The diameter, D, of a sphere is 18.8m. Calculate the sphere volume, V. Use the value 3.14 for pi

Answer:

b = 3 in

Step-by-step explanation:

The area (A) of a rectangle is

A = lb ( l is the length and b the breadth )

Here A = 24, l = 4 and breadth = b + 3 , thus

4(b + 3) = 24 ( divide both sides by 4 )

b + 3 = 6 ( subtract 3 from both sides )

b = 3

Thus the width of the message is 3 in

Answer:

Scott sent 23 text, Elsa sent 16 and Miguel sent 64 test.

Step-by-step explanation:

Answer:

  0.2π m

Step-by-step explanation:

Assuming your "x" is a multiplication symbol, form the product of the numerical constants.

  = 0.2mπ

If m represents units of meters, it can be placed last:

  = 0.2π m

If you want an approximate value, use an appropriate approximation of π.

  ≈ 0.628319 m

English: There exists an American who does not know exactly two languages.

(a) ∃x (R(x) ∧ G(x)): There exists a restaurant x that serves gator tails.

Negation: ∀x (R(x) → ¬G(x)): Every restaurant x does not serve gator tails.

English: Every restaurant does not serve gator tails.

(b) ¬∃x (P(x) ∧ F(x)): It is not the case that there exists a person x who can fly to the sun.

Negation: ∀x (P(x) → ¬F(x)): Every person x cannot fly to the sun.

English: Every person cannot fly to the sun.

(c) ∃x (R(x) ∧ ¬S(x) ∧ ¬L(x)): There exists a person x who has road rage, does not obey the speed limit, and.

Negation: ∀x (R(x) → (S(x) ∨ L(x))): Every person x either does not have road rage or obeys the speed limit.

English: Every person either does not have road rage or obeys the speed limit.

(d) ¬∃x (P(x) ∧ S(x)): It is not the case that there exists a person x who has seen every Star Wars movie.

Negation: ∀x (P(x) → ¬S(x)): Every person x has not seen every Star Wars movie.

English: Every person has not seen every Star Wars movie.

(e) ∀x (A(x) → E(x)): For every person x, if x is American, then x knows exactly two languages.

Negation: ∃x (A(x) ∧ ¬E(x)): There exists a person x who is American and does not know exactly two languages.

English: There exists an American who does not know exactly two languages.

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Answer:

Simple random sampling

Step-by-step explanation:

The type of sampling used here is simple random sampling(SRS) because SRS is defined as the sampling technique where a group of subjects known as sample are selected for study from a larger group known as population. Thereafter, each individual will be entirely chosen by chance and then each member of the population will have an equal opportunity of being included in the sample.

Thus question given corresponds to this definition.

Answer:

56

Step-by-step explanation:

56 would be the arc. reasoning is because line CG form an arch of 56 and Angle A and C also form a angle of 34

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

As per latent heat, size of 11.61 BTUH is required to complete the whole action.

Let's assume the ice was at 32° F. So, 144 BTU/lb is required as latent heat. To melt ice and make it 32°F water required BTU is:

10 × 144 = 1440 BTU ( m× l = H where m is the mass and l is the latent heat )

To, convert 10°F ice to 32°F ice required heat is,

10×0.5035× ( 32° - 10°) = 110.77 BTU ( H = msΔt, m= mass, s = specific heat of ice, and Δ t = difference in temperature which is, 32° - 10° = 22°)

Now, to convert 32°F water to 212°F water required heat is:

10×1×180 = 1800 BTU ( SPECIFIC HEAT OF WATER IS 1 and Δt = 212-32 = 180°F )

To covert 212°F water to 212°F steam the required heat is,

10 × 970 = 9700

Now, to convert 212°F steam to 400°F steam, the required heat is ;

10 × .47 × 188 = 883.6 BTU ( The specific heat if steam is .47, Δt = 188°F )

Now total heat is, 883.6 BTU +9700 BTU + 1800 BTU + 110.77 BTU + 1440 BTU = 13934 BTU

Required power to convert it within 20 min. or 1200 sec is,

13934/1200 = 11.61 BTUH.

We can now say that, if 10 pounds of ice starts at ten degrees and is changed to steam at 400 degrees in twenty minutes, 11.61 BTUH is required.

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The partial derivatives of \(fx\)= x / (√(x² + y²)) , \(fy\) = y / (√(x² + y²)),

\(fx(4, 1)\)= 4 / (√17) and \(fy(-1, -3)\) =  -3 / (√10).

Let's calculate the partial derivatives of \(f(x, y)\) = √(√(x² + y²)).

To find \(fx\), we differentiate \(f(x, y)\) with respect to x while treating y as a constant. Using the chain rule, we have:

\(fx\) = (∂f/∂x) = (∂/∂x) √(√(x² + y²)).

Using the chain rule, we obtain:

\(fx\) = (∂/∂x) (√(x² + y²))^(1/2).

Applying the power rule, we have:

\(fx\) = (1/2) (√(x² + y²))^(-1/2) (2x).

Simplifying further, we get:

\(fx\) = x / (√(x² + y²)).

Next, let's calculate \(fy\) by differentiating \(f(x, y)\) with respect to y while treating x as a constant.

Using the chain rule, we have:

\(fy\) = (∂f/∂y) = (∂/∂y) √(√(x² + y²)).

Using the chain rule and the power rule, we obtain:

\(fy\) = (1/2) (√(x² + y²))^(-1/2) (2y).

Simplifying, we get:

\(fy\) = y / (√(x² + y²)).

To evaluate \(fx(4, 1)\), we substitute x = 4 into the expression for \(fx\):

\(fx(4, 1)\) = 4 / (√(4² + 1²)) = 4 / (√17).

To evaluate \(fx(4, 1)\) we substitute y = -3 into the expression for \(fy\):

\(fy(-1, -3)\)= -3 / (√((-1)² + (-3)²)) = -3 / (√10).

Therefore, the exact values are \(fx(4, 1)\)= 4 / (√17) and \(fy(-1, -3)\)= -3 / (√10).

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Answer:

210 seconds

Step-by-step explanation:

LCM of 5,6 and 7

Answer: x= 7191.509 ft

Step-by-step explanation:

Sin9/1 = 1125/x

X/1 = 1125/sin9

Answer:

12

Step-by-step explanation:

We know that 8x3=24, so we have to find what would equal 3 in the parenthesis.

12-9=3

The correct equation would be 8 (12-9) =24, or to be very simple, 8x3=24.

So y=12.

4. f(x,y) is homogeneous of degree 2.

5. a) f(x,y) is homothetic with h(x,y) = xy and g(x) = x-1

4. Show that f(x,y)=\(x^2\)y is homogeneous, and find its degree of homogeneity:

A function is said to be homogeneous of degree k, if it satisfies the condition:

f(tx,ty) = \(t^k\)f(x,y)

We have f(x,y) = \(x^2\)y. Let’s check if it satisfies the above condition:

f(tx,ty) = \((tx)^2(ty) = t^3x^2y = t^2(x^2y\)) = \(t^2\)f(x,y)

Hence f(x,y) is homogeneous of degree 2.

5. Which of the following functions f(x,y) are homothetic? Explain.

(a) f(x,y)=\((xy)^2\)+1

(b) f(x,y)=\(x^2+y^3\)

Let us first understand the meaning of homothetic transformation.

A homothetic transformation is a non-rigid transformation of the Euclidean plane that preserves the direction of the straight lines but not their length. It stretches or shrinks the plane by a constant factor called the dilation.

Let’s now find out whether the given functions are homothetic or not.

(a) f(x,y)=\((xy)^2\)+1

In order to check if f(x,y) is homothetic or not, we need to check if the function satisfies the following condition:

f(x,y) = g(h(x,y))

where g is a strictly monotonic function and h is a homogeneous function with degree 1

We have

f(x,y) = \((xy)^2\)+1

Let’s assume g(x) = x - 1, then g(x+1) = x

Similarly, let’s assume h(x,y) = (xy), then h(tx,ty) = \(t^2\)h(x,y)

Now, we have

g(h(x,y)) = h(x,y) - 1 = (xy) - 1

Thus f(x,y) is homothetic with h(x,y) = xy and g(x) = x-1

(b) f(x,y)=\(x^2+y^3\)

We can’t write this function in the form f(x,y) = g(h(x,y)) where h(x,y) is a homogeneous function with degree 1. Hence this function is not homothetic.

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Answer:

Step-by-step explanation:

8(2 + x) = 3x + 16 + 5x

=> 16 + 8x = 3x + 16 + 5x

=> 8x - 3x - 5x = 16 - 16

=> 0x = 0

=> x = 0 (Ans)

Answer:0

Step-by-step explanation:

everything cancels out

The probability that at least three carpool is about 0.678

Let us suppose that a commuter is selected randomly. The probability that a person carpools is given as:P(Carpooling) = 10% = 0.1There are 20 commuters in the sample, and the likelihood that at least three carpool can be calculated using the binomial probability formula.The probability of obtaining x successes in n trials is given as:P(x) = nCx * p^x * q^(n-x)where, n = 20p = probability of success (carpool) = 0.1q = probability of failure (not carpool) = 1 - p = 1 - 0.1 = 0.9We need to find the likelihood of at least three successes, i.e., P(X ≥ 3).P(X ≥ 3) = P(X = 3) + P(X = 4) + .... + P(X = 20)Using a binomial probability table, we can calculate this probability as follows: P(X ≥ 3) = 0.678Answer in more than 100 words:We are given that 10% of all commuters in a particular region carpool. Let us suppose that a commuter is selected randomly. The probability that a person carpools is given as:P(Carpooling) = 10% = 0.1We are asked to find the probability that at least three people carpool in a sample of 20 commuters. This can be calculated using the binomial probability formula.The probability of obtaining x successes in n trials is given as:P(x) = nCx * p^x * q^(n-x)where, n = 20p = probability of success (carpool) = 0.1q = probability of failure (not carpool) = 1 - p = 1 - 0.1 = 0.9We need to find the likelihood of at least three successes, i.e., P(X ≥ 3).P(X ≥ 3) = P(X = 3) + P(X = 4) + .... + P(X = 20)Using a binomial probability table, we can calculate this probability as follows:P(X ≥ 3) = 0.678

Therefore, the probability that at least three carpool is about 0.678.

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The probability that at least three people carpool is given as follows:

P(X >= 3) = 0.3231 = 32.31%.

The mass probability formula is defined by the equation presented as follows:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters, along with their meaning, are presented as follows:

The parameter values for this problem are given as follows:

n = 20, p = 0.1.

Using a binomial distribution calculator, with the above parameters, the probability is given as follows:

P(X >= 3) = 0.3231 = 32.31%.

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Answer:

Step-by-step explanation:

Let's assume the initial number of men at the exhibition is 10x, and the initial number of women is 3x.

After 110 men left, the number of men remaining is 10x - 110.

The total number of people remaining is (10x - 110) + (3x) = 13x - 110.

According to the given information, the number of men remaining (10x - 110) is 5/12 of the total number of people remaining (13x - 110). We can write this as an equation:

10x - 110 = (5/12)(13x - 110)

To solve this equation, we can start by simplifying both sides:

10x - 110 = (65/12)x - (55/6)

To get rid of the fractions, we can multiply both sides of the equation by 12:

12(10x - 110) = 65x - 110(2)

120x - 1320 = 65x - 220

Next, we can bring the x terms to one side and the constant terms to the other side:

120x - 65x = 1320 - 220

55x = 1100

Dividing both sides by 55, we find:

x = 20

Now, we can substitute the value of x back into the initial expressions to find the number of men and women:

Number of men = 10x = 10(20) = 200

Number of women = 3x = 3(20) = 60

Therefore, there were 60 women at the exhibition

Hope this answer your question

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Answer:

0.84306608

Step-by-step explanation:

The probability of an event, e, occurring exactly r times over n trials follows the formula

(n combination r) * p^r * q ^ (n-r)

with p being the probability the event will occur and q being the probability the event will not occur.

I assume you have a calculator/can find one online that can do combinations.

Here, we want to figure out if you get:

- 0 tails

- 1 tail

- 2 tails

If you get 3 or 4 tails, we are getting more than the 2 tails desired

For 0 tails:

- p is the probability a tail will occur = 0.38

- we want it to occur 0 times, so r = 0

- q is (1-p) = 1- 0.38 = 0.62

- we have 4 trials, as we flip it 4 times

(n combination r) * p^r * q ^ (n-r) = (4 combination 0) * (0.38) ^0 * (0.62) ^(4-0) = 1 * (0.38) ^0 * (0.62) ^(4-0) = 0.14776336

For 1 tail:

- p = 0.38, q = 0.62 as with 0 tails

- r = 1, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 1) * (0.38) ^1 * (0.62) ^(4-1) = 4* (0.38) ^1 * (0.62) ^(4-1) = 0.36225856

For 2 tails:

- p = 0.38, q = 0.62 as with 0 tails

- r = 2, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 2) * (0.38) ^1 * (0.62) ^(4-2) = 6* (0.38) ^2 * (0.62) ^(4-2) = 0.33304416

add our 3 probabilities together

0.33304416 + 0.36225856 + 0.14776336 = 0.84306608 as our answer

These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth

The aspect of Earth's orbital relationship to the Sun that varies with a periodicity of both 400 Ka and 100 Ka is the eccentricity of Earth's orbit. The eccentricity refers to the shape of Earth's orbit around the Sun, which is not a perfect circle, but an ellipse. The eccentricity of Earth's orbit changes over time due to gravitational interactions with other planets, particularly Jupiter and Saturn. When Earth's orbit is more elliptical, its distance from the Sun varies more throughout the year, leading to variations in climate and the amount of solar radiation received on Earth's surface. The periodicity of 400 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the amount of solar radiation received at different latitudes and the distribution of ice ages. The periodicity of 100 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the intensity of the seasons and the distribution of glacial periods. These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth.

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Equations

Let's call:

x = time Stanley swam yesterday.

We know he ran for half an hour longer than he swam, thus the time he ran was:

x + 0.5 = time Stanley ran yesterday

We also know he biked for twice the time he ran, thus:

2(x + 0.5) = time Stanley biked yesterday.

The distance covered by Stanley when swimming is

2.5*x

The distance covered by Stanley when running is:

9*(x+0.5)

The distance covered by Stanley while biking is:

16*2*(x + 0.5) = 32(x + 0.5)

The total distance is 64 miles, thus:

2.5*x + 9*(x+0.5) + 32(x + 0.5) = 64

Operating:

2.5x + 9x + 4.5 + 32x + 16 = 64

Simplifying:

43.5x + 20.5 = 64

Subtracting 20.5:

43.5x = 43.5

Thus:

x = 1

Stanley swam for 1 hour, he ran for 1+0.5 = 1.5 hours and biked for 2*1.5=3 hours

Swam: 1 hour, Ran: 1.5 hours, Biked: 3 hours

Based on the information given, a reasonable conclusion is: Sam needs to read approximately 18 pages per day to complete the 265-page book within 15 days and achieve his points for his reading class.

Assuming Sam needs to read the entire book to achieve his points and that he will have equal amounts of time to read each day, a reasonable conclusion is that Sam needs to read approximately 18 pages per day to finish the book in time for the points deadline. By doing so, Sam will be able to read a 265 page book to achieve his points for his reading class

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Answer:The correct answer is B.

Step-by-step explanation:

Answer:

b(c + 2)bd.

Step-by-step explanation:

Examine the terminology used in the verbal description to correctly match it to the expression.

"The product of b and a factor dependent on b" implies that two things are being multiplied due to the use of the term product. The first factor in the description is b and the second factor is a factor depending on b. Since the second factor depends on b, this factor must include an operation that utilizes b.

Consider the expression below.

In this expression, the factor (c + 2)bd is being multiplied by b. Since (c + 2)bd also involves an operation that utilizes b, this is a factor dependent on b.

Therefore, the expression that represents the given statement is b(c + 2)bd.

Answer:

M=-10/4

M=-5/2

-5/4+m=-15/4

Step-by-step explanation:

Original equation:

3/4+m=-7/4

=-5/2

the other answers mentioned above is also -5/2

Hope that helps!

Answer:

x = \(\frac{c+d}{a-b}\)

Step-by-step explanation:

Given

ax - c = bx + d ( collect the terms in x together )

Subtract bx from both sides

ax - bx - c = d ( add c to both sides )

ax - bx = c + d ← factor out x from each term on the left side

x(a - b) = c + d ← divide both sides by (a - b )

x = \(\frac{c+d}{a-b}\)

Answer:

 x= c+d/a+e

Step-by-step explanation:

The equation 4x^2 - 30 = 34 can be solved to find the values of x. In this case, there are two solutions: x = -2 and x = 2.

To solve the equation 4x^2 - 30 = 34, we need to isolate the variable x.

First, we bring the constant terms to one side of the equation:

4x^2 - 30 - 34 = 0

Simplifying, we have:

4x^2 - 64 = 0

Next, we factor out the common factor:

4(x^2 - 16) = 0

Now, we can solve for x by setting each factor equal to zero:

x^2 - 16 = 0

Using the difference of squares formula, we can factor the equation further:

(x - 4)(x + 4) = 0

Setting each factor equal to zero, we have two equations:

x - 4 = 0 or x + 4 = 0

Solving for x in each equation, we find:

x = 4 or x = -4

Therefore, the solutions to the equation 4x^2 - 30 = 34 are x = -4 and x = 4.

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A square could be called a rectangle since it has four right angles.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°. Observe the rectangle given below to see its shape, sides and angles.

So,  Every square is a rectangle because it is a quadrilateral with all four angles right angles.

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Answer:

π (pi) = 3.14

c = 2πr

Step-by-step explanation:

The value of pi is 3.14. It relates to the circumference and the diameter because inorder to solve for the circumferences you need pi. Which is in the formula.

The LHS and the RHS of the given expression do not match 240.469= -215 and so the given expression is FALSE.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values.

We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra.

Here, we refer to these letters as variables.

So, we have the expression:

(−18−−−√3)3+334=(−183)3 + 334

Now, check it as follows:

(−18√3)3+334=(−183)3 + 334

-93.531+334=-549+334

240.469= -215

Ans: FALSE

Therefore, the LHS and the RHS of the given expression do not match 240.469= -215 and so the given expression is FALSE.

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Correct question:

Evaluate the expression: (−18−−−√3)3+334=(−183)3 + 334=?

Answer:

Step-by-step explanation:

You can use sen30° to solve it:

Since Sen=Opposite side / diagonal

Sen30° = OS/D

1 / 2 = x / \(2\sqrt{3}\)  

2x = \(2\sqrt{3}\)  

x = \(\sqrt{3}\)