1) a) The volume of the sphere is 100 cubic centimeters.
b) The volume of the cylinder is 200 cubic centimeters.
2) The volume of the cone is 175 cubic centimeters.
What is the volume of a submerged object?
Herein we have two case of submerging solids into recipients full of liquid, the volume of the objects is equal to the volume of the displaced liquid. Now we proceed to calculate the volume of each object:
Point 1 - Part A:
0.8 L - 0.5 L = 3 · x
0.3 = 3 · x
x = 0.1 L
x = 100 cm³
The volume of the sphere is 100 cubic centimeters.
Point 1 - Part B:
0.8 L - 0.5 L = x + y
0.3 = x + y
0.3 = 0.1 + y
y = 0.2 L
y = 200 cm³
The volume of the cylinder is 200 cubic centimeters.
Point 2:
350 mL = 2 · z
z = 175 mL
z = 175 cm³
The volume of the cone is 175 cubic centimeters.
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where should i place the points!!! help!!
Answer:
-7
Step-by-step explanation:
PLEASE HELP ME QUICK!! I"M BEING TIMED
Carter and Ari had $240 altogether. Ari had twice as much as Carter after Carter gave him $16. How much more money did Ari have than Carter in the beginning?
Answer: $48 more
Step-by-step explanation: We use algebra. Let c = Carter and a = Ari. C+A = 240. A+16 = 2(C-16). 2C-32 + C-16 = 240. 3C - 48 is 240. 240+48 is 288. So, C is 96 and a is 144. 144- 96 = 48 more.
Please help! I've already answered part a, I don't understand what part b is asking.
Step-by-step explanation:
So, there is something known as a removable discontinuity, and it's essentially where you can define f(x) using the most simplified fraction, where you could normally not define f(x).
So we have the following equation:
[tex]f(x) = (\frac{x+5}{x+1}\div\frac{(x+3)(x-2)}{(x-4)(x+1)})-\frac{1}{x-2}[/tex]
As you may know, we cannot divide a number by the value of zero. When the denominator is equal to zero, on the graph this will appear as a vertical asymptote, where x approaches the value that makes the denominator zero, but never actually reaches it.
If you look at each denominator, you can set them equal to zero to find the vertical asymptotes
x+1 = 0
x=-1
There should be a vertical asymptote at x=-1, since it would make two of the denominators equal to -1, but let's divide the two fractions first.
Original Equation
[tex]f(x) = (\frac{x+5}{x+1}\div\frac{(x+3)(x-2)}{(x-4)(x+1)})-\frac{1}{x-2}[/tex]
Keep, change, flip
[tex]f(x) = (\frac{x+5}{x+1}*\frac{(x-4)(x+1)}{(x+3)(x-2)})-\frac{1}{x-2}[/tex]
Multiply the two fractions
[tex]f(x) = (\frac{(x+5)(x-4)(x+1)}{(x+1)(x+3)(x-2)})-\frac{1}{x-2}[/tex]
Notice how the x+1 is in the numerator and fraction? That means we can cancel it out!
[tex]f(x) = (\frac{(x+5)(x-4)}{(x+3)(x-2)})-\frac{1}{x-2}[/tex]
In this simplified version of the fraction, we can technically define f(-1), but in the original version, since it's not defined there is a removable discontinuity at x=-1, meaning there is no vertical asymptote, but the function is still not defined at f(-1), and there will be a hole at that point.
Choose the division problem represented by this model.
Answer:
The answer is C
Step-by-step explanation:
20 points please help
The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the nearest hundredth. 14, 13, 16, 12, 17, 21, 26
Answer:
3.71
Step-by-step explanation:
The mean absolute deviation(MAD) of a data set is given by the formula
[tex]$ MAD =\frac{1}{n} \sum_{i=1}^n |x_i-\bar{x}|$[/tex]
[tex]n[/tex] = number of data set values. Here [tex]n = 7[/tex]
[tex]\bar{x}=[/tex] mean of the data set values; [tex]\bar{x}=[/tex] [tex](14+13+16+12+17+21+26)/7[/tex] = [tex]119/7=17[/tex]
[tex]x_{i}[/tex] are the n individual values
[tex]\frac{1}{7} |14-17| + |13-17| + |16-17| + |12-17| + |17-17| + |21-17| + |26-17|\\= (3 + 4 + 5 + 1+ 0 + 4 + 9)/7\\= 26/7 = 3.71428 \\[/tex]
= [tex]3.71 \textrm{ rounded to the nearest hundredth}[/tex] Answer
Talia buys a 6-ounce container of macadamia nuts for $5.94 what is the unit price per ounce?
Answer:
$0.99 or 99 cents
Step-by-step explanation:
Since 6 ounces is worth $5.94, divide 5.94 by 6 to get the unit price. This is $0.99 or 99 cents.
A legend says that a tower of hanoi puzzle with 64 discs is being solved, one move per
second. how long will it take to solve this puzzle? explain how you know.
It will take 585 billion years to solve the puzzle tower of Hanoi puzzle.
What is hanoi of tower?
The Tower of Hanoi is a mathematical game or puzzle that uses three rods and a number of disks that can slide onto any rod. It is also known as The Problem of the Benares Temple, the Tower of Brahma, Lucas' Tower, or simply the pyramid puzzle. The disks are stacked on one rod at the start of the problem, the smallest at the top and roughly forming a conical shape.
Using the Tower of Hanoi as little as possible
In one version of the problem, 64 golden disks are being used by Brahmin priests to solve it.
Minimum moves required if you had 64 golden disks [tex]=2^{64}-1[/tex]
The problem would take around 585 billion years to solve if every move took a single second.
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13. The average of 15, 19, 23, 41, and x is 20. What is the value of x? (A) 2 (B) 20 (C) 23.6 (D) 31
Answer:
A
Step-by-step explanation:
(x + 15 + 19 + 23 + 41) / 5 = 20
x + 15 + 19 + 23 + 41 = 100
x + 98 = 100
x = 2
Answer: it’s 2 (A)
Step-by-step explanation:
20 * 5 = 100
15 + 19 + 23 + 41 = 98
100-98=2
A school club has 5 members. From these 5 members, a 2-person team must be chosen to represent the club at a school carnival. How many different 2-person teams can be made from the 5 club members?
A 10 teams
B 15 teams
C 20 teams
D 25 teams
Answer:
20 teams can be made
Answer:
A. 10 teams
Step-by-step explanation:
a 2-person team is a combination of two elements out of 5.
Then
The number of possible teams is :
[tex]C^{2}_5 = \frac{5!}{2! \times (5-2)!} = \frac{5!}{2! \times 3!}=10[/tex]
What type of polynomial is: 3x^4 - 2x^3 - 2
This polynomial has only 3 terms, so it is a trinomial. Hope it helps!
what is the decimal representation of 3/40
Answer:
0.075
Step-by-step explanation:
to convert a fraction to a decimal fraction
divide the numerator by the denominator, that is
[tex]\frac{3}{40}[/tex] = 3 ÷ 40 = 0.075
find the surface area of composite figure. use 3.14 for π. round to the nearest tenth
Answer:
334 in²
Step-by-step explanation:
The total surface area of the composite figure is the sum of the total area of the bottom cuboid and the lateral area of the top cuboid.
Total cuboid areaThe area of a cuboid is given by the formula ...
A = 2(LW +H(L+W))
For the bottom cuboid, the area is ...
A = 2((9 in)(7 in) +(5 in)(9 in +7 in)) = 2(63 in² +5(16) in²) = 286 in²
Lateral areaThe lateral area of a cuboid is the product of its perimeter and height. The perimeter is the sum of side lengths, or twice the sum of length and width.
LA = Ph = (2(l +w))h
LA = 2(5 in +3 in)(3 in) = 48 in²
Total composite areaThe total surface area is the sum of the lateral area of the top cuboid and the total area of the bottom cuboid:
SA = (48 in²) +(286 in²) = 334 in²
The surface area of the composite figure is 334 square inches.
__
Additional comment
The exposed area of the bottom cuboid is its total area less the area of the very top face.
The exposed area of the top cuboid is its lateral area plus the area of the very top face.
When we add these two exposed areas together, we find the area of the very top face is both subtracted and added from the sum of the total bottom area and the lateral top area. We skipped that step of adding and subtracting, because its net effect is zero.
BRAINLIEST !! Evaluate the following fractions giving your awnser in its simplest form.
a) 2/5 divided by 6
b) 3 and 1/3 times 5 and 2/5
c) 1/4+1/3-1/2
Answer:
question no c 0•08
Step-by-step explanation:
at first
1/4+1/3-1/2
0•25+0.33-0.50
0.58-0.50
0.08 answer
Order the steps needed to factor - 12a^3b^2 + 18a^2b
Answer:
12a^3b^2+18a^2b
Step-by-step explanation:
12 3b2+182b
Determine whether the following series converges conditionally, converges absolutely, or diverges. Be sure to state which test(s) you are using.
Answer:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Step-by-step explanation:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Explanation:
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
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Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
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Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
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Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
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Correct answer:
(4,6)
Explanation:
The side length of each square is 6 units.
The area of the square A2 is 20 squared units
How to determine the area of A2?The complete question requires that we calculate the area of square A2
The side length of each square is 6 units.
So, the side length (L) of A2 is
L^2 = (2)^2 + (6 - 2)^2
This gives
L^2 = 20
The above represents the area of the square A2
Hence, the area of the square A2 is 20 squared units
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Answer:
Triangle Area = 4 units^2Step-by-step explanation:
assuming you are looking for the area of the triangles, there is no specific question, they are right-angled triangles congruent with the catheti of 2 and 4 units.
Triangle area = 1/2 base x height.
so 1/2 2 * 4 = 4 units^2
Mr. and mrs. smith plan to roof the cabin on 2 consecutive days. Assuming that the chance of rain is independent of the day, what is the probability that it will rain both days?
The probability that it will rain both days is [tex]\frac{1}{4}[/tex].
According to the question
Mr. and mrs. smith plan to roof the cabin on 2 consecutive days.
Assuming that the chance of rain is independent of the day
Probability is the chance that some event will happen.
It is the ratio of the number of ways a certain event can occur to the number of possible outcomes.
Probability = Number of ways it can occur/Total number of outcomes
Probability of rain on first day = 1/2
Probability of rain on second day = 1/2
Then
Probability of rain on both days = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = 1/4
Hence,
The probability that it will rain both days is [tex]\frac{1}{4}[/tex].
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Boyle's law states that if the temperature of a gas remains constant, then PV=c, where P=pressure,V=volume , and c is a constant. Given a quantity of gas at constant temperature, if V is decreasing at a rate of 10in^3/sec, at what rate is P increasing when P =60lb/in^2 and V=20in^3 in? (do not round your answer.)
a. 30 lb/in^2 per sec
b. 120lb/in^2 per sec
c. 9 lb/in^2 per sec
d. 10/3 lb/in^2 per sec
The pressure, P if V is decreasing at a rate of 10in^3/sec is 120lb/in^2 per sec.option B
Boyle's lawPV = c
where,
P=pressure,V=volume , and c is a constantwhen P =60lb/in^2 and V=20in^3
PV = c
60 × 20 = 1200 in
Find P if V is decreasing at a rate of 10in^3/sec
PV = c
P × 10 = 1200
10P = 1200
P = 1200 / 10
P = 120lb/in^2 per sec
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What is the slope of the line shown in the graph? Express your answer as an improper fraction or as an integer as appropriate. Show your work
Slope can be found between two points using the formula [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex].
If we substitute in your points (which is x and which is y does not matter as long as it is consistent), we will get
[tex]\frac{(4-1)}{(2-0)}[/tex].
Simplifying this further, your slope will be
[tex]\frac{3}{2}[/tex].
hope this helps!
The figure shown is made up of a cone and a cylinder. The height of the cone is 5 ft and its diameter is 12 ft. The height of the cylinder is 20 ft.
Diagram shows a composite shape formed by placing a cone next to a cylinder that share a common circular base. The diameter of the cone is labeled 12 feet, the height of the cone is labeled 5 feet, and the height of the cylinder is labeled 20 feet.
Find the lateral surface area of the cone and the surface area of the sides and bottom of the cylinder.
The lateral surface area of the cone is about Blank ft2. The surface area of the sides and the bottom of the cylinder is about blank ft2. The total surface area of the figure is about blank ft2.
Options for blank 1
A.260
B.188
C. 147
Options for blank 2
A. 980
B. 867
C. 1,508
Options for blank 3
A. 1,168
B. 1,768
C.1,127
D. 1,014
The lateral area of a cone is 147ft².
The total surface area of the cylinder is 867ft².
The total surface area is 1014ft²
What is the lateral surface area of a cone?The lateral area of a cone is defined as the area covered by the curved surface of the cone.
Lateral area of a cone = πr x √(r² + h²)
Where:
r = radius = 12/2 = 6ft h = height = 5ftπ = 3.143.14 x 6 x √(36 + 25) = 147ft²
What is the total surface area of the figure ?
Total surface area of the cylinder : πr(r + 2h),
(3.14 x 6) x (6 + 40) = 867ft²
Total surface area = 867 + 147= 1014ft²
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What is the equation of the line that passes through the point (-6,2) and has a slope of 1?
Answer:
[tex]y = x + 8[/tex]
Step-by-step explanation:
The equation of a line is:
[tex]y = mx + c[/tex]
Where m is the gradient (or as you call it, the slope), and c is the y-intercept. We already know what the slope is, therefore we need to find the y-intercept. You have been given the coordinates (-6, 2), but to find the y-intercept, X must be equal to 0. Since the gradient is 1, we know that for every value we add to X, we must add the same to y. To get from -6 to 0, we must add 6, so we must do the same 2, leaving our y-intercept coordinates as (0, 8), and our y-intercept as 8. Plugging in our values, we are left with the following equation:
[tex]y = x + 8[/tex]
Determine the number of different groups of 5 items that can be selected from 12 distinct items.
There are total 95040 number of different groups of 5 items can be selected from 12 distinct item.
According to the given question.
Total number of items, n = 12
Total numbers of items to be selected, r = 5
Since, we have to determine the number of different groups of 5 items that can be selected from 12 distinct items. So, we will find the number of different groups by permulation formula i.e.
[tex]^{n} P_{r} = \frac{n!}{(n-r)!}[/tex]
Where,
[tex]^{n} P_{r}[/tex] is the total number of permutations.
n is the total number of objects.
r is teh total number of objects to be selected.
Therefore,
The number of different groups or permutaions of 5 items that can be selected from 12 distinct group
[tex]^{12} P_{5}[/tex]
[tex]= \frac{12!}{(12-5)!}[/tex]
[tex]= \frac{12!}{7!}[/tex]
[tex]= \frac{12\times11\times10\times9\times8\times7!}{7!}[/tex]
= 12 × 11 × 10 × 9 × 8
= 95040
Hence, there are total 95040 number of different groups of 5 items can be selected from 12 distinct item.
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When strawberry prices increase 20 percent, the quantity demanded of whipped cream falls 10 percent. what is the cross-price elasticity of demand between strawberries and whipped cream?
The cross-price elasticity of demand between strawberries and whipped cream is (C) -0.5.
What is the cross-price elasticity of demand?The cross elasticity of demand, also known as the cross-price elasticity of demand, is a measure in economics that compares the percentage change in the quantity desired for one commodity to the percentage change in the price of another good, everything else being equal. In practice, the amount desired of a thing is affected not only by its own price (price elasticity of demand) but also by the prices of other "related" products.As an example, when strawberry prices rise by 20%, demand for whipped cream falls by 10%. The cross-price elasticity of demand between strawberries and whipped cream is -0.5.Therefore, the cross-price elasticity of demand between strawberries and whipped cream is (C) -0.5.
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The complete question is given below:
When strawberry prices increase by 20 percent, the quantity demanded of whipped cream falls by 10 percent. What is the cross-price elasticity of demand between strawberries and whipped cream?
a. -2
b. 2
c. -0.5
d. 0.5
4x + 3 = 2x + 9
Solve for x
Answer:
x = 3
Step-by-step explanation:
4x + 3 = 2x + 9
1. Remove 3 from both sides
4x = 2x + 6
2. Remove 2x from both sides
2x = 6
3. x = 3
Answer:
here is the answer
hope it helps u
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Rashmi
Please help !!! Need help !!!
Answer: B. alternate interior angles.
Step-by-step explanation:
3² +4² = 5²,
6² + 8² = 10² and
9² + 12² = 15²
Can you prove,using algebraic method,that this relationship will be true for any multiple of the triple,
3, 4, 5?
Prove that the statement
5² +12² =13² will hold true for any multiple of this triple.
Answer:
They are all true
Step-by-step explanation:
1. 3² +4² = 5²
3x3 + 4x4 = 5x5
9 + 16 = 25
25 = 25
-----------------------
2. 6² + 8² = 10²
36 + 64 = 100
100 = 100
------------------
3. 9² + 12² = 15²
81 + 144 = 225
225 = 225
-------------------
4. 5² +12² =13²
25 + 144 = 169
169 =169
-------------------
20. In the figure at right, ABDC lies in plane k and AD IDC.
AD is definitely perpendicular to k if which of the following is true?
(A) BDLDC (B) ADBC=AABC (C) ADBC is isosceles
(D) ADAB is similar to ADAC (E) none of these
The option that's true about the plane illustrated is E. None of these.
How to illustrate the plane?From the information given, it should be noted that DBC isn't an isosceles triangle.
Also, from the figure, one can see that DAB isn't similar to DAC.
Likewise, BD and DC aren't perpendicular.
In conclusion, the correct option is E.
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What is the domain of the following points? Group of answer choices {-4, 1, 4} {-4, -1, 1, 4} {-1, 4, 1} {1, 4}
The domain of the relation shown in the graph is -4 <= x <= 4
How to determine the domain of the relation shown in the graph?The complete question is added as an attachment
The relation on the graph is an ellipse function.
The domain is the set of x values the function can take
From the graph, we have the following x values
This means that the domain of x in the graph is -4 <= x <= 4
Hence, the domain of the relation shown in the graph is -4 <= x <= 4
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Solve the compound inequality. 5x – 11 < –11 or 4x + 2 > 14
Answer:
5x-11<-11
group like terms
5x<11+11
5x<22
divide both sides by 5
If a hypothesis test is found to have power = 0. 80, which is the probability that the test will result in a type ii error?
The probability that the hypothesis test will result in a type ii error, β is 0.20.
In this question,
A type II error is one of two types of statistical errors that can result from a hypothesis test (the other being a type I error). A type II error will occur if the statistical test is not powerful enough. And it occurs when one rejects the alternative hypothesis (fails to reject the null hypothesis) when the alternative hypothesis is true.
The probability of a type II error is denoted by *beta*, β.
Power of a test = 0.80
The relation between power of a test and type II error is given as,
Power = 1 - type II error
⇒ Type II error, β = 1 - 0.80
⇒ Type II error, β = 0.20
Hence we can conclude that the probability that the hypothesis test will result in a type ii error, β is 0.20.
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