How do I find the volume of a solid by rotating the region bounded by the given curves about a specified line?
Answers
Step-by-step explanation:
if a region is bounded by two curves y=f(x) and y=g(x) on an internal a,b where 0<g(x)< f(x) then the volume of the solid obtained by the rotating region about the Y-axis is expressed by the integral of the difference of two functions: v= 2πbfax(x)jdx
Related Questions
Evaluate the expression 6h ÷ 2 when h = 3
Answers
Answer:
9
Step-by-step explanation:
18 / 2 = 9
Answer:
9
Step-by-step explanation:
6h/2
Since H is = to 3, u plug in 3 to H and 6 times H would be 3. 6*3 is 18 so then you wuold divide 18 by 2 which would equal 9
Round 117.22666 to the nearest tenths
Answers
Answer:
117.2
Step-by-step explanation:
Rounding a number to the nearest tenth:
A number rounded to the nearest tenth will have one decimal place.
To do this, we look at the second decimal digit.
If it is less than 5, the first decimal digit is kept.
Otherwise, one is added to the first decimal digit.
In this question:
117.22666
The second decimal digit is 2, which means that we keep the first decimal digit which is also 2.
So, the number rounded to the nearest tenth is 117.2.
At Mountain Park Middle School, there are 250 seventh-grade students. Currently, 32% of those students are in
advanced math
a. Write an equation to represent the number of seventh-grade students who are not in advanced math. Leta
represent the number of seventh-grade students who are not in advanced math.
Answers
Equation to represent the number of seventh-grade students who are not in advanced math is A =250 - (250 x 0.32)
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that Mountain Park Middle School, there are 250 seventh-grade students.
Currently, 32% of those students are in advanced math, then;
Therefore, the number of seventh-grade students who are not in advanced math.
100%-32% = 68%
68% of 250
Equation would be;
A =250 - (250 x 0.32)
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How many solutions can be found for the system of linear equations represented on the graph?
A)no solution
B) one solution
C)two solutions
D) infinitely many solutions
Answers
Explanation: because the lines overlap each other every single point is a solution, therefore infinitely many solutions
Easy brainliest for correct answer 100%
Answers
Answer:
I need 1 Brainliest before I can become Virtuoso
Step-by-step explanation:
A small jar of peanut butter sells for 0.08 per ounce. A large jar of peanut butter sells for $1.20 per pound. Which is the better buy and by how much (in cents per pound)?
Answers
Answer:
a small jar of penuts buteer sells for 0.08 per ounce
A large jar of penut buttter sells for $1.20 per pound
the answer is :
hope it will help you
Answer and explain I’ll mark brainliest please help!!!!!
Answers
Answer:
230 were sold at the door
170 were sold in advance
Step-by-step explanation:
x=at door y=in advance
x+y=400
3x+2y=1030
y=-x+400
2y=-3x+1030
y=-3/2x+515
-x+400=-3/2x+515
x=230 y=170
A line that includes the point (7,0) has a slope of 1. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
[tex]y = x-7[/tex]
Step-by-step explanation:
To write the equation of the line in slope-intercept form, use the slope-intercept formula, [tex]y = mx +b[/tex]. Find real values for the [tex]m[/tex] and [tex]b[/tex] and substitute them into the formula.
1) We know that [tex]m[/tex] represents the slope, so substitute 1 in its place. However, we still need to find [tex]b[/tex], or the y-intercept. So, along with substituting that 1 in for [tex]m[/tex], substitute the x and y values for (7,0) for the x and y in the formula as well. Then, isolate [tex]b[/tex] to find its value:
[tex]y = mx + b\\0 = (1)(7)+b\\0 = 7 + b\\-7 = b[/tex]
So, [tex]b[/tex] = -7.
2) Now, just substitute the found values for [tex]m[/tex] and [tex]b[/tex] into the slope-intercept formula. Remember that the slope is [tex]m[/tex], so substitute 1 in, and [tex]b[/tex] is -7, so substitute -7 in its place as well. This gives the following equation in slope-intercept form:
[tex]y = 1x -7[/tex] or [tex]y = x-7[/tex]
А,
2. (Power Functions)
Write down the formula of the function which gives the area A of a circle of radius r.
(b) Using fomulas for circles of radius rı and rz, and areas Ai and Az, to complete this:
A₂
(c) Using each of (a)'s function and (b)'s ratio and proportion result, how would we have to
adjust the circle's radius if we want its area to triple?
(d) The ratio A/A2 in (b) involving areas is "dimensionless". Why do we say this?
Answers
What is the measure of y?
3
27
Y у
N
y = [?]
Answers
Answer:
[tex]9\sqrt{3}[/tex]
Step-by-step explanation:
The right triangle on the right is a special right triangle: a 30-60-90 triangle
30-60-90 corresponds with the angle measures on the triangle
the sides on a 30-60-90 relate to the angle opposite of it
30 ⇒x 60 ⇒ x[tex]\sqrt{3}[/tex] 90 ⇒ 2x
27 is opposite to the 60° angle
[tex]\frac{x\sqrt{3}} {\sqrt{3}} =x[/tex] [tex]\frac{27}{\sqrt{3}}[/tex] simplify [tex]\frac{27}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] [tex]\frac{27\sqrt{3} }{3}[/tex] = [tex]9\sqrt{3}[/tex]
The required value of altitude y is 9 units which is determined by the geometric theorem.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
As we know that the geometric theorem states that h = √(ab),
where h is the altitude of a right triangle, a and b are the segments formed when the altitude divides the hypotenuse of a right triangle.
We have to determine the value of altitude y
As per the given figure, a = 3, and b = 27
Substitute the values in the formula, and we get
y = √(3 × 27)
y = √81
y = 9
Therefore, the measure of y = 9.
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How do you write 60/100 and 40/100 as decimal expressions?
Answers
Answer:
60/100=0.6 , 40/100=0.4
Step-by-step explanation:
60/100=6/10
6/10=0.6
40/100=4/10
4/10=0.4
What is the value of z in the equation 10z + 15 = -5
Answers
Answer:
Z = 2
Step-by-step explanation:
10z+15=-5
subtract 15 from both sides
10z=-20
divide both sides by 10, leaving z by itself.
20 divided by ten is 2
so z =2
The figures below show the front view and top view of a rectangular prism that is packed with unit cubes. What is the volume of the prism if there are no gaps or overlaps in the unit cubes? ____ cubic unit
Answers
Answer:
60 cubic units
Step-by-step explanation:
The figure is 5 tall, so just add 5 for each square on the top view.
The volume of the rectangular prism is 60 cubic units
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the volume of the rectangular prism be represented as V
Now , the equation will be
The length of the rectangular prism = 3 units
The width of the rectangular prism = 4 units
The height of the rectangular prism = 5 units
Now , the volume is calculated by
Volume of Rectangle = Length x Width x Height
Substituting the values in the equation , we get
Volume of Rectangle V = 3 x 4 x 5
On simplifying the equation , we get
Volume of Rectangle V = 60 cubic units
Therefore , the value of V is 60 cubic units
Hence , the volume of the rectangular prism is 60 cubic units
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Racial dimorphism mesning
Answers
Answer:
Facial sexual dimorphism emerges at puberty: as the size and shape of the male and female faces increase with age, faces begin to show different secondary sexual characteristics (i.e., masculine or feminine).
identify hypotheses.Write the null and alternative hypotheses in words and then symbols foreach of the following situations.(a) A tutoring company would like to understand if most students tend to improve their grades(or not) after they use their services. They sample 200 of the students who used their servicein the past year and ask them if their grades have improved or declined from the previousyear.(b) Employers at a firm are worried about the effect of March Madness, a basketball championship held each spring in the US, on employee productivity. They estimate that on a regular businessday employees spend on average 15 minutes of company time checking personal email, makingpersonal phone calls, etc. They also collect data on how much company time employees spendon such non-business activities during March Madness. They want to determine if these dataprovide convincing evidence that employee productivity changed during March Madness.(c) Since 2008, chain restaurants in California have been required to display calorie counts ofeach menu item. Prior to menus displaying calorie counts, the average calorie intake of dinersat a restaurant was 1100 calories. After calorie counts started to be displayed on menus,a nutritionist collected data on the number of calories consumed at this restaurant from arandom sample of diners. Do these data provide convincing evidence of a difference in theaverage calorie intake of a diners at this restaurant
Answers
Answer:
H0 : μ = 0 ; H1 : μ > 0 ;
H0 : μ = 15 ; H1 : μ ≠ 15
H0 : μ = 1100 ; H1 : μ ≠ 1100
Step-by-step explanation:
Null hypothesis H0 : mean grade of student after they use service of tutoring company is the same.
H0 : μ = 0
Alternative hypothesis H1 : mean grade of student after using service of the tutoring company increases
H1 : μ > 0
2.)
Null hypothesis H0 : Average or mean company time spent checking personal is 15 minutes
H0 : μ = 15
Alternative hypothesis H1 : Average or mean company time spent checking personal mail is not equal to 15 minutes
H1 : μ ≠ 15
C.)
Null hypothesis H0 : Average calorie intake of diner at restaurant.
H0 : μ = 1100
Alternative hypothesis H1 : There is a difference in average calorie intake of diner at restaurant.
H1 : μ ≠ 1100
A group of 28 people bought tickets to a show. The tickets cost $23.98 each.
What was the total cost of the tickets?
Enter your answer in the box.
Answers
Answer:
$671.44
Step-by-step explanation:
$23.98 * 28 (people) = $671.44
Answer:
$671.44
Step-by-step explanation:
A 10-ounce container of chocolate chips can be used to make 4 desserts.
Each dessert has the same number of chocolate chips.
Which equation shows how to find the number of ounces in each dessert?
A number line going from 0 to 10 in increments of 1.
10÷4=104 ounces
4÷10=104 ounces
10÷4=410 ounce
4÷10=410 ounce
Answers
Answer:
So equation will be 4x = 10
A 10 ounce container of chocolate chips can be used to make 4 desserts.
Each desert has the same number of chocolate chips
Let number of chocolate chips in each dessert = x ounce
Therefore, chocolate chips in 4 deserts = 4x and total chocolate chips is = 10 ounce.
So equation will be 4x = 10
What value would make the equation 8x = -72 true?
Answers
Answer:x= -9
Step-by-step explanation: You would dive both sides by 8 and -72 divided by 8 is -9
Answer:-9
Step-by-step explanation:
The answer is -9 because we are solving to get x by itself. Since 8 is being multiplied by x the opposite of multiplication is division. Divide both sides by 8 to get x by itself. -72 divided by 8 is -9 because a negative divided or multiplied by a positive is a negative. To check your work you can do 8 times -9 which equals -72.
help I don't understand
Answers
A15,3), B12,1), and C-2, 4) are the coordinates of a triangle's vertices. If the triangle is reflected over the x-axis, what are
the coordinates of the image?
O A'(-5,3), B(-2,1), C(2,4)
A'(-5,3), B(-2,1). C(-2,4)
O A'(-5,-3), B(-2,-1), C(2,-4)
A(5.-3), B(2.-1). C(-2,-4)
Answers
There are 90 million pet dogs in the US. The number of dogs is 1000% the number of reptiles. How many reptiles are there?
Answers
Answer:
There are 9 000 000 = 9 million reptiles in the US.
Step-by-step explanation:
Percentages and ratio:
The double of a measure, for example, is 200% of the measure.
So 1000% of a measure is 10 times the measure.
There are 90 million pet dogs in the US. The number of dogs is 1000% the number of reptiles.
The number of pet dogs is 10 times the number of reptiles, which means that:
[tex]10x = 90 000 000[/tex]
[tex]x = \frac{90 000 000}{10}[/tex]
[tex]x = 9 000 000[/tex]
There are 9 000 000 = 9 million reptiles in the US.
Can someone please help me ?
Answers
Answer:
m and p
p and q
Step-by-step explanation:
both m and q are 71° so what plus 71 = 90; 19. therefore, m and p are complementary as well p and q.
What should substitution should've ended used to rewrite x^8-3x^4+2=0 as a quadratic equation
Answers
Step-by-step explanation:
is the answer something like x^12=-2
please help me with this
Answers
Answer:
Its like... the divising of the shape
Step-by-step explanation:
Which polynomial represents the sum below? (4x5 + 6x3 + 3) + (3x3 + x + 9)
Answers
Answer:
i think
4x^5+9x^3+x+12
Step-by-step explanation:
At a football stadium 5% of the fans in attendance were teens. If there were 400 teens at the football stadium what was the total number of people
Answers
Answer: 8000
Step-by-step explanation:
Each 5% is 400.
10%= 800
10x10= 100% therefore
800x10 =8000.
8000 total fans
Which ratio expresses the scale used to create this drawing? The post office has dimensions of 36 meters by 90 meters. A. B. C. D. if i dont do this i cat watch wandavision finale plssssssss asap
Answers
Answer:
c.
Step-by-step explanation:
i did the test
Answer:
C
Step-by-step explanation:
100 POINTS AND WILL GIVE BRAINLIEST Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
x
2
-1
10
1
2
y
Use the function rule to complete the table.
- 10x + y = 4
Answers
The sum of a number and twice a second number is 29. The second number is ten less than three times the first number. What are the two numbers?
Also, write the two equations.
Answers
Answer:
are you suar when you get the points you will get the answer
6- A restaurant charges $48 on a food bill. The tax on the food bill is 9%.
If you give the waiter a 20% tip, what is the total cost of the bill?
Answers
Answer:
$61.92
Step-by-step explanation:
Given data
Charge for food= $48
Tax= 9%
Tip=20%
Let us find the amount of the tax and the tip
Tax
=9/100*48
=0.09*48
=$4.32
Tip
=20/100*48
=0.2*48
=$9.6
Hence the total amount paid is
=48+4.32+9.6
=$61.92