what is the next term of the geometric sequence
52,10.4,2.08

Answer:

D

Step-by-step explanation:

4C1*5C1*6C1*8C1

=960

The weight of the 10th dog would need to be 174 pounds for the average weight of the 10 dogs to be 50 pounds.

To calculate the weight of the 10th dog needed for the average weight to be 50 pounds, we first need to find the average weight of the given 9 dogs. Let's sum up their weights:

6 + 78 + 76 + 10 + 16 + 50 + 33 + 21 + 16 = 326

Now, we divide this sum by 9 to find the average weight:

326 / 9 = 36.22 (rounded to two decimal places)

The average weight of the given 9 dogs is approximately 36.22 pounds. To calculate the weight of the 10th dog needed for the average to be 50 pounds, we set up the following equation:

(326 + x) / 10 = 50

In this equation, 'x' represents the weight of the 10th dog. To solve for 'x', we can start by multiplying both sides of the equation by 10:

326 + x = 500

Next, we isolate 'x' by subtracting 326 from both sides:

x = 500 - 326

Simplifying the right side:

x = 174

Therefore, the 10th dog would need to weigh 174 pounds for the average weight to be 50 pounds.

In summary, the weight of the 10th dog would need to be 174 pounds for the average weight of the 10 dogs to be 50 pounds.

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Percentage error in computing volume is 10%;

r = 6 cm;

Possible measurement error , dr = ±0.1;

dr = 0.1-(0.1) = 0.2 cm;

Volume, V = 4/3 πr³ -(1)

Differentiate w.r.t. r;

dV/dr = 4πr²;  -(2)

Divide (2) by (1);

dV/V = 3 (dr/r)

Put value of r = 6 cm, dr = 0.2 cm;

dV/V = 0.1

Percentage error in computing volume = dV/V × 100% = 10%

volume is a measure of occupied three-dimensional space. it's miles frequently quantified numerically using SI derived units (consisting of the cubic meter and liter) or by way of diverse imperial devices (inclusive of the gallon, quart, cubic inch).

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Answer:

Step-by-step explanation:

You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.

The relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...

  x + y + z = 21000 . . . . . . total borrowed

  0.10x +0.12y +0.14z = 2580 . . . . . . total interest

  x + y = 2z . . . . . . . . . . . relationship between amounts

Writing the last equation as ...

  x -2y +z = 0

we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...

__

Additional comment

Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...

These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)

<95141404393>

Answer:

centre : (2;3)

radius :

\( \sqrt{5} \)

The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.

In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.

The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.

The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.

The blue segment is the conjugate axis, and it is represented by the letters "2b".

Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.

If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.

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Answer:

Simplify the radical expression.

Xx²−12Xx+35X−5x²+25x−30/((x−7)(x−5))

Step-by-step explanation:

Answer:

all of them are right answers

\(x = \frac{24}{23 \\ } \)

or

\(x = 1.04\)

or

\(x = 1 \frac{1}{23} \)

The problem with using the mean or median as a measure of center is that the distribution of the data is bimodal, indicating that there are two distinct groups of shoe sizes. The correct answer is A

The histogram shows that one group has shoe sizes from 38 to 40, while the other group has shoe sizes from 44 to 49. This suggests that the two groups have roughly the same mean shoe size, but different distributions.

Therefore, the mean or median are not good measures of center because they do not accurately reflect the underlying distribution of the data. It would be more useful to report the modes instead, which represent the most frequent shoe sizes in the data.

Your question is incomplete but most probably your full question is

In the​ U.S., shoe sizes are defined differently for men and​ women, but in​ Europe, both sexes use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female college​ students, converted from their reported U.S. shoe sizes. What might be the problem with either the mean or the median as a measure of​ center?

a. The distribution is​ bimodal, so it is more useful to report the modes than the mean or median.

b. The distribution does not have any modes, because it is uniform.

c. The distribution has one mode from 44 to 49. This is due to the students having noughly the same mean shoe size.

d. The distribution has one mode from 38 to 40. This is due to the students having noughly the same mean shoe size.

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Answer:

Let the required side be x.

\( {x} = \sqrt{ { (\sqrt{2})}^{2} + {(4)}^{2} } \\ = \sqrt{2 + 16} \\ = \sqrt{18} \\ = \boxed{ 3 \sqrt{2} }\)

Answer:

A=2

B=4

C=6

D=5

E=7

F=8

G=3

H=1

Step-by-step explanation:

explanation is in the picture!

Answer:

hello brother or sister can you please send a picture of the graph in provided but if not there are no specific calculations on reflection so you have to be smart on it and try imagining it or have your own scratch

Answer:

19 panels are painted green

Step-by-step explanation:

95/5=19 and because there are 3 colors before green again we don't have to worry about the other 3 panels

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

Where the properties of the triangle are given, by angle sum property the value of x in the expression (2 x + 10) +  (6 x + 1) +79 =180  is 11.25

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 °.

2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles.

The top angle of the triangle is (2 x + 10) °. The bottom right angle of the triangle is 79°.

The exterior angle to the bottom left angle is (6 x + 1) °.

By angle sum property

(2 x + 10) +  (6 x + 1) +79 =180

8x+11 + 79 =180

8x+11=180-79

8x+11 =101

8x = 90

x = 11.25

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The exponential function y = \(2700(1.02)^t\) models the growth of bacteria cells in a petri dish over time, with an initial population of 2700 cells and a growth rate of 2% per hour.

Exponential functions are often used to model situations where the growth or decay of a quantity depends on a constant proportionality factor.

In this case, the proportionality factor is the growth rate, which is represented by the constant 0.02 in the function. The factor (1 + r) represents the growth factor, which is the multiplier for the initial population to calculate the population after t hours. The larger the growth rate, the faster the population will grow, and the steeper the graph of the exponential function will be.

The equation y = \(2700(1.02)^t\) can be used to make predictions about the growth of the bacteria population over time. For example, after one hour, the number of bacteria cells would be y = \(2700(1.02)^1\) = 2754 cells. After two hours, the number of cells would be y = \(2700(1.02)^2\) = 2812 cells, and so on.

It's worth noting that exponential growth cannot continue indefinitely, as there are always limiting factors that will eventually constrain the growth of a population. In the case of bacteria, the petri dish may eventually become overcrowded or run out of nutrients, which will slow or stop the growth of the bacteria population. Therefore, the exponential function y = \(2700(1.02)^t\) is a model that is only valid for a certain range of values of t, beyond which other factors may come into play.

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Answer:

Please see the attached pictures for the full solution.

\(\boxed{ \frac{d}{dx} ( {x}^{n} ) = n {x}^{n - 1} }\)

First, you need to understand the vocabulary.
Saying x less than y means that you are subtracting from y. Your x here is 0.04, and your y is 1.38

y-x = 1.38-0.04 = 1.34

Answer:

it's was helpful to you

i think it is 1/5

Hope this helped :T

Answer:

x=3.33 or x=3 1/3

Step-by-step explanation:

Answer:

x = -2

Step-By-Step Explanation

3x - 2 = -8

3x - 2 + 2 = -8 + 2

3x = -6

3x/3 = -6/3

x = -2

Hope this helps!

888+88+8+8+8 is the real answer.

Answer:

1.5A

Step-by-step explanation:

To find the current that the motor will require, we can use the formula for power, which is given by:

P = E * I

where P is the power, E is the voltage, and I is the current. Substituting the values for the power and voltage into the formula, we get:

180 = 120 * I

Dividing both sides of the equation by 120, we get:

1.5 = I

Therefore, the current that the motor will require is 1.5 amps.

Step-by-step explanation:

The formula for power is P = E x I, so the current required by the motor is equal to the power divided by the voltage. In this case, the current required by the motor is 180 watts / 120 volts = 1.5 amps.

Social Security tax is a tax paid by employees and employers to fund the Social Security program, which provides retirement, disability, and survivor benefits to eligible individuals.

To determine the Social Security tax that would be withheld for each wage, we need to use the Social Security tax rate of 6.2%. However, we should note that the maximum taxable earnings for Social Security purposes in 2021 is $142,800, not $106,800 as mentioned in the question.

Using the 6.2% tax rate and the maximum taxable earnings of $142,800, we can calculate the Social Security tax for each wage as follows:

$23,560: $23,560 × 6.2% = $1,461.12

$58,900: $58,900 × 6.2% = $3,657.80

$166,090: $142,800 × 6.2% + ($166,090 - $142,800) × 1.45% = $6,927.11

$145.59: $145.59 × 6.2% = $9.03 (Note: This amount may be rounded to the nearest cent, depending on payroll practices.)

$551.90: $551.90 × 6.2% = $34.19

$66,215: $66,215 × 6.2% = $4,107.43

$1,456.92: $1,456.92 × 6.2% = $90.29

$55,518.00: $55,518.00 × 6.2% = $3,443.32

$10,129,758: $142,800 × 6.2% + ($10,129,758 - $142,800) × 1.45% = $8,537.25

$145.59: $145.59 × 6.2% = $9.03 (Note: This amount may be rounded to the nearest cent, depending on payroll practices.)

$551.90: $551.90 × 6.2% = $34.19

$56,521.50: $56,521.50 × 6.2% = $3,502.07

$1,456.92: $1,456.92 × 6.2% = $90.29

$55,518.00: $55,518.00 × 6.2% = $3,443.32

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Answer:

1. 0.66

2. 0.15

3. 0.89

4. 0.33

5. 0.23

6. 0.20

Step-by-step explanation:

I can I hope anyway...

Answer:0.66, 0.89, 0.23, 0.15, 0.33, 0.2

Step-by-step explanation:

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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So, the probability of ending up with a three-digit number that is divisible by 4 is 1/24.

To find the probability of ending up with a three-digit number that is divisible by 4 when spinning the spinner three times, we need to consider the possible outcomes that satisfy this condition and divide it by the total number of possible outcomes. Let's analyze the given spinner and its possible outcomes:

Spinner: [1, 2, 3, 4, 5, 6]

To form a three-digit number, the hundreds digit will be determined by the first spin, the tens digit by the second spin, and the units digit by the third spin. A number is divisible by 4 if the last two digits (tens and units digits together) form a number divisible by 4. Therefore, we need to find the number of possible outcomes for the tens and units digits that satisfy this condition.

Possible outcomes for the tens digit: [2, 4, 6]

Possible outcomes for the units digit: [2, 4, 6]

Combining the possible outcomes for the tens and units digits, we have a total of 9 (3 possibilities for the tens digit multiplied by 3 possibilities for the units digit) favorable outcomes. The total number of possible outcomes for each spin is 6 (since there are 6 numbers on the spinner). Since we are spinning the spinner three times independently, the total number of possible outcomes for spinning it three times is 6^3 = 216. Therefore, the probability of ending up with a three-digit number divisible by 4 is:

Probability = favorable outcomes / total outcomes

Probability = 9 / 216

Probability = 1 / 24

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a. The missing probability value is 0.4.

b. E(X) = 1.4.

c. Var(X) = 0.56 and σx = 0.75.

d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.

The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.

To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.

To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.

Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.

To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.

Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.

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Miami gets 6.12 more inches of rainfall more than Tampa.

The annual amount of precipitation that we anticipate is known as normal or typical rainfall (in a given area).

It is calculated and set by estimating the average (mean) of precipitation that has been observed in a region over a long period of time ( at least 30 years). The total amount of daily precipitation in a year is referred to as annual precipitation.

Calculation for the average rainfall-

The average rainfall (in inches) in Miami for 5 months are-

1.61, 2.24, 2.99, 3.15, 5.35, and 9.68,

Thus, the total rainfall in Miami in 5 months,

Total average rainfall = 1.61 +2.24 +2.99 +3.15 +5.35 + 9.68 = 25.02 inches

Similarly,

The average rainfall (in inches) in Tampa for 5 months are-

2.24, 2.8, 3.03, 2.05, 2.09, and 6.69.

Thus, the total rainfall in Tampa in 5 months,

Total average rainfall = 2.24 +2.8 +3.03 + 2.05 + 2.09 + 6.69 = 18.9 inches.

The difference between the total rainfall in Miami and Tampa is

25.02 - 18.9 = 6.12 inches

The total rainfall in Miami is 25.02 inches while the total rainfall in Tampa in the same time period is 18.9 inches.

Therefore, Miami gets 6.12 inches more rainfall during the same time period.

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Answer:

4.55294117. If you want it rounded look below.

Step-by-step explanation:

-Rounded-

Hundredths:4.55

Tenth: 4.6

Thousandth: 4.553

Whole Number: 5

Hope this helps. :D