After w weeks, you have (10w +120) dollars in your bank account, how much money do you have after 5 weeks?
Please help me!!!!

Answer:

x = -4

Step-by-step explanation:

5/3x + 4 = 2/3x

5/3*(-4) + 4 = 2/3*(-4)

8/3 = 8/3

The new size of the hash table will be 29 after resizing a hash table with 13 buckets.

Hence, the correct option is B.

if we assume that the new size is one of the options provided, we can apply the same reasoning as in the previous answer.

Starting with the old size of 13, we can try doubling it to get 26. However, 26 is not a prime number, so we need to keep looking. The next prime number after 26 is 29, which looks like a good choice.

Therefore, the answer is (B) 29, if that is indeed one of the options provided.

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Answer:

The absolute value is the distance between a number and zero. The distance between −7 - 7 and 0 0 is 7 7 . 7 7. |−7| | - 7 | ...

Step-by-step explanation:

The work done by a force can be calculated by taking the dot product of the force vector with the displacement vector whether the force and displacement vectors are consecutive or anti-congruent.

The formula of the dot product is-

A ⋅ B = |A| |B| cos(θ)

Here A and B are the vectors  |A| and |B| which represent their magnitudes, and θ is the angle between them.

The angle between the force and displacement vectors is either 0 degrees (cos(0) = 1) or 180 degrees (cos(180) = -1) depending on whether they are parallel or antiparallel. The dot product becomes: in these circumstances.

A ⋅ B = |A| |B| (1) = |A| |B| (cos(0)) = |A| |B|

When the vectors are parallel or antiparallel, the angle is 0 or 180 degrees, respectively, and the cosine term is 1 or -1. This occurs since work done is defined as the dot product of the force and displacement vectors multiplied by the cosine of the angle between them.

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Answer: Solution

=

−

9

Step-by-step explanation:

Answer:

answer is x = -9

Step-by-step explanation:

2x+2=x-7

x= -9

(a) Matrix for relation R {(a, b) | a > b} has 4950 nonzero entries.

(b) Matrix for relation R {(a, b) | b - a = 51} has 49 nonzero entries.

(c) Matrix for relation R {(a, b) | ab is a multiple of 3} has 5644 nonzero entries.

Let's analyze each relation separately to determine the number of nonzero entries in the corresponding matrix.

(a) Relation R: {(a, b) | a > b}

In this case, for every pair (a, b) in the relation, a must be greater than b. We need to count the number of such pairs.

Since the set A consists of the first positive 100 integers, we have 100 choices for a. For each a, there are (a - 1) choices for b (all the integers less than a). Thus, the number of pairs (a, b) satisfying a > b is:

Number of pairs = 99 + 98 + ... + 1 = (99 × 100) / 2 = 4950

Therefore, the matrix representing relation R has 4950 nonzero entries

(b) Relation R: {(a, b) | b - a = 51}

In this case, for every pair (a, b) in the relation, the difference between b and a is 51. We need to count the number of such pairs.

Since the set A consists of the first positive 100 integers, we can choose a from 1 to 49 (inclusive), as for any greater than 49, b would exceed 100.

Thus, the number of pairs (a, b) satisfying b - a = 51 is:

Number of pairs = 49

Therefore, the matrix representing relation R has 49 nonzero entries.

(c) Relation R: {(a, b) | ab is a multiple of 3}

In this case, for every pair (a, b) in the relation, the product of a and b must be a multiple of 3. We need to count the number of such pairs.

Since the set A consists of the first positive 100 integers, we have 100 choices for both a and b.

To calculate the number of pairs (a, b) satisfying ab is a multiple of 3, we need to exclude the pairs where both a and b are not multiples of 3.

Number of pairs = (100 × 100) - (66 × 66) = 10000 - 4356 = 5644

Therefore, the matrix representing relation R has 5644 nonzero entries.

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Answer:

BC can be found after A and before D lol jkjk the answers 2.3

Step-by-step explanation:

sin(50°) = d / 3

sin(50°) = 0.766

0.766 = d / 3

Start with:

0.766 = d / 3

Swap sides:

d / 3 = 0.766

Multiply both sides by 3:

d = 0.766 x 3  

Calculate:

d = 2.298

So BC = 2.298

Round to 2.3

Answer:

Answer:to find BC. u use sine because it is opposite divided by hypotenuse.

Answer:to find BC. u use sine because it is opposite divided by hypotenuse. sine50=?/3

Answer:to find BC. u use sine because it is opposite divided by hypotenuse. sine50=?/3=2.298=2.30 to the nearest hundredth

The sum of the series is S = 20+80x^2 + 320x^3 +1280x^4+.....  rewritten as S = 20 / (1 - 4x⁻¹) converges for he values  |x⁻¹| < 1/4

To obtain what values of the variable the series converge and use the properties of the geometric series to find the sum of the series when it converges, we have to first look at the series given: 20 + 80x² + 320x³ + 1280x⁴ + .........Let's take the first three terms of the series: a₁ = 20a₂ = 80x²a₃ = 320x³

To find the ratio r, let's divide the second term by the first and the third term by the second:a₂/a₁ = (80x²)/20 = 4x²a₃/a₂ = (320x³)/(80x²) = 4x We notice that the ratio r is constant and equal to 4x⁻¹.

Now we can determine the conditions for which the series converges. Condition for the convergence of a geometric series:|r| < 1|r| = |4x⁻¹| < 1|r| = 4|x⁻¹| < 1|r| = |x⁻¹| < 1/4 Therefore, the domain of the series is the set of all x for which |x⁻¹| < 1/4. Since x cannot be zero, we exclude x = 0 from the domain. Then, the domain is obtained by taking the reciprocal of the inequality and inverting the sign:|x⁻¹| < 1/4⇔ - 1/4 < x < 1/4⇔ x ∈ (-1/4, 1/4)

Finally, we can use the formula for the sum of a finite geometric series to find the sum of the given series:S = a₁ (1 - rⁿ) / (1 - r)where n is the number of terms in the sum. Since we have an infinite series, we can take the limit as n approaches infinity:S = a₁ / (1 - r) = 20 / (1 - 4x⁻¹) for |x⁻¹| < 1/4Therefore, the sum of the series is S = 20 / (1 - 4x⁻¹) when the series converges for |x⁻¹| < 1/4.

Answer:

\(( \sec \theta - \tan \theta)( \sec \theta + \tan \theta)\)

from difference of two squares:

\({ \boxed{ \tt{( {a}^{2} - {b}^{2}) = (a - b)(a + b) }}}\)

\( = { \sec }^{2} \theta - { \tan}^{2} \theta \\ = (1 + { \tan}^{2} \theta) - { \tan}^{2} \theta \\ = 1\)

hence proved

Answer:

6

Step-by-step explanation:

2+5=7

21/7=3

2 x 3=6

The ratio is 6:15

The number of chefs is 6

Use the translation formula to determine the new points.

A' → \((5 + 4, -8 + 2) = (9, -6)\)

B' → \((1 + 4, -1 + 2) = (5, 1)\)

C' → \((-7 + 4, -3 + 2) = (-3, -1)\)

A' = (9, -6)

B' = (5, 1)

C' = (-3, -1)

The new coordinates are obtained as  A'(-4, 7), B'(3, 1) and C'(-3, -1) respectively.

The graph of a function can be transformed by either shifting it in the right, left, up or down.

When the transformation is rightwards, the function becomes as f(x - a).

For left shifting it is f(x + a).

And, for up and down shift it is a + f(x) and a - f(x) respectively.

The new coordinates after the transformation is given as follows,

Apply the given transformation (x,y) → (x + 4,y + 2) as below,

The coordinates of A' are (-8 + 4, 5 + 2)  = (-4, 7).

The coordinates of B' are (-1 + 4, -1 + 2)  = (3, 1).

The coordinates of C' are (-7 + 4, -3 + 2)  = (-3, -1).

Hence, the coordinates after the transformation become as A'(-4, 7), B'(3, 1) and C'(-3, -1).

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Adding one more worker to the plant will result in a savings of approximately $78.05 per month.

To find dy/dx, we need to take the partial derivative of P with respect to y, keeping x constant, and then divide by the partial derivative of P with respect to x, keeping y constant.

Taking the partial derivative of P with respect to y, we get:

∂P/∂y = 0.3x^0.7y^(-0.7)

Keeping x constant at x=100 and y=300,000, we have:

∂P/∂y = 0.3(100)^0.7(300,000)^(-0.7) ≈ 0.000164

Taking the partial derivative of P with respect to x, we get:

∂P/∂x = 0.7x^(-0.3)y^0.3

Keeping y constant at y=300,000 and x=100, we have:

∂P/∂x = 0.7(100)^(-0.3)(300,000)^0.3 ≈ 0.0128

Therefore, dy/dx at x=100 and y=300,000 is:

dy/dx = (∂P/∂y)/(∂P/∂x) ≈ (0.000164)/(0.0128) ≈ 0.0128/0.000164 ≈ 78.05

So, dy/dx ≈ $78.05 per worker.

Interpretation: The result means that for Snappy Hardware to maintain a constant production rate, it needs to decrease its monthly budget by approximately $78.05 for each additional worker it hires at an employment level of 100 workers and a monthly operating budget of $300,000.

In other words, adding one more worker to the plant will result in a savings of approximately $78.05 per month.

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Drawing a 10 from the bag      unlikely

Rolling a number less than 5   Likely

Drawing a red marble             equally likely and unlikely

Here is the completed frequency table:

Number       frequency

1                       9

2                    12

3                    10

4                    8

5                    5

6                     6

Hiro's prediction is likely.

Probability determines the odds that a random event would happen. If the probability value is 0.5, it is equally likely and unlikely that the event would happen. If it is less than 0.5, it is unlikely that the event would happen. If it is greater than 0.5, it is likely that the event would happen.

Probability of drawing a 10 = number of 10s in the bag / total number in the bag = 1/100 = 0.01

It is unlikely that you would draw a 10.

Probability of rolling a number less than 5 = numbers that are less than 5 / total number of sides =  4/6 = 0.67

It is likely that a number less than 5 would be rolled.

Probability of drawing a red marble = total number of red marbles / total number of marbles = 8 / 16 = 0.5

It is equally likely and unlikely that a red marble would be picked

In order to determine the frequency, if the denominator of the relative frequency of the number is equal to 50, then the numerator is equal to the frequency. In the case where the denominator is less than 50, divide 50 by the number, multiply the quotient by the numerator in order to determine the frequency.

The frequency of 2 = (50 / 25) x 6 = 12

Number       frequency

1                       9

2                    (6 x 2) 12

3                    (1 x 10) 10

4                    (4 x 2) = 8

5                    (1 x 5) 5

6                     (3 x 2) 6

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The probability that the doors were left open given that a garage was robbed is 0.625 or 62.5%.

To find the probability that the doors were left open given that a garage was robbed, we can use Bayes' theorem.
Let's assign some variables to the given information:
- Let O represent the event that the doors were left open.
- Let R represent the event that the garage was robbed.
We are given the following probabilities:
- P(O) = 1/4 (since one-fourth of the residents leave their garage doors open)
- P(R|O) = 5% or 0.05 (since 5% of the garages with open doors will have something stolen)
- P(R|not O) = 1% or 0.01 (since 1% of the garages with closed doors will have something stolen)
We want to find P(O|R), the probability that the doors were left open given that a garage was robbed.
Using Bayes' theorem, we have:
P(O|R) = (P(O) * P(R|O)) / (P(O) * P(R|O) + P(not O) * P(R|not O))
Substituting the given probabilities, we get:
P(O|R) = (1/4 * 0.05) / (1/4 * 0.05 + 3/4 * 0.01)
Simplifying the equation, we have:
P(O|R) = 0.0125 / (0.0125 + 0.0075)
P(O|R) = 0.0125 / 0.02
P(O|R) = 0.625
Therefore, the probability that the doors were left open given that a garage was robbed is 0.625 or 62.5%.

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Answer:

d

Step-by-step explanation:

I am pretty sure that is the answer

A function assigns the values. The value of (f +g)(x) for the two given functions f(x)=5x³+2x²–7x+4 and g(x)=3x–7 is 5x³ + 2x² – 4x – 3. The correct option is D.

A function assigns the value of each element of one set to the other specific element of another set.

Given the two functions such as,

f(x) = 5x³ + 2x² – 7x + 4

g(x) = 3x – 7

Now, the value of (f +g)(x) is the value of the function which is produced when the two of the given function are added together, therefore, the value of the added function can be written as,

(f +g)(x) = f(x) + g(x)

(f +g)(x) = (5x³ + 2x² – 7x + 4) + (3x – 7)

            = 5x³ + 2x² – 7x + 4 + 3x – 7

             = 5x³ + 2x² – 4x – 3

Hence, the value of (f +g)(x) for the two given functions f(x)=5x³+2x²–7x+4 and g(x)=3x–7 is 5x³ + 2x² – 4x – 3.

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We should choose Formulas as X in the given series of clicks to calculate formulas automatically.

File < Options < (A) Formulas < Automatic

We should choose Formulas as X in the given series of clicks to calculate formulas automatically.

Therefore, File < Options < (A) Formulas < Automatic

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The complete question is given below:

What would you choose as X in the given series of clicks to calculate formulas automatically: File < Options < X < Automatic?

a. Formulas

b. Language

c. Proofing

d. Advanced

Answer:

l= 28 feet

b = 2 feet

Step-by-step explanation:

The perimeter of a rectangle is given by;

P= 2(l + b)

Comparing this to the equation; 8x + 4 = 60, i can write;

2(4x + 2) = 60

This means that;

l = 4x

b = 2

but x =7

So;

l = 4* 7 = 28 feet

b = 2 feet

Step-by-step explanation:

I don't understand the question

Answer:

a feminine noun is almost always used with feminine articles and adjectives

If In a class of 29 students, 19 are female and 14 have an A in the class then 2 male students have an A in the class.

We can calculate the number of students who are male and have an A in the class by subtracting the given values from the total number of students.

Total students = 29

Female students = 19

Male students = Total students - Female students = 29 - 19 = 10

Students with an A = 14

Male students without an A = 8

To calculate the number of male students with an A, we subtract the number of male students without an A from the total number of male students.

Male students with an A = Male students - Male students without an A = 10 - 8 = 2

Therefore, there are 2 male students who have an A in the class.

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Answer:

$187.5

Step-by-step explanation:

25% of $750 = $187.5!

All I had to do was divide 750 by 4 and got my answer. You can also double check by multiplying 187.5 by 4 and you'll get the same answer.

The 11-4 skills practice areas of regular polygons and composite figures involve finding the areas of different geometric shapes using specific formulas and methods.

To find the area of regular polygons, you can use the formula (1/2) x apothem x perimeter.

For composite figures, you can break the shape into smaller, more manageable shapes like rectangles, triangles, or circles, and then calculate the area of each component before adding them together.

Hence, The 11-4 skills practice areas of regular polygons and composite figures teach you to find areas using the appropriate formulas and methods, improving your geometry understanding and problem-solving abilities.

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According to the design, both the PokerHand and BlackjackHand classes may, but are not required to override the methods of the parent Hand class. The Hand class provides the basic functionality for a player's hand of cards, such as adding cards to the hand, calculating the total value of the hand, and displaying the cards in the hand.

However, since Poker and Blackjack have their own unique rules and gameplay mechanics, the PokerHand and BlackjackHand classes may need to override certain methods to tailor them to their specific game.

For example, in Blackjack, the value of an Ace card can be either 1 or 11 depending on the situation, so the BlackjackHand class may need to override the calculateTotalValue method to take this into account.

Additionally, both the PokerHand and BlackjackHand classes may choose to override the toString method to display the hand in a way that makes sense for their respective game. For instance, in Poker, players often refer to their hand by its ranking, such as "two pair" or "flush", so the PokerHand class may choose to display the hand in this way.

Overall, while the Hand class provides a foundation for both PokerHand and BlackjackHand, allowing them to inherit common functionality, the ability to override certain methods allows them to adapt to the specific rules and requirements of their respective games.

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The RACI matrix is the Responsible, Accountable, Consult & Inform matrix. It is a tool used in project management to clearly define the roles and responsibilities of team members in relation to a project.

c. Responsible, Accountable, Consult & Inform matrix

The RACI matrix is a tool used in project management to clearly define roles and responsibilities. It stands for Responsible, Accountable, Consulted, and Informed. Assigning these roles to individuals or teams, it ensures efficient allocation of resources and effective communication throughout the project.

The matrix identifies who is Responsible for a task, who is Accountable for its completion, who needs to be Consulted before decisions are made, and who needs to be Informed about progress. This helps to avoid confusion and ensure that resources are allocated appropriately, which can ultimately impact the cost of the project.

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Answer:

23

Step-by-step explanation:

multiply the cost by 3

Answer:

£21

Step-by-step explanation:

Use ratios! Amount of trifle: Amount of money

2:7

*3 *3

6:21

£21

The speed of the faster cyclist is 14\ miles/hr.

What is speed?

It is the average distance coverd in unit time. It is also defined as the rate of change of distance with respect to time.

Since the speed of the first cyclist is double than the second cyclist hence, the first cyclist will cover the double distance than the second cyclist. Consider the first cyclist covers 2s distance and first cyclist covers s distance. The sum of these two distances should be 42 miles. Hence,

\(2s+s=42\\3s=42\\s=14\)

Now, distance coverd by the first cyclist is \(2s=2\times 14\\=28 \ $miles\).

Now, both the cyclists meet after 2 hr hence, time taken by the first cyclist is 2 hr.

\(Speed=\frac{Total\ distance}{Total\ time}\\=28\ miles/2 \ hr\\=14\ miles/hr\)

Hence, the speed of the faster cyclist is 14\ miles/hr.

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According to the word problem question;

If the salesperson earns 9 percent commission on sales;

In essence, 9/100 of the sales proceedings belongs to the salesperson.

Mathematically; the equation for the amount he or she earns in commission is;

Consequently, if the amount sold is $6,000;

The amount he or she earns in commission is;

c = $540.

The answer in ordered pair form is therefore;

(s,c) = ($6000, $540)

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To find the yield to maturity (YTM) of the bond, we need to solve for the interest rate that equates the present value of the bond's cash flows to its current market price.

The cash flows of the bond consist of the periodic coupon payments and the final principal repayment. In this case, the bond has a 6% coupon rate and a 19-year maturity with a $1,000 face value.

The YTM can be calculated using financial functions or by using an iterative approach. Here, I will demonstrate the iterative approach using the Newton-Raphson method to solve for YTM:

Step 1: Set the parameters and initial guess

Face value (F) = $1,000

Coupon rate (C) = 6% = 0.06

Maturity (N) = 19 years

Market price (P) = $986

Initial guess for YTM (r) = 0.06 (6%)

Step 2: Set up the equation to solve

The present value of the bond's cash flows can be calculated as follows:

P = C * (1 - \((1 + r)^{(-N)}\)) / r + F / \((1 + r)^N\)

Step 3: Iterate to find the YTM

Use the Newton-Raphson method to iteratively solve for YTM until the equation is satisfied.

Repeat the following steps until convergence is achieved:

   Calculate the present value of the bond's cash flows using the current YTM guess.

   Calculate the derivative of the equation with respect to YTM.

   Update the YTM guess using the formula:\(r_new = r - (P - calculated_present_value) / derivative\)

Continue iterating until the difference between the current and previous YTM guesses is negligible (i.e., convergence is achieved).

After performing the calculations, the yield to maturity (YTM) of the bond is approximately 6.11%.

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Answer:

8(x + 6) = 144

Step-by-step explanation:

We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:

? = 144

Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.

Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:

x + 6 = 144

Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:

8(x + 6) = 144

Answer:

2

Step-by-step explanation:

Lines that are parallel have the same slope.