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Write the formula, and find the volume of each right circular cone.

Points have no size and no dimension

Points have no length or height.

option C and D are the correct answers.

A point is an exact location without any size or does not have any length, area, volume or any other dimensional attribute. It is normally shown by a dot.

The following are the characteristics of points;

Thus, from the given options; the characteristic of points are;

Points have no size and no dimension

Points have no length or height.

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The nth term of the sequence as:  an =  {  4 (n - 1) if n is odd

1 if n is even and n ≠ 4   8/2n when n = 4

An arithmetic progression is a list of numbers where each term is obtained by adding a specific number to the previous term, except for the first term. The following formulas help  solve arithmetic progression problems: AP common difference: d = an - an-1. AP nth term: an = a (n -1)d

Sum of n terms of  AP: Sn = n/2 (2a (n - 1)d)

The given sequence is 4, 5/3, 6/5, 1, 8/9.

 To find the expression for the nth term, we must observe the pattern of the sequence. We  see that the numerators of the series fractions increase by 1 for each term, while the denominators increase by 2 for each term except  the fourth term, which is 1.  Therefore, we can write the nth term of the sequence as:

an =  {  4 (n - 1) if n is odd

1 if n is even and n ≠ 4

8/2n when n = 4

where n is a positive integer representing the position of the term in the sequence.

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The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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The solutions to the quadratic equation 3(x+4)² + 47 = 50 are x = -3 and x = -5.

To solve the quadratic equation 3(x+4)² + 47 = 50, we can follow these steps:

Expand and simplify the equation:

3(x+4)² + 47 = 50

3(x² + 8x + 16) + 47 = 50

3x² + 24x + 48 + 47 = 50

3x² + 24x + 95 = 50

Move all terms to one side to set the equation to zero:

3x² + 24x + 95 - 50 = 0

3x² + 24x + 45 = 0

Divide the entire equation by the common factor of 3 to simplify:

x² + 8x + 15 = 0

Factorize the quadratic equation:

(x + 3)(x + 5) = 0

Apply the zero-product property and set each factor equal to zero:

x + 3 = 0 or x + 5 = 0

Solve for x:

For x + 3 = 0:

x = -3

For x + 5 = 0:

x = -5

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Answer:

Equation 1 |2x − 3| + 5 = is wrong but equation 2 is correct

Step-by-step explanation:

The values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

We know that the amplitude, A = 2 + T; the angular velocity, ω = 4 + U rad/s; and time, t = 1s. Here, the value of T = 1 and the value of U = 4 (as mentioned in the question).

Harmonic motion is a motion that repeats itself after a certain period of time.

Harmonic motion is caused by the restoring force that is proportional to the displacement from equilibrium.

The three types of harmonic motions are as follows: Free harmonic motion: When an object is set to oscillate, and there is no external force acting on it, the motion is known as free harmonic motion.

Damped harmonic motion: When an external force is acting on a system, and that force opposes the system's motion, it is called damped harmonic motion.

Forced harmonic motion: When an external periodic force is applied to a system, it is known as forced harmonic motion.Vectorial formVibrations of harmonic motion can be represented in a vectorial form.

A simple harmonic motion is a projection of uniform circular motion in a straight line.

The displacement, velocity, and acceleration of a particle in simple harmonic motion are all vector quantities, and their magnitudes and directions can be determined using a coordinate system.

Let's now calculate the values of displacement, velocity, and acceleration.

Displacement, s = A sin (ωt)

Here, A = 2 + 1 = 3 (since T = 1)and, ω = 4 + 4 = 8 (since U = 4)

So, s = 3 sin (8 x 1) = 2.68 m (approx)

Velocity, v = Aω cos(ωt)

Here, v = 3 x 8 cos (8 x 1) = 2.24 m/s (approx)

Acceleration, a = -Aω2 sin(ωt)

Here, a = -3 x 82 sin(8 x 1) = -18.07 m/s2 (approx)

Thus, the values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

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Answer: vertical

Step-by-step explanation:

Answer: its A

Step-by-step explanation:

The given statement after evaluating and considering the other options is false. Due to the criteria it falls under elaborates the  case of statistically significant change is to be present while comparing the math scores  between the two groups, In short there will always be difference between two group s while we compare them on a particular topic .

From here on we can come to the conclusion that the difference was not due to chance occurrence.

A statistically significant change  refers to process which is  unlikely to be elaborated solely by chance and random factors.

In short, a statistically significant  has a very less chances  of taking place if there is no true effect in a research study.

The famous examples of statistical significance of finding are

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Step-by-step explanation:

2/3  * 150  = 1/2  * ?

   100  =    1/2 * ?       Multiply both sides by 2 to get

    200 = ?

The correct answer is I. The probability of a Type I error goes up

If the significance level, or begin alpha, is changed from 0.01 to 0.05, the probability of a Type I error increases. This is because the researcher is now more willing to reject the null hypothesis and declare a significant effect even when there isn't one.

However, changing the significance level does not necessarily affect the p-value. The p-value is a measure of the strength of evidence against the null hypothesis, and is calculated based on the data and the chosen significance level. It is possible for the p-value to go up or down depending on the data, even if the significance level remains constant.

Therefore, the correct option is  I. The probability of a Type I error goes up.

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Answer:

no

Step-by-step explanation:

3/4=0.75

1/2+n=0.5

Answer:

3/4 is greater than 1/2 I hope this helps you

Answer: $14.85

Step-by-step explanation:

Ww can solve the question using direct proportion with the formula y = kx

where y = annual salary

x = monthly policy cost.

k = constant of proportionality

Since y = kx

38500 = 11.55k

k = 38500 / 11.55

k = $3333.33

When Randy has an annual salary of $49,500, the amount Randy expect to pay for his policy will be:

y = kx

49500 = 3333.33x

x = 49500 / 3333.33

x = 14.85

The amount that Randy expect to pay for his policy will be $14.85

The total number of different rainbow splits an ice cream store can advertise as per the 30 different flavors equals 24,360.

Total number of different flavors present in the ice cream store is equal to 30

Number of different scoop of ice cream used to make rainbow banana-boat-split is equal to 3

Total number of different rainbow splits ice cream store can advertise

= ³⁰P₃

= ( 30! ) / ( 30 - 3 )!

= 30 × 29 × 28 × 27! / 27!

=  30 × 29 × 28

= 24, 360

Therefore, the number of different rainbow splits can be advertised by ice cream store is equal to 24,360.

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The number of time it take  Katherine to drive from home back to college is: 3 hrs 21 min.

Going home:

Rate =  65.1 mph , distance  = x miles ; time = distance /rate = x/ 65.1 hrs

Going to college:

Rate = 70.7 mph ; distance  = x miles ; time = x/70.7 hrs

Equation:

x/70.7+ x/ 65.1=  11

70.7x + 65.1x = 7 × 65.1 × 70.7

Combine like terms

135.8x = 32,217.99

Divide both side by 135.8x

x = 32,217.99/ 135.8

x = 237.25 miles

Home back to college

=  237.25 /70.7

=3.35 hrs

= 3 hrs 21 min

Therefore it take Katherine 3 hrs 21 min.

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Answer:

C

Step-by-step explanation:

36 dollars for 3 lunches

Answer:

The missing number is 11.

Step-by-step explanation:

3+2=5; 5+4=9; The pattern is +2, +4.

3 + 2 = 5 ⇒ 5 + 4 = 9 ⇒ 9 + 2 = 11 ⇒ 11 + 4 = 15

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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The cost of making the box with dimensions 20√5 cm, 20√5 cm, and 2 / 25√5 cm is minimized.

Given that Sandy will make a closed rectangular jewellery box with a square base from two different woods. The wood from the top and bottom costs $0.0040/cm squared. The wood for the sides costs $0.0060/cm squared. To find the dimensions that minimize the cost for a box with volume 8000 cm cubed. Let's assume that the side length of the square base is x, and the height of the box is h. So the volume of the box is given by, V = x²h Given that the volume of the box is 8000 cm³.

Therefore, x²h = 8000, h = 8000 / x² = 8 / x² Now, the cost of the top and bottom is $0.0040/cm², and that of the sides is $0.0060/cm². Therefore, the total cost C, C = 2xy($0.0040/cm²) + 4xh($0.0060/cm²)C = $0.008xy + $0.024hx Substituting h = 8 / x², C = $0.008xy + $0.192/x Now, we need to minimize the cost C. So, differentiate with respect to x, C' = $0.008y - $0.192/x² Equating it to zero and solve for x to get, x = 20√5 cm and y = 20√5 cm. Therefore, the required dimensions of the rectangular jewelry box are x = y = 20√5 cm, and h = 8 / x² = 2 / 25√5 cm.

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Answer:

£29.37

Step-by-step explanation:

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The solution of inequality 550 + 8b < 925 is b < 375 / 8 and the graph is attached below.

Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal

Given:

550 + 8b < 925

Solve the inequality by subtracting 550 on both sides,

550 + 8b - 550 < 925 - 550

8b < 375

Divide by 8 into both sides,

b < 375 / 8

The graph of the above inequality is attached below.

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Answer:

(4,5)

Step-by-step explanation:

The mode of the sample can be larger, smaller or equal to the mode of the population, but must not be equal to the mean of the population or 500.

The mode of a sample is the value that occurs most often in the sample. The mode of a population is the value that occurs most often in the population. In a random sample, the mode of the sample can be larger, smaller or equal to the mode of the population. This is because the sample is a subset of the population and the values in the sample may not be the same as the values in the population.

The formula for calculating the mode of a sample is:

Mode = Number of times the most frequent value appears / Total number of values

For example, in a sample of 50 items from a population of 500, the mode of the sample could be equal to the mode of the population, if the most frequent value in the sample appears the same number of times as it does in the population. However, if the most frequent value in the sample appears more or less times than it does in the population, then the mode of the sample will not be equal to the mode of the population.

The mode of the sample must not be equal to the mean of the population, since the sample is a subset of the population and the values in the sample may not be the same as the values in the population. Furthermore, the mode of the sample must not be 500, since the sample is not the entire population.

The mode of the sample can be larger, smaller or equal to the mode of the population, but must not be equal to the mean of the population or 500.

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Answer:7+14g

Step-by-step explanation: 7*1 + 7*2g

Answer:

See the steps below:)

Step-by-step explanation:

Expression is equivalent to (2x+3)(3x²−2x+5) is 6x³+5x²+4x+15.

An expression can be of many types numerical expressions, Algebraic expressions.We can also form these mathematical expressions from a given statement or by observing a real world scenario.

Equivalent expressions are same expressions in different forms.To check whether an expression is equivalent to another expression or not we just need to do some algebraic manipulations.Like distributing or taking common and other algebraic and arithmetic operations.

According to the given problem we have to write an expression which is equivalent to the expression (2x+3)(3x²-2x+5).

(2x+3)(3x²-2x+5)

= (2x+3)(3x²-2x+5)

=2x(3x²-2x+5)+3(3x²-2x+5)                                (now we will distribute)

=6x³-4x²+10x+9x²-6x+15

=6x³+5x²+4x+15.

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Answer:

a

Step-by-step explanation:

Answer:

Perpendicular

Step-by-step explanation:

Because the two lines don't have a "b" value in the equation y=mx+b, we know that both these lines are straight lines either horizontal or vertical. So, if we were to graph these, they would intersect and creat 4 90º angles, making it perpendicular (see graph as well)

The statement that "the tribe is the οldest sοciοpοlitical type; the tribe predates the state" is a widely accepted view in anthrοpοlοgy and archaeοlοgy.

It suggests that human sοcieties evοlved frοm smaller, kinship-based grοups knοwn as tribes befοre transitiοning tο larger, centralized fοrms οf pοlitical οrganizatiοn knοwn as states.

Tribes are characterized by a clοse-knit sοcial structure based οn kinship ties, with members sharing cοmmοn ancestry and οften living in smaller, decentralized cοmmunities. Tribal sοcieties typically have egalitarian sοcial structures, with leadership based οn kinship οr achieved status rather than fοrmal hierarchical systems.

As human sοcieties evοlved, sοme tribes eventually develοped intο states, which are characterized by centralized pοlitical authοrity, fοrmal legal systems, and defined territοrial bοundaries. States οften have mοre cοmplex sοcial hierarchies, specialized institutiοns, and a mοnοpοly οn the use οf fοrce.

The transitiοn frοm tribes tο states is believed tο have οccurred gradually οver thοusands οf years, as human pοpulatiοns grew and interactiοns between grοups increased. The emergence οf agriculture, surplus prοductiοn, and the need fοr larger-scale gοvernance are οften cited as factοrs cοntributing tο the develοpment οf states.

While the specific timeline and prοcesses οf this transitiοn are still subjects οf οngοing research and debate, it is generally accepted that tribal sοcieties predate the develοpment οf states in human histοry.

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The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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Answer:

81.5

Step-by-step explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4\(y^{2}\) = 6\(y^{2}\) - 40

add 40 to both sides and subtract 4\(y^{2}\) from both sides: 40 = 2\(y^{2}\)

you get: 20 = \(y^{2}\)

root square on both sides: \(\sqrt{20}\) = \(\sqrt{y^{2} }\)

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6\(y^{2}\) -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5