Find the surface area of a sphere. Use 3.14 for pi and round to the nearest tenth.

R=6.25

Rieman sums are used to calculate the approximate value of the area under the curve of real functions.

A left Riemann sum uses rectangles whose top-left vertices are on the curve while the right Riemann sum uses rectangles whose top-right vertices are on the curve.

The width of each rectangle is given by:

Where a and b are the endpoints of the interval and n is the number of rectangles.

We are given the function:

y = ln x on the interval [2, 9]

And it's required to use n = 3 rectangles, thus:

For the left Riemann sum, we need to calculate the values of y for:

x = 2

x = 2 + w = 4.333

x = 2 + 2w = 6.667

f(2) = ln 2 = 0.6931

f(4.333) = 1.4662

f(6.667) = 1.8972

The area of the rectangles is the height by the base:

A = 0.6931 x 2.333 + 1.4662 x 2.333 + 1.8972 x 2.333

A = 9.4640

For the right Rieman sum, we need to calculate the values of y for:

x = 2 + w = 4.333

x = 2 + 2w = 6.667

x = 2 + 3w = 9

f(4.333) = 1.4662

f(6.667) = 1.8972

f(9)= 2.1972

Calculate the area of the rectangles:

A = 1.4662 x 2.333 + 1.8972 x 2.333 + 2.1972 x 2.333

A = 12.973

Note: The real value for the area (using integration) is 11.39

Irrational numbers are a subset of real numbers:

Therefore, the statement which is always true is:

All irrational numbers are real numbers.

Answer:

11 units

Step-by-step explanation:

Length of side PS can be calculated using the distance formula, \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Where,

\( P(-2, 5) = (x_1, y_1) \) (the coordinate of P is gotten from the graph)

\( S(9, 5) = (x_2, y_2) \) (given)

\( PS = \sqrt{(9 - (-2))^2 + (5 - 5)^2} \)

\( PS = \sqrt{(11)^2 + (0)^2} \)

\( PS = \sqrt{121} = 11 units \)

Therefore, the eigenvalue of matrix A is λ = 1.64615.

To find the eigenvalues of matrix A = [1 -6; 12 -7], we need to solve the characteristic equation det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix.

Let's calculate the determinant of A - λI:

A - λI = [1 - 6; 12 - 7] - λ[1 0; 0 1]

= [1 - λ -6; 12 - λ -7]

Now, calculate the determinant:

det(A - λI) = (1 - λ)(-7 - (-6*12)) - (-6)(-7)

= (1 - λ)(-7 + 72) + 42

= (1 - λ)(65) + 42

= 65 - 65λ + 42

= 107 - 65λ

Setting the determinant equal to zero and solving for λ:

107 - 65λ = 0

-65λ = -107

λ = -107 / -65

λ = 1.64615

To know more about eigenvalues,

https://brainly.com/question/31503742

#SPJ11

Answer:

2 Pas

Step-by-step explanation:

pressure = force/area

p= 30N/2m²

p=15pas

Answer:

Pressure = 15 N/m²  =  15 Pa

Step-by-step explanation:

\(Pressure = \frac{Force \space\ \space\ applied}{Area}\)

\(Pressure= \frac{30}{2} \\\\Pressure = 15 \space\ N/m^2\)

Answer:

The answer is

\(y = - 3x + 1\)

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

\(y = mx + b\)

❃Incase you also forgot, The is what the slope formula is ☟

\(m = \frac{y_2 - y_1 }{x_2 - x_1} \)

➊ First: We are going to be solving for the slope.

\(m = \frac{ - 8 - 1}{3 - 0} = \frac{ - 9}{ \: \: \: 3} = - 3\)

➋Second: We find the y-intercept.

\(y = mx + b \\ - 8 = - 3(3) + b \\ - 8 = - 9 + b \\ \frac{ + 9 = + 9 \: \: \: \: \: }{1 = b} \)

➌Third: Plug in.

\(y = - 3x + 1\)

Answer:

6x+6

Step-by-step explanation:

Combine like terms:

x + 5x +6

6x+6

Answer:

$25

Step-by-step explanation:

Let the original cost of the shirt be x, therefore the sale price would be the original minus the 20% of the original price x - 0.20x = $20. Solve for x: 0.8x = 20 --> x=$25

Answer:

yes

Step-by-step explanation:

If 2 lines are perpendicular then the product of their slopes = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x - 4 ← is in slope- intercept form

with slope m = - 1

5x - 5y = 20 ( subtract 5x from both sides )

- 5y = - 5x + 20 ( divide all terms by - 5 )

y = x - 4 ← in slope- intercept form

with slope m = 1

Thus product of their slopes is - 1 × 1 = - 1

Therefore the lines are perpendicular

The equivalent expression of (−92j − 82k) − (−3.9j − 42.1k) in standard form is −88.1j − 39.9k.

To find the equivalent expression of (−92j − 82k) − (−3.9j − 42.1k) in standard form, we need to simplify the expression by combining like terms.

Expanding the parentheses, we have:

−92j − 82k + 3.9j + 42.1k

Now, let's group the like terms:

(−92j + 3.9j) + (−82k + 42.1k)

Simplifying each group of terms, we get:

−88.1j − 39.9k

In standard form, expressions are typically written with the constant term first, followed by the terms with variables in alphabetical order. In this case, we have no constant term, so the expression remains as −88.1j − 39.9k.

for more such questions on standard form

https://brainly.com/question/19169731

#SPJ8

The eye color of people on commercial aircraft flights is not a random variable.

What is random variable?

Random variables are variables that can take on different values based on the outcome of a random event or experiment.

However, eye color is a characteristic of individuals and does not vary randomly within a specific context, such as being on a commercial aircraft flight. Eye color is determined by genetic factors and does not change during a flight or as a result of being on a flight.

Eye color is a categorical variable that represents the color of an individual's eyes, such as blue, green, brown, or hazel. While it is not a random variable in the context of commercial aircraft flights, it can still be observed and recorded as a characteristic of the passengers on the flight.

Learn more about random variable here:

https://brainly.com/question/16730693

#SPJ4

Answer:

0.167π

Step-by-step explanation:

r = 0.5

\(Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 0.5^{3} = 0.167\pi\)

The height and radius that will minimize the surface area for a cylindrical can with a volume of 2000 cm³ are

approximately 16.40 cm and 6.20 cm, respectively.

We will use the given volume and surface area equations:

V = πr²h

SA = 2πr² + 2πrh

Solve the volume equation for height:

h = V / (πr²) = 2000 / (πr²)

Substitute h in the surface area equation:

SA = 2πr² + 2πr(2000 / (πr²)) = 2πr² + 4000 / r

Find the derivative of SA with respect to r:

d(SA)/dr = 4πr - 4000 / r²

Set the derivative equal to zero and solve for r:
4πr - 4000 / r² = 0
4πr = 4000 / r²
r³ = 4000 / (4π)
r³ = 1000 / π
r =\((1000 / π)^(1/3)\)

Approximate the value of r:

r ≈ 6.20 cm (rounded to 2 decimal places)

Find the height using the value of r:

h = 2000 / (π(6.20)²) ≈ 2000 / (π(38.44)) ≈ 16.40 cm (rounded to 2 decimal places)

for such more question on  height and radius

https://brainly.com/question/27987869

#SPJ11

Answer:

1, 1, \(\sqrt{2}\)

Step-by-step explanation:

using pythagorean theorem:

1² + 1² = \(\sqrt{2}\)²

1 + 1 = 2

2 = 2

Answer:

I think it's 35.8

Step-by-step explanation:

ohxdotcoobtx

37.40 is  large a sample should you take in confidence interval.

What does confidence interval mean?

For the 95% confident interval of population mean , the margin of error (ME)

       ME = Z 1 - 0.05/2 5/√n

           2 = 1.96 * 6.24/√n

          n = ( 1.94 * 6.24/2)²

           n = 37.40

the required sample size (n) is 38 .

Learn more about confidence interval

brainly.com/question/24131141

#SPJ2

Answer:

4n + 6p + 3

Step-by-step explanation:

3n + 6p + 3+n​

In this equation, 3n + n are like terms. Adding 3n + n together gives 4n

4n + 6p + 3

Answer:

Carina made an error in the beginning.

Step-by-step explanation:

Carina didn't do the inverse operation of adding 3.40. She added it to the 5.27 when she shouldve subtracted it. x=2.2 lbs. Hope this helps!

Anwser ( C )

C: Carina should have divided 8.67 by 0.85.

Took the test. Hope this helps

Step-by-step explanation:

2:34 so 2 hours and 34 minutes

Answer:

1.2 * 10^-5 or 0.000012

Step-by-step explanation:

Use commutative property to reorder the terms

Multiply the terms

Multiply the terms with the same base by adding their exponents

Calculate the sum

Write the number in scientific notation

1.2 * 10^-5 or 0.000012

Answer:

1887.6 ft³

Step-by-step explanation:

What is the volume of a cylinder with a height of 6.8 ft and a base with a radius of 9.4 ft, to the nearest tenth of a cubic foot?

The formula for the volume of a cylinder is given as:

πr²h

From the above question,

r = 9.4 ft

h = 6.8 ft

The volume of the cylinder =

π × 9.4² × 6.8

= 1887.61966 ft³

Approximately = 1887.6 ft³

Answer:

Yes, the scale factor is 4.

Step-by-step explanation:

If you times the length, 3, and the width, 5, by 4, you'll get 12 as your length and 20 as your width.

the Greatest Common Divisor is 252 and it can be expressed as the linear combination -2 * 6,066 + 3 * 2,286.

The greatest common divisor (GCD) is the biggest positive integer that divides two or more integers without leaving a remainder. It's also referred to as the greatest common factor (GCF) or the highest common factor (HCF). The Euclidean procedure, which continually divides the greater of the two integers by the smaller until a remainder of zero is obtained, is one way to calculate the GCD. The GCD is a crucial idea in mathematics, notably in number theory, and it has several applications in other disciplines, such as computer science and encryption. Finding the greatest common divisor of the coefficients of a linear equation in two variables is another popular geometry task.

How to solve?

The Greatest Common Divisor of 6,066 and 2,286 can be expressed as 252 = 6,066 * (-2) + 2,286 * 3. So, the GCD is 252 and it can be expressed as the linear combination -2 * 6,066 + 3 * 2,286.

To learn more about GCD, visit:

https://brainly.com/question/27227228

#SPJ4

The equivalent expression of  192 + 296 + v + w are A, B, C and D.

The commutative property states that the change in the order of two numbers in an addition or multiplication operation does not change the sum or the product.

Therefore, let's find the equivalent of the expression 192 + v + 296 + w using the commutative property as follows:

Therefore, using the commutative property, changing the orders of two numbers does change the sum of the expression.

Hence,

192 + v + 296 + w  can be expressed commutatively as 192 + 296 + v + w,  v + 192 + 296 + w, 192 + v + w + 296 and  192 + v + 296 + w.

learn more on commutative property here:https://brainly.com/question/24449988

#SPJ1

Step 1. Find the center

Step two

Graph a circle

Remember the radius is 3.5 units in order to know that, we need to have a point of 3.5 units of the center to the left, to the right, up and down and then we can obtain the graph of the circle

Answer:

y = 2x - 3

Step-by-step explanation:

Calculate the gradient of AB.

m = (y2 - y1) / (x2 - x1)

m = (25 - 15) / (9 - 4)

m = 2

The line parallel to AB will have the same gradient.

Use the equation y - y1 = m * (x - x1) and consider the gradient and point C through which the parallel line passes. This is to find the equation of the line parallel to AB in gradient-intercept form y = mx + c.

y + 15 = 2 * (x + 6)

y + 15 = 2x + 12

y - 2x = 12 - 15

y - 2x = -3

y = 2x - 3

Solution

Given that:

d = 15.7p + 2.0.

The statement means;

The model predicts that for each additional 2 people at a table, the total bill increases by $15.70.

Problem Solving and Data Analysis, Heart of Algebra, and Passport to Advanced Mathematics are three additional topics in math that are part of the SAT Math section. These topics cover various concepts and skills that are essential for solving complex mathematical problems and analyzing data effectively.

Problem Solving and Data Analysis: This topic focuses on the ability to interpret and analyze real-world scenarios, solve problems using quantitative reasoning, and apply mathematical models to data. It includes concepts such as ratios, proportions, percentages, statistics, data interpretation, and data representation.

Heart of Algebra: This topic emphasizes algebraic concepts and skills, particularly those related to linear equations, linear inequalities, and systems of linear equations. It involves understanding and solving equations, manipulating algebraic expressions, graphing linear functions, and solving word problems using algebraic methods.

Passport to Advanced Mathematics: This topic builds upon the foundational algebraic skills and extends into more advanced mathematical concepts. It covers topics such as quadratic equations, exponential and logarithmic functions, radicals and rational exponents, polynomial operations, and complex numbers. It also involves solving higher-order equations, understanding function transformations, and applying algebraic concepts in various contexts.

These topics are important for SAT Math because they assess a student's ability to apply mathematical knowledge and problem-solving strategies to real-world situations. Familiarity with these topics enables students to analyze data, reason quantitatively, solve complex algebraic problems, and make connections between different mathematical concepts.

In conclusion, Problem Solving and Data Analysis, Heart of Algebra, and Passport to Advanced Mathematics are key topics in the SAT Math section. Mastering these topics is essential for achieving a high score on the SAT and for developing strong problem-solving and data analysis skills in mathematics.

To know more about Mathematics, visit

https://brainly.com/question/15209879

#SPJ11

Answer:

70%

Step-by-step explanation:

since 7/10 is 0.7 as a decimal

you can then turn it into a percent by moving the decimal point two spots to the right

70 --> 70%

another way to do it is, to add zeros on both the numerator and denominator

then it is valued at 70/100

a percent is a number over 100

70 ---> 70%

your answer is 70%

hope this helps

Answer:

So Y, which represents height, goes down depending on how far you are in time, which is X.

The slope of the graph represents the elevator's descent speed, calculated as 12 feet per second based on the points (1, 838) and (2, 826).

The Slope of the line in the graph represents the rate of change of height with respect to time, or the speed of the elevator's descent.

In this case, the slope can be calculated using the formula: slope = (change in height) / (change in time). We know that the elevator's height changes from 838 feet at 1 second to 826 feet at 2 seconds,

So, the change in height is : 838 - 826 = 12 feet, and the change in time is 2 - 1 = 1 second.

Therefore, the slope is 12 feet/second, this indicates that the elevator is descending at a speed of 12 feet per second.

Learn more about Slope here

https://brainly.com/question/25283029

#SPJ3