Therefore, The length of the hollow cylindrical pipe is approximately 55.48 meters.
To solve this problem, we will first find the volume of the solid iron rectangular block and then use it to find the length of the hollow cylindrical pipe. Here are the steps:
1. Find the volume of the rectangular block:
Volume = Length × Width × Height
Volume = 3.5m × 2.4m × 2m = 16.8 m³
2. Convert the internal radius and thickness to meters:
Internal radius = 27 cm = 0.27 m
Thickness = 4 cm = 0.04 m
3. Calculate the external radius of the pipe:
External radius = Internal radius + Thickness
External radius = 0.27m + 0.04m = 0.31m
4. Let L be the length of the pipe. We can write the volume of the hollow pipe as:
Volume = π × (External radius² - Internal radius²) × Length
16.8 m³ = π × (0.31² - 0.27²) × L
5. Solve for L:
L = 16.8 m³ / [π × (0.31² - 0.27²)]
L ≈ 55.48 meters
Therefore, The length of the hollow cylindrical pipe is approximately 55.48 meters.
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3x + 3 = 3(x + 1)
Does this have infinite solutions?
Answer:
Yes, it has infinite solutions
Step-by-step explanation:
3 ( x + 1 )
= 3 ( x ) + 3 ( 1 )
= 3x + 3
3x + 3 = 3x + 3
Any number can substituted for x.
Answer: Yes
Step-by-step explanation: First, distribute 3(x+1), which is 3x+3. Then we have 3x+3=3x+3, which is the same thing.
hope this helps!
please give brainliest!
Which expression is equivalent to: 4x - 2 + 6x
a- 10x - 2
b- 2x - 2
C- - 2x - 2
d- 24x - 2
Answer:
a. 10x - 2
Step-by-step explanation:
4x - 2 +6x ( collect like terms )
4x +6x - 2
10x - 2
4= -2(x-2) +4 please help I’ll give you points!
4 = -2(x-2) + 4
or, 4 = -2x + 4 + 4
or, 4 = -2x + 8
or, 4 - 8 = -2x
or, -4 = -2x
or, -4/-2 = x
or, 2 = x
Answer:The value of x is 2.
Answer:
x = 1
Step-by-step explanation:
4 = -2( x - 2) + 4
4 = -2x - (-2) +4
4 = -2x + 2 + 4
4 = -2x + 6
4 - 6 = -2
6 - 6 = 0
-2 = -2x
x = 1
hopefully this helps you get it right and if it does pls mark as brainlest ( it really helps if you do). :)
36 minus 5 x equals 7 x plus 48
Answer:
\(\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\)
\(36 - 5x = 7x + 48 \\ 36 - 48 = 7x + 5x \\ - 12 = 12x \\ \frac{ - 12}{12} = x \\ 1 = x\)
✏ The value of x is 1.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
\( \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}\)
Sahil has a fish tank in the shape of a cuboid, as shown in the diagram
Answer:
12
bcz he can't put a 0.725 fish so it will be rounded up back to 12
The greatest number of neon tetra fish he puts in the tank is 12.
What is cuboid?A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.
Given:
Sahil has a fish tank in the shape of a cuboid, as shown in the diagram.
The tank is 55 cm wide, 28 cm long and height is 33 cm.
And the surface of the water in the tank is 3 cm below the top of the tank.
That means,
to determine the volume,
So, the volume of cuboid
= 55 x 28 x 33
= 50820 cubic centimeters.
And we know 1000 cubic centimeters is 1 liter of water.
So, 50820 = 50.820
And divide by 4
We get the greatest number of neon tetra fish he puts in the tank.
50.820 / 4
= 12.705
≈ 12
Therefore, 12 is the required number for neon tetra fish.
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Need help asap please. Find the constant of variation, k, for y=-8 when x=12 show work
The constant variation (k) is \(-\frac{2}{3}\) .
What is constant variation ?The link between the independent (x) and dependent (y) variables is shown by a constant of variation. A continuous relationship between the variables indicates to the user that there is one; it does not alter regardless of how the scenario changes.It can be employed to ascertain how the dependent variable will alter in response to changes in the independent variable. For instance, if a person drives continuously at the same speed, they could calculate their distance by multiplying the number of hours they spent driving by the speed they were traveling at. In this instance, the speed is the constant because it remained constant regardless of how long or how far they traveled during the drive.From given details :
x = 12 & y = -8
we can find k when given any point by dividing the y-coordinate by the x-coordinate.
For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3
So, k = y / x = 12 / -8 = \(-\frac{2}{3}\)
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PLEASE HELP ASAP!!! I NEED HELP WITH THESE 3 QUESTIONS!! THANK YOU!
Answer:
the 1 one is mkl
2nd one is 4
Step-by-step explanation:
The figure below shows part of a circle, with central angle as marked. What
part of the full circle does the figure represent? Express your answer as a
fraction in simplest terms.
The figure given in the problem represents 1/4 of the full circle. So, the answer is 1/4.
Here's how we can arrive at that conclusion: We know that a circle has 360 degrees, and the angle given in the figure is a central angle that spans across one of the quarters of the circle.
Since we have four equal parts in a full circle, each quarter must have an angle measure of 360 degrees / 4 = 90 degrees. Therefore, the central angle in the figure represents an angle measure of 90 degrees, which is equivalent to one-quarter of the full circle. Hence, the answer is 1/4.
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An airplane flies 370 miles from point A to point B with a bearing of 24" . It then flies 240 miles from point B to point € with a bearing 0f 37" Draw diagram of the information. Then find the distance from point A to point C and the bearing from point A to point C
The distance from point A to point C and the bearing from point A to point C is 229.5 miles.
Given that:
AB = 370 miles
angle A = 24 degrees
BC = 240 miles
angle B = 37 degrees
To determine the distance from point A to C, we can use the cosine law since we are given two angles and two sides of a regular triangle.
The angle opposite side AC is angle B which is equal to 37 degrees.
(AC)^2 =(AB)^2 + (BC)^2 - 2(AB)(BC)cos(B)
Now we have to solve for AC:
(AC)^2 =(370)^2 + (240)^2 - 2(370)(240)cos(37)
AC = 229.48 miles.
Hence the answer is, the distance from point A to point C and the bearing from point A to point C is 229.5 miles.
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Identify the properties of the graph of the following. Sketch the graph with the use of Reflective Point:
1. y=(x-5)²+4
2. y=2x²+8x+5
Therefore , the solution of the given problem of graph comes out to be (0,29) and (0,5).
Explain graph.Graphs are used by academics to logically depict or chart events or values visually. A graph point often depicts the relationship between two or more things. The non-linear storage structure known as a graph is made up of nodes, often referred to as vertices, and edges. Glue ought to be used to join the nodes, also known as vertices. In this graph, the vertex numbers are 1, 2, 3, or 5, whereas the edge numbers were 1, 2, 1, 3, 2, 4, etc (2.5). (3.5). (4.5). (4.5). graphics that graphically represent exponential growth in statistical diagrams like line graphs, charts, and bar graphs. a logarithmic graph with a triangle form
Here,
Given :
=> y=(x-5)²+4
So,
x =0
then y value :
=> y = (0-5)² +4
=> y = 25 +4
=> y = 29
=> (0,29)
and
=> y=2x²+8x+5
So,
x = 0 ,
then y value :
=> y = 2(0)² + 8(0) + 5
=> y = 5
=> (0,5)
Therefore , the solution of the given problem of graph comes out to be (0,29) and (0,5).
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Suppose you have a job that pays $13.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable I, that gives the amount of money, y, you will earn for working 2 hours in one week. y = _____ , Preview with ____ <= x <= ____ b. Use the function rule you have written in part a. to find the y values for the given z values: x = 10, y = ___ x = 20, y= ___
x = 30, y = ____. x = 40, y = ____ c. Construct a line graph from the information found in b. 520+ -480+ 440+ 400- 360 320- 280- 240 200 160+ 120+ 80- 40+ 10 20 30 40 Clear All Draw: Line Dot Open Dot d. State the domain and range of this function. Domain: ____ <= x <= ______
Range: <= y <= _____
e. What is the minimum amount you can earn in a week with this job? You'll earn at least $ ______.
What is the maximum amount? You can earn up to $ ____.
The maximum amount you can earn is $540
a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.
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The coordinates of the vertices of
trapezoid ABCD are A (2, 6), B (5, 6).
C (7, 1). and D (−1, 1). The coordinates of the vertices of trapezoid A'B'C'D'a
A' (-6, -2). B' (-6, -5).C' (-1, -7). and D' (-1, 1).
Which statement correctly describes the relationship between
trapezoid ABCD and
trapezoid A'B'C' D'
Answer:
shi ion even know
Step-by-step explanation:
good luck tho
can some body help me
Answer: 9
Step-by-step explanation:
Let random variable S represent the age of the attendees at a local concert. The following histogram shows the probability distribution of the random variable S.
Alfonso claims that the distribution of S is symmetric with a mean age of 36. Does the histogram support Alfonso's claim?
The histogram doesn't support Alfonso's claim and the correct option is 5: No, the distribution is skewed to the left with a mean age greater than 36.
What is a histogram?
A histogram is a graphic depiction of a frequency distribution with continuous classes that has been grouped. A series of rectangles with bases equal to the distances between class boundaries and areas proportional to frequencies in the associated classes make up the area diagram.
Consider the given histogram at the photo below. It is an left-skew histogram, since it has a long tail to the left side.
We need to estimate the mean of the given data. To do so, we need to multiply each class midpoint with its probability, and sum them.
For example, for the first one, the midpoint is 32 and the probability is 0.03 (read the value on the y-axis). For, the second one, the midpoint is 33 and the probability is 0.04, for the third the midpoint is 34 and the probability is 0.05, and so on. All needed values are presented below.
1. midpoint = 32, probability= 0.03
2. midpoint = 33, probability = 0.04
3. midpoint = 34, probability = 0.05
4. midpoint = 35, probability = 0.1
5. midpoint = 36, probability =0.11
6. midpoint = 37, probability = 0.13
7. midpoint = 38, probability = 0.2
8. midpoint = 39, probability = 0.09
So, it is obtained that -
μ = 0.03 · 32 + 0.04 · 33 + 0.05 · 34 + 0.10 · 35 + 0.11 · 36 + 0.13 · 37 + 0.25 · 38 + 0.20 · 39 + 0.09 · 40
μ = 37.15
Therefore, this histogram is left-skewed with mean greater than 36.
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Pleas help I need to pass
Answer:
?
Step-by-step explanation:
the domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which of the following describes the domain of (g circle f) (x)
Answer:
its -3
Step-by-step explanation:
edge
What are the coordinates of the vertex of the graph of f (x)=2x - 3|?
Answer:
\((\frac 32, 0)\)
Step-by-step explanation:
I'm assuming that there was a | at the beginning so it's \(f(x) = |2x-3|\). With this kind of plots you get angular points where the graph of the "original" function - ie the one without the absolute value - would cross the x-axis. In this case, when \(2x-3 = 0 \rightarrow x= \frac32\)
Values that are computed from a complete census, which are considered to be precise and valid measures of the population, are referred to as:
Parameters are the values that are computed from a complete census, which are considered to be precise and valid measures of the population. So, option(b) is right one.
In statistics, a population parameter is a number that identifies an entire group of people or population. This should not be confused with arguments in other forms of mathematics that refer to values that remain constant for a mathematical function. Note that the population parameter is not a statistic, it refers to data for a sample or group of the population. With good research, we can get statistics that accurately estimate the population. Statistics is a numerical measure described with sample data. Therefore, the parameter is a numerical description of the characteristic of population.
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Complete question:
Values that are computed from a complete census, which are considered to be precise and valid measures of the population, are referred to as:
a) statistic
b) parameters
please help me this question
Step-by-step explanation:
Please mark me as the brainliest answer
Answer:
x^3 - 7x^2 + 72
Step-by-step explanation:
you just subtract both equations
39. Senate Committee The U.S. Senate Committee on Homeland Security and Governmental Affairs has 15 members. Two members are chosen to serve as the committee chair and the ranking member. Each committee member is equally likely to serve in either of these positions. What is the probability of randomly selecting the chair and the ranking member
The probability of randomly selecting the chair and the ranking member is 1/105 or approximately 0.0095.
There are 15 members of the Senate Committee on Homeland Security and Governmental Affairs, two of whom are selected to serve as the committee chair and ranking member. Each member is equally likely to be chosen for either of these positions.
To begin, we must first determine the total number of ways two members can be selected from a committee of 15. This is calculated using the combination formula:
nCr = (n!)/((r!)(n-r)!)where n = 15 and r = 2.
Thus,
nC2 = (15!)/((2!)(15-2)!)
nC2 = (15x14)/(2x1)nC2
= 105
Now we must determine the probability of selecting one member to be the committee chair and the other to be the ranking member.
This is calculated as follows: P = 1/105 or approximately 0.0095. Hence, the probability of randomly selecting the chair and ranking member is 1/105 or approximately 0.0095.
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There are two squares. the perimeter of square x is half the perimeter of square y.
how do the areas of the two squares compare?
o a. the area of square x is one-sixteenth the area of square y.
o b. the area of square x is one-eighth the area of square y.
oc. the area of square x is one-fourth the area of square y.
d. the area of square x is one-half the area of square y.
The area of square x will be one-fourth of the area of square y. Then the correct option is C.
What is a square?It is a polygon with four sides. The total interior angle is 360 degrees. A square's opposite sides are parallel and all sides are equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
There are two squares.
The perimeter of square x is half the perimeter of square y.
Let the side of the square x be a and the side length of the square y be b. Then we have
Perimeter x = Perimeter y / 2
4a = 2b
2a = b
Then the area of the square x will be
Area of square x = (2a)²
Area of square x = 4a²
Then the area of the square y will be
Area of square x = (b)²
Area of square x = b²
Then the area of square x will be one-fourth of the area of square y.
Thus, the correct option is C.
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ill offer 50 points plus 30 points for all of this
Answer:
0.64 Fraction: 16/25 Percent: 64%
55% Fraction: 11/20 Decimal: 0.55
0.16 Fraction: 4/25 Percent: 16%
17/100 Decimal: 0.17 Percent: 17%
0.35 Fraction: 7/20 Percent: 35%
28% Fraction: 7/25 Decimal: 0.28
62.5% Fraction: 5/8 Decimal: 0.625
Step-by-step explanation:
Answer:
0.64 Fraction: 16/25 Percent: 64%
55% Fraction: 11/20 Decimal: 0.55
0.16 Fraction: 4/25 Percent: 16%
17/100 Decimal: 0.17 Percent: 17%
0.35 Fraction: 7/20 Percent: 35%
28% Fraction: 7/25 Decimal: 0.28
62.5% Fraction: 5/8 Decimal: 0.625
Step-by-step explanation:
Can you simplify the product of the radical expressions? Explain.
b. √5/-5 . √5/-2
The product (√5/-5) * (√5/-2) simplifies to 1/2.
To simplify the product of the radical expressions √5/-5 and √5/-2, we can apply the rule of multiplying radicals.
√5/-5 can be written as (√5)/(-5) and √5/-2 can be written as (√5)/(-2).
When multiplying these two expressions, we multiply the numerators together and the denominators together:
(√5)/(-5) * (√5)/(-2) = (√5 * √5) / (-5 * -2)
The product of (√5 * √5) simplifies to 5 because the square root of 5 multiplied by itself gives us 5.
The product of (-5 * -2) simplifies to 10 because the product of two negative numbers is positive.
So, the simplified product of the given radical expressions is:
5 / 10 = 1/2
Therefore, the product (√5/-5) * (√5/-2) simplifies to 1/2.
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-6x+8y-10x-8y
Show and explain work
Answer:
Simplify the expression.
−16x
Step-by-step explanation:
Write a linear equation from the graph.
Malik is making a scale drawing for his architecture class he is using the scale 1in =8ft if the building in the drawing is 9 inches how tall will the actual building be
I don’t understand this question! Please help me find the answer they are compound shapes
The area of the shaded region in this problem is given as follows:
995.44 cm².
How to calculate the area of a circle?The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:
A = πr²
The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is given as follows:
r = 21 cm.
Then the area of the entire circle is given as follows:
A = π x 21²
A = 1385.44 cm².
The right triangle has two sides of length 39 cm and 20 cm, hence it's area is given as follows:
A = 0.5 x 39 x 10
A = 390 cm².
Then the area of the shaded region is given as follows:
1385.44 - 390 = 995.44 cm².
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What is the value of
-7 3/5+ -5 4/7
Answer:
-13 6/35
Step-by-step explanation:
if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?
If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120
The number q is an odd number
The median of q consecutive integers = 120
Consider the q = 3
Then three consecutive integers will be 119, 120, 121
The largest number = 121
Substitute the value of q in each options
Option A
(q-1) / 2 + 120
Substitute the value of q
(3-1)/2 + 120
Subtract the terms
=2/2 + 120
Divide the terms
= 1 + 120
= 121
Therefore, largest of these integers is (q-1) / 2 + 120
I have answered the question in general, as the given question is incomplete
The complete question is
if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?
a) (q-1) / 2 + 120
b) q/2 + 119
c) q/2 + 120
d) (q+119)/2
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Which set of ordered pairs below is a function?