Therefore , the solution of the given problem of algorithm comes out to be when the language L of all yes cases to a decision problem P cannot be decided, the problem is said to be "undecidable."
Describe an algorithm.Algorithms exist to identify, solve, and frequently automate a solution to a particular problem; regardless of the situation, they are essentially problem solvers of expression.
In area of beginning textbooks, algorithms are typically introduced as "a set of phases to solve a problem."
Here,
Alternatively, a Turing computer that halts for all inputs cannot recognize a language for whose membership cannot be determined by an algorithm.
It is known as undecidable language.
There is no Turing Machine for an undecidable language that accepts the language and decides on each input string (TM can make decision for some input string though).
When the language L of all yes cases to a decision problem P cannot be decided, the problem is said to be "undecidable."
Therefore , the solution of the given problem of algorithm comes out to be when the language L of all yes cases to a decision problem P cannot be decided, the problem is said to be "undecidable."
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The volume of a sphere is given by the equation V = 1/6(square root of 3.14) x 60^3/2
where S is the surface area of the sphere. Find the volume of a water walking ball, to the nearest cubic meter
12. Find T in the diagram, if R = 110° and S = 60°.
Answer:
∠T = 130°
Step-by-step explanation:
The figure we are given is a quadrilateral, a 4 sided shape.
There are many different types of quadrilaterals, such as a rhombus, rectangle, etc.
How will we know which quadrilateral the given figure is?
We will have to look at the given properties of the figure to find out.
We are given that there are two adjacent pairs of congruent sides.
RS = RU, and ST = UT.
Thus, the given quadrilateral is a kite.
Now that we know that the given figure is a kite, we can utilize a kite's angle properties to find out ∠T.
In a kite, the non-vertex angles (∠S and ∠U) are congruent.
If ∠S = 60°, then ∠U = 60°.
In a kite, the sum of the interior angles is 360°.
Hence:
∠R + ∠S + ∠T + ∠U = 360°
Therefore, we can substitute the angles we know into the equation and solve for ∠T.
∠R + ∠S + ∠T + ∠U = 360°
110 + 60 + ∠T + 60 = 360
110 + 120 + ∠T = 360
230 + ∠T = 360
∴ ∠T = 130°
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9. Samuel is comparing the average EPA ratings on 4 types of vehicles. He wants to drive a pickup truck, but he can see from the table below that he would use less gasoline if he drove a compact car. If Samuel
drives an average of 13,000 miles per year, how many more gallons of gas would he need to buy for a pickup truck compared to a compact car?
4-door Sedan
Compact Car
Pickup Truck
Small SUV
EPA rating: 26 mpg (combined city and EPA rating: 32 mpg (combined city EPA rating: 20 mpg (combined city and EPA rating: 22 mpg (combined city and
highway)
and highway)
highway)
highway)
O221.25 gallons
243.75 gallons
250.25 gallons
O261.75 gallons
Answer:
If Samuel drives a compact car, he would need to buy 243.75 gallons of gas per year. If he drives a pickup truck, he would need to buy 250.25 gallons of gas per year. So he would need to buy 6.5 more gallons of gas per year if he drives a pickup truck compared to a compact car.
Step-by-step explanation:
Find the sum of all natural numbers such that they are 5 times bigger than their last digit.
A. 25
B. 75
C. 125
D. 276
E. 389
The sum of the natural numbers is (a) 25
How to determine the sum of the natural numbers?From the question, we have the following parameters that can be used in our computation:
Number type = natural number
Condition = 5 times bigger than their last digit
This means that
Number = 5 * Last digit
Because the number is a natural number, then the number cannot end in 0
This is so because 0 is not a natural number
Solving further, the last digit of the number is at most, 9
Using the above as a guide, we have the following:
The number is at most 45 i.e. 5 * 9
Also, it means that it can not have more than 2 digits.
The above highlights in a nutshell is that the number is a multiple of 5 that does not end in 0 and the last digit is 5
Since the last digit is 5, then we have the number to be 25 i.e. 5 * 5
Hence, the number is (a) 25
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An approximate solution to an equation is found using this iterative process.
(x, Jº-1
X,+1
and x, = -1
4
The values of X1, X2 , X3 could be -1 , -0.6 , -0.041600 using the iterative process.
What is iteration ?
iteration can be defined as the repeating itself to perform a particular task.
Given
X2 is when n=1
X2 = X1+1 = X1 ^ 3 - 5/10
because X1 = -1
so X2 = -1-5/10 = -6/10 = -0.6
X3 is when n=2
X3 = X2+1
= X2 ^ 3 -5/10
because X2 = -3/5
so X3 could be
X3 = (-0.6*-0.6*-0.6) - 5 / 10
X3 = -0.041600
Hence, The values of X1, X2 , X3 could be -1 , -0.6 , -0.041600 using the iterative process.
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Swimming Pool On a certain hot summers day, 498 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adult. The receipts for admission totaled $920.00. How many children and how many adults swam at the public pool that day?
If Swimming Pool On a certain hot summers day, 498 people used the public swimming pool. The number of children is 325 and the number of adult is 173.
How to find the number of children and adult that swam?Children = x
Adults = y
x + y = 498 Equation .....1
1.50x + 2.50y = 920 Equation ...2
Multiply (1) by 2.50
2.50x + 2.50y = 1,245 Equation Equation ....3
1.50x + 2.50y = 920 Equation ...2
Subtract (2) from (3)
1x = 325
x = 325/1
x = 325 (Children)
Substitute x = 325 in (1)
x + y = 498
325 + y = 498
y = 498 - 325
y = 173 (Adult)
Therefore 325 children and 173 adults swam at the pool.
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A test has a mean of 75 with a standard deviation of 5. Which of the following scores is within one standard deviation of the mean
The score interval that is within one standard deviation of the mean is
(70 , 80).
What is standard deviation?
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean of the collection.
Some of the properties of the standard deviation are:
1. It cannot be negative
2. It is only employed to calculate the spread or dispersion around a data set's mean
3. It displays the degree of deviation from the mean value
4. The larger the spread, the more standard deviation, with data of about the same mean.
Given,
The mean of the test μ = 75
The standard deviation σ = 5
We are asked to find the scores within one standard deviation of the mean.
This means that the scores should be in the interval ( μ - σ , μ + σ )
μ - σ = 75 - 5 =70
μ + σ = 75 + 5 = 80
Therefore the scores should be in the interval = ( 70,80), which is within one standard deviation of the mean.
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C is the centroid of △ABD. find the following:
1. If CD = 12, find FC.
2. If BG= 15, find BC.
3. If AE = 21, find EC.
4. If FA = 6, find BA.
5. If CG = 3.5, find BC.
Answer:
1. FC = 6
2. BC = 10
3. EC = 7
4. BA = 12
5. BC = 7
Step-by-step explanation:
⭐What is the centroid of a triangle?
the intersection of the medians of a trianglethe medians bisect each side in halfeach median is split in the ratio of 2:1each median has a segment from the vertex to the centroid. that segment is 2/3 the distance from said vertex to the opposite side of said vertexeach median has a segment from the centroid to a side opposite of a vertex. that segment is 1/3 the distance from said vertex to said opposite sideUsing the properties of a centroid, we can determine the lengths the problem is asking us for.
1. If CD = 12, find FC.
each median is split in the ratio of 2:1So if the median we need to look at is FD,
then CD : FC = 2:1
[tex]\frac{CD}{FC} = \frac{2}{1}\\\\\\\\[/tex] . . . . . . . . write the proportion
[tex]\frac{12}{FC} = \frac{2}{1}[/tex] . . . . . . . . . substitute the known values
[tex]12 = 2FC[/tex] . . . . . . cross multiply
[tex]FC = 6[/tex] . . . . . . divide both sides by 2 to isolate FC
∴ FC = 6
2. If BG = 15, find BC
each median has a segment from the vertex to the centroid. that segment is 2/3 the distance from said vertex to the opposite side of said vertexSo if BG = 15, and BC is the distance from a vertex to the centroid, then BC is 2/3 of BG.
[tex]BC = \frac{2}{2}BG[/tex] . . . . . write equation
[tex]BC = \frac{2}{3}(15)[/tex] . . . . . substitute known values
[tex]BC = \frac{30}{3}[/tex] . . . . . . . . multiply numerators
[tex]BC = 10[/tex] . . . . . . . . compute
∴ BC = 10
3. If AE = 21, find EC
each median has a segment from the centroid to a side opposite of a vertex. that segment is 1/3 the distance from said vertex to said opposite sideSo if AE is the full median, and EC is the distance from the centroid to the opposite side of a vertex, then EC is 1/3 of AE.
[tex]EC = \frac{1}{3}AE[/tex] . . . . . . . . write equation
[tex]EC = \frac{1}{3}(21)[/tex] . . . . . . . . substitute known values
[tex]EC = \frac{21}{3}[/tex] . . . . . . . . . . . multiply the numerators
[tex]EC = 7[/tex] . . . . . . . . . . . . compute
∴ EC = 7
4. If FA = 6, find BA
the medians bisect each side in halfIf BA is a side length that is bisected by a median, then FA is 1/2 of BA.
[tex]FA = \frac{1}{2}BA[/tex] . . . . . . . make equation
[tex]FA = \frac{1}{2}(6)[/tex] . . . . . . . . substitute known values
[tex]FA = \frac{6}{2}[/tex] . . . . . . . . . . . multiply the numerators
[tex]FA = 3[/tex] . . . . . . . . . . . compute
∴ FA = 3
5. If CG = 3.5, find BC
each median is split in the ratio of 2:1each median is split in the ratio of 2:1So if the median we need to look at is BG,
then BC : CG = 2:1
[tex]\frac{BC}{CG} = \frac{2}{1}[/tex] . . . . . . . . . . create the proportion
[tex]\frac{BC}{3.5} = \frac{2}{1}[/tex] . . . . . . . . . . substitute the known values
[tex]BC = 2(3.5)\\[/tex] . . . . . . . . cross multiply
[tex]BC = 7[/tex] . . . . . . . . . . . . . compute
∴ BC = 7
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Sector of a circle has arc length 11cm and central angle. Find its radius and area.
Answer:
s = 11.cm
Θ = 2.2.radians
Step-by-step explanation:
Help me pleaseeeeeeeee!!!
0.08/0.2 and 0.2/0.8 are not proportional.
What is proportionality?A proportion is an equality of two ratios. We write proportions to help us establish equivalent ratios and solve for unknown quantities.
Given are two numbers, 0.08/0.2 and 0.2/0.8
Checking for if they are proportional or not,
0.08/0.2
Multiplying denominator and numerator by 100,
8/20 = 2/5
And,
0.2/0.8 = 1/4
Since, 0.08/0.2 ≠ 0.2/0.8
Hence, 0.08/0.2 and 0.2/0.8 are not proportional.
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How do you find the inverse of a 4x4?
By adding a duplicate of the identity matrix to the augmented matrix, which was formed, it is possible to find the inverse of a square matrix using row reduction.
If the matrix is capable of being reduced to the identity, the identity matrix will simultaneously change into the inverse matrix. A rectangular array of numbers, arranged in rows and columns, is referred to as a matrix. The dimension, or order, of a matrix, indicates how many rows and columns there are in the array. For example, if a matrix has m rows and n columns, its order is expressed as mxn.
Correct Question :
How do you find the inverse of a 4x4 matrix?
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x + 2y = -18
-8x + 5y = -24
substitution method
To solve many simultaneous linear equations, use the substitution method in algebra.
What is substitution method ?The algebraic technique for resolving multiple linear equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another.
The first stage in the substitution approach is to determine any variable's value in terms of the other variable from one equation. If there are two equations, x+y=7 and x-y=8, for instance, we can deduce from the first equation that x=7-y. The substitution approach is applied in this manner as the first stage.
There are three steps in the substitution technique:
For each variable, solve a single equation.Solve the other equation by substituting (plugging in) this expression.Find the corresponding variable by substituting the value back into the original equation.Therefore, the answer is x= -2 and y= -8.
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PLS HELP I DONT UNDERSTAND THUS PLS EXPLAIN
The equation that will make a system with infinite solutions is the third option.
y = 2x + 6
Which equation will make a system with infinite solutions?
A system of linear equations will have infinite solutions only if the two equations represent the same line.
Here we know that one of the linear equations of the system is:
2y - 4x = 12
If we now divide the whole equation by 2, we will get:
(2y - 4x)/2 = 12/2
y - 2x = 6
Now we can move the "2x" term to the right side, then we will get.
y = 2x + 6
So the equations:
y = 2x + 6
2y - 4x = 12
Represent the same line, then that system will have infinite solutions.
Finally, the correct option is the third one.
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18
The table shows information about the numbers of points scored by 28 students in a quiz.
Number of points
0
1
2
3
4
5
(a) Find the modal number of points.
(b) Work out the total number of points scored.
Frequency
5
4
5
5
6
3
(1)
Consequently, this student's quiz results have a median, or "middle," value of 16.
Define median.When a dataset is ordered, the median value is the one that appears exactly in the middle of the dataset. The difference between the lowest and highest 50% of data is a measure of central tendency or average. Depending on whether you have an odd or even number of data points, the procedures for determining the median , mode change.
Here,
the median, or "middle" value in a data set. Your data must be in numerical order in order to calculate the median.
Exam results:
9, 13, 20, 15, 18, 17
Number the rows and columns.
9, 13, 15, 17, 18, 20
Calculate the "middle" value:
9, 13, 15, 17, 18, 20
If there are two middle values, put them together and divide by two.
15 + 17 = 32
32/2 = 16
Consequently, this student's quiz results have a median, or "middle," value of 16.
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In tenpin bowling, the height of each bowling pin must be 15 inches with an absolute deviation of 0.03125 inches find the minimum and maximum possible heights of the bowling pin.
The minimum and maximum possible heights of the bowling pin are 14.96875 inches and 15.03125 inches
How to find the minimum and maximum possible heights of the bowling pin.From the question, we have the following parameters that can be used in our computation:
Absolute deviation = 0.03125 inches
Height = 15 inches
The minimum is calculated as
Minimum = Height - Absolute deviation
Substitute the known values in the above equation, so, we have the following representation
Minimum = 15 - 0.03125 inches
Minimum = 14.96875 inches
The maximum is calculated as
Maximum = Height + Absolute deviation
Substitute the known values in the above equation, so, we have the following representation
Maximum = 15 + 0.03125 inches
Minimum = 15.03125 inches
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What's the domain of a logarithmic function?
Answer:
all positive numbers
Step-by-step explanation:
You want to know the domain of the log function.
Log functionThe log function ln(x) is defined for all x > 0. A log function with any other base is similarly defined.
log function domain: all positive numbers
A parent log function has a vertical asymptote at x=0, and an x-intercept at x=1. Its vertical scaling will depend on the base of the logarithm. Like any function, it can be translated and scaled horizontally and vertically.
__
Additional comment
In the field of complex numbers, the log function is defined for any non-zero number. For example, ln(-1) = πi.
The range is all real numbers.
Find (f/g)(x) for.
f(x) =
X² - 8x+16/
2 + 2x
; g(x) =
(6x)/
(x-4)
Therefore , the solution of the given problem of function comes out to be f(g(x)) = x[tex]X^{2}[/tex]−4[tex]X^{2}[/tex]−28x−32/(x−4)
What is function?Each x value in the domain has one but only one y value range, according to the rule of a function. Definition. If there is only one and only one value of x such that f(x) = y, then the function is one-to-one
Here,
Given : f(x) =X² - 8x+16/2 + 2x
g(x) =(6x)/(x-4)
To find the f(g(x)) :
=> f(g(x)) = f(6x/(x-4))
=> f(6x/(x-4)) = (6x/(x-4) )^2 - 8((6x)/(x-4)) +16/2 + 2(6x)/(x-4)
=> f(6x/(x-4)) = 36[tex]x^{2}[/tex]/ ( [tex]x^{2}[/tex]+ 16 - 8x) - 36[tex]x^{2}[/tex]/(x+4) +8
=> f(6x/(x-4)) = x[tex]X^{2}[/tex]−4[tex]X^{2}[/tex]−28x−32/(x−4)
Therefore , the solution of the given problem of function comes out to be
f(g(x)) = x[tex]X^{2}[/tex]−4[tex]X^{2}[/tex]−28x−32/(x−4)
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PLEASE HELP PICTURE ATTACHED
Given the diagram below, which statement is true?
A. /1 and /2 are vertical angles and supplementary.
B. /2 and /3 are complementary angles and congruent.
C. /1 and /3 are vertical angles and congruent.
D. /2 and /4 are supplementary angles and congruent.
Therefore , the solution of the given question of triangle comes out to be the only true option is A.
Triangle definitionAny three points in a plane can be connected to create triangles, which have three sides and three angles. They were one of the very first geometric shapes to be studied. They are particularly important because any polygon, whether it has four, five, six, or n sides, may be split into a triangle.
Here,
Because angles 1 and 2 are close to one another, they are neighboring angles.
A They share a side and are near to each other, making them neighboring angles.
B. The angles are complimentary (add to 90 degrees) False—Angle 2 has a 90 degree angle.
C. They are additional angles. (add to 180) They do not create a straight line, which is untrue.
D. Vertical angles describe them. (Contrary angles) False, they are not created through the intersection of lines.
Therefore , the solution of the given question of triangle comes out to be the only true option is A.
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A cylinder shaped dispenser holds 5,652 cubic centimeters of liquid soap and is now full. The radius of the dispenser is 7.5 centimeters. What is the difference between the height of the soap in the full dispenser and the height when 4,239 cubic centimeters of soap remains in the dispenser
On solving the provided question, we can say that difference of cylinder between the height of the soap 8 cm.
what is cylinder?One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.
[volume of cylinder]=pi*r²*h- = h=[volume of cylinder]/(pi*r²)
Volume=5652 cm³
r=7.5 cm, so, h= [tex][5652]/(3.14*7.5²) = h=32 cm[/tex]
the height of the soap in the full dispenser is 32 cm
the height when 4,239 cubic centimeters of soap remains in the dispenser is h [tex]=[4239]/(3.14*7.5²) = h=24 cm[/tex]
the difference is [tex]32-24 = 8 cm[/tex]
the answer is
8 cm
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Which inequality correctly orders the numbers -2/3, -11/3, and 2.5 if you tell me right now then i will send you the newest phone and 1,000,000 dollors
Answer: As for the inequality question you asked,
-2/3, -11/3, and 2.5 are decimal numbers.
-11/3 is smaller than -2/3 because -3.67 is smaller than -0.67
-2/3 is smaller than 2.5 because -0.67 is smaller than 2.5
So the inequality that correctly orders the numbers -2/3, -11/3, and 2.5 is -11/3 < -2/3 < 2.5
It's worth noting that this inequality uses the less than (<) symbol to show the order of the numbers from the smallest to the largest, and it's also worth to remember that this inequality is true only for these specific values, if any of the values were changed it would've resulted in a different inequality.
Step-by-step explanation:
5. Step 4: Convert the number into decimal form rounded to the
nearest thousandth.
6.28=
O 6.284
O 6.280
O 6.283
O 6.282
Answer: 6.280
Step-by-step explanation:
How do you solve a 30 60 90 right?
Remembering the ratio of 1: 3: 2 and understanding that the smallest side length is always opposite the shortest angle (30°) and the longest side length is always opposing the greatest angle (90°) can help you recall the 30-60-90 triangle principles.
A 30-60-90 triangle can have three sides, and if you only know one, you can use shortcuts to discover the other two. The three scenarios you encounter when performing these computations are as follows:
You are aware of the short leg (the side across from the 30-degree angle). To determine the hypotenuse, multiply the length by two. The long leg may be calculated by multiplying the short side by the square root of 3.You are aware of the hypotenuse. To get the short side, divide the hypotenuse by two. To determine the long leg, multiply this response by the square root of 3.You are aware of the long leg (the side across from the 60-degree angle). To determine the short side, divide this side by the square root of 3. To determine the hypotenuse, multiply that amount by two.To know more about the 30-60-90 triangle on brainly : brainly.com/question/11751274
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Sarah has 600 quarters and dimes in her piggy bank which totals $123. 75 how many quarters does she have? (Hit: use cent values for each coin- quarters are 25 cents, 0. 25)
The answer of Coin word problem is Sarah has 425 quarters.
What is a Coin word problem?There are often two different equation types in coin word problems. The total number of coins is described by one equation, while the total amount of money is described by the other equation. However, let's choose some variables that will represent the problem's unknown values before we begin creating our equations.
Word Problems, also known as story problems, can be found in both daily life and the Common Core State Standards for every school level,
Let q be the number of quarters and d be the number of dimes
Then we are doing as :
q + d = 600 → d = 600 - q (1)
0.25q + 0.10d = 123.75 (2)
Sub (1) into (2) for d
0.25q + 0.10 ( 600 - q) = 123.75
simplify,
0.25q + 60 -0.10q = 123.75
0.15q + 60 = 123.75 (subtract 60 from both sides)
0.15q = 63.75 ( divide both sides by 0.15)
q = 425
Therefore, she has 425 quarters
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If a is 200% of b, what percent of 5a is 4b?
250% (percent) of 5a is 4b.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
here, given that,
a is 200% of b
i.e. a=2b
Now, 5a=10b
So, we have,
5a/4b
=10b/4b
=5/2
=250%
Hence, 250% (percent) of 5a is 4b.
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28 The function g(z) = 400z - z2 can be ued to determine the area, in quare feet, of a field, where z repreent the width of the field in feet. A farmer will plant pinach in thi field and expect to harvet 1 pound of pinach per quare foot. If the field i 50 feet wide, what i the total number of pound of pinach the farmer hould expect to harvet from the field?
The farmer should expect to harvest 17,500 pounds of spinach from the field.
What is a function?
A function is a mathematical relation between a set of inputs (called the domain) and a set of possible outputs (called the range). The inputs are usually denoted by variables and the outputs are usually denoted by the value of a function. A function assigns exactly one output to each input.
In the given problem, g(z) = 400z - z^2 is a function that describes the area of a field in square feet, where z represents the width of the field in feet.
Given that the width of the field is 50 feet, we can substitute this value into the function to find the area of the field:
g(50) = 400(50) - 50^2 = 20,000 - 2,500 = 17,500 square feet
We know that the farmer will plant spinach in this field and expect to harvest 1 pound of spinach per square foot. Therefore, the total number of pounds of spinach the farmer should expect to harvest from the field is:
1 pound/square foot * 17,500 square feet = 17,500 pounds
Hence, the farmer should expect to harvest 17,500 pounds of spinach from the field.
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The farmer should expect to harvest 17,500 pounds of spinach from the field.
What is a function?
A function is a mathematical relation between a set of inputs (called the domain) and a set of possible outputs (called the range). The inputs are usually denoted by variables and the outputs are usually denoted by the value of a function. A function assigns exactly one output to each input.
In the given problem, g(z) = 400z - z^2 is a function that describes the area of a field in square feet, where z represents the width of the field in feet.
Given that the width of the field is 50 feet, we can substitute this value into the function to find the area of the field:
g(50) = 400(50) - 50^2 = 20,000 - 2,500 = 17,500 square feet
We know that the farmer will plant spinach in this field and expect to harvest 1 pound of spinach per square foot. Therefore, the total number of pounds of spinach the farmer should expect to harvest from the field is:
1 pound/square foot * 17,500 square feet = 17,500 pounds
Hence, the farmer should expect to harvest 17,500 pounds of spinach from the field.
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I need help with question 9. It’s all about functuons
Answer:
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Step-by-step explanation:
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Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to
The volume of Pill Bluetooth Speaker is 39.78 cubic inches.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, Pill Bluetooth Speaker consists two semi sphere and cylinder.
The diameter of the cylinder and semi sphere is 2 inches. the height of the cylinder is a foot.
Radius =2/2 1 inch
We know that, the volume of semi sphere is 2/3 πr³
= 2/3 ×3.14×1³
= 2.1 cubic inches
We know that, 1 foot =12 inches
The volume of cylinder is πr²h
= 3.14×1²×12
= 37.68 cubic inches
Total volume =37.68+2.1
= 39.78 cubic inches
Therefore, the volume of Pill Bluetooth Speaker is 39.78 cubic inches.
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"Your question is incomplete, probably the complete question/missing part is:"
Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to nearest tenth.
a) Volume of the Bluetooth Speaker ______
Simplify using only positive exponents:
(2h^7v^-3)/(5h^-4v^5)^-5
Therefore the expression simplified using only positive exponents is 10h^4v^22.
Define positive exponents.An exponent's sign indicates how many times to multiply or divide a base number. A negative exponent indicates the opposite. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.
Define multiply and divide.A mathematical procedure called multiplication shows how many times a number has been added to itself. The multiplication symbol (x) or (*) are used to denote it. A mathematical process that shows how many equal amounts add up to a given number is called division.
To simplify the expression using only positive exponents, we need to make sure that all the exponents are positive.
We can simplify the expression:
(2h^7v^-3)/(5h^-4v^5)^-5
= (2h^7v^-3)/(1/(5h^-4v^5)^5)
= (2h^7v^-3) * (5h^4v^25)
= 10h^4v^22
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Identify the surface whose equation is given.
p = sin θ sin φ
Therefore , the solution of the given problem of trigonometry comes out to be surface x² + y² + z² = p².
What is trigonometry?Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every straight-sided shape may be reduced to a set of triangles. Remarkably intricate connections exist between trigonometry and other areas of mathematics, particularly calculus, real or complicated, exponentials, logarithms, and infinite series.
Here,
Given:
p = sinθ sin∅
To Locate:
the equation's surface
Solution:
adding p to both sides of the equation
p sinθ sin∅ = p²
p sinθ sin∅ = p²
p sinθ sin∅ =y
x²+y²+z²=y
x² + y² - y+ z² = 0
x²+ (y - 1/2)²+ z² = 1/4
r² =1/4, r= √1/4,
The surface of the sphere having a radius of 1/2 and a center at (0, 1/2, 0) is designated as 1/4.
Sphere-centered coordinates
x = sin p sin
y = sin(p), sin(p),
z = p cos∅
x² + y² + z² = p²
Therefore , the solution of the given problem comes out to be surface
x² + y² + z² = p².
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Where is the x-intercept in a quadratic formula?
The x-intercept in a quadratic formula is where the graph of the function crosses the x-axis.
An x-intercept is a point on the graph of a function where the y-coordinate is equal to zero. In other words, it's a point on the graph where the function intersects the x-axis. The x-intercepts of a quadratic formula can be found by setting the y-value equal to zero and solving for x.
The quadratic formula is typically in the form of ax^2 + bx + c =0, thus by setting y=0 we get x = -b/2a and x = -b/2a, these are the x-intercepts where the graph of the function will cross the x-axis. The x-intercepts are also known as the roots or zeroes of the function, and are important for understanding the overall shape of the graph.
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