Step-by-step explanation:
the answer is y=-6 when x=-3
The schedule number of standard pipe represent: A Length of the pipe B Outer diameter of the pipe © C Thickness of the pipe
The schedule number of standard pipe represents the thickness of the pipe.
In the context of standard pipes, the schedule number is a numerical designation that indicates the thickness of the pipe's walls. It is important to note that the schedule number does not directly represent the length or outer diameter of the pipe.
Instead, the schedule number is used to standardize the thickness of pipes, ensuring that pipes of the same schedule number have the same wall thickness regardless of their size or diameter.
For example, a pipe with a schedule number of 40 will have a thicker wall compared to a pipe with a schedule number of 10. The thickness of the pipe is measured in units called "schedules," with higher schedule numbers indicating thicker walls.
So, in summary, the schedule number of a standard pipe represents the thickness of the pipe's walls.
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A matrix B is said to be a square root of a matrix A if BB = A. (a) Find two square roots of A = [2 2, 2 2] (b) How many different square roots can you find of A = [5 0, 0 9]? (c) Do you think that every 2 x 2 matrix has at least one square root? Explain your reasoning.
There is only one different square root of A.(a) To find the square roots of matrix A = [2 2; 2 2]: Let's consider two matrices B1 and B2: B1 = [1 1; 1 1]; B2 = [-1 -1; -1 -1].
Now, let's check if BB = A for each matrix: B1B1 = [1 1; 1 1] * [1 1; 1 1] = [2 2; 2 2] = A; B2B2 = [-1 -1; -1 -1] * [-1 -1; -1 -1] = [2 2; 2 2] = A. Both B1 and B2 satisfy BB = A, so they are two possible square roots of matrix A. (b) For matrix A = [5 0; 0 9], let's consider a matrix B: B = [√5 0; 0 √9] = [√5 0; 0 3] .We can see that BB = [√5 0; 0 3] * [√5 0; 0 3] = [5 0; 0 9] = A.
Thus, there is only one different square root of A. (c) Not every 2x2 matrix has a square root. For a square root of a matrix to exist, the matrix must be positive definite or positive semidefinite. If the eigenvalues of the matrix are negative or complex, there won't be any real square root. Additionally, if the matrix has zero eigenvalues with multiplicities greater than one, it may not have a unique square root. Therefore, the existence of a square root for a 2x2 matrix depends on its eigenvalues and their properties.
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calcular la suma de las aristas de un cubo si su volumen es 64
Answer:
Step-by-step explanation:
V = 64
a = ∛V = ∛ 64 = 8
Sum = 12·a = 12·8 = 48
Find the area of the square that has side length 7a^4
Answer:
area of square=l²=(7a⁴)²=49a^8
A 4ft hollow cylinder fixed at one end is subjected to a Load 1500lb at the other end perpendicular to the longitudinal axis with inner and outer diameter equal to 3.2in and 4.0in respectively. Determine the maximum shear stress (psi) in the cylinder.
The maximum shear stress in the cylinder is 22500 psi.
The maximum shear stress in the cylinder can be determined using the formula:
τ = (3 * F * r) / (2 * t^2)
Where:
- τ is the maximum shear stress in psi,
- F is the applied load in lb (1500 lb in this case),
- r is the radius of the cylinder in inches ((4.0 in - 3.2 in) / 2 = 0.4 in),
- t is the wall thickness of the cylinder in inches (0.4 in - 0.2 in = 0.2 in).
Now let's plug in the values into the formula:
τ = (3 * 1500 lb * 0.4 in) / (2 * (0.2 in)^2)
Simplifying the equation:
τ = 1800 lb * in^2 / (0.08 in^2)
τ = 22500 psi
Therefore, the maximum shear stress in the cylinder is 22500 psi.
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1. How many 5 digite numbers are there?
Answer:
90,000
Step-by-step explanation:
The first 5 digit number is 10,000, and the last 5 digit number is 99,999, so everything in between these numbers must be a 5 digit number.
You can find the number of numbers in between by subtracting them.
99,999 - 10,000 = 89,999
However, when subtracting, you leave out one of the numbers, so you add 1, which gives 90,000.
This can be shown with a smaller problem, such as how many 1 digit numbers are there:
1, 2, 3, 4, 5, 6, 7, 8, 9 - 9 numbers
However, when you subtract the biggest and smallest numbers:
9-1 = 8
As you see, you are missing on of the numbers because you didn't add one of the numbers in the problem.
i need help asap. rn
Answer:
4
Step-by-step explanation:
For this, you need to find the scale factor of two sides that are already given to you.
So, we will have to use the hypotenuse and one of the legs to make sure there is an accurate scale factor.
Hypotenuse:
15 / 5 = 3
Leg:
6 / 2 = 3
____________
So the scale factor is 3.
Using the leg (with the x) we need to divide 12 by the scale factor (3) to give us what x is equal to.
12 / 3 = 4
So, the answer is 4.
The Empire State Building is 1250 feet tall. If an object is thrown upward from the top of the building at an initial velocity of 38 feet per second, its height s seconds after it is thrown is given by the function h(s)=16s^2+38s+1250.
. How long will it take for the ball to hit the ground?
s = (-38 ± √(-6556)) / 32
Since the term inside the square root is negative, the equation has no real solutions. This means that the ball will not hit the ground.
To determine how long it will take for the ball to hit the ground, we need to find the value of s when the height h(s) equals zero. In other words, we need to solve the equation:
16s^2 + 38s + 1250 = 0
We can use the quadratic formula to solve this equation. The quadratic formula states that for an equation in the form of ax^2 + bx + c = 0, the solutions for x are given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
For our equation, a = 16, b = 38, and c = 1250. Plugging these values into the quadratic formula, we have:
s = (-38 ± √(38^2 - 4(16)(1250))) / (2(16))
Simplifying further, we get:
s = (-38 ± √(1444 - 8000)) / 32
s = (-38 ± √(-6556)) / 32
Since the term inside the square root is negative, the equation has no real solutions. This means that the ball will not hit the ground.
This result does not reflect reality. In reality, the ball would eventually hit the ground due to factors such as air resistance. The given equation does not take these factors into account.
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in an election debate, two candidates for governor are debating about whether to raise the general sales tax from 5 to 7 percent. candidate a argues that this would increase tax revenues, enabling the state to maintain essential services. candidate b argues that the tax would hurt retailers and consumers, slowing down the economy so much that it would decrease tax revenues too. what assumptions must the candidates be making in order to justify their position?
in an election debate, two candidates for governor are debating about whether to raise the general sales tax from 5 to 7 percent, so candidate a assumes that the price effect would be larger than the quantity effect.
What is general sales tax?When a tax is added on a good or service at the point of sale and is financed by the client, it is known as general sales tax. The store is then obligated to transmit, or remit, the tax to the government.
Candidate a contends that revenue will rise along with the sales tax as it rises from 5 to 7 percent. This suggests that the price impact is greater than the quantity effect since, when the tax is raised, the price would rise and the quantity would fall. As a result, the tax revenue would only rise if the price effect is more than the quantity effect.
Additionally, Candidate b claims that the tax will harm consumers and merchants, slow the economy, and reduce tax revenue. However, this claim can only be supported if the quantity effect outweighs the price effect.
Candidate a assumes that the price effect would be larger than the quantity effect.
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The variance of a distribution of means of samples of more than one is
A) smaller than the original population variance.
B) the same as the original population variance.
C) greater than the original population variance.
D) unrelated to the original population variance.
The variance of a distribution of means of samples of more than one is A) smaller than the original population variance.
When considering the distribution of means of samples, the central limit theorem states that as the sample size increases, the sampling distribution approaches a normal distribution regardless of the shape of the population distribution. Additionally, the standard error of the mean decreases as the sample size increases.
The variance of a population is denoted by σ^2.
The variance of the distribution of sample means, also known as the sampling distribution, is denoted by σ^2/N, where N is the sample size.
As the sample size (N) increases, the denominator increases, leading to a smaller value for the variance of the distribution of sample means (σ^2/N). Thus, the variance of the distribution of means of samples is smaller than the original population variance.
The variance of a distribution of means of samples of more than one is smaller than the original population variance. This is due to the central limit theorem and the decrease in standard error as the sample size increases.
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Please help me I have no idea what this is
Answer:
D
Step-by-step explanation:
Re-write the quadratic function below in Standard Form
y=−2(x−8)(x−2)
y = -2(x - 8)(x - 2)
y = -2(x² -2x -8x +16)
y = -2(x² - 10x + 16)
y = -2x² + 20x - 32
Answer:
y= −2x^2+20x−32
Step-by-step explanation:
y = −2(x−8)(x−2)
= - 2(x^2 - 10x +16)
= - 2x^2 - (-10x)-2. 16
= - 2x^2 +20x - 32
the difference between a number and three fifths is a minimum of negative four sevenths
The inequality that represents the given statement is (C) f - 3 / 5 ≥ -4/7 or f plus 3 over 5 is greater than negative 4 over 7.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
The equation-like form of the formula 5x − 4 > 2x + 3 has an arrowhead in place of the equals sign.
It is an illustration of inequity.
This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.
Finding the x numbers for which the inequality holds true is what we are most interested in.
So, the answer to the query is:
A number's deviation from three-fifths is equal to f - 3/5.
The entire statement is at least four sevenths in the negative.
Therefore, the inequality that represents the given statement is (C) f - 3 / 5 ≥ -4/7 or f plus 3 over 5 is greater than negative 4 over 7.
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Complete question;
Write the inequality for the statement:
the difference between a number and three-fifths is a minimum of negative four sevenths
f minus 3 over 5 is greater than or equal to 4 over 7
f minus 3 over 5 is greater than or equal to negative 4 over 7
f plus 3 over 5 is greater than negative 4 over 7
f minus 3 over 5 is less than or equal to negative 4 over 7
a. find the probability that there will be no accidents during the month at the factory. b. find the probability that there will be 4 or more accidents during the month at the factory. c. given that the factory had at least one accident during the month, find the probability that the factory had 4 or more accidents during the month.
To find the probability for no accidents use the formula P(no accidents) = (1-p)^n, To find the probability that there will be 4 or more accidents use the formula P(4 or more accidents) = 1 - P(0, 1, 2, 3 accidents), and at least one accident during the month, t - use the formula P(4 or more accidents) = 1 - P(0, 1, 2, 3 accidents).
a. To find the probability that there will be no accidents during the month at the factory, use the formula P(no accidents) = (1-p)^n, where p is the probability of an accident occurring and n is the number of trials (in this case, the number of days in the month).
b. To find the probability that there will be 4 or more accidents during the month at the factory, use the formula P(4 or more accidents) = 1 - P(0, 1, 2, 3 accidents), where P(0, 1, 2, 3 accidents) is the probability of 0, 1, 2, or 3 accidents occurring during the month.
c. Given that the factory had at least one accident during the month, the probability that the factory had 4 or more accidents during the month is the same as in part b - use the formula P(4 or more accidents) = 1 - P(0, 1, 2, 3 accidents).
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I need help with trigonometry
Answer:
In alphabetic order:
x can be found with pythagorean theorem, since triangle ADC is right in D.
\(x= \sqrt {7^2-2.2^2} \approx 6.6\)
y and z are 7 times respectively the sine and cosine of angle ACB.
\(y= 7sin\ 52\° \approx 5.5\\z=7 cos\ 52\° \approx 4.3\)
Finally, \(\theta\) can be calculated by determining the arc sine (or inverse sine) of the ratio CD over AC
\(\theta = sin^{-1} (\frac{2.2}7) \approx 18.3\°\)
Question 5 of 5
Find the solution to the following system by substitution.
x + y = 20
y = 3x + 8
A. (7,29)
B. (3, 17)
C. (4,20)
D. (17, 3)
PLEASE HELP ME QUICK! :(
Answer:
B. (3, 17)
Step-by-step explanation:
You want to solve this system of equations by substitution:
x + y = 20y = 3x +8SubstitutionWe are given an expression for y. Substituting that into the first equation gives ...
x + (3x +8) = 20
4x = 12 . . . . . subtract 8
x = 3 . . . . . . divide by 4
y = 3(3) +8 = 17
The solution is (x, y) = (3, 17).
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Multiplying Polynomials
Find each product.
1) 6v(2v + 3) 2) 7(−5v − 8)
3) 2x(−2x − 3)
A polynomial is an equation made up of coefficients and in determinates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.
Multiplying Polynomials Find each product. 1) \(6v(2v + 3) 2) 7(-5v - 8)3) 2x(-2x -3)6v(2v + 3)\)
To distribute the 6v over the binomial 2v + 3, we multiply 6v by each term inside the parenthesis:
\(6v(2v) + 6v(3)\)
\(= 12v^2 + 18v7(-5v - 8)\)
To distribute the 7 over the binomial -5v - 8, we multiply 7 by each term inside the parenthesis:
\(7(-5v) + 7(-8)= -35v - 562x(-2x - 3)\)
To distribute the 2x over the binomial -2x - 3, we multiply 2x by each term inside the parenthesis:
\(2x(-2x) + 2x(-3)= -4x^2 - 6x\)
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Are lines l and m also transversals? Explain *
Answer:
noooooooo
Step-by-step explanation:
Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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What is equivalent to 8^4
Answer:
Step-by-step explanation:
\(8^4=8\times8\times8\times8=4,096\)
Answer:
EVALUATE
4096
\(8^{4}\)
Calculate 4 to the power of 1 and get 4.
\(8^{4}\)
Calculate 8 to the power of 4 and get 4096.
Factor -6 out of 12y - 42.
Need this ASAP!!!
Answer:
6(2y-7)
Step-by-step explanation:
Let Y~N(0,1). Let Z = 27. Find the distribution of Z using the moment generating function technique.
Using the moment generating function technique, we found that the distribution of Z is degenerate with the single value of 27.
To find the distribution of Z, we first need to find its moment generating function.
Recall that the moment generating function of a random variable Y is defined as M_Y(t) = E(e^(tY)). Using this definition, we can find the moment generating function of Z:
M_Z(t) = E(e^(tZ)) = E(e^(27t)) = e^(27t) * E(1) = e^(27t)
Since Z has a moment generating function that is equal to e^(27t), we know that Z follows a degenerate distribution, which means it only takes on one value. In this case, Z only takes on the value of 27.
Therefore, the distribution of Z can be written as:
P(Z = 27) = 1
In summary, using the moment generating function technique, we found that the distribution of Z is degenerate with the single value of 27.
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a student is taking a 3 question multiple choice quiz. each question has 4 options. first, determine the number of possible answer responses.what is the probability that a student completely guesses on every question on the quiz and makes a perfect score of a 100%?
The probability that a student completely guesses on every question and makes a perfect score of a 100% is 1/64 or approximately 0.0156 or 1.56%.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
The number of possible answer responses for each question is 4, since there are 4 options.
The number of possible answer responses for all 3 questions can be found by multiplying the number of possible answer responses for each question. Therefore, the total number of possible answer responses for the quiz is 4 x 4 x 4 = 64.
If the student completely guesses on every question, there is a 1 in 4 chance (or a 25% chance) of getting each question correct. Since there are 3 questions, the probability of getting all 3 questions correct is (1/4) x (1/4) x (1/4) = 1/64.
Therefore, the probability that a student completely guesses on every question and makes a perfect score of a 100% is 1/64 or approximately 0.0156 or 1.56%.
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Question content area top
Part 1
Chloe is making a large table in the shape of a trapezoid, as shown. She needs to calculate the area of the table. She is making the longest side of the table twice as long as the table's width. Complete parts a and b below.
a. The number in the bottom box is 15 yd. The number in the top box is 9 yd.
b. The area of the table is 90 yd².
How to calculate the area of a trapezoid?In Mathematics and Geometry, the area of a trapezoid can be calculated by using this mathematical equation (formula):
Area of trapezoid, A = ½ × (a + b) × h
Where:
a and b represent the base areas of a trapezoid.h represent the height of a trapezoid.Part a.
Since Chloe is making the longest side of the table to be twice as long as the table's width, the number in the bottom box can be calculated as follows;
Bottom box = 2 × 7.5
Bottom box = 15 yd.
For the number in top box, we have:
Top box = 15 - (3 + 3)
Top box = 9 yd.
Part b.
Now, we can determine the area of the table as follows;
Area of table = ½ × (a + b) × h
Area of table = ½ × (15 + 9) × 7.5
Area of table = 90 yd².
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
A garden bed is 4’ by 3’ and a 6’ layer of soil will be spread over the garden. A bag of soil contains 2ft3 of soil how many bags r needed
36 bags of soil are required to spread a 6 feet layer over a garden bed that is 4 feet by 3 feet.
How many bags of soil are required to spread a 4 feet layer over the garden bed?Given information:
The garden bed has a length of 4 feet.
The garden bed has a width of 3 feet.
The layer of soil to be spread over the garden bed is 6 feet.
One bag of soil contains 2 cubic feet of soil.
To find the number of bags of soil required to spread a 6 feet layer over the garden bed, we need to calculate the volume of soil needed and then divide it by the volume of each bag of soil.
The volume of soil needed can be calculated by multiplying the length, width, and height (depth) of the soil:
Volume = length x width x depth
Volume = 4 feet x 3 feet x 6 feet
Volume = 72 cubic feet
This means we need a total of 72 cubic feet of soil to spread a 6 feet layer over the garden bed.
Next, we need to determine the number of bags of soil required. Since each bag contains 2 cubic feet of soil, we can divide the total volume of soil needed by the volume of each bag to get the number of bags required:
Number of bags = Volume of soil needed / Volume of each bag
Number of bags = 72 cubic feet / 2 cubic feet per bag
Number of bags = 36 bags
Therefore, 36 bags of soil are required to spread a 6 feet layer over a garden bed that is 4 feet by 3 feet.
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if y is directly proportional to x when x = 6 and y = 12, write an equation to model the given relationship. Find the value of y if x = -30?
Since we have that y is directly proportional to x, then the relationship can be written like this:
\(y=kx\)Now, since y=12 when x=6, we have the following:
\(\begin{gathered} 12=k(6) \\ \Rightarrow k=\frac{12}{6}=2 \\ k=2 \end{gathered}\)Therefore, the equation would be y = 2x.
Finally, if x=-30, then:
\(y=2(-30)=-60\)The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
O Use the distance formula to find the length of each side, and then add the lengths.
O Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
O Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicula
O Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
Answer:
1. Use the distance formula to find the length of each side, and then add the lengths.
Step-by-step explanation:
Answer:
The correct option is: Use the distance formula to find the length of each side, and then add the lengths.
Step-by-step explanation:
The correct option is: Use the distance formula to find the length of each side, and then add the lengths.
To find the perimeter of a quadrilateral in the coordinate plane, you can use the distance formula to calculate the length of each side. The distance formula is derived from the Pythagorean theorem and can be used to find the distance between two points (x₁, y₁) and (x₂, y₂):
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
By applying this formula to each pair of consecutive vertices in the quadrilateral, you can determine the length of each side. Once you have the lengths of all four sides, you can add them together to find the perimeter of the quadrilateral.
Tina sells lampshades for $7 each and paper lanterns for $4 each at a one-day craft fair. She sells k lampshades and (k + 4) paper lanterns. The expression 7k + 4(k + 4) represents Tina’s total sales. Select all the equivalent expressions for Tina’s total sales at the fair
7k + 4k + 4
7k + 4k + 4
11k + 16
11k + 16
7k + 4k + 16
7k + 4k + 16
8k + 16
8k + 16
11k + 4
Answer: 11k + 16 and 7k + 4k + 16
Step-by-step explanation: if we distribute the 4 first we get
7k+4k+16
we can aslo combine the k's to get
11k+16
hope this is helpful (^_^)
Please Help Me ! Thanks This my Last QUESTION AND I NEED A
Answer:
D
Step-by-step explanation:
0.1m is one tenth of the the total which is the ratio for all the other ones so it would be
0.1m=20
hope that helps if it does plese mark as brainliest.
Answer: A
Step-by-step explanation:
The amount of money he puts on his savings account is 10% of what he makes.
So the answer would be m = 20(0.10)
Multiple Choice: The volume of the square-based pyramid with base edge 9 units and height 48 units is: a. 324 units³ b. 1296 units³ c. 3888 units³ d. not enough information 9 ↑ ¹48 68
The volume of the square-based pyramid is 3888 units³. Your answer is option B. 3888 units³.
The formula to calculate the volume of a pyramid is V = (1/3)Bh,
Where B is the area of the base and h is the height.
In this case, the base is a square with edge length 9 units, so the area is B = 9² = 81 units².
The height is given as 48 units.
Plugging these values into the formula, we get:
To find the volume of a square-based pyramid, you can use the following formula:
V = (1/3) * base area * height.
In this case, the base edge is 9 units and the height is 48 units.
First, find the base area:
A = side * side = 9 * 9
= 81 square units.
Next, calculate the volume:
V = (1/3) * 81 * 48 = 3888 cubic units.
V = (1/3)(81)(48)
V = 1296 units³
Therefore, the volume of the pyramid is 1296 units³, which is option b.
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