Answer:
(a) 452 m²
Step-by-step explanation:
The lateral area of a cylinder is given by the formula ...
A = 2πrh . . . . radius r, height h
__
The given tube has an outside (or inside) area of ...
A = 2(3.14)(5 m)(14.4 m) = (3.14)(144 m²) ≈ 452 m²
Each curved surface of the tube has an area of about 452 m².
2. A sphere has a great circle whose circumference is 95 centimeters. Which of the following is closest to the
volume of the sphere, in cubic centimeters?
1) 4,600
(3) 12,700
2) 7,500
(4) 14,500
Answer:
Approximately [tex]14,\!500\; {\rm cm^{3}}[/tex].
Step-by-step explanation:
The radius of a sphere is the same as the radius of the great circle of that sphere.
Thus, in this question, it would be possible to find the radius of the sphere by finding the radius of the great circle.
The circumference of a circle of radius [tex]r[/tex] is [tex]2\, \pi \, r[/tex]. In this question, it is given that the circumference of this great circle is [tex]95\; {\rm cm}[/tex]. Thus, the radius of this great circle would be:
[tex]\begin{aligned}r &= \frac{95\; {\rm cm}}{2\, \pi} \approx 15.1197\; {\rm cm}\end{aligned}[/tex].
Thus, radius of the sphere in this question would also be approximately [tex]15.1197\; {\rm cm}[/tex].
The volume of a sphere of radius [tex]r[/tex] is [tex](4/3)\, \pi\, r^{3}[/tex]. Thus, the volume of this sphere of radius [tex]r = 15.1197\; {\rm cm}[/tex] would be approximately:
[tex]\begin{aligned}\frac{4}{3} \, \pi\times (15.1197\; {\rm cm})^{3} \approx 14,\!500 \; {\rm cm^{3}}\end{aligned}[/tex]
Write a 2nd degree equation whose solutions are 5+✓(11) and 5-✓(11)
Answer:
For each object, choose an appropriate scale for a drawing that fits on a regular sheet of paper. Not all of the scales on the list will be used.
Step-by-step explanation:
A mean weight of 2.2 pounds is computed for a random sample of 50 catfish from a lake.
What can you infer from this random sample?
A)You infer that the mean weight of all catfish is close to 2.2 pounds.
B)You infer that the mean weight of all catfish is exactly to 2.2 pounds.
C)You infer that the mean weight of catfish in the lake is close to 2.2 pounds.
D)You infer that the mean weight of catfish in the lake is exactly to 2.2 pounds.
Answer:
C)
Step-by-step explanation:
It can't be A or B because the samples from 50 fish definitely wouldn't be equal to ALL the fish ever.
And it (more so) can't be D because you are finding the mean. that means that some catfish could weight 1 pound, and another could weigh 4, they would just cancel out.
That leaves C) with the only plausible answer.
Write a probability model for this experiment , and use the probability model to predict how many times Stacey would spin a 6 if she spun 50 times. Give the probabilities as decimals, rounded to 2 decimal places
The value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Consider getting a 6 as a success. In this example, the chance of getting a 6 in a single spin is 1/6. The number of 6s in 50 spins can be considered a binomial random variable. Then, if X is the number of trials, we receive a score of 6 out of 50. Then there's the model below.
[tex]\rm P(X = k) = \binom{50}{K}\binom{1}{6}^k\binom{5}{6}^{50-k}[/tex]
From the binomial random variable of n trials with a probability of success of p.
We will have, n = 50, p = 1/6
Number of times Stacey would spin a 6 = 8.33
Thus, the value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.
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If ' x - 1/x = 4, then x² + 1/x² =
Answer:
82/9
Step-by-step explanation:
x - 1/x = 4
x - 1 = 4x
-1 = 3x
- 1/3 = x
from there just substitute in x for x² + 1/x² to get:
82/9 or 9.1 recurring
Which of the following expressions is true?
2^4•2^4>2^7
3^2•3^6=3^7
4^3•4^5<4^8
5^2•5^3=5^6
Answer:
2^4•2^4>2^7
Step-by-step explanation:
Hope it helps you in your learning process.
Write the word sentence as an equation. Then solve.
The product of 15 and a number x is −75
Why is apr an important tool for consumers
Answer:
APR, or annual percentage rate, is your interest rate stated as a yearly rate. An APR for a loan can include fees you may be charged, like origination fees. APR is important because it can give you a good idea of how much you'll pay to take out a loan.
Help on this math a s a p if possible
Answer:
Mean - 17.222222222222
Median - 17
Mode - 12
Step-by-step explanation:
lets arrange this is least to greatest.
2, 4, 12, 12, 17, 18, 28, 29, 33
to find the mean(even though you dont need it), you add all the numbers up and devide by the amount of numbers.
so -> 2 + 4 + 12 + 12 + 17 + 18 + 28 + 29 + 33 = 155
and there are 9 numbers, so 155 / 9 = 17.2 and a lot more 2s
to find the median, you arrange from least to greatest vice versa, then find the middle number.
2, 4, 12, 12, 17, 18, 28, 29, 33
the middle number is 17, so the mean is 17
to find the mode, you have to find the number that is most repeated.
2, 4, 12, 12, 17, 18, 28, 29, 33
the number that is repeated the most is 12, so your mode is 12.
Hope this helped!!!
Please Help its a math problem amber has done 3 projects this year in Social Studies and wants a mean project grade of 92. Her first three project grades are 92, 93 and 89. What does she need to make on the fourth project to meet her goal?
Question 5 options:
94
90
95
92
Answer:
a) 94
Step-by-step explanation:
92 + 93 + 89 + 94 = 368/4= 92
Answer:
94
explanation:
because common sense
How do I answer this?
Answer:
I dontknow what ur question is but I think u just have to measure the length of 50 ° on ur protector use a compass
PLEASE< PLEASE
ASAP!!!
WILL GIVE BRAINLIEST!!!
THANKS SO MUCH!!!
Please help........
Answer:
dude do this by your self this is to easy
Write the equation of the line that passes through the points (7,-6) and (-6,2).
Answer:
Here is the ans...hope it helps
Giving brainiest ~ please helpp ^^
hope this helps :)
...........
Answer:
The volume of this composite figure is 312 cubic inches.
Step-by-step explanation:
Volume of pyramid:
[tex] \frac{1}{3} ( {6}^{2} )(5) = \frac{1}{3} (36)(5) = \frac{1}{3} (180) = 60[/tex]
Volume of rectangular prism:
[tex]12(3)(7) = 252[/tex]
Volume of composite figure:
[tex]60 + 252 = 312[/tex]
If the hypotenuse of the triangle below is 8√2, what is the leg?
Answer:
8
Step-by-step explanation:
The side lengths of this special right triangle is as follows:
The side length that sees angle measure 90 (hypotenuse) is represented with x[tex]\sqrt{2}[/tex]
and
the side length that sees angle measures 45 (the legs) is represented with x
hypotenuse is given as 8[tex]\sqrt{2}[/tex] so we can easily find the value of x and legs in this case
x = 8
please help w this question!!!
Answer:
72
Step-by-step explanation:
The two right triangles are congruent by the HA congruence theorem, so corresponding sides have the same length.
QR = QT
3p = p +48 . . . . . . substitute the given measure expressions
2p = 48 . . . . . . . subtract p
p = 24 . . . . . . . divide by 2
QT = p +48 = 24 +48 . . . . . use the value of p in the expression for QT
QT = 72
Find the height of a cylinder with a volumeof 475pie cubic meteresand radius 5 meters
The height of the cylinder is 19 meters if the volume of 475pie cubic meters and the radius is 5 meters.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
We have a volume of the cylinder:
V = 475π cubic meter
The radius r = 5 meters
475π = π(5)²h
h = 19 meters
Thus, the height of the cylinder is 19 meters if the volume of 475pie cubic meters and the radius is 5 meters.
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Illustrate on a number line the solution set of each pair of simultaneous inequalities. x>-2;-4 <x <2
The intersection region will be between -2 <x <2 or x ∈ (-2, 2) if the two inequalities are x>-2 and -4 <x <2
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have two inequalities:
x>-2 and
-4 <x <2
or
x ∈ ( -2, ∞) and x ∈ (-4, 2)
The intersection region will be(from the graph)
x ∈ (-2, 2)
Thus, the intersection region will be between -2 <x <2 or x ∈ (-2, 2) if the two inequalities are x>-2 and -4 <x <2
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Which graph represents f of x equals square root of the quantity x plus 3 end quantity minus 2?
The graph shows a curve with an end point at 2 comma 3 that increasing to the right
The graph shows a curve with an end point at 3 comma 2 that increasing to the right
The graph shows a curve with an end point at negative 3 comma negative 2 that increasing to the right
The graph shows a curve with an end point at negative 2 comma negative 3 that increasing to the right
The obtained graph is having is passes though the point (0,3.74 )on y-axis and (123,0) on the x-axis. None of the option is correct.
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
The given equation of the function is;
[tex]y = -(x+2)^{1/3}+5[/tex]
Hence,the obtained graph is having is passes though the point (0,3.74 )on y-axis and (123,0) on the x-axis.
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Answer:
The function f(x) = sqrt(x - 2) + 3 represents a square root function that is shifted 2 units to the right and 3 units up from the parent function f(x) = sqrt(x).
The endpoint of the function occurs when the radicand (x - 2) is equal to zero, which means x = 2. So, the function has an endpoint at (2, 3).
Since the function involves a square root, the value of y cannot be negative. Therefore, the function is increasing to the right.
The correct graph that represents the function f(x) = sqrt(x - 2) + 3 is the one that shows a curve with an endpoint at (2, 3) that increases to the right.
Therefore, the answer is: The graph shows a curve with an endpoint at 2 comma 3 that increases to the right. A.
Simone travels 90 miles at an average speed of 40 mph.
She then travels a further 30 miles.
The average speed for the entire journey is 43 mph.
Assuming Simone didn't stop, what was her average speed for the final 30 miles to 2 dp?
Using the relation between velocity, distance and time, it is found that her average speed for the final 30 miles is of 55.56 mph.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
Simone travels 90 miles at an average speed of 40 mph, hence the time is given by:
[tex]t_1 = \frac{90}{40} = 2.25[/tex]
She then travels a further 30 miles, with an average speed for the journey of 43 mph. Hence, she traveled 90 + 30 = 120 miles, and the total time is given by:
[tex]t = \frac{120}{43} = 2.79[/tex]
Hence, in the second part, she traveled 30 miles in 2.79 - 2.25 = 0.54 hours, so the velocity is given by:
[tex]v = \frac{d}{t} = \frac{30}{0.54} = 55.56[/tex]
Her average speed for the final 30 miles is of 55.56 mph.
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hey so I'm a 15 year old in Geometry HN and I have my SOL tomorrow, (baisaclly state testing) I've been stuffy for weeks now yet my brain just can't comprehend ANYTHING! and I'm honestly so frustrated. Could anyone help me with these questions? about circles? I would appreciate if someone gave me a step-by-step process if it isn't to much to ask
Directions: Find X. O represents the center of the circle
Answer:
2: 86
3:64
4: 77
6: 3
7:12
8: O=110 X:110
Step-by-step explanation:
Number 2 shows what is called a central angle. Central Angles are equivalent to the ark length
Number 3 shows an Inscribed angle. These angles are half of the ark but in your question, it is twice the angle measurement
Number 4 you want to divide the ark length by two when the angle is not given. And when the angle is given you want to mutilate by two
Number 6 is Overlapping Ark which means they are both congruent to each other because the ark is equivalent to each other.
Number 7 is x=12 because 5x+12 is twice the measure of 3x
Number 8 o=110 because a circle has 360 degrees so you want to add them up and then subtract that from 360. x is also 110 degrees because it is a central angle, which is the same amount of degrees as the ark length.
Please answer quickly
[tex]\dfrac{4+3\sqrt 5}{4-3\sqrt 5}\\\\\\=\dfrac{\left(4+3\sqrt 5 \right)\left(4+3\sqrt 5 \right)}{\left(4-3\sqrt 5 \right)\left(4+3\sqrt 5 \right)} \\\\\\=\dfrac{\left(4+3\sqrt 5 \right)^2}{4^2 - \left( 3 \sqrt 5 \right)^2}\\\\\\=\dfrac{4^2 + 2\cdot 4 \cdot 3\sqrt 5 + \left( 3\sqrt 5 \right)^2}{16-9\cdot 5}\\\\\\=\dfrac{16+24\sqrt 5 + 45}{16-45}\\\\\\=\dfrac{61+24\sqrt5}{-29}\\\\\\=-\dfrac{61}{29}-\dfrac{24}{29}\sqrt 5\\\\\\=-\left(\dfrac{61}{29}\right) + \left(- \dfrac{24}{29} \right) \sqrt 5[/tex]
[tex]\text{It is now in a form of}~ a+b\sqrt 5~, \text{where}\\ \\a=-\dfrac{61}{29}~~ \text{and}~~ b =- \dfrac{24}{29}[/tex]
The surface areas of two similar solids are 169 m2 and 81 m2. the volume of the larger solid is 124.92 m3. which proportion correctly shows how to solve for the volume of the smaller solid, x? = = = =
By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.
How to get the volume of the smaller solid?If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.
This means that if the areas are 169 m² and 81 m², then we can write:
169 m² = (k²)*81 m²
Solving for k, we get:
k = √(169 m²/81 m²) = 1.44
Then if the volume of the large solid is 124.92m³ we can write:
124.92m³ = k³*V
Replacing k and solving for V we get:
124.92m³ = (1.44)³*V
(124.92m³/ (1.44)³) = V = 86.75 m³
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Answer: Its C
Step-by-step explanation: Just did it
A cylindrical well has a radius of 6 feet and a height of 12 feet. How many cubic feet of water will it take to fill the well?
Assume that π = 3.14 and round to the nearest tenth when necessary.
maybe 1375 cubic feet of water will take to fill the well
Graph and label each figure and it’s image under the given translation. Give the coordinates of the image.
Answer:
New coordinates:
A'(-3, 3)
B'(4, -1)
C'(-2, 0)
Step-by-step explanation:
It tells you (x-3, y-4), which means you have to subtract 3 from every x coordinate, and 4 from every y coordinate.
Hope this helps <3
Answer:
See below ~
Step-by-step explanation:
New coordinates
A' = (0 - 3, 7 - 4) = (-3, 3)B' = (7 - 3, 3 - 4) = (4, -1)C' = (1 - 3, 4 - 4) = (-2, 0)Without considering other forces such as friction what is the net force in this problem?
Answer:
25 N to the left
Step-by-step explanation:
The net force is equal to the differences in magnitudes of the forces acting on it.
Take the left direction to be positive (+) and right direction to be negative (-).
Solving :
Net Force = Force (left) - Force (right)
Net Force = 10 + 20 - 5
Net Force = 30 - 5
Net Force = 25 N to the left
F_net
F1+F2+F310+20-530-525NWhat is the quotient of (x cubed 3 x squared minus 4 x minus 12) divided by (x squared 5 x 6)? x 2 x – 2 x – 8 x 8
The quotient of the given expression is x-2. The correct option is the second option- x – 2
Simplification of fractionsFrom the question, we are to determine the quotient
The given expression is
[tex]\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}[/tex]
The numerator can be expressed as
[tex](x-2)(x^{2} +5x+6)[/tex]
Then, the fraction becomes
[tex]\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}[/tex] = [tex]\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6}[/tex]
Simplifying
[tex]\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6} = x-2[/tex]
Hence, the quotient of the given expression is x-2. The correct option is the second option- x – 2
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Here is the complete and correct question:
What is the quotient of (x cubed + 3 x squared minus 4 x minus 12') divided by (x squared + 5 x + 6)? x + 2 x – 2 x – 8 x + 8
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What does each line on the protractor stand for?
Answer:
There are two sets of degrees going in opposite directions along an arc. The top of the arc shows degrees from 0º to 180º from left to right. The bottom of the arc shows degrees from 180º to 0º from left to right. The smallest "tick marks" along the edge of the protractor represent 1º intervals.
Step-by-step explanation:
Of 400 randomly selected people in the city of lyon, france, 60 people had the first name hugo.
which of these does not represent inferential statistics?
a. 15% of the people who live in france have the first name hugo.
b. 15% of the people who live in europe have the first name hugo.
c. 15% of the people surveyed have the first name hugo.
d. 15% of the people who live in lyon have the first name hugo.
The statement in this problem that does not represent a inferential statistic is given by:
c. 15% of the people surveyed have the first name hugo.
What is an inferential statistic?An inferential statistic is one that makes inference or predictions about a population based on a sample.
In this problem, an inferential statistic is the sample proportion of 15% for the population of Lyon, France or Europe(as Lyon is in France and France in Europe).
In option C, the inference is for the sample and not for any population, hence it is not an inferential statistic.
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use technology to find the solution to the system: 8x - 4y = -24 4x - 12y = -32
The solution to the system of equation 8x -4y = -24, 4x - 12y = -32 is x = 19 / 8 and y = 5 / 4
How to find solution to the system of equation?The solution of the system of equation can be found as follows:
8x -4y = -24
4x - 12y = -32
Multiply equation(ii) by 2
8x - 4y = -24
8x - 36y = -64
32y = 40
y = 40 / 32 = 5 / 4
8x - 4(5 / 4) = -24
8x - 5 = -24
8x = -24 + 5
8x = 19
x = 19 / 8
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