x-intercept(s): (2, 0)
y-intercept(s): (0, -5)
M= [tex]\frac{5}{2}[/tex]
please answer this question
Answer:
-ln(| x - 1 |) + -ln(| x - 2 |) + C
Step-by-step explanation:
[tex]\displaystyle \int \dfrac{1}{x^2 -3x +2} dx\\\\\\=\displaystyle \int \dfrac{dx}{x^2 -3\cdot \dfrac 32 \cdot x + \left(\dfrac 32 \right)^2 -\left( \dfrac 32 \right)^2 +2}\\\\\\=\displaystyle \int \dfrac{dx}{\left(x- \dfrac 32 \right)^2 +2- \dfrac 94}\\\\\\=\displaystyle \int \dfrac{dx}{\left(x - \dfrac 32 \right)^2-\dfrac 14 }\\\\\\=\displaystyle \int \dfrac{du}{u^2-\left( \dfrac 12 \right)^2} ~~~~~~~~~~~~~~~~~~;\left[u = x - \dfrac32\implies du= dx\right]\\[/tex]
[tex]=\dfrac{1}{2\cdot\tfrac 12} \ln \left| \dfrac{u-\dfrac 12 }{u+\dfrac 12 } \right|+C~~~~~~~~~~:\left[ \displaystyle \int \dfrac {dx}{x^2 -a^2} = \dfrac 1{2a} \ln \left| \dfrac{x-a}{x+a} \right| +C\right]\\\\\\=\ln\left|\dfrac{x- \dfrac 32 - \dfrac 12}{x-\dfrac3 2 + \dfrac 12 } \right|+C~~~~~~~~~~~~;\left[\text{Substitute back}~u =x- \dfrac 32 \right]\\\\\\=\ln\left|\dfrac{x-2}{x-1} \right|+C[/tex]
The circumference of a circle is 25 units. What is the area of the circle in terms of pie?
Answer:
49.7359 units²
Step-by-step explanation:
Area = πr²
Circumference = 2πr
2πr = 25
πr = 12.5
r = 12.5 / π = 3.97887
π(3.97887)² = 49.7359 units²
Hope this helps
this is my last problem for this it shouldn’t take long pls help.
Answer:
2
Step-by-step explanation:
i got 20/8 from multiplying same with 1/2
20/8 - 1/2 = 2
A group of friends wants to go to the amusement park. They have $318.50 to spend on parking and admission. Parking is $17, and tickets cost $33.50 per person, including tax. How many people can go to the amusement park?
Answer:
9 people
Step-by-step explanation:
The amount spent on tickets
318.5 - 17 = 301.5
If 301.5 was for tickets alone, the number of tickets can buy
301.5/33.5 = 9
Now
our equation is
y=33.5x+17No of persons=x
318.5=33.5x+1733.5x=301.5x=9peopleThe first rule is to add 10, then divide by 2 starting from 2. The second rule is to multiply by 3, then subtract 2 starting from 2. What are the first four ordered pairs using the two sequences?
Answer: [tex](2, 2), (6, 4), (8, 10), (9, 28)[/tex]
Step-by-step explanation:
The first four ordered pairs using the two sequences are:[tex](2, 2), (6, 4), (8, 10), (9, 28)[/tex]
The first rule is to add 10, then divide by 2 starting from 2
Add/Divide:
[tex]10=2+10=12[/tex]
[tex]2=12[/tex]÷[tex]2=6[/tex]
Add/divide again:
[tex]10=6+10=16[/tex]
[tex]2 = 20[/tex]÷[tex]2 = 10[/tex] [tex]2=16[/tex]÷[tex]2=8[/tex]
Add/divide again:
[tex]10=8+10=18[/tex]
[tex]2=18[/tex]÷[tex]2=9[/tex]
write an explicit formula for An, the nth term of the sequence 40,33,26,…
Answer:
an = 40 -7(n -1)
Step-by-step explanation:
The given sequence has terms with a common difference, so it is an arithmetic sequence. The formula for the general term of an arithmetic sequence applies:
an = a1 +d(n -1)
__
The first term of the given sequence is ...
a1 = 40
The common difference for this sequence is ...
d = 33 -40 = -7
Using these values in the equation for the n-th term, we have ...
an = 40 -7(n -1) . . . . . explicit formula for the n-th term
Angie mixes 7 2/3 pints fruit juice and 3 1/4 pint sprite to make punch far a party. she has 6 pints left at the end of the party. How much punch did Angie serve at the party?
Answer:
16 11/12
Step-by-step explanation:
7 2/3 + 3 1/4 =
7 8/12 + 3 3/12 =
10 11/12 + 6
16 11/12
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Enter the number 0.9 as hundredths in fraction form and decimal form.
Fraction:
Decimal:
Answer:
Below.
Step-by-step explanation:
0.9 = 90/100 fraction and
= 0.90 as a decimal.
Find the probability that exactly four of them retake this test.
I believe it’s C, convert 0.188 into a fraction
What is the classification of the triangle by its angles and by its sides?
Answer:
B. acute, isosceles
Step-by-step explanation:
The two small lines intersecting the two sides stand for congruency.
Two sides are congruent, so this is an isosceles triangle.
None of the angles here are greater or equal to 90 degrees, so it is an acute triangle.
Please mark brainliest!
Answer:
B. Acute, isosceles
Step-by-step explanation:
Angles can be classified by both their sides and angles. There are 3 classification for each measurement, making 6 total classifications. This includes acute, right, and obtuse for angles and isosceles, scalene, and equilateral for sides.
Sides
The tic marks on 2 sides on the side show that they are congruent. Any triangle that has 2 congruent sides is classified as isosceles.
An additional fact is that the angles opposite of the congruent sides are also congruent. This information is not pertinent to this question, but might be useful in the future.
Angles
A triangle's classification for its angles is always based on the largest angle in the triangle. In this case, the largest angle is an acute angle. Remember that an acute angle is less than 90 degrees. This means that the triangle is acute.
Angelica uses the point to represent the location of her house and uses the point to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica’s house? Show your work.
Answer:
Distance for leg a? _____________________
Distance for leg b?______________________
Fill in the distances below and use the formula to solve for c. a^2+b^2=c^2
C=____________________________
Will give brainliest if you answer all questions with work shown!
I am going to assume that leg a:
⇒ is the horizontal distance between the house and the gas station
⇒ Distance for leg a: 6 miles
I am also going to assume that leg b
⇒ is the vertical distance between the house and gas station
⇒ Distance for leg b: 5 miles
Thus using the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex]
⇒ (look at diagram attached for further explanation)
[tex]a^2+b^2=c^2\\\\6^2+5^2=c^2\\c=\sqrt{6^2+5^2} \\c=\sqrt{61} =7.81[/tex]
Answer: 7.81
Hope that helps!
Karen is applying for the nursing school at the University of Davis. Before applying, she received a breakdown of the tuition and fees from the university.
Tuition: $676 per semester plus $200 per class
Books: $86 per class
Nursing School Fee: $19 per class
Parking: $66 per semester
Facilities Fee: $54 per semester
The total cost of a semester for c classes is represented by the following expression. $305c + $796
Which statement best describes the coefficient of c?
A.
It is the sum of the cost of books and the nursing school fee.
B.
It is the total semester cost of c classes at the university.
C.
It is the sum of the additional cost of tuition, books, and nursing school fee.
D.
It is the sum of the tuition, parking, and facilities fee.
Answer:
A
Step-by-step explanation:
Step-by-step explanation:
What is the median of the data set below?
59, 76, 18, 5, 2, 10, 8, 14, 18, 14, 8, 2
O 10
O 12
O 8
O 19.5
find the discriminantof 3x - 10x = -2
Answer:Here, a=3, b=-10 and c=2. Substitute the values, Therefore, the discriminant of is 76.
Step-by-step explanation:
Last year direct marketing had $122,222 in sales. This year direct marketing's sales are down by 9%. What are direct marketings sales this year
Answer:
$111222.02
Step-by-step explanation:
This year = Last year * (100%-9%)
This year = 122222 * 91% = 111222.02
PLEASE I REALLY NEED HELP FAST
A batch of 5500 computers is produced by a company. Four random samples of 35 computers per sample are
tested. The numbers of defective computers found in the fou samples are shown in the table.
Sample of 35
Computers
Number of
Defective
Computers
А
1
B
3
с
1
D
2.
Based on these results, how many defective computers should be expected in the entire batch of 5500 computers?
It's around 1 to 3
So
From 35 it's 1,2,3
From 5500 samples of 35
5500/35≈157Now
If 1 comes from each
157(1)=157 detectsIf 2
157(2)314detectsIf 3
157(3)471 detectsDuring the editing step, what function helps spot errors in your writing and helps you to fix them?
A. Spell check
B. Internet
C. Dictionary
D. Thesaurus
Answer:
The answer is A: Spell check
What is 1 minus 2 times parentheses 3 minus 4 and closed parentheses.
Answer:
1
Step-by-step explanation:
because parentheses go first so 2 x 3 = 6 minus 1 = 5 minus 4 = 1
A cylinder, cone, and sphere all have the same radius of 5 cm. The cone and cylinder have the
same height of 6 cm.
Find the volume of each shape. Show your work or explain your work.
Which shape would hold them most?
The volume of the cylinder is 471.43 cm³.
The volume of the cone is 157.14 cm³.
The volume of the sphere is 523.81 cm³.
The shape that would hold the most volume is the sphere.
What is the volume of a cylinder?A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder = πr²h
Where:
π = 22/7
r = radius
22/7 x 5² x 6 = 471.43 cm³
What is the volume of a cone?Volume of a cone = 1/3 x volume of a cylinder
1/3 x 471.43 cm³ = 157.14 cm³
What is the volume of a sphere?
Volume of a sphere = 4/3 x pi x r³
4/3 x 5³ x 22/7 = 523.81 cm³
To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219
#SPJ1
$2 shared among 4 is———-cents each or $————each
Answer:
$2 shared among 4 is 50 cents each or $0.50 each.
Step-by-step explanation:
2/4 = 50
45% of what number is 300?
Then, explain how these are similar and how are they different.
HELP PLEASE ILL GIVE ALOT OF POINTSS
Answer:
666 2/3
Step-by-step explanation:
45 % * x = 300
.45 x = 300
x = 300 / .45 = 666 2/3
HELP PLS ILY
Mr. Taylor collected apples on Friday. On Saturday, he collected 2/3 of the amount collected on Friday. How many bushels of apples did Mr. Taylor collect on Saturday.
Answer:
3 + 2/3 = 9/3 + 2/3 = 11/3
11/3 * 2/3 = [tex]\frac{11}{3} * \frac{2}{3}[/tex] = [tex]\frac{22}{9}[/tex] = [tex]2\frac{2}{9}[/tex]
Self note:
Friday says 3 2/5 and Saturday is blank
Sorry I took so long
solve for x～
[tex]x {}^{2} - 5x + 6 = 0[/tex]
thankyou! :)
Answer:
x=2,3
Step-by-step explanation:
[tex] {x}^{2} - 5x + 6 = 0 \\ {x}^{2} - 2x - 3x + 6 = 0 \\ x(x - 2) - 3(x - 2) = 0 \\ (x - 2)(x - 3) = 0 \\ either \: x = 2 \: \: \: \: \: or \: x = 3[/tex]
Which number added to -1 gives the sum of 0?
Answer:
+1
Step-by-step explanation:
Positive 1
Find the value of x.
Answer:
x = 27
Step-by-step explanation:
because the angles are on a line that means they add up to 180
18 + x + 5x = 180
then combine like terms
18 + 6x = 180
then you subtract 18 from both sides
6x = 162
lastly divide both sides by 6
x = 27
Suppose a triangle has sides 3, 4, and 6. Which of the following must be true?
• A. The triangle in question may or may not be a right triangle.
•
B. The triangle in question is not a right triangle.
• C. The triangle in question is a right triangle.
Answer:
The answer would be B
Step-by-step explanation:
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
A right triangle with sides 3 and 4 would have a hypotenuse of 5.
The answer would be:
B. The triangle in question is not a right triangle.
Find the range of the given numbers. {41 , 43 , 52 , 25 , 96 , 19 , 72}
Answer: 77
Step-by-step explanation:
[tex]$$Find the range of the list:$$(41,43,52,25,96,19,72)$$The range of a list is given by:(largest element) - (smallest element) \\$(41,43,52,25,\bold{96},19,72)$ We see that the largest element is $96:$ $-(($ smallest element $))+96$\\$(41,43,52,25,96,\bold{19},72)$ We see that the smallest element is $19:$ $96-19$\\$$96-19=77$$Therefore, the range of the set is 77[/tex]
Use natural logarithms to solve the equation. Round to the nearest thousandth.
7e3x − 4 = 14
Answer:
0.315 to nearest thousandth.
Step-by-step explanation:
7e^3x − 4 = 14
7e3x = 18
e^3x = 18/7
3x = ln(18/7)
x = ln(18/7) / 3
= 0.31482.
Does anyone know the correct answer?
Step-by-step explanation:
using indices..
(7.2x 10³)/(1.2x10^5)
7.2/1.2 = 6
10³/10^5 = 10-²
answer = 6x 10-2
(c)
