The code segment that assigns bonus correctly for all possible integer values of score is D, which uses nested if statements to implement the game's rules for assigning a value to bonus based on the value of score.
The code segment that assigns bonus correctly for all possible integer values of score is D:
IF(score < 50)
{
bonus ← Ø
}
ELSE
{
IF (score > 100)
{
bonus ← score (10)
}
ELSE
{
bonus ← score
}
}
This code segment correctly implements the rules for assigning a value to bonus based on the value of score. It first checks if score is less than 50, and if so, it assigns 0 to bonus. If score is greater than or equal to 50, it checks if score is greater than 100, and if so, it assigns 10 times score to bonus. Otherwise, it assigns score to bonus. This covers all possible integer values of score and ensures that bonus is assigned correctly according to the game's rules.
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Complete question is in the image attached below
An island is located 48 miles N23°38'W of a city. A
freighter in distress radios its position as N11°26'E of the
island and N12° 16'W of the city. How far is the freighter
from the city?
The freighter is approximately 164.33 miles from the city.
How to determine how far is the freighter from the city?We can use the Law of Cosines to solve this problem. Let's label the distances as follows:
d: distance between the city and the freighter
x: distance between the city and the island
y: distance between the island and the freighter
First, we need to find x using the given coordinates:
N23°38'W is equivalent to S23°38'E, so we have:
cos(23°38') = x/48
x = 48cos(23°38') ≈ 42.67 miles
Next, we can use the coordinates of the freighter to find y:
N11°26'E is equivalent to E11°26'N, and N12°16'W is equivalent to S12°16'E. This means that the angle between the island and the freighter is:
23°38' + 11°26' + 12°16' = 47°20'
cos(47°20') = y/d
We can rearrange this equation to solve for y:
y = dcos(47°20')
Now we can use the Law of Cosines to solve for d:
d² = x² + y² - 2xy cos(90° - 47°20')
d² = 42.67² + (d cos(47°20'))² - 2(42.67)(d cos(47°20')) sin(47°20')
d² = 1822.44 + d² cos²(47°20') - 2(42.67)(d cos(47°20')) sin(47°20')
d² - d² cos²(47°20') = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')
d² (1 - cos²(47°20')) = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')
d² sin²(47°20') = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')
d² = (1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')) / sin²(47°20')
d ≈ 164.33 miles
Therefore, the freighter is approximately 164.33 miles from the city.
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What is the meaning of "\(F=\left \{ (x,y):\varphi (x,y,p) \right \}\)"?
The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.
The expression "F = {(x, y) : φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function φ, which takes the variables x, y, and p as inputs.
To fully understand the meaning of F, we need to delve into the function φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.
For instance, let's consider a specific example where vraphi(x, y, p) is defined φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.
It is important to note that the specific meaning and implications of F heavily rely on the nature of the function φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.
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what is x- 2 1/2 = 6 3/4
Answer:
3 2/2
Step-by-step explanation:
Which is equivalent to cos^-1(0) answer in radian
Answer:
Step-by-step explanation:
cos ^-1(0)=(2n+1) π/2
where n is an integer.
if 0 ≤α ≤2 π
n=0,1
cos ^-1(0)=π/2,3π/2
To factor 4x^2-25, you can first rewrite the expression as:
a. (2x-5)^2
b. (2x)^2-(5)^2
c. (x)^2-(2)^2
d. None of the above
To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).
In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:
b. (2x)^2 - (5)^2
Using the difference of squares formula, we can factor it as follows:
(2x + 5)(2x - 5)
Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.
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A hat contains 35 marbles. Of them, 20 are red and 15 are green. If one marble is randomly selected out of this hat, what is the probability that this marble is red? Round your answer to two decimal places. P(A) =
Answer:
P(A) = 0.57 (rounded to two decimal places).
Step-by-step explanation:
The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:
P(red) = number of red marbles / total number of marbles
P(red) = 20/35
We can simplify this fraction by dividing both the numerator and denominator by 5:
P(red) = 4/7
So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.
Therefore, P(A) = 0.57 (rounded to two decimal places).
Shamin Jewelers sells diamond necklaces for $442 less 10%. Jewelers offers the same necklace for $527 less 34%, 14% What additional rate of discount must offer to meet the competitor's price
Answer:
The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:
$442 * 0.9 = $397.80
The selling price of the same necklace at the competitor's store after 34% and 14% discount is:
$527 * 0.66 * 0.86 = $247.08
So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:
$397.80 - $247.08 = $150.72
To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:
($150.72 / $442) * 100 = 34.11%
Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.
Step-by-step explanation:
can u pls help me with this question
Answer:
The correct answer is D, 6/8.
Step-by-step explanation:
For ratios or fractions an equivalent fraction has the same value but just more pieces. Think of it like a pizza. But to make sure they are equivalent you have to multiply or divide them by a fraction equal to 1. In other words the numerator and the denominator have to be the same number. So, when we multiply 3/4 by 2/2 you get 6/8 because 3 x 2 = 6 (numerators) and 4 x 2 = 8 (denominators).
If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe and please mark brainliest! :)
describe how a graph would look for the solution set for the inequality in problem 5. describe what the solution means and how the price of the balloons bought will affect the amount in the budget.
A)
i) the inequality to show the number of ballons that the dance committee can buy is: 0.80b + 65 ≤ 125
ii) solving the inequality above, we arrive at b ≤ 75
B) The graph is attached accordingly.
C) See the description of the solution below.
Let's start by defining our variables. Let b be the number of balloons that the dance committee could buy.
The cost of b balloons is $0.80b. We want to make sure that the cost of the balloons plus the amount already spent on decorations ($65) is less than or equal to the budget of $125. So we can write the following inequality:
0.80b + 65 ≤ 125
Now we can solve for b:
0.80b + 65 ≤ 125
0.80b ≤ 125 - 65
0.80b ≤ 60
b ≤ 75
Therefore, the dance committee can buy up to 75 balloons to stay within their budget.
To graph the solution set, we can plot b on the horizontal axis and shade the region to the left of b = 75, since b must be less than or equal to 75.
The solution set represents all possible values of b that satisfy the inequality. In this case, the solution set is b ≤ 75, which means that the dance committee can buy up to 75 balloons and still stay within their budget.
As the number of balloons increases, the cost of the balloons also increases, and the amount of money left in the budget decreases.
Therefore, the more balloons the dance committee buys, the less money they will have left for other decorations or expenses.
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Full Question:
Since the above question is incomplete, it appears you are referring to the question below.
The dance committee has a budget of $125 to decorate the gym for a spring dance. They already spent $65. Some members want to buy helium balloons that cost $0.80 each.
A) Write and solve an inequality to show the number of balloons that the dance committee could buy.
B) Graph the solution set for the inequality.
C) Describe what the solution means and how the number of balloons affects the amount in the budget.
Is this correct?
Or please provide an explanation.
Answer:
The answer selected is correct
Step-by-step explanation:
When talking about balance, having -X (being X in the negative) , means owing X.
Dylan owes $19.25
Elise owes $42.75
Francesca owes $23
Jamaal owes $35.50
So naturally, Dylan owes the least.
7.) six hundred thousand forty nine and eleven thousandths how do I write in standard form
Answer: Un alambre de acero de 1.5 m se estira 2.0 mm con fuerza F. El diámetro del alambre de acero es 4.0 mm. El módulo de Young del acero es 2.0 x 1011 Nm-2. Determine la fuerza F aplicada sobre el alambre.
Step-by-step explanation:
Mrs. Clark has 7 candy bars to share equally with all the students in his class. He gives each student 1/4 of a bar. None of the chocolate bar is left over. How many students does he have in his class?
Answer:
28
Step-by-step explanation:
7×4
aaaaaaaaaaaaaaa
1.4 and its solved by the percentage of the 7
PLZ HELP FAST
Enter an equation in standard form to model the linear situation.
A pool that is being drained contained 19,000 gallons of water. After 2 hours, 14,500 gallons of water remain.
Answer:
Step-by-step explanation:
it is losing 4 500 every 2 hours. so 2 250 every hour. It will go like 19 000
- 14 500 - 10 000 - 5 500 - 1 000. Then it will lose the rest in less than 30 minutes
What are the coordinates for the park ?
Answer: hey panini
Step-by-step explanation:
Need help! the question is on the png
Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 3x - 5y = -2 2x + y = 3 Responses A Multiply first equation by -3 and second equation by 2, solution (1, -1).Multiply first equation by -3 and second equation by 2, solution (1, -1). B Multiply first equation by -2 and second equation by 3, solution (1, -1).Multiply first equation by -2 and second equation by 3, solution (1, -1). C Multiply first equation by -2 and second equation by 3, solution (1, 1).Multiply first equation by -2 and second equation by 3, solution (1, 1). D Multiply first equation by -3 and second equation by 2, solution (-1, 1)
Answer:
(C) Multiply first equation by -2 and second equation by 3, solution (1, 1)
Step-by-step explanation:
Simultaneous equations:Simultaneous equations are set of equations which possess a common solution. The equations can be solved by eliminating one of the unknowns by multiplying each of the equations in a way that a common coefficient is obtained in the unknown to be eliminated.
Given the simultaneous equations:
3x - 5y = -2
2x + y = 3
First step:
Multiply first equation by -2 and multiply second equation by 3,
-6x + 10y = 4
6x + 3y = 9
Second step:
Add the two equations together,
13y = 13
Divide both sides by 13
y = 1
Third step:
Put y = 1 in the first equation
3x - 5(1) = -2
3x - 5 = -2
3x = 5 - 2
3x = 3
Divide both sides by 3:
x = 1
solution (x,y) = (1,1)
Option C
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Delivery of 5 large boxes, 3 small boxes; total weight 135 kilograms. And 7 large boxes, 9 smaller boxes total weight,279 kilograms. How much does each box weigh?
The weight of each of the boxes are:
Large box = 15.75 kg
Small box = 18.75 kg
How to solve simultaneous Equations?Let the weight of each large box be x
Let the weight of each small box be y.
Thus, if 5 large boxes and 3 small boxes have a total weight of 135 kilograms, then we have the equation:
5x + 3y = 135 -------(1)
Thus, if 7 large boxes and 9 small boxes have a total weight of 279 kilograms, then we have the equation:
7x + 9y = 279 ------(2)
Multiply eq 1 by 3 and eq 2 by 1 to get:
15x + 9y = 405 -----(3)
Subtract eq 2 from eq 3 to get:
8x = 126
x = 126/8
x = 15.75 kg
Thus:
5(15.75) + 3y = 135
3y = 135 - 78.75
3y = 56.25
y = 18.75 kg
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Find the volume of the figure below. Round your answer to the nearest tenta
A. 5870.8 ft³
B. 6575.3 ft³
C. 4559.3 f³
D. 5017.8 ft
12 ft
11 ft
48+(-22) what’s the answer?.
Answer:
26
Step-by-step explanation:
A (+) and a (-) will always be a minus, so 48+(-22) becomes 48 - 22, which equals 26.
Answer:
26.
Step-by-step explanation:
48 - 22 = 26.
On 1 April mazibane has R540, 00 in his credit card account. He buys a lounge suit for R8300, 00 on credit. There is no interest on the debit amount for the first month. Thereafter the interest is 16% per year calculated daily but compounded monthly. On 1 June Mazibane pays R5000 into the account.
How much must Mazibane pay into the account on 30 June to have no debt in the account
According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.
How to calculate the amount Mazubane must pay on 30 June?To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.
Initial Debt:
On 1 April, Mazibane had a credit card debt of R8300.Interest Calculation:
The interest on the debt is 16% per year, calculated daily but compounded monthly. From 1 April to 1 June, a period of two months, there is no interest charged on the debt.Previous Payment:
On 1 June, Mazibane paid R5000 into the account.To determine the remaining debt on 1 June, we subtract the payment from the initial debt:
Remaining debt on 1 June = R8300 - R5000 = R3300.From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.
To calculate the interest for one month, we use the formula:
Interest = Principal x (1 + (rate/100))^(time/12) - Principal,where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).
Interest for one month = R3300 x (1 + (16/100)/12)^(1/12) - R3300.To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:
Total debt on 30 June = R3300 + Interest for one month.To have no debt on 30 June, Mazibane must pay the total debt amount:
Mazibane must pay R3300 + Interest for one month on 30 June.Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.
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the sum of five and five times a number is -50 what is the number?
Answer: -10
Step-by-step explanation:5x-10= -50
n = - 11
Step-by-step explanation:Hi there !
5 + 5n = - 50
5n = - 50 - 5
5n = - 55
n = - 55/5
n = - 11
Good luck !
Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, A for asparagus,S for Shrimp, B for Bacon, F for French, and V for Vinegrette. When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: mushrooms, asparagus. Also you will addone of the following meats: Shrimp, bacon. Lastly, you will decide on one of the following dressings: French, vinegrette.
Answer: {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}
Step-by-step explanation:
Sample space is a set that contains all the possible outcomes for an event.For salad:
Choices for extra toppings (mushrooms, olives) =2
Choices for meats (bacon, eggs) =2
Choices for dressings (vinaigrette, honey mustard.)= 2
By Fundamental counting principal .
The number of different salads can be made= (Choices for extra toppings) x (Choices for meats ) x (Choices for dressings)
= 2 x 2 x 2 = 8
All the possible outcomes = (MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)
Required Sample space would be : {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}
How many terms of the G.P 3 , 3/2,3/4 are needed to give the Sum 3069 /512
Answer: 10
Step-by-step explanation:
The first term is 3 and the common ratio is 1/2.
Using the sum of a geometric series formula,
\(\frac{3069}{512}=\frac{3(1-(1/2)^{n}}{1-(1/2)}\\\\\frac{3069}{1024}=3(1-(1/2)^{n})\\\\\frac{1023}{1024}=1-(1/2)^{n}\\\\-(1/2)^{n}=-\frac{1}{1024}\\\\(1/2)^n=\frac{1}[1024}\\\\2^{-n}=2^{-10}\\\\n=10\)
what is a regression through the origin
A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.
This version is also referred to as zero-intercept regression or homogeneous regression.
It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.
The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.
However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.
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Venessa bought 80 apples for 4$.out of these apples 25 precent were rotten and had to be thrown away Vanessa sold the remaining apples at 6 cents per apple. What is the profit or loss percentage
The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.
Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.
Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.
Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.
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PLEASE HELP ME 100 points !!
the answer to your first quesion is 2.625 pounds and the other one is .6 gallons of water
Please help me i’m sorry
Answer:
Is that 11/3 because of rise over run??? I'm not sure
HELP WITH NUMBER 6 ASAP PLEASE!!!!!!!
NEED HELP ASAP
6 th grade mathematics question
Answer:
B, 8 (2a+3b).
Step-by-step explanation:
First, let's let A=1 and B=2. 16a+24b would equal 64, and so would B, which is 8 (2a+3b). Then lastly you solve, and you get 64 for both of them, which means B is equal to that expression.
Answer:
B
Step-by-step explanation:
8(2a) = 16a
8(3b) = 24b
16a + 24b
An old piece of silver jewelry has a mass of 20g and a volume of 1.9cm^(3). What is its density?
Answer:
10.5
Step-by-step explanation:
mass/volume=density