The region in the x-y plane is the set of points
[tex]R=\{(x,y)\mid0\le x\le 1,x^2\le y\le\sqrt x\}[/tex]
The height of the solid falls between the x-y plane (for which z = 0) and the equation of the plane, z = 3x + 2y.
So the volume is
[tex]\displaystyle\int_0^1\int_{x^2}^{\sqrt x}\int_0^{3x+2y}\mathrm dz\,\mathrm dy\,\mathrm dx[/tex]
[tex]=\displaystyle\int_0^1\int_{x^2}^{\sqrt x}(3x+2y)\mathrm dy\,\mathrm dx[/tex]
[tex]=\displaystyle\int_0^1(3x^{3/2}+x-3x^3-x^4)\,\mathrm dx[/tex]
[tex]=\displaystyle\frac65+\frac12-\frac34-\frac15=\boxed{\dfrac34}[/tex]
1) 6x – 5y – 3z = 15
2x – 3y – 4z = 2
y = 4z - 4
Step-by-step explanation:
6x - 5y -3z=15 ...................(1)
2x - 3y - 4z =2 ...................(2)
Which square root is between 4 and 5? 10 14 24 132
Answer:
sqrt(24)
Step-by-step explanation:
The square root of 24 is between 4 and 5 since we know that 4 square is 16 and 5 squared is 25. 16 < 24 < 25.
Cheers.
if 2n-1/4=0 what is the value of n
Answer:
n = 1/8
Step-by-step explanation:
2n-1/4=0
Add 1/4 to each side
2n-1/4+1/4=1/4
2n = 1/4
Divide each side by 2
2n/2 = 1/4 * 1/2
n = 1/8
solve: 5(2+2x)-3x>17
Answer:
10+10x-3x>17
10+7x>17
7x>17-10
7x>7
x>1
Hope it helps:-)
Solve v 5x + 11 = 9
O x = -1.6
O x = 4
O x = 14
x = 18.4
Answer:
hope this helped you
please mark as the brainliest (ㆁωㆁ)
"Since the fall of 2008, millions of Americans have lost jobs due to the economic meltdown. A recent study shows that unemployment has not impacted males and females in the same way (Newsweek,April 20, 2009). The unemployment rate is 8.8% for eligible men and only 7.0% for eligible women. Suppose 52% of the eligible workforce in the U.S. consists of men. What is the probability that a randomly selected worker is both female and employed?"
Answer: 0.42%.
Step-by-step explanation:
Probability of (M(Eligible Men)) = 0.52
Probability of (W(Eligible Women)) = 1 - 0.52
= 0.48
Probability of (UM(Unemployed Men)) = 0.088
Probability of (UW(Unemployed Women)) = 0.070.
therefore;
Probability that the worker is a man = [P(UM)*P(M)]/[P(UM)*P(M) + P(UW)*P(W)] = 0.576613
0.088 * 0.52 )/ 0.088 * 0.52 + 0.070 * 0.48
= 0.04576 / 0.07936
= 0.5766
probability that the randomly selected worker is both female and unemployed is
= 1 – 0.58%
= 0.42%
A sample of ore is found to be 0.0297% diamond and 0.025% copper. What is the percentage of matter in the ore that is neither diamond nor copper? Round your answer to the nearest ten thousandth.
Answer:
99.9453% of matter in the ore is neither diamond or copper
Step-by-step explanation:
First add 0.0297 and 0.025
0.0297+0.025=0.0547
Now subtract 0.0547 from 100
100-0.0547=99.9453
99.9453% of matter in the ore is neither diamond or copper
Hope this helps! Plz award Brainliest : )
PLZ HELP FAST I'm pretty sure that the stuff i put in the boxes is correct
Answer:
3(x + 4)- X= 12
Step-by-step explanation:
21 out of 70 of the athletes wore green shorts. Which fraction is equivalent to this?
Answer:
Step-by-step explanation: 21/70
Answer: the answer is
42/140
or
3/10
Simplify.
1/2 (x – 6) + 3/2 (x + 2)
2x + 6
2x
2x-4
2x + 3
Six times the sum of a number and seven is 30. Find the number.
Answer:
x = -2
Step-by-step explanation:
6(x+7)=30
6x+42=30
6x=-12
x=-2
Step-by-step explanation:
Hey there!!
According to the question,
One number is 7.
Let another no. be x.
So, the condition is 6(x+7)= 30
Now,
6(x+7) = 30
6x +42 = 30
6x = 30-42
[tex]x = \frac{ - 12}{6} [/tex]
Therefore the no. is -2.
Check,
6(-2+7)= -12 + 42 = 30 { they gets subtracted but sign remains (+) only }.
Hope it helps....
What is -4,3 rotated 90° clockwise?
Answer:
4,-3
Step-by-step explanation:
div g gbc sti ri us fila ru has slap
Lauren would like to find the midpoint of a line segment that has endpoints at (–0.5, 3) and (4, 7.5). Which statements are true? Check all that apply. Lauren could solve to find the x-coordinate. Lauren could solve to find the y-coordinate. Lauren could solve (4 + 0.5) – 0.5 to find the x-coordinate. Lauren could solve (7.5 + 3) + 3 to find the y-coordinate. Finding the midpoint is equivalent to partitioning a line segment in a 1:1 ratio.
Answer:2 and 3 and 5
Step-by-step explanation:
Answer:
answers 2,3,5 are correct
Step-by-step explanation:
please help asap
Points are identified in pictures by
The product of Goran's score and 3 is 39.
Use the variable g to represent Goran's score
Chase and Matty started with the same amount of money and Matty has a certain amount of money left over. Move the red point so the green rectangle has the same length as three rubber duckies above it. This represents the amount of money that Matty has left over after buying two rubber duckies. How much does Matty have left over?
Answer:
Step-by-step explanation:
Krulik, Stephen; Rudnick, Jesse A.
Problem Solving: A Handbook for Elementary School
Teachers.
ISBN-0-205-11132-7
88
249p.; Drawings may not reproduce well.
Allyn & Bacon/Logwood Division, 160 Gould Street,
Needham Heights, MA 02194-2310 ($35.95, 20% off 10 or
more).
Guides - Classroom Use - Guides (For Teachers) (052)
MF01 Plus Postage. PC Not Available from EDRS.
*Cognitive Development; Curriculum Development;
Decision Making; Elementary Education; *Elementary
School Mathematics; Expert Systems; *Heuristics;
Instructional Materials; Learning Activities;
Learning Strategies; Logical Thinking; Mathematical
Applications; Mathematics Materials; Mathematics
Skills; *Problem Sets; *Problem Solving
This book combines suggestions for the teaching of
problem solving with activities and carefully discussed non-routine
problems which students should find interesting as they gain valuable
experience in problem solving. The over 300 activities and problems
have been gleaned from a variety of sources and have been classroom
tested by practicing teachers. Topics included are an explanation of
problem solving and heuristics, the pedagogy of problem solving,
strategy games, and non-routine problems. An extensive rumber of
problems and strategy game boards are given. A 50-item bibliography
of problem solving resources is included. (Author/MVL)
Explain what SOHCAHTOA means.
Answer:
It's a mnemonic device to help you remember the three basic trig ratios used to solve for missing sides and angles in a right triangle. It's defined as: SOH: Sin(θ) = Opposite / Hypotenuse. CAH: Cos(θ) = Adjacent / Hypotenuse.
Answer:
SOH CAH TOA is a mathmatical acronym used in triginometry. It helps find missing angels and sides of a triangle.
Step-by-step explanation:
Sine = Opposite side over Hypotenuse ---> SOH
Cosine = Adjacent side over Hypotenuse ---> CAH
Tangent = Opposite side over Adjactent ---> TOA
You use SOHCAHTOA to find the angle. You use the inverses to find the measures.
In a shopping mall there are 30 stands selling clothes, which accounts for 1/3 of the total stands. How many stands are there?
Answer:
90 stands
Step-by-step explanation:
1/3 x 3 = 1.
30 x 3 = 90.
The answer is 90. I hope this helps!
The equation |x|=a has no solution if a is a negative number. (1 point) A. The statement is false. The equation |x|=a has one solution if a is a positive number. B. The statement is false. The equation |x|=a has one solution if a is a negative number. C. The statement is false. The equation |x|=a has no solution if a is a positive number. D. The statement is true.
Answer:
The statement is false. The equation |x|=a has one solution if a is a negative number.Step-by-step explanation:
Given the expression |x|=a, we must understand that |x| can return both positive and negative value of x i.e
x=a and -x = a
from the second equation,
-x = a
multiply both sides by minus
-(-x) = a
x = -a
Hence If "a" is negative number according to the question then the equation has one solution which renders the fact that the equation has no solution if a is negative false.
How would you answer this question?
Answer:
Positive; P increases
Step-by-step explanation:
When gasoline prices go up, the demand for push lawn mowers increases, so the sign of the cross-elasticity is positive.
If gasoline prices go up, and demand for push lawn mowers goes up, then the price for push lawn mowers will also go up.
PLSSS HELP , ILL MARK BRAINLIST !!! HAVE TO GET IT RIGHT
Answer
It is 6 .
Explanation:
Just plug − 1 in for x in the equation and it gives you the answer
f ( − 1 ) = − 4 × ( − 1 ) + 2 = 4 + 2 = 6
Is 2:3 equal to 3:4 Please help will give brainliest!!!
Answer:
No
Explanation:
The unit rates are not the same.
One dozen is 12 items. A bakery made 1,200 cupcakes in one day. Write an equation to show how to find how many dozen cupcakes the bakery
made.
2. The students in PE have spent 17/20 of their class period playing basketball.What decimal is equivalent to 17/20?
Answer:
.85
Step-by-step explanation:
just divide 17 by 20
Answer:
0.85 or .85
Step-by-step explanation:
Hope this helps.!!111111
YW
Are the following figures similar?
Answer:
im pretty sure its c-no the corresponding sides are not proportional
Step-by-step explanation:
PLEASE HELP MEEEEEEEEE FAST!! ILL GIVE BRAINLIEST!!:((((((((
Answer:
I believe it's D. (3,4)
Step-by-step explanation:
A equals 3, and after plugging that in and simplifying, you're left with B=4.
Hope this helps!
Answer:
b = 4
Step-by-step explanation:
if line L bisects AC, AB= 6x+7 and BC= 4x+5, find BC
Answer:
BC=1
Step-by-step explanation:
the area of the base of a cone is 100sq. cm and it's height is 6cm. what is its volume
V=⅓πr²h
V=⅓*π*(100)²*6
V=188495.56
3
V=62831.85cm³
Answer:
600 cm2
Step-by-step explanation:
Area of base of cone (A) = 100 cm2
h = 6 cm
Now,
V = A × h
= 100 × 6 = 600 cm2
PLEASE HELP QUICKLY ILL GIVE BRAINLIEST THANKS AND 5 STARS.
Answer:
C
Plug in all numbers to table and find the correct answers. Use coordinating x and y numbers
The graphs below have the same shape. What is the equation of the red
graph?
g(x) = ?
fix) = -X?
