Check the picture below.
a surface generated by a closed plane curve rotated about a line that lies in the same plane as the curve but does not intersect it t/f
The statement that "a surface generated by a closed plane curve rotated about a line that lies in the same plane as the curve but does not intersect" is true.
The surface generated by a closed plane curve rotated about a line that lies in the same plane as the curve but does not intersect it is called a torus. The torus is a three-dimensional surface that can be thought of as a doughnut shape. The curve that generates the torus is called the generator, and the line about which the curve is rotated is called the axis of rotation. The torus has the interesting property that it has a hole in the center, and the distance from any point on the surface to the center of the torus is constant.
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One side of a rectangle is 9 cm and the diagonal is 15 cm. what is the what is the other side of the rectangle?
Answer:
Find the perimeter of the rectangle. Then we have the length of the other side is 12 cm 12 \ \text{cm} 12 cm.
Answer:
12cm
15
\(15 \times15 - 9 \times 9 = \sqrt{144 = 1} } \)
find the next two terms in this sequence: 96, -48, 24, -12, ?, ?
The next two terms of the sequence are 6 and -3.
What is a sequence?A list of numbers or objects that adhere to a pattern or rule is referred to as a sequence in mathematics. The name for each number or item in the sequence is.
Sequences can take many various forms, but some of the most popular ones are as follows:
Arithmetic sequence: In an arithmetic sequence, each term is produced by multiplying the previous term by a constant amount (referred to as the common difference). For instance, the arithmetic sequence 2, 5, 8, 11, 14,... has a common difference of 3.
Sequence that is geometric: In a sequence that is geometric, each term is produced by multiplying the previous term by a constant (known as the common ratio). For instance, the geometric series 1, 2, 4, 8, 16,... has a common ratio of 2.
For the given sequence we observe that the next term is negative half of the previous term thus,
-12/-2 = 6
6/- 2 = -3
Hence, the next two terms of the sequence are 6 and -3.
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5!, called 5 _______ is the product of all positive integers from _______ down through _______. by definition, 0!_______.
Answer:
120
Step-by-step explanation:
5!, called 5 factorial is the product of all positive intergers from 5 down though 1. by definition, 0! is 0.
Factorials are basically the number times itself-1 the 2 the 3 until it times it by itself-(itself-1). n!=n*(n-1)*n(n-2).....*n-(n-1).
For example 2!=2*1=2 and 6!=6*5*4*3*2*1=720
keep in mind that I am not an expert so the blanks I filled in might be wrong and the explanation might have errors
5!, called "5 factorial," is the product of all positive integers from 5 down through 1. By definition, 0! is equal to 1.
Factorial is a mathematical operation denoted by an exclamation mark (!). It represents the product of all positive integers from a given number down to 1. In the case of 5!, it is calculated as 5 × 4 × 3 × 2 × 1, resulting in the value of 120.
The exclamation mark notation allows us to represent the factorial of a number concisely. For example, 5! represents the factorial of 5. It is important to note that 0! is defined to be equal to 1. This is a special case in factorial calculations. While it may seem counterintuitive, it is defined this way to maintain consistency and enable certain mathematical calculations and formulas.
Therefore, 5! is the product of all positive integers from 5 down through 1, equaling 120, and 0! is defined to be 1.
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solve the equation 6=5x+2
Hi Student!
Looking at this problem, it is pretty straight forward and we don't need to do much information gathering to help answer our question. The main point is that we just need to solve the equation also known as solving for the unknown variable.
Subtract 2 from both sides
\(6= 5x + 2\)\(6 - 2 = 5x + 2 - 2\)\(4 = 5x\)Divide both sides by 5
\(\frac{4}{5} = \frac{5x}{5}\)\(\frac{4}{5} = x\)Therefore, our final solution to this problem is that x is equal to 4/5 or we can convert this to a decimal to which we will then get 0.8.
Harrison and Sherrie are making decisions about their bank accounts. Harrison wants to deposit $300 as a principal amount, with an interest of 5% compounded quarterly. Sherrie wants to deposit $300 as the principal amount, with an interest of 3% compounded monthly. Explain which method results in more money after 2 years. Show all work someone please help me i beg
Answer:
Sherrie's method will make more money.
Step-by-step explanation:
They both deposit 300 dollars, since Harrison is compounding at 5% quarterly she will be making $15 every quarter and since there are 4 quarters per yr at the end of the year Harrison will be sitting at $360.
Whereas Sherrie is compounding at 3% per month so she will be making $9 per month and multiply that by 12 she will be sitting at $408 by the end of the year hence Sherrie makes more.
125 feet in 5 seconds. can you maybe please make this? thx.
Answer:25/5 or 25/1.
Step-by-step explanation: 125 feet in 5 seconds as a unit rate would be 125/5 or 25/1.
How would you convert 18 months to years?
Answer:
1 year and 6 months
Step-by-step explanation:
You would do 12 month ia a year and then you would do 12- 18 and get 6 months.
Lola went to the hardware store and bought 6 yellow ropes. The total length of the ropes was 8.1 meters. How long was each rope?
The length of each rope is 1.35 meters
How to calculate the length of each rope ?Lola went to the hardware store and bought 6 yellow ropes
The total length of the rope was 8.1 meters
Therefore the length of each rope can be calculated as follows
= 8.1/6
= 1.35
Hence the length of each rope at the hardware store is 1.35 meters
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Estimate ΔyΔy using differentials.
y=cos(5x),=/30,x=0.055
(Give your answer to three decimal places.)
The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin(5x)dx. We are given that y=cos(5x)=π/30y=cos(5x)=π/30 and x=0.055x=0.055.
We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:
Δy≈dy≈dy=-5sin(5x)dx
Plugging in the values of y, x, and dxdx, we get:
Δy≈-5sin(5(0.055))(0.005)≈-0.00679
Therefore, the estimated change in yy using differentials is -0.00679.
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please help me I'm suffering right now please help how do I get this im crying I need help answer this ___÷10=44119
Answer:
The answer is 441190
You just have to multiply 10 with 44119 and then you get 441190
(10 • 44119 = 441190)
The radius of a circle is 17 inches. What is the circle's area?
Use 3.14 for л.
Answer:
Step-by-step explanation:
The formula for the area of a circle is:
A = πr^2
where A is the area, π (pi) is approximately 3.14, and r is the radius.
Substituting the given radius of 17 inches into the formula, we get:
A = 3.14 × 17^2
A = 3.14 × 289
A = 907.06
Therefore, the area of the circle is approximately 907.06 square inches.
Answer:
907.46
Step-by-step explanation:
Area of a circle formula is πr^2
It says the radius is 17
**Simplify**
(3.14)(17)^2=907.46
. Alexandro, o professor de Física, avisou aos alunos que a média bimestral seria calculada conforme o seguinte critério: Adicionam-se as notas obtidas no projeto, na prova e no trabalho em grupo e divide-se o resultado obtido por três. Laura é uma das alunas do professor Alexandre. As notas de Laura: Projeto: 5,0 Prova: 6,5 trabalho em grupo: 9,5. A) Por que o resultado deve ser dividido por 3?
Answer:
É necessário dividir por 3 para calcular a média simples das 3 notas.
Média = 7.
Step-by-step explanation:
O resultado deve ser dividido por três porque três notas com pesos iguais (projeto, prova e trabalho em grupo) foram somadas, portanto para calcular a média bimestral de Laura, a soma das três notas deve ser dividida por 3. A média de Laura é:
\(M=\frac{5,0+6,5+9,5}{3}\\ M=7\)
PLEASE HELP!!! ............
Answer:
No, it is not a function.
Step-by-step explanation:
Vertical line test. A function can only have one output, y, for each unique input, x.
3. The MPG (Miles per Gallon) for a mid-size car is normally distributed with a mean of 32 and a standard deviation of .8. What is the probability that the MPG for a selected mid-size car would be: Less than 33.2
Answer:
93.32 %
Step-by-step explanation:
33.2 is 1.2 away from 32 this is 1.2 / .8 = 1.5 standard deviations ABOVE the mean z -score = + 1.5
from z-score table this corresponds to .9332 this is 93.32 %
The probability that a randomly selected passenger car gets more than 33.2 mpg is 0.14.
What is P- value?The p-value, used in null-hypothesis significance testing, represents the likelihood that the test findings will be at least as extreme as the result actually observed, assuming that the null hypothesis is true.
Let the random variable X represent the miles-per-gallon rating of passenger cars. Compute the probability that a randomly selected passenger car gets more than 33.2 mpg as follows:
The probability will be calculated as below;-
\(P(x > 33.2) = p(\dfrac{x-\mu}{\sigma} > \dfrac{33.2 - 32}{0.8})\)
P( x > 33.2) = 1 - P ( z < 1 )
P( x > 33.2) = 1 - 0.86
P( x > 33.2) = 0.14
Thus, the probability that a randomly selected passenger car gets more than 33.2 mpg is 0.14.
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What is the value of x?
A. 6
B. 6√2
C. 12
D. 12√2
Answer:
the answer is c
Step-by-step explanation:
i got it right on my test. Hope This helps!
Charissa is eating out with friends, and it is her turn to pay the gratuity. The bill for the food is $26.50. If she plans to tip at 20%, what should she pay if she doesn’t want to leave pennies on the table?
$0.55
$1.30
$2.65
$5.30
Answer:
$5.30
Step-by-step explanation:
To find the answer, you would need to divide $26.50 / .20 which would equal $5.30
Hope this helps and pls do mark me brainliest if you can:)
She should pay if she doesn’t want to leave pennies on the table $5.30,
the correct option is D
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
\(\dfrac{a}{100} \tim\)
Given;
The bill for the food is $26.50
She has to pay 20% tip
Now,
20% of $26.50 be x;
x*100/26.50=20
x=20*26.50/100
x=5.3
Therefore, the answer by 20 percent will be $5.30
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Question 5
Fill in the blank question.
Jack wants to buy a coat that costs $74.95. The sales tax rate in his city is 612% . What is the total cost for the coat?
The coat has a total cost of $533.644
How to determine the total cost for the coat?From the question, the given parameters are:
Cost of a coat = $74.95
Sales tax in the city = 612%
Using the sales tax, the total cost for the coat is calculated using
Total cost of coat = Cost of a coat + Cost of a coat * Sales tax in the city
Substitute the known values in the above equation
So, we have the following equation
Total cost of coat = 74.95 + 74.95 * 612%
Evaluate the products
Total cost of coat = 74.95 + 458.694
Evaluate the sum
Total cost of coat = 533.644
Hence, the total cost of the coat is $533.644
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Gretchen made a paper cone to hold a gift for a friend. The paper cone was 16 inches high and had a radius of 5 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.
Therefore, the volume of the paper cone to the nearest tenth is 418.7 inches cubed.
The volume of the paper cone that Gretchen made to hold a gift for a friend is given by;V= (1/3)πr²hWhere;r = radius of the paper coneh = height of the paper coneπ = 3.14
Given that;Height of the paper cone (h) = 16 inches Radius of the paper cone (r) = 5 inchesWe are to find the volume (V) of the paper cone to the nearest tenth of an inch.
To obtain the volume of the paper cone, we can substitute the values of r and h in the formula above to obtain;
\(V= (1/3)\pir^2hV\)= \((\frac{1}{3} ) \times 3.14\times5^2 \times16V = (\frac{1}{3} ) \times 3.14\times25\times16V = (\frac{1}{3}) \times 1256V=418.7\)
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A rectangular swimming pool is 8 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to fill the swimming pool is 2304 cubic feet. Find the dimensions of the pool.
The smaller dimension of the pool is____ft and the larger dimension is____ft
Answer:
length= 42, width=12, depth=8Step-by-step explenation:
The smaller dimension of the pool is 8 ft and the larger dimension is 36 ft
The length of the rectangle = 8 feet
The width of the rectangle = 36 feet
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
The volume of the rectangle is V = 2304 feet³
Let the length of the rectangle be = A
One side of the pool is 4.5 times longer than the other
So , the width of the rectangle be = 4.5A
Now , on simplifying the equation , we get
Volume of Rectangle = Length x Width x Height
Substituting the values in the equation , we get
Volume of Rectangle = 8 x A x 4.5A
36A² = 2304
Divide by 36 on both sides of the equation , we get
A² = 64
Taking square roots on both sides of the equation , we get
A = 8 feet
Therefore , the width of the rectangle = 4.5 A = 36 feet
Hence , the dimensions of the rectangle is 8 x 36 x 8
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13x-7+7x-13=180 whats the answer?
Answer:
x=10
Step-by-step explanation:
13x-7+7x-13=180
Combine like terms
20x-20 = 180
Add 20 to each side
20x -20+20 = 180+20
20x=200
Divide by 20
20x/20 = 200/20
x = 10
Answer:x=10
Step-by-step explanation:
1.add the number
2.add the same term to bothe sides of the equation
3.simplify
4.divide bothe side of the equation by the same term
5.simplify
Find the rate of discount being given on a shirt whose selling price is $ 546 after deducting a discount of $ 104 on its marked price.
How do you represent complex numbers in GeoGebra?
Complex numbers can be represented in GeoGebra using the complex number constructors, specifically the complexnumber(real,imaginary) command.
This command creates a complex number with the given real and imaginary components. For example, a complex number with a real part of 3 and an imaginary part of 4 can be written as complexnumber(3,4). This will create a complex number with a real part of 3 and an imaginary part of 4, represented as 3+4i. GeoGebra also contains other commands for manipulating complex numbers, such as the conjugate(z) command, which produces the conjugate of the given complex number z, and the re(z) and im(z) commands, which extract the real and imaginary components of the given z, respectively. Together, these commands allow GeoGebra to effectively represent and manipulate complex numbers.
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I need to factor this expression
Answer:
( 5x + 1 ) ( x - 4 )
Step-by-step explanation:
5x² - 19x - 4
= 5x² + x - 20x - 4
= x ( 5x + 1 ) - 4 ( 5x + 1 )
= ( 5x + 1 ) ( x - 4 )
Hence, factorized.
can someone help please
When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.
To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.
The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.
When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.
Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.
Therefore, the water will be approximately 7 inches deep in the larger container.
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The tread life of tires mounted on light-duty trucks follows the normal probability distribution with a population mean of 60,000 miles and a population standard deviation of 4,000 miles. Suppose we select a sample of 90 tires and use a simulator to determine the tread life. What is the likelihood of finding that the sample mean is between 59,050 and 60,950
The likelihood of finding that the sample mean is between 59,050 and 60,950 miles can be determined by calculating the probability using the normal distribution with a sample size of 90, a population mean of 60,000 miles, and a population standard deviation of 4,000 miles.
To find out the probability of getting a sample mean between 59,050 and 60,950, a simulator is used to determine the tread life of tires mounted on light-duty trucks that follows a normal probability distribution.
Here, the population mean is 60,000 miles and the standard deviation is 4,000 miles. The given sample size is 90.
We can use the formula for standardizing the score. The standardized score for the lower limit of 59,050 is -2.78, and that of the upper limit of 60,950 is 2.78. Now, we need to find the probability of getting the mean value between -2.78 and 2.78.
We can use the standard normal distribution table to find the value, which is 0.9950 for z = 2.78 and 0.0050 for z = -2.78. Hence, the required probability is 0.9900.
Therefore, the likelihood of finding that the sample mean is between 59,050 and 60,950, for a sample size of 90 tires, is 0.9900.
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is 0.2857 a rational number?Explain
Answer:
0.2857 is not a rational number.
Step-by-step explanation:
Because rational numbers have to be greater than 1. Decimals are not over 1 so it is not a rational number. Your welcome!
Eitan is on a train heading west into the city while Dmitri is on a train on the adjacent track heading east, away from the city. They start 150 miles apart. Eitan’s train is traveling at an average speed of 65 miles per hour while the average speed of Dmitri's train is 55 miles per hour. How long will it take the two trains to reach each other? How far outside the city will they be?
The time when the two trains reach each other is
.
The trains are
away from the city when they reach each other.
Answer:
1.25 hours.
68.75 miles from the city
Step-by-step explanation:
Eltan's train (E) is travelling 65mph west.
Dmitri's train (D) is travelling 55mph west.
In terms of vectors, we can write E as 65E and D as 55W
The miles travelled by each is a function of time, T, in hours.
Each train's distance is:
E: T*65E
D: T*55W
They are 150 miles apart. They will meet with the combined miles travelled is 150 miles.
150 miles = T*65E + T*55W
150 miles = T(120 miles/hour)
T = (150 miles/120 miles/hour)
T = 1.25 hours
Make Demitri's train mile 0 and Eitan's train at mile 150 at the start.
They will have travelled the following miles in 1.25 hours:
Demitri: (1.25hr)(55 m/hr) = 68.75 miles
Eitan: (1.25hr)(65 m/hr) = 81.25 miles
Total = 150 miles
Dimitri is headed away from the city. After 1.25 hours, his train will have travelled 68.75 miles when he sees Eitan passing him on the adjacent track (hopefull) headed into the city. They meet 68.75 miles from the city.
Answer:
question one is B and question 2 is C
Step-by-step explanation:
PLEASE HELP
What is the perimeter of the following shape if all of the sides are equal?
Answer:
18 m
Step-by-step explanation:
If all the sides are equal, that means all the sides are equal to 6.
6 + 6 + 6 = 18
Albert mixes 10 grams of 15% sugar syrup and 25 grams of 10% sugar syrup. C What is the concentration of sugar in the mixture? D If Albert adds x grams of pure sugar to his mixture, how many grams of sugar will the mixture contain now? E After Albert adds the x grams of sugar, how many grams of mixture does Albert have? F Suppose we know that after he adds the x grams of sugar, Albert's mixture is 25% sugar syrup. Write an equation. G Solve the equation from part (f) to find how many grams of pure sugar Albert needs to add to achieve 25% concentration. A How many grams of sugar does the mixture contain? B How many grams of mixture does Albert have now?
Answer: 14a is 4 grams 14 b is 35 grams
Step-by-step explanation: