Find where the two curves intersect:
y = 6x - 2x ²
y = x ²
6x - 2x ² = x ² → 3x ² - 6x = 3x (x - 2) = 0 → x = 0 and x = 2
Now, for a shell of radius x units away from the axis of revolution, the height of the shell would be the vertical distance between the upper curve and the lower curve. For 0 ≤ x ≤ 2, we have 6x - x ² ≥ x ², so the height of any given shell is (6x - x ²) - x ² = 6x - 2x ².
Then volume of the solid is
[tex]\displaystyle 2\pi \int_0^2 x(6x-2x^2)\,\mathrm dx = 2\pi \left(2x^3-\frac{x^4}2\right)\bigg|_0^2 = \boxed{16\pi}[/tex]
Solve for the letter t
which equation has (2, -1) as a solution
a. y=2x-1
b. y=x+3
c. y=x-3
d. y=-2x+1
Answer:
y=x-3
-1＝2-3＝-1
............
Use the quadratic formula to find both solutions to the quadratic equation
given below.
4X2 +5x + 1 = 0
Answer:
A and B are correct
Step-by-step explanation:
Solve for x
5 - 9x = -76
Answer:
9
Step-by-step explanation:
Subtract 5 from each side and get -9x = -81.
Divide by -9.
The answer is 9.
Answer:
x=9
Step-by-step explanation:
5-9x=-76
-9x=-5-76
-9x=81 divide both sides be -9
x=9
HELP PLEASE ASAP. NO LINKS OR I WILL REPORT
Answer:
For Question 19 the answer is A (the first answer)
For question 34 the answer is C (the third one) but for that I am not 100% you can search that one up
For question 20 the answer is A (the first answer)
WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!
Answer: 2.5
Step-by-step explanation: r= sqrt(V/pi*h)
sqrt(171/(8.7)(3.14)
Step-by-step explanation:
solution given.:
radius=[r] let
height[h]=8.7in
volume[V] of cylinder=171in³
π=3.14
we have
volume[V] of cylinder=πr²h
171=πr×8.7
r²=[tex] \frac{171}{3.14×8.7}[/tex]
r=[tex] \sqrt{6.26} [/tex]
r=2.5in
so radius is 2.5in
WILL GIVE BRAINLIEST ONLY IF ANSWER IS CORRECT!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!
Answer:
r=14 in
Step-by-step explanation:
The volume of a cylinder is given by:
[tex]v = \pi \times {r}^{2} \times h[/tex]
So,
[tex]r = \sqrt{ \frac{v}{\pi \times h} } = \sqrt{ \frac{196 \times \pi}{\pi \times 1} } = \sqrt{196} = 14[/tex]
Step-by-step explanation:
solution given.:
radius[r] =r
height[h]=1in
volume[V] of cylinder=196πin³
we have
volume[V] of cylinder=πr²h
196π=πr×1
r²=[tex] \frac{196π}{π}[/tex]
r=[tex] \sqrt{196} [/tex]
r=14in
so radius is 14in
What is the volume of a hemisphere with a radius of 3.6 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
97.7
Step-by-step explanation:
Scenario: The Cannon Instructions: View the video found on page 1 of this Journal activity. Using the information provided in the video, answer the questions below. Show your work for all calculations. The Cannon: Ernest's friend Nik is about to be shot out of a cannon. The path he will travel follows a parabolic arch that can be described by this polynomial. f(x) = –0.05(x2 – 26x – 120) He is supposed to land on a safety net 30 feet away. Does the function give you enough information to tell you where he will land? If so, how far from the cannon will he land?
Answer:
Part A
Yes
Part B
He will land at a point 30 meters from Cannon
Step-by-step explanation:
Part A
The given function that represent the path of the Cannon, which is the path of a parabolic arc, is presented as follows;
f(x) = -0.05·(x² - 26·x - 120)
We note that the height, 'h', of the path of a parabola at a horizontal distance, 'x' from the origin is equal to f(x)
Therefore, given that at the ground level, at the start and end of the flight, the f(x) = 0, we can write;
-0.05·(x² - 26·x - 120) = 0
∴ x² - 26·x - 120 = 0
x = (26 ± √((-26)² - 4 × 1 × (-120)))/(2 × 1)
Which gives;
x = 30 or x = -4
Therefore, he lands at a point 30 meters from the starting point
Therefore, the function gives enough information to tell where he will land
Part B
He lands at the point, x = 30 from the point the cannon was fired.
Assume a student shows up for EGR 280 completely unprepared and the instructor gives a pop quiz. Assume there are 6 questions, every single question is multiple choice question. Assume that each question has five options (a, b, c, d, and e), the student selects the answer randomly. Also assume that whether one question is answered correctly is independent of whether or not another question is answered correctly.
Required:
For a single question, what it the probability (p) that the student answers correctly?
Answer:
P=20%
Step-by-step explanation:
Let's suppose that each question in the test has one and only one correct answer. This means we have 1 desired outcome out of the total 5 desired outcomes. Therefore:
Probability=#of desired outcomes / #of possible outcomes
or
[tex]P=\frac{1 correct}{5 opctions}[/tex]
[tex]P=\frac{1}{5}[/tex]
P=0.20
P=20%
Mr. Wallace took 600 mg of medicine. This was
75% of the full dose. What is the full dose?
Answer:800
Step-by-step explanation:
75% = 0.75
600/0.75 = x/1
Cross multiply:
0.75x = 600
Divide 0.75 to both sides:
x = 800
So the full does is 800mg.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
Answer:
See below for answers and explanations
Step-by-step explanation:
1) y=9, therefore x=2y=2(9)=18
2) y=32/2=16, therefore x=y√3=16√3
PLEASE HELP PLEASE
A girls' choir is choosing a uniform for their concert. They can pick red, green or
purple sweaters, and they can pick tan, white or black skirts. The shoes they need
come in gold and black. Assuming all combinations are acceptable, how many
different combinations can the choir pick?
Answer:
18
Step-by-step explanation:
=============================================================
Explanation:
There are 3 colors to pick for the sweaters (red, green, purple).There are 3 colors for the skirts (tan, white, black)There are 2 colors for the shoes (gold, black)Multiply out those values mentioned to get the final answer: 3*3*2 = 9*2 = 18.
There are 18 different outfit combos.
---------------
Further explanation (optional section):
Let's say we only worried about the sweaters and shoes, and for now there's only one color for the skirt. We have 3 colors for the sweaters and 2 for the shoes. Imagine a table with 3 rows and 2 columns. Each row is a different color for the sweater and each column is a different color for the shoe. There are 3*2 = 6 cells inside the table. Each cell is a different outfit.
For instance, we could have R = red sweater and G = gold shoe. Then that means RG = red sweater + gold shoe outfit. So we'd have RG as one of the cells of this 6 cell table.
Now imagine that we laid out a table that is 6 by 3. The 6 is from the 6 outfits calculated earlier, and the 3 is now accounting for the colors of the skirts. We'd then have 6*3 = 18 combos total. Again, each cell inside the table represents a different outfit combo.
SOLVE
270.6 is 16 1/2% OF WHAT NUMBER?
WILL GIVE BRAINLIST
X
X
X
X
X
X
X
Answer:
165 po ang answer promise po
Answer:1640
To find the % then we have too times the 16 /12% by something right?
After some guessing their is my answer
Hope this helps :)
If you are reading this hope you have a wonderful day!
Given h(x) = -X – 2, solve for x when h(x) = 3.
Answer:
x = -5
Step-by-step explanation:
One is given a function and the value of the function at a certain output. One must set the function to the given output, and solve to find the input,
h(x) = - x - 2
h(x) = 3
Set the output equal to the input,
h(x) = - x - 2 = 3
Inverse operations,
- x - 2 = 3
+2 +2
- x = 5
*-1 *-1
x = -5
Answer the question Please, I am not sure of what it is.
Answer:
total area = 14.6 units²
Step-by-step explanation:
rectangle = 3 x 5 = 15
cos 30 = height/3
triangle height = 2.6
triangle = 1/2(3)(2.6) = 3.9
semi circle = (3.14)(1.5²)(.5) = 3.53
total area = 15 + 3.53 - 3.9 = 14.63
which best describes a graph of a two-year-old child's height over the course of a year?
Answer:
Step-by-step explanation:
First
Does anyone know this question,I need help
Identify the correct statement for the given figure.
Question 14 options:
A)
(5x)° + (2x + 7)° = 90°
B)
90° + (2x + 7)° = (5x)°
C)
(5x)° + (2x + 7)° = 180°
D)
(5x)° = (2x + 7)°
Answer:
A. 5x° + (2x + 7)° = 90°
Step-by-step explanation:
Complementary angles add up to give us 90°.
From the given diagram, we have a part of the angles on a straight line as a right angle. Which means it is 90°. Therefore, the other two angles, 5x° and (2x + 7)° will add up to give us 90°. Thus, 5x° and (2x + 7)° are complementary angles.
Therefore:
5x° + (2x + 7)° = 90°
There is a group of 8 people ordering pizza. If each person
gets 3 slices and each pizza has 5 slices, how many pizzas
should they order?
Answer:
5 pizzas
Step-by-step explanation:
8people times 3slices = 24 slices needed
24slices/ 5 pizzas per box= 4.8 you cant buy 4.8 boxes of pizza, so you round it to 5 boxes.
How’s many solutions does the graph have and what are they?
Answer:
The graph has 2 solutions
Step-by-step explanation:
they are -5 & 3
helppppppppppppppppppppppppppppp
Pazonian packing up a little
Answer:
a little strap
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
A pair of sneakers cost $125. The sales tax rate is 7%, what is the
total cost
Answer:
133.75
Step-by-step explanation:
multiplying and simplify radicals!
if u get it right I’ll give brainliest (show math pls!!!)
I would rlly appreciate it if y’all help me! :)
Answer:
≈ 107.33...
Step-by-step explanation:
2 [tex]\sqrt{12}[/tex] x 4[tex]\sqrt{15}[/tex] = 8 [tex]\sqrt{12 *15}[/tex] ≈ 8 x 13.41.. ≈ 107.33...
A All angles are acute and measure 60°. B One angle is a right angle that measures 90°. C One angle is an obtuse angle that measures more than 90°. D The sum of the three angles equals more than a straight angle. YOU WILL EARN 20 POINTS IT U ANSWER
Answer:
240 degrees
Step-by-step explanation:
pls i will give 50 points
Answer:
y = |x - 1| - 1Step-by-step explanation:
This is a translation of the absolute value function:
y = |x| is translated down 1 unit and right by 1 unit:The function is:
y = |x - 1| - 1A student solved for the radius of a circle with a circumference of 120 In which step did the student make an error?
Step 24. ZT
Step 1: C = 21
Step 2: 1271 = 2
Step 3: 12т - 2те ZT
Step 4: 6 = Tr Step 5: /
Step 6: Solving for r, the length of the radius Solving for r, the length of the radius should be cm. Tr TE 4 is crm.
In which step did the student make an error??
Step:___
Solving for r, the length of the radius should be___cm.
Answer:
r = 6 cm
Step-by-step explanation:
C = 2πr
12π = 2πr
12π/2π = 2πr/2π
(The mistake is in the next step when calculating the division.
12π/2π = 6, same way 2πr/2π = r and NOT πr)
6 = r
r = 6 cm
Answer:
In which step did the student make an error?
Step
✔ 4
.
Solving for r, the length of the radius should be
✔ 6
cm.
Step-by-step explanation:
The more experiments that are performed, the closer the experimental probability gets to the theoretical probability: true or false?
Answer:
True.
Explanation:
The more experiments that are performed, the more data can be collected.
A number cube is rolled 35 times and the results are recorded in the table.A goodness-of-fit chi-square test is to be used to test the null hypothesis that the cube is fair. At a significance level of α = 0.05, what is the value of chi-square and the appropriate conclusion?
Answer:
Where's the table we can go off of??
Step-by-step explanation:
Answer:
2 = 11.2; fail to reject the null hypothesis
Step-by-step explanation:
This is the correct answer for the question I had on the segment exam. Please double-check because the conditions in your question because they might be slightly different and you may need a slightly different answer. Be careful about copying answers off of the internet and good luck!
I used the X^2GOT-Test, so you could check your answers too. For the expected occurrence 35/7 = 5.