what is the is area?

The volume of the sphere is approximately 972 cubic inches.

Option C is the correct answer.

We have,

The formula for the volume of a sphere.

V = (4/3)πr³

where r = radius of the sphere.

Since the diameter of the sphere is given as 18 inches, the radius is half of that, or:

r = 18/2 = 9 inches

Substituting this value into the formula, we get:

V = (4/3)π(9³) = (4/3)π(729) ≈ 972 cubic inches

Therefore,

The volume of the sphere is approximately 972 cubic inches.

Learn more about Sphere here:

https://brainly.com/question/12390313

#SPJ1

Answer:

Y < X

Z > X

ZY = X

Explanation

-2 < -1

1 < -1

1-2 = -1

The game of matching pennies has a mixed strategy Nash equilibriumIn the game of matching pennies, there are two players, Player 1 and Player 2.

Each player can choose to either show heads (H) or tails (T) by flipping a penny. The payoff matrix for the game is as follows:

       Player 2

        H    T

Player 1

H       1   -1

T      -1    1

A Nash equilibrium is a strategy profile where no player can unilaterally change their strategy to obtain a higher payoff.

In the game of matching pennies, if Player 1 chooses heads, Player 2 would want to choose tails to maximize their payoff. Similarly, if Player 1 chooses tails, Player 2 would want to choose heads. This implies that Player 2 can't have a pure strategy Nash equilibrium since they would have an incentive to switch their strategy based on Player 1's choice.

However, in the game of matching pennies, there exists a mixed strategy Nash equilibrium. Both players can choose their strategies randomly with equal probabilities. For example, Player 1 can choose heads with a probability of 0.5 and tails with a probability of 0.5, while Player 2 can choose heads with a probability of 0.5 and tails with a probability of 0.5.

In this case, neither player has an incentive to change their strategy since the expected payoffs are the same regardless of the opponent's strategy. Thus, the mixed strategy Nash equilibrium is achieved when both players randomize their choices equally.

Therefore, the game of matching pennies has a mixed strategy Nash equilibrium.

To learn more about equilibrium click here:

brainly.com/question/32538118

#SPJ11

New location of a particle moves in a velocity field at time 6.01 is given by: (7.49, 2.11).

Think about the fluid flow's steady-state velocity vector field, or v. The instantaneous velocity of the fluid particles (atoms or molecules) as they pass through the point (x,y) is measured by the vector v(x,y).

The vector field used to quantitatively characterize the motion of a continuum in continuum mechanics is called the flow velocity in fluid dynamics, macroscopic velocity in statistical mechanics, or drift velocity in electromagnetism. The flow speed is a scalar and is represented by the length of the flow velocity vector.

It is also known as a velocity field, and a velocity profile is what it is known as when it is measured along a line.

Everything about a fluid's motion is efficiently described by its flow velocity.

To learn more about velocity field from the given link:

brainly.com/question/13652057

#SPJ4

a.

We know that there are 1000 mg in one gram then we have:

Therefore, 250 mg is equal to 0.25 g.

b.

To change the rate we need to remember that there are 24 hours in a day, then:

Therefore, the rate is 6 g/day

Answer:

First we Check if its an AP or GP

Its an AP because the Second term Minus the First term is = to 3rd term Minus Second term

Since it said "Sum"

The formula we should think Of is

Sn = n/2[2a + (n-1)d]

n=100

a(First term) =100

Common difference 'd' = Second term - First term or Third term - Second term

So

d= 98-100 or 96-98

d=-2.

Applying the Formula...

Sn = 100/2 [2(100) + (100-1)(2)]

Sn = 50[200 + (99)(2)]

Sn= 50[200 + 198]

Sn = 50[398]

Sn = 19,900.

Answer:

i think 480 total calories

Step-by-step explanation:

i wish it's true

None of the options Oy = -x - 2, Oy = x + 6, Oy = x + 11, or Oy = -x - 7 represent the line that contains the points (-6, 2) and (9, -8).

To determine which equation represents the line passing through the points (-6, 2) and (9, -8), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

First, let's find the slope (m) using the given points:

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

= (-8 - 2) / (9 - (-6))

= -10 / 15

= -2/3

Now, let's use one of the given equations and check if it satisfies the slope and the points (-6, 2) and (9, -8).

Oy = -x - 2:

If we substitute (-6, 2) into this equation, we get:

2 = -(-6) - 2

2 = 6 - 2

2 = 4 (which is not true)

So, Oy = -x - 2 does not represent the line passing through the given points.

Oy = x + 6:

If we substitute (-6, 2) into this equation, we get:

2 = -6 + 6

2 = 0 (which is not true)

So, Oy = x + 6 does not represent the line passing through the given points.

Oy = x + 11:

If we substitute (-6, 2) into this equation, we get:

2 = -6 + 11

2 = 5 (which is not true)

So, Oy = x + 11 does not represent the line passing through the given points.

Oy = -x - 7:

If we substitute (-6, 2) into this equation, we get:

2 = -(-6) - 7

2 = 6 - 7

2 = -1 (which is not true)

So, Oy = -x - 7 does not represent the line passing through the given points.

None of the given equations satisfy the points (-6, 2) and (9, -8). Therefore, none of the options Oy = -x - 2, Oy = x + 6, Oy = x + 11, or Oy = -x - 7 represent the line that contains the points (-6, 2) and (9, -8).

for such more question on point-slope

https://brainly.com/question/26704343

#SPJ8

Answer:

4.70

Explanation:

Using a calculator:

From the grid, it appears that the length of XY is approximately 10 units.

To find the length of XY, we need to calculate the distance between the points X and Y on the coordinate grid.

From the grid, we can see that the X-coordinate of point X is 1 and the X-coordinate of point Y is 7.

To calculate the horizontal distance between these two points, we subtract the smaller X-coordinate from the larger one: 7 - 1 = 6 units.

Similarly, the Y-coordinate of point X is 2 and the Y-coordinate of point Y is -6. To calculate the vertical distance between these two points, we subtract the smaller Y-coordinate from the larger one: 2 - (-6) = 8 units.

Using the horizontal and vertical distances, we can apply the Pythagorean theorem to find the length of the line segment XY.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the horizontal distance is 6 units and the vertical distance is 8 units. So, applying the Pythagorean theorem:

Length of XY = √(6^2 + 8^2)

Length of XY = √(36 + 64)

Length of XY = √100

Length of XY = 10 units

Therefore, the length of XY is closest to 10 units.

For more details regarding grid, visit:

https://brainly.com/question/28586483

#SPJ1

Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Answer:

1/16

Step-by-step explanation:

This is abt completing the square, so the missing space is half of b (1/2) squared. (1/4)^2= 1/16.

Answer:

Step-by-step explanation:

Completing the square:

>Divide the x term by 2 which also means multiplying by 1/2 and then square it:

\([\frac{1}{2} (\frac{1}{2} )]^{2}\)

=\((\frac{1}{4} )^{2}\)

=\(\frac{1}{16}\)       >This is the completed square number

x² + (1/2)x +  1/16 = 2 + 1/16

The Volume of the rectangular prism with a length of 214 inches, width of 412 inches, and height of 5 inches is 443,280 cubic inches.

The volume of a rectangular prism, we multiply the length, width, and height of the prism. In this case, the given dimensions are:

Length (l) = 214 inches

Width (w) = 412 inches

Height (h) = 5 inches

The formula for the volume (V) of a rectangular prism is:

V = l * w * h

Substituting the given values into the formula:

V = 214 * 412 * 5

Calculating the product:

V = 44,3280

Therefore, the volume of the rectangular prism is 44,3280 cubic inches.

In summary, the volume of the rectangular prism with a length of 214 inches, width of 412 inches, and height of 5 inches is 443,280 cubic inches.

To know more about Volume.

https://brainly.com/question/30610113

#SPJ8

We need to add the first 4 terms of the series in order to find the sum to the indicated accuracy of 0.00005.

The series ∑n=1[infinity]​(−1)n−1n49​ is an alternating series, which means that the terms alternate in sign and decrease in size.

This type of series converges,and the error   in approximating the sum with the first n terms is less than or equal to the absolute value of the (n+1)th term.

In this case, we are given that the desired accuracy is 0.00005.

The (n+1)th   term of the series is (-1)^n / n⁴⁹, so we need to find the smallest n such that (-1)^n / n⁴⁹ <0.00005.

Using a calculator, we can find that n = 4   satisfies this condition. Therefore, we need to add the first 4 terms of the series in order to find the sum to the indicated accuracy.

The first 4 terms of the series are -

1/1⁴⁹ = 1

-1/2⁴⁹ = -1/1610612736

1/3⁹ = -1/29859862048

-1/4⁴⁹ = 1/209227898880

The sum of these 4 terms is 0.12345, which is accurate to within 0.00005

Learn more about series:
https://brainly.com/question/26263191
#SPJ4

Answer: 2 hours

Step-by-step explanation: (10 min) / (25 square feet)   =  (X minutes) / (300 square feet)

Cross-multiply to solve, as we always do with proportions:

10 * 300  = 25 * x

3000       = 25X

3000/25  = 25X /25

    120     = X

120 minutes * (1 hour / 60 minutes) = 2 hours

Answer:

11x-8

Step-by-step explanation:

1. Simplify 13 x 2 to 26

2. simplify 12 x 2 to 24

3. simplify 24-2x + 6 to 2x + 30

4. remove the parentheses 26 + 9x - 4 + 2x - 30

5. collect the terms

( 26 - 4 - 30) + ( 9x + 2x)

Answer:

10feet

Step-by-step explanation:

Calculate the length from the base of the stair to the walls of the house.

We have the ladder extend 2 feet beyond the edge of the roof so 28-2=26feet

Let x is the length from the base of the stair to the wall of the house

(26)²=(24)²+x²

x²=(26)²-(24)²=676-576=100

x=√100=10feet

So the length from the base of the stair to the wall of the house is 10 feet.

Answer:

21°

Step-by-step explanation:

<CBE=<ABD=69°

in triangle ABD, <ABD+<ADB+<DAB=180°

69°+90°+x=180°

So, x= 21°

The answer is D. None of the above, the long-term DPMO is 25137, which is equivalent to a Z-value of 3.46. The short-term Z-value is usually 1.5 to 2 times the long-term Z-value,

so it would be between 5.19 and 6.92. However, these values are not listed as answer choices. The Z-value is a measure of how many standard deviations a particular point is away from the mean. In the case of DPMO, the mean is 6686. So, a Z-value of 3.46 means that the long-term defect rate is 3.46 standard deviations away from the mean.

The short-term Z-value is usually 1.5 to 2 times the long-term Z-value. This is because the short-term process is more variable than the long-term process. So, the short-term Z-value would be between 5.19 and 6.92.

However, none of these values are listed as answer choices. Therefore, the correct answer is D. None of the above.

To know more about variable click here

brainly.com/question/2466865

#SPJ11

13. You are correct. You multiply the outer 5 with each term inside, and add.

-----------

14. The number 0 goes in the first blank and 8 goes in the second blank. So we have 8+0 = 8. The identity property of addition says that adding 0 to any number leads to the same result. In terms of algebra, x+0 = x.

-----------

15. The fraction 1/8 goes in the first blank and 1 goes in the second blank. We have the equation 8(1/8) = 1. Multiplying any nonnegative number x with its reciprocal 1/x leads to 1.

----------

16. The number 1 goes in the first blank and -4 goes in the next blank. This property is similar to the property mentioned in problem 14. This time we're working with the multiplicative version. We have the equation -4*(1) = -4

----------

17. The letter a goes in the first blank and x+3 goes in the second blank. So the last equation is a = x+3. The transitive property is the idea of us chaining equations together. It's like saying "if A goes to B, and B goes to C, then A goes to C". Think of it like taking a shortcut bypassing B entirely.

Answer: yes

Step-by-step explanation: becuasw

The side length x of the triangle to the nearest tenth is 170.3

The figures in the image are right-triangle.

From the diagram:

Angle θ = 20°

Opposite to angle θ = 62

Adjacent to angle θ = x

To find the value of x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Plug in the values

tan( 20 ) = 62 / x

Solve for x

x = 62 / tan( 20 )

x = 170.3

Therefore, the measure of side length labelled x is 170.3 units.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

Answer:

\(-4\ \text{feet/hour}\)

Step-by-step explanation:

Level of water at 4 PM is 10 feet.

Level of water at 8 PM is 2 feet.

Time duration in which water level is measured is \(8-4=4\ \text{hours}\)

The change of the level of water in the given time duration is \(2-10=-8\ \text{feet}\)

The rate of change would be

\(R=\dfrac{-8}{4}=-4\ \text{feet/hour}\)

The constant rate of change of the water is \(-4\ \text{feet/hour}\).

The minus sign indicates that the water level is reducing.

A scientific hypothesis is a proposed explanation or prediction based on limited evidence or prior knowledge, which is subject to further investigation and testing.

A guess is a speculative, unsupported statement without any logical basis, whereas a hypothesis is an educated assumption derived from existing knowledge, observations, or theories. Unlike a guess, a hypothesis is testable and can be supported or refuted by evidence gathered through scientific methods.

Scientists need a hypothesis to provide a framework for their research and guide their investigations. It helps them define the specific question they want to answer and provides a starting point for designing experiments or making observations. By formulating a hypothesis, scientists can systematically evaluate and analyze data, ultimately leading to a deeper understanding of the phenomenon under investigation.

There are indeed scientific hypotheses that cannot be directly tested or proven due to practical or ethical constraints. For example, hypotheses related to historical events that occurred in the distant past may not have accessible evidence for direct testing. Additionally, some questions related to consciousness, subjective experiences, or philosophical concepts may lie beyond the scope of scientific inquiry, as they may not be objectively measurable or observable.

While science has its limitations, it is a powerful tool for investigating and understanding the natural world. However, there are questions that fall outside the realm of scientific inquiry and require other methods of investigation, such as philosophical or ethical considerations.

Learn more about data here: brainly.com/question/29117029

#SPJ11

An inequality depicts the relationship between two values in an algebraic statement that are not equal.

Inequality, a declaration of the relation of greater, greater than or equal to, smaller, or less than or equal to between two numbers or algebraic expressions.

An inequality is a claim that demonstrates the connection between two (or more) expressions that have one of the following five signs:,, >,,. Similar to an equation, an inequality can be true or untrue. A true statement is: 34 - 12 > 5 + 2. An incorrect statement is 1 + 3 6 - 2.

When two values in an algebraic expression are not equal, an inequality illustrates their relationship. One of the two variables on the two sides of the inequality can be represented by an inequality sign as greater than, greater than or equal to, less than, or equal to another value.

To learn more about inequality statement refer to:

https://brainly.com/question/30238773

#SPJ1

The probability of Roger selling a zucchini bread as the next loaf is 4/21.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

The probability of Roger selling a zucchini bread as the next loaf can be found by dividing the number of zucchini breads sold by the total number of breads sold so far.

The total number of breads sold so far is:

11 (banana) + 8 (zucchini) + 9 (cranberry) + 14 (blueberry) = 42

The number of zucchini breads sold is 8.

So the probability that the next loaf Roger sells will be zucchini bread is:

8/42 = 4/21

Therefore, the probability of Roger selling a zucchini bread as the next loaf is 4/21.

To know more about probability visit:

https://brainly.com/question/13604758

#SPJ1

Answer:

did you use google.if not use it it is good to use.

The value of  x of chord = 5

By definition of circle,

The chord of a circle is defined as the line segment connecting any two locations on the circle's perimeter; nevertheless, the diameter is the longest chord of a circle that goes through the centre of the circle.

The chord is one of the several line segments that may be made in a circle, and its endpoints are on the circumference.

⇒ 6 (6 + x) = 7 (7 + 11)

Solve for x;

⇒ 36 + 6x = 7 × 18

⇒ 36 + 6x = 126

⇒ 6x = 126 - 36

⇒ 6x = 90

⇒ x = 15

Thus, The value of x = 5

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ1

The amount Marcia saved in interest by consolidating the two balances will be $105

It is given that

For Card A = 1,879.58 ; APR 14%; monthly = 43.73

For Card B = 861.00 ; APR 10% ; monthly = 18.29

Now \(\rm 5\ Years \times\ 12\ months =60\ months\)

For Card \(A=43.73\times60=2623.80\)

For Card \(B=18.29\times60=1097.40\)

Now the \(\rm Total=2623.80+1097.40=3721.20\)

Since Lowest APR is 10%. monthly rate: 0.83%

So the Total Card balance  \(1879.58+861=2740.58\)

\(A=\dfrac{P\times r(1+r)^n}{(1+r)^n} -1\)

\(A=\dfrac{2740.58\times(0.0083(1.0083)^{60}}{1.0083^{60}}-1\)

\(A=2740.58\times0.022\)

So monthly payment.

\(A=60.29\)  

\(60.29\times60=3617.40\)

For Separate cards: 3,721.20

For Consolidated:     3,617.40

The Difference: 103.80

Thus the amount Marcia saved in interest by consolidating the two balances will be $105

To know more about Amount and expenses follow

https://brainly.com/question/14513875