Answer:
number 3 is the answer
Step-by-step explanation:
hope u understand
Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. Y = 27x3, y = 0, x = 1; about x = 2.
The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.
The volume of the solid of revolution can be determined by the following integral equation:
[tex]V = 2\pi\int\limits^a_b {|f(x)-g(x)|} \, dx[/tex] (1)
Where:
[tex]g(x)[/tex] - Lower bound function[tex]f(x)[/tex] - Upper bound function[tex]a[/tex] - Upper bound[tex]b[/tex] - Lower boundIf we know that [tex]b = 2[/tex], [tex]b = 1[/tex], [tex]g(x) = 0[/tex] and [tex]f(x) = 27\cdot x^{3}[/tex], then the volume of the solid of revolution is:
[tex]V = 2\pi\int\limits^2_1 {x\cdot |27\cdot x^{3}-0|} \, dx[/tex]
[tex]V = 54\pi \int\limits^2_1 {x^{4}} \, dx[/tex]
[tex]V = 54\pi \left(\frac{2^{5}}{5}-\frac{1^{5}}{5} \right)[/tex]
[tex]V = \frac{1674\pi}{5}[/tex]
The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.
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5p + 3 = 15
please make this into a word problem
Answer:
p equals two and four tenths
Step-by-step explanation:
First let's write our equation
five p plus three equals fifteen
Subtract three from both sidesfive p equals twelve
divide both sides by 5
p equals two and four tenths
_______________________________
Word Problem
You bought 5 pears that were worth x dollars, you have an extra 3 dollars, the total of the money you spent and you have is 15 dollars. How much does one pear cost?
-4x-3y=5 3x-2y=-8 Solve by substitution
Answer:
look at the picture ..........
Answer:
y=1
x=-2
Step-by-step explanation:
Lets use substitution for the first equation:
-4x=5+3y
Divide by -4 on both sides : x=-5/4-3/4y
Now we substitute x into the second equation:
3(-5/4-3/4y)-2y=-8
Simplify : -15/4-9/4y-2y=-8
Combine Like Terms : -15/4-17/4y=-8
Isolate the Variable : -17/4y=-17/4
y=1
Now we get that x is -5/4-3/4, which is -8/4=-2
x=-2
How do you solve Y+4= -3 (x-2)
Answer:
This problem is in Point Slope form:
To turn it to Slope-Intercept form, you must follow these simple steps below⤵⤵⤵:
Distribute -3 among everything inside the parenthesis to get y + 4 = -3x + 6.Subtract 4 from 6 to get y = -3x + 2.To turn it to Standard Form, you must follow these simple steps below⤵⤵⤵:
Use the Slope-Intercept form of this equation, in order to convert it.Add 3x on both sides of the equal sign, to get 3x + y = 2.Hope this helps you :)
How to find the critical points of a function.
1.
Identify the minimum value of the function y = 3x^2 − 12x + 10.
A. −2
B. 10
C. 46
D. 2
Answer:
-2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The minimum value is the y- coordinate of the vertex
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = 3x² - 12x + 10 ← is in standard form
with a = 3 and b = - 12 , then
x = - [tex]\frac{-12}{6}[/tex] = 2
Substitute x = 2 into the function for corresponding y- coordinate
y = 3(2)² - 12(2) + 10 = 3(4) - 24 + 10 = 12 - 24 + 10 = - 2
Then minimum value of the function is - 2
2. Miranda earns $12 per hour at her job. If she saves 60% of her
earnings for the computer, she will be able to buy the computer
after working
hours at her job. Her total amount is $964.80
Answer: Her total amount is $964.80
1928
Step-by-step explanation:
964+964 once s
simplify the expression: -4x + 8 + 7x - 10
Help PLSSS.
Someone please help me. Thank you!
Answer:
y = -1/2x
Step-by-step explanation:
Okay, so you probably heard of the slope-intercept form, y = mx + b. We have to use that formula to create a line that goes through (2,1), because thats the bisector.
Let's have our point start at the origin, (0,0). This you make our equation of y=mx+b into y = mx + 0. Since it's 0, let's just drop it out of our equation.
So now for slope. Rise/Run is what we're going to use to create our slope. Since we started at the origin, our slope is going to be negative. We can go down one over two from the origin to get to points (2,1) so why can't that be our slope? We're rising -1, and running 2, making our slope -1/2. In the equation, it would be y= -1/2x + 0, which can be simplified into y = -1/2x
It's a lot of writing and explaining, so I hope this helps! Try asking your teacher just to make sure it's correct.
Write equation for the graph
Answer:
the line goes through 1 from x axis and in the same time the line continue his trip and goes through 4 from y axis
so now we have rule to use to find the equation
y/4+x/1=1
y/4=1-x
y=4-4x
and this is the equation
Find the measure of the exterior angle..
6x+(-12x/2)+(-24x/2)
Answer:
-12x
Step-by-step explanation:
6x+(-12x/2)+(-24x/2)
=6x+(-6x)+(-12x)
=6x-6x-12x
=-12x
Create and solve a problem involving the number 7.52 million that would require you to divide.
Answer:
7.52 million divided by 1
Step-by-step explanation:
you are making a blueprint of your bedroom and you plan to use a scale factor of 1/8. The actual width of your room is 14 fret and the actual length of your room is 16 feet. Determine the length and width of your room in the blueprint.
Answer:
1.75 feet in the blueprints for the width
2 feet in the blueprints for the length
Step-by-step explanation:
Like and give a 5-star rating
Please brainlest
What does the degree of the polynomial tell you.
A degree in a polynomial function is the greatest exponent of that equation, which determines the most number of solutions that a function could have and the most number of times a function will cross the x-axis when graphed.
9.) During the soccer season, Finn scored goals on 8% of the shots he
took. If he scored 40 goals, how many shots did he take?
1 point
500 shots
50 shots
320 shots
32 shots
Answer:
500 shots
Step-by-step explanation:
the question is 8% of what number is 40?
we can use this proportion: is/of = %/100
let 'g' = number of goals
40/g = 8/100
cross-multiply to get:
8x = 4000
x = 500
What are the integer solutions to the inequality below?
[tex]10 \leq 2x \leq x+7[/tex]
Here's ur perfect answer
The scale factor from A DEF to A ABC is
6
5
ООО
4.5
Answer:
Between the edges of the first two triangles there is a ratio. To find this ratio, you need to ratio one edge of a small triangle to one edge of a large triangle. So 5/30=6/36=8/48=1/5. The ratio we want to find is 1/5 or 5.
if marked price = 1,540 during the off season a discount was given and it was sold for 1,463. find the discount and the discount percent
Answer:
The discount is $77, and the discount percent is 5%
Step-by-step explanation:
Discount: $1,540 - $1,463 = $77
Discount percent: $1,463 / $1,540 = 0.95, 1.00 - 0.95 = 0.05, 0.05 = 5%
Solve by substitution.
x-2y=2
2x-5y=3
I give Brainliest
Please explain step by step.
Can I have help please
Step-by-step explanation:
the gradient describes the slope or steepness of the line joining two points.
it is expressed as the ratio of
y coordinate change / x coordinate change
so, we need to find 2 good points (typical with integer coordinates) per line to see how y and x changes between them.
for A I see e.g. (1, 1) and (2, 4)
for B I see e.g. (0, 5) and (1, 1)
so, for A
x changes by +1 (from 1 to 2)
y changes by +3 (from 1 to 4)
the slope or gradient of A : 3/1 = 3
and for B
x changes by +1 (from 0 to 1)
y changes by -4 (from 5 to 1)
the slope or gradient of B : -4/1 = -4
Solve for X
6-6x=6x-8x+14
Which of the following has fixed length?
a.) A point b.) A line segment c.) A ray d.) A line.
Answer:
b)A line segment
because a line segment has fixed two points.
12
For what value of n does 36
G
- 2167
Answer:
n=-3/2
So B on edge
[tex]\\ \sf\longmapsto (\dfrac{1}{36})^n=216[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{36^n}=6^3[/tex]
[tex]\\ \sf\longmapsto 36^{-n}=6^3[/tex]
[tex]\\ \sf\longmapsto 6^{-2n}=6^3[/tex]
[tex]\\ \sf\longmapsto -2n=3[/tex]
[tex]\\ \sf\longmapsto n=\dfrac{3}{2}[/tex]
A farmer owns 70 acres of land. Of the 70 acres, only 65% can be farmed. How many acres are available for farming? acres are available for farming. How many are not available for farming? acres are not available for farming.
45.5 acres of land can be farmed and 24.5 cannot be farmed.
Linear or nonlinear:
why?
Answer:
Nonlinear.
Step-by-step explanation:
Linear equations do not contain exponents. Since the equation given has an exponent, it would not form a straight line on a graph, and therefore, it is nonlinear.
Hope this helps.
A machine depreciates by 1/4 of its value each year. If it cost $50,000 new,
what is its value after 8 years?
Step-by-step explanation:
The price of machine=$50000
depreciates rate (R )=1/4×100%
=25%
please help, i don’t know how to work this out!!
Answer:
40 degrees
Step-by-step explanation:
so, a triangle is 180 degrees. you know that one angle is 60 degrees.
180= 60+ 2x + x
this is the equation of the triangle
120=3x
simplify
40=x
x= 40 degrees
hope this helps :)
The picture shows the $481 four friends worked together to earn.
They want to split this money equally.
Drag the money below to the box to show how much each friend will get.
Answer:
for what you have you need to add one more $10 bill.
or make it total $120.25
good luck!!
The total amount each friend will get after split money equally is $120.25.
Given that;
The picture shows the $481 four friends worked together to earn.
And, They want to split this money equally.
Here, the total amount earn = $481
And, the number of friends = 4
Hence, the amount each friend will get,
$481/4 = $120.25
Therefore, the value of the amount is $120.25.
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write a math story about this problem : -4n = -24 how to find n!
Answer:
n=6
Step-by-step explanation:
-4n=-24
4n=24
n=24÷4
=6