Determine the function which corresponds to the given graph. a natural logarithmic function crossing the y axis at zero and going through the point 2,1.
The asymptote is x = -1.
Answer:
The function for the given description is y = ln (x + 1) - 0.098 .
Step-by-step explanation:
As you can see in the problem the asymptote is x = -1. This means that the function is not defined for x= -1 and as you know, natural logarithm is not defined for zero. So, it implies that when x tends to -1 the function tends to infinite. So it must be a number adding to x that makes -1 + b = 0 ⇒ b= 1.
Then, you have y = ln (x + 1). If you check, when you replace the point given in the problem (2,1), you find that y = ln (2 + 1) ⇒ y = ln(3) ⇒ y = 1.098, so you can introduce a correction factor ⇒ y = ln (x + 1) - 0.098.
Summarizing, the function decribed before can be y = ln (x + 1) - 0.098.
The school is planning a field trip. There are 14670 students and 48 seats on each school bus. How many buses are needed to take the trip?
plz explain how you got your answer
The easton west high school marching band has 52 members and the weston HIgh school marching band has 65 members.They are going to march in a parade. How can they be arranged so that each row has the same number of players? the players in each school have to separate.
A)Rows of 4
B)Rows of 13
C)Rows of 5
D )Rows of 8
Need help ASAP
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
Number of members in the easton west high school marching = 52
Number of members in the weston high school marching = 65
We need to find the number of rows so that each row has the same number of players.
For this we will do L.C.M. of 52 and 65.
So, L.C.M. of 52 and 65 = 13
Hence, there are 13 rows in all.
Therefore, Option 'B' is correct.
This is the process of predicting values for points which occur between those given in a set of bivariate data.
A one compartment vertical file is to be constructed by bending the long side of an 8 in 8 in. by 10 10 in. sheet of plastic along two lines to form a U shape. How tall should the file be to maximize the volume that it can hold?
In order to maximize the volume of the file, it should be 2 inches high. This is calculated using the optimization principle in calculus applied to the volume formula of a rectangular prism.
Explanation:This problem involves optimizing the volume of a vertically filed object, which is a common theme in calculus. The file is being formed from a rectangular sheet of plastic that is 8 inches by 10 inches by bending it to form a U-shape.
The volume of a rectangular prism (which is what the file will essentially be) is given by the formula length x width x height. In this case, the length will always be 10 inches because it's the undisturbed dimension. The 8-inch side will be divided into a height part and a width part once we bend it into a U shape. Since we don't know a priori what the height is yet, let's call it x. This means the width will then be 8 - 2x (since we lose x from each side to form the height).
Our volume function V becomes: V(x) = length x width x height = 10(8-2x)x. To maximize this volume, you want to take the derivative V'(x), set it to 0 and then solve for x. Taking the derivative will give you V'(x) = 10(8-4x), and setting it to 0 and solving gives you x = 2 inches. So, the file should be 2 inches high to maximize the volume it can hold.
Learn more about Volume Optimization here:https://brainly.com/question/33418667
#SPJ11
Suppose rebecca needs a dog sitter so that she can travel to her sister's wedding. rebecca values dog sitting for the weekend at $200. susan is willing to dog sit for rebecca so long as she receives at least $175. rebecca and susan agree on a price of $185. suppose the government imposes a tax of $30 on dog sitting. the tax has made rebecca and susan worse off by a total of
Final answer:
With the imposition of a $30 tax on dog sitting, Rebecca and Susan would both be worse off by the combined surplus of $25 they initially had without the tax, as the tax exceeds the surplus and disrupts the transaction.
Explanation:
The question involves the impact of a tax on a market transaction between Rebecca and Susan, who had initially agreed upon a price for dog sitting. Initially, without the tax, the surplus for Rebecca would be the difference between what she values the service at ($200) and the agreed price ($185), which is $15. For Susan, the surplus is the difference between the agreed price ($185) and her minimum acceptable price ($175), which is $10. This results in a combined surplus of $25. When a $30 tax is imposed, it is likely that they will share the burden of the tax, but without specifics on how the tax is divided, we will consider it fully affects either party. If the full tax falls on Susan, she would receive $155 ($185 - $30), which is less than her minimum price of $175; thus, she would no longer agree to dog sit. If Rebecca bears the entire tax, she would effectively be paying $215 ($185 + $30), which is more than her valuation of $200, and she would not agree to the transaction. Regardless, the transaction would not occur due to the tax, making both parties worse off by the surplus they would have gained, which is the combined $25.
What is a classification for a triangle with angle measures of 20, 80, and 80 degrees,?
Answer:
its a icolaleas
Step-by-step explanation:
In a flock of black and white sheep, 2 out of 5 sheep are white. If there are 8 more black sheep than white sheep, how many sheep are in the flock?
To find the total number of sheep in the flock where 2 out of 5 are white and there are 8 more black than white sheep, we set up a ratio and solve for the number of white sheep (W), which is 16. We then determine the number of black sheep (B) to be 24, leading to a total of 40 sheep.
Explanation:The subject of the question is mathematics, and it appears to be at the middle school level. The task involves determining the total number of sheep given that 2 out of 5 are white and there are 8 more black sheep than white. Let's define the variables: W for white sheep and B for black sheep. From the statement, we have the ratios W/B = 2/3 because for every 2 white sheep, there are 3 black sheep which are proportionally 5 sheep in total (2+3=5), and we have the relationship B = W + 8 because there are 8 more black than white sheep. Using these equations, we can solve for W and B.
From the ratio W/B = 2/3, we can express B as B = 3/2 * W.Replace B in the second equation with 3/2 * W:Therefore, the total number of sheep in the flock is 40.
solve for n , S = (n - 2)180
Which of the following represents side lengths that form a Pythagorean triple?
A. 7, 8, 9
B. 1, 2, 3
C. 4, 5, 6
D. 3, 4, 5
Answer:
D. 3, 4, 5
Step-by-step explanation:
Pythagorean theorem : [tex]Hypotenuse^2 = Perpendicular^2+Base^2[/tex]
If the given options satisfy the theorem .So, they form a Pythagorean triple.
Hypotenuse is the longest Side
A)7, 8, 9
Hypotenuse = 9
[tex]Hypotenuse^2 = Perpendicular^2+Base^2[/tex]
[tex]9^2 = 7^2+8^2[/tex]
[tex]81 = 49+64[/tex]
[tex]81 \neq 113[/tex]
Hence not a Pythagorean triple.
B)1,2,3
Hypotenuse = 3
[tex]Hypotenuse^2 = Perpendicular^2+Base^2[/tex]
[tex]3^2 = 2^2+1^2[/tex]
[tex]9 = 4+1[/tex]
[tex]9 \neq 5[/tex]
Hence not a Pythagorean triple.
C) 4,5,6
Hypotenuse = 6
[tex]Hypotenuse^2 = Perpendicular^2+Base^2[/tex]
[tex]6^2 = 3^2+4^2[/tex]
[tex]36 = 9+16[/tex]
[tex]36 \neq 25[/tex]
Hence not a Pythagorean triple.
D)3,4,5
Hypotenuse = 5
[tex]Hypotenuse^2 = Perpendicular^2+Base^2[/tex]
[tex]5^2 = 3^2+4^2[/tex]
[tex]25 = 9+16[/tex]
[tex]25 = 25[/tex]
Hence a Pythagorean triple.
Hence Option D represents side lengths that form a Pythagorean triple
Answer:
it is D 3,4,5
"Eventually the things in life that gave you pause mean nothing. Time... becomes your friend." (math 1 help plz)
1. what is the product of 3/4 and - 6/7?
1. -7/8
2.-9/14
3. 9/14
4. 7/8
2. what is the product of -2/7 and -3/7?
1. -7/8
2.-6/49
3. 6/49
4. 7/8
How do the expressions 72÷ 9 and -72÷ (-9) compare when they are evaluated?
1. They have different values and are different signs.
2. They have different values but are the same sign.
3. They have the same value but are different signs.
4. They have the same value and the same sign.
thank you for all the answers;)
Answer:
1. -9/14
2. 6/49
3. number 4
Step-by-step explanation:
describe how you could estimate thw IQR of the data set from a histogram
Answer: Once you put the numbers in order and find the median do the same process that you did to find the median to the left and right side of the median. Once you find the " median " of the left and right sides ( which are called the 1st and 3rd Quartiles ) You will subtract the 1st quartile from the 3rd Quartile and that will give you the IQR.
Step-by-step explanation:
Determine the x-intercepts of the function. Check all that apply. (–2, 0) (–1, –2) (0, 0) (1, 0) (2, 0)
it's (0, 0) and (-2, 0) so A & C
Answer: A, C
Step-by-step explanation:
Hope this helps!!
Simone has 5 employees in her flower shop. Each employee works 6 4⁄15 hours per day. How many hours, in total, do the 5 employees work per day?
A. 30
B. 31 1⁄3
C. 28
D. 30 2⁄3
The 5 employees work per day is [tex]31\frac{1}{3}[/tex].
What is arithmetic operations?A subfield of mathematics known as arithmetic operations deals with the study and application of numbers to all other subfields of mathematics. Operations like addition, subtraction, multiplication, and division make up the bulk of it.
These essential numerical tasks (+, - , ×, and ÷) we use in our regular day to day existence. Arithmetic operations are used in every aspect of our lives, whether we need to figure out the annual budget or divide something equally among several people.
Given total employees in flower shop = 5
each employee work [tex]6\frac{4}{15}[/tex] hours per day
[tex]6\frac{4}{15}[/tex] can be solved as = 6 + 4/15 = 94/15
total work time of 5 employees can be calculated by
94/15 + 94/15 + 94/15 + 94/15 + 94/15 = 470/15 = 94/3
or 5 x 94/15 = 94/3
dividing 94 by 3 we get [tex]31\frac{1}{3}[/tex] in mixed fraction.
Hence the total work 5 employees do in a day is [tex]31\frac{1}{3}[/tex].
Learn more about arithmetic operations;
https://brainly.com/question/25834626
#SPJ2
What is the measure of ∠DAE? 45° 46° 91° 146°
Answer:
The answer/measure is 45 degress.
Step-by-step explanation:
The measure of ∠DAE is 45°.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
In the given figure let's say angle FAE = x than
x = 180 - 134 = 46 degree
Now by line CAF angle ∠DAE = 180 - ( 89 + 46 ) = 45° hence it will be correct answer.
For more about the angle
brainly.com/question/13954458
#SPJ6
Marisol keeps track of her weekly quiz grades as shown in the table.
a. Complete the table
b. In which class did Marisol have the higher score?
c. Suppose Marisol scored a 96% on an english test. There were 50 questions on the test. How many did Marisol answer correctly?
Test / Number/Score/Total
Correct
____________________
Math/ 68 / /85
Science/ / 90% / 70
Marisol got 80% on her Math quiz by answering 68 out of 85 questions correctly, and 90% on her Science quiz by answering 63 out of 70 questions correctly. She scored higher in Science. For her English test, by scoring 96%, she got 48 out of 50 questions correct.
Explanation:To complete the table and find the number of questions Marisol got correct in Science, we use the percentage score and total number of questions. For the Math test, she got 68 questions correct out of a total of 85 questions. To find the corresponding percentage, we calculate (68/85) * 100%.
For the Science test, we use the given percentage score of 90% and the total of 70 questions to find the number of correct answers. The calculation is (90/100) * 70.
To find out in which class Marisol had the higher score, we compare the calculated percentage scores from the Math and Science classes.
Finally, to determine the number of questions Marisol answered correctly on the English test, where she scored 96% on a 50 question test, we use the calculation (96/100) * 50.
Explain when the median of a data set is a better measure of center than the mean
Answer:
Sample Response: When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.
What did you include in your response? Check all that apply.
The dot plot or histogram will be skewed.
The mean is pulled up or down toward the tail.
The mean is affected more than the median.
the simplest form of the square root of 3,025 is
Tours of the art museum are offered every 1/3 hour starting at 10 A.M. The museum closes at 4:00 P.M. How many tours are offered each day?
And
Small juice bottles come in packages of 6. yogurt treats come in packages of 10. paula qanta to have the exact same number of each item. what is the least number of bottles of juice and individual yogurt treats she will have? how many packages of each will she need?
What is the value of the expression?
5/6−(1/8÷3/4)
Enter your answer, as a fraction in simplest form, in the box
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
We are given that an expression
[tex]\frac{5}{6}-(\frac{1}{8}\div\frac{3}{4})[/tex]
We have to find the value of expression.
[tex]\frac{5}{6}-(\frac{1}{8}\div\frac{3}{4})[/tex]
When we change divide into multiply then the term will be reciprocal.
By using this property
[tex]\frac{5}{6}-(\frac{1}{8}\times \frac{4}{3})[/tex]
[tex]\frac{5}{6}-\frac{1}{6}[/tex]
By simplification
[tex]\frac{5-1}{6}[/tex]
By simplification
[tex]\frac{4}{6}[/tex]
By using subtraction property of integers
[tex]\frac{2}{3}[/tex]
Hence, the value of given expression =[tex]\frac{2}{3}[/tex]
find the area of a figure whose coordinates are A (-2,2) B (2,2) C (2,-2) D (-2,-2)
12 units.squared
16 units.squared
20 units.squared
24 units.squared
Vivian is going to do some yard work, but she needs to leave her house at 1:00 to go to a football game. She is going to mow the lawn for 1 hour and 10 minutes, trim some bushes for 30 minutes, and put down some mulch for 35 minutes. She will also need 20 minutes to shower and get dressed. What time should she start the work so she will be ready at 1:00?
Answer:
Vivian should start working by 10.25 am.
Step-by-step explanation:
Time taken to mow the lawn = 1 hour and 10 minutes
Time to trim bushes = 30 minutes
Time for putting down mulch = 35 minutes
Time to get dressed = 20 minutes.
Total time = 1 hour + (10+30+35+20) minutes
= 1 hour + 95 minutes
= 1 hour + (60+35) minutes
= 1 hour + 1 hour + 35 minutes
= 2 hours 35 minutes.
This means Vivian should start working 2 hours 35 minutes before 1:00 pm.
So, it becomes ; 10:25 am.
Express each product in the simplest form.
In triangle ABC, < A = 38° and < B = < C. Find < B.
m< B =
A.) 26°
B.) 71°
C.) 142°
71 odyssey just had this
Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at least 24 ft and must go a horizontal distance of no more than 10 ft. The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.
The graph shows the feasible region, where x represents the horizontal distance and y represents the vertical distance.
Which ordered pairs meet all the constraints for a successful launch and make sense in context of the situation?
Select each correct answer.
(0, 33)
(4, 36)
(4.8, 30.5)
(9, 26)
(2, 22)
The function y = [x] is defined as follows: for any input x, the output is the smallest integer that is greater than or equal to x (“rounding up” any non-integer to the next integer).
Draw the graph of y = [x] for -2 ≤ x ≤ 2. Upload a handwritten copy of your graph as your final answer.
Answer:
Step-by-step explanation:
City A and City B had two different temperatures on a particular day. On that day, four times the temperature of City A was 8° C more than 3 times the temperature of City B. The temperature of City A minus twice the temperature of City B was −3° C. What was the temperature of City A and City B on that day?
Your answer:
City A was 5° C, and City B was 4° C.
City A was 3° C, and City B was −1° C.
City A was 8° C, and City B was −3° C.
City A was 5° C, and City B was −5° C.
City A = x
City B = y
1st equation: 4x-8 =3y
2nd equation: x-2y = -3 , rewrite as x = 2y-3
replace x in eq. 1 with equation 2
4(2y-3) -8 =3y
8y-12-8=3y
8y-20 = 3y
-20 = -5y
y = -20/-5 = 4
x = 2y-3 = 2(4)-3 = 5
City A was 5° C, and City B was 4° C.
What is Curtis's net pay?
regular earnings + overtime = 421.00 + 78.00 = 499.00
add all the deductions: 29.59 + 30.75 + 18.30 + 25.00 + 7.50 + 5.00 = 116.14
subtract deductions from pay:
499.00 - 116.14 = 382.86
Answer is B $382.86
A triangle can have at most ____ right angle(s).
No
1
2
4
Answer:
The answer is 1