Answer:
Complementary angles
Step-by-step explanation:
Complementary angles because the two angles is shared on a same line as each others.
naomi has 42 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (the fourth side of the enclosure would be the river.) the area of the land is 180 square meters. list each set of possible dimensions (length and width) of the field.
The possible sets of dimensions for the rectangular plot of land are (12 m, 15 m) and (15 m, 12 m).
Let's assume the length of the rectangular plot of land is L and the width is W. To build a three-sided fence, the total length of fencing needed would be L + 2W (two widths and one length).
From the given information, we know that the total length of fencing available is 42 m. Therefore, we have the equation L + 2W = 42.
We also know that the area of the land is given by the equation L × W = 180.
To find the possible dimensions, we can solve these two equations simultaneously. By substitution or elimination, we find two sets of dimensions that satisfy the equations:
If we choose L = 12 m and W = 15 m, the perimeter becomes 12 + 2(15) = 42 m, and the area is 12 × 15 = 180 square meters.
If we choose L = 15 m and W = 12 m, the perimeter becomes 15 + 2(12) = 42 m, and the area is 15 × 12 = 180 square meters.
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the prism is cut by a plane that is parallel to the bases of the prism and perpendicular to the height h. what is the shape of the intersection of the prism and the plane? square rectangle with unequal sides triangle trapezoid
When a prism is cut by a plane parallel to its bases and perpendicular to its height h, the shape of the intersection will be a rectangle. It is important to note that the rectangle may have different side lengths depending on the specific dimensions of the prism.
If a prism is cut by a plane that is parallel to the bases of the prism and perpendicular to its height h, the shape of the intersection between the prism and the plane would be a rectangle.
When a plane intersects a prism parallel to its bases, it creates cross-sections that are congruent to the bases. This means that the resulting shape of the intersection will have the same outline as the original bases of the prism.
Since the bases of a prism are typically quadrilaterals with right angles, such as rectangles or squares, the intersection shape will also have those characteristics. In this case, since the prism is cut by a plane parallel to its bases, the intersections will be congruent to the bases and have the same shape.
A rectangle is a quadrilateral with four right angles, and its opposite sides are equal in length. When a prism is cut by a plane parallel to its bases, the resulting intersection shape will maintain these properties and be a rectangle.
Therefore, when a prism is cut by a plane parallel to its bases and perpendicular to its height h, the shape of the intersection will be a rectangle. It is important to note that the rectangle may have different side lengths depending on the specific dimensions of the prism.
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Students will write a 5-page reflection paper about REHB 200. It is expected that each student will comply with appropriate person-first language.
Please note your reflection paper MUST be a minimum of 5 pages. Papers with fewer than 5pages will not be accepted. Write a brief summary of what you will discuss in the body of the paper•
1. Describe three things you did not know about disability before taking this course?•
2. Which video clip(s) did you enjoy the most and why?• Explain what you have learned about laws designed to protect people with disabilities?•
3. Describe your thoughts associated with employment obstacles faced by people with disabilities?•
4. Discuss anything you may have learned about inclusion and "normalizing" disability in society?•
5. Compare and contrast intellectual, physical, cognitive, and psychiatric disability.•
6. Discuss your thoughts about the accessibility audit activity and discussion board questions.•
7. Describe your biggest takeaway from the class.
Closing paragraph: Summarize the main points in the body of your paper
The reflection paper is about REHB 200. Each student is expected to use appropriate person-first language. The paper must be a minimum of 5 pages.
This reflection paper about REHB 200 requires a minimum of 5 pages from each student. The paper must include a summary of what will be discussed in the body of the paper. To write the reflection paper, the following points should be considered: three things not known about disability before taking this course, the favorite video clip(s) and why, laws designed to protect people with disabilities, thoughts associated with employment obstacles faced by people with disabilities, inclusion and normalizing disability in society, compare and contrast intellectual, physical, cognitive, and psychiatric disability, thoughts about the accessibility audit activity and discussion board questions, and biggest takeaway from the class.
In conclusion, this reflection paper about REHB 200 requires a minimum of 5 pages from each student. It is expected that each student will comply with appropriate person-first language. The reflection paper includes a summary of what will be discussed in the body of the paper and must cover several points including the comparison and contrast of intellectual, physical, cognitive, and psychiatric disability.
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Is the following statement a good definition? A cat is an animal that is a mammal
yes or no?
Answer:
yes
Step-by-step explanation:
A cat is a domestic species of small carnivorous mammal. It is the only domesticated species in the family Felidae and is often referred to as the domestic cat to distinguish it from the wild members of the family. A cat can either be a house cat, a farm cat or a feral cat; the latter ranges freely and avoids human contact.
So, it will be considered as a yes.
-1+x=-5 please help me
Answer:
x = -4
Step-by-step explanation:
\(-1 + x = -5\\x = -4\)
course grade what is the probability that a randomly selected student earned a b- or better on the quizzes?
Answer:
Without specific information about the distribution of grades or the number of students, we cannot calculate the probability.
The probability that a randomly selected student earned a B- or better on the quizzes is approximately 15.87%, assuming a normal distribution of grades with a mean of 75 and a standard deviation of 5.
We first need to understand the distribution of grades in the class. We assume that the grades are normally distributed, with a mean of μ and a standard deviation of σ. This means that the majority of the grades will be clustered around the mean, with fewer students getting grades farther from the mean.
To find the probability that a randomly selected student earned a B- or better on the quizzes, we need to determine the z-score associated with that grade. A z-score measures the distance between a raw score and the mean, in terms of standard deviations. It tells us how unusual or typical a score is within the distribution.
To calculate the z-score, we use the formula:
z = (x - μ) / σ
Where x is the grade we're interested in, μ is the mean of the distribution, and σ is the standard deviation.
Assuming that a B- is equivalent to a numerical grade of 80, and that the mean quiz grade is 75 with a standard deviation of 5, we can calculate the z-score for a B- as follows:
z = (80 - 75) / 5 = 1
Now that we know the z-score associated with a B-, we can look up the probability of getting a score that high or higher in a normal distribution table or use a calculator. For example, using a table, we can find that the probability of getting a z-score of 1 or greater is about 0.1587. This means that approximately 15.87% of students in the class earned a B- or better on the quizzes.
In conclusion, the probability that a randomly selected student earned a B- or better on the quizzes is approximately 15.87%, assuming a normal distribution of grades with a mean of 75 and a standard deviation of 5.
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f(-4)= x^2 + 4
The value of f(-4)
Answer:
f
(
2
)
=
6
Explanation:
To evaluate f(2), substitute x = 2 into f(x).
Step-by-step explanation:
Fred sold 14 rolls of wrapping paper for a band fundraiser earning the band $17. 50. Sharon sold 16 rolls of wrapping paper and earned $20. 00 for the band. If this relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis, what is the slope of the graph in dollars per roll?.
Answer: $1.25 Per Roll
Step-by-step explanation:
(14,17.50) and (16,20)
does a line with the slope of 0 have a y intercept?
Answer:
Yes
If this help please set brainliest.
Step-by-step explanation:
Yes, a line with a slope of 0 is a horizontal line. It will always intersect the y-axis at a single point, which is known as the y-intercept. The y-intercept is the point where the line crosses the y-axis, and it is represented by the equation y = b, where b is the y-intercept.
For example, consider the line y = 2. This line has a slope of 0 and an y-intercept of 2. It is a horizontal line that passes through the point (0, 2) on the coordinate plane.
Resuelve el siguiente problema de fracciones y escoge la alternativa correcta: Jaime compra una propiedad en 84000 dólares y después de un año la vende ganando los 1/4 del precio de compra. ¿Cuánto fue la ganancia? *
Answer:
$21,000
Step-by-step explanation:
Solve the following fraction problem and choose the correct alternative: Jaime buys a property for $ 84,000 and after one year sells it earning 1/4 of the purchase price. How much was the profit? *
The amount of profit is calculated as
1/4 of the purchase price
Purchase price = $84,000
= 1/4 of $84,000
= 1/4 × $84,000
= $21,000
Therefore, the amount of the profit = $21,000
evaluate the indefinite integral as an infinite series. x^2sin(x^2)
To evaluate the indefinite integral of x^2sin(x^2) as an infinite series, we can use the power series representation of the sine function:
sin(x) = Σ((-1)^n * x^(2n+1)) / (2n+1)!, where n = 0, 1, 2, ...
Now, we substitute x^2 into the sine function:
sin(x^2) = Σ((-1)^n * (x^2)^(2n+1)) / (2n+1)!
Now, we integrate x^2sin(x^2) with respect to x:
∫(x^2sin(x^2)) dx = ∫(x^2 * Σ((-1)^n * (x^2)^(2n+1)) / (2n+1)!) dx
We can move the summation outside the integral:
Σ((-1)^n * ∫(x^(4n+5)) / (2n+1)!) dx, where n = 0, 1, 2, ...
Now, we integrate the remaining term with respect to x:
∫(x^(4n+5)) dx = (x^(4n+6))/(4n+6) + C
So the indefinite integral as an infinite series is:
Σ((-1)^n * (x^(4n+6))/(4n+6)(2n+1)!) + C, where n = 0, 1, 2, ...
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Find the smallest number a such that A + BB is regular for all B> a.
The smallest number a such that A + BB is regular for all B > a can be determined by finding the eigenvalues of the matrix A. The value of a will be greater than or equal to the largest eigenvalue of A.
A matrix A is regular if it is non-singular, meaning it has a non-zero determinant. We can consider the expression A + BB as a sum of two matrices. To ensure A + BB is regular for all B > a, we need to find the smallest value of a such that A + BB remains non-singular. One way to check for singularity is by examining the eigenvalues of the matrix A. If the eigenvalues of A are all positive, it means that A is positive definite and A + BB will remain non-singular for all B. In this case, the smallest number a can be taken as zero. However, if A has negative eigenvalues, we need to choose a value of a greater than or equal to the absolute value of the largest eigenvalue of A. This ensures that A + BB remains non-singular for all B > a.
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2. Un auto viaja a 60 km/h y se detiene a los 2 segundos. qué distancia recorrió en el
frenado? ¿qué aceleración adquirió? ¿Si la aceleración es positiva o negativa, explica
por qué?
Se calcula que la aceleración es - 8,35 m/s.
¿Qué es la aceleración?Ahora sabemos lo siguiente de la pregunta;
Velocidad inicial (u) = 60 km/h o 16,7 m/s
Tiempo empleado (t) = 2 s
Dado que;
v = tu + en
v = 0 m/s porque el carro se detenía
tu = -en
a = -(u/t)
a= -1(6,7 m/s/2 s)
a =- 8,35 m/s
La aceleración es negativa porque la velocidad disminuye con el tiempo.
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(2x3 - 5x2 + 3x + 7) /(x - 2)
Answer:
2x^2 - x + 1 + 9/(x - 2)
Step-by-step explanation:
Long division:
x - 2 )2x^3 - 5x^2 + 3x + 7 (2x^2 - x + 1 <------------Quotient.
2x^3 - 4x^2
-x^2 + 3x
-x^2 + 2x
x + 7
x - 2
9 <-------Remainder.
what is the volume of this shape
Answer:
C -- 72
Step-by-step explanation:
Formula B x W x H
B = base
W = with
H = hight
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Josh makes $37.25 selling candy for his football team fundraiser. The team makes 1,000 times as much money in all than jush does by himself. How much
money does the team make?
Answer:
The team makes $37,250
Step-by-step explanation:
Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?
Answer:
4(x + 3) + 2x and 6(x + 2) are equivalent
Step-by-step explanation:
The best prove why two expressions must be equivalent is,
1. Simplify each expression to its simplest form
2. Show that the simplest form of them are equal
Let us do that with the given expressions
∵ The 1st expression is 4(x + 3) + 2x
→ At first, multiply the bracket (x + 3) by 4
∵ 4(x + 3) = 4(x) + 4(3) = 4x + 12
∴ The 1st expression = 4x + 12 + 2x
→ Add the like terms
∴ 4x + 12 + 2x = (4x + 2x) + 12 = 6x + 12
∴ The 1st expression = 6x + 12
∴ The simplest form of the 1st expression is 6x + 12
∵ The 2nd expression is 6(x + 2)
→ Multiply the bracket (x + 2) by 6
∵ 6(x + 2) = 6(x) + 6(2) = 6x + 12
∴ The 2nd expression = 6x + 12
∴ The simplest form of the 2nd expression is 6x + 12
∵ 6x + 12 = 6x + 12
∴ The simplest form of the two expressions are equal
∴ The expressions are equivalent
∴ 4(x + 3) + 2x and 6(x + 2) are equivalent
If $f(x)$ is a polynomial of degree 3, and $g(x)$ is a polynomial of degree 5, then what is the degree of polynomial $2f(x) + 4g(x)$?
Answer:
Degree 5
Step-by-step explanation:
Given
Degree of f(x) = 3
Degree of g(x) = 5
Required
Degree of 2f(x) + 4g(x)
Analyzing both polynomialsf(x)2f(x) means 2 * f(x)
Since 2 is a constant
Multiplying f(x) by 2 will result in a polynomial with a degree of 3
Hence 2f(x) has a degree of 3
g(x)4g(x) means 4 * g(x)
Since 4 is also a constant
Multiplying g(x) by 4 will result in a polynomial with a degree of 5
Hence 4g(x) has a degree of 5
Having said that;
When 2 polynomials of different degrees are added together, the degree of the result will be the higher degree of both polynomials;
This means that;
Adding a polynomial of degree 3 and another of degree 5 will result in a polynomial of degree 5
helppp!! I NEED HELP PLEASE
Given:
The table of values for the function f(x).
To find:
The values \(f^{-1}(f(3.14))\) and \(f(f(-7))\).
Solution:
From the given table, it is clear that the function f(x) is defined as:
\(f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}\)
We know that if (a,b) is in the function f(x), then (b,a) must be in the function \(f^{-1}(x)\). So, the inverse function is defined as:
\(f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}\)
And,
\(f^{-1}(f(a))=f^{1}(b)\)
\(f^{-1}(f(a))=a\) ...(i)
Using (i), we get
\(f^{-1}(f(3.14))=3.14\)
Now,
\(f(f(-7))=f(-12)\)
\(f(f(-7))=5\)
Therefore, the required values are \(f^{-1}(f(3.14))=3.14\) and \(f(f(-7))=5\).
32 + 40 二
(6 + 3) = 12 (4+
32 + 40 二
(6 + 3) = 12 (4+
Answer:
4+ what?
Step-by-step explanation:
if cos<0 and sin>0 what quadrant is it in?
Answer:
Quadrant 4 (Q IV)
Step-by-step explanation:
Brainliest if this helps please? :)
A financial analyst wants to set up a hypothesis test to determine if the mean yearly salaries of teachers, tutors, and professors are the same. What would be the correct setup for the null and alternative hypotheses for this test
Null hypothesis (H0): There’s no effect in the population. Alternative hypothesis (Ha or H1): There’s an effect in the population.
Which null and alternative hypotheses are correct?The null and alternative hypotheses are two opposing ideas that researchers use a statistical test to analyze evidence for and against: The null hypothesis (H0) states that there is no influence in the population. Alternative hypothesis (Ha or H1): There is a population effect.
Identify the null and alternative hypotheses.
As well as the sample size, specify.
Choose a suitable statistical test.
Gather information (note that the previous steps should be done prior to collecting data)
Based on the sample data, compute the test statistic.
Examine the null hypothesis, usually indicated by H0.
Always write the alternative hypothesis, which is usually marked by Ha or H1, with less than, greater than, or not equals symbols, i.e., (,>,or).
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2 3/5 times 3 1/3
NEED ASAP
Answer:
Answer is: 8 2/3 but improper is 26/3
Is this correct???????
Independent random samples taken at two companies provided the following information regarding annual salaries of the employees. The population standard deviations are also given below. Company A Company B Sample Size 72 50 Sample Mean (in $1000) 48 43 Population Standard Deviation (in $1000) 12 10 a. We want to determine whether or not there is a significant difference between the average salaries of the employees at the two companies. Compute the test statistic. b. Compute the p-value; and at a=.05, test the hypotheses. c. Which company, if either, appears to have the higher salary? Provide a 95% confidence interval for the difference between the population mean salary of employees for the two companies.
a 95% confidence interval for the variation in the average employee salary for the two companies.
a. The test statistic is calculated by subtracting the sample mean of Company A from the sample mean of Company B, and then dividing the result by the square root of the variance, which is calculated by summing the population standard deviations of Company A and Company B, and then dividing by the sum of the sample sizes of Company A and Company B.
Test statistic = (48 - 43) / √(12^2 + 10^2) / (72 + 50) = 0.766
b. The p-value is calculated by using the test statistic to look up the value in a t-distribution table with degrees of freedom equal to the sum of the sample sizes minus two. The p-value is 0.239.
At a=.05, the null hypothesis that there is no difference between the average salaries of the employees at the two companies cannot be rejected.
c. Company A appears to have the higher salary. The 95% confidence interval for the difference between the population mean salary of employees for the two companies is (3.073, 5.927).
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Ali's tyre pressure gauge shows a reading which is 8% lower
than the actual pressure.
What is the actual pressure of Ali's tyres when the gauge shows 33.58?
The actual pressure of Ali's tyres when the gauge shows 33.58 is 36.5
A percentage is a number or ratio expressed as a fraction of one hundred. To find the percentage of a number, divide it by the whole and multiply by 100. As a result, the percentage represents one part in a hundred. The symbol % stands for one hundred percent. It's represented by the symbol "%."
Given that
Ali's tyre pressure gauge displays a reading that is 8% less than the actual pressure.
We have to find the actual pressure of Ali's tyres when the gauge shows 33.58
Let the actual pressure be x
= X x (92/100) = 33.58
= X = (33.58x100)/92
X = 3358/92
= 36.5
Therefore the actual pressure of Ali's tyres when the gauge shows 33.58 is 36.5
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Can someone help? this is the only problem I don’t understand for my math test.
Answer:
a. (f+g)(x)
Step-by-step explanation:
\(7x^{3} + 12x^{2} +4x - 2\)
What is the smallest degree of rotation that will map a regular 15-gon onto itself
Answer:
13
Step-by-step explanation:
h^6 −64p^6 its trig its factoring the diff/sum of cubes
Answer:
for example lets say: (x+2)(x-2)(
x
4
+4
x
2
+16)
Rewrte the given terms as perfect cubes as follows and use the algebraic identity for the factorisation of difference of two cubes.
x
6
-64 =
(
x
2
)
3
-
(
4
)
3
=(
x
2
-4) (
x
4
+4
x
2
+16)
=(x+2)(x-2)(
x
4
+4
x
2
+16)
Step-by-step explanation:
do u think its correct?
A study in which neither the subjects nor the experimenters know which
subjects have received a placebo is called a ______ experiment.
A. Control
B. double-blind
C. Response-variable
D. Biased
Answer:
B. double-blind
Step-by-step explanation:
Answer:
AB
Step-by-step explanation: