Student 1's answer is the correct answer: (x+2)(x+12).
What is expressionAn expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
What is expression and equation?Expression is a mathematical phrase which combines, numbers, variables and operators to show the value of something. An equation is a mathematical statement wherein two expressions are set equal to each other.
Student 2's answer, 3(x+2)(x+12), is incorrect because they multiplied the factors by 3, which is not necessary and changes the value of the expression.
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Answer: Using the linear model, a puppy grows _____ pounds each month. Fill in the blank.
Using the linear model, a puppy grows 6 pounds each month.
What is the point-slope form?In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.At data point (2, 20), an equation of this line in slope-intercept form can be calculated by using the point-slope form:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 20 = (80 - 20)/(12 - 2)(x - 2)
y = 60/10(x - 2) + 20
y = 6x - 12 + 20
y = 6x + 8
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I need help please with this solving problem anyone please ?!!!! Thank you :)))))
The requried, Chloe originally had 68 marbles.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let's assume that Chloe originally had "x" marbles.
According to the problem, Chloe added 36 marbles to her collection. This means that she now has x + 36 marbles.
And we also know that she now has a total of 104 marbles.
So, we can set up an equation:
x + 36 = 104
To solve for x, we can isolate x on one side of the equation by subtracting 36 from both sides:
x + 36 - 36 = 104 - 36
x = 68
Therefore, Chloe originally had 68 marbles.
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The world's poorest people are ranked by their net worth.
O True
O False
Answer: I think its true
explanation: Correct me if im wrong ty!
These are two triangles, AB = 50, B = 40 degrees, and find the value of CE
The value of the length CE is 19.3 units
How to determine the length CEFrom the question, we have the following parameters that can be used in our computation:
The right triangle
Start by calculating the length AE using the following sine ratio
sin(B) = AE/AB
Substitute the known values in the above equation, so, we have the following representation
sin(40) = AE/50
So, we have
AE = 50 * sin(40)
Evaluate
AE = 32.14
From the figure, we can see that
Triangle CDE is 3/5 of triangle ABE
Using the above as a guide, we have the following:
CE = 3/5 * AE
So, we have
CE = 3/5 * 32.14
Evaluate
CE = 19.284
Approximate
CE = 19.3
Hence, the length is 19.3 units
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THE ANSWER IS A & B!! Select the two values of x that are roots of this equation. x25x+3=0 A. x = B. D. X = X = X = 5+√13 2 5+√37 2 5-13 2 5-√37
The two x values that make up the equation's roots are:
x = [tex]\frac{5+\sqrt{13} }{2}[/tex]
x =[tex]\frac{5-\sqrt{13} }{2}[/tex]
These two items are the two answers to the problem.
what are equations?A mathematical definition of an equation is a claim that two expressions are equal and joined by the equals sign.
Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.
from the question:
We can use the quadratic formula to determine the roots of the equation [tex]x^2 - 5x + 3 = 0.[/tex]
x = (-b ± [tex]\frac{b^2 - 4ac}{2a}[/tex])
where the quadratic equation's coefficients are a, b, and c.
With respect to our equation, we have:
a = 1, b = -5, and c = 3
These values are entered into the quadratic formula as follows:
x = (-(-5) ± [tex]\sqrt(-5)^2}[/tex] - 4(1)(3))) / 2(1)
x = (5 ± [tex]\frac{{13}}{2}[/tex])
The two x values that make up the equation's roots are:
x = [tex]\frac{5+\sqrt{13} }{2}[/tex]
x =[tex]\frac{5-\sqrt{13} }{2}[/tex]
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i honestly am confused
function D gives the cost, in cents, of buying M mangoes at the fresh market. Which statement represents the meaning of the equation D(5)=100
According to the calculation D(5) = 100, the price of 5 mangoes at the fresh market will be $1.00, or 100 cents.
What is a formula or equation?Your example is an equation because a calculation is any formula with an equals symbol. Due to scientists' adoration of equal signs, equations are commonly used in mathematical expressions. A recipe is a collection of guidelines for producing a specific outcome.
The equation D(5) = 100 means that if you buy 5 mangoes at the fresh market, the cost will be 100 cents, or $1.00.
In general, the function D gives the cost (in cents) of buying M mangoes at the fresh market, so D(M) represents the cost of buying M mangoes. Therefore, D(5) means that we are evaluating the function D when M = 5, or when we buy 5 mangoes. The value of D(5) is 100 cents, or $1.00, which represents the cost of buying 5 mangoes at the fresh market.
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What is the correct numerical expression for "12 times the sum of 5 and 25 minus 2?"
(12 x 5) + 25 − 2
12 x (5 + 25) − 2
12 x (5 + 25 − 2)
12 x 5 + (25 − 2)
The correct numerical expression for "12 times the sum of 5 and 25 minus 2" by simplification is option (b) , i.e 12 x (5 + 25) − 2.
What is simplification in mathematics?Simplification means simplifying an expression by reducing it to a simpler form. Approximating means simplifying the formula to the nearest value, which is not exactly correct.
What is BODMAS?BODMAS stands for Bracket, Off, Division, Multiplication, Addition, and Subtraction. BODMAS is used to describe the order of operations in formulas. In some areas, BODMAS is also known as PEDMAS. This represents parentheses, exponents, division, multiplication, addition, and subtraction.
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Answer:
12 x (5 + 25) − 2
Step-by-step explanation:
hope this helps!
end behavior of : y= 3 log2x - 5
We can infer that the function y = 3 log2x - 5 has the following end behaviour:
Y gets closer to infinity as x gets closer to positive infinity.Y gets closer to negative infinity as x moves to the right and approaches zero.what is a function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
from the question:
We may look at what happens to the function as x gets closer to positive and negative infinity to figure out the final behavior of the function y = 3 log2x - 5.
The formula 3 log2x also approaches infinity as x moves closer to positive infinity, and log2x moves closer to infinity as well. As a result, y becomes closer to infinity as x gets closer to positive infinity. The following can be written:
lim x→∞ 3 log2x - 5 = ∞
Similar to how log2x approaches negative infinity, the complete phrase 3 log2x also does as x approaches 0 from the right. Hence, when x moves towards 0 from the right, y moves towards negative infinity. The following can be written:
lim x→0+ 3 log2x - 5 = -∞
We can then infer that the final behavior of the function y = 3 log2x - 5 is as follows:
Y gets closer to infinity as x gets closer to positive infinity.Y gets closer to negative infinity as x moves to the right and approaches zero.to know more about the function visit:
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Joeli bought a new helmet and elbow pads for riding her skateboard. The helmet costs $27.57. The elbow pads cost $17.78. What is the total cost of her purchases?
The total cost of Joeli's purchases is $45.35.
What is the addition?
Addition is a mathematical operation that combines two or more numbers or quantities to produce a sum. It is one of the four basic arithmetic operations, along with subtraction, multiplication, and division. In addition, the numbers being combined are called addends, and the result is called the sum. The addition operator is represented by the symbol "+".
To find the total cost of Joeli's purchases, we need to add the cost of the helmet to the cost of the elbow pads:
Total cost = helmet cost + elbow pads cost
Total cost = $27.57 + $17.78
Total cost = $45.35
Therefore, the total cost of Joeli's purchases is $45.35.
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Use the diagram to write an example of the Line-Point Postulate.
A diagram shows a plane, M. Points,H J, K, G, and L, are marked on the plane. A line, q, passes through points, J, H, and K. A line, p, passes through a point, G, intersecting line, q, at point H.
Responses
Line $p$ contains point $H$ .
Line p contains point cap h.
Line $p$ contains points $H$ and $J$ .
Line p contains points cap h and cap j.
Line $q$ contains point $J$ .
Line q contains point cap j.
Line $q$ contains points $J$ and $K$ .
Line q contains points cap j and cap k.
We can say that line $p$ passes through point $H$, which is also enough information to uniquely determine line $p$.
What is Line point postulate ?
The line-point postulate, also known as the incidence postulate, is a fundamental axiom in geometry that states that for any two points in a plane, there exists exactly one line that contains both points.
In other words, the line-point postulate asserts that a line can be uniquely determined by two distinct points that lie on it. This is one of the most basic and intuitive principles in geometry, and it is essential for building a foundation for more advanced concepts such as angles, triangles, circles, and more.
The Line-Point Postulate states that a line can be uniquely determined by any two distinct points on the line. In this diagram, we can see an example of this postulate in action.
For instance, we can say that line $q$ passes through points $J$ and $K$, so according to the Line-Point Postulate, this is enough information to uniquely determine the line $q$. Similarly,
Therefore, we can say that line $p$ passes through point $H$, which is also enough information to uniquely determine line $p$.
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The question is present in the image
In response to the aforementioned query, we may say that here, the exponent is [tex](x^2)^5 / (x^3)^2[/tex] = [tex]x^n[/tex] => [tex]x^4 = x^n[/tex] => so, n=4
what are exponents?Exponentiation, sometimes referred to as "b raised to the nth power," is a mathematical operation that includes two numbers: a base number, b, and an exponent, or power, n. It is represented by the sign bn. A number's exponent reveals how many times it has been multiplied by itself. For instance, the number 2-3 (written as 23) means 2 × 2 x 2 = 8. 2 + 3 = 6 does not equal 23. Remember that an integer multiplied by one equals itself. Exponents are a method for expressing large numbers as powers. The amount that shows how many times a number has been multiplied by itself is called an exponent. As an example, multiplying 6 by 4 results in 6 x 6 x 6.
here, the exponent is
[tex](x^2)^5 / (x^3)^2[/tex] = [tex]x^n[/tex]
[tex]x^{10} / x^{6}[/tex]
[tex]x^{10 - 6}[/tex]
[tex]x^4 = x^n[/tex]
so, n=4
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Using the graph determine the coordinates of the zeros of the parabola
The coordinates of the roots of parabola are (2,0) and (4,0).
What is parabola?An equation that sets a point on a curve at the same distance from both a fixed point and a fixed line is known as a parabola. The focus and directrix of a parabola are its fixed point and fixed line, respectively. Another important thing to keep in mind is that the fixed point does not lie on the fixed line. Every position that is equally far from the focus and directrix of two given points is said to be the locus of a parabola. The vertex of a parabola is the location where it turns sharpest. A parabolic function has a maximum value if it is shaped like a "," else, it has a minimum value.
The roots of the parabola are the coordinates where the graph intersects the x-axis (y = 0).
As you can see, the vertex of the graph is above the x-axis, and opens down, meaning that there are two roots for the graph.
Points of intersection: (2,0),(4,0)
Therefore, the coordinates of the roots are (2,0) and (4,0).
Hence the equation of the parabola will be y=3/4 (x²-1).
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223.6/40 show your work
Answer:
5.590
Step-by-step explanation:
Select all of the following sets in which the number 23 is an element
According to the definition of different number sets, 23 is an element of:
1) Natural number set
2) Whole number set
3) Integers set
4)Rational number set ( it can be written as 23/1)
A similar question is attached below.
What are the different number sets?
The different number sets are:
Natural numbersNatural numbers are the collection of positive integers from 1 to infinity. The letter "N" stands for the set of natural numbers.
Whole numbersNatural numbers with a zero are another name for whole numbers. The set is made up of non-negative integers without any fractional or decimal parts. The letter "W" stands for the whole number set.
Integers
The set of all whole numbers with a negative set of natural numbers is known as an integer. The letter "Z" stands for the integer set.
Rational numbersEvery integer that can be expressed as p/q, or as a ratio of one number to another, is referred to be a rational number. The letter "Q" can be used to signify a rational number.
Irrational numberThe number that cannot be represented by p/q. It denotes a number as being irrational if it cannot be expressed as a ratio of one to another. The letter "P" is used to signify it.
Therefore according to the definition of different number sets, 23 is an element of:
1) Natural number set
2) Whole number set
3) Integers set
4)Rational number set ( it can be written as 23/1)
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Using the graph determine the coordinates of the xintercepts
Answer:
(-3,0), (1,0)
Step-by-step explanation:
The x-intercept is when the y = 0
In the graph, we see the line cross through the x-axis located at (-3,0), (1,0)
So, the x-intercepts are located at (-3,0) and (1,0)
Answer:
x intercepts are 1 and -3
Step-by-step explanation:
X intercepts are obtained by looking at a point where the parabola touches the x axis
What are the terms in the expression 3y+5+y
Answer: algebraic expression, coefficient
Step-by-step explanation:
For a scientific experiment, a physicist must make sure that the temperature of a metal does not get colder than −51°C or the metal will not be usable. The physicist changes the metal's temperature at a steady rate of −3°C per hour.
We conclude that the physicists can change the temperature in 17 hours.
What is temperature?Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness. Temperature is measured with a thermometer.
Thermometers are calibrated in various temperature scales that historically have relied on various reference points and thermometric substances for definition.
We know that a physicist must make sure that the temperature of a metal at 0° C gets no colder than -51° C.
The physicist changes the metal's temperature at a steady rate of -3° C per hour.
We calculate how long can the physicists change the temperature.
We get:
-51-0 / -3-0
= 17
Hence, We conclude that the physicists can change the temperature in 17 hours.
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If 3 men can load a lorry of goods in 2 h, how long will it take (a) 6 men. (b) 5 men, and (c) 2 men, to load the lorry of goods if they work at the same rate?
The time it will take ;
a. 6 men is 1 hour
b. 5 men is 1 1/5 hours
c. 2 men is 3 hours
What is proportion?A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4)
If 3 men load for 2hours
1 will load for 2× 3 = 6hours
then;
a. for 6 men, they will load it for 6/6 = 1hour
b. for 5 men, they will load it for 6/5 = 1 1/5 hours
c for 2 men , they will load it for 6/2 = 3 hours
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ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST FOR ANSWERS
For the given sequence we have.
g(4) = 72g(n) = 2*g(n - 1)g(n) = 4*g(n - 2)g(n) = 8*g(n - 3)g(24)/g(21) = 8.How to describe the sequence?We have a sequence where each term is the double of the previous one.
So if we start with 9, we have:
g(1) = 9
g(2) = 2*9 = 18
g(3) = 2*18 = 36
g(4) = 2*36 = 72
That is the value of g(4).
Now the recursive formulas are trivial:
g(n) = 2*g(n - 1)
g(n) = 4*g(n - 2)
g(n) = 8*g(n - 3)
And finally, the quotient, we can write:
g(24)/g(21) as:
g(n)/g(n - 3)
And by the last recursive formula,we know that:
g(n) = 8*g(n - 3)
g(n)/g(n -3) = 8
So that is the answer there.
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the music department has budgeted $350 for the purchase of CDs. How many CDs can be purchased if they cost $15 each and there is a $5 shipping fee for the order
The music department can by less than or equal to 23 CD's for the given cost and shipping fee.
What is solution of inequality?The set of values that fulfil an inequality is the solution to the inequality. For instance, the following formula can be used to solve the inequality
x + 3 < 7
Taking 3 away from both sides:
x < 4
Hence, the answer is any value of x that is less than 4. A number line with an open circle at 4 indicating that it is not part of the answer and an arrow pointing to the left indicating that all numbers lower than 4 are included in the solution may be used to graphically illustrate the solution.
Let us suppose the number of CD's purchased = x.
Given that, they cost $15 each and there is a $5 shipping fee for the order.
15x + 5 ≤ 350
15x ≤ 345
x ≤ 23.
Hence, the music department can by less than or equal to 23 CD's for the given cost and shipping fee.
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Assume that during a three-hour period spent
outside, a person recorded the temperature and their
water consumption. The experiment was conducted
on 7 randomly selected days during the summer. The
data is shown in the table. Plot the data on a scatter
plot then add a line that is closest to all of the data
points.
Answer:
Plot the temperature on the x-axis and the water consumption on the y-axis.
For each day, plot a point on the scatter plot with the temperature and water consumption values.
Use a regression tool or calculate the slope and intercept of the line of best fit manually.
Draw a straight line through the data points that represents the trend in the data.
The equation for the line of best fit can be used to make predictions about water consumption given a certain temperature.
Step-by-step explanation:
The scatter plot shows that there is a positive relationship between temperature and water consumption.
Here is the scatter plot of the data:
Temperature (°F) | Water Consumption (fl. oz.)
------- | --------
75 | 12
80 | 15
85 | 18
90 | 21
95 | 24
100 | 27
The line that is closest to all of the data points is a line with a positive slope. This means that as the temperature increases, the water consumption also increases. The line does not perfectly fit all of the data points, but it does a good job of capturing the general trend.
Here is an explanation of how to interpret the scatter plot:
The points that are closer to the line indicate that the relationship between temperature and water consumption is stronger for those points.
The points that are further away from the line indicate that the relationship between temperature and water consumption is weaker for those points.
The line itself indicates the general trend of the data.
In this case, the line indicates that as the temperature increases, the water consumption also increases. However, there are some points that do not follow this trend. For example, the point at 95°F has a water consumption of 24 fl. oz., which is lower than the water consumption for the points at 90°F and 100°F. This suggests that there may be other factors that affect water consumption, such as the humidity or the activity level of the person.
Overall, the scatter plot shows that there is a positive relationship between temperature and water consumption. However, there are some points that do not follow this trend, which suggests that there may be other factors that also affect water consumption.
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Graph the following: f(x)= 1/2 x + 5 and (x)= 1/x
How many solutions are present?
a. 2
b. 3
c. 1
d. 0
Answer:
Below
Step-by-step explanation:
Where the graphs cross or touch each other is a solution.....see graph below ....how many solutions do YOU see ?
Type the correct answer in each box.
Consider the expressions shown below.
-
Answer:
First one is b second one is a thrid is c
Step-by-step explanation:
ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST FOR ANSWER. MULTIPLE CHOICE QUESTION
NO BRAINLYEST FOR A RANDOM ANSWER
PLEASE HELP
Here is a graph of the function f defined by f(x) = a*b^x select all possible values of b
A. 0
B.1/10
C.1/2
D. 9/10
E. 1
F.1.3
G. 18/5
The possible values of b are 1/10, 1/2, 9/12, here we have to learn graph of a function. Diagram of question given below.
What is Graph of a Function?The graph of a function f in mathematics is the collection of ordered pairs where display style f(x)=y. These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the typical situation when x and f(x) are real integers.
Subset, If every element of a set P is also an element of a set Q, then set Q is a superset of set P and set A is a subset of set Q. P and Q might be equal; if not, then P is a legitimate subset of Q.
Here, when [tex]b=0,\ f(x) = a*0^{x} = 0[/tex]
[tex]b=1,\ f(x)=a*1^{x} = a[/tex]
[tex]b > 1,\ f(x)=a*b^{x}[/tex]
[tex]a < b < 1,\ f(x) = a*b^{x}[/tex]
[tex]So, b\in(0,1)=b=\frac{1}{10} ,\frac{1}{2} ,\frac{9}{10}.[/tex]
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The given functions will be graphed on the coordinate plane.
f(x)=x3+2x2−x−2
g(x)=log(x+3)
Which statement describes the relationship between the graphs of the two functions and the solutions to the equation x3+2x2−x−2=log(x+3)
Responses
The solutions are the y-coordinates of the points of intersection of the graphs.
The solutions are the x-coordinates of the points of intersection of the graphs.
The solutions are the x-intercepts of the graphs.
The solutions are the y-intercepts of the graphs.
Answer:
Step-by-step explanation:
To find the solutions to the equation x^3 + 2x^2 - x - 2 = log(x + 3), we need to find the points of intersection of the graphs of the two functions f(x) = x^3 + 2x^2 - x - 2 and g(x) = log(x + 3).
The statement that describes the relationship between the graphs and the solutions is:
The solutions are the x-coordinates of the points of intersection of the graphs.
This is because the solutions to the equation are the x-values where the two graphs intersect. At these points of intersection, the y-coordinates of the graphs will be equal, meaning that the left-hand side of the equation (f(x)) and the right-hand side of the equation (g(x)) will be equal. Therefore, we need to find the x-values where f(x) = g(x) in order to find the solutions to the equation.
To visualize this, we can graph the two functions on the same coordinate plane and look for the points where they intersect. The x-coordinates of these points will be the solutions to the equation.
The y-intercepts of the graphs (if they exist) have no relation to the solutions of the equation, as they are simply the points where the graphs cross the y-axis (i.e. where x = 0). Similarly, the x-intercepts of the graphs (if they exist) are not necessarily related to the solutions of the equation, as they only indicate where the graphs cross the x-axis (i.e. where y = 0).
Calculate the height of a lean-to roof that has a slanted height of 325 cm and an angle of elevation of 22 degrees. Round your answer to the nearest cm. Include a diagram.
The height of a lean-to roof that has a slanted height of 325 cm and an angle of elevation of 22 degrees is 131.30 cm.
What connection exists in trigonometry between the angle of elevation and the tangent function?The tangent function in trigonometry describes the relationship between an angle's adjacent and opposing sides. The angle of elevation is the angle formed by a horizontal line and a line leading from the observer's eye to a higher-than-horizontal object. When calculating an object's height with the tangent function, we utilize the angle of elevation and the length of the neighbouring side (in this example, the slanted height) to get the length of the opposing side (the height). As a result, the height of the object increases with increasing tangent value and elevation angle.
Given that, a roof has slanted height of 325 cm and an angle of elevation of 22 degrees.
Using the trigonometric functions:
tan(22) = h / 325
h = 325 * tan(22)
h ≈ 131.30 cm
Hence, the height of a lean-to roof that has a slanted height of 325 cm and an angle of elevation of 22 degrees is 131.30 cm.
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Which of the following can be used to evaluate the series 5E n=1 6(0.6)n-1
Answer is C
A geometric series is an expression that results from adding all the elements in a geometric order. The right answer is B.
A geometric sequence is what?A geometric series is an expression that results from adding all the elements in a geometric order.
The given series is a geometric series in the form , where
The series has 5 terms, n = 5The first term of the series is 6, a₁ = 6The common ratio between the terms, r= 0.6Now, the geometry series' total can be expressed as,
[tex]\begin{aligned}\text { Sum } & =\mathrm{a}_1 \frac{\left(1-\mathrm{r}^{\mathrm{n}}\right)}{(1-\mathrm{r})} \\& =6 \frac{\left(1-0.6^5\right)}{(1-0.6)}\end{aligned}[/tex]
Hence, the correct option is C.
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A random survey of seventh- and eighth-grade students was conducted to find out how many hours is spent doing homework each night. Of the two sets of data, which has the greater median?
Cοmparing the medians fοund using the given bοx plοt, we fοund that the median οf eighth graders is greater than the median οf the seventh graders.
What is a bοx plοt?A bοx and whisker plοt, οften knοwn as a bοx plοt, shοws a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.
A bοx is drawn frοm the first quartile tο the third quartile in a bοx plοt.
At the median, a vertical line passes thrοugh the bοx. It is generally used tο shοw whether a distributiοn is skewed οr nοt and whether there are any pοtential οutliers, οr οdd οbservatiοns, in the data set.
When cοmparing οr invοlving numerοus data sets, bοxplοts are alsο highly helpful. Graphs can be used tο determine hοw widely the data values vary οr are spread οut.
Frοm the bοx plοt given, we can summarize the fοllοwing,
Fοr seventh graders,
The first quartile Q1 = 3
The third quartile Q3 = 4
Interquartile range = Q3 - Q1 = 4-3 = 1
The median = 3.5
Fοr eighth graders,
The first quartile Q1 = 3.5
The third quartile Q3 = 4.5
Interquartile range = Q3 - Q1 = 4.5 -3.5 = 1
The median = 4
Therefοre cοmparing the medians fοund using the given bοx plοt, we fοund that the median οf eighth graders is greater than the median οf the seventh graders.
To learn more about the box plot, follow the link.
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