes a straight-line path for the plane's movement and does not account for any changes in altitude or course adjustments that might occur during the phone call.

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It is possible for a measure to be highly reliable but not valid.

Reliability refers to the consistency and stability of measurements, indicating that the measure produces consistent results over multiple administrations or across different raters.

On the other hand, validity refers to the extent to which a measure accurately assesses the intended construct or concept.

A measure can be reliable if it consistently produces the same results, even if those results do not accurately reflect the concept being measured.

For example, if a thermometer consistently shows a temperature reading that is consistently 5 degrees higher than the actual temperature, it is reliable (consistent) but not valid (accurate).

In research, it is crucial to strive for measures that are both reliable and valid to ensure accurate and meaningful results.

However, it is important to recognize that reliability and validity are separate properties, and a measure can have one without the other.

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I believe the answer you are looking for is 2.4.

Solution:

n over 3/10-2=6

n over 3/10=8

Multiply 3/10 and 8

You will get 2.4.

Answer:

It's Parallel

Step-by-step explanation:

Perpendicular have to intersect  

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Answer:A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

40

her age was 36 she added 4nwhich made 40 then doubles makesn80

9514 1404 393

Answer:

  76

Step-by-step explanation:

For age 'a', the special number was supposed to be ...

  2a +4

Tammi's mother actually calculated it as ...

  2(a +4) = 2a +8

a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.

The special number was supposed to be 80 -4 = 76.

The total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

To find the total amount of money earned by Nora over 21 years, we need to calculate the salary for each year and then sum them up.

In the first year, Nora's salary is $40,000.

In the second year, her salary will be increased by 3%, so it will be:

$40,000 + 3% of $40,000 = $40,000 + $1,200 = $41,200.

In the third year, her salary will again increase by 3%, so it will be:

$41,200 + 3% of $41,200 = $41,200 + $1,236 = $42,436.

We can continue this process for each year, adding 3% of the previous year's salary to calculate the next year's salary.

To calculate the total amount of money earned over the 21 years, we need to sum up the salaries for each year. Here's the calculation:

Total = $40,000 + $41,200 + $42,436 + ... (21 terms)

To simplify the calculation, we can use the formula for the sum of an arithmetic series:

Total = (n/2) * (2a + (n - 1)d)

where:

n = number of terms (21 in this case)

a = first term ($40,000)

d = common difference (3% of the previous year's salary)

Plugging in the values:

Total = (21/2) * [2(40,000) + (21 - 1)(0.03)(40,000)]

Simplifying further:

Total = (21/2) * [80,000 + 20(0.03)(40,000)]

= (21/2) * [80,000 + 2,400(40,000)]

= (21/2) * [80,000 + 96,000]

= (21/2) * 176,000

= 21 * 88,000

= 1,848,000

Therefore, the total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

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Answer:

=−21x2+5x+4

Step-by-step explanation:

Let's simplify step-by-step.

4−3(7x2)+5x

=4+−21x2+5x

The functions f(x) = 3x - 7 and g(x) = -1/3x - 7/3 are not inverse functions of each other.

In order to determine if two functions are inverses of each other, we need to check if the composition of the functions results in the identity function.

To find the composition of f(g(x)), we substitute g(x) into f(x):

f(g(x)) = f(-1/3x - 7/3) = 3(-1/3x - 7/3) - 7 = -x - 7 + 7 = -x

Similarly, to find the composition of g(f(x)), we substitute f(x) into g(x):

g(f(x)) = g(3x - 7) = -1/3(3x - 7) - 7/3 = -x + 7/3 - 7/3 = -x

Both f(g(x)) and g(f(x)) result in -x, which is not equal to the identity function x. Therefore, f(x) = 3x - 7 and g(x) = -1/3x - 7/3 are not inverse functions of each other.

In order for two functions to be inverses, the composition of one function with the other should result in the identity function. Since that is not the case here, f(x) and g(x) are not inverses of each other.

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Answer:

p = [27.82] ÷ [3.6]

p = 7.727·

p = 7.728 (3dp)

The answer is B)

Step-by-step explanation:

Answer:

B) 7.7278

Step-by-step explanation:

Answer:

82.2%

Step-by-step explanation:

You gave them $4.11 extra and 4.11 of 5 is 82.2

Answer:

a and c and d

Step-by-step explanation: