Answer:
c=5+1h
Step-by-step explanation:
The equation for where h represents the number of hours and C represents the total cost is C = 5 + nh.
Given that the skates were rented for $5 and pay $1 an hour for skating per person.
We need to write an equation, where h represents the number of hours and C represents the total cost.
To calculate the total cost (C) for a family with h hours of skating, you would need to consider the cost of renting skates ($5) and the cost of skating per person per hour ($1 per person per hour).
Let n be the number of people in the family.
The equation for the total cost (C) can be expressed as follows:
C = 5 + nh
The $5 is added to the equation as a one-time cost for renting skates, which is the same for any number of people.
nh represents the cost for the number of people (n) skating for h hours, at the rate of $1 per person per hour.
The cost per person is multiplied by the number of hours they skate.
Hence the required equation is C = 5 + nh.
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calculate the area of the shaded region in each figure. use 3.14 for π and round to the nearest 10th if nessary
Answer:
7.6 cm²
Step-by-step explanation:
Area of rectangle= l x w
3 x 4 = 12 cm
Area of circle= πr²
π x 2.5²= 19.625
Area of shaded= Area of circle - area of rec
19.625- 12= 7.625 cm²
≈7.6
I HOPE THIS HELPED
Eighth grade > V.4 Area and circumference of circles CHV
The circumference of a circle is 43.332 miles. What is the circle's diameter?
Use 3.14 for .
Answer: \(D=13.8\)
Step-by-step explanation:
To fing the diameter of a circle when given the circumfrence we use the formula of
\(D=\frac{c}{\pi }\)
\(D= \frac{43.332}{3.14}\)
\(D=13.8\)
using the approximation −20 log10 √ 2 ≈ −3 db, show that the bandwidth for the secondorder system is given by
Using the approximation −20 log10 √ 2 ≈ −3 db, the bandwidth for the second order system is given by BW ≈ ωn/Q.
Given the approximation `-20log10√2 ≈ -3dB`.
We need to show that the bandwidth for the second-order system is given by `BW ≈ ωn/Q`.
The transfer function of a second-order system is given as below:
H(s) = ωn^2 / (s^2 + 2ζωns + ωn^2)
Where,ωn = Natural frequency
Q = Quality factor
ζ = Damping ratio
The magnitude of the transfer function at the resonant frequency is given by:
|H(jω)|max = ωn² / ωn² = 1
At the -3dB frequency, |H(jω)| = 1 / √2.
Substituting this value in the magnitude of the transfer function equation and solving for ω, we get:
-3dB = 20 log10|H(jω)
|-3dB = 20 log10(1/√2)
-3dB = -20 log10(√2)
≈ -20(-0.5)
≈ 10dB10dB
= 20 log10|H(jω)|max - 20 log10(√(1 - 1/2))10
= 20 log10(1) - 20 log10(1/2)
∴ ωn/Q = BW ≈ 10
Therefore, the bandwidth for the second-order system is given by BW ≈ ωn/Q.
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this is what truthfully struggle with can someone explain how i do this please then imma try it on my own
Question 5
Lisa and Kyle are saving money to go to a soccer camp. Lisa plans to save the same amount each week. The table shows her savings s for w weeks.
Number of Weeks, Total Savings (S),
W
S
1
2
15
30
45
Kyle has already saved $30 and plans to save $10 each week. The equation & 10w + 30 represents his total savings s for w weeks. If the camp costs $2
many more weeks will kyle need to save then Lisa?
more week(s)
Need help with this question?
Kyle needs to save for 4 more weeks than Lisa.
The camp costs $200, so we want to find the number of weeks required for both Lisa and Kyle to have a total savings of $200.
For Lisa, we can look at the table to see her savings for different numbers of weeks.
It shows that she saves $15 per week. We can set up an equation to represent her savings:
S = 15w
For Kyle, we are given that he has already saved $30 and plans to save $10 per week. We can set up an equation to represent his savings:
S = 10w + 30
Now, we can set their savings equations equal to $200 and solve for w:
15w = 200
10w + 30 = 200
Solving these equations, we find:
w = 200/15 ≈ 13.33
w = (200 - 30)/10 = 17
To find how many more weeks Kyle needs to save than Lisa, we subtract the number of weeks Lisa needs from the number of weeks Kyle needs:
= 17 - 13
= 4
Therefore, Kyle needs to save for 4 more weeks than Lisa.
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NEED HELP ASAP!!!
a. Write an equation in slope-intercept form for the above table.
b. Graph the line in part (a).
Answer:
y=2x+5
Step-by-step explanation:
The y-intercept is when x is o so that will be 5.
To find the slope use the slope formula which is the change of y over the change of x. Choose 2 points.
\(\frac{y2-y1}{x2-x1}\)
\(\frac{9-7}{2-1}\)=\(\frac{2}{1}\)=2
Can you work out the question in the picture please
Answer:
Step-by-step explanation:
Remark
The gradient is the same thing as m in y = mx + b. The point is used to find b.
Step One
Find the gradient and put it in the right place for y = mx + b
m = 2
y = mx + b
y = 2x + b So far this is the answer. Now we go on
Step Two
Use the point to find b
y = 4
x = 1
y = 2x + b
4 = 2*1 + b
b = 4-2
b = 2
Answer
y = 2x + 2
1. The cost of a peanut butter bar is $0.07 more than the cost of a chocolate bar. If you buy 5 peanut butter bars and 6 chocolate bars, the total cost is $6.40. How much does the chocolate bar cost?
A. $0.61
B. $0.55
C. $0.54
D. $0.62
Pls help!!! i need this done tonight
Answer:
The cost of the chocolate bar is $0.54. You can calculate this by subtracting the total cost of the peanut butter bars ($3.50) from the total cost of the 5 peanut butter bars and 6 chocolate bars ($6.40), resulting in $2.90 for the cost of the chocolate bars, which is then divided by 6 to get $0.54.
what is the simplified answer
Answer:
15x^2 - 48x + 36
Step-by-step explanation:
You have done the first part correctly. Now, we add all the terms inside the box and add them all together.
15x^2 - 18x - 30x +36
Simplify by adding like terms
15x^2 - 48x +36
Answer: 15x2−48x+36 as simplified!!
Step-by-step explanation: maybe
slope positive or negative?
Answer:
Negative
Step-by-step explanation:
slope (2) is decreasing which shows signs of negativity
find the value of -12b+6c+18 when b=2 and c=-3
Answer:
-12b+6c+18 = -24
Step-by-step explanation:
-12b+6c+18 = ?
Substitute the variables in for their value
-12(2)+6(-3)+18 = ?
Multiply
-12 x 2 = -24
6 x -3 = -18
-24-18+18 = ?
Solve.
-18 + 18 = 0
-24 - 0 = -24
The answer is -24.
Please help tia!!!!!!
Answer:
i believe the answer for #2 is F but i could be wrong
Answer:
F
Step-by-step explanation:
Solve the following :
a) (-24) + (-16)
b) 38 + (-52)
Answer:
1{-8}
2{-14}
Step-by-step explanation:
I think, sorry if I'm wrong
Sammy is laying a brick in his front walkaway. The rectangular path measures 3/5 feet by 4/9 feet. What is the area of the space that will be covered by bricks?
Answer:
The area of the space that will be covered bricks is 4/15 ft^2
Step-by-step explanation:
Here, we are interested in calculating the area of the space that will be covered by bricks.
This can be obtained directly by finding the area of the rectangular shape;
Mathematically;
area of a rectangle = L * B
Since we have both measurements already;
Then the area of the space will be 3/5 * 4/9 = 12/45 = 4/15 ft^2
PLS HELP!! THIS IS WORTH 160 PTS!!(PLUS I WILL MARK BRAINIEST!)
There are 205 students in the 6th grade at Peter’s school. For a class project, Peter chooses to ask all of the 6th graders a statistical question. Which question is a good statistical question?
A
How long is your second period class?
B
What is your height measured to the nearest inch?
C
How many letters are in the word statistical?
D
What school do you go to?
Answer:
B) What is your height measured to the nearest inch?
Explanation:
A statistical question can be answered by collecting data from various people which varies.
Here Look For the Question's which may vary person to person.
A) Assuming 6th graders must have same period and time schedule.
B) Height in school of 6th graders can vary person to person.
C) There are total 11 letters and doesn't vary. it's exactly 11 letters.
D) The audience are from the same school.
Answer:
B) What is your height measured to the nearest inch?
Step-by-step explanation:
Statistical questions are questions which can have a variety of answers, explanations & justifications.
Fpr example, asking the weather report to people from four different countries in four different continents is a statistical questions as their answers can vary.
\(\rule{150pt}{2pt}\)
Now, in the above question, the questions are asked to 205 students from the same school & same grade.
A) Since the students belong to the same grade and the same school, there will be no difference in the timings of their second period class. So, this question is non-statistical question.
B) Height among students can vary even if they're of the same age or gender. Since this question can have various answers, it's a statistical question.
C) The word given is 'STATISTICAL' & it will always have eleven letters in it. It's a non-statistical question .
D) The students in the survey all belong to the same school. So, all of the answers will be the same & it'll be a non-statistical question.
\(\rule{150pt}{2pt}\)
So, the correct answer is → B) What is your height measured to the nearest inch?
\(\rule{150pt}{2pt}\)
Can anyone help please
The graph of the following equation will be a Parabola. The y=1 will be the line of symmetry.
Which four types of parabolas are there?Three different parabolas exist. Vertex form, standard form, and intercept form are the three forms. You can access a unique key feature for the graph on each form.
What distinguishes a hyperbola from a parabola?A set of points in a plane that are equally spaced apart from a directrix or focus are known as parabolas. The difference in distances between a group of points that are situated in a plane and two fixed points—which is a positive constant—is what is referred to as the hyperbola.
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which numbers are exact (and therefore have an unlimited number of significant figures)?
Exact numbers are numbers are exact (and therefore have an unlimited number of significant figures)
What are exact numbers?Exact numbers can be defined as numbers known with complete certainty.
These numbers have zero uncertainty and have infinite values.
Some examples of exact numbers are:
counted numbers of objects or certain unit conversions such as 3 feet in 1 yard, exactly 12 eggs in a dozenWe can see that exact numbers have infinite values and thus have unlimited number of significant figures.
Thus, exact numbers are numbers are exact (and therefore have an unlimited number of significant figures)
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Find the unknown number in the proportion
5/11 = x/126
Round your answer to the nearest hundredth.
Answer: 57.27
Step-by-step explanation:
using the proportion we have x= (5*126)/11= 57.27
FILL IN THE BLANK. a method that is invoked when an object is created is known as a _________ method.
The method that is invoked when an object is created is known as a constructor method.
Constructor in C++ is a special method that is invoked automatically at the time of object creation. It is used to initialize the data members of new objects generally.
The constructor in C++ has the same name as the class or structure. Constructor is invoked at the time of object creation. It constructs the values i.e. provides data for the object which is why it is known as constructors.
Constructor does not have a return value, hence they do not have a return type.
The prototype of Constructors is as follows:
<class-name> (list-of-parameters);
Constructors can be defined inside or outside the class declaration:-
The syntax for defining the constructor within the class:
<class-name> (list-of-parameters) { // constructor definition }
The syntax for defining the constructor outside the class:
<class-name>: :<class-name> (list-of-parameters){ // constructor definition}
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the football team had two- five yard penalties.What whas the change in yards due to the penalties?
Since there wer two penalties, each of five yard, the total change in yards due to the penalties is:
\(2\cdot5=10\)there was a change of 10 yards due to the penalties
What is the value of 128x3/7 as a whole number ?
Answer:
54.86 or 55, rounded to a whole number
Step-by-step explanation:
(128*3) = 384
384/7 = 54.86
This is not a whole number
the likelihood that the decision made based on the sample differs from the decision that would have been made if the entire population had been examined is
The likelihood that the decision made based on the sample differs from the decision that would have been made if the entire population had been examined is called sampling risk.
What is Sampling error?Sampling error refers to the disparity between a sample's characteristics and those of the population from which it was drawn. It arises from using a sample rather than the whole population to estimate statistics such as mean, variance, and proportions.
Since a sample only represents a portion of the population, it cannot be expected to have the same characteristics as the whole population. The study of sampling error is an essential part of statistical analysis, as it is a source of uncertainty in making inferences about the population from a sample.
To reduce the sampling error in your survey, you can utilize a larger sample size. It is also beneficial to ensure that the sample is chosen randomly and without bias.
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2. Serena took care of Jason's large fish tank while he was on vacation. The tank lost
water through evaporation, and Serena added more water as shown in the table.
In total, how much water will bbe gained or lost by the time Jason returns from
vacation?
The net water gained or lost by the fish tank when Jason returns from vacation will be 0.
This is because the total amount of water added to the tank through evaporation is equal to the total amount of water added by Serena. Therefore, there is no net gain or loss of water.
The table shows that the water level in the tank decreased by 2 inches due to evaporation. This corresponds to a volume of 4.4 gallons of water lost. Serena added 4.4 gallons of water to the tank to compensate for the evaporation loss. Therefore, the total amount of water added to the tank is 4.4 gallons, which is equal to the amount lost through evaporation. Hence, the net water gained or lost by the time Jason returns from vacation will be zero.
Thus, the answer is 0 gallons.
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Write each equations in standard form.
10.y + 1 =X+2
13.y 4=-K-1)
Answer:
10. -x + y = 1.
Step-by-step explanation:
10. y + 1 = x + 2
y - x = 2 - 1
-x + y = 1.
5
Sylvia wants to cover the floor of a room with carpet.
She will need exactly 36 square yards of carpeting to
cover the floor. When Sylvia arrives at the store to
purchase the carpet, she is told that she must place her
order in square feet. Assuming no waste, how many
square feet of carpet does Sylvia need to order to have
the exact amount necessary to cover the floor?
Using proportions, it is found that Sylvia needs to order 324 square feet.
This question is solved by proportions, using a rule of three.Each square yard has 9 square feet. How many square feet are there in 36 square yards?The rule of three is:
1 square yard - 9 square feet
36 square yards - x square feet
Applying cross multiplication:
\(x = 9 \times 36 = 324\)
Sylvia needs to order 324 square feet.
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4% of books printed by ABC Press contain misprints. Find the probability that among 100 different titles of books published by this press: a) Exactly 5 will contain misprints (use Binomial distribution); b) Between 3 and 6 (both exclusive) will contain misprints (use Poisson approximation).
To solve this problem, we will use the binomial distribution to find the probability of exactly 5 books containing misprints and the Poisson approximation to find the probability of between 3 and 6 books containing misprints.
(a) Probability of exactly 5 books containing misprints (using binomial distribution):
The probability of success (p) is 4% or 0.04, and the number of trials (n) is 100.
Using the binomial distribution formula, the probability of exactly k successes (k = 5) is given by:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where C(n, k) is the binomial coefficient or the number of ways to choose k items from n.
Using this formula, we can calculate the probability:
P(X = 5) = C(100, 5) * 0.04^5 * (1 - 0.04)^(100 - 5)
Calculating the values:
P(X = 5) = 100! / (5! * (100 - 5)!) * 0.04^5 * 0.96^95
P(X = 5) ≈ 0.000327
Therefore, the probability of exactly 5 books containing misprints is approximately 0.000327.
(b) Probability of between 3 and 6 books containing misprints (using Poisson approximation):
To use the Poisson approximation, we need to calculate the mean (λ) of the Poisson distribution, which is equal to n * p.
λ = n * p = 100 * 0.04 = 4
The Poisson distribution formula for the probability of exactly k events is given by:
P(X = k) = (e^(-λ) * λ^k) / k!
To find the probability of between 3 and 6 books containing misprints, we need to calculate the sum of probabilities for k = 4 and k = 5.
P(3 < X < 6) = P(X = 4) + P(X = 5)
P(X = 4) = (e^(-4) * 4^4) / 4! ≈ 0.1954
P(X = 5) = (e^(-4) * 4^5) / 5! ≈ 0.1563
P(3 < X < 6) ≈ 0.1954 + 0.1563 ≈ 0.3517
Therefore, the probability of between 3 and 6 books containing misprints (exclusive) is approximately 0.3517.
Please note that the probabilities are approximate values calculated based on the given information and the respective probability distributions used.
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8. The numbers 0 through 9 are used to create a 5-
digit security code to enter a building. If
numbers cannot be repeated, what is the
probability that the security code is
2-4-9-1-7?
A.
B.
1
252
1
6048
C.
D.
1
30,240
1
100,000
The probability of the given security code is as follows:
C. 1/30,240.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.
5 digits are taken from a set of 10, and the order is relevant, hence the total number of passwords is given as follows:
P(10,5) = 10!/(10 - 5)! = 30240.
Hence the probability is given as follows:
C. 1/30,240.
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For the function f(x)=−2∣x−3∣+2, describe the transformations (shifting, compress and/or reflecting) of the basic function. Graph the basic function f(x)=∣x∣. Then graph th function f(x)=−2∣x−3∣+2. Find the domain and the range of the given function. Transformations: Shifting Compressing or stretching Reflecting Graph of basic function f(x)=∣x∣ Graph of given function f(x)=−2∣x−3∣+2 Domain of f(x)=−2∣x−3∣+2 Range of f(x)=−2∣x−3∣+2
The function f(x) = -2|x - 3| + 2 involves a horizontal shift of 3 units to the right, a vertical reflection, and a downward stretch. Its domain is all real numbers, and its range is all real numbers less than or equal to 2.
The function f(x) = -2|x - 3| + 2 is a transformation of the basic absolute value function f(x) = |x|. Let's analyze the transformations and then graph both functions.Transformations:
1. Shifting: The function f(x) = -2|x - 3| + 2 involves a horizontal shift of the absolute value function f(x) = |x|. The term (x - 3) inside the absolute value causes a shift of 3 units to the right.
2. Reflecting: The negative sign in front of the absolute value function reflects the graph across the x-axis. It causes the function to be reflected vertically.
3. Compressing or stretching: There is no compression or stretching factor present in this particular function.
Graph of the basic function f(x) = |x|:
The graph of the basic function f(x) = |x| is a V-shaped graph that passes through the origin (0, 0). It has symmetry with respect to the y-axis.Graph of the given function f(x) = -2|x - 3| + 2:
To graph the given function, we start with the basic absolute value function f(x) = |x| and apply the transformations: a horizontal shift of 3 units to the right and a vertical reflection. The negative coefficient (-2) affects the amplitude, making the graph steeper.
Domain of f(x) = -2|x - 3| + 2:
The domain of the given function is all real numbers since there are no restrictions on the input values of x.
Range of f(x) = -2|x - 3| + 2:
The range of the given function is the set of all real numbers less than or equal to 2, as the vertical reflection and the coefficient (-2) cause the graph to be reflected and stretched downward.
Note: Without specific constraints on the values of x, the domain and range of the given function follow the typical domain and range of absolute value functions.
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Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and
last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch
1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show
2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sente
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use comples
4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a
5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for
sentences, explain how the graphs of the functions for the two months are similar and how they are different.
02.03 Key Features of Linear Functions-Option 1 Rubric
Requirements
Student changes equation to slope-intercept form. Student shows all work and identifies the slope and y-intercept of the
Student writes a description, which is clear, precise, and correct, of how to graph the line using the slope-intercept meth
Student changes equation to function notation. Student explains clearly what the graph of the equation represents.
Student graphs the equation and labels the intercepts correctly.
Student writes at least three sentences explaining how the graphs of the two equations are the same and how they are different.
1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.
2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.
3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.
4. A graph of the function with intercepts is shown below.
5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.
How to change the equation to slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;
2x + 3y = 1,470
By subtracting 2x from both sides of the equation and dividing by 3, we have:
2x + 3y - 2x = 1,470 - 2x
y = -2/3(x) + 490
Therefore, the slope is -2/3 and the y-intercept is 490.
Part 2.
In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.
Part 3.
Next, we would write the equation in function notation as follows;
f(x) = -2/3(x) + 490
where:
f(x) represents the number of wrap lunch sold.x is the number of sandwich lunch sold.The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.
Part 4.
In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.
Part 5.
Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:
2x + 3y = 1593; y = -2/3(x) + 531.
2x + 3y = 1,470; y = -2/3(x) + 490.
In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.
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Complete Question:
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
find the area of each composite figure
Answer:
48 times 14
Step-by-step explanation: