26 points are scored in the fifth game.
What is Average?The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
Given,
First four games, a netball team scores an average of 31 points per game.
x/4=31
Let x represents four games
x=124
After the fifth game, the average for the first five games is 30
y/5=30
Let y represents five games
y=150
We need to find the number of points scored in fifth game.
x-y
124-150
26
Hence, 26 points are scored in the fifth game.
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jess makes salad dressing by mixing lemon juice and olive oil in the ratio 2:5 by volumr.me. shes uses 0.5 litres of lemon juice. work out how much olive oil she uses to make the salad dressing.
Answer:
its 2.5 liters of olive oil because .5 times 5 equals 2.5 needed to satisfy ratio.
What is the difference between 30% interest charged for a payday loan and a 30% APR on a credit card?
The main difference is interest charged for a payday loan is typically over a short period, whereas credit card represents the annualized interest rate over a year.
The payday loan interest is a one-time charge, while the credit card APR accumulates over time if the balance is not paid in full.
For a payday loan, the 30% interest is typically charged over a short period, often within a few weeks.
This means that if you borrow $100, you would need to repay $130, including the $30 interest, within that short timeframe.
On the other hand, a 30% APR on a credit card represents the annualized interest rate charged on the outstanding balance. This interest is spread out over a year.
If you have an outstanding balance of $100 on a credit card with a 30% APR, the interest charged over a year would be $30.
In summary, the main difference is that the 30% interest charged for a payday loan is typically applied over a short period, whereas the 30% APR on a credit card represents the annualized interest rate over a year.
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What is the equation of the line that is perpendicular to the line y = -5x - 12 and passes through the
point (10, 4).
Line's equation is y=(1/5)x + 2.
What does perpendicular mean?
In elementary geometry, two geometrical objects are perpendicular if they intersect at a right angle. The condition of perpendicularity can be graphically represented using the perpendicular symbol,. Any pair of lines, any pair of planes, or any pair of lines and planes can be used to define it.
The arrow
In slope-intercept form, y=-5x12
y=mx+b
where the slope m is.
Thus, the slope of this line is
m= -5
Slopes on perpendicular lines are reciprocally negative. In other words, modify the sign by taking the slope's reciprocal.
The reciprocal of (-5) in the negative is 1/5.
Plug in the point to determine b in the formula y = (1/5)x + b.
4 = (1/5)(10) + b
4 = 2 + b
b = 2
The perpendicular line passing through the indicated point is y= (1/5)x + 2.
Thus, the equation of the line that is perpendicular to the line y = -5x - 12 and passes through the point is y= (1/5)x + 2.
point (10, 4). (10, 4).
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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472.
Find the substance’s half-life, in days. Round your answer to the nearest tenth.
A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.
The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:
t = (0.693 / k)
where t is the half-life and k is the decay constant.
In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.
t = (0.693 / 0.1472) ≈ 4.7 days
Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.
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Angelica uses a coordinate plane to make a map of her neighborhood. The point at
(4,3) represents the location of her house, and the point at (10, 8) to represent the
location of the gas station. She wants to drive to the gas station using the straight
line shown below. Use what you know about right triangles to find out how far she
will drive. Each unit on the graph represents 1 mile.
In this answer, give the length of the straight line shown on the graph, and explain
how you calculated it.
у
10
9
(10,8)
Gas station
8
7
ch
6
5
4
3
2.
Angelica's house
(4,3)
Answer:
Distance between Gas Station and House = 7.81 miles.
Step-by-step explanation:
The distance between the two locations is 7.81 miles
Distance between two pointsGiven the point at (4,3) represents the location of her house, and the point at (10, 8) represents the location of the gas station.
The distance between the two locations will be determined using the formula
D \(=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Substitute the given coordinate into the formula
\(D=\sqrt{(-6)^2+(-5)^2}\\D=\sqrt{(4-10)^2+(3-8)^2}\\D=\sqrt{36+25}\\ D=\sqrt{61}\\ D=7.81miles\)
Hence the distance between the two locations is 7.81 miles
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The range, a measure of variability, Group of answer choices is the difference between the largest (L) and smallest (S) value in a list of scores is the most informative when used to describe data sets without outliers includes only two values in its computation, regardless of the number of scores in a distribution all of the above
The correct answer is all of the above.
Why is the range the most convenient measure of variability?
Your data's spread from the lowest to the greatest value in the distribution is indicated by the range. The calculation of this variability index is the simplest. Simply subtract the lowest value from the highest value in the data set to determine the range.How do you find the range?
The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response.Learn more about range
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Jack and Fred have to do a certain job. If Jack works alone he can finish the job in 3
hours. If Fred works alone he can finish the job in y hours. The two of them can finish
the job in 2 hours if they work together. What is the value of y?
Answer:
y = 6
Step-by-step explanation:
when they work together, you square the 3 and get 6
Pat earns $30.00 for traveling to the homes plus $10.50 for each hour of tutoring. Write a linear equation that models their total earnings for traveling and tutoring for a given number of hours.
Answer: 30 + 10.50h
Step-by-step explanation:
From the question, we are informed that Pat earns $30.00 for traveling to the homes plus $10.50 for each hour of tutoring.
The linear equation that models their total earnings for traveling and tutoring for a given number of hours would be written as:
= $30 + $10.50h
where h represents the number of hours for tutoring used.
For example, if 2 hours if tutoring was used, the total amount earned would be:
= 30 + 10.50h
= 30 + 10.50(2)
= 30 + 21
= $51
What are all possible values of x if
10
x
+
5
≥
25
?
Answer:
x can be all real positive numbers besides 1.
Step-by-step explanation:
10x + 5 ≥ 25
10x ≥ 25 - 5
10x ≥ 20
10x/10 ≥ 20/10
x ≥ 2
Since x is larger than or equal to 2, it can be any number besides 1 and all negative numbers. It can still be 2 because it says larger than or equal to.
Ans: x can be all real positive numbers besides 1.
Hope it helps :)
A machine can fill 24 jars of honey in 30 seconds create an equation that represents filling y jars of honey in c seconds move the correct answer to each box not all answers will be used
The equation representing filling y in x seconds is given as;
y = 0.8x. Option B
What are algebraic expressions?Algebraic expressions are defined as expressions that are composed of terms, variables, constants, coefficients and factors.
They are expressions that are also identified with some mathematical operations, they are;
SubtractionMultiplicationDivisionBracketParenthesesAdditionFrom the information given, we have that;
24 jars are filled in 30 seconds
Then, for y number of jars of honey, we have x seconds
cross multiply the values, we have;
y = 24x /30
divide the values
y = 0. 8x
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Which is the best way to write the underlined parts of sentences 2 and 3?
(2) They have a special finish. (3) The finish helps the
swimmer glide through the water.
Click for the passage, "New Swimsuits."
OA. Leave as is.
B. a special finish that helps
C. a special finish, but the finish helps
D. a special finish so the finish helps
Answer:
Option B is the best way to write the underlined parts of sentences 2 and 3.
Sentence 2: They have a special finish that helps.
Sentence 3: The finish helps the swimmer glide through the water.
Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.
)) Evaluate the expression for k = -4 and m = -4.
2 km=
pls helppp
Answer:
1. m = 0
2. is the image
7(g + 2h)
What is an equivalent expression
Answer:
7g+14h
Step-by-step explanation:
hope it helped you
Answer:
7g + 14h
Step-by-step explanation:
What is an equivalent expression?
7(g + 2h)
7(g) + 7(2h) <== multipe both terms by 7
7g + 14h
Hope this helps!
Sophie is training for a triathlon by running, biking, and swimming. last week, she ran, biked, and swam 104 miles altogether. she ran 3 times as many miles as she swam. she biked 3 times as many miles as she ran. how many miles did sophie bike last week
72 miles Sophie bike last week. we get the answer by making and solving equation.
Let's take x miles, Sophie swam
from the question we get,
she runs ⇒3 × x = 3x miles
she biked ⇒ 3 × 3x = 9x miles
Then by solving, ⇒3x + 9x + x = 104
⇒ 13x = 104
⇒ x = 8
therefore, we get
9x = 9 × 8
= 72 miles
lastly, we get that she biked 72 miles last week.
There are two types of equations: identities and constraints. The ID applies to all values of the variable. Constraint expressions apply only to specific values of variables. Equations are written as two expressions joined by an equal sign.
There are three main forms of linear equations. Point-slope format, standard format, and slope-intercept format.
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An appraiser is calculating a trapezodial site that has base of 150 feet, a height of 2000 feet and a second parrallel base of 100 feet. what is the square feet area of the site?
The area of the given trapezoidal site is 250,000 sq. ft.
What is the area of the trapezoidal?The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,
Area = 1/2 × height × (base1 + base2)
Units: square units
Calculation:The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.
Then, the area of the trapezoidal is
= 1/2 × 2000 × (150 + 100)
= 1/2 × 2000 × 250
= 250,000 sq. ft
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six times the difference of a number and 4 is no more than 10.
Answer: x = 17/3 or 5 2/3
Step-by-step explanation:
Let the number be x
ATQ
6(x -4) = 10
6x-24 = 10
6x = 10+24
6x = 34
x = 34/6
x = 17/3
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The number is 17/3 if the six times the difference of a number and 4 is no more than 10 the answer is 17/3.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The complete question is:
Six times the difference between a number and 4 is no more than 10. Find the number.
It is given that:
Let x be the number:
From the statement: "six times the difference of a number and 4 is no more than 10"
We can frame a linear equation in one variable:
6(x -4) = 10
Using distributive property:
6x -24 = 10
6x = 34
x = 34/6
x = 17/3
Thus, the number is 17/3 if the six times the difference of a number and 4 is no more than 10 the answer is 17/3.
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I need help with this question.
Need help with java game exercise. requirements to gave below.
appreciate it with no errors. thanks
*it is java and it is a GUI
inake Jsing the LinkedList you had before to build a snake game. - Randomly generate 10 numbers and 1 letter. The range of the number is from 0 to 9 inclusive. - Randomly set location of these 10 numb
I can help you with the Java game exercise to build a snake game using a LinkedList. Here's a step-by-step guide to get you started:
Set up the project and GUI:
Create a new Java project in your preferred IDE.
Set up a graphical user interface (GUI) for the game using a suitable library such as Swing or JavaFX.
Create a Snake class:
Define a Snake class that represents the snake in the game.
Use a LinkedList data structure to store the coordinates of each segment of the snake's body.
Implement methods in the Snake class to move the snake, grow its length, and check for collisions.
Randomly generate numbers and letters:
Use the Random class from the java.util package to generate random numbers and letters.
Generate 10 random numbers between 0 and 9 (inclusive) and store them in a suitable data structure, such as an ArrayList.
Generate a random letter using the ASCII range for letters (e.g., 'A' to 'Z').
Set the initial location of numbers and letter:
Choose a suitable location on the game board for each number and letter.
Assign these randomly generated numbers and the letter to their respective locations.
Handle user input:
Implement event listeners or handlers to capture user input for controlling the snake's movement.
Map the user input to appropriate actions, such as changing the snake's direction.
Game loop and rendering:
Create a game loop that continuously updates the game state and renders the graphical elements on the screen.
Within the game loop, handle the movement of the snake, collision detection, and updating the game board.
Game over conditions:
Define conditions for game over, such as when the snake collides with itself or with the boundaries of the game board.
Display appropriate messages or actions when the game is over.
Testing and debugging:
Test your game thoroughly to ensure that it functions as expected.
Debug any errors or issues that arise during testing.
Remember to break down the problem into smaller tasks, implement and test each task separately, and gradually integrate them into the complete game. Feel free to ask specific questions if you encounter any issues along the way. Good luck with your game development!
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1. Simplifying Equation Below
please help!!
Answer: 0
Step-by-step explanation:
In this equation 0/y would equal 0, no matter what y is. 0/y means that there's 0 items out of y items (ex: substitute y with 2, it would be 0/2). Beginning with 1*0 (one times zero) the answer there would be 0. Since we already know that 0/y equals 0, the rest of the equation would be 0 - 0 which would equal to 0. Hope this explanation helps :)
\(\\ \sf\longmapsto 0-\dfrac{0}{y}\)
\(\\ \sf\longmapsto \dfrac{0-0}{y}\)
\(\\ \sf\longmapsto \dfrac{0}{y}\)
\(\\ \sf\longmapsto \infty\)
\(\\ \sf\longmapsto 0\)
If x / 2y = 0.4 , A / 5B = 0.25 Then A + y / 5 =…....
Answer:
\( \frac{x}{2y} = \frac{4}{10} \\ 8y = 10x \\ y = \frac{10x}{8} - - - - - 1 \\ \\ \frac{a}{5b} = \frac{25}{100} \\ \frac{a}{5b} = \frac{1}{4} \\ 4a = 5b \\ a = \frac{5b}{4} - - - 2 \\ \\ so \: \: \frac{a + y}{5} \\ = (a + y) \times \frac{1}{5} \\ = ( \frac{5b}{4} + \frac{5x}{4} ) \times \frac{1}{5} \\ = \frac{5b + 5x}{4} \times \frac{1}{5} \\ = \frac{5(b + x)}{4} \times \frac{1}{5} \\ = \frac{b + x}{4} \\ \\ so \: \: \: \frac{a + y}{5} = \frac{b + x}{4} \)
Given that \(\frac{x}{2y} = 0.4 \ and \frac{A}{5B} = 0.25.\) The value of equation \(\ \frac{A+y}{5} = \frac{x+10B}{40}\)
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. The expressions may contain any constants, variables and algebraic operators.
Given the equations,
equation 1:
\(= \frac{x}{2y} = 0.4 = \frac{4}{10} \\\\= 10x = 80y \\\\= x = 8y\\\\=y = \frac{x}{8}\)
equation 2:
\(\frac{A}{5B} = 0.25 = \frac{25}{100} = \frac{1}{4}\\ \\=4A = 5B\\\\=A = \frac{5B}{4}\)
We need to find \(\frac{A + y}{5}\),
putting the value of A and y in the equation,
\(= \frac{A + y}{5}\\\\=\frac{\frac{x}{8}+\frac{5B}{4} }{5} \\\\= \frac{x+10B}{40}\)
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st
2. Find the surface area of the sphere below.
.
3.1 m
-
Answer:
120.7016
Step-by-step explanation:
surface area of sphere=4πr²
solution
=4*3.14*3.1*3.1
=120.7016
A falling object travels a distance given by the formula =4+22, where is measured in feet and is measured in seconds. how many seconds will it take for the object to travel 58 feet? round the answer to 4 decimal places.
The time it will take for falling object travels a distance given by the formula =4+22+16t^2 , where is measured in feet and is measured in seconds to travel 58 feet is 1.53532s
How can this be calculated?d =4t+22t^2
We want to find the value of t, such that d = 58ft
Then we we solve the equation
58 = 4*t + 22*t^2
We can rewrite this as:
-22*t^2 - 4*t + 58 = 0.
solving using quadratic formular we have,
x=−1.71714
x=1.53532s
Therefore, The time it will take for falling object travels a distance given by the formula =4+22+16t^2 , where is measured in feet and is measured in seconds to travel 58 feet is 1.53532s
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Please Help!!!
A pair of parallel lines is cut by a transversal:
A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees.
What is the measure of angle x?
10 degrees
15 degrees
45 degrees
60 degrees
15 degree or watt quite not sure
9514 1404 393
Answer:
45 degrees
Step-by-step explanation:
Alternate interior angles where a transversal crosses parallel lines are congruent:
x + 30 = 75
x = 45 . . . . . . degrees
In quadrilateral ABCD AB||CD and m/_2 =31 what is m/_5
Answer:
5 is ALSO 31⁰ BECAUSE THE LINES ARE PARALLEL
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The actual dimensions of a rectangle are 10ft by8ft. David measures the sides to be 10.46 ft by 7.53 ft. In calculating the area, what is the relative error, to the nearest hundredth.
The relative error in calculating the area of the rectangle is 0.0155.
What is the relative error?The relative error means ratio of the absolute error of the measurement to the actual measurement.
The actual area of the rectangle is:
= 10 ft x 8 ft
= 80 sq ft
The measured area is:
= 10.46 ft x 7.53 ft
= 78.7638 sq ft
The relative error derive by the following formula:
= (Real - Measured)/Real
= (80 - 78.7638)/80
= 0.0154525
= 0.0155.
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The height of a ball thrown vertically upward from a rooftop is modelled by h(t)= -4.8t^2 + 19.9t +55.3 where h (t) is the balls height of above the ground, in meters, at time t seconds after the thrown. Determine the maximum height of the ball. ( in numerical value)
By applying the quadratic formula and discriminant of the quadratic formula, we find that the maximum height of the ball is equal to 75.926 meters.
How to determine the maximum height of the ball
Herein we have a quadratic equation that models the height of a ball in time and the maximum height represents the vertex of the parabola, hence we must use the quadratic formula for the following expression:
- 4.8 · t² + 19.9 · t + (55.3 - h) = 0
The height of the ball is a maximum when the discriminant is equal to zero:
19.9² - 4 · (- 4.8) · (55.3 - h) = 0
396.01 + 19.2 · (55.3 - h) = 0
19.2 · (55.3 - h) = -396.01
55.3 - h = -20.626
h = 55.3 + 20.626
h = 75.926 m
By applying the quadratic formula and discriminant of the quadratic formula, we find that the maximum height of the ball is equal to 75.926 meters.
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Here is a diagram and its corresponding equation. Find the solution to the equation and explain your reasoning 38 = 4 x (x 7)
Answer:
bc 4x 7 makes 38
Step-by-step explanation:
i dont know what u want me to say
The value of x is 5/2 in the equation 4(x + 7) = 38
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 4(x + 7) = 38
Four times of x plus seven equal to thirty eight
Apply the distributive property to find the value of x
4x+28=38
Subtract 28 from both sides
4x=10
Divide both sides by 4
x=10/4
The common factor of 10 and 4 is 2
Divide numerator and denominator by 2
x=5/2
Hence, the value of x is 5/2 in the equation 4(x + 7) = 38
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Here is a diagram and its corresponding equation.
4(x + 7) = 38
Solve for x:
IN
(x - 2) = 4x. (1 point)
9
ON
NO
O
2
Answer:
\(-\frac{2}{9}\)
Step-by-step explanation:
Hope this helps! :D
angela can paint 3 sections in 25 minutes. how many minutes will it take angela to paint 12 sections
Answer:
it would take her 100 minutes to paint 12 sections.
Step-by-step explanation:
3 =25 minutes
3 x 4 = 12
25 x 4 = 100
Henry purchased a prepaid phone card $40.50 for . Calls cost 10 cents a minute using this card. The credit, C (in dollars), left on the card after it is used for 15 minutes of calls is given by the following. How much credit is left on the card after Henry uses it for minutes of calls?
By solving the given equation we know that $32.7 credit is left on the phone.
What are equations?The definition of an equation in algebra is a logical statement that proves two formulas are equal.
Take the equation 3x + 5 = 14, wherein 3x + 5 and 14 are two expressions that are separated by the symbol "equal."
So, we have the equation:
C(x)-35.50-0.07x
As Henry use it for 40 minutes:
Now, calculate the amount left as follows:
C(x) = 35.50 - (0.07 x 40)
C(x) = 35.50 - 2.8
C(x) = $32.7 left
Therefore, by solving the given equation we know that $32.7 credit is left on the phone.
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Complete question:
Henry purchased a prepaid phone card for $35.50. Calls cost 7 cents a minute using this card. The credit, C(in dollars), left on the card after it is used for x minutes of calls is given by the following function. C(x)-35.50-0.07x . How much credit is left on the card after Felipe uses it for 40 minutes of calls?