a ball is dropped from a height of 20 feet. each time it drops h feet, it rebounds 0.89h feet. find the total distance traveled by the ball. (round your answer to two decimal places.)

Answer:

Answer:

legnht of a desk

Step-by-step explanation:

Answer:

22nd term is 81

Step-by-step explanation:

In order to find the answer to this question you have to realize that the common difference is the rule the arithmetic sequence goes by, so all you have to do is add four to three, twenty two times or multiply the first term by

\(a =3\)

\(d=4\)

\(3+4=7+4=11+4=15+4=19+4=23+4=27+4=31+4=35+4=39+4=33+4=37+4=41+4=45+4=49+4=53+4=57+4=61+4=65+4=69+4=73+4=77+4=81\)

\(a=81\)

Hope this helps.

Answer:

rational

Step-by-step explanation:

the square root of 196 is 14 (  whole number) therefor it is rational

Answer:  x=-1, y=7. 1st eqaution=-1+7=6, 2nd eqaution=7+-3=4

The outcome is random if we know the possible values it can have, but not which particular value it takes.

Randomness refers to the property of a process or system where the outcome is uncertain, unpredictable, and not predetermined. In a random process, we know the set of possible outcomes.

But we cannot determine which particular outcome will occur until it actually happens. For example, when flipping a fair coin, the possible outcomes are heads or tails.

But we do not know which one will come up until the coin is flipped. Randomness is a fundamental concept in probability theory and is used to model and analyze a wide range of phenomena.

Including games of chance, genetics, and quantum mechanics.

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the minimum time of 4.40 seconds is not significantly far from the mean of 4.60 seconds, which further supports the normality assumption.

It is reasonable to believe that the distribution of 40-yard running times is approximately normal based on the central limit theorem, which states that the distribution of sample means tends to be normal, regardless of the underlying population distribution, as long as the sample size is sufficiently large. In this case, we are given the mean and standard deviation for all players in the position, which suggests that the population distribution is approximately normal.

what is second?

A second is a unit of time. It is defined as the duration of 9,192,631,770 periods of the radiation corresponding to the transition between two hyperfine levels of the ground state of the caesium-133 atom.

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Answer:

Its going by 3/8.

Step-by-step explanation:

the missing number is 1 5/8. I don't know if I'm right for the second

The correct answer is D) parameter. A parameter is a measurable quantity that is inherent in the problem and is usually set by external factors. A measurable quantity that is inherent in the problem is called a D) parameter.

A parameter is a measurable and fixed value that characterizes a particular aspect of a problem, while a variable can change during the course of the problem-solving process. Decision variables are the unknowns that you need to find in order to optimize a problem, and uncontrollable variables are factors that cannot be controlled during an experiment or problem-solving process. An algorithm is a step-by-step procedure to solve a problem, and an enumeration variable is not a relevant term in this context. Parameters are used to define the boundaries of a problem and are often used in mathematical models to represent real-world situations. They differ from variables, which can change and are often used to represent unknowns in a problem, and from uncontrollable variables, which cannot be directly controlled or manipulated by the decision-maker.

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The recommended approach when choosing between one-tailed and two-tailed tests is to use a two-tailed test only.

The choice between a one-tailed or two-tailed test should be based on the research hypothesis and the specific question being investigated.

If you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

If the research hypothesis or question does not make a clear directional prediction, then a two-tailed test would be appropriate.

This is because a two-tailed test will consider the possibility of significant results in both directions of the distribution.

And is more conservative in its estimation of significance.

If the research hypothesis or question does make a clear directional prediction, then a one-tailed test would be appropriate.

This is because a one-tailed test will only consider the possibility of significant results in one direction of the distribution.

And is more powerful in detecting significant results in that specific direction.

Therefore, the answer is to use a two-tailed test only if you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

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Answer:

5 5/12

Step-by-step explanation:

2 8/12 - 1 9/12 = 11/12

4 6/12 + 11/12 = 5 5/12

Answer:

Proportionality Constant = k = \(\frac{1}{9}\)

Step-by-step explanation:

Equation is:

\(y = \frac{x}{9}\)

=> \(y = (\frac{1}{9} ) x\)

Comparing it with \(y = kx\), where k is the proportionality constant, We get:

Proportionality Constant = k = \(\frac{1}{9}\)

Answer:

\({\sf \frac{1}{9}}\)

Step-by-step explanation:

y and x are the directly proportional quantities.

\(\sf y=kx\)

The constant of proportionality is k.

The equation is:

\(\sf y=\frac{x}{9}\)

\(\sf y=\frac{1}{9} x\)

The value of k in this equation is:

\(\sf k= \frac{1}{9}\)

The Total number of registered doctors will be 246753.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Let the total number of doctors be x.

Since 23.1% of all registered doctors were female. If there were 55,700 female registered doctors that year. This will be:

23.1% × x = 55700

0.231x = 55700

Divide

x = 57000 / 0.231

x =246753

The doctors are =246753.

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Answer:

One team must play 8 games 3 times equals 24 games

One team must play 24 games

But each game uses 2 teams so there are 12 games in all

Or 9 * 24 / 2 = 108 games

Check: If there were 3 teams then one team must play

2 games 3 times  for a total of 6 times so the total of games played will be six for each team or 18 games, but each game uses 2 teams so the total of games is nine:  1-2, 2-3, 1-3 (each team has played its opponent once) - 3 * 3 = 9

T = number of teams in league

(T - 1)    1 team plays each other once

(T - 1) * T  each team has played 1 game for entire league

(T - 1) * T / 2   total games to be played for 1 game each

G *  (T - 1) * T / 2     where G is number of games

Answer:

6

Step-by-step explanation:

the length  is 6 inch.

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

Here, we have,

A rectangle has a width of 3 inches and a length of x inches.

The value of the perimeter of the rectangle is equal to the value of the area of the rectangle.

i.e. 2(3+x)=3x

x=6

hence, the length  is 6 inch.

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The exponential function in the form of an equation will be equal to \(y = 7(5.6)^x\).

Exponents are used in exponential functions, as the name implies. But take note that an exponent does not have a variable as the exponents and a fixed as the base.

As per the given information in the question,

The exponential form of the equation is,

\(y = ab^x\)

As per the given points,

(0, 7) and (5, 224)

At Point (0, 7)

7 = ab⁰

a = 7

Then, at point (5, 224)

224 = 7(b)²

b = √32

b = 5.65

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Answer:

George gets 13 runs in the fifth game

Step-by-step explanation:

He gets x in the fifth game so, ( 23 · 4 + x ) + 5 = 21

So 92 + x = 105
    -92         -92

       x = 13

The volume of the Solid -

V = ∫[-2,2] 4x^2(2x^2 - 1)(12x^2 - 1) dx

What is volume?

Volume is a measure of the amount of three-dimensional space occupied by an object or a region. It quantifies the extent or size of a solid object or a container. In simpler terms, volume is a measure of how much space an object takes up.

What is integral?

In mathematics, an integral is a fundamental concept in calculus that allows us to compute the total accumulation of a quantity over a given interval. It is used to find the area under a curve, the length of a curve, the volume of a solid, and many other applications.

To find the volume of the solid enclosed by the paraboloid z = 3x^2(y - 2)^2 and the planes z = 1, x = -2, x = 2, y = 0, and y = 2, we need to set up a triple integral over the given region.

The limits of integration for x, y, and z are as follows:

x: -2 to 2

y: 0 to 2

z: 1 to 3x^2(y - 2)^2

The volume V can be calculated as follows:

V = ∫∫∫R dz dy dx

where R represents the region defined by the given planes.

V = ∫∫∫R 3x^2(y - 2)^2 dz dy dx

To evaluate this triple integral, we integrate with respect to z first, then y, and finally x, using the given limits of integration:

V = ∫[-2,2] ∫[0,2] ∫[1,3x^2(y-2)^2] 3x^2(y - 2)^2 dz dy dx

Performing the integration:

V = ∫[-2,2] ∫[0,2] [3x^2(y - 2)^2z]∣[1,3x^2(y-2)^2] dy dx

V = ∫[-2,2] ∫[0,2] 3x^2(y - 2)^2[3x^2(y-2)^2 - 1] dy dx

V = ∫[-2,2] [x^2(y - 2)^2(3x^2(y-2)^2 - 1)]∣[0,2] dx

V = ∫[-2,2] 4x^2(2x^2 - 1)(12x^2 - 1) dx

Evaluate this integral using appropriate techniques or numerical methods, such as numerical integration or computer software, to find the volume of the solid enclosed by the paraboloid and the given planes.

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Answer:

D js hu sisngsizkabs s ah w

Answer:

l = 2w - 3

2(2w - 3) + 2w = 27

4w - 6 + 2w = 27

6w - 6 = 27

6w = 33, so w = 5.5 feet and l = 8 feet

Answer:

Width: 5.5 feet

Length: 8 feet

Step-by-step explanation:

Let's begin by assigning variables to stand in for the rectangle's width and length.

Let x represent the rectangle's width.

The length is three feet shorter than double the width, according to the problem. As a result, the length may be written as:

2x - 3

The lengths of all the sides make up a rectangle's perimeter, which in this instance is:

2w + 2l

By substituting the width and length measurements we discovered:

2x + 2(2x - 3)

Simplifying:

2x + 4x - 6 = 27

6x = 33

x = 5.5

The rectangle is 5.5 feet wide as a result.

We may change x into the expression we discovered earlier to figure out the length:

2(5.5) - 3 = 8

The rectangle is 8 feet long as a result.

As a result, the rectangle's measurements are:

Width: 5.5 feet

Length: 8 feet

minutes of long-distance calls in a month make plan A the better deal= 300.

you are choosing between two long-distance telephone plans. Plan A has a monthly fee of $15 with a charge of $0.08 per minute for all long-distance calls. Plan B has a monthly fee of $3 with a charge of $0.12 per minute for all long-distance calls.

f(x)=15+0.08x

g(x)=3+0.12x

The costs for the two planes be the same when f(x)=g(x),

15+0.08x=3+0.12x

12=0.04x

x=300 minut.

f(x)=15+0.08*300=15+24=39.

g(x)=3+0.12*300=3+36=39.

 minutes of long-distance calls in a month make plan A the better deal= 300.

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Answer:

$19.68 for each foot

Step-by-step explanation:

Answer:

$19.68

Step-by-step explanation:

no <3

Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

1. The face value of the simple discount note that will provide $54,800 in proceeds is $58,297.87.

2. The balance on June 30 in Peter's savings account will be $29,023.72.

1. The face value of the simple discount note, we use the formula: Face Value = Proceeds / (1 - Discount Rate * Time). Plugging in the given values, we have Face Value = $54,800 / (1 - 0.06 * 180/360) = $58,297.87.

2. To calculate the balance on June 30, we can use the formula for compound interest: Balance = Principal * (1 + Interest Rate / n)^(n * Time), where n is the number of compounding periods per year. Since the interest is compounded daily, we set n = 365. Plugging in the values, we have Balance = ($25,000 + $4,500) * (1 + 0.045/365)^(365 * 90) = $29,023.72.

For the accumulation in 12 years, we can use the formula for the future value of an ordinary annuity: Accumulation = Payment * [(1 + Interest Rate)^Time - 1] / Interest Rate. Plugging in the values, we have Accumulation = $5,100 * [(1 + 0.06)^12 - 1] / 0.06 = $96,236.17.

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Answer:

18 inches or 1 foot 6 inches/1 foot and a half

Step-by-step explanation:

one foot is 12 inches long so you take the number of feet given (7—we'll worry about the half later) and multiply by the number of inches that are in a foot (12)

7×12=84

then half a foot is 6 inches so 84+6=90 inches

then we take 90 and divide it by 5 (to get the length of one piece)

90/5=18 inches

you can keep it as 18 inches or convert it into feet which you subtract 12 from 18, and you have 6 inches left which is 1 foot and a half

The calculated value of the product of 0.8 and 0.27 is 0.216

From the question, we have the following parameters that can be used in our computation:

What is the product of 0.8 and 0.27?

When represented as a product expression, we have

0.8 * 0.27

Evaluating the products

so, we have the following representation

0.8 * 0.27 = 0.216

This means that the product of 0.8 and 0.27 is 0.216

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