Which procedures are examples of Descartes’s rules for scientific reasoning? Check all that apply.
A. keeping a detailed record of the procedure and results of a scientific experiment
B. conducting an experiment to confirm the effects of gravity on Earth
C. accepting all of Descartes’s theories as truth
D. answering a math problem using mental mathematics
E. solving an expression in steps using the order of operations​

Given that the formula is given as z(m/s²) = a x(m³) + b cos (y) Wherea, b, and y are the unknown terms.To determine the units of a, b, and y, we need to check the units of each term present in the equation. The unit of displacement or distance is meters (m).The unit of acceleration is meters per second squared (m/s²).Unit of cos(y) is not there, but we know that cos(y) is a unitless term.Therefore, the given equation can be written askg x m/s² = kg/m x m³ + b x 1There we can see that the unit of the term on the left side of the equation is kg x m/s² which is equal to Newton (N).Therefore, the unit of the term on the right side of the equation is also in Newton (N).Hence,The unit of "a" is N/m³The unit of "b" is NThe unit of "y" is unitless.

z(m/s²) = a x(m³) + b cos (y): https://brainly.com/question/24305408

#SPJ11

So, the percentage of data values represented on a box plot that falls between the lower quartile and the upper quartile is 50%.

In a box plot, the lower quartile (Q1) represents the 25th percentile, and the upper quartile (Q3) represents the 75th percentile. The interquartile range (IQR) is the range between the lower quartile and the upper quartile. To determine the percentage of data values that fall between the lower quartile and the upper quartile, we need to consider the IQR.

The IQR represents the middle 50% of the data. Therefore, the percentage of data values between the lower quartile and the upper quartile is 50%. In other words, half of the data values are within the IQR range, while the remaining 50% are outside this range, including the lower 25% below the lower quartile and the upper 25% above the upper quartile.

To know more about percentage,

https://brainly.com/question/14618268

#SPJ11

We are to use the power reducing formula to rewrite cos⁴x in terms of the first power of cosine.

Here,

we have

cos⁴x

We can rewrite

cos⁴x as cos²x * cos²x

This is so because of the formula

(cos (A + B))(cos (A - B)) = cos²A - sin²BCos² x = (1 + cos 2x)/2 and cos 2x = 2cos²x - 1

Hence,

(cos⁴x) = (cos²x * cos²x) = (cos²x)(1 + cos 2x)/2

Again,

cos 2x = 2cos²x - 1

Therefore

(cos⁴x) = (cos²x * cos²x) = (cos²x)(1 + cos 2x)/2= (cos²x)(1 + 2cos²x - 1)/2= (cos²x)(2cos²x)/2= cos²x(cos²x)

This is in terms of the first power of cosine and is the required answer.

To know more about reducing visit :

https://brainly.com/question/13358963

#SPJ11

Answer:

L = 315 cm2 ; S = 399.9 cm2

Step-by-step explanation:

Lateral area;

3 × (½)(14)(15)

315 cm²

Surface area:

315 + (½)(14)(14)sin(60)

399.8704896 cm²

    Lateral surface area of the regula triangular pyramid is 210 ft²

    Surface area of the regular triangular pyramid is 253.30 ft²

          Lateral surface area = 3(Area of one lateral triangular side)

          Surface area = Area of the triangular base + Lateral surface area

Given in the question,

Lateral surface area = \(3(\frac{1}{2})(\text{Base})(\text{Slant height})\)

                                  = \(\frac{3}{2}(10)(14)\)

                                  = 210 ft²

Area of the regular triangular base = \(\frac{\sqrt{3} }{4}(a)^2\)

                                                          = \(\frac{\sqrt{3} }{4}(10)^2\)

                                                          = 25√3 ft²

                                                          = 43.30 ft²

Therefore, total surface area = 210 + 43.30

                                                 = 253.30 ft²

     Hence, lateral surface area of the regula triangular pyramid is 210 ft²

                   Surface area of the regular triangular pyramid is 253.30 ft²

Learn more aboiut the surface area and lateral surface area here,

https://brainly.com/question/9953537?referrer=searchResults

The absolute value of change in the predicted value of dependent variable Y is 18.

Any variable whose value is influenced by an independent variable is said to be dependent. The thing that is measured or assessed in an experiment or mathematical equation is the dependent variable. The phrase "the outcome variable" is another name for the dependent variable.

Slope = b = -4

Intercept = a = -2.8

So, the equation of the regression line is

y  =  a + bx

y = -2.8 - 4x              ...Equation 1

Now suppose the value of x is changed by adding 4.5

i.e. put x = x + 4.5

So,

y = -2.8 - 4(x + 4.5)

y = -2.8 -4x - 18         ...Equation 2

Comparing 1 and 2 ,

We get the predicted value of dependent variable Y as 18

Therefore The absolute value of change in the predicted value of dependent variable Y is 18

To learn more about dependent variables visit

https://brainly.com/question/1479694

#SPJ4

Answer

to solve the equation for t

You have r= t/m

So you need to rearrange the terms

r= t /m ; t = r*m

you pass the m from dividing to multiplying

t = r * m

The warmest temperature on her hike was when she was at the elevation which had 6°C degree. The Option D.

A warm temperature refers to a moderately high temperature characterized by comparatively high temperature.

Among the temperature given, at the warmest temps on the graph which is 6 degree celcius, the elevation was at 450 meter above sea level based on the graph. Therefore, the Option D is correcr.

Read more about temperature

brainly.com/question/25677592

#SPJ1

Answer:

40% price reduction

Step-by-step explanation:

The tickets were reduced by 40% because 20 is 2/5 or 40% of 50 and that was the amount of the price reduction.

Answer:

%40

Step-by-step explanation:

Here is why:

Because every dollar coutns as 2% of the price so 20 * 2 is 40 and you will get %40!

Any Questions?

Answer:

The solution is:

Step-by-step explanation:

First, we'll calculate the function's average rate of change over [-1,1] as following:

Now, we make f'(x) = 3 and solve for x, as following:

Therefore, we can conlcude that the solution is:

ANSWER

-9/7

EXPLANATION

To find the value of the expression we have to replace x with -1 and y with 9 and solve,

Hence, the value of the expression when x = -1 and y = 9 is -9/7.

Answer:  x= \(\sqrt{x=15i} or \sqrt{x=-5\)

​

Answer:

9

Step-by-step explanation:

If the ramp had a slope of 1, the answer would be 6. However, because it has a slope of 2/3, the ramp travels 3/2 times the amount it would if the slope was 1, and moreover so would the ball. Therefore, by multiplying 2/3 by 3/2, the ball traveled 9 feet. I hope this helps! I would call this subject general geometry.

Answer:

-1

Step-by-step explanation:

they gave you the value to x so all you have to do is plug it in

h(-2) = -2 (-2) - 5

h(-2) = 4 - 5

h(-2) = -1

Substituting the value, x = - 2 into the function, the value of the function h(-2) is - 1

Given the function :

At h(-2) :

h(-2) = - 2(-2) - 5

h(-2) = 4 - 5

h(-2) = - 1

Therefore, the value of h(-2) is - 1

Learn more : https://brainly.com/question/18106342

True. This is because a two-tailed test evaluates both the extreme lower and upper ends of the distribution, allowing for the possibility of a significant difference in either direction.

In a two-tailed test, we can reject the null hypothesis on either side of the hypothesized value of the population parameter.

For similar question on hypothesis.

https://brainly.com/question/15980493

#SPJ11

Answer:

b ≥ - 3

Step-by-step explanation:

Since - 3 is the least value then values of b must be greater than or equal to - 3

Answer:

using the keywords

'b' (as a variable)

atleast, meaning the given value or more (greater than or equal to)

-3 an integer

so we can form the inequality like;

b ≥ -3

Answer:

it is the same as a. 10/4 as b/9. then you cross multiply and you will get b. it is just like a, just with 9 instead of 15 and flipped around

Answer:

-2<b<a+c

Step-by-step explanation:

Hope it helps

Since, the angle 3 measures 84 degrees (2(39) + 6), and angle 2 measures 57 degrees (2(39) + 6 - 27). Therefore, the measure of angle 2 is 57 degrees.

To solve this problem, we can use the fact that angles on a straight line add up to 180 degrees. Let's call the measure of angle 1 "x". Then, we know that the measure of angle 3 is 6 more than twice "x", or 2x + 6. We also know that the measure of angle 2 is 27 less than angle 3, or 2x + 6 - 27. Finally, we can set up an equation using the sum of the angles on the straight line, and solve for "x" to find the measure of angle 2.

Let's call the measure of angle 1 "x". Then, we know that the measure of angle 3 is 6 more than twice "x", or 2x + 6. We also know that the measure of angle 2 is 27 less than angle 3, or 2x + 6 - 27.

Using the fact that the three angles form a straight line, we can write the equation:

angle1 + angle2 + angle3 = 180

Substituting in the values we know, we get:

x + (2x + 6 - 27) + (2x + 6) = 180

Simplifying this equation, we get:

5x - 15 = 180

Adding 15 to both sides, we get:

5x = 195

Dividing both sides by 5, we get:

x = 39

Therefore, the measure of angle 1 is 39 degrees. Using the expressions we found for the other angles, we can find that angle 3 measures 84 degrees (2(39) + 6), and angle 2 measures 57 degrees (2(39) + 6 - 27). Therefore, the measure of angle 2 is 57 degrees.

Learn more about Angle:

brainly.com/question/31818999

#SPJ11

Answer:

6.439

Step-by-step explanation:

I'm pretty sure the 3rd digit after the decimal is the thousandths place

The value of the fractions will be:

1. 4/10 + 2/10 = 6/10

2. 9 /12 + 3/12 = 1

3. 6/10 + 4/10 = 1

4. 2/8 + 3/8 = 5/8

5. 2/7 + 6/7 = 1 1/7

6. 11/9 + 8/9 = 2 1/9

7. 5/13 + 10/13 = 1 2/13

8. 3/5 + 7/10 = 1 3/10

9. 7/8 + 13/16 = 1 11/16

10. 9/30 + 3/5 = 9/10

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

It should be noted that in order to add the numbers it's essential to have a common denominator. For example, 7/8 + 13/16 will be:

= 7/8 + 13/16

= 14/16 + 13/16

= 27/16

= 1 11/16

Learn more about fractions on:

brainly.com/question/78672

#SPJ1

Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.

The Taylor series expansion for tangent function is:

tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...

Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:

Degree 2 Taylor polynomial:

P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2

= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2

= 0 + 16x + 8x^2

Degree 3 Taylor polynomial:

P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3

= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3

= 16x + 8x^2

Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

Learn more about taylor polynomials at https://brainly.com/question/31978863

#SPJ11

\(\frac{11}{13}\) % of a quantity is equal to 0.00846 of the quantity.

A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it.

When a fraction of a whole is expressed as a number between 0 and 100, it is called a percentage. All of something is 100 percent, half of it is 50 percent, and none of it is 0%.

11/ 13 % of a quantity or 0.846 % of a quantity means

0.846 / 100 = 0.00846

To know more about percentage and quantity you may visit the link which is mentioned below:

https://brainly.com/question/20885539

#SPJ13

Angle ABC is greater than angle C, as required. Given triangle ABC with AC greater than AB, and BD drawn such that AD is congruent to AB, we need to prove that angle ABC is greater than angle C.

To begin with, we can draw a diagram to visualize the situation. In the diagram, we see that BD is an altitude of triangle ABC, as well as a median since it divides the base AC into two equal parts. We also see that triangles ABD and ABC are congruent by the side-side-side (SSS) criterion, which means that angle ABD is equal to angle ABC.

Now, we can use this information to prove our statement. Since triangle ABD and triangle ABC are congruent, their corresponding angles are also equal. Therefore, we know that angle ABD is equal to angle ABC.

Next, we observe that angle ABD is a right angle, since BD is an altitude of triangle ABC. This means that angle ABC is the sum of angles ABD and CBD.

Since AD is congruent to AB, we also know that angles ABD and ADB are congruent. Therefore, angle CBD is greater than angle ADB.

Putting all of this together, we can conclude that angle ABC is greater than angle C, as required.

In summary, we have shown that given triangle ABC with AC greater than AB and BD drawn such that AD is congruent to AB, angle ABC is greater than angle C. This is because angles ABD and CBD add up to angle ABC, and angle CBD is greater than angle ADB.

learn more about congruence here: brainly.com/question/27922830

#SPJ11

3 miles and 15,480 feet are not equivalent because they measure different quantities. which is the correct answer would be an option (D).

Now, Multiply the area by the conversion ratio to convert a foot measurement to a square inch measurement.

Because one foot equals 12  inches, you may use the following easy formula to convert:

1 inches =  feet × 12

The correct answer is D) 3 miles, 15,480 feet

because 1 mile =5280 feet

3 mile =3 × 5280 = 15,840

The other pairs of measurements are all equivalent because they measure the same quantity in different units.

For example, 24 feet and 8 yards are equivalent because 24 feet is equal to 8 yards (1 yard =3 feet ; 8 yard= 8 × 3 = 24 feet).

Similarly, 24 inches and 2 feet are equivalent because 24 inches is equal to 2 feet, and 10 feet and 120 inches are equivalent because 10 feet is equal to 120 inches (1 foot = 12 inches; 10 feet=12 × 10=120).

To learn more about the measurement unit here:

brainly.com/question/13880577

#SPJ1

Seraphina's speed has increased by a factor of around 23% compared to the first hour.

What Is a Change in Percentage?

The ratio of the difference in the amount to its starting value multiplied by 100 is known as the percentage change. When a number's final value is determined by increasing or decreasing a percentage of its starting value, the percentage change of that quantity will always change.

How can you determine the percentage to the closest tenth?

Rounding to the closest tenth entails adding one integer after the decimal point. The number in the thousandths place, or the second number from the right of the decimal, must be considered while rounding. If the amount is five or more, we add one percent to the number in the tenth position.

Percent Change Formula = \(\frac{ (Final value -Initial value)}{ (Initial value)}\)× 100

Percent Change               = \(\frac{(74-60)}{60}\)× 100

…                                     = \(\frac{14}{60}\) × 100

...                                     ≈ 0.23333 × 100

Percent Change             ≈ 23.33%

The pace of Seraphina increased by around 23% in the second hour compared to the first.

To know more about percentage change visit:

https://brainly.com/question/14801224

#SPJ1

The function f(x) = (x + 1)² is given, and we need to determine its domain on which it is one-to-one and non-increasing, as well as find its range. Additionally, we need to find the inverse of f restricted to its domain, determine the domain of the inverse function, and find its range.

To find the domain on which f is one-to-one and non-increasing, we need to consider the behavior of the function. The function f(x) = (x + 1)² is a quadratic function with a vertex at (-1, 0) and opens upward. Since it is a one-to-one function, it means that it passes the horizontal line test, and each y-value corresponds to a unique x-value. Therefore, the largest domain on which f is one-to-one and non-increasing is the set of all real numbers, (-∞, ∞).

Next, let's find the range of f. Since the function is a quadratic that opens upward, its minimum value occurs at the vertex (-1, 0), and it increases as x moves away from the vertex. Hence, the range of f is [0, ∞), including zero and all positive real numbers. To find the inverse of f restricted to its domain, we interchange the roles of x and y in equation f(x) = (x + 1)² and solve for y. Let's proceed with the steps:

y = (x + 1)²

Swap x and y:

x = (y + 1)²

Take the square root of both sides:

√x = y + 1

Subtract 1 from both sides:

√x - 1 = y

Therefore, the inverse function of f, restricted to its domain (-∞, ∞), is given by f⁻¹(x) = √x - 1. The domain of f⁻¹ is the set of all non-negative real numbers, [0, ∞) since we took the square root, which requires non-negative values. Lastly, the range of f⁻¹ is the set of all real numbers, (-∞, ∞), because as x varies from 0 to ∞, the square root of x produces values from 0 to ∞, and subtracting 1 does not restrict the range. In summary, the largest domain on which f is one-to-one and non-increasing is (-∞, ∞), the range of f is [0, ∞), the inverse function f⁻¹(x) = √x - 1 has a domain of [0, ∞), and its range is (-∞, ∞).

Learn more about square root here:- brainly.com/question/29286039

#SPJ11

Answer:

49th term = 225

Step-by-step explanation:

The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.

An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.

The general formula, for the nth term of an arithmetic progression, is thus:

Tn = a + (n - 1)d, where a = first term, and d = common difference.

In the sequence: -15, -10, -5, 0, 5...,

a = -15, and d = -10--15 = 5

T49 = -15 + (49 - 1)5 = 225

∴ 49th term = 225