The volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant is 16/3 unit cute
V = ∫ dV
= ∫0→2 ∫ 0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr
Factorize to have
= ∫0→2 ∫ 0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr
= ∫0→2 ∫ 0→π/2 [ 2·r²·sin(φ) ] dφdr
= ∫0→2 [ -2·r²·cos(π/2) + 2·r²·cos(0) ] dr
= ∫0→2 [ 2·r² ] dr
= (2/3)·2³ - (2/3)·0³
Conclusively, this implies that the volume is = 16/3
In conclusion, the volume of the given solid is 16/3. cubic units
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The difference between the largest and smallest number in a given set of data
A) Mean
B) Median
C) Mode
D) Range
I'll give brainliestttt
Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = (-x - 2) (-2x - 3)
lesser x =
greater x =
PLEASE I NEED HELPPPP
Answer:
lesser x= -2
greater x= -3/2 or -1.5
Step-by-step explanation:
f(x)=(-x-2)(-2x-3)
-x-2=0
+2 +2
-x=2
-1 -1
x=-2
-2x-3=0
+3 +3
-2x=3
-2 -2
x=-3/2
The zeros of the function are x = -2 and x = -1.5.
The lesser value of x is -2, and the greater value of x is -1.5.
What are the zeros of the function?A function's zeros, also known as roots or solutions in mathematics, are the values of the independent variable (typically represented as x) for which the function evaluates to zero. In other terms, a function's zeros are the x-values that make the function equal to zero.
To find the zeros of the function f(x) = (-x - 2) (-2x - 3), we set the function equal to zero and solve for x:
(-x - 2) (-2x - 3) = 0
To find the zeros, we need to consider each factor separately and set them equal to zero:
First factor: -x - 2 = 0
Solving for x, we add 2 to both sides:
-x = 2
Multiplying both sides by -1 to isolate x:
x = -2
Second factor: -2x - 3 = 0
Solving for x, we add 3 to both sides:
-2x = 3
Dividing both sides by -2 to isolate x:
x = -3/2 or -1.5
So, the zeros of the function are x = -2 and x = -1.5.
Therefore, the lesser value of x is -2, and the greater value of x is -1.5.
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The volume of a cylinder is 40 f3. Which expression represents the volume of a cone with the same base and height as
the cylinder?
O 3(40) ft
O
1
40
O (40) At
o 3 (402)
Answer:
Option (3)
Step-by-step explanation:
Volume of the cylinder = 40 ft³
Since, volume of a cylinder is given by the expression,
V = [tex]\pi r^{2}h[/tex]
Here, r = radius of the circular base
h = Height of the cylinder
40 = [tex]\pi r^{2}h[/tex]
[tex]h=\frac{40}{\pi r^2}[/tex] ------(1)
Volume of a cone = [tex]\frac{1}{3}\pi r^{2} h[/tex]
By substituting the value of 'h' from equation (1)
Volume of the cone = [tex]\frac{1}{3}\pi r^{2}(\frac{40}{\pi r^{2} } )[/tex]
= [tex]\frac{1}{3}(40)[/tex] ft³
Therefore, Option (3) will be the correct option.
renee spent 1/8 of the day landscaping around the house. she spent 1/2 of that time pulling weeds. what fractions of the day did renee spend pulling the weed? PLS HELP IM HAVING A UNIT TEST ON MONDAY
Answer:
Renee spent 1/2 of the time she spent landscaping pulling weeds, which is 1/2 * 1/8 = 1/16 of the day. Therefore, Renee spent 1/16 of the day pulling weeds.
A dairy farmer milks his two cows every day. He determined the chance that he gets anywhere between 12 and 14 gallons of milk in one day is around 32%. Identify the method of probability the farmer used to reach this conclusion.
Answer:
Relative frequency
Step-by-step explanation:
Re
Can someone please help me!
9514 1404 393
Answer:
$970
Step-by-step explanation:
If we assume that the $1295 selling price of the first color television was paid to Camarena, and that he had no costs other than the ones described, then his profit was ...
$1295 -25 -300 = $970
Select all the correct answers. What are the solutions of this equation? x2-x-56=0
The roots of the quadratic equation x² - x - 56 = 0 is x = -7 or x = 8
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the equation be represented as A
Now , the value of A is
x² - x - 56 = 0 be equation (1)
On simplifying the equation , we get
x² - 8x + 7x - 56 = 0
Taking the common terms in the equation , we get
x ( x - 8 ) + 7 ( x - 8 ) = 0
Now , on factorizing the equation , we get
( x + 7 ) ( x - 8 ) = 0
We have two factors which can solve the equation ,
when ( x + 7 ) = 0
Subtracting 7 on both sides of the equation , we get
x = -7
And , when ( x - 8 ) = 0
Adding 8 on both sides of the equation , we get
x = 8
Therefore , the roots of the equation are x = -7 and x = 8
Hence , the quadratic equation is solved
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Answer:
x = 8
x = -7
Step-by-step explanation:
To find the solutions of the quadratic equation x^2 - x - 56 = 0, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this equation, a = 1, b = -1, and c = -56. Plug these values into the formula and calculate the discriminant (the value inside the square root):
Discriminant (D) = b^2 - 4ac = (-1)^2 - 4(1)(-56) = 1 + 224 = 225
Now, calculate the two possible solutions:
x1 = (-(-1) + √225) / (2(1)) = (1 + 15) / 2 = 16 / 2 = 8
x2 = (-(-1) - √225) / (2(1)) = (1 - 15) / 2 = -14 / 2 = -7
So, the correct solutions to the equation x^2 - x - 56 = 0 are:
x = 8 (x = 0 is not a solution)
x = -7
(True or false)
Please help me
Answer:
False
Step-by-step explanation:
The slope in the graph is not negative.
The correct equation for the graph would be [tex]y = \frac{3}{2} x+3[/tex]
how many positive 10 digit numbers can you make using seven ones and three zeros
The number of positive 10 digit numbers that can be made using seven ones and three zeros is; 28
How to solve probability combinations?We want to find the number of positive 10 digit numbers that can be made using seven ones and three zeros.
Now, the leftmost position digit cannot be 0 and as such it is 1, due to the fact that there are no other possibilities.
The rightmost position therefore must be 0 in order to fill the need for an even number.
Thus, we have 8 remaining positions that we need to fill with six ones and two zeros using an arbitrary manner.
This means that we can place two digits of zero among 8 positions by using combination formula as;
⁸C₂ = 8!/(2! * 6*)
= 28 different ways
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What is the exact value of sin (7π/12)?
Answer:
0.9659
Step-by-step explanation:
sin 7π/12 = sin 105° = 0.9659
Answer:
The correct answer is sqr root of 6 + sqr root of 2 over/ 4. =)
Step-by-step explanation:
What’s does 1.56x-7.8 equal
Answer:-12.168
Step-by-step explanation: multiply it regularly, then count how many decimals are after the numbers, in this case, 3. cus it’s 2 after 1.56 and one after 7.8
Answer: x=5
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable (x)
XYZ Company
Balance Sheet
Assets
Cash
$45,000
Inventory $41,000
Property $134,000
Total Assets:
Liabilities
Notes
Wages
Equity
Stock
$55,000
$56,000
$50,000
Investment $59,000
Total Liabilities + Equity:
Using the balance
sheet, calculate XYZ
Company's total
assets - liabilities.
Total Assets - Liabilities = $ [?]
Enter
PH
Skip
Answer:
To calculate XYZ Company's total assets minus liabilities, you would need to add up all of the assets listed on the balance sheet and then subtract the sum of all the liabilities.
In this case, the total assets would be $45,000 + $41,000 + $134,000 = $220,000. The total liabilities would be $55,000 + $56,000 + $50,000 = $161,000.
So, the total assets minus liabilities would be $220,000 - $161,000 = $59,000.
Step-by-step explanation:
Abby is making tie dyed T-shirts for her class field trip each shirt costs 3.95. the dye costed 0.50 then she bought two boxes of salt to mix for 4.50 each. If she had 124.70 how many shirts can she make?
Answer:
3.95 + 0.50 + 4.50 × 2 = 13.45
13.45 × x = 124.70
x = 9
Therefore, she can make 9 shirts.
Physical Fitness Dino works out regularly. When he first started exercising, he
could do 10 push-ups. After the first month he could do 14 push-ups. After the
second month he could do 19, and after the third month he could do 25. Predict
the number of push-ups Dino will be able to do after the fifth month of
working out. How confident are you of your prediction? Explain.
Answer:
he will do 34 the next month
Find the surface area of the give cube.
28 in
Answer:
4704 in²
Step-by-step explanation:
We are given that,
Edge of the cube = 6 inWe are asked to to find the surface area of the cube.
Surface area generally refers to total surface area .
[tex]\bigstar \: \boxed{\sf {Surface \; Area_{(Cube)} = 6a^2 }} \\ [/tex]
a denotes edge of the cube.→ Surface area of cube = 6 × (28)² in²
→ Surface area of cube = 6 × 784 in²
→ Surface area of cube = 4704 in²
[tex] \therefore [/tex] Surface area of cube is 4704 in².
You and a friend went to Taco Bell for lunch.
You ordered 3 soft tacos and 3 burritos for
$11.25. Your friend ordered 4 soft tacos and
2 burritos for $10. How much do soft tacos cost?
How much do burritos cost
Question 2
If a = -3,6= 4 and c= -5, then by how much is the product abc greater than the sum a + b + c?
i am a 5 digit number,my ones place digit is of no use as i, i still remain same without it . my ten's and hundreds place digits are mirror images. my thousand place digit are half of 2nd, my 10thousand digit is 3 more than my ones place , who am i ?
Answer:
I think 34880.
Step-by-step explanation:
34880 I AM NOT SURE
Solve: -19<3x-4<5
(Graphs are in the image)
Answer: B (−5 < x < 3)
Steps
−19 < 3x − 4 < 5
−19 < 3x − 4 and 3x − 4 < 5
x > −5 and x < 3
−5 < x < 3
Number Line
−19 < 3x − 4 < 5 : Solution: − 5 < x < 3
[ Interval Notation: (−5, 3)]
If a < u < b then a < u and u < b
−19 < 3x − 4 : x > −5
3x − 4 < 5 : x < 3
Combine the intervals
Merge Overlapping Intervals
And that equals=
−5 < x < 3
What is the P-value?
is b because he has been a great friend of the object of his cow and he is very good about the fact he has been coughing all night long time is a force of the object to do the work and to be a good man and
Which property is illustrated by the statement below? 4(3+2)=4(3)+4(2)
Distributive property is illustrated by the statement given as 4[3+2]=4[3]+4[2]
What is distributive property?The distributive property is defined as an expression of the form A(B + C). This property is known by distributive law and applies to subtraction also. This can be solved by a multiplication over addition operation that is written as:
A(B + C) = AB + AC
Distributive property is the sum of two numbers times a third number is equal to the sum of each add end times the third number.
Since the general rule is that:
a(b + c) = ab + ac
Then, 4[3+2]=4[3]+4[2]
Therefore, the given statement elaborates the Distributive property.
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the terms rising action and climax best describe which narrative element?
Rising action and climax are best used to describe the narrative element of Plot.
What are rising action and climax ?The rising action of the novel encompasses all the developments of the characters and the dramatic events that build to the eventual climax. The most thrilling section of the story is the climax, which also marks a turning point in the plot or the objectives of the main character.
Rising action in literature refers to all the incidents that take place in a narrative leading up to the climax. The tale moves along thanks to the mounting action, which also heightens the tension and keeps us interested in what happens next. It comes after the first step of exposition in the plot.
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Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.77. (a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 21 specimens from the seam was 4.85. (Round your answers to two decimal places.)
Answer:
The 95% CI for the true average porosity of a certain seam is (4.52, 5.18).
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{0.77}{\sqrt{21}} = 0.33[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4.85 - 0.33 = 4.52.
The upper end of the interval is the sample mean added to M. So it is 4.85 + 0.33 = 5.18
The 95% CI for the true average porosity of a certain seam is (4.52, 5.18).
$1,800 principal earning 5%, compounded annually, after 9 years
Answer:
$2792.39
Step-by-step explanation:
→ Work out interest rate
( 100 + 5 ) ÷ 100 = 1.05
→ Multiply the amount by the interest rate to the power of 9
1800 × ( 1.05 )⁹ = 2792.39
Pls help me, if you get it right I will give you Brainlist!
Answer:
38.5
Step-by-step explanation:
The formula for the area of the circle is [tex]\pi rx^{2} \\[/tex].
Since you have the diameter and you're told to use 3.14 as pi, all you need to do is to substitute.
The diameter is also 2 times the size of the radius so you divide 7 by 2.
So [tex](3.14)(3.5)^{2} = 38.5[/tex]
The manager of a theatre recorded the number of people that brought tickets for each movie. What is the probability that next person in line will purchase a ticket to see movie #2
how many movies were there?
When working with piping offsets, which are based on right triangles. Which of the following angle measurements will you see as a standard elbow angle? a. 22.5, b. 60, c. 70. d.45
Answer:
d. 45°
Step-by-step explanation:
You want to know which from your list is a standard elbow angle.
ElbowAn elbow is a pipe fitting that is used to change the direction of piping. Elbows can be used together to produce an offset and/or a change in the plane of the piping.
Standard elbow angles commonly are 90°, 45°, and, less commonly, 22.5°. The greater the angle, and/or the smaller the bend radius, the more resistance to flow it has.
The best choice of answer here is 45°.
__
Additional comment
The typical elbow has the same kind of threads on both sides. A "street elbow" has male threads on one side and female threads on the other side.
Elbow joints are not necessarily threaded. They may also be soldered, welded, or compression joints.
Combine the like terms
-n + (-4) - (-4n) + 6
the simplest form of the given expression is 3n+2.
What is polynomials?
Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.
-n + (-4) - (-4n) + 6
= -n + (-4) + 4n + 6
= 3n -4 +6
= 3n+2
Hence the simplest form of the given expression is 3n+2.
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Rewrite the following phrase as a mathematical expression.
the sum of four times a number and five
4(5n)
4 + 5
4 + 5n
4n + 5
How many pairs of potential clients can be randomly chosen from pool or eight candidates
There are 34 ways by which pairs of potential clients can be randomly chosen from pool or eight candidates.
What is combination?We can be able to talk about the combination when the order of the selection is not seen as important as in the case that we have in the question here. We have been told that the pairs are to be chosen randomly.
As such we would have the use of the formula for combination as follows;
C = n!/r!( n - r)!
C = 8!/2!(8 - 2)!
C = 8 * 7 * 6!/2! 61
C = 8 * 7/ 2 * 1
C = 28
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