Answer:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
General Formulas and Concepts:
Calculus
Discontinuities
Removable (Hole) Jump Infinite (Asymptote)Integration
IntegralsDefinite IntegralsIntegration Constant CImproper IntegralsStep-by-step explanation:
Let's define our answer choices:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
B) [tex]\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx[/tex]
C) [tex]\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx[/tex]
D) None of these
We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.
Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.
∴ our answer is A.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
y = 2x+3
2x + 5y = 3
SOLVE using substitution please show work !
Answer:
x= -1
Step-by-step explanation:
A is what percent of B? Pls help???
Answer:
If you want to know what percent A is of B, you simple divide A by B, then take that number and move the decimal place two spaces to the right. That's your percentage!
Step-by-step explanation: There is no exact answer and it would be null. You didn't even give an image
You have completed 35% of your workout. Your workout is 35 minutes long. How much time do you have left?
Answer:
You have 12.25 minutes left to workout.
Step-by-step explanation:
Identify the data that is quantitative.
total number of grocery stores
types of expenses for a grocery store
types of products sold in a grocery store
style of restaurants in a grocery store
Which is the solution of this system of equations?
y=5x-8
3y=x+18
Answers:
x=7, y=3 x=4, y=12
x=3, y=7 x=0, y=6
Answer:y=12
Step-by-step explanation:
Answer:
y=12
Step-by-step explanation:
i hope it was helpful
what is the answer to −9p − 6 = −141
Answer:
p = 15
Hope this helps
Step-by-step explanation:
What is the length of AB?
12 units
6
6 units
4
2
14 units
B
-8
-6
-4
-2
0
BX
-2
10 units
4
А
-6-
Answer:
12
Step-by-step explanation:
i counted 12 units from A to get to B
Answer:
I took the diagnostic and I don't know what it was. I wish they would tell you. But I think 14.
What is the slope of the line 6x + y = 24?
Answer:
-6
Step-by-step explanation:
You need to get it in Point-Slope form, or
y = mx + b
Isolate y by subtracting 6x
You are left with:
y = -6x + 24
M is the slope, so in this case, it is -6
Answer:
The slope is -6/1 but the slope-intercept form is y=-6x+24
Step-by-step explanation:
y=mx+b
6x+y=24
first you want to subtract 6x from each side.
y=-6x+24
m=-6x or -6/1
b= 24
Answer ASAP this practice is due tomorrow
Answer:
i think it's Z = 8,4
I'm not sure
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation. Point: (5,4) Equation: y = 2/5x - 2
Answer:
y = (2/5)x + 2
Step-by-step explanation:
The given equation y = (2/5)x - 2 is already in slope-intercept form. The equation of the new line has precisely that form, except that the constant is different. To find the new constant (which is the y-intercept), replace x with 5 and y with 4 in y = (2/5)x + C:
4 = (2/5)(5) + C, or
4 = 2 + C. Therefore, C = 2 and the equation of the new line is y = (2/5)x + 2.
solve the inequality -2z-3<5. what is the value of z?
Hey there!
The answer to your question is z > -4
We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.
-2z - 3 < 5 add 3 to both sides
-2z < 8 divide both sides by -2, and flip the inequality sign
z > -4
Good luck! Hope it helps, and have a great day!
Answer:
The answer is z > -4
but a line down were is the (>)
I ready!
holpe it help
Matthew drives at an average speed of 62mph for 5 hours how many miles does matthew drive?
Answer:
He drove 310 miles per hour
Step-by-step explanation:
So this means that in one hour he drives 62 miles
to find how much in five hours multiply 5 by 62
5x62=310miles
Answer:52
Step-by-step explanation:
105 people are going to a movie 6 people can ride in each car how many cars are needed to get all 105 people to the movie
Answer:
17.5
105 divided by 6 equals 17.5
18 cars are needed to get all 105 people to the movie.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, 105 people are going to a movie 6 people can ride in each car.
Let the number of cars required be x.
Now, x= Total number of people/Number of people in each car
= 105/6
= 17.5
≈ 18
Therefore, 18 cars are needed to get all 105 people to the movie.
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An atom of a certain element has 37 protons, 37 electrons, and a mass number of 85. How many neutrons are
in this atom?
Answer:
There will be 48 neutrons.
Step-by-step explanation:
Hope this helps and have a great day :)
There will be 48 neutrons in this atom.
What is mass number?The mass number of an element is the number obtained when the number of protons and neutrons in the nucleus of an atom of the element are summed together.
The addition of protons and neutrons in the nucleus of an atom is collectively known as the nucleon. Thus, the mass number of an atom can also be referred to as the nucleon of the atom.
This can be mathematically expressed as follows;
Mass number = number of protons + number of neutrons.
We are given that atom of a certain element has 37 protons, 37 electrons, and a mass number of 85.
So,
Mass number = number of protons + number of neutrons.
85 = 37 + n
n = 85 - 37
n = 48
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Please help me I need it!!!!
Answer:
d
Step-by-step explanation:
because it starts off under the water which is -24 then you add a positive 24 to get to sea level
Answer:
the distance above sea level after increasing 24 meters from a depth of 24 meters below sea level
Step-by-step explanation:
equation- -24m + 24m = 0
the answer to the first one is -10 (-5 - 5 - -10)
the answer to the second one is 1,000 (0 + 1,000 = 1,000)
the answer to the third one is 10 ( 20 - 10 = 10)
the answer to the fourth one is 0 (-24 + 24 = 0)
Find x and y so that the quadrilateral is a parallelogram.
Answer:
Result:
The value of x = 12The value of y = 21Step-by-step explanation:
Given
The parallelogram DEFG
DE = 6x-12
FG = 2x+36
EF = 4y
DG = 6y-42
We know that the opposite sides of a parallelogram are equal.
As DE and FG are opposite sides, so
DE = FG
substituting DE = 6x-12 and FG = 2x+36 in the equation
6x-12 = 2x+36
6x-2x = 36+12
simplifying
4x = 48
dividing both sides by 4
4x/4 = 48/4
x = 12
Therefore,
The value of x = 12
Also, EF and DG are opposite sides, so
EF = DG
substituting EF = 4y and DG = 6y-42 in the equation
4y = 6y-42
switching sides
6y-42 = 4y
6y-4y = 42
2y = 42
dividing both sides by 2
2y/2 = 42/2
y = 21
Therefore,
The value of y = 21
Result:
The value of x = 12The value of y = 21help me out? please !
Answer:
trapezoid
Step-by-step explanation:
0.03y=-0.01x+0.12
HALP
GRAPH PLEASE
Round 154.98 to the nearest 10th
Answer: 155
Step-by-step explanation:
To round 154.98 to the nearest tenth, remember that in the hundredths place is 8 and is more than 5. Therefore, the tenths value of 154.98 increases by 1 to 0.
in long division 42 divided by 966
i think you meant 42 divided by 966 but if it true, then its 1/23 in exact form but in decimal, its 0.04347826 ...
hope this helps :)
Parson City Middle School has 1,340 students. About 38% of the students are in the seventh grade. About how many seventh-graders attend Parson City Middle School?
Answer: About 509 seventh-graders attend Parson City Middle School.
Step-by-step explanation:
Total students in the school = 1,340
About 38% of the students are in the seventh grade.
Number of students in the seventh grade = 38% of (Total students in the school)
= 0.38 x (1340) [38%= 0.38]
= 509.2 ≈ 509
Hence, About 509 seventh-graders attend Parson City Middle School.
If answered correctly, I will give brainliest and 30 points. i also need this asap.
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
First, let's find the equations for our lines:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
f(x) passes through (5,0) and (10, 10), then the slope is:
a = (10 - 0)/(10 - 5) = 10/5 = 2.
then we have:
y = 2*x + b
And when x = 5, we have y = 0.
0 = 2*5 + b
0 = 10 + b
b = -10
Then the equation for f(x) is:
y = f(x) = 2*x - 10.
Now for g(x) we have the points:
(3, 0) and (2, 10)
a = (10 - 0)/(2 - 3) = -10
y = -10*x + b
0 = -10*3 + b
b = 30.
y = g(x) = -10*x + 30.
A) Ok, the transformations:
Transformation 1 or T1.
f(x) = 2*x - 10
g(x) = -10*x + 30.
Then, we start with f(x):
First, we can move f(x) up 4 units and get:
f'(x) = 2*X - 6
Now we can dilate f(x) with a scale factor of -5 from the origin, now we get:
f''(x) = -5*f'(x) = -10*x + 30.
And this is g(x).
Transformation 2 or T2.
Move f(x) up 10 units, so now we have:
f'(x) = 2*x
Do a reflection over the x-axis, so the sign of y changes, and now we get:
f''(x) = -2*x
Do a dilation of scale factor 5
f'''(x) = 5*-2*x = -10*x
Now do a vertical translation of 30 units up.
f''''(x) = -10*x + 30 = g(x).
These are two transformations that start with f(x) and end with g(x).
B) Ok, as i was writting the transformations i already solved them, so this part is already done.
C) the equation for the transformations are:
T1) g(x) = -5*(f(x) + 4)
T2) g(x) = -(f(x) + 10)*5 + 30
A parabola can be drawn given a focus of (6,-2)and a directrix of x = -−3. What can be said about the parabola?
Answer:4
Step-by-step explanation:
6,-2=x-3=4
8 (n + 2) = __n + __
Answer:
The blanks are 8 and 16
Step-by-step explanation:
Distribute the 8:
8(n + 2) = 8*n + 8*2 = 8n + 16
4 In Ms. Smith's class of 26 students, 12 wear glasses. What is the ratio of students who
wear glasses to those who don't?
A. 12:26
B. 26:12
C. 12:14
D. 4:12
Answer:
C
Step-by-step explanation:
In the diagram below, AB and BC are tangent to O. What is the measure of
AC?
Answer: D. 112°
Step-by-step explanation: Just answered it...
The measure of arc AC, if The line segment AB and BC are the tangents drawn to the circle, and The measure of angle CBA, ∠ CBA = 68°, is 112°, so option D is correct.
What is circle?A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).
Given:
The line segment AB and BC are the tangents drawn to the circle,
The measure of angle CBA, ∠ CBA = 68°,
The measure of the major arc, AC = 248°,
Calculate the measure of the minor arc as shown below,
∠ CBA = Major arc - minor arc / 2 (Tangent circle theorem)
68 = 248 - AC / 2
68 × 2 = 248 - AC
136 = 248 - AC
AC = 248 - 136
AC = 112°
Thus, the measure of arc AC is 112°
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HELP ASAP
6+ x - y + 10=
Answer:
x-y+16
Step-by-step explanation:
add the like terms, 6 and 10 which is 16. since the variables are not like terms, thats your final answer. hope it helped :)
what number is one hundred more than 890
Answer:
990
Do 100+890
its simple math
The number that is one hundred more than 890 would be,
⇒ 990
The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that,
To find a number that is one hundred more than 890.
Let us assume that,
The number that is one hundred more than 890 = x
Hence, it can be written as,
⇒ x = 890 + 100
Solve for x,
⇒ x = 990
Therefore, the number that is one hundred more than 890 = 990
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Which expression is equivalent?
Hey guys I need help what is 361.5 divided by 12
Answer:
180.75
Step-by-step explanation:
