I need help I would really thank whoever answers this for me
For any value of n, list the numbers ln, rn, mn, tn and i in increasing order. (enter your answers as a comma-separated list. enter your answer using the variables rather than numerical values.)
The correct order is [tex]l_n,\ m_n,\ t_n,\ r_n,\ i[/tex].
To list the values ln, rn, mn, tn and i in increasing order for any value of n, we need to understand the relationship between these variables.
The variables ln, rn, mn, and tn likely represent different measures, such as left endpoint, right endpoint, midpoint, and trapezoid point in numerical methods, while i often represents the imaginary unit iota in mathematics.
Commonly, if we assume these have increasing values when ordered, they would be listed as:
[tex]l_n[/tex][tex]m_n[/tex][tex]t_n[/tex][tex]r_n[/tex]iTherefore, the values in increasing order are:
[tex]l_n,\ m_n,\ t_n,\ r_n,\ i[/tex]
Find the measure of the major arc if its central angle is 35
what are the zeros of the function below?
f(x) = x(x-1)(x+11)/(x+12)(x-13)
a. 0,1, and -11
b. 0, -1, and 11
c. 13 and -12
d. -13 and 12
What is the weekly wage for a person who works 40 hours at an hourly rate of $9.75?
Final answer:
To find the weekly wage for someone working 40 hours at an hourly rate of $9.75, multiply the number of hours by the hourly rate, which equals $390.
Explanation:
The weekly wage for a person who works 40 hours at an hourly rate of $9.75 can be calculated by multiplying the number of hours worked per week by the hourly wage. Here's the calculation:
Hourly rate: $9.75Hours worked per week: 40 hoursWeekly wage = Hourly rate × Hours worked per weekWeekly wage = $9.75 × 40Weekly wage = $390Therefore, the answer required for the weekly wage for this person is $390.
Eli earned $98 at his job when he worked for 8 hours. what was his hourly pay rate in dollars per hour hour?Express your answer in simplest form
Last year, Rachel opened an investment account with $8200. At the end of the year, the amount in the account had decreased by 7.5%. How much is this decrease in dollars? How much money was in her account at the end of last year? What was the decrease in the amount? WHat was the year-end amount?
Y=10x
Graph the function
A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25 meters thick. Let S(t) denote the ice sheet's thickness S (measured in meters) as a function of time t (measured in weeks). Write the function's formula.
Answer: The required function formula is,
S(t) = 2 - 0.25 t
Step-by-step explanation:
Here, the initial thickness of the ice sheet = 2 meters,
After 3 weeks, the thickness of ice sheet = 1.25 meters
Total changes in the thickness in 3 weeks = 2 - 1.25 = 0.75 meters,
⇒ Total changes in the thickness in 1 weeks = 0.75/3 = 0.25 meters,
Since, the ice is melting with the constant rate.
⇒ The rate of ice decreasing = 0.25 meters per week.
⇒ Total changes in t weeks = 0.25 t meters
The new thickness of ice after t weeks = Initial thickness - Total changes in t weeks.
⇒ S(t) = 2 - 0.25 t
Which is the required function's formula.
The function's formula for the ice sheet's thickness as a function of time is S(t) = -0.25t + 2.
Explanation:To write the function's formula, we can use the slope-intercept form of a linear equation, which is given by the equation y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope represents the rate at which the ice thickness decreases over time. From the given information, we know that the thickness decreases by 0.75 meters over 3 weeks. Therefore, the slope is -0.75/3 = -0.25 meters per week.
Since the ice thickness is 2 meters in the beginning, the initial point on the graph is (0, 2). Using the slope-intercept form, we can write the formula for the ice sheet's thickness as a function of time as:
S(t) = -0.25t + 2
Learn more about Arctic Circle lake ice thickness here:https://brainly.com/question/15739889
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From their house to their parents house, the Leightons have to drive 276 miles. if they have already driven 2/3 of the distance, how far have they gone?
1. What is the area of this figure?
Enter your answer in the box.
? cm²
2. What is the measure of angle x?
Enter your answer in the box.
x = °
Answer:
The area if this figure is 35cm2
Step-by-step explanation:
A truck has total of a pounds of fruit in each of n boxes. How many pounds of fruit are on the truck?
Answer:
a x n
Step-by-step explanation:
There are a pounds in n identical boxes. That means you would have to multiply to get the answer.
An urn initially contains 5 white balls and 7 black balls. each time a ball is selected, its color is noted and it is replaced in the urn along with 2 more balls of the same color. what is the probability that of the first 2 balls selected, one is white and one is black?
How many ways are there to choose eight coins from a piggy bank containing 100 identical pennies and 80 identical nickels?
There are 9 ways to choose eight coins from a piggy bank.
Total number of ways =
(Combinations of 8 pennies) + (Combinations of 7 pennies and 1 nickel) + ... + (Combinations of 0 pennies and 8 nickels)
1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 9 ways
In 1999 there were 1647 daily and 7471 weekly newspapers published in the United States, as well as X other kinds of newspapers. The total number of newspapers was 700 greater then seven times the number of other kinds of newspapers. How many newspapers were published in 1999 that were not daily or weekly
I NEED THIS ANSWER !!!! 90 POInTS
Find the length of the missing side. The triangle is not drawn to scale.
x = sqrt(17^2 + 15^2)
x = 8
missing side = 8
Simplify the product. (5 − 6)(2 + 7)
A rectangle is 5 centimeters long and 4 centimeters wide. What is its area?
Explain how to rename the fractions using division so they have the same denominator to compare. 4/5 and 6/10
why does 16 to the power of 0 equal 1?
which of the following is equivalent to the polynomial below
Alina has a spinner that has 5 equal sections: red, blue, green, purple, and orange. She spins the spinner 200 times. About how many times should Alina expect the spinner to land on either purple or orange?
Answer:
HI!
Your spinner has 5 colors, and if you spin it, the probability of landing in each color will be the same ( because the spiner has 5 equal sections).
So for every spin, the probability on landing on each color will be 20%.
If i spin it 200 times, then the 20% of 200 is 0.2*200 = 40.
It means that if you spin it 200 times, then each colour shows 40 times theoretically. The question is: how many times should Alina expect the spinner to land on either purple or orange?
you have 40 for purple and 40 for orange, then the total times that the spinner lands on either purple or orange is 80.
Donte simplified the expression below. mc024-1.jpg What mistake did Donte make? He did not apply the distributive property correctly for 4(1 + 3i). He did not distribute the subtraction sign correctly for 8 – 5i. He added the real number and coefficient of i in 4(1 + 3i). He added the two complex numbers instead of subtracted.
The area of a circle (A) is given by the formula A=pi*r2
where r is the circle's radius. The formula to find r is . If and , r is centimeters.
The area of a circle is calculated with the formula A = πr², where pi is the mathematical constant approximately equal to 3.14159 and r represents the circle's radius. Considering significant figures is crucial for maintaining precision, as demonstrated in rounding the calculated area of a circle with radius 1.2 m to 4.5 m², based on the initial data's precision.
Explanation:The area of a circle is calculated using the formula A = πr², where π (pi) is a constant approximately equal to 3.14159, and r is the radius of the circle. When calculating the area with a given radius, it's important to consider the significance of figures in your final answer. For instance, if a circle's radius is given as 1.2 meters (with two significant figures), and you calculate the area to be 4.5238934 square meters using a detailed value of pi, you need to round your final answer to maintain the precision of your initial data, resulting in an area of 4.5 m².
It's also valuable to note how ancient civilizations, like the Greeks, approximated mathematics related to circles and how such estimations have evolved into our modern understanding, where the concept of significant figures plays a critical role in ensuring accuracy across varying fields of study and applications.
• Given the function, f(x) = x3 – 5x2 + 9x – 45, determine the number of roots and identify them.
Final answer:
The given function f(x) = x3 – 5x2 + 9x – 45 has rational roots ±1, ±3, ±5, and ±9.
Explanation:
To determine the number of roots and identify them for the function f(x) = x3 – 5x2 + 9x – 45, we can use the Rational Root Theorem and synthetic division. The Rational Root Theorem states that if a rational number p/q is a root of a polynomial equation, then p must divide the constant term (in this case, 45) and q must divide the leading coefficient (in this case, 1). By trying all possible combinations of p and q, we can find the rational roots of the equation. In this case, the rational roots are ±1, ±3, ±5, and ±9.
The number of real roots is 1, and it is ( x = 5 ).
To determine the number of roots and identify them for the function[tex]\( f(x) = x^3 - 5x^2 + 9x - 45 \)[/tex], we can use various methods such as the Rational Root Theorem, Descartes' Rule of Signs, or graphing techniques. In this case, since the degree of the polynomial is 3, we know that there will be 3 roots in total.
We'll start by checking for rational roots using the Rational Root Theorem. According to this theorem, if a rational root [tex]\( \frac{p}{q} \)[/tex] exists for the polynomial [tex]\( f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0 \), then \( p \)[/tex] is a factor of the constant term [tex]\( a_0 \) and \( q \)[/tex] is a factor of the leading coefficient [tex]\( a_n \)[/tex].
The constant term of [tex]\( f(x) \) is \( -45 \)[/tex]and the leading coefficient is ( 1 ). The factors of ( -45 ) are [tex]\( \pm 1, \pm 3, \pm 5, \pm 9, \pm 15, \pm 45 \)[/tex]. The factors of \( 1 \) are \( \pm 1 \)[tex]\( 1 \) are \( \pm 1 \)[/tex].
By trying all possible combinations of these factors, we can find the rational roots of the polynomial. We'll then use synthetic division or polynomial long division to check if these roots are actually roots of the polynomial.
Let's proceed with the calculations:
1. Possible rational roots:
[tex]\( \pm 1, \pm 3, \pm 5, \pm 9, \pm 15, \pm 45 \)[/tex]
2. Testing these roots using synthetic division or polynomial long division:
Testing [tex]\( x = 1 \)[/tex]:
[tex]\[ f(1) = (1)^3 - 5(1)^2 + 9(1) - 45 = 1 - 5 + 9 - 45 = -40 \][/tex]
Testing [tex]\( x = -1 \)[/tex]:
[tex]\[ f(-1) = (-1)^3 - 5(-1)^2 + 9(-1) - 45 = -1 - 5 - 9 - 45 = -60 \][/tex]
Testing [tex]\( x = 3 \)[/tex]:
[tex]\[ f(3) = (3)^3 - 5(3)^2 + 9(3) - 45 = 27 - 45 + 27 - 45 = -36 \][/tex]
Testing [tex]\( x = -3 \)[/tex]:
[tex]\[ f(-3) = (-3)^3 - 5(-3)^2 + 9(-3) - 45 = -27 - 45 - 27 - 45 = -144 \][/tex]
Testing ( x = 5 ):
[tex]\[ f(5) = (5)^3 - 5(5)^2 + 9(5) - 45 = 125 - 125 + 45 - 45 = 0 \][/tex]
[tex]\[ \Rightarrow \text{Root: } x = 5 \][/tex]
Testing ( x = -5 ):
[tex]\[ f(-5) = (-5)^3 - 5(-5)^2 + 9(-5) - 45 = -125 - 125 - 45 - 45 = -340 \][/tex]
Testing ( x = 9 ):
[tex]\[ f(9) = (9)^3 - 5(9)^2 + 9(9) - 45 = 729 - 405 + 81 - 45 = 360 \][/tex]
Testing ( x = -9 ):
[tex]\[ f(-9) = (-9)^3 - 5(-9)^2 + 9(-9) - 45 = -729 - 405 - 81 - 45 = -1260 \][/tex]
Testing ( x = 15 ):
[tex]\[ f(15) = (15)^3 - 5(15)^2 + 9(15) - 45 = 3375 - 1125 + 135 - 45 = 2340 \][/tex]
Testing ( x = -15 ):
[tex]\[ f(-15) = (-15)^3 - 5(-15)^2 + 9(-15) - 45 = -3375 - 1125 - 135 - 45 = -4680 \][/tex]
Testing ( x = 45 ):
[tex]\[ f(45) = (45)^3 - 5(45)^2 + 9(45) - 45 = 91125 - 10125 + 405 - 45 = 81060 \][/tex]
Testing ( x = -45 ):
[tex]\[ f(-45) = (-45)^3 - 5(-45)^2 + 9(-45) - 45 = -91125 - 10125 - 405 - 45 = -102705 \][/tex]
From these tests, we see that ( x = 5 ) is a root of the polynomial. The other roots are irrational or complex.
So, the number of real roots is 1, and it is ( x = 5 ).
If "np is greater than or equal to 15" and "n(1-p) is greater than or equal to 15", what is the approximate shape of the sampling distribution of the sample proportion?
Answer:
The sampling distribution of the sample proportion will be approximately normally distributed with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
If np >= 15 and n(1-p) >= 15
Can be approximated to the normal distribution, with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
So
The sampling distribution of the sample proportion will be approximately normally distributed with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Sarah spends 1/6 hour Vacuuming her moms car. She spends four times as long washing the car. Then she spends twice as long waxing the car as she does washing the car. What is the total amount of time Sarah spencer vacuuming washing and waxing her moms car
Answer:
C
Step-by-step explanation:
TRUE or FALSE?
Two arcs of a circle are congruent if and only if their associated radii are congruent.
divide -2x^3-5x^2+4x+2 by x+2
To divide the given polynomial by x + 2, use polynomial long division, which involves dividing the leading term, multiplying the divisor, subtracting, and repeating the process until all dividend terms are addressed.
To divide the polynomial -2x^3 - 5x^2 + 4x + 2 by x + 2, we can use the process of polynomial long division. This method is similar to long division with numbers, where we divide, multiply, subtract, bring down the next term, and repeat the process until we have gone through all terms of the dividend.
The process would look like this:
Divide the first term of the dividend (in this case, -2x^3) by the first term of the divisor (x), yielding -2x^2.Multiply the entire divisor (x + 2) by this quotient (-2x^2) and subtract the result from the dividend.Bring down the next term of the dividend and repeat the process until there are no terms left to bring down.The final result would be the quotient of the division, which may or may not have a remainder.
High statement is true? Y=log10^x is not a logarithmic function because the base is greater than 0
Answer:
Option 3 - [tex]y=\log_{1}x[/tex] is not a logarithmic function because the base is equal to 1.
Step-by-step explanation:
To find : Which statement is true?
Solution :
As the function defined in all statement is logarithmic function.
So, The definition of logarithmic function is defined as
[tex]y=\log_bx\Rightarrow b^y=x[/tex] where, b>0 and b ≠ 1.
Now, The following statement
1) [tex]y=\log_{10}x[/tex] is not a logarithmic function because the base is greater than 0.
The statement is False as by definition, the base of a log must be greater than zero but cannot equal one.
2) [tex]y=\log_{\sqrt3}x[/tex] is not a logarithmic function because the base is a square root.
The statement is False as by definition, the base [tex]\sqrt3[/tex] is a positive number not equal to one.
3) [tex]y=\log_{1}x[/tex] is not a logarithmic function because the base is equal to 1.
The statement is True as by definition log cannot have a base of one.
4) [tex]y=\log_{\frac{3}{4}}x[/tex] is not a logarithmic function because the base is a fraction.
The statement is False, as 3/4 is a legitimate base, just like any other positive number other than one.
Therefore, Option 3 is true.