Can someone please help me????

The first five terms in the recursive sequence are: 2, 3, 6, 18, 108.

First five terms of the recursive sequence defined by a1 = 2, a2 = 3, and an = an-2 * an-1.
1. First term (a1): Given as 2.
2. Second term (a2): Given as 3.
3. Third term (a3): To find a3, use the formula an = an-2 * an-1. In this case, n = 3, so a3 = a1 * a2 = 2 * 3 = 6.
4. Fourth term (a4): Similarly, to find a4, use the formula with n = 4. So a4 = a2 * a3 = 3 * 6 = 18.
5. Fifth term (a5): Finally, to find a5, use the formula with n = 5. So a5 = a3 * a4 = 6 * 18 = 108.
The first five terms in the recursive sequence are: 2, 3, 6, 18, 108.

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Answer:

yes

Step-by-step explanation:

Mathematically, C’ = πd’

C’ =16, π = 22/7

∴ 16 = 22d’/7

16 x 7 = 22d’

d' = (16 x 7) / 22

d’ = 112/22

d’ = 5.09

d d’ = 0.25

d’ = 5.09

∴ d (5.09) = 0.25

d = 0.25/5.09

d = 0.05

Mathematically, C = πd

π = 22/7, d = 0.05

∴ C = 22/7 x 0.05

C = 0.16

There are 20 cards with at least one 6 printed on them in a deck of 400 cards numbered from 1 to 400.

Let's find the number of cards with a 6 in the tens place in a deck. There are 10 possible numbers in the ones place (0-9) and only one possible number in the tens place (6), so, 10 x 1 = 10 cards with a 6 in the tens place.

Next, let's find the number of cards with a 6 in the ones place. There are 10 possible numbers in the tens place (0-9) and only one possible number in the ones place (6), so, 10 x 1 = 10 cards with a 6 in the ones place.

Finally, let's find the number of cards with a 6 in both the tens and ones place. There is only one possible number in the tens place (6) and only one possible number in the ones place (6), so,  1 x 1 = 1 card with a 6 in both the tens and ones place.

To find the total number of cards with at least one 6 printed on them is: 10 + 10 + 1 = 21.

However, we need to subtract the number of cards with a 6 in both the tens and ones place, since we counted those cards twice: 21 - 1 = 20.

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Answer: $542

Step-by-step explanation:

Given the following :

Selling price of refrigerator = $677.50

Markup = 25% of dealers' cost

Dealers' cost of refrigerator =?

Selling price = Dealers' cost + markup

Markup = 25% of dealers' cost

Let dealers' cost = d

Hence,

Selling price = d + 25% of d

Selling price = d + 0.25d

Selling price of refrigerator = $677.50

Then,

$677.50 = d + 0.25d

$677.50 = 1.25d

d = $677.50 / 1.25

d = $542

The value of ( 5 ( cos 20° + i sin 20° ) )³ is 125 ( 1/2 + i √3/2 )

let z = ( 5 ( cos 20° + i sin 20° ) )³

We know that DeMoivre's theorem

( cos α + i sin α )ⁿ = ( cos n.α + i sin n.α )

z = ( 5 ( cos 20° + i sin 20° ) )³

z = 5³ ( cos ( 3 × 20 )° + i sin ( 3 × 20 )° )

= 125 ( cos 60° + i sin 60° )

= 125 ( 1/2 + i √3/2 )

Hence, the value of ( 5 ( cos 20° + i sin 20° ) )³ is 125 ( 1/2 + i √3/2 )

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Given question is incomplete, the complete question is below

How do you use DeMoivre's Theorem to simplify ( 5 ( cos 20° + i sin 20° ))³

The complex number -4 + 4√3i can be written in a trigonometric form as \(8(cos(-\pi/3) + isin(-\pi/3)).\) Option D.

To convert the complex number to trigonometric form, we need to find its magnitude and argument.

The magnitude (r) can be calculated using the formula r = \(\sqrt(a^2 + b^2),\) where a and b are the real and imaginary parts of the complex number, respectively.

In this case, a = -4 and b = 4√3.

So, r = \(\sqrt((-4)^2 + (4\sqrt3)^2) = \sqrt(16 + 48) = \sqrt64\)

= 8.

The argument (θ) can be found using the formula θ = arctan(b/a). In this case, θ = arctan((4√3)/-4) = arctan(-√3) = -π/3.

Therefore, the complex number -4 + 4√3i can be written in a trigonometric form as \(8(cos(-\pi/3) + isin(-\pi/3)).\) Option D.

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Answer:

No

Step-by-step explanation:

The ratio of the first school is 5/2. The ratio of the second school is 7/8.

Answer:

-21

Step-by-step explanation:

(7)(-3) = 7 x -3 = -21

The Kid Laroi

Answer:

Angle Q = 17°

Step-by-step explanation:

Complementary means the angles add up to 90°

Using this, do 90° - 73°. This equals 17°, giving you Angle Q.

Answer:

Q = 17

Step-by-step explanation:

Complementary angles add to 90 degrees

Q + R = 90

Q +73 = 90

Q = 90-73

Q = 17

Answer:

\(Slope = \dfrac{9}{2}\)

Step-by-step explanation:

The general equation of a line in slope-intercept form is

y = mx + b

where m = slope and b = y-intercept is rise over run

\(m = \dfrac {(y_{2} - y_{1})} {(x_{2} - x_{1})}\)

where (x₁, y₁) and (x₂, y₂) are any two points on the line

For the line passing through (2, 5) and (0, -4) , the slope

\(m = \dfrac{-4 - 5}{0 - 2}\)

\(m = \dfrac{-9}{-2}\)

\(m = \dfrac{9}{2}\)

In decimal that would be m = 4.5

A cross-sectional effect diagram, also known as an axial force-shear force-bending moment diagram or simply an internal force diagram, is a graphical representation that shows the distribution of internal forces (axial force, shear force, and bending moment) along the length of a structural member, such as a beam or column.

To draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure, we need to follow these steps:

Step 1: Identify the type of loadingFor this question, the loading conditions are {N}, {T}, {M}. So, the loading types are axial force, shear force, and bending moment.

Step 2: Draw the cross-sectional diagram of the beam. We need to draw the diagram of the cross-section of the beam in the direction of the forces acting on the beam. In this case, it will be a rectangular beam.

Step 3: Draw the effect diagrams After drawing the cross-sectional diagram, we need to draw the effect diagrams for each loading condition.

The effect diagrams are as follows: 1. Axial force diagram (N):In this case, the axial force is positive (+) which means it is a tensile force. 2. Shear force diagram (T):The shear force is negative (-) from x = 0 to x = 1, which means the shear force is acting downward. It is zero at x = 1 and then becomes positive (+) from x = 1 to x = 2, which means the shear force is acting upward. 3. Bending moment diagram (M):The bending moment is zero at x = 0, becomes negative (-) from x = 0 to x = 1, reaches a minimum at x = 1, and then becomes positive (+) from x = 1 to x = 2.

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The probability that 0 < Z < 2.03 is approximately 0.4788. This means that about 47.88\% of the values in a standard normal distribution are between 0 and 2.03.

To find the probability using a z-score, you need to use a formula that involves subtracting the mean and dividing by the standard deviation of the normal distribution. Then, you can look up the corresponding probability in a z-table, which shows the probability of a value being less than, greater than, or between certain z-scores.¹²

To answer your question, you need to use the formula and the z-table.

The formula for finding a z-score is:

z = \frac{x - \mu}{\sigma}

where x is the value, \mu is the mean, and \sigma is the standard deviation of the normal distribution.

Since you are given that Z follows a standard normal distribution, you can assume that \mu = 0 and \sigma = 1. Therefore, the formula simplifies to:

z = x

To find the probability that 0 < Z < 2.03, you need to find the area under the curve between these two values. You can do this by using the z-table.

First, look up the value 0 in the z-table. You will find that the probability that Z < 0 is 0.5. This means that half of the area under the curve is to the left of 0.

Next, look up the value 2.03 in the z-table. You will find that the probability that Z < 2.03 is 0.9788. This means that most of the area under the curve is to the left of 2.03.

To find the probability that 0 < Z < 2.03, you need to subtract these two probabilities:

P(0 < Z < 2.03) = P(Z < 2.03) - P(Z < 0)

P(0 < Z < 2.03) = 0.9788 - 0.5

P(0 < Z < 2.03) = 0.4788

Therefore, the probability that 0 < Z < 2.03 is approximately 0.4788. This means that about 47.88\% of the values in a standard normal distribution are between 0 and 2.03.

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the complete question is:

Find The Specified Probability. Round Your Answer To Four Decimal Places, If Necessary. P(0<Z&Lt;2.03)

The volume of the cube is 1.82 in³

We know that the formula for the area of the cube, as a function of the volume, is:

A = 326*V^(2/3)

Solving that equation for V, we will get.

V = (A/326)^(3/2)

Then the volume of a cube whose surface area is A = 486 square inches is:

V = (486 in²/326)^(3/2)

V = 1.82 in³

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Answer:

The volume of water in the kiddie pool after 3 hours will be 357 cubic feet (ft³)

Height is the dimension that would relate to water level.

Step-by-step explanation:

The volume of a rectangular prism can be calculated using the formula

\(V = lwh\)

\(V\) is the volume

\(l\) is the length

\(w\) is the width

and \(h\) is the height

From the question,

When the day started the pool was completely full of water, that is, the volume of water in the pool will be the capacity of the rectangular prism kiddie pool.

From the question,

\(l\) = 6 feet

\(w\) = 7 feet

\(h\) = 10 feet

Hence,

\(V = 6 feet \times 7 feet \times 10 feet\)

\(V = 420 cubic feet (ft^{3} )\)

This is the volume of the water in the pool when the day started.

Also, from the question

After 3 hours, the water level had decreased by 1.5 feet, that is the height had decreased by 1.5 feet

Then, the new height is

10 feet - 1.5 feet = 8.5 feet

h = 8.5 feet

Now, to determine the volume after 3 hours

\(V = 6 feet \times 7 feet \times 8.5 feet\)

\(V = 357 cubic feet (ft^{3} )\)

Hence, the volume of water in the kiddie pool after 3 hours will be 357 cubic feet (ft³)

The dimension that would relate to water level will be the height.

To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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Answer:

The answer is 6.082763

Step-by-step explanation:

We use the Distance formula for this problem.

Dividing 3x² + 5x - 2 by 3x - 1 will result to a quotient of x + 2 and a remainder of 0 by application of the long division method

The procedure for long division consists of the following steps:

We shall divide the 3x² + 5x - 2 by 3x - 1 using the long division method as follows;

Step1:

3x² divided by 3x equals x

3x - 1 multiplied by x equals 3x³ - x

subtract 3x³ - x from 3x² + 5x - 2 will result to 6x - 2.

Step2:

6x divided by 3x equals 2

3x - 1 multiplied by 2 equals 6x - 2

subtract 6x - 2 from 6x - 2 will result to a remainder of 0 (zero).

Therefore, by the long division method, we have quotient of x + 2 and a remainder of 0.

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According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.

The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.

Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.

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Answer:

1110

Step-by-step explanation:

888*(1+25%)

=1110

PLS GIVE BRAINLEST

Answer:10

Step-by-step explanation:

Since the p-value is greater than the commonly used significance level of 0.05, we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that union efforts to organize have increased union membership.

We can use a one-sample proportion test to determine if the proportion of union members in the sample is significantly different from the population proportion of 11.3%.

The null hypothesis is that the population proportion is equal to 11.3%:

H0: p = 0.113

The alternative hypothesis is that the population proportion is greater than 11.3%:

Ha: p > 0.113

The sample proportion is P = 58/400

= 0.145

The standard error of the sample proportion is:

SE = √(p*(1-p)/n)

= √(0.113*(1-0.113)/400)

= 0.0197

The test statistic is:

z = (P - p) / SE

= (0.145 - 0.113) / 0.0197

= 1.6244

The p-value for this test is the probability of getting a z-score of 1.6244 or greater, assuming the null hypothesis is true:

p-value = P(Z > 1.6244)

= 0.0515 (using a standard normal distribution table)

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If -4 is a zero with multiplicity 1, then (x + 4) is a factor of the polynomial. Similarly, if 1 is a zero with multiplicity 2, then (x - 1)^2 is a factor of the polynomial. Therefore, we can write the polynomial in factored form as:

f(x) = a(x + 4)(x - 1)^2

where "a" is a constant that we need to determine.

To find "a", we use the fact that f(0) = -12. Substituting x = 0 into the equation above, we get:

f(0) = a(0 + 4)(0 - 1)^2

-12 = -4a

Solving for "a", we get:

a = 3

Therefore, the polynomial is:

f(x) = 3(x + 4)(x - 1)^2

Note that this polynomial has a zero at x = -4 (with multiplicity 1), a zero at x = 1 (with multiplicity 2), and f(0) = -12.

Answer:

4.4

Step-by-step explanation:

Answer:

There are 2/3 of 1/5 cups in 2/15 cups of cookie dough.

Step-by-step explanation:

1/5=3/15

Divide 2/15 by 3/15 using keep, change, flip rules

2/15x15/3=30/45=6/9=2/3

The answer would be 4x^2-7x-6

Introduction:

Probability is a measure of the likelihood that a given event will occur. In this scenario, the event of interest is the fuel tank being empty, given the observation that the battery is flat. Evaluating the probability of this event involves finding the relationship between the fuel tank and the battery, and using this information to calculate the probability that the fuel tank is empty.

Detailed explanation:

To evaluate the probability of the fuel tank being empty given the observation that the battery is flat, we need to use Bayes' theorem. Bayes' theorem states that the probability of event A given event B can be calculated as follows:

P(A|B) = P(B|A) * P(A) / P(B)

Where P(A|B) is the probability of event A given event B, P(B|A) is the probability of event B given event A, P(A) is the probability of event A, and P(B) is the probability of event B.

In this scenario, event A is the fuel tank being empty, and event B is the battery being flat. To calculate the probability of the fuel tank being empty given the battery is flat, we need to find the values of P(B|A), P(A), and P(B).

Suppose we have the following information:

P(A) = 0.1 (the probability that the fuel tank is empty)

P(B|A) = 0.8 (the probability that the battery is flat given that the fuel tank is empty)

P(B) = 0.05 (the probability that the battery is flat)

Using these values, we can calculate P(A|B) as follows:

P(A|B) = P(B|A) * P(A) / P(B) = 0.8 * 0.1 / 0.05 = 0.16

This means that the probability that the fuel tank is empty given the battery is flat is 0.16.

In conclusion, the probability that the fuel tank is empty given that the battery is flat is lower than the probability that the fuel tank is empty, which was 0.1. This suggests that having a flat battery decreases the likelihood that the fuel tank is empty.

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