the volume of a region bounded by the curve and the -axis between is 19.47787445 cubic units.
What is volume of cone?
The area or volume that a cone takes up is referred to as its volume. Cones are measured by their volume in cubic units such as cm3, m3, in3, etc. By rotating a triangle at any of its vertices, a cone can be created. A cone is a robust, spherical, three-dimensional geometric figure.. Its surface area is curved. The perpendicular height is measured from base to vertex. Right circular cones and oblique cones are two different types of cones. While the vertex of an oblique cone is not vertically above the center of the base, it is in the right circular cone where it is vertically above the base.
So the
V = (1/3)πr²h.
V = π ∫ (x^2)^2 dx - π ∫ 0 dx = π ∫ (x^4) dx - 0 = π (x^5 / 5)
Evaluating from 2 to 1 yield the following:
π (2^5 / 5 - 1^5 / 5) = π (32/5 - 1/5) = 31π/5 cubic units, approximately equal to 19.47787445 cubic units
Hence, the volume of a region bounded by the curve and the -axis between is 19.47787445 cubic units
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Name the corresponding angle to angle 4.
HELP THIS IS DUE IN 10 MINSSSS
A: angle 6
B: angle 8
C: angle 2
D: angle 5
The corresponding angle to angle 4 is angle 8.
What is corresponding angle?When two parallel lines intersect any other line, corresponding angles are formed in matching corners or corresponding corners with the transversal.Corresponding Angles are on the same side of the transversal as the transversal and in a similar matching location.If the transversal intersects two parallel lines perpendicularly, the corresponding angles can be supplementary (i.e. at 90 degrees). In this case, each corresponding angle will be 90 degrees, and their sum will be 180 degrees (i.e. supplementary).For example, in the figure that is given question,∠4 and ∠8 are corresponding angles and thus congruent. Other corresponding angle pairs are ∠3 and ∠7, ∠1 and ∠5, and ∠2 and ∠6.To learn more about corresponding angles refer to :
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Can Someone Solve This By Using The Formula a^2+b^2=c^2
Answer: 24 cm
Step-by-step explanation:
51cm is the hypotenuse, so that it will be C in the equation!
45^2 + b^2 = 51^2
2025 + b^2 = 2601
b^2 = 576
b = 24 cm
(03.03 MC)
Which is the domain and range of the parabola with the equation y = 0.5(x² – 8x − 6)?
is 12 fl oz or 355 ml more
How do you find the domain and range of a line graph?
The method to find the domain and range of the line graph is shown below .
In the question ,
we have to explain how we can find the domain and range of a line graph that is linear function .
we know that ,
Domain is the set of all possible input values , which produce a valid output from a particular function. It is set of all values for which the function is mathematically defined.
For Example ,
let the linear function be ⇒ f(x) = 2x + 1 ,
for the function every real number is a possible input .
thus , function's domain is all real numbers .
A line graph (shown below) , will extend forever in either y direction.
The range of linear function is all real numbers .
Therefore , the method to find the domain and range is explained above .
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To join Planet Fitness, there is a registration fee of $30 and a monthly fee of $10. Write an equation relating the total cost, C, of the gym membership to the number of months, m, enrolled.
Total cost , C become 30 + 10m
What do you mean by algebraic expression?
The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
It is given that the registration fees is $30 and monthly fees be $10
Let the number of months be represented by m
Total cost, C = 30 + 10m
Therefore, Total cost , C become 30 + 10m
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Ethan buys a video game on sale. if the video game usually costs $39.99, and it was on sale for 20% off, how much did ethan pay? round to the nearest cent.
The required amount that Ethan have to pay is $32.
What is discount on sale?A sales discount is a marked down cost presented by a business on an item or administration. Figure out how to remember limits for solicitations. A deals rebate, likewise usually known as only a 'markdown' furnishes clients of a business with a diminished rate on at least one of the items or administrations being advertised.
According to question:We have,
Selling price = $39.99
Discount = 20%
20% of $39.99 = 20×$39.99/100
⇒ $7.99
So the payable amount for video game = $39.99 - $7.99
⇒ $32
Thus, required price is $32.
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5,2,4/5 find the 10th term
What is the slope of the line that passes through the points (-5, 6) and (-9, -6)
The slope of the line that passes through the points (-5, 6) and (-9, -6) is 3
What is slope ?
A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).
Let the given points as shown:
(x1,y1)= (-5, 6) and (x2,y2)= (-9, -6)
Slope = m = (y2-y1) /( x2-x1)
= (-6-6) /(-9-(-5))
= -12/-4
= 3
So, the slope of the line that passes through the points (-5, 6) and (-9, -6) is 3
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The length of a rectangle is twice its width. If its perimeter is 54 cm, find its length.
a. 18 cm
b. 10 cm
c. 19 cm
d. 15 cm
The length of a rectangle is found to be 18 cm.
An enclosed 2-D shape plane called a rectangle has four sides, four corners, and four right angles (90°). It has equal and parallel opposite sides. Because a rectangle is a two-dimensional form, it has length and width as its two dimensions. The length of a rectangle is considered as its longer side; its breadth is considered as its shorter side.
The perimeter of the rectangle is given as 54 cm. Let's consider the length of the rectangle as x and the width as y.
The formula to calculate the perimeter is 2(x+y).
The length is given as 2y.
Then, the perimeter is,
[tex]\begin{aligned}\text{Perimeter}&=2(2y+y)\\&=4y+2y\\&=6y\\54&=6y\\y&=\frac{54}{6}\\&=9\end{aligned}[/tex]
Then, the length is 2y=2×9=18.
The answer is 18 cm. Therefore, the correct option is option a.
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an argument is sound if it is group of answer choices valid and has a true conclusion. invalid but has a true conclusion. valid and has true premises. invalid but has true premises
Yes a sound argument has true conclusion this statement is true.
1. A valid argument must have a true conclusion.
This statement(1) is false. A valid argument must have a true conclusion only if all of the premises are true. So it is possible for a valid argument to have a false conclusion as long as at least one premise is false.
2.A sound argument must have a true conclusion.
This Statement(2) is true.
If an argument is sound, then it is valid and has all true premises. Since it is valid, the argument is such that if all the premises are true, then the conclusion must be true. A sound argument really does have all true premises so it does actually follow that its conclusion must be true.
3. If a valid argument has a false conclusion, then at least one premise must be false.
this statement(3) is true
A valid argument cannot have all true premises and a false conclusion. So if a valid argument does have a false conclusion, it cannot have all true premises. Thus at least one premise must be false.
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a control chart for a bottled product requires that a sample consisting of a single bottle contain between 350 and 360 milliliters of product. sample data, taken when the bottling process was in control, indicate that bottles contain an average of 355 milliliters, and you know that the bottling process has a standard deviation of 4 milliliters when in control. given that the bottling process is in control, what portion of its output will fall outside the limits of the chart?
So, bottling process is in control thus .0124 portion is fall outside the limit.
What is standard deviation ?In statistics, the standard deviation measures how widely distributed or how much a set of values might vary. While a high standard deviation denotes that values are scattered throughout a wider range, a low standard deviation suggests that values are normally close to the set's mean.
Here,
A sample consisting of a single bottle contain between 350 and 360 milliliters of product is taken
Since ,
bottles contain an average of 355 milliliters, has Standard deviation = 4 milliliters
using fomula
Sd= 4 milimeters
upper bound 360
an lower bound = 350
So, bottling process is in control thus .0124 portion is fall outside the limit.
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If x ≥ 0, then x+|x| =
The best and most correct answer is 2x greater then zero which satisfy the condition.
What is the absolute value function?The absolute value function is defined by the following piecewise rule, depending on the input of the function:
If x ≥ 0, then we need to find x+|x|
Since {x | x < 0} and {x | x > 0} there is no number that is less than zero and greater than zero at the same time.
WE need to add here;
x+|x| = 2x
Therefore, we can see that 2x is greater then zero which satisfy the condition.
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y= 1/4 x+6 graph the line
Note that this line is in form y = mx + b, where b is the y intercept and m is the slope.
Y intercept is the value of y at x = 0
The function starts at y = 6
Slope is 1/4, meaning that for every 4 x the line travels, it goes up 1.
This is what the graph would look like:
(see image)
Hope this helps :)
If you need any more explanation, feel free to ask. If this really helps, consider marking brainliest.
- Jeron
if line CE bisects line FG, DG= DE, CE= 42 feet and CD= 29 feet, find FG
The length of segment FG is 26 feet.
What is Straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point.
Given that line CE bisects line FG.
DG= DE,
The length of segment CE is forty two feet.
CE=42 feet.
The length of segment CD is Twenty nine feet.
CD=29 feet.
We need to find the length of FG.
Firstly let us find the length of DE.
CE-CD=DE
42-29=13 feet.
As DG=DE then the length of DG is 13 feet.
DG=DF=13
FG=DG+DF
=13+13=26 feet.
Hence, if line CE bisects line FG, DG= DE, CE= 42 feet and CD= 29 feet then FG is 26 feet.
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What is the mass of an object on the moon when its mass on the earth is 20kg?
The mass of an object on the moon will be same that is 20 Kg when it's mass on the Earth is 20 Kg .
In the question ,
it is given that ,
the mass of the object on the Earth is 20 Kg .
we have to find the mass of the same object on the moon ,
We know that Mass is defined as the numerical measure of its inertia ,
and weight is calculated as
weight = mass × gravity ,
and mass is a constant quantity ,
So , the mass remain unchanged that is 20Kg .
Therefore , the mass of the object on the moon will be same as of Earth that is 20 Kg .
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Gabriella's four test scores are 80%, 92%, 80%, and 84%. What is her mean score?
76
84
80
88
Answer:
84%
Step-by-step explanation:
To find the mean, you use a formula.
You add up all the numbers, then divide that by how many numbers you have:
80 + 92 + 80 + 84
336 / 4 = 84
thus 84 is the answer
a medical institution requests 1 g of bismuth-214, which has a half life of 20 min. how many grams of bismuth-214 must be prepared if the shipping time is 2 h?
Medical institution 64 grams of bismuth-214 must be prepared.
What is medical institution?A medical institution is a facility in which medical care is provided. It can be a hospital, clinic, nursing home, or other type of health care facility. Medical institutions provide a wide range of services including diagnosis, treatment, and preventive care. In addition to providing direct patient care, they also provide educational opportunities, research, and administrative services. Medical institutions are staffed by a variety of healthcare professionals such as doctors, nurses, allied health professionals, and administrative staff. They are responsible for providing quality care to their patients and ensuring the safety and wellbeing of their staff and visitors.
Given: 2 hours = 20 minutes
If each half life is 20 minutes, and 2 hours (120 minutes) go by,
then n = 6 ( [tex]\frac{120}{20}[/tex] )
The setup is as follows:
[tex]1g=m_{i}(\frac{1}{2}) ^{\frac{120}{20} }[/tex]
[tex]1g=m_{i}(0.015625)[/tex]
[tex]\frac{1}{0.015625} =64g[/tex]
Hence, 64 grams of bismuth-214 must be prepared if the shipping time is 2 hours.
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What is the slope percentage of 1 12?
The slope percentage of the given ratio i.e. 1:12 is 83.33%.
You can determine the slope percentage by dividing the elevation change by the horizontal distance covered (sometimes called "the rise divided by the run") and multiplying the result by 100. The "run" assumes a flat surface - it doesn't account for elevation change when factoring in the actual distance traveled.
Example: let’s assume a mountaineer climbs 1,000 feet in altitude (the rise) and the horizontal distance measured on the map is 2,000 feet (the run).
thus, 1,000/2,000 = 0.5
Multiply 0.5 by 100 to derive the percent of the slope, which is 50%.
Hence, the slope percentage of 1:12 is = (1/12) x 100
= 8.33 x 100
= 83.33 %.
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The complete question is -
What is the slope percentage of 1:12?
Please helpp 20 points
What graph goes to the inequality
x < 3 or x > 6
In photo
Answer: A :)
Step-by-step explanation:
an organization wants to select a committee of 3 members from a group of 11 eligible members. how many different committees are possible?
the 165 different committees are possible in combination.
What is combination?
If the order of the selections is unimportant, a combination is a mathematical choice made from a collection of various elements (unlike permutations). An apple and a pear are just one of three conceivable combinations if three fruits, such as an orange, an apple, and a pear, are provided. A k-combination of a set S is, technically speaking, a subset of the k distinctive elements of S. Alternatively said, two combinations are identical if and only if they have the same members. (How each set's members are ordered is not crucial.) the number of k-combinations given a set of n elements
That would be equal to the Combinations of 11 items taken 3 at a time.
C(n , k) = n!/[k!(n - k)!]
= 11!/[3!*(11 - 3)!]
= 11!/(3!*8!)
= 11*10*9/3*2
= 15*11
=165
Hence the 165 different committees are possible in combination.
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What is the slope of a line parallel to the line -1/2x=4y
Answer:
Step-by-step explanation:
Line 1: -3y = 2x + 6 Line 2: (2/9)y - 4 = (1/3)(x - 18)
A shirt is on sale for 25% off. If the original price was $120, what is the sale price?
Answer:
If a shirt is on sale for 25% off and the original price was $120, then the sale price is $90. This is because 25% of $120 is $30, and when we subtract this amount from the original price, we get $120 - $30 = $90.
In general, if an item is on sale for x% off and the original price was y dollars, then the sale price is y - (x/100) * y dollars. For example, if the discount is 25% and the original price is $120, then the sale price would be $120 - (25/100) * $120 = $90.
Step-by-step explanation:
Answer:
The sale price is $90
Step-by-step explanation:
Given;A shirt is on sale for 25% off. If the original price was $120.To Find;The sale price.Now,
(120 × 25) ÷ 100 = $30
Here, we get 25% of $120 is $30
So,
$120 - $30 = $90
Thus, The sale price is $90
Grey said he is thinking of a mystery number. The number is between 20 and 30, and it has exactly 3 factors. What is Grey's mystery number?
Answer:
25
Step-by-step explanation:
Let x be the mystery number.
The minimum number of factors a number can have is two:
1 and the number itself.(These numbers are called prime numbers).
If a number has exactly 3 factors, it must be an perfect square number since every perfect square has an odd number of factors and any number that is not a perfect square will have an even number factors..
Odd square numbers between 20 and 30:
25Factors of 25: 1, 5 and 25.
Therefore, Grey's mystery number is 25.
Proof:
Factors of 20: 1, 2, 4, 5, 10 and 20.Factors of 21: 1, 3, 7 and 21.Factors of 22: 1, 2, 11 and 22.Factors of 23: 1 and 23. (23 is a prime number)Factors of 24: 1, 2, 3, 4, 6, 8, 12 and 24.Factors of 25: 1, 5 and 25.Factors of 26: 1, 2, 13 and 26.Factors of 27: 1, 3, 9 and 27.Factors of 28: 1, 2, 4, 7, 14 and 28.Factors of 29: 1 and 29. (29 is a prime number)Factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30.During a stock clearance sale the shopkeeper gave a discount of 20% on sandals what will be the sale price of sandals if it’s marked price is rupees 560
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in a row of five squares, each square is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color. how many ways are there to color the five squares?
There are 4 ways are there to color the five squares
Given that
Reds cannot be placed close to one another per the regulations, so the three reds must be placed in squares 1, 3, and 5.
We can use either yellow or blue in Square 2. There is only one color remaining for square 4 after each of those decisions.
There are 4 ways.
Red Yellow Red Blue Red
Red Blue Red Yellow Red
Red Yellow Red Yellow Red
Red Blue Red Blue Red
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under what conditions might someone be more rational? multiple choice question when provided likelihoods as percentages. when provided probability information. when provided frequency information. when provided less information.
The condition under which someone becomes more rational is when someone provided probability information.
Probability gives information about the likelihood that something will occur. For instance, weather patterns are used by meteorologists to predict the possibility of rain. Probability theory is utilized in epidemiology to comprehend the connection between exposures and the risk of health outcomes.
Everyday existence heavily relies on probability. In the analysis of political strategies, the determination of blood types, sports and gaming strategies, purchasing or selling insurance, online shopping, and online games.
Thus, having knowledge about probability makes someone more rational.
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a city has a population of people. suppose that each year the population grows by . what will the population be after years? use the calculator provided and round your answer to the nearest whole number.
After six years, the population will grow to 586,455 if compounded annually at a rate of 7.5%.
This is exactly like a compound interest problem where the interest rate is 7.5% compounded annually for 6 years.
If we use the compound interest formula A = P(1+r/n)nt where A is the end amount to be found, p = initial amount (p= 380,000), n = number of times the interest is compounded annually (n= 1) and t is the time in years (t=6)
A = 380,000(1 + .075/1)1(6)
A = 380,000(1.075)6
A = 586,454.58 people
Rounded to the nearest whole number
the population after 6 years should be
586,455 people
Hence we get the required answer.
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Your question is incomplete. Please find the missing content below.
A city has a population of 380,000 people. suppost that each year the population grows by 7.5%. what will be the population after 6 years.
Ray has nine cards numbered 1 to 9
1 2 3 4 5 6 7 8 9
Ray takes at random three of these cards.
He works out the sum of the numbers on the three cards and records the result.
Work out the probability that the result is an even number.
The probability of the result is 11/21.
What is a combination?A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen.
Ray has 4 even numbered cards and 5 odd numbered card.
Ray takes at random three of these cards.
Let, all the three cards are even numbered card.
So, the sum of even numbers is even.
Suppose, two cards are odd numbered and one card is even numbered.
And the combination of 2 odd numbered card and one even numbered card is even.
Now, the possible outcomes;
= {C³₄ + C¹₄C²₅} / C³₄
In order to solve the combination:
Simplify,
{C³₄ + C¹₄C²₅} / C³₄
= [ 3! / {4! x (4-3)!} + 1!/{4! x (4-1)!} x 2!/{5! x (5-2)!} ] / [3! / 4!x (4-3)!]
= 11/21
Therefore, the probability is 11/21.
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So you have a circle of sand going around a wooden door and buckets of soapy water. You need to ask for one more thing to torch this door. What could that be?
Answer:
Butane Gas
Step-by-step explanation:
When you add butane gas to soapy water, it reacts with a lighter/fire and will burst into flames. An example video should show up if you search for burning hand fire experiment online.