Answer:
The maximum number of tickets Susana can buy is 8.
Step-by-step explanation:
From the information provided, you can say that the total amount spent at the carnival would be equal to the price per ticket for the number of tickets purchased which can be expressed as:
c=3x, where:
c is the total amount spent
x is the number of tickets purchased
Now, you can replace c with 24 that is the amount Susana's parents gave her to spend at the carnival and then, solve for x:
24=3x
x=24/3
x=8
According to this, the answer is that the maximum number of tickets Susana can buy is 8.
-4n+3n is what as an equivalent expression?
Answer:
-n
Step-by-step explanation:
Add -4n and 3n.
Graph y= - |x-3| +4
Answer:
x-1 y-2
x-2 y-2
x-3 y-4
Step-by-step explanation:
graph the points. It should look like a triangle without the bottom.
a function f is question blank 1 of 1 linear on an interval ii if, for any choice of x 1x 1 and x 2x 2 in ii, with x 1
A function f is blank 1 of 1 linear on an interval ii if, for any choice of x1 and x2 in ii, with x1 < x2.
A function f is **question blank 1 of 1** linear on an interval **ii** if, for any choice of **x1** and **x2** in **ii**, with **x1** < **x2**, the function satisfies the properties of a linear function.t
In a linear function, the rate of change (slope) between any two points on the function is constant. This means that the function's value increases or decreases at a constant rate as we move along the interval.
The blank in the question refers to the specific term that should be filled. However, based on the given context, it seems that the most suitable term to fill the blank would be **"is"**. Therefore, the sentence would read as:
"A function f is linear on an interval ii if, for any choice of **x1** and **x2** in **ii**, with **x1** < **x2**, the function satisfies the properties of a linear function."
This statement highlights the key characteristic of a linear function, where the function's behavior between any two points on the interval is consistent and can be represented by a straight line.
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21+17·2−15+1 plz answer
Answer:
24.2 I think
Step-by-step explanation:
21
+ 17.2
38.2
- 15
23.2
+ 1
24.2
Answer: The answer is 39
Step-by-step explanation: You get this answer by following the PEMDAS stragey. You multiply 17 and 2 to get 34. Next, you add 21 adn 34 to get 55. Next, you subtract 15 from 55 to get 40. Finally, you subtract 1 from 40 and get 39.
What does N represent
Answer:
The symbol 'n,' represents the total number of individuals or observations in the sample.
Answer:
The principal quantum number, n, describes the energy of an electron and the most probable distance of the electron from the nucleus. In other words, it refers to the size of the orbital and the energy level an electron is placed in. The number of subshells, or l, describes the shape of the orbital.
Find the average value of the function over the given interval. f(x) = 6 x on [0, 9]
The average value of the function f(x) = 6x over the interval [0, 9] is 27.
To find the average value of a function over a given interval, you need to take the definite integral of the function over that interval, and divide by the length of the interval. In this case, the function is f(x) = 6x, and the interval is [0, 9].
So first, we need to find the definite integral of 6x over [0, 9]:
∫[0,9] 6x dx = 3x^2 |[0,9] = 243
Next, we need to find the length of the interval, which is simply 9 - 0 = 9.
Finally, we divide the definite integral by the length of the interval:
Average value of f(x) = (1/9) * 243 = 27
So the average value of the function f(x) = 6x over the interval [0, 9] is 27.
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2-(4x+8)= -12
Help me please
Answer:
= 3/ 2
Step-by-step explanation:
Answer
5.25
Step-by-step explanation:
hint: anytime you see a - before ( and its not like (for example) -2 then you put a 1 like this -1(
2-1(4x+8)= -12
2-4x+7= -12
(combine like terms [2 and 7 in this case] )
9-4x= -12
(subtract 9)
-4x = -21
(divide by -4)
x=5.25
Hope this helps!
In QRS q=9.6 inches r=9.9 inches and S=92 Find the length of a to the nearest 10th of an inch
Answer:
14
Step-by-step explanation:
delta math gave me the answer
The length of a to the nearest 10th of an inch is 13.6 inches.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
In ΔQRS q=9.6 inches r=9.9 inches and S=92.
So, s² = q² + r² - 2qr cos s
s² = 9.6² + 9.9² + 2(9.6)(9.9) cos 92.
s² = 190.71 + 190.08 x (-0.035)
s² = 183.52
s = 13.55
s = 13.6 inches
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A doctor has invented a relaxation method that he
thinks will relieve anxiety and help students score
higher on exams. He wants to test the method on a
group of statistics students to see if it improves their
scores on the final exam. All of the students have
volunteered to participate.
What is the response variable for the experiment?
Answer:
Exam score
Step-by-step explanation:
The response variable also known as the d pendent variable, is simply the variable we intend to measure based in a set of variables (independent variables or explanatory variables) which might cause it to change. For instance, the scenario above aims to look into how a certain relaxation method will affect the exam score, here, the variable we intend to measure is the response variable which is exam score. The exam score is affected by the impact the relaxation method has on the student, hence, the relaxation method is the independent or explanatory variable.
The improvements in survival rates after a treatment are of key interest. The old treatment has a survival rate of 75%. The expected survival rate with the new treatment is 85%. Two-sided significant difference at a level of 5% is required. With a sample size of 35, what is the expected power of the test
The power of the test is low and not sufficient to detect a significant difference between the two treatments with the given sample size of 35.
To calculate the expected power of the test, we need to consider the survival rates, the significance level, and the sample size. Let's follow these steps:
Determine the proportions
Old treatment survival rate (p1) = 0.75
New treatment survival rate (p2) = 0.85
Determine the significance level
Two-sided significant difference level (α) = 0.05
Calculate the pooled proportion
Pooled proportion (p) = (p1 + p2) / 2 = (0.75 + 0.85) / 2 = 0.80
Calculate the standard error
Standard error (SE) = √(p × (1 - p) × (1/n1 + 1/n2)) = √(0.80 × (1 - 0.80) × (1/35 + 1/35)) ≈ 0.065
Calculate the test statistic (z)
z = (p2 - p1) / SE = (0.85 - 0.75) / 0.065 ≈ 1.54
Find the critical value for the two-sided significant difference at the 5% level
z_critical = 1.96 (from a standard normal distribution table)
Calculate the power of the test
In this case, since the test statistic is smaller than the critical value (1.54 < 1.96), we cannot reject the null hypothesis at the 5% significance level.
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If 6x+5y=3 is a true equation, what would be the value of −30x−25y?
Answer:-15
Step-by-step explanation:
multiplying both sides by -5 gives -30x-25y=-15
Identify the equation that describes the line in slope-intercept form.
slope =−1/3, point (−2,3) is on the line
Answers are attached. Please help
Answer:
1 is the correct option
I think so
The equation describes the line in the slope-intercept form will be y = (1/3)x +(2/3). Option A is correct.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)
It is given that the slope of the line is −1/3 and passes through the points (−2,3)
A straight line is a combination of endless points joined on both sides of the point. It is shown by the slope-intercept form.
The standard form of the slope-intercept is,
y-y₁ = m(x-x₁)
y-3=−1/3(x-(-2)
y-3=-1/3(x+2)
y = -1/3 x - 2/3 +3
y= -1/3x -7/3.
Thus, the equation describes the line in the slope-intercept form will be y = (1/3)x +(2/3). Option A is correct.
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a rectangular storage with a square base and an open is to have a volume of 144 cubic meters. materila fo the base 9 dollars per square meter. material for the sides cost 2 dollars per squire meter. find the dimensions for the cheapest such container
The dimensions that minimize the cost are a square base with side length 4 meters and a height of 9 meters.
Let's assume the side length of the square base is x meters. The height of the container is h meters.
Volume = Length × Width × Height
144 = x² × h
144 = x²h
The cost of the base is given as $9 per square meter, and the area of the base is x² square meters. Therefore, the cost of the base is $9x².
The cost of the sides is given as $2 per square meter, and the area of each side is xh square meters. Since there are four sides, the total cost of the sides is 4 × $2 × xh = $8xh.
The total cost is the sum of the cost of the base and the cost of the sides:
Cost = $9x² + $8xh
Cost = $9x² + $8x(144 / x²)
Cost = $9x² + $1152/x
To find the dimensions that minimize the cost, we can take the derivative of the cost equation with respect to x, set it equal to zero, and solve for x.
d(Cost)/dx = 18x - 1152/x² = 0
18x³ - 1152 = 0
x³ = 1152 / 18
x³ = 64
x = 4
So, the side length of the square base is 4 meters. Substituting this value into the volume equation, we can find the height:
144 = 4² × h
144 = 16h
h = 9
Therefore, the dimensions that minimize the cost are: length = 4 meters and height = 9 meters.
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Which of the below is the only correct
similarity statement for the two triangles?
A computer processes tasks in the order they are received. Each task takes an Exponential amount of time with the average of 2 minutes. Compute the probability that a package of 5 tasks is processed in less than 8 minutes.
The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.
Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.
The probability of X being less than 8 minutes is given by:
P(X ≤ 8) = 1 - P(X > 8)
= \(1 - (1 - e^{(-8/2)}^{5}\)
= 0.963
Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.
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Solve for x :
\(\qquad \rightarrow\bf 4x + 9x + 2x = 30\)
I Need explanation
Answer:
x=2
Step-by-step explanation:
combine like terms to get 15x=30. divide by 15 on both sides to get x=2
Answer:
x=2
Step-by-step explanation:
1. Simplify the expression
4x+9x+2x=30
Simplify the arithmetic:
15x=30
2. Isolate the x
15x=30
Divide both sides by 15:
\(\frac{15x}{15}=\frac{30}{15}\)
Simplify the fraction:
\(x=\frac{30}{15}\)
Find the greatest common factor of the numerator and denominator:
\(x=\frac{2\cdot 15}{1\cdot 15}\)
Factor out and cancel the greatest common factor:
\(x=2\)
Why learn this
Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.
Terms and topics
Linear equations with one unknownNEED HELP ASAP! WILL GIVE BRAINLIEST!!
1. Two friends are reading books. Jimmy reads a book with 21,356 words. His friend Bob reads a book with one-and-a-half times as many words. Which expression represents the number of words Bob reads?
1. 21,356 x 2
2. 21,356 x one fourth
3. 21,356 x one half
4. 21,356 x one and one half
________________________________________
———————————————————————————
..................................................................................................
2. Which equations have a value less than 6,766?
A. one fourth x 6,766 = ________
B. 6 x 6,766 = ________
C. one half x 6,766 = ________
D. 1 x 6,766 = ________
1. A and C
2. D and B
3. A and B
4. C and D
Answer:
Answer for 1
3. 21,356 x one half
Answer for 2
1. A and C
Step-by-step explanation:
true or false The links in the blockchain that is created using an algorithm.
True, the links in the blockchain are created using an algorithm.
What is blockchain? Blockchain is a decentralized ledger technology that enables the secure exchange of digital assets across a network of participants without the need for a centralized authority or intermediary. The blockchain is created using an algorithm to secure the network and ensure that all transactions are transparent and verifiable.
In a blockchain, each block contains a cryptographic hash of the previous block, forming a chain of blocks (hence the name "blockchain"). The algorithm used to create the blockchain is a consensus algorithm, which ensures that all participants on the network agree on the same state of the ledger.
This consensus algorithm also ensures that no single participant can manipulate the ledger or change the contents of a block without being detected.
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A box contains 1079 counters which are coloured either black, white or red.
The ratio of black counters to white counters is 2:7
The ratio of white counters to red counters is 3 : 8
Calculate the number of red counters that are in the box.
Optional working
+
Answer:
red counters.
The total number of red counters that are in the box is; 728 red counters
We are told that the box contains 1079 counters.Let the number of white counters be x.
Let the number of red counters be y.
Let the number of black counters be z.
Thus;
z:x = 2:7
Thus; 2x/7 = z
Also, we are given;
x:y = 3:8
Thus;
8x/3 = y
Since total number in the box is 1079,then;x + y + z = 1079
x + (8x/3) + (2x/7) = 1079
Multiply through by 21 to get;
21x + 56x + 6x = 22659
83x = 22659
x = 22659/83
x = 273
2x/7 = z
Thus; z = 2 × 273/7
z = 78
8x/3 = y
y = 8 × 273/3
y = 728
Thus,there are;273 white counters
728 red counters
78 black counters.
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48 squared + x squared = 50 squared
Answer:
Step-by-step explanation:
a² - b² = (a + b)(a - b)
48² + x² = 50²
x² = 50² - 48²
= (50 +48)(50 -48)
= 98 * 2
x² = 196
x = √196
\(x = \sqrt{2*2*7*7}\\\\x = 2*7\\\\x = 14\)
what is bigger 5.6% or square root of 27
square root of 27 is bigger.
What is percentage ?
In math, one percent is equal to a hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice that amount
First calculating square root of 27 :
\(\sqrt{27}=5.196\)
and 5.6 % is 0.056
clearly \(\sqrt{27}\) is greater than 5.6%
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You will be assessed on the quality of your written communication in this part of the
question.
Free-world Travel charges each customer £130 for travel insurance.
Last month, Free-world Travel had 6000 customers.
Free-world Travel has previously noticed that 80% of its customers buy holiday insurance.
Of these customers, approximately 30% claim on their travel insurance.
Free-world Travel typically pays out between £400 and £500 for each claim.
Free-world Travel needs to estimate how much profit or loss they are likely to make from
travel insurance last month.
Calculate this estimate.
You must show all your working.
Answer:
anwers c
Step-by-step explanation:
The table below describes band members at Mike’s school.
Band Member Knowledge of Instruments
Can Only Play
One
Instrument
Can Play
More than One Instrument
Grade 6
15
6
Grade 7
20
8
Grade 8
18
7
Mike used the computation StartFraction 7 Over (6 + 8 + 7) almost-equals 0.33 = 33 percent to find the percentage of eighth-grade band members who can play more than one instrument. What error did Mike make?
Mike included 7 when finding a sum to use as the denominator of his fraction.
Mike used the total of the column containing 7 as his denominator instead of the total of the row containing 7.
Mike should have used the sum of all the cell values as his denominator.
Mike should have used the number of eighth-grade students who can only play one instrument as the denominator of his fraction.
The mistake that Mike made in calculating the percentage of eighth-grade band members who can play more than one instrument is given as follows:
Mike used the total of the column containing 7 as his denominator instead of the total of the row containing 7.
How to calculate a percentage?A percentage is calculated applying proportions, as it is given by the division of the number of desired outcomes by the number of total outcomes.
In the context of this problem, the outcomes are given as follows:
The desired outcomes are the 7 8th grade students that play more than one instrument.The total outcomes are the 18 + 7 = 25 8th grade students.Hence the percentage is expressed as follows:
7/25 x 100%.
Meaning that the mistake was in the sum, in identifying the total outcomes.
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A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?
Answer: 33
To maximize the length of the third side, which I'll call x, it needs to be the longest side.
So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.
What is -5⅓ + 2¾? Please help me-
Answer: \(-\frac{31}{12}\)
Step-by-step explanation:
Find the minimum and maximum values of z=5x+6y, if possible, for the following set of constraints. x+y≤5
−x+y≤3
2x−y≤8
Select the coerect choice below and, if necessary, fil in the annwer box to complete your choice. A. The minimum value is (Round to the nearest tenth as needed.) B. There is no minimum value.
A. The minimum value is 18 (Round to the nearest tenth as needed.)
B. There is no minimum value.
A. To solve this problem, we can graph the feasible region formed by the intersection of the given constraints. The feasible region represents the set of points that satisfy all the constraints simultaneously.
Upon graphing the given constraints, we find that the feasible region is a triangle with vertices at (0, 3), (4, 1), and (5, 0).
Next, we evaluate the objective function z = 5x + 6y at each vertex of the feasible region.
z(0, 3) = 5(0) + 6(3) = 18
z(4, 1) = 5(4) + 6(1) = 26
z(5, 0) = 5(5) + 6(0) = 25
Thus, the minimum value of z is 18, which occurs at the vertex (0, 3) within the feasible region.
B. To solve this problem, we can graph the feasible region formed by the intersection of the given constraints. The feasible region represents the set of points that satisfy all the constraints simultaneously.
Upon graphing the given constraints, we find that the feasible region is unbounded and extends indefinitely in certain directions.
Since the feasible region is unbounded, there is no finite minimum value for the objective function z = 5x + 6y. The value of z can be arbitrarily large or small as we move towards the unbounded regions.
Therefore, in this case, there is no minimum value for z.
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f(x)=3x+5 and g(x)=2x+1
value of x
You can treat x and 2x+1 just as though they are real numbers.
So f(2x+1) = 3(2x+1) - 5 = 6x + 3 - 5 = 6x - 2
In the above, I made use of something called the distributive law which says that if a,b and c are real numbers, then a(b+c) = ab + ac.
Among the following rational numbers, which has the greatest value?
F. 0.34
G. 0.37
H. 0.34
J. 0.343
K. 0.3409
cai writes down the list of positive integers, excluding squares and cubes. his sequence starts \[2, \ 3, \ 5, \ 6, \ 7, \ 10, \ 11, \ \dots.\]what is the $1000$th term in cai's list?
The 1000th term in Cai's list is 1505.
What is Number system?A writing system used to express numbers is known as a number system. It is the mathematical notation used to consistently express the numbers in a particular set using digits or other symbols. It represents the arithmetic and algebraic structure of the numbers and offers a distinctive representation for each number.
Now, For the 1000th term in Cai's list of positive integers excluding squares and cubes, we need to continue the sequence until we reach the 1000th term.
Starting with 2, we skip 1 and 4 (which is 2 squared),
so 3 is the third positive integer.
Next, we skip 8 (which is 2 cubed) and include 5, 6, and 7.
Skipping 9 (which is 3 squared), we add 10 and 11.
Skipping 16 (which is 2 to the fourth power), we include 12, 13, 14, and 15.
Skipping 25 (which is 5 squared), we add 17, 18, 19, 20, 21, 22, 23, and 24.
Skipping 27 (which is 3 cubed), we add 26 and 28.
Skipping 36 (which is 6 squared), we include 29, 30, 31, 32, 33, 34, 35, and 37.
Skipping 49 (which is 7 squared), we add 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, and 48.
Skipping 64 (which is 2 to the sixth power), we include 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, and 63.
Skipping 81 (which is 3 to the fourth power), we add 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, and 89.
Skipping 100 (which is 10 squared), we include 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 101, and so on.
By the time we reach the 1000th term, we will have found the first 999 positive integers excluding squares and cubes.
Therefore, the 1000th term in Cai's list is 1505.
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Given 4 and one tenth times negative 4 times 5 over 12, determine the product.
The word problem 4 and one tenth times negative 4 times 5 over 12 have a product of negative 8 and one fifth
How to find the product of the word problemMultiplication is one of the basic mathematical operator which is used to solve the given problem. It is the inverse of division. the result of multiplication is called the product
Rewriting the word problem 4 and one tenth times negative 4 times 5 over 12 to figures
4 1/10 * -4 * 5/10
solving the equation
= 4 1/10 * -4 * 5/10
= 41/10 * -4 * 5/10
= -41/5
= -8 1/5
The product of the multiplication is negative 8 and one fifth
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