The domain of x will be a set of whole numbers greater than 2 which is; x > 2
The range of y will be a set of rational numbers greater than or equal to 1.5 which is; y ≥ $1.5
What is the domain and range?
The domain of a function is defined as the set of all possible input values that make the function possible while range is the set of all possible output values that are possible from the input values.
The function is; y = 0.5x
Since the value of x represents the number of people that purchased tickets for the rides including Neville, then we can say that the domain of x will be a set of whole numbers greater than 2 because we are told it is him and his friends which is plural. Thus;
The domain is; x > 2
The range will be;
y ≥ 3(0.5)
y ≥ $1.5
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PLEASEEE HEELP MEEE
Step-by-step explanation:
From the picture provided, we are shown either the radius or diameter for a circle as the question. We need to find the area and the circumference of each question and match them up.
Diameter= straight line that passes through the center of the circle
Radius = 1/2 diameter
Area of Circle : \(\pi r^{2}\)
Circumference of Circle: \(2\pi r\) or \(\pi d\) (2r=d)
Where r = radius, d = diameter, and π can be abbreviated to 3.14
Now to find each value just plug in the values of radius or diameter into the formulas and match them up to the area and the circumference.
PLEASE HELP mE: Expand the expression 0.9(7x - 1) + 9?
Answer:
6.3x+8.1 simplify
Step-by-step explanation:
The graph shows two lines, Q and S. A coordinate plane is shown with two lines graphed. Line Q has a slope of one half and crosses the y axis at 3. Line S has a slope of one half and crosses the y axis at negative 2. How many solutions are there for the pair of equations for lines Q and S? Explain your answer. (5 points)
The equations for lines Q and S can be written as:
Line Q: y = (1/2)x + 3
Line S: y = (1/2)x - 2
The given information describes two lines, Q and S. Line Q has a slope of one-half and crosses the y-axis at 3, while Line S also has a slope of one-half and crosses the y-axis at -2.
Since both lines have the same slope, one-half, they are parallel to each other. When two lines are parallel, they never intersect, meaning there are no solutions to the system of equations formed by their equations.
In this case, the equations for lines Q and S can be written as:
Line Q: y = (1/2)x + 3
Line S: y = (1/2)x - 2
As the lines have the same slope but different y-intercepts, they are parallel and will not cross each other. Thus, there are no common points of intersection and no solutions to the system of equations formed by the lines Q and S.
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What is the sampling method that involves taking a random selection of people from a defined population?.
Translate each inequality
"18 less than the quotient of a number and -5 is no less than 31"
Answer:61
Step-by-step explanation:
Solve the Equation. 4-2 (x+7) = 3 (x+5)
Answer:
x = -5
Step-by-step explanation:
4 -2(x+7) = 3(x+5)
Use the distributive property to simplify.
4 - 2x - 14 = 3x + 15
Combine like terms.
-10 - 2x = 3x + 15
Subtract 15 on both times,
-25 - 2x = 3x
Add 2x on both sides.
-25=5x
Divide 5 on both sides.
x=-5
Help me please I am having trouble figuring out the answer. Help me find the ratio.
Answer:
not equivalent to meteorologists ratio
Step-by-step explanation:
meteorologists ratio is
rainy days : sunny days = 2 : 5
last months weather is
rainy days : sunny days
= 10 : 20 ( divide both parts by LCM of 10 )
= 1 : 2 ← not equivalent to 2 : 5
2/3 |3x – 6| = 4(x - 2)
solve for the absolute values
Answer: |3x-6| = 0
X = 2
Step-by-step explanation:
2/3 (|3x-6|) = 4x - 8 (divide both sides be 2/3)
3x-6 = (4x-8)/2/3. 4x:2/3 = 12/2 =6x -8:2/3 = - 24/2= - 12
3x-6 = ( 12x - 24 )/2 (multiply both sides by 2)
6x - 12 = 12x -24
12 = 6x
X= 2
sat math scores follow a normal distribution with a mean of 511 and a standard deviation of 110. suppose we choose a student at random. what is the probability that the student scores between 450 and 600?
The probability that a student scores between 450 and 600 on the SAT math section is approximately 0.4147 or 41.47%.
To find the probability that a student scores between 450 and 600 on the SAT math section, we need to use the properties of the normal distribution. We know that the mean is 511 and the standard deviation is 110.
First, we need to standardize the values of 450 and 600 using the formula:
z = (x - μ) / σ
where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.
For 450:
z = (450 - 511) / 110 = -0.55
For 600:
z = (600 - 511) / 110 = 0.81
Next, we need to find the area under the normal curve between these two standardized values. We can use a table or a calculator to find that the area between z = -0.55 and z = 0.81 is approximately 0.4147.
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Sam purchases five goldfish and an aquarium with a rectangular base. The aquarium measures twenty-four inches long, eight inches wide, and ten inches tall. Sam fills the aquarium with water so that one inch of space remains at the top. How many cubic inches of water are in Sam's aquarium?
Answer: \(1728\ in.^3\)
Step-by-step explanation:
Given
The dimension of the rectangular base aquarium is \(24\ in.\times 8\ in.\times 10\ in.\)
The gap between top and water level is \(1\ in.\) i.e. water is filled up to a height of \(10-1=9\ in.\)
Now, the dimensions of the water in the aquarium is \(24\ in.\times 8\ in.\times 9\ in.\)
The volume of a rectangular base prism is \(l\times b\times h\)
The volume of water in the aquarium is
\(\Rightarrow V=24\times 8\times 9=1728\ in.^3\)
How can this set be expressed using inequalities?
This set can be expressed using inequalities by identifying the minimum and maximum values of the set and using the appropriate inequality symbols to represent them.
For example, if the set is {2, 3, 4, 5}, the minimum value is 2 and the maximum value is 5. This can be expressed using inequalities as 2 ≤ x ≤ 5, where x represents the values in the set.
Similarly, if the set is {1, 2, 3, 4, 5, 6, 7, 8, 9}, the minimum value is 1 and the maximum value is 9. This can be expressed using inequalities as 1 ≤ x ≤ 9.
In general, a set can be expressed using inequalities by identifying the minimum and maximum values and using the appropriate inequality symbols to represent them.
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3. A gas is bubbled through water at a temperature of 30 ° C and at an atmospheric pressure of 95.9kPa. What is the pressure of the dry gas?
The pressure of the dry gas is 91.7 kPa.
Given that a gas is bubbled through water at a temperature of 30 °C and an atmospheric pressure of 95.9 kPa.
The pressure of the dry gas needs to be calculated. This can be done using the Dalton's law of partial pressures.
According to Dalton's Law of Partial Pressures, The total pressure (P) of a gas mixture is equivalent to the sum of the partial pressures of the gases in the mixture.
Therefore, P = P₁ + P₂ + P₃ + ...where P₁, P₂, P₃, etc. are the partial pressures of the individual gases in the mixture.
The pressure of the dry gas can be calculated as follows:
Given, atmospheric pressure = 95.9 kPa Temperature of the gas = 30 ° C
The pressure of the water vapor = pressure exerted by the water vapor at 30 ° C = 4.2 kPa
Total pressure = atmospheric pressure - pressure of water vapor = 95.9 kPa - 4.2 kPa = 91.7 kPa
Therefore, the pressure of the dry gas is 91.7 kPa.
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Jamal will cut a piece of wood that is 2 1/2 feet long into 1/4 -foot sections. How many sections will result?
Answer:
10 sections
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
i converted mixed number into decimals:
2 1/2 = 2.5
1/4= .25
Then 2.5/.25= 10
WILL MARK
PLEASE HURRYYY
What is the rate of change of the function?
-3
-1/3
1/3
3
Answer:
-1/3
Step-by-step explanation:
Given that lines DE and AC are parallel, determine how triangles ABC and DBE can be shown to be similar.
A.
Since ABC DBE and BAC BDE, the triangles are similar by angle-angle.
B.
Since ABC DBE and BAC BED, the triangles are similar by angle-angle.
C.
Since ABC DBE and AC = AB, the triangles are similar by angle-side.
D.
Since ABC DBE and DE = DB, the triangles are similar by angle-side.
Since ∠ABC ≅ ∠DBE and ∠BAC ≅ ∠BDE.
The triangles are similar by angle-angle.
The correct option is A.
What are similar triangles?Those triangles look the same but are different in size.
And in similar triangles,
the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.
Given:
The lines DE and AC are parallel.
DE ║ AC.
And the two triangles are,
ΔABC and ΔDBE.
We know,
the similar triangles have the congruent angles.
So, ∠ABC ≅ ∠DBE
∠BAC ≅ ∠BDE.
The triangles are similar by angle-angle.
Hence, ΔABC ∼ ΔDBE.
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(1 point) find the value of k for which the constant function x(t)=k is a solution of the differential equation 4t3dxdt−6x−6=0.
The value of k for which the constant function x(t) = k is a solution of the differential equation 4t^3(dx/dt) - 6x - 6 = 0 is k = -1.
To find the value of k for which the constant function x(t) = k is a solution of the given differential equation, we substitute x(t) = k into the equation and solve for the value of k that satisfies the equation.
The given differential equation is:
4t^3(dx/dt) - 6x - 6 = 0
Substituting x(t) = k, we have:
4t^3(dk/dt) - 6k - 6 = 0
Since x(t) = k is a constant function, the derivative dx/dt is zero, so dk/dt is also zero. Therefore, we can simplify the equation further:
-6k - 6 = 0
To solve for k, we isolate it on one side of the equation:
-6k = 6
Dividing both sides by -6, we get:
k = -1
Therefore, the value of k for which the constant function x(t) = k is a solution of the differential equation 4t^3(dx/dt) - 6x - 6 = 0 is k = -1.
In summary, by substituting the constant function x(t) = k into the given differential equation and solving for k, we find that the value of k is -1. This means that when x(t) is a constant function equal to -1, it satisfies the differential equation.
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What would this be ??
Answer:The value of x is 92.
Step-by-step explanation:
Write out a proportion. Since it is a straight line, it is equal to 180 degrees.
(1/2x+4)+(3/2x-8)=180
Simplify and you get: 4/2x-8=180=2x-8=180
2x=184
x=92
What is the sum of P(x) and Q(x) if P(x) = 4x² + 6x - 9 and Q(x) = -7x² - 12x + 8?
Answer:
-3x²-6x+17
Step-by-step explanation:
P(x)+Q(x)
(4x²+6x-9)+(-7x²-12x+8)
4x²+6x+9-7x²-12x+8
(4x²-7x²)+(6x-12x)+(9+8)
-3x²-6x+17
Lines will not always be written initially in y=mx+b form. Sometimes you will need to do some simple
manipulation (typically one or two steps) to rearrange into this form.
Exercise #3: For each of the following equations, rearrange them into y = mx +b form and identify the slope
and y-intercept of the line.
(a) y +2x = 7
(b) 2x+3y = 12
(c) 4x -6y = 7
Answer:
a. y = -2x + 7
b. y = -⅔x + 4
c. y = ⅔x - 7/6
Plz mark brainliest:)
Find the perimeter. Simplify your answer.
6-4
b
b
6-4
Answer:
6-4 because if you meausure it by the sides
1 5/6= 1/2x+1 solve for x
Answer:
x=5/3
Step-by-step explanation:
pleaseee helpp meeee
Answer:
9 sides
Step-by-step explanation:
Formula for finding interior angles of all polygons : 180 ( n - 2) / n = A
(n being the amount of sides it has)
This information is important so you can plug in the numbers that you already know
We know that the interior angle measures to 140 degrees
180 (n - 2) / n = 140
multiply both sides by "n"
(n - 2) x 180 = 140n
Distribute 180 to what's inside the parenthesis
180n - 360 = 140n
Subtract 140n and add 360 to each side (which just moves 360 to the other side of the "="
40n = 360
Divide 40 by both sides
n = 9
hope this helps :)
A 2-column table with 3 rows titled Units of Length. Column 1 is labeled Customary System Units with entries 1 inch, 1 foot, 1 mile. Column 2 is labeled Metric System Units with entries 2.54 centimeters, 0.3048 meters, 1.61 kilometers.
How many inches are equivalent to 2 meters?
Round your answer to the nearest tenth.
The measurement 2 meters is equivalent to inches.
Answer:
the answer is b
Step-by-step explanation:
I'm not sure if my domain and range i put is right , so please let me know and write a rule for the function represented by the graph at the left . Also explain it to me and i'll give brainliest !
Answer:
Domain is 1, 2, 3, 4, 5
range is 2, 3, 4, 5, 6
it should be answered like that
about the rule
X= Y-1
For her final project Stacy plans on surveying random sample of 50 students on whether they plan to go to Florida for Spring Break From past years she guesses that about 11%0 of the class goes reasonable for her t0 use Normal model for the sampling distribution of the sample proportion? Why or why not?
To decide whether it is sensible for Stacy to utilize the ordinary show for the inspecting conveyance of the test extent, we got to check whether the conditions for utilizing the typical conveyance estimation are met. The conditions are:
The test estimate is expansive sufficient
The test information is autonomous
The populace is at slightest 10 times bigger than the test
The test estimate, in this case, is 50. To check whether it is expansive sufficient, ready to utilize the run the show of thumb that the test measure ought to be at the slightest 10% of the populace estimate.
Hence, based on these conditions, it is sensible for Stacy to utilize the ordinary demonstration for the inspecting conveyance of the test extent. She can accept that the testing dispersion is roughly typical with a cruel of p = 0.11 and a standard deviation of sqrt[(p(1-p))/n] = sqrt[(0.11(0.89))/50] = 0.05.
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What is the measure of Angle 1 in this figure?
A. 30°
B. 80°
C. 110°
D. 130°
Answer:
A
Step-by-step explanation:
I need help pls answer as fast as posible
Answer:
1/8
Step-by-step explanation:
Answer:
1/7
Step-by-step explanation:
divide 6/42
In the diagram below, assuming line a is parallel to line b, the missing value of y is ___
A. 56°
B. 21°
C. 32°
D. 13°
The value of y in the diagram is 13 degres
What is an angle?An angle is the figure formed by two rays, called the sides of the angle,
Put differently, an angle is the point where two or more straight lines intersect.
From the given diagram,
angles x = 4y vertically opposite angles are equal
Also, x = 52 degrees (corresponding angles)
Puting x =52 in the first statement to have
52 = 4y dividing both sides by 4 to have 52/4 = 4y/4
Therefore the value of y = 13 degres
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Can you please explain and help me find the midpoint?
Answer:
once have a short glance to the above solution.
The midpoint of AB is ( -0.5 , 0)
a researcher uses an anonymous survey to investigate the study habits of american college students by sending surveys to a randomly selected set of students. based on the data she obtains, the researcher finds that these students spend an average of 4.1 hours each week working on course material outside of class. for this study, the set of 56 students who returned surveys is an example of a . group of answer choices
In the given case the set of 56 students who returned surveys is an example of a sample
A sample would be the 56 students who responded to the surveys. A sample is a portion of the population that is chosen for a study in research. American college students would be the population in this scenario. The 56 students who returned the surveys were chosen at random for the sample by the researcher.
The researcher is attempting to guarantee that the sample is representative of the greater population of American college students by utilising a random selection process. The researcher discovered that these students spend an average of 4.1 hours per week working on course material outside of class based on the data collected from the sample. This is an example of a descriptive statistic that provides a summary of the information gleaned from the sample.
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