Answer:
585856859686
Step-by-step explanation:
546786676
Use the method of cylidrincal shells to find the volume of the solid generated by rotating the region bounded by the curves y=6x-2x^2 and y=x^2 about the y axis.
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]
A study assessed the effects of playing a computer game (solitaire) during lunch on behavioral and physiological variables. A sample of 44 healthy adults was randomly assigned to eat lunch either with the computer game distraction or without distraction. The food served for lunch was exactly the same for everyone. All participants also had the same breakfast. Thirty minutes after lunch, participants were offered cookies as a snack and were instructed to eat as many or as few cookies as they liked. Here are the summary statistics for the findings:25
Group n X Distraction 22 52.1 45.1 No distraction 22 27.1 26.4
(a) Do the findings support the hypothesis of greater snack the two-sample t statistic and P-value, and conclude
(b) Can you conclude that distraction during meals causes intake after meals taken with a distraction? State hypotheses in terms of the two population means, obtain using a significance level of 0.05 the greater snack intake? Explain your reasoning.
Answer:
H0 : μD = μN
H0 : μD > μN
Test statistic = 2.192
Pvalue = 0.017
there is strong evidence that healthy adult eat more cookies for a snack when they are distracted with a computer game during lunch than when they are not.
Step-by-step explanation:
Given the data:
n1 = 22 ; x1 = 52.1 ; s1 = 45.1
n2 = 22 ; x2 = 27.1 ; s2 = 26.4
H0 : μD = μN
H0 : μD > μN
The test statistic :
(x1 - x2) ÷ (Sp*√(1/n1 + 1/n2))
Sp = (n1 - 1)s1² + (n2 - 1)s2²] ÷ (n1 + n2 - 2)
Sp = √[((21 * 45.1^2) + (21 * 26.4^2)) ÷ 42]
Sp = 36.952469
Test statistic :
(52.1 - 27.1) ÷ Sp * √(1/21 + 1/21))
25 ÷ (36.952469 * 0.3086066)
25 ÷ 11.4037758196954
Test statistic = 2.192
Using the Pvalue from Test statistic calculator :df = 42, Tscore = 2.192
Pvalue = 0.017
α = 0.05
Pvalue < α
Hence, there is strong evidence that healthy adult eat more cookies for a snack when they are distracted with a computer game during lunch than when they are not.
Can anyone help me out here?
Answer:
J. 19.7
Step-by-step explanation:
SOH(sine = opposite side/hypotenuse) CAH TOA
sin 80° = RS/20
=> 0.985 = RS/20
=> RS = 20 × 0.985 = 19.7
Which of the following is equivalent to (x - 2)^2
(x - 2)(x+2)
(2-2)(x - 2)
(x-2)(x+2)
Answer:
(x-2)(x-2) or (x+2)(x+2)
Step-by-step explanation:
since you are squaring it, technically the terms are negative, but the product will be positive. when you multiply two negative factors, you get a positive answer. so either both can be negative or both can be positive.
Please explain how you got the answer
Answer:
solution given:
height [h]=7ft
side 1=7ft
side2=8ft
it is trapezium
so
area of trapezium=[tex] \frac{1}{2} 7(7 + 8)[/tex]
=52.5ft²
can someone tell me what is 2+2
Answer:
i think its four..not sure though <3
Step-by-step explanation:
you take two fingers and take another set of two fingers and mash them together making 4 fingers!!!!
I honestly don't know at this point.
Using the human species as an example, explain what is meant by a variation of traits.
Answer:
Every gene has many types of gene variants, which are called alleles. These alleles help the body prouperly code different types of variants. Humans have many different traits in their body, and that is how we have so many features. Genes are stored in chromosomes.
Answer:
Human variability, or human variation, is the range of possible values for any characteristic, physical or mental, of human beings. As the human species exhibits sexual dimorphism, many traits show significant variation not just between populations but also between the sexes.
Step-by-step explanation:
Please help
Thankssssss
Answer:
-10x
Step-by-step explanation:
multiply -5 with 2x
-5×2x= -10x
Answer:
Basically, you have to multiply the term at the top with the one on the left of the corresponding box. In this case you have to multiply -5 with 2x.
[tex]-5\cdot \:2x=-10x[/tex]
Drag and drop the correct volume of the cylinder into the box to find the volume of the
figure. Use 3.14 for a.
Answer:
1491.5
Step-by-step explanation:
radius is 5in so pi * 5 squared * 19 will get you this answer
Carl is buying a couch for $650
with a sales tax rate of 7.5%. How
much will Carl spend on sales tax?
Answer:
All you have to do is find out what 7.5 percent of 650 is.
Step-by-step explanation:
The answer would be 48.75 in sales taxes
if you can answer all three. 100 points reward
Answer:
A, A, B
Step-by-step explanation:
Answer:
15) 5 b. color the objects on the chalkboard green
Step-by-step explanation:
15)
This question needs the Pythagorean Theorem, which is a^2 + b^2 = c^2
a is a leg (opposite line to hypotenuse)
b is a leg (base line)
c is the hypotenuse (the diagonal line.)
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
then you square root the number to the left to find c
square root of 25 is 5, since 5 x 5 is 25.
Solve this please. Tell me an accurate answer for this word problem?
Answer:
81.8 kg
Step-by-step explanation:
Answer:
81.8
Step-by-step explanation:
Decimals work just like basic addition.
Line it up at the decimal point.
46.2
+ 35.6
_______
81.8
is this correct help please
Answer:
I would think it would be 4 because dont you add the 2 sides?
Step-by-step explanation:
how many times can 8 go into 87
Answer:
10 times
Step-by-step explanation:
If you are talking about division, then we would do 87/8=10
Answer:
It can go 10.875 times.
Step-by-step explanation:
87/8 = 10.875
≈ 11
Hope this helps; have a great day!
PLEASE HELP!! Given the diagram below, find the dimensions of the rectangle if the area is 128 square feet. What is the X=? Width=? Length=?
Solve this equation: 8(3x - 6) = 6(4x + 8)
A- Solving this equation results in the statement -48 = 48. Because this is a false statement, the equation has a unique solution.
B- Solving this equation results in the statement 48 = 48. Because this is a true statement, the equation has infinitely many solutions.
C- Solving this equation results in the statement -48 = 48. Because this is a false statement, the equation has no solution.
D- Solving this equation results in the statement 48 = 48. Because this is a true statement, the equation has a unique solution.
Please help this is for today
Answer:
C. Solving this equation results in the statement -48 = 48. Because this is a false statement, the equation has no solution.
Step-by-step explanation:
8(3x - 6) = 6(4x + 8)
24x - 48 = 24x + 48
minus 24x from both sides and you get -48 = 48
A false statement means one side does not equal the other. False statement always means no solution
you can solve this equation for x, but looking at the answers it's not what the question is asking for
What fraction of her team's total points did Cynthia score?
Answer: 5/6
Step-by-step explanation:
because if you get velocity and multiply it by the term which is 5/12 you half the denominator.
Which rational number corresponds to point A on the number line?
9514 1404 393
Answer:
B. -2/3
Step-by-step explanation:
Each small division on this number line is 1/3 unit. Point A is 2 small divisions left of 0, so corresponds to the value -2/3.
The distance from the tetherball pole is the edge of the circle is 5 feet. What is the circumference of the circle
Answer:
The distance from the tetherball pole is the edge of the circle is 5 feet. What is the circumference of the circle
31.416
Step-by-step explanation:
The distance from the tetherball pole is the edge of the circle is 5 feet. What is the circumference of the circle
2 times Pi (3.14) times the radius (5)
Answer:
31.416
Step-by-step explanation:
2 times Pi (3.14) times the radius (5)
use the graph of the function f shown to determine f(-3)
I need help with this please graphing is too complicated. If anyone can help I would be very happ.
If a person is on a 1,800-calorie diet, then how many of their calories will come from fruit?
Veggies 35%
Fruit 15%
Carbs 25%
Protein 25%
Answer:
270
Step-by-step explanation:
Convert 15% into a decimal: .15
Then multiply 1800* 0.15
This gives you 270
Answer:
270
Step-by-step explanation:
Change the numbers 5 and 9 in the equation so that the graph intersects the x-intercepts on the graph. (1,0) (4,0) y= (x - 5)(x-9)
Answer:
y=(x-4)(x-1)
Step-by-step explanation:
We need y to be 0 and x must equal 4 and 1
The only way to make y=0
is to swap 9 and 5 for -4 and -1
The two cylinders below are similar. What is the length of the radius of the larger cylinder? A. 15 O B. 5 O . 12 D. 6
9514 1404 393
Answer:
D. 6
Step-by-step explanation:
The height of the larger cylinder is 15/5 = 3 times the height of the smaller one. Because the cylinders are similar, you know that the radius of the larger one will have the same multiplier of the radius of the smaller one.
The larger radius is 3 × 2 = 6.
Solve for r. Show your work!
12 = r - (34 - 2)
Answer:
44
Step-by-step explanation:
12 = r - (34 - 2)
12 = r - 32
12+32 = r
r=44
Answer:
yEE-
Step-by-step explanation:
IF YOU GIVE RIGHT ANSWER=BRAINLIEST GUYS PLZZZ HELP!!! LINKS WILL BE REPORTED!!!
Answer:
5 cm
Step-by-step explanation:
Volume of a cylinder = π*radius^2*height
675π = π * radius^2 * 27
radius^2 = 25
radius = 5 cm
Answer:
Step-by-step explanation:
V=pi x r^2 x h
r^2 = 675pi / (pi x 27) = 25
r = 5
On a scale drawing with a scale of 1 cm:0.75 ft, the height of a mailbox is 6.5 cm. How tall is the actual tree?
A.
5.578 ft
B.
4.578 ft
C.
5.785 ft
D.
4.875 ft
Answer: B
Step-by-step explanation:
The height of the actual tree when on a scale drawing with a scale of 1 cm:0.75 ft, the height of a mailbox is 6.5 cm, is 4.875 ft.
What is scale factor?Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
On a scale drawing with a scale of 1 cm:0.75 ft, the height of a mailbox is 6.5 cm. Here, the scale factor is,
[tex]k=\dfrac{1\rm\; cm}{0.75\rm\; ft}[/tex]
The height of a mailbox is 6.5 cm. Let suppose, the actual tree is x meter long. Thus, the ratio of this factor is,
[tex]k=\dfrac{6.5}{x}[/tex]
Comparing both factors,
[tex]\dfrac{1\rm\; cm}{0.75\rm\; ft}=\dfrac{6.5}{x}\\x=6.5\times0.75\\x=4.875[/tex]
Thus, the height of the actual tree when on a scale drawing with a scale of 1 cm:0.75 ft, the height of a mailbox is 6.5 cm, is 4.875 ft.
Learn more about the scale factor here;
https://brainly.com/question/10253650
#SPJ2
which expresssion has a value of 1
A coordnata grlds shown below. Which ordered pair describes a point that is located 4 units to the left of the origin and 2 units below the x-axis? A (4,2 B. (42) C (-4,20 D. (4, -21
Answer:
Correct answer is 4,2.
So go through it.
Whats the answer to this
Answer:
the answer is 16x2 - 16
Step-by-step explanation:
:)))
Review the table of values for function h(x).
x h(x)
8.9 3.83
8.99 –1.19
8.999 4.73
9 undefined
9.001 –4.73
9.01 1.19
9.1 –3.83
Which statement correctly explains whether Limit of h (x) as x approaches 9 exists?
The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.
The limit does exist because h(x) is defined for all given values around x = 9, even though h(x) isn’t defined at x = 9.
The limit does not exist because h(x) is not defined at x = 9, and for a limit to exist, the function must be defined at x = 9.
The limit does exist because the values of h(x) to the right of x = 9 are all opposites of the values of h(x) to the left of x = 9.
Using lateral limits, the correct option is:
The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.
------------------------------------
For a limit of a function f(x) to exist at a point a, it is needed that:
[tex]\lim_{x\rightarrow a^-} f(x) = \lim_{x\rightarrow a^+} f(x)[/tex]
That is, it has to approach a from both sides toward the same value, it cannot be oscillating.
These limits found, approaching a from close but smaller values, [tex][tex]\lim_{x\rightarrow a^-} f(x)[/tex], and from close but greater values, [tex]\lim_{x\rightarrow a^+} f(x)[/tex], are called lateral limits.
------------------------------------
From the table, looking at the value slightly less than 9, it can be said that: [tex]\lim_{x \rightarrow 9^-} f(x) = 4.73[/tex]Looking at the value slightly more than 9, it can be said that: [tex]\lim_{x \rightarrow 9^+} f(x) = -4.73[/tex]Since the lateral limits are different, the limit does not exist, and the correct option is:
The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.
A similar question is given that https://brainly.com/question/23630768
Answer:
A
Step-by-step explanation: