HELP PLEASE 24 POINTS

Answer:

\(\$6\)

Step-by-step explanation:

Given

See comment for complete question

Required

The difference in the cost of 600 text messages plan

Representing the given data as; Cost to Number of text messages, we have:

\(Dial\ Up = \$5 : 100\)

and

\(Ring\ Ring= \$8 : 200\)

Multiply the dial-up by 6 to get the cost of 600

\(Dial\ Up = \$5 *6 : 100 * 6\)

\(Dial\ Up = \$30 : 600\)

So, the cost of 600 text messages is $30 --- for dial-up

Multiply the Ring Ring by 3 to get the cost of 600

\(Ring\ Ring= \$8 *3: 200*3\)

\(Ring\ Ring= \$24: 600\)

So, the cost of 600 text messages is $24 --- for Ring Ring

The difference (d) is:

\(d = \$30 - \$24\)

\(d = \$6\)

Answer:

LCM(144,90)=\(2^{4} *9*5=16*5*9=80*9=720\)

GCD(144,90)=2*\(3^{2}\)=18

Step-by-step explanation:

144=\(2^{4} *3^{2}\)

90=\(2*3^{2} *5\)

Answer:

12 I believe

Step-by-step explanation:

\(12\sqrt{2}\) x sin(45) = 12

I am pretty positive I am correct, I am sorry if I am off a little

Answer:

GREAT question i have no idea

Step-by-step explanation:

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them. So the monthly charge for Danielle's cable bill is $5.

Danielle pays a monthly charge of $69 for her cable bill.

She also pays a fee every time she watches a movie on demand.

Last month Danielle watched 7 movies on demand, and her total monthly bill was $104.

We have to find the monthly charge for Danielle's cable bill to choose.

Remove the monthly fee of 69 dollars for cable service from the total of 104 dollars, then check the statement to see that there is still a mystifying 35 dollars on it.

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them, giving you the result of $5 per on-demand movie.

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the cost of an apothecary pound of the same chemical would be Php 1.92. None of the provided options match this value, so the correct answer is not listed.

To find the cost of an apothecary pound of the same chemical, we need to determine the cost per pound.

The given information states that 250 pounds of the chemical cost Php 480. To find the cost per pound, we divide the total cost by the total weight:

Cost per pound = Total cost / Total weight

Cost per pound = Php 480 / 250 pounds

Calculating this, we get:

Cost per pound = Php 1.92

Therefore, the cost of an apothecary pound of the same chemical would be Php 1.92. None of the provided options match this value, so the correct answer is not listed.

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The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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Based on the given simple statements, "The scroll is open" and "The writings are visible," we can determine which compound statements would also be true.

The scroll is not open or the writings are visible.

This compound statement would be true. Since the first simple statement states that the scroll is open, the negation of this statement would be that the scroll is not open. The second simple statement states that the writings are visible, which aligns with this compound statement. Therefore, this compound statement is true.

The scroll is open or the writings are not visible.

This compound statement would not be true. Both simple statements state that the scroll is open and the writings are visible. So, the second part of this compound statement contradicts the given information.

The scroll is open or the writings are visible.

This compound statement would be true. It directly matches the given simple statements, where both the scroll being open and the writings being visible are mentioned. Therefore, this compound statement is true.

The scroll is not open or the writings are not visible.

This compound statement would not be true. Both simple statements state that the scroll is open and the writings are visible. So, neither part of this compound statement aligns with the given information.

The compound statements that would be true are:

The scroll is not open or the writings are visible.

The scroll is open or the writings are visible.

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To count the number of distinct islands in a non-empty 2D array grid of 0's and 1's, we need to first identify the islands. An island is a group of 1's that are connected 4-directionally. We can use depth-first search or breadth-first search to identify the islands.

Once we have identified the islands, we need to check if they have the same shape or not. To check the shape of an island, we can use a hash function that takes into account the shape of the island. The shape of an island can be represented as a sequence of directions that we follow to traverse the island. For example, if we start at the top-left corner of the island and traverse it in a clockwise direction, the shape of the island can be represented as "up-right-down-left".

To check if two islands have the same shape, we can compare their hash values. If the hash values are the same, the islands have the same shape. However, we also need to consider the rotations and reflections of the islands. To handle rotations, we can generate all possible rotations of an island (90, 180, and 270 degrees) and compute their hash values. To handle reflections, we can flip the island horizontally and vertically and compute their hash values. We can then compare the hash values of the original island with the hash values of the rotated and reflected islands to determine if they have the same shape or not.

Finally, to count the number of distinct islands, we can store the hash values of all the islands in a set. The size of the set gives us the number of distinct islands.

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Answer:

Answer= 45 units

Step-by-step explanation:

lengths = 3 units

width = 3x5= 15 units

area= length times width= 3x15= 45 units!

Hope this helps :)

Compound amount due in 8 year will be 495192.64

What do you mean by simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Simple interest is a predetermined proportion of the principle amount borrowed or lent that is paid or received over a set period of time.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Given principal, P = 2000000

Rate of interest, r  = 12%

Time period , n  = 8 years

Compound amount = \(P(1+\frac{r}{100})^n\)

= \(200000(1+\frac{12}{100})^8\)

= \(200000(1+0.12)^8\)

= \(200000(1.12)^8\)

= 495192.64

Therefore, compound amount due in 8 year will be 495192.64

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Answer:

-43/50

(decimal) = -0.86

Step-by-step explanation:

Find the LCD which is 50.

16/25 will be multiplied by 2 (because 25 x 2 = 50) so it will then equal 32/50

3/2 will be multiplied by 25 (2 x 25 = 50) = 75/50

subtract them which will give you -43/50

The equation of the tangent line to the path of the particle at t = 2 is (option) b. y = x - 3.

To find the equation of the tangent line at t = 2, we need to find the values of x(2) and y(2) and the slopes of the tangent line. From the given parametric equations, we have:

x(t) = -ln(t) + C1

y(t) = -2/t + C2

where C1 and C2 are constants of integration. To find C1 and C2, we use the initial conditions x(2) = 1 and y(2) = -2:

1 = -ln(2) + C1

-2 = -2/2 + C2

C1 = 1 + ln(2)

C2 = -1

Differentiating x(t) and y(t) with respect to t, we get:

dx/dt = -1/t

dy/dt = 4/t^3

At t = 2, we have dx/dt = -1/2 and dy/dt = 1/4. The slope of the tangent line is given by dy/dx, which is:

dy/dx = (dy/dt)/(dx/dt) = (-1/4)/(-1/2) = 1/2

Therefore, the equation of the tangent line at t = 2 is:

y - (-2) = (1/2)(x - 1)

y = x - 3

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Answer:42

Step-by-step explanation:

V= 18 + 6(4)

V= 18 + 24

V= 42

Answer:

v=42

Step-by-step explanation:

you plug in the numbers that cordinate with each letter and you get v=18+6(4)

and then solve the equation from there starting with multiplying 6 and 4 to get 24 and then adding it to 18 which gets you 42

The amount of work needed to stretch the spring 18 in. from its natural position is 3.75  ft-lb.

According to the Hooke's Law, the work done on the spring is:

W = 1/2. k . x²

Where:

k = spring constant

x = displacement.

Notice that the work done is directly proportional to x².

Hence,

W₁ : W₂  = x₁² : x₂²

Parameters given:

W₁ = 15 ft-lb

x₁ = 3 ft

x₂ = 18 in. = 1.5 ft

Plug the above parameters into the ratio equation:

15 : W₂  = 3² : (1.5)²

W₂ = (1.5)² . 15 /  3² = 15/4 = 3.75  ft-lb

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The angle subtended at the center of the arc is 102⁰

Recall that to find the length of an arc on a circle, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.  If the central angle is measured in degrees, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.

Lenght of arc = A/360 *2пr

A = angle at center = ?

п = 22/7 r = radius = 840 feet

⇒1500 = A/360  2 *22/7 * 840

1500 = 36960A/2520

3780000= 36960A

making A the subject we have

3780000/36960 = A

A = 102.27

A= 102⁰

The angle is 102⁰

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Answer:

The answers to your questions are given below.

Step-by-step explanation:

Polynomial 1:

12x² + 23x – 2

Name by degree: Quadratic because the highest power in the equation is 2.

Polynomial 2:

7x + 2

Name by number of terms: Binomial because the equation has two terms

Polynomial 3:

12

Name by degree: Constant because it has no variable

Name by number of terms: Monomial because it has only one term.

An equation for the nth term of the arithmetic sequence: an =  n - 6.

ad 10th term a10 = 4.

The formula for the nth term of the

an = a + (n -1)d

In which,

The arithmetic sequence is given as-

−5,−4,−3,−2, ...

Then, the equation will be

d = a2 - a1

d = -4 - (-5) = 1

an = a + (n -1)d

an = -5 + n - 1

Put n = 10 in the equation.

a10 = 10 - 6

a10 = 4

Thus, the 10th term of the sequence is 4.

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The correct question is-

Write an equation for the nth term of the arithmetic sequence. Then find a10.

−5,−4,−3,−2, ...

Answer:

15

Step-by-step explanation:

2 + 13 = 15

15( 3 ) = 45

45-35= 15

The grocer used 10 lbs of $3.00 per pound trail mix and 5 lbs of $1.50 per pound trail mix.

Algebra, a discipline of mathematics where abstract symbols rather than concrete numbers are subjected to arithmetic operations and formal transformations.

As per the given data:

Cost of one trail mix = $3.00 per pound

Cost of another trail mix = $1. 50 per pound

The grocer makes 15 lb of trail mix that costs $2.50 per pound.

Let's assume the grocer used 'A' pounds of $3.00 per pound trail mix and 'B' pounds of  $1. 50 per pound trail mix.

Total quantity of $2.50 per pound trail mix = 15 lb

Now, from the given data,

A + B = 15 ...(i)

Also, the total cost is going to remain the same.

3A + 1.5B = 15 × 2.50

3A + 1.5B = 37.5 ...(ii)

Using eq(i) A = 15 - B

Substituting in (ii):

3(15 - B) + 1.5B = 37.5

45 - 3B + 1.5B = 37.5

B = 7.5/1.5

B = 5

and A = 10

The grocer used 10 lbs of $3.00 per pound trail mix and 5 lbs of $1.50 per pound trail mix.

Hence, The grocer used 10 lbs of $3.00 per pound trail mix and 5 lbs of $1.50 per pound trail mix.

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Answer:

Nominal decisions can be broken into two distinct categories: dichotomous decisions and polychotomous decisions.

Answer: 216 times

Step-by-step explanation:

18 * 12

Both you and your neighbor drive approximately 8,400 miles on highways per year. This is calculated by multiplying the total annual mileage of 12,000 miles by the percentage of highway driving, which is 70%.

To calculate the number of miles driven on highways for both you and your neighbor, follow these steps:

Step 1: Calculate 70% of 12,000 miles to find the number of miles driven on highways for each person.

70% of 12,000 miles = 0.70 × 12,000 = 8,400 miles

Step 2: Explain the result.

Both you and your neighbor drive approximately 8,400 miles on highways each year since 70% of their total annual mileage (12,000 miles) is on highways.

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--The given question is incomplete, the complete question is given below " If both the neighbor and you drive around 12,000 miles per year and drive 70% of their miles on highways, calculate the number of miles driven on highways? Explain your result."--

To maximize the total points earned, each question should be allotted 22 seconds.

The given problem discusses the reallocation of time to maximize total points earned if the exam could be taken again. The key concept to maximize total points earned when dealing with limited time is the points per unit time or points per second, which is the amount of points earned divided by the time spent. By making the points per second equal for both questions, we ensure that the time allotted for each question is being used most effectively to maximize the total points earned.

To solve the problem, let's assume that the total time spent on each question is x seconds. For Question 1, the total points earned is 48, extra points earned in the last few seconds is 4, and effective points earned in x seconds is 48 - 4 = 44. The points per second for Question 1 is (44/x). For Question 2, the total points earned is 12, extra points earned in the last few seconds is 10, and effective points earned in x seconds is 12 - 10 = 2. The points per second for Question 2 is (2/x).

To reallocate the time, the points per second for both questions should be equal. Setting the two expressions equal to each other and solving for x yields (44/x) = (2/x). Simplifying this expression gives us 44 = 2x, which results in x = 22. Therefore, to maximize the total points earned, each question should be allotted 22 seconds.

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The 40th term of the arithmetic sequence (a) will be -183 and the 60th term of the arithmetic sequence (b) will be 242

An arithmetic sequence in algebra is a sequence of numbers where the difference between every two consecutive terms is the same.

a) Given that, an arithmetic sequence has a 2nd term equal to 7 and 8th term equal to -23, we need to find the term of the sequence that has value -183.

We know that,

aₙ = a+(n-1)d

Where, aₙ = nth term, d = common difference, a = first term and n = number of terms.

Therefore,

7 = a+(2-1)d

7 = a+d

a = 7-d....(i)

Similarly,

-23 = a+(8-1)d

-23 = a+7d

a = -7d-23....(ii)

Equating the RHS of the equations,

7-d = -7d-23

30 = -6d

d = -5

Put d = -6 in eq(i)

a = 7-(-5) = 12

Now,

-183 = 12+(n-1)(-5)

-183 = 12-5n+5

-183-17 = -5n

n = 40

Therefore, 40th term will be -183

b) Given that, an arithmetic sequence has a 6th term equal to 26 and 9th term equal to 38, we need to find the 60th term

We know that,

aₙ = a+(n-1)d

Where, aₙ = nth term, d = common difference, a = first term and n = number of terms.

26 = a+5d

a = 26-5d...(i)

38 = a+8d

a = 38-8d....(ii)

Equating the RHS of the equations,

26-5d = 38-8d

3d = 12

d = 4

Put d = 4 in eq(i)

a = 26-5(4)

a = 6

Therefore,

a₆₀ = 6+(60-1)(4)

= 242

Hence, the 40th term of the arithmetic sequence (a) will be -183 and the 60th term of the arithmetic sequence (b) will be 242

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Answer:

15.9cm

Step-by-step explanation:

It should be noted that 15 centimeter and nine millimeter will be 15.9 centimeters.

Answer:

15.9 cm

Step-by-step explanation:

9 mm = 0.9 cm

15 + .9 = 15.9 cm

The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.

Let's assume John has 'x' amount of  money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'

So,

p = x - 80x/100                (equation 1)

q = y - 75y/100                (equation 2)

According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.

p = q

x- 80x/100 = y - 75y/100

x - 0.8x = y - 0.75y

0.2x = 0.25y

x =  0.25y/0.2

x/y = 0.25/0.2

x/y = 25/20

x/y = 5/4

Hence, the ratio of John's money to Peter's money is 5/4.

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Usually the one with the more vertical line would be steeper.

Answer:

Do you have a picture?

Step-by-step explanation:

Reason:

0.8 is the same as 0.80

Subtract the values to get 0.80 - 0.58 = 0.22

You can think of it like saying 80-58 = 22, then you place a decimal point before each of the three values.