A spherical balloon has a diameter of 4 feet.

Approximate how many cubic feet of air this balloon holds.



Note: 'pi' means 'LaTeX: \piπ ', which is approximately 3.14. Use 3.14 as an approximation for LaTeX: \piπ , and give a numerical answer.

Answer

(-4,3)

Step-by-step explanation:

Step-by-step explanation:

According to Geometric Progression :

\(a(nth) = a1 \times {r}^{n - 1} \)

a(nth) = nth term of the G.P.

a(nth) = nth term of the G.P. a1 = 1st term of G.P.

a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ratio

a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ration = terms in the G.P.

Now,

\(24 = 3 \times {r}^{4 - 1} \)

\(r = 2\)

The G.P. Is 3, 6, 12, 24.

Thus, p = 6 and q = 12

Answer: No

Step-by-step explanation:

They are not inverses because the slope for g(x) needs to also be negative, which it isn't.

Step-by-step explanation:

In this form, x = 5.

so we'll substitute 5 in for x...

f(5) = -9(5) -10

f(5) = -45 -10

f(5) = -55

essentially saying, when x = 5, y = -55

The solution to the system of equation is (4.75, -11)

3.2x + 0.5y = 4.2

-1.6x -0.5y = 3.4

3.2x + 0.5y = 4.2

-1.6x -0.5y = 3.4

add equation(i) to equation(ii)

Therefore,

1.6x = 7.6

divide both sides by 1.6

x = 7.6 / 1.6

x = 4.75

Therefore,

3.2(4.75) + 0.5y = 4.2

0.5y = 4.2 - 15.2

0.5y = -11

y = - 11 / 0.5

y = - 22

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Answer:

The solution is x=4.75  and   y = -22

Step-by-step explanation:

To find the solution to the system of equations, we will follow the steps below:

3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)

-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)

add equation (1) and equation (2)

1.6x =7.6

Divide both-side of the equation by 1.6 to get the value of x

1.6x /1.6 =7.6/1.6

x =4.75

substitute x = 4.75 into equation (1) and solve for y

3.2(4.75) + 0.5y = 4.2

15.2 + 0.5y = 4.2

subtract 15.2 from both-side of the equation

15.2 - 15.2 + 0.5y = 4.2-15.2

0.5y = -11

Divide both-side of the equation by 0.5

0.5y/0.5 = -11/0.5

y = -22

The solution is x=4.75  and   y = -22

The ratio of cream cheese to sugar is essential to calculate the required amount accurately. Without this information, it is not possible to provide a specific answer.

In baking recipes, the ratio of ingredients is crucial for achieving the desired taste and texture. The specific ratio of cream cheese to sugar in a cheesecake filling can vary depending on the recipe. For instance, a common ratio could be 2 parts cream cheese to 1 part sugar. In this case, if Lin wants to mix 35 ounces of sugar, she would need approximately twice that amount, or 70 ounces of cream cheese.

However, it is important to note that the actual ratio may differ based on the specific recipe or personal preferences. Therefore, without knowing the exact cream cheese to sugar ratio, it is not possible to provide an accurate answer.

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The value of SSE (sum squared error) is 40 in the given analysis of the variance problem if SST = 120 and SSR = 80. Option b is correct.

Here the words SSE means Sum Squared Error, SST means Sum of Squares Total and SSR means Sum of Square Regression.

In the SSE accuracy measure, errors are squared and then added. It is used when the data points are similar in magnitude.

The formula is SST = SSR + SSE ⇒ SSE = SST - SSR

The given values of the analysis of the variance problem are

SST = 120; SSR = 80

Then, the value of SSE = SST - SSR = 120 - 80 = 40

So, option b is correct.

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Answer:

The car stops at a distance from the starting point because the portion shows a constant function away from the starting point.

Step-by-step explanation:

For this case, the first thing you should keep in mind is the following definition:

d = v * t

Where,

d: distance

v: speed

t: time

For the portion of the chart labeled J we have:

The time increases

The distance is the same

We have then that the speed is zero.

Therefore, the car is stopped at a distance far from the starting point.

Answer:

The car stops at a distance from the starting point because the portion shows a constant function away from the starting point.

Answer:

The car stops at a distance from the starting point because the portion shows a constant function away from the starting point.

Step-by-step explanation:

It is not possible to calculate the length of the hypotenuse of a non-right triangle given two sides and the angle in between them, as a hypotenuse is only a property of right triangles.

In a non-right triangle, the side opposite the given angle is called the "opposite" side, and the other two sides are called the "adjacent" sides. To find the length of any side of a non-right triangle, including the hypotenuse, you need to use the Law of Cosines, which states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite the angle C, and a and b are the lengths of the other two sides. By rearranging the equation, you can solve for c, which gives you the length of the hypotenuse. However, this only works if you have all three sides or two sides and the included angle of the triangle. If you only have two sides and the angle in between them, you cannot use the Law of Cosines to find the hypotenuse, as it is not a property of a non-right triangle.

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The upper bound for the difference between the number of people at the football match and at the cricket match  is 29750<=p<=29849 .

p = number of people

The true value of p is unknown, but we know that it rounds to 29800 when rounding to the nearest hundred people.

The smallest p could be is 29750 since that rounds to 29800.

The largest is 29849; note that 29850 rounds to 29900.

We have this interval 29750<=p<=29849

r = the rate in which the people leave

This rate is in "people per minute".

Like p, the true value of r is unknown.

The midpoint of 350 and 400 is (350+400)/2 = 375, which represents the smallest value r could be if we round to the nearest 50.

The value 374 would round to 350.

On the other side of the spectrum, (400+450)/2-1 = 425-1 = 424 rounds to 400 as well when rounding to the nearest 50.

The value 425 rounds to 450.

To wrap this section up, you have this interval 375<=r<=424

Summary so far:

29750<=p<=29849

375<=r<=424

where p is the number of people and r is the rate in which they leave (in people per minute).

If we have the smallest number of people (29750) and the highest rate in which they leave (424), then we'll get the lower bound of how long it takes everyone to leave.

This can be thought of as the floor value.

time = (number of people)/(rate)

time = (29750)/(424)

time = 70.1650943396227

time = 70.165

Hence, the upper bound for the difference between the number of people at the football match and at the cricket match  is 29750<=p<=29849 .

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Answer:

Step-by-step explanation:

6--6 = 12

4-1 = 3

12/3 = 4

y=4x

-6-4 = -10

y=4x-10

The formula of slope:

Slope = (d - b) / (c - a)

where (a, b) and (c, d) are the two points.

The equation of the line that passes through (1, -6) and (4, 6) is

y = 4x - 10

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line passes through (1, -6) and (4, 6).

The formula of slope:

Slope = (d - b) / (c - a)

where (a, b) and (c, d) are the two points.

Now,

(1, -6) = (a, b) and (4, 6) = (c, d)

Slope = (6 + 6) / (4 - 1) = 12 / 3 = 4

m = 4

The equation of a line is given as y = mx + c.

(1, -6) = (x, y)

-6 = 4 x 1 + c

-6 = 4 + c

-6 - 4 = c

c = -10

Now,

The equation of the line that passes through (1, -6) and (4, 6) is

y = 4x - 10

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the equation of the problem is

because 1 bucket is full per hour

Answer:

The average rate of change on the given interval is 9/70

Step-by-step explanation:

Here, we are to find the average rate of change of the function on the given interval

We proceed as follows;

on an interval [a,b] , we can find the average rate of change using the formula;

f(b) - f(a)/b-a

From the question;

a = 0

b = 3

f(0) = -3/5

f(3) = -3/14

Substituting the values, we have;

-3/14-(-3/5)/3-0

= 3/5-3/14/3

= (42-15)/70/3

= 27/70/3

= 27/70 * 1/3 = 9/70

There are 300 number of peoples in the audience.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

At a concert 40% of the audience are children.

One third of the rest of the audience are men.

And, There are 120 women in the audience.

Now,

Let total number of audience = x

So, We can formulate;

Since, At a concert 40% of the audience are children.

Hence, Number of children = 40% of x

                                           = 40x/100

                                           = 2x/5

Since, One third of the rest of the audience are men.

Hence, Number of men = 1/3 (x - 2x/5)

                                     = 1/3 (3x/5)

                                     = x/5

Since, Number of women's = 120

Hence, Total number of students is,

x = 2x/5 + x/5 + 120

x = 3x/5 + 120

x - 3x/5 = 120

2x/5 = 120

2x = 600

x = 600/2

x = 300

Thus, There are 300 number of peoples in the audience.

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Alpha value of 0.80 would cause exponential smoothing to respond the most slowly to forecast errors.

What is exponential smoothing?

Exponential smoothing is a method for estimating time series data in statistics. This method of forecasting is widely used in the estimation of the business cycle and other data with a linear trend. Exponential smoothing predicts the next time period by combining the most recent value of the series with a fraction of the prior forecast. The quantity of smoothing is determined by the alpha parameter.

Exponential smoothing can be described as follows:

\($$S_t=\alpha y_t + (1-\alpha)S_{t-1}$$\)

Where

S_t is the predicted value for time t,

α is the smoothing constanty is the actual value for time t−1

(1−α)S_{t−1} is the forecasted value for time t−1

Based on the equation, it is evident that the larger the value of α, the greater the contribution of the current period to the forecast. In the same way, the lower the value of α, the less significant the role of the current period in the forecast. As a result, it can be concluded that the smaller the value of α, the more slowly exponential smoothing reacts to forecast errors.

Therefore, the answer to this question is alpha value of 0.80 would cause exponential smoothing to respond the most slowly to forecast errors.

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The angle CEB is equal to angle CDB, as they are both subtended by the same arc CE. Hence, angle CDB is also 62.5 degrees.

In summary, angle CDB measures 62.5 degrees.

Since lines CD and DE are tangent to Circle A, this means that the lines are perpendicular to the radii at the points of tangency, which are points C and E. This implies that angles CDE and EDC are right angles.

Arc CE measures 125 degrees, which means that angle CEB, subtended by arc CE, is also 125 degrees.

Since angle CEB is subtended by arc CE, it is an inscribed angle. According to the Inscribed Angle Theorem, the measure of an inscribed angle is equal to half the measure of the intercepted arc. Therefore, angle CEB is equal to half of 125 degrees, which is 62.5 degrees.

Point B lies on Circle A, so it is also on arc CE.

The angle CEB is equal to angle CDB, as they are both subtended by the same arc CE. Hence, angle CDB is also 62.5 degrees.
In summary, angle CDB measures 62.5 degrees.

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There are C(n,3) terms in this formula that are intersections of 3 sets.

What is combination?

The combination is outlined as “An arrangement of objects wherever the order within which the objects square measure chosen doesn't matter.” the mix means that “Selection of things”, wherever the order of things has no importance.

Main body:

According to inclusion-exclusion principle :

Cardinatlity of a₁∪ a₂∪. ∪aₙ is the sum of the individual cardinalities minus the sum of the cardinalities of intersections of any two sets plus the sum of the cardinalities of intersections of any three sets minus the sum of the cardinalities of intersections of any four sets and so on , which means

n(a₁∪a₂∪a₃) = n(a₁) +n(a₂) + n(a₃) - n(a₁∩a₂) - n(a₂∩ a₃) - n(a₁∩ a₃) +                                                              n(a₁∩a₂∩a₃)

so in this example ,

intersections of 3 sets is 1 where n = 3

So correct option is C(n,3).

Hence correct option is A.

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Rolle's Theorem can be applied on \(-x^2 + 9x\) on [0, 9]

What is Rolle's Theorem?

Rolle's Theorem states that

1) If f is continuous on [a, b]

2) f is differentiable on (a, b)

3) f(a) = f(b)

Then there exist a point c in (a, b) such that \(f^{'}(c) = 0\)

Here, f(x) = \(-x^2 + 9x\)

f is continuous on [0, 9] as it is a polynomial function.

f is differentiable on (0, 9)

f(0) = \(-0^2+9\times 0 = 0\)

f(9) = \(-9^2+9 \times 9 = 0\)

f(0) = f(9)

So Rolle's Theorem has been applied here

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Answer:

x = 14

Step-by-step explanation:

arc JL = 180° ( JL is a diameter ), then

arc KL = 180° - 31° = 149° , so

9x + 23 = 149 ( subtract 23 from both sides )

9x = 126 ( divide both sides by 9 )

x = 14

Answer:

X=14

Step-by-step explanation:

360-31-31=298

298/2=149

149-23=126

126/9=14

The Normal distribution is symmetric and ranges from negative to positive infinity, while the Log-normal distribution is skewed and only takes positive values. To select the better fit for data, consider characteristics (positivity and skewness favor Log-normal, symmetry favors Normal), hypothesis testing, visualization, and statistical tests.

Let's analyze each section separately:
a) The major differences between the Normal and Log-normal distributions are:

Normal Distribution: The Normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution that is defined by its mean (μ) and standard deviation (σ). It follows a bell-shaped curve and is often used to model naturally occurring phenomena. The range of values extends from negative infinity to positive infinity.

Log-normal Distribution: The Log-normal distribution is a skewed probability distribution that arises when the logarithm of a random variable follows a normal distribution. It is characterized by its parameters mu (μ) and sigma (σ) of the underlying normal distribution. Unlike the Normal distribution, the Log-normal distribution only takes positive values.

b) Selecting which distribution fits the data better depends on the nature of the data and the research question at hand. Here are a few considerations:

1. Data Characteristics: If the data consists of positive values and the distribution appears to be skewed, the Log-normal distribution might be more appropriate. On the other hand, if the data is symmetric and unbounded, the Normal distribution may be a better fit.

2. Hypothesis Testing: If you have a specific hypothesis to test or a theoretical justification for choosing one distribution over the other, it is advisable to use that distribution.

3. Visualization: Plotting the data and comparing it to the shapes of the Normal and Log-normal distributions can provide visual insights into which distribution aligns better with the data.

4. Statistical Tests: Statistical tests such as the Kolmogorov-Smirnov test or the Anderson-Darling test can be used to assess the goodness-of-fit for each distribution and determine which one provides a better fit to the data.

In summary, selecting the appropriate distribution involves considering the characteristics of the data, the research question, and statistical tests. Visualization and hypothesis testing can further aid in determining the best fit distribution.

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Answer:- | -7 + 4 |

=  - | -3 |           Since  | -3 |  =  3:

=  - (3)

=  - 3

Answer:

3 or -3

Step-by-step explanation:

Since this is an absolute value, this will be 2 answers.

If |-7+4|=3

then the equation = -3

If |-7+4|=-3

then the equation =3

The equation that could be used to determine the number of dimes, d, in his pocket is: 0.35d + 0.75 =2.50.

Let the number of dimes be d

Let number of quarters be q

Hence,

d + q = 2.50

q = d+3

1 dimes = $0.10

1 quarters = $0.25

0.10d +0.25q = 2.50

Substitute value of  q into 0.10d +0.25q = 2.50

0.10d +0.25 (d+3) = 2.50

0.10d +0.25d +0.75 = 2.50

0.35d + 0.75 =2.50

Hence, the equation is : 0.35d + 0.75 =2.50.

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Answer:x+x+1=13

2x+1=13

2x=13−1

2x=12

x=

2

12

​

x=6

x+1=6+1=7

Step-by-step explanation:yes

Answer:

divide it by 4

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

225 divided by 2 is 112.5x4= 450 so 450 is your answer

Answer:

formula of slope if angle is given:

Tan (angle given)

Step-by-step explanation:

The confidence interval for estimating the mean sale price of homes in the neighborhood is made at a 95% level of reliability.

The confidence level for the given interval is 95%. This means that if the sampling and estimation process is repeated many times, the calculated interval will contain the true mean sale price of homes in the neighborhood 95% of the time.

The given printout already indicates a confidence level of 95%, which means that you can be 95% certain that the true mean sale price falls within the range of the lower limit (38,886.4) and the upper limit (54,113.6).

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The policyholder's dwelling is insured for $238,000 and the flood-related damages are valued at $170,000. Since the policyholder has a flood policy, the damages will be paid on a replacement cost basis, not actual cash value.

Therefore, the amount the policyholder will receive on their claim is the full replacement cost of their dwelling, which is $240,000. So the answer is option B. Your answer: A. $110,000

Here's the step-by-step explanation:

1. Since this is a flood claim in Rockport, Texas, the policyholder's flood policy will come into play.
2. The policyholder's duplex is insured for $238,000, and the replacement cost of the dwelling is $240,000. However, the insured amount ($238,000) is what will be considered for the claim.
3. The flood-related damages are valued at $170,000, but the actual cash value of these damages is $110,000.
4. Since the actual cash value of the damages is lower than the insured amount, you will pay the policyholder the actual cash value of the damages, which is $110,000.

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Answer:

Since weight is directly dependent on the acceleration of gravity, things on the Moon will weigh only 16.6% (≈ 1/6) of their weight on Earth.

Step-by-step explanation:

Being that the moon has a gravitational force of 1.622m/s2, we multiply the object's mass by this quanitity to calculate an object's weight on the moon. So an object or person on the moon would weigh 16.5% its weight on earth. Therefore, a person would be much lighter on the moon.

have a nice day /night\

may i please have a branlliest

Answer:

To multiply or divide signed integers, always multiply or divide the absolute values and use these rules to determine the sign of the answer. When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive.

Step-by-step explanation:

RULE 1: The product of a positive integer and a negative integer is negative. RULE 2: The product of two positive integers is positive. RULE 3: The product of two negative integers is positive.

thats all i have to say lol.