(04.04 MC)
Which of the following is a linear function? (1 point)
O y = 3x²
Oy
y =
1
3x
Oy=x³+5
○ 3x-y-1
3
The linear function is 2/3 x=y-1. Therefore, option D is the correct answer.
What is linear function?A linear function is a function that represents a straight line on the coordinate plane. The standard form of a linear function is y = mx + b.
Here, 'm' is the slope of the line, 'b' is the y-intercept of the line, 'x' is the independent variable and 'y' (or f(x)) is the dependent variable.
Option A:
In the function y=3x², the highest degree is 2, so it is quadratic function.
Option B:
The function y=1/3x is not a linear function.
Option C:
In the function y=x³+5, the highest degree is 3, so it is cubic function.
Option D:
In the function 2/3 x=y-1, the highest degree is 1, so it is linear function.
The linear function is 2/3 x=y-1. Therefore, option D is the correct answer.
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Which net represents this solid figure?
Right rectangular prism is the net which represents the solid figure required figure
In three-dimensional space, prisms is a polyhedron where two ends are similar.
We want to find the solid figure.
Solids or three-dimensional forms in geometry are objects that have the three dimensions (length, width, and height).
From the given choices;
right rectangular prism is required figure.
Therefore, right rectangular prism is required figure.
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Paul uses ⅚ of a bag of flour to make a box of lemon tarts. Hiw many such boxes or lemon tarts can he make with 10 bags of flour PLEASE HELP
What is 2 1/2 ÷ 2 5/8
Answer: THE ANSWER IS 20/21
Step-by-step explanaTion:
Answer:
\(5\frac{1}{8}\)
Step-by-step explanation:
\(=\frac{5}{2} +\frac{21}{8}\)
\(=\frac{40+42}{16}\)
\(=\frac{82}{16}\)
\(=\frac{41}{8}\)
\(=5\frac{1}{8}\)
Hope this helps
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A passenger train left the station and traveled toward Las Vegas at an average speed of 55mph. A cattle train left at the same time and traveled in the opposite direction with an average speed of 65mph. Which equation best represents this situation when the trains are 960 mi apart?
A - 65x - 55(2) = 960
B - 65x - 55x = 960
C - 65x + 55(2) = 960
D - 65x + 55x = 960
E - 65(2) + 55x = 960
Answer:
The answer is b
Step-by-step explanation:
The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:
55x + 65x = 960
Simplifying the left-hand side of the equation, we get:
120x = 960
Dividing both sides by 120, we get:
x = 8
Therefore, the correct equation is:
B - 65x - 55x = 960
CAN SOMEONE HELP ME PLEASE ASAP!?
HELP WILL MARK BRAINLIEST
Answer:
i think d
Step-by-step explanation:
im so sorry if this is wrong but im almost positive its d
please mark brainliest
hassan built a fence around a square yard. it took 48 m 2 48 m 2 48, start text, space, m, end text, squared of lumber to build the fence. the fence is 1.5 1.51, point, 5 meters tall. what is the area of the yard inside the fence?
The fence surrounds a square yard with an area of 64 square meters. We first have to find length of fence and then multiply it by itself.
Given that it took 48 square meters of lumber to build the fence, and the fence is 1.5 meters tall, we can calculate the area of the yard inside the fence. To do this, we need to determine the total length of the fence. If we assume that the fence is built around a square yard, then the length of each side of the yard will be equal to the total length of the fence divided by 4.
Let's call the length of each side of the yard x. Then, the area of the yard inside the fence is x * x, or x^2. The total length of the fence is 4 * x. Since the fence is 1.5 meters tall, the total area of the lumber used to build the fence is 4 * x * 1.5, or 6x. This is equal to 48 square meters, so we have the equation:
6x = 48.
Solving for x,
x = 8.
Therefore, each side of the yard is 8 meters long.
Area of the yard inside the fence = 8 * 8 = 64 square meters.
This means that the fence surrounds a square yard with an area of 64 square meters.
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Caroline walks 912 inches per second. As unit rate
Answer:
specify please
Step-by-step explanation:
Answer:
I have been trying to get this answer for the longest
Step-by-step explanation:
Which shows one way to determine the factors of x³ + 5x² - 6x - 30 by grouping?
O x(x²-5) + 6(x²-5)
O x(x² + 5)-6(x² + 5)
O x²(x - 5) + 6(x - 5)
O x²(x + 5)-6(x + 5)​
The correct answer is: O x(x² + 5) - 6(x + 5)
To determine the factors of the polynomial x³ + 5x² - 6x - 30 by grouping, we can factor out the greatest common factor (GCF) of the first two and the last two terms. In this case, the GCF of the first two terms is x and the GCF of the last two terms is -6. If we factor out x from the first two terms and -6 from the last two terms, we get:
x(x² + 5) - 6(x + 5)
Now we can see that x(x + 5) and -6(x + 5) are binomials that have the same factor (x + 5) in common. This allows us to factor out the common factor x + 5 and get:
(x + 5)(x² - 6)
This is one way of factoring x³ + 5x² - 6x - 30 by grouping.
It's important to note that the polynomial x³ + 5x² - 6x - 30 also has other factorizations.
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Please help with 19 and 20 find domain and range
What is domain and range of a relation with example?
The domain refers to all the values that can be entered into a relation or function (input). The set of all initial elements in ordered pairs constitutes the domain (x-coordinates). The set of all second items in ordered pairs is the range (y-coordinates). The range only consists of the elements "used" by the relation or function.
The domain (what goes in) of a straightforward function like f(x) = x2 can be limited to counting numbers 1, 2, 3, etc., and
The range will then be set to 1, 4, 9, etc. Another function, g(x) = x2, may have an integer domain of..., -3, -2, -1, 0... 1, 2, 3, and its range is..., 1, 4, 9,...
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what is integral of 1/square root of (a^2 - x^2)
For the given problem, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\) is \($\sin^{-1}\frac{x}{a} + C$.\)
What is an 'integral' in mathematics?A mathematical notion that depicts the area under a curve or the accumulation of a quantity over an interval is known as an integral. Integrals are used in calculus to calculate the total amount of a quantity given its rate of change.
The process of locating an integral is known as integration. Finding an antiderivative (also known as an indefinite integral) of a function, which is a function whose derivative is the original function, is what integration is all about. The antiderivative of a function is not unique since it might differ by an integration constant.
For given problem,
\($\int \frac{1}{\sqrt{a^2-x^2}} dx$\)
Let \($x = a \sin\theta$\) , then \($dx = a \cos\theta d\theta$\)
\($= \int \frac{1}{\sqrt{a^2-a^2\sin^2\theta}} a\cos\theta d\theta$\)
\($= \int \frac{1}{\sqrt{a^2\cos^2\theta}} a\cos\theta d\theta$\)
\($= \int d\theta$\)
\($= \theta + C$\)
Substituting back for\($x = a\sin\theta$:\)
\($= \sin^{-1}\frac{x}{a} + C$\)
Therefore, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\) is \($\sin^{-1}\frac{x}{a} + C$.\)
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please help with this question!
Answer:
x<-3
Step-by-step explanation:
What is a ratio that compares a quantity to 100
Answer:
_:100
Step-by-step explanation:
I think lol
Fill in the blank with an expression equivalent to v+v+v.
Answer:
3v
Step-by-step explanation:
Answer:
v???
Step-by-step explanation:
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
After solving the given expression the values for x will be equal to x = 1 and x = 13.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given information in the question,
The given equation is,
(x - 7)² = 36
x - 7 = √36
x = ±6
Then the values for x will be,
x1 = 6 + 7 = 17
x2 = -6 + 7 = -1
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Let X (3, 0.02). Given Tx = 300 calculated by the Esscher Premium Principle with parameter 1, calculate h
The value of h is 99.969.
The Esscher Premium Principle is a method of calculating insurance premiums that considers the risk of an event occurring and the potential severity of the loss. The formula for the Esscher Premium Principle is:
Ex = ln(∑eαx Px)/α
Where Ex is the Esscher premium, α is the parameter, x is the loss amount, and Px is the probability of the loss occurring.
In this case, we are given X (3, 0.02), meaning that the loss amount is 3 and the probability of the loss occurring is 0.02. We are also given that the Esscher premium is 300 and the parameter is 1. Plugging these values into the formula, we get:
300 = ln(∑e1(3) 0.02)/1
Simplifying the equation, we get:
300 = ln(0.02e3)
Taking the natural logarithm of both sides, we get:
e300 = 0.02e3
Dividing both sides by 0.02, we get:
e300/0.02 = e3
Taking the natural logarithm of both sides again, we get:
300 - ln(0.02) = 3
Solving for h, we get:
h = (300 - ln(0.02))/3
h = 99.969
Therefore, the value of h is 99.969.
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Cost of a radio: $43.95
Markup: 80%
Discount: 55%
Tax: 1%
Some of the values that can be obtained from the given parameters are as
follows;
Profit is $35.16Selling price is $79.11Discount amount is $96.69Marked price is $175.8Amount paid is $79.9011Reasons:
The cost is the amount by which the radio is obtained.
\(Markup = \dfrac{Profit}{Cost}\)
\(Discount \ percentage = \dfrac{Discount }{Marked \ price} \times 100\)
Discount = Listed price - Selling price
Tax amount = Total price × Tax rate
Therefore, we have;
Profit = Cost × Markup = 43.95 × 80% = 35.16
Selling price = Cost + Profit
Therefore;
Selling price = 43.95 + 35.16 = 79.11
Selling price = $79.11\(Marked \ Price = \dfrac{Selling \ price}{1 - \dfrac{Percentage \ discount}{100} }\)
\(Marked \ Price = \dfrac{79.11}{1 - \dfrac{55}{100} } = 175.8\)
Marked price = $175.8The discount = 175.8 - 79.11 = 96.69
Discount amount = $96.69Total amount paid = Selling price + Tax
Therefore;
Total amount paid = 79.11 + 0.01 × 79.11 = 79.9011
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find the missing number 2/3 = 16/?
Answer: 24
Step-by-step explanation:
2/3 = 16/?
since 2 times 8 is 16 we multiply the denominator by 8.
3x8 is 24.
therefore 2/3 = 16/24
(2x2 3+2)x(4x2 3-1/2)
Answer:
85.5
Step-by-step explanation:
Answer:
(2*2 3+2) * (4*2 3-1/2)
(4*5) * (8*3-0.5) = (8*2.5)
20*200
4000
Let random variable S represent the age of the attendees at a local concert. The following histogram shows the probability distribution of the random variable S.
Alfonso claims that the distribution of S is symmetric with a mean age of 36. Does the histogram support Alfonso's claim?
The histogram doesn't support Alfonso's claim and the correct option is 5: No, the distribution is skewed to the left with a mean age greater than 36.
What is a histogram?
A histogram is a graphic depiction of a frequency distribution with continuous classes that has been grouped. A series of rectangles with bases equal to the distances between class boundaries and areas proportional to frequencies in the associated classes make up the area diagram.
Consider the given histogram at the photo below. It is an left-skew histogram, since it has a long tail to the left side.
We need to estimate the mean of the given data. To do so, we need to multiply each class midpoint with its probability, and sum them.
For example, for the first one, the midpoint is 32 and the probability is 0.03 (read the value on the y-axis). For, the second one, the midpoint is 33 and the probability is 0.04, for the third the midpoint is 34 and the probability is 0.05, and so on. All needed values are presented below.
1. midpoint = 32, probability= 0.03
2. midpoint = 33, probability = 0.04
3. midpoint = 34, probability = 0.05
4. midpoint = 35, probability = 0.1
5. midpoint = 36, probability =0.11
6. midpoint = 37, probability = 0.13
7. midpoint = 38, probability = 0.2
8. midpoint = 39, probability = 0.09
So, it is obtained that -
μ = 0.03 · 32 + 0.04 · 33 + 0.05 · 34 + 0.10 · 35 + 0.11 · 36 + 0.13 · 37 + 0.25 · 38 + 0.20 · 39 + 0.09 · 40
μ = 37.15
Therefore, this histogram is left-skewed with mean greater than 36.
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ravelocity would like to test if the average roundtrip airfare between new york and london differs from $1,400. the correct hypothesis statement for this test would be
The "hypothesis of no change," "status quo," and "conventional wisdom" are all alternative names for the null hypothesis. Unless there is overwhelming evidence to the contrary, the null hypothesis is assumed to be correct.
H0: u = 1: u ≠ 1,400
When testing hypotheses with the P value, the null hypothesis is rejected if?
The evidence against the null hypothesis is stronger when the p-value is smaller (closer to 0).If the p-esteem is not exactly or equivalent to the predetermined importance level α, the invalid speculation is dismissed;The null hypothesis is not rejected otherwise.
A statement of expectation or prediction that will be tested by research is called a research hypothesis. Read up on the subject that interests you before coming up with your research hypothesis.
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Combine like terms.
(-2z - 3) + (4c + 6y) + (7 + 3c)
A student-athlete wants to sell hot dogs for a game. She has to pay a vendor fee of $3000 for the season & equipment will cost her $4500 for the season. Each hot dog sold will cost her $0.35. She anticipates selling 2000 hot dogs at the game.
To break even, what price should she charge for each hot dog?
To determine the price the student-athlete should charge for each hot dog to break even, we need to consider the total costs she incurs, including the vendor fee, equipment cost, and the cost per hot dog. By dividing the total costs by the anticipated number of hot dogs sold, we can find the price per hot dog that would allow her to break even.
The total costs for the student-athlete include the vendor fee of $3000 and the equipment cost of $4500, which sums up to $7500 for the season. Additionally, she incurs a cost of $0.35 per hot dog sold. With an anticipation of selling 2000 hot dogs, the total cost for the hot dogs would be 2000 x $0.35 = $700.
To break even, the total revenue from selling the hot dogs should cover the total costs. Therefore, the price per hot dog should be set in such a way that the revenue from selling 2000 hot dogs equals $7500. Dividing the total costs ($7500) by the number of hot dogs (2000), we find that the student-athlete should charge $3.75 per hot dog in order to break even. This price per hot dog would allow her to cover all her expenses and reach the break-even point.
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Which inequality represent the following situation?
The captain must have a minimum of 120 hours of flying experience
A. H_>120
B. H <_120
C. H < 120
D. H>120
The correct inequality that represents the situation is:
D. H > 120
The inequality H > 120 represents the situation accurately. Here's the reasoning:
The symbol ">" represents "greater than," indicating that the value of H (captain's flying experience hours) must be greater than 120. The inequality states that the captain must have more than 120 hours of flying experience to meet the minimum requirement.
Option A (H_ > 120) is incorrect because it uses an underscore instead of a symbol, making it an invalid representation.
Option B (H <_ 120) is also incorrect because it uses the less than or equal to symbol instead of the greater than symbol, which contradicts the situation's requirement.
Option C (H < 120) is incorrect because it uses the less than symbol, indicating that the captain's flying experience must be less than 120 hours, which is the opposite of what the situation demands.
Therefore, the correct representation is option D, H > 120.
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surface area of composite figures
Answer:
mark me brainliest hope your day goes wellStep-by-step explanation:
The area of the composite figures is the area of one or more simple polygons and circles combined. We can add the areas of all the basic figures together to calculate the area of the composite figures. Find the area of each shape and add them together to find the area of the composite figure.Answer:
The surface area is the sum of all the faces (or surfaces) of a 3D shape. Composite figures are 2 figures put together. (There is an example of a composite figure below) You find an area of both shapes and then add them together, to find the area of the full figure.
Step-by-step explanation:
What is the diameter of the circle shown above?
A) 1 inch
B) 3.14 inches
C) 8 inches
D) 16 inches
HURRY PLEASE DUE IN A FEW MINUTES!!! WILL MARK THANKS, 5 STARTS AND BRANLIEST IF RIGHT!!!!!!
Answer:
D. 16 in.
Step-by-step explanation:
The radius of the circle is 8 in. The diameter of any circle is twice the radius.
2 x 8 = 16
The diameter is 16 in. long.
I hope this helped :)
Does anybody know the answer to all of these?
Answer:10
Step-by-step explanation:
2+4+6+6+9+13+30=70
70 divided by 7= the mean should be 10
Answer:
the mode is 6 the median is also 6 the range is 28 the mean is 10
Step-by-step explanation:
In a study of cell phone usage and brain hemispheric dominance, an internet survey was e-mailed to subjects randomly selected from an online group involved with ears. There were surveys returned. Use a 0. 01 significance level to test the claim that the return rate is less than 20%. Use the p-value method and use the normal distribution as an approximation to the binomial distribution.
The statistics z is -1.878 and the p value is 0.0302
Given,
Number of random sample selected, n = 6967
Number of surveys returned, x = 1331
Estimated proportion of return rate;
p = 1331/6967 = 0.192
Significance level, ∝ = 0.01
z would represent the statistic
We investigate the assertion that the return rate is less than 20%, and the following hypotheses are tested:
Null hypothesis, p₀ ≥ 0.2
Alternative hypothesis, p₀ < 0.2
The statistics, z = (p - p₀) / √(p₀(1 - p₀)/n)
That is,
z = (0.191 - 0.2) / √(0.2(1 - 0.2)/6967) = -1.878
Using the alternative hypothesis and the following probability, we can now get the p value:
p value = p(z < - 1.878) = 0.0302
We fail to reject the null hypothesis when the p value exceeds the significance level of 0.01 and there is insufficient evidence to support the conclusion that the return rate is less than 20% at 1% of significance.
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