The given expression is a trinomial because it consists of three terms: 4x²-y+oz⁴
A trinomial is a polynomial with three terms. It is a type of algebraic expression that consists of three monomials connected by addition or subtraction. The general form of a trinomial is:
ax^2 + bx + c
A monomial is an algebraic expression that consists of a single term. It is a polynomial with only one term. A term is a combination of a coefficient and one or more variables raised to non-negative integer exponents. The general form of a monomial is:c * xᵃ, yᵇ, zⁿ....
where 'c' represents the coefficient (a constant), and 'x', 'y', 'z', etc., represent variables, each raised to a non-negative exponent (a, b, n, etc.).
example of monomials: 5x² - This monomial has a coefficient of 5 and a single variable 'x' raised to the power of 2.
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A park charges $11 for one round of miniature golf and a reduced fee for each additional round played. If
Tom paid $46 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?
The reduced fee for each additional round played is $
Plzzz help plzzz help plzzz help plzzz help
Answer:
4$ off every time because if you take 6×11 you get 66 from the total without anything off and then subtract 66-46 and you get 20 so you take 20÷ 5 because 1 round was his first and there was no discount on the first round so your answer is 4$ everytime
The total distance in centimeters that a toy robot moves varies directly with the time in seconds the toy robot moves a total distance of 63 cm. In 9 seconds what is the time in seconds that the toy robot moves when the total distance is 49 cm
Answer:
Hey there!
The robot moves 63 cm in 9 seconds. Then in 1 second, it moves 7 cm.
If it goes 49 cm, it will take 7 seconds.
Let me know if this helps :)
the following are the duration in minutes of a sample of long-distance phone calls made within the continental united states reported by one long-distance carrier. if 100 calls were randomly sampled, of them would have lasted at least 15 minutes but less than 20 minutes time (in minutes) relative frequency 0 but less than 5 0.37 5 but less than 10 0.22 10 but less than 15 0.15 15 but less than 20 0.10 20 but less than 25 0.07 25 but less than 30 0.07 30 or more 0.02
From the given data, using the relative frequencies and time range, we can say out of the 100 sampled calls, 10 calls would have lasted at least 15 minutes but less than 20 minutes.
What is the number of calls that would have lasted at least 15 minutes but less than 20 minutes?In order to calculate the number calls that would have lasted within the given range, we can add the relative frequencies of the time range.
Given the following information:
Time Range Relative Frequency
0 < t < 5 0.37
5 < t < 10 0.22
10 < t < 15 0.15
15 < t < 20 0.10
20 < t < 25 0.07
25 < t < 30 0.07
t ≥ 30 0.02
From the time range of the relative frequencies, this shows that 10% of the 100 sampled calls would last at least 15 minutes but less than 20 minutes.
To calculate the actual number of calls, we multiply the relative frequency by the total number of calls:
Number of calls = Relative frequency * Total number of calls
Number of calls = 0.10 * 100
Number of calls = 10
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Find the value of 3^sqrt(100)
QUICKKKK PLEASEEEE
Answer: 59049 or 4.64
Step-by-step explanation: 59049 is the answer to 3^sqrt(100), but I wasn't totally sure if you meant ^3sqrt(100) or not so I solved both.
3^sqrt(100) = 59048
^3sqrt(100) = 4.64158
Arwen rolls a number cube (with sides labeled 1 through 6) twice. What is the
probability that the first or second result is the number 5?
The answer is 11/36.
Just how??
there is a part b and c but it won't let me put more then one picture part b says What is the least number of times Sally needs to play only the ring toss in order to have enough tickets for the prize she wants and part c says What is the least number of times Tom needs to play the fishing game in order to have enough tickets for the prize he wants
Answer
a) The system of two linear inequalities include
5x + 3y ≥ 15
3x + 4y > 12
b) Least number of times Sally needs to play only the ring toss in order to achieve her goal of more than 12 tickets = 5
c) Least number of times Tom needs to play only the fishing game in order to achieve her goal of at least 15 tickets = 5
Explanation
Number of times Ring toss needs to be played is denoted as x.
Number of times Fishing game needs to be played is denoted as y.
a) For Tom
5 tickets for each ring toss = 5x
3 tickets for each fishing game = 3y
Tom needs at least 15 tickets for the prize he wants
5x + 3y ≥ 15
For Sally
3 tickets for each ring toss = 3x
4 tickets for each fishing game = 4y
Sally needs more than 12 tickets for the prize she wants
3x + 4y > 12
The system of two linear inequalities is then
5x + 3y ≥ 15
3x + 4y > 12
b) What is the least number of times Sally needs to play only the ring toss in order to have enough tickets for the prize she wants?
The inequality describing her situation is
3x + 4y > 12
We are now told that if she plays only the ring toss, (that is, no fishing game, y = 0), what would be the minimum number of times she would need to play to achieve her goal of more than 12 tickets?
3x + 4y > 12
when y = 0
3x + 4y > 12
3x + 4(0) > 12
3x + 0 > 12
3x > 12
Divide both sides by 3
(3x/3) > (12/3)
x > 4
Number of times has to be more than 4, so, minimum number of times has to be 5.
c) What is the least number of times Tom needs to play only the fishing game in order to have enough tickets for the prize he wants?
The inequality describing his situation is
5x + 3y ≥ 15
We are now told that if he plays only the fishing game, (that is, no ring toss, x = 0), what would be the minimum number of times he would need to play to achieve his goal of at least 15 tickets?
5x + 3y ≥ 15
when x = 0
5(0) + 3y ≥ 15
0 + 3y ≥ 15
3y ≥ 15
Divide both sides by 3
(3y/3) ≥ (15/3)
y ≥ 5
Number of times has to be at least 5, so, minimum number of times has to be 5.
Hope this Helps!!!
Write an equation of the line in point slope form (y - y) = m(x - X1) given that the slope is 6 and the line passes through (5, 7). Then convert it to slope-
intercept form.
Point-Slope Form:
Slope-Intercept Form:
Answer:
x1 = -4
y1 = 2
x2 = 0
y2 = 3
m = (y2 - y1) / (x2 - x1)
Plug in the numbers and evaluate m, then either of the 2 equations below represents the line in point slope form:
y - y1 = m(x - x1)
y - y2 = m(x - x2)
Plug in the numbers. The slope intercept form is
y = mx + b
b = 3 (given)
m = result from earlier step
You convert to standard from and finish from here.
Identify the properties of the given quadratic. y = −3x2 6x 17 a: b: c:
The properties of the quadratic equation y=-3x^2+6x+17 is Axis of symmetry - x=1, Vertex (maximum) - (1,20), Parabola opens downwards and the end behaviour is x→∞,y→-∞, x→-∞, y→-∞.
What is a quadratic equation?
An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax^2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
The quadratic equation in the general form can be written as -
y=-3x^2+6x+17
Here, a=-3
b=6
c=17
An imaginary straight line known as the axis of symmetry divides a shape into two identical sections, making one part the mirror image of the other.
Here, the axis of symmetry is x=1.
The vertex of the equation is at the maximum or the lowest point of the parabola.
So, after plotting the graph the maximum point is (1,20).
The leading coefficient of the equation is -3, which is less than zero.
So, the parabola formed by the quadratic equation opens downwards and forms a upside-down U shaped parabola.
According to the equation has an even degree and the graph of the parabola is leading towards negative infinity.
Therefore, it can be denoted as x→∞,y→-∞, (right end down) and as x→-∞, y→-∞ (left end down).
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24 cartons of milk are sold for $20.99. if there is a 15 percent discount, what is the unit price
Answer: x=1
Step-by-step explanation:
Carla is laying stone pavers along the patio and walkway. The walkway is 4 feet wide. The patio measures 8 feet from top to bottom and 11 feet across. How much area does Carla need to cover?
Answer: she needs to cover 88 feet
Step-by-step explanation:
the base is 11 and the hight is 8
Which are the solutions of the quadratic equation x2 7x 4/7 07 0?
The solutions of the quadratic equation x2 7x 4/7 0 are x = 3/7
The solutions of the quadratic equation x2 7x 4/7 0 can be found using the Quadratic Formula. The Quadratic Formula is written as x = -b ± √(b2 - 4ac) / 2a. In this equation, ‘a’ is the coefficient of x2, ‘b’ is the coefficient of x, and ‘c’ is the constant. In this case, ‘a’ is equal to 1, ‘b’ is equal to 7 and ‘c’ is equal to 4/7. Using this information, the Quadratic Formula can be written as x = -7 ± √(72 - 4(1)(4/7)) / 2(1). This simplifies to x = -7 ± √(49 - 16/7) / 2. This can be further simplified to x = -7 ± √(49 - 16/7) / 2. Finally, the equation can be solved to give the two solutions of the equation which are x = 3/7 and x = 2. Thus, the solutions of the quadratic equation x2 7x 4/7 0 are x = 3/7
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RIGHT ANSWER GETS 15 POINTS
In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle.
A straight line is shown and is marked with three angles. The first angle measures 60 degrees. The second angle measures 60 degrees. The third angle is labeled y. The line between the 70 degree angle and angle y extends below the straight line. The angle formed is labeled angle x.
Write and solve an equation to determine the measure of angle x. (5 points)
Your answer:
Since angle y and angle x form vertical angles, the measure of angle x is equal to 50°.
What is the vertical angles theorem?In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.
Furthermore, the sum of the angles on a straight line is equal to 180. Therefore, we would sum up all of the angles as follows;
60° + 70° + y = 180°
130° + y = 180°
y = 180° - 130°
y = 50°
Since both angle x and angle y are vertical angles, we can logically deduce that they are congruent and as such the magnitude of angle x is equal to 50°.
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2. He lives in a big city.
a.
b.
How many solutions does the following equation have,
3(x+5)=−4x+83,
Choose 1 answer:
I will give 35 points to whoever answers this question and brainiest to the first:,
Answer:
-68
Step-by-step explanation:
3(x+5)=-4x+83
3x +15 =-4x +83
15 - 83 =-4x - 3x
-68 =x
what is three eights as a percent
Answer:
3/8 as a percent equals 37.5%
Step-by-step explanation:
Answer:
.375
Step-by-step explanation:
Can someone please help me I really need help please help me thank you
Answer:
(-1,1) and (5,3)
Step-by-step explanation:
y=mx+b
y=2/3x+b
substitute in the point values for x and y (2,1) x=2 y=1
1=2/3(2)+b
1=4/3+b
b= -1/3
y=2/3x+-1/3
(0,-1/3) is the y-intercept
slope = rise over run.
go 2 up and 3 over
or 2 down and 3 under
part a: determine and interpret the lsrl. (3 points) part b: predict the percent of children living in single-parent homes in 1991 for state 14 if the percentage in 1985 was 18.3. show your work. (3 points) part c: calculate and interpret the residual for state 14 if the observed percent of children living in single-parent homes in 1991 was 21.5. show your work. (4 points)
part a: In order to determine and interpret the least squares regression line (LSRL), you need to have a set of data points and perform regression analysis.
The LSRL is a line that best fits the data points and represents the relationship between two variables. It is commonly used to predict or estimate values based on the given data.
To determine the LSRL, you will need to calculate the slope and the y-intercept of the line. The slope (m) represents the rate of change of the dependent variable for a one-unit increase in the independent variable.
The y-intercept (b) represents the value of the dependent variable when the independent variable is equal to zero.
Once you have determined the LSRL equation in the form of y = mx + b, you can interpret it.
For example, if the LSRL equation is y = 2x + 3, it means that for every one unit increase in the independent variable, the dependent variable is expected to increase by 2 units.
The y-intercept of 3 indicates that when the independent variable is zero, the dependent variable is expected to be 3.
part b: To predict the percent of children living in single-parent homes in 1991 for state 14, we can use the LSRL equation.
First, substitute the known value of the independent variable (1985) into the equation and solve for the dependent variable (percent of children living in single-parent homes). Let's say the LSRL equation is y = 0.5x + 10.
In this case, x represents the year and y represents the percent of children living in single-parent homes. So, when x is 1985, we can substitute it into the equation:
y = 0.5 * 1985 + 10
y = 993.5 + 10
y ≈ 1003.5
Therefore, the predicted percent of children living in single-parent homes in 1991 for state 14 would be approximately 1003.5 percent.
part c: To calculate the residual for state 14, we need to compare the observed percent of children living in single-parent homes in 1991 (21.5 percent) with the predicted value we obtained in part b (1003.5 percent).
The residual is calculated by subtracting the predicted value from the observed value:
Residual = Observed value - Predicted value
Residual = 21.5 - 1003.5
Residual ≈ -982
The negative value of the residual indicates that the observed value is significantly lower than the predicted value.
In other words, the actual percent of children living in single-parent homes in state 14 in 1991 is much lower than what was predicted based on the LSRL equation and the data from 1985.
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Which equation represents a line that passes through the two points in the
table?
Answer:
A. y-1=5/3(x-3)
Step-by-step explanation:
please look at the graph in my pic to see my answer is correct
hope it helps :)
Polynomial Functions (continued) b) Graph the data and use technology to find the line or curve of best fit and the regression equation that best models this data. Include a sketch of the graph and state the equation or include a printout showing the scatterplot and regression equation. c) State whether the regression equation is a good fit to the data. Explain.
The data is graphed and a regression equation is found using technology. The goodness of fit is evaluated to determine if the regression equation adequately models the data.
The given data is plotted on a graph, and using technology such as statistical software, a line or curve of best fit is determined. The regression equation that represents this best fit line or curve is obtained. A scatterplot is generated, showing the data points along with the regression line or curve.
To assess the goodness of fit, various statistical measures such as R-squared, mean squared error, or residual analysis are used. These measures evaluate how closely the regression equation matches the data points.
A high R-squared value close to 1 indicates a good fit, while a low value suggests a poor fit. The appropriateness of the regression equation in modeling the data is then determined based on these measures and an analysis of residuals.
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An online music store is offering a promotion. When you spend $40 or more, you receive 3 songs for free. You buy an album for $8. Write and solve an inequality that represents how much more money you must spend to receive the three free songs.
Answer:\(x+8\geq 40\)
Step-by-step explanation:
\(x+8\geq 40\)
subtract 8 from both sides to isolate x
\(x\geq 32\)
You must spend 32 more dollars to receive three free songs.
frustrated freight may never reach the intended recipient T/F
True, Frustrated Freight is any freight or shipment that it has been halted from moving.
Generally speaking, the elements that make a bundle quit moving or being shipped to the normal beneficiary are issues to do with marking, bundling, as well as making.
Frustrated Freight alludes to products that can't be conveyed to the expected beneficiary because of different reasons like an erroneous location, beneficiary inaccessibility, or harm during travel.
This can prompt the shipment never arrive at its expected objective, causing disillusionment for the shipper and beneficiary, and possibly bringing about monetary misfortunes.
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how many ounces is in a quarter pound
One quarter pound is equal to 4 ounces. A quarter pound is a unit of weight commonly used in cooking and food preparation.
To convert from quarter pounds to ounces, simply multiply the number of quarter pounds by 4.
For example, if you have 2 quarter pounds of cheese, the equivalent weight in ounces would be 2 x 4 = 8 ounces.
It's important to note that the pound is a unit of weight commonly used in the United States and some other countries, while in other countries such as the UK and Canada, the metric system is more widely used, with weight typically measured in grams or kilograms.
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Is a priori theoretical perspectives are used in both qualitative and quantitative studies?
Yes, a priori theoretical perspectives can be used in both qualitative and quantitative studies.
A priori theoretical perspectives refer to theoretical frameworks, concepts, or hypotheses that are established before data collection or analysis. These perspectives provide a pre-existing theoretical lens through which researchers interpret and analyze their data. In qualitative studies, a priori theoretical perspectives guide the research questions, data collection methods, and data analysis process.
In quantitative studies, they inform the formulation of hypotheses, research design, and statistical analysis. Regardless of the research approach, a priori theoretical perspectives help researchers frame their investigations and generate meaningful insights.
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I think its 3 I just need them to tell me I’m right not a whole explanation if I’m wrong then explain, just need you to check my answer thank you.
Outliers are observations that are significantly distant from the rest of the data set. They represent experimental errors or atypical observations.
In the scatter plot, you can consider being outliers any dot that is apart from the rest of the data set.
In the given scatter plot there are three observations that can be considered outliers.
Find the zeros of the function. Write the smaller solution first, and the larger solution second f(x)=(x+2)2-16 smaller x larger x
Answer:
The solutions are x = -6 or x = +2
Step-by-step explanation:
In this question, we are asked to get the series of the equation given. we can find this by equating what we have to zero
Mathematically, we proceed as follows;
(x +2)^2 -16 = 0
This can be rewritten as;
(x + 2)^2 - 4^2 = 0
we can then proceed to use the difference of two squares to finish this off
Thus, we have
(x + 2 + 4)(x + 2 - 4) = 0
(x + 6)(x-2) = 0
X + 6 = 0 or x-2 = 0
x = -6 or x = +2
Which expression below does not give the area of this figure?
a
b
c(a+b)
(a+b)c
ab + ac
ac + bc
Answer:
Step-by-step explanation:
Ab + ac
Which of the following is not a polynomial?
Answer:
A
Because it has the characteristics of trinomial
Answer:
If the person has been able for something else and the point that is the best
Two people start biking from the same point. One heads east at 13 mph, the other south at 18 mph. What is the rate at which the distance between the two people is changing after 25 minutes and after 35 minutes? What is the rate at which the distance between the two people is changing after 25 minutes?
Answer:
\(22.21\ \text{mph}\)
\(22.2\ \text{mph}\)
Step-by-step explanation:
\(\dfrac{da}{dt}=13\ \text{mph}\)
\(\dfrac{db}{dt}=18\ \text{mph}\)
\(\dfrac{dc}{dt}\) = Rate at which the distance between the two people is changing
At 25 minutes
\(a=13\times \dfrac{25}{60}=5.417\ \text{miles}\)
\(b=18\times \dfrac{25}{60}=7.5\ \text{miles}\)
\(c=\sqrt{5.417^2+7.5^2}\\\Rightarrow c=9.25\ \text{miles}\)
Distance between the two people is
\(c^2=a^2+b^2\)
Differentiating with respect to time we get
\(c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{5.417\times 13+7.5\times 18}{9.25}\\\Rightarrow \dfrac{dc}{dt}=22.21\ \text{mph}\)
Distance between the two people is changing at a rate of \(22.21\ \text{mph}\).
At 35 minutes
\(a=13\times \dfrac{35}{60}=7.583\ \text{miles}\)
\(b=18\times \dfrac{35}{60}=10.5\ \text{miles}\)
\(c=\sqrt{7.583^2+10.5^2}\\\Rightarrow c=12.95\ \text{miles}\)
Distance between the two people is
\(c^2=a^2+b^2\)
Differentiating with respect to time we get
\(c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{7.583\times 13+10.5\times 18}{12.95}\\\Rightarrow \dfrac{dc}{dt}=22.2\ \text{mph}\)
Distance between the two people is changing at a rate of \(22.2\ \text{mph}\).
a circular mirror is surrounded by a square metal frame. the radius of the mirror is 2x. the side length of the metal frame is 12x what is he area of the metal frame?
The total area filled by a flat (2-D) surface or an object's form is referred to as the area and the required area of the metal frame is 93.76x² unit square.
What is Area?The area is the total area occupied by a flat (2-D) surface or the form of an object.
Create a square on paper by using a pencil.
Two dimensions make it up.
A form's area on paper is the space it takes up.
So, given, a square metal frame encircles a circular mirror.
The mirror has a 4x radius.
The metal frame's side length is 12x.
According to the basic formula for the area of a circle and a square:
area of a circle = pi * radius * radius
Square Area = Side * Side
In the given situation:
Mirror's Area = pi * 4x * 4x = pi * 16x² = 50.24x
Squared mirror's Area = 12x * 12x = 144x²
The area of the metal frame is the sum of the areas of the squared and round mirrors.
Metal frame area = 144x² - 50.24x²
Metal frame size = 93.76x²
Therefore, the total area filled by a flat (2-D) surface or an object's form is referred to as the area and the required area of the metal frame is 93.76x² unit square.
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Correct question:
A circular mirror is surrounded by a square metal frame. The radius of the mirror is 4x. The side length of the metal frame is 12x. What is the area of the metal frame?
given that the vertex is (8,6) and the y intercept is -12, what is the x-coordinate of the other point that has a y value of -12?
x-coordinate of the other point on the line that has a y value of -12 is 0
Define slopeThe slope of a line in mathematics serves as a gauge for how steep it is. It is described as the proportion of the y-coordinate change to the x-coordinate change between any two locations on a line. A line's slope can be either positive, negative, zero, or undefinable.
Given
vertex=(8,6)
intercept=-12
To find: x-coordinate of the other point that has a y value of -12
Equation of line
y=mx+c
Putting the values, we get
6=8m-12
m=18/8
m=9/4
Now, finding the x coordinate
y=mx+c
-12=9/4x-12
x=0
Hence, x-coordinate of the other point that has a y value of -12 is 0.
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