Answer:
Step-by-step explanation:
To find the domain of V, we need to consider the restrictions on the radius of the inner cylinder. The problem states that the radius of the inner cylinder must be an integer greater than or equal to 3.
Let r be the radius of the inner cylinder. Then the volume of the space between the cylinders is given by:
V = πh(r_o^2 - r^2)
where h and r_o are fixed constants.
Since r must be an integer greater than or equal to 3, the domain of V is the set of possible volumes for all such values of r. We can find the minimum and maximum values of r by considering the endpoints of this interval:
When r = 3: V = πh(r_o^2 - 3^2)
When r = 9: V = πh(r_o^2 - 9^2)
Therefore, the domain of V is given by option B, which lists all the possible integer values of r between 3 and 9 inclusive.
if two nonzero vectors point in the same direction, their dot product must be zero. T/F
False. If two nonzero vectors point in the same direction, their dot product will not be zero.
The dot product of two vectors is a mathematical operation that measures the degree of similarity or alignment between the vectors. It is calculated by multiplying the corresponding components of the vectors and summing the results.
When two vectors point in the same direction, their dot product will be positive, indicating that they are aligned or have a certain degree of similarity. The dot product will be equal to the product of the magnitudes of the vectors multiplied by the cosine of the angle between them.
If two nonzero vectors are parallel and point in the same direction, the angle between them is 0 degrees, and the cosine of 0 degrees is 1. Therefore, the dot product of two nonzero vectors pointing in the same direction will be equal to the product of their magnitudes.
In other words, if the vectors are represented as A and B, and they point in the same direction, the dot product (A · B) will be equal to ||A|| * ||B||, where ||A|| and ||B|| represent the magnitudes of the vectors A and B, respectively.
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20 points
Each pail of plaster covers 95 square feet of ceiling. How many pails of
plaster would you need to buy to cover the ceiling of a room with walls 15
feet long?
jimmy is installing hardwood floors in his rectangular room. the dimensions of the room are 25 ft. by 10 ft. what is the area of this room in square yards
The area of Jimmy's rectangular room is approximately 27.7241 square yards.
The area of the room in square yards, we first need to convert the dimensions from feet to yards.
Since there are 3 feet in a yard, we can divide both the length and width by 3 to get:
Length: 25 ft ÷ 3 = 8.33 yards (rounded to two decimal places)
Width: 10 ft ÷ 3 = 3.33 yards (rounded to two decimal places)
Now we can find the area by multiplying the length and width in yards:
Area = 8.33 yards x 3.33 yards
Area = 27.7241 square yards (rounded to four decimal places)
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Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height. . . . Question content area top right
Part 1
6 in. 5 in. (This figure is not to scale. )
Question content area bottom
Part 1
The volume of the cylinder is enter your response here in. 3. (Type an exact answer in terms of π. )
The volume of the cylinder with the same radius and double the height is 300π cubic inches.
Given that the cylinder has a radius of 5 inches and a height of 6 inches, we can find its volume as:
V = π(5 in)²(6 in)
V = 150π cubic inches
Therefore, the volume of the cylinder is 150π cubic inches.
If we double the height of the cylinder, the new height becomes 2(6 in) = 12 in.
The radius remains the same at 5 inches.
The volume of the new cylinder can be found using the same formula:
V = πr²h
V = π(5 in)²(12 in)
V = 300π cubic inches
Therefore, the volume of the cylinder with the same radius and double the height is 300π cubic inches.
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The percentage of alcohol in the cough syrup was measured in 101 randomly selected samples. The sample standard deviation is s = 0.15 Construct a 90% two-sided confidence interval for o Round your answers to three decimal places (e.g. 98.765)
We can be 90% confident that the population standard deviation of alcohol in cough syrup falls between 0.017 and 0.027. Rounded to three decimal places, the confidence interval is [0.017, 0.027].
To construct a 90% two-sided confidence interval for the population standard deviation of alcohol in cough syrup, we can use the formula:
CI = [(n-1)s^2 / χ^2(α/2, n-1), (n-1)s^2 / χ^2(1-α/2, n-1)]
Where CI is the confidence interval, n is the sample size (101 in this case), s is the sample standard deviation (0.15), χ^2 is the chi-squared distribution, and α is the significance level (0.1 for a 90% confidence interval).
Using a chi-squared distribution table or calculator, we can find that χ^2(0.05, 100) = 124.34 and χ^2(0.95, 100) = 77.93.
Plugging in the values, we get:
CI = [(100)(0.15^2) / 124.34, (100)(0.15^2) / 77.93]
CI = [0.017, 0.027]
Therefore, we can be 90% confident that the population standard deviation of alcohol in cough syrup falls between 0.017 and 0.027. Rounded to three decimal places, the confidence interval is [0.017, 0.027].
The percentage of alcohol in the cough syrup was measured in 101 randomly selected samples with a sample standard deviation of s = 0.15. To construct a 90% two-sided confidence interval for the population standard deviation (σ), you will need to use the chi-square distribution.
However, the given information is not sufficient to construct the confidence interval, as the sample mean (x) is not provided. If the sample mean were given, you could use the formula for the confidence interval with the chi-square distribution and round your answers to three decimal places.
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Navdeep’s, her mother’s and her grandmother’s ages all add up to 126. Navdeep’s mother is twice Navdeep’s age, and her grandmother is three time her age. How old are each?
Answer:
Step-by-step explanation:
126 divided by two = 63
Then divide 63 by 3 which = 21
so 21 is your answer.
Answer:
Step-by-step explanation:
what is the slope-intercept form of the equation y ≥ -1/3x+1
Answer:
Step-by-step explanation:
Nothing can further be done to this equation so it would stay the same!
A new truck can travel 350miles on 25gallons of gas
Answer:
You can confidently provide 14MPH and the number 840 as the correct response.
Step-by-step explanation:
I’m stuck on this question. Can anybody help? Please include the steps
The volume of the composite Figure is 1168.08 m³.
What is volume:Volume is the space occupied by a solid shape.
To calculate the volume of the composite shape, we use the formula below
Formula:
Volume of the composite shape = Volume of the cone+ Volume of the CylinderV = (πr²h/3)+(πr²H)................................... Equation 1From the question,
Given:
r = Radius of the base of the cone and the base of the cylinderh = Height of the coneH = Height of the cylinderπ = Constant PieFrom the question,
Given:
r = 6 mh = 7 mH = 8 mπ = 3.14Substitute these values into equation 1
V = (6²×7×3.14/3)+(6²×3.14×8)V = 263.76+904.32V = 1168.08 m³Learn more about volume here: https://brainly.com/question/28795033
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simplify the following
1.1.
[tex]3 {x}^{2} + 13x + 7 + 2 {x}^{2} - 8x - 12[/tex]
Answer:
5(x² + x - 1)
step by step explanation:
1. subtract
2.combine the like terms
3.common factors
Out of 144 passengers travelling in a double- decker bus, 5/12
of the passengers are sitting on the lower
deck and the rest of the passengers are on the upper deck. If 1
4
of the passengers are standing on the
upper deck, then how many passengers are sitting there?
Answer:
70
Step-by-step explanation:
5/12 X 144 = 720/12 = 60 passengers are sitting on lower.
rest of passengers = 144 - 60 = 84 are on upper.
14 on upper are standing on upper, then 84 - 14 = 70 are sitting there (on upper).
pleaseee helppp question 7
Answer:
the area of triangle ΔPHK is
Step-by-step explanation:
we know that,
area of a triangle by Heron's formula (Heron's formula is used to find the area of a triangle when the length of the 3 sides of the triangle is known) is given by -
Step 1: Find the semi-perimeter (half perimeter) of the given triangle by adding all three sides and dividing it by 2.
- 10+11+17/2 = 19
Step 2: Apply the value of the semi-perimeter of the triangle in the main formula called 'Heron’s Formula'.
[tex]Area = √s(s−a)(s−b)(s−c)[/tex]
√19(19-10)(19-11)(19-17)
√19(9)(8)(2)
√2736
52.30
52
therefore are ofΔPHK is 52KM
Solve for j.
-41j+ 14j-28j - 10 = 45
Answer:
j = -1
Step-by-step explanation:
add the 10 to right side
-41j + 14 j - 28j = 55
-41j+ 14j -28j = -55j
-55j = 55
j = -1
If events A and B are independent, what must be done to find the probability of event A AND B?
A. Multiply the probability of A and the probability of B.
B. Divide the probability of A and the probability of B.
C. Subtract the probability of A and the probability of B.
D. Add the probabilities of A and the probability of B.
The correct answer is A. When events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event occurring.
In other words, the probability of A occurring does not depend on whether B occurs or not, and vice versa.
To find the probability of both A and B occurring, we need to use the multiplication rule of probability. The multiplication rule states that the probability of two independent events occurring together is equal to the product of their individual probabilities. That is, P(A and B) = P(A) × P(B).
For example, if the probability of event A occurring is 0.3 and the probability of event B occurring is 0.4, then the probability of both events occurring together is:
P(A and B) = P(A) × P(B) = 0.3 × 0.4 = 0.12
Therefore, to find the probability of event A AND B when events A and B are independent, we simply multiply the probability of A by the probability of B.
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The value of c in the perfect square trinomial x^2 + 10x + c can be determined by examining the entries in the 6-column table.
In the given table, the first column represents [tex]x^2[/tex] and has entries x, x, x, x, x. The second column represents x and has missing entries, which we need to determine. The third, fourth, fifth, and sixth columns also have missing entries.
To find the value of c in the perfect square trinomial [tex]x^2[/tex] + 10x + c, we need to complete the table and observe the entries in the second column. Since the first column represents [tex]x^2[/tex], we can see that each entry is [tex]x^2[/tex]. Thus, the missing entries in the second column are x, x, x, x, x, respectively.
The perfect square trinomial [tex]x^2[/tex] + 10x + c can be factored as [tex](x + 5)^2[/tex], which expands to [tex]x^2[/tex] + 10x + 25. Comparing this with the given expression, we can conclude that c = 25.
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find the length of the darkened arc. (leave answer in terms of pi)
The solution is:
Length of the darkened part of the arc = 4π
Solution:
Radius of the circle = 8
Circumference of the circle = 2πr
= 2 × π × 8
Circumference of the circle = 16π
Equal number of parts = 4
Total degree of circle = 360°
Degree of the darkened part = 360°/4 = 90°
Arc length = 16π * 90°/360°
= 16π * 1/4
= 4π
Circumference = 16π
Length of the darkened part of the arc = 4π
Hence, The solution is:
Length of the darkened part of the arc = 4π
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ill give brainliest to whoever answers first and gets right
The length of the segment UV = 10 units.
Given that a triangle VST, where ST is parallel to RU,
We need to find the segment UV,
According to the segment addition law,
VS = VR + RS
So,
66 = VR + 44
VR = 22
Now using the Thales theorem,
VR / RS = VU / UT
22 / 44 = VU / 20
1/2 = VU/20
VU = 10
Hence the length of the segment UV = 10 units.
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11% of the population is 65 or older. Find the probability that the following number of persons selected at random from 25 people are 65 or older. The probability that at least 3 are 65 or older is
The probability that at least 3 out of 25 people selected at random are 65 or older can be found using binomial probability.
The answer to the problem is 0.583, or 58.3% rounded to one decimal place. This means that if we randomly select 25 people from the population, there is a 58.3% chance that at least 3 of them will be 65 or older.
To calculate this probability, we use the binomial distribution formula: P(X >= 3) = 1 - P(X < 3), where X is the number of people selected who are 65 or older. Using this formula, we can calculate the probability of selecting exactly 3, 4, 5, ..., 25 people who are 65 or older and sum them up. Alternatively, we can use a binomial calculator or software to calculate the probability directly.
The binomial probability formula is P(X = k) = C(n, k) * p^k * (1-p)^(n-k), where n is the sample size (25), k is the number of successes (i.e., people who are 65 or older), p is the probability of success (0.11), and C(n, k) is the binomial coefficient (i.e., the number of ways to select k items out of n). We need to sum up the probabilities for k = 3, 4, 5, ..., 25 to get the probability of at least 3 successes. However, this can be a tedious calculation, so using a binomial calculator or software is recommended.
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PLEASE HELP!!!! WILL MARK BRAINLYIST!!!!
What do you know about the trigonometric ratios for similar triangles?
Trigonometric ratios for similar triangles are mathematically established relationships used to solve for missing sides or angles as the ratio of corresponding sides are the same for all similar triangles.
TRIGONOMETRIC RATIOS
Trigonometric ratios for similar triangles include the sine , cosine and tangent relationships.
The sine is the ratio of opposite and hypotenuse side of a triangle
The cosine is the ratio of the adjacent and hypotenuse side of the triangle
The tangent is the ratio of the opposite and adjacent sides of the triangle.
Hence , the sine , cosine and tangent relationships are essential trigonometric ratios of similar triangles .
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If y is a real number greater than 1, which of the following must be true for the value of y-2?
The value of y-2 is less than 0.
The value of y is between 0 and 1.
The value of y-2 is 1.
The value of y-2 is greater than 1.
Answer:
The answer would be
y-2 greater than one
Step-by-step explanation:
y>1
y=2,3,4,5.....
y-2=0,1,2,3...
Dwayne has collected data on the number of occupants of cars travelling on the road past his house for the past week. Based on this data, he has constructed a probability model for the number of occupants of a randomly-selected car on his street. Which of the following could be his model?
Chart..
Prob.
0.5
0.25
0.15
0.06
0.04
Based on the given chart, Dwayne has constructed a probability model for the number of occupants of a randomly-selected car on his street. The chart shows the probabilities of different numbers of occupants in a car. These probabilities add up to 1, as the number of occupants in a car can only be one of the given possibilities.
The chart shows that the most likely number of occupants in a car is 1, with a probability of 0.5. This means that half of the cars on the street have only one person in them. The second most likely possibility is 2 occupants in a car, with a probability of 0.25. This means that one-quarter of the cars have two people in them. The probabilities for 3, 4, and 5 occupants are progressively lower, with probabilities of 0.15, 0.06, and 0.04, respectively.
Therefore, Dwayne's model is a discrete probability distribution, where the possible outcomes are the number of occupants in a car, and the probabilities of each outcome are given by the chart. This model is based on the data that Dwayne collected on the number of occupants of cars travelling on the road past his house for the past week. The model can be used to predict the likelihood of different numbers of occupants in a car on Dwayne's street.
Dwayne's probability model for the number of occupants in a randomly-selected car on his street can be represented by the given chart. The chart shows the probabilities for different numbers of occupants:
1. Probability of 1 occupant: 0.5 (50%)
2. Probability of 2 occupants: 0.25 (25%)
3. Probability of 3 occupants: 0.15 (15%)
4. Probability of 4 occupants: 0.06 (6%)
5. Probability of 5 occupants: 0.04 (4%)
To confirm that this is a valid probability model, we need to ensure that the sum of all probabilities is equal to 1:
0.5 + 0.25 + 0.15 + 0.06 + 0.04 = 1
Since the sum is 1, the chart represents a valid probability model for the number of occupants in a car on Dwayne's street. This model can be used to make predictions about the number of occupants in future cars passing by Dwayne's house, based on the data he collected during the past week.
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Pls help me on both step by step preferably
(2) The value of x in the equation (x-16)²= 9 is 19.
(4) The equation of the circle of radius 5 is x²+y²+6x-2y = 15.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
(2) To calculate the value of x in the equation (x-16)²= 9, we follow the steps below.
Step1: Find the square root of both sides of the equation
√(x-16)²= √9(x-16) = 3Stop1: Collect like terms
x = 3+16x = 19(4) To calculate the equation of the circle, we use the formula below
Formula:
(x-a)²+(y-b)² = r²................... Equation 1Where:
r = Radius of the circle = 5a = -3b = 1Substitute these values into equation 1
(x+3)²+(y-1)² = 5²x²+6x+9+y²-2y+1 = 25x²+y²+6x-2y+10 = 25x²+y²+6x-2y = 25-10x²+y²+6x-2y = 15Learn about equation here: https://brainly.com/question/17145398
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500 to the square root of 5?
Which kind of particles can move from the atom and influence magnetism?
electrons
protons
neutrons
Answer: Electrons
Step-by-step explanation:
The base of a right triangular prism is right angle triangle if the height of the prism is 12 cm and the longer side of the base is 5 cm while the shortest side is 3 cm then find A)The lateral surface area B)The total surface area
Answer:
A) 144 cm²;B) 156 cm².-------------------------------
The base is a right triangle with shortest side of 3 cm and hypotenuse of 5 cm.
Then, according to Pythagorean Theorem, its longer leg is:
[tex]\sqrt{5^2-3^2} =\sqrt{25-9} =\sqrt{16}=4 \cm[/tex] Part AFind the lateral surface area:
LSR = Ph = (3 + 4 + 5)*12 = 12*12 = 144 cm²Part BFind the area of two triangle bases:
A = 2*(1/2)bh = 3*4 = 12 cm²Find the total surface area by adding up base area and lateral surface area:
TSA = 12 + 144 = 156 cm²How to do this question?
The value of the radical expression x² + 1/x² when x = 9 - 4√5 is 322
Evaluating the radical expressionFrom the question, we have the following parameters that can be used in our computation:
x = 9 - 4√5
The expression is given as
x² + 1/x²
When simplified, we have
x² + 1/x² = (x⁴ + 1)/x²
Substitute x = 9 - 4√5 in the above equation, so, we have the following representation
x² + 1/x² = ((9 - 4√5)⁴ + 1)/(9 - 4√5)²
When evaluated, we have
x² + 1/x² = 322
Hence, the value of the expression x² + 1/x² when x = 9 - 4√5 is 322
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PLEASE HELP I AM GROUNDED AND DONT UNDERSTAND
Answer: 35
Step-by-step explanation: interior angles add up to 180
because the outside angle is 125, we can subtract 125 from 180 because a straight line is also 180 degrees, which gives us 55
so for the interior angles, we now have 55 and 90 (because the top angle is a perfect right angle)
so 180-55-90= 35
Answer:
x=35 degrees
Step-by-step explanation:
The 125 degree angle and the angle right next to it (inside the triangle) add up to 180.
180-125 = 55 degrees.
All 3 inside (interior) angles of a triangle = 180.
So we know that top angle = 90 degrees. (That little square means that it's a 90 degree right triangle.)
And that bottom right angle is 55 degrees.
So we just need to find x.
180 = x+ 55 + 90
180 = x + 145
180-145 = x
35 = x
So x = 35 degrees.
Check that everything adds up: 35+90+55 = 180
I'm sorry you are grounded :(
Find the total surface area.
The total surface area is 640.56 in².
We have,
The TSA (Total Surface Area) of a cone is given by the formula:
TSA = πr² + πrℓ
Now,
We see that,
There are two cones so we find the TSA for both the cones and add them up to get the TSA.
So,
Cone 1:
r = 6 in
l² = r² + h²
l² = 36 + 64
l² = 100
l = 10
So,
TSA = πr² + πrℓ
= 3.14 x 36 + 3.14 x 6 x 10
= 113.04 + 188.4
= 301.44 in²
Cone 2:
r = 6 in
l = 12 in
TSA = πr² + πrℓ
= 3.14 x 6 x 6 + 3.14 x 6 x 12
= 113.04 + 226.08
= 339.12 in²
Now,
Total surface area.
= 301.44 + 339.12
= 640.56 in²
Thus,
The total surface area is 640.56 in².
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Help me solve this please
The segment lengths on the similar triangles are given as follows:
SU = 7.YZ = 3.What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.The proportional relationship for the side lengths in this triangle is given as follows:
SU/5.25 = 4/3 = 5/YZ
Hence the length SU is obtained as follows:
SU/5.25 = 4/3
SU = 5.25 x 4/3
SU = 7.
The length YZ is obtained as follows:
5/3 = 5/YZ
YZ = 5 x 3/5
YZ = 3.
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HELP ASAP Which points are on the graph of the function rule ƒ(x) = 10 – 4x?
a. (18, –2), (10, 0), (2, 2)
b. ( –18, 2), ( –10, 0), ( –2, –2)
c.(–2, 18), (0, 10), (2, 2)
d. (2, –18), (0, –10), ( –2, –2)
If f(x) = 10 - 4x...
f(18) = 10 - 4(18) = 10 - 72 = -62 ≠ -2
This rules out answer a, since (18,-62) would be a point, not (18,-2).
f(-18) = 10 - 4(-18) = 10 + 72 = 82 ≠ -2
This rules out answer b, since (-18,82) would be a point, not (-18,2).
f(-2) = 10 - 4(-2) = 10 + 8 = 18
Answer c seems to be ok so far, since (-2,18) is a point in answer c.
f(2) = 10 - 4(2) = 10 - 8 = 2 ≠ =18
This rules out answer d, since (2,2) would be a point, not (2,-18).
The only answer that wasn't ruled out by check the first point in each answer is answer C.
The sine and cosine curves y = a sin (kx) and y = a cos(kx), k > 0 have amplitude and period The sine curve y = 2 sin(2x) has amplitude and period
The sine and cosine curves y = a sin(kx) and y = a cos(kx), k > 0 have amplitude a and period 2π/k. The sine curve y = 2 sin(2x) has amplitude 2 and period π.
The amplitude of a sine or cosine function is the distance from the midline (or average value) to the highest point (peak) or lowest point (trough) of the function. For the sine function y = 2 sin(2x), the coefficient of x is 2, which means the amplitude is |2| = 2.
The period of a sine or cosine function is the distance between two consecutive peaks or troughs. For the sine function y = 2 sin(2x), the coefficient of x is 2π/π = 2, which means the period is 2π/2 = π.
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