What is the vertex of the quadratic function below?
y = x2 + 12x - 7
Answer:
(6,101)
Step-by-step explanation:
x value of vertex is given by b/2a in quadratic.
b=12 and a=1
that gives you a 6, then plug in x=6 in the quadratic equation and that gives you
y=101
graph f(x) = x^2 and g(x) = 2^x for x
Answer:
Step-by-step explanation:
in a certain company 120 of the employees are men. what is the total number of employees if 5 out of every 8 employees are men?
Answer:
There are 192 employees in the company.
Step-by-step explanation:
Let x be the total number of employees
Use ratio and proportion
\(\frac{120}{x} =\frac{5}{8} \\5x = 120(8)\\5x = 960\\\frac{5x}{5} = \frac{960}{5} \\x = 192\)
x = 192
Why do you think the court case about erin's accident turned out the way it did
This is a complex question that requires a long answer, as there are likely multiple factors that contributed to the outcome of Erin's court case. One possible reason could be the strength of the evidence presented by each side. It's possible that Erin's legal team was able to provide compelling evidence that demonstrated the other party was at fault for the accident, which swayed the jury's decision in her favor. Additionally, the skills and experience of the attorneys involved, as well as the judge presiding over the case, may have also played a role in the outcome. Other factors such as the emotional impact of the accident on those involved, as well as any biases or preconceived notions the jury may have held, could have influenced the final decision. Ultimately, it's impossible to say for certain what specifically led to the outcome of the case without more information, but it's likely that a combination of these and other factors all played a part.
In the court case regarding Erin's accident, the outcome was likely influenced by factors such as the evidence presented, the credibility of witnesses, and the legal arguments made by both sides. Additionally, the judge or jury's interpretation of the relevant laws and regulations played a crucial role in determining the final verdict. Overall, the combination of these elements contributed to the specific outcome of Erin's case.
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pls help me , i need this
What is a outlier in math example?
In a dataset or graph, outliers are extreme values that greatly deviate from the dominant pattern of values.
How do you find the outlier in math?In order to identify the outlier, search for a value that is significantly greater or smaller than all the other values. Due to its extreme size compared to all other numbers, the number 267 is an outlier.
a value that "lies outside" (i.e., is significantly smaller or substantially bigger) most of the other values in a set of data For instance, both 3 and 85 in the scores 25, 29, 3, 32, 85, 33, 27 and 28 are "outliers".
A data point that is an outlier in a data graph or dataset you are dealing with is one that is extraordinarily high or extraordinarily low in comparison to the nearest data point and the rest of the nearby coexisting values. Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.
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A linear function has a y-intercept of 3 and passes through the point (3, 7). Tom compared the slope of the function to the slope of 4x - y = 5. What is the difference in the two slopes?
Answer:
mom mom mom mom mom mom b mom
3-1/8a=1/4
Pleasseeee help
Find the general solution of the given differential equation.
(x + 1) dy/dx + (x + 2)y = 2xe^-x
y=
The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.
How to solve the given differential equation (DE)?To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:
1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).
So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)
2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:
d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)
3. Integrate both sides of the previous equation with respect to x to obtain:
e^(x^2/2 + 2x) y = - e^(-xy) + C
where C is the constant of integration.
4. Solve for y by dividing both sides by the integrating factor:
y = [- e^(-xy) + C] e^(-x^2/2 - 2x)
This is the general solution of the given DE.
Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.
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Chapter Name :-
Matrices and Determinants
If \( A = \sf\left [\begin{array}{ccc}\omega&0\\0&\omega\end{array}\right]\) then find out value of \(\pink{\sf A ^{20226397596}}\)
Don't Spam!
Step-by-step explanation:
This is a inverse. matrix because we have alternating
zeroes and the w symbol it looks similar to the matrix,
[ 1 0]
[ 0 1]
Except, we just replace 1 with q. So we also know that if we multiply a inverse like matrix by itself, a infinite number times, it going to stay the same.
However, since we have variables in place for 1, we would raise the matrix to an nth power.
Because remeber that a inverse matrix has 1, an that
\(1 {}^{n} = 1\)
So since we have a variable, we just raised it to the nth number.
We know that Zeroes raised to any power is 0, so w raised to the
^20226397596 is infact, w^20226397596, so our matrix is just
[w^20026397596 0]
[ 0 w^20026397596]
The value for \(A^{20226397596}\) is \(\left[\begin{array}{cc}\omega^{20226397596}&0\\0&\omega^{20226397596}\end{array}\right] \).
Procedure - Determination of the power of a matrix
Let be \(A\) a diagonal matrix. By linear algebra we know that the n-th power of diagonal matrix of the form \(\left[\begin{array}{cc}\omega&0\\0&\omega\end{array}\right] \) is equal to:
\(A^{n} = \left[\begin{array}{cc}\omega^{n}&0\\0&\omega^{n}\end{array}\right] \), \(\forall\, n \ge 1\), \(n\in \mathbb{N}\) \(\forall \,\omega \in \mathbb{R}\) (1)
Hence, we have the following result for \(A^{20226397596}\):
\(A^{20226397596} = \left[\begin{array}{cc}\omega^{20226397596}&0\\0&\omega^{20226397596}\end{array}\right] \)
The value for \(A^{20226397596}\) is \(\left[\begin{array}{cc}\omega^{20226397596}&0\\0&\omega^{20226397596}\end{array}\right] \). \(\blacksquare\)
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solve the question.
Answer: 1
\((\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1\)
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words.
For this item, if the answer is not a whole number, enter it as a fraction in simplest form using / as the fraction bar.
Isolde is stacking books. The stack of books forms a rectangular prism.
Each book is the same size. Isolde knows the area of the base of one book is 22 1/2 square inches and each book is 3/4 inch thick.
The volume of a stack of 9 books is cubic inches.
The volume of a stack of 9 books is 1368.75 cubic inches.
Volume of a book stackTo find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.
Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.
Therefore, the volume of the stack of 9 books is:
Volume = Area of base x heightVolume = (202 1/2 square inches) x (6 3/4 inches)Volume = 1368.75 cubic inchesMore on volume of stacked books can be found here: https://brainly.com/question/1058070
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Solve x in the triangle. Round your answer to the nearest tenth
Answer:
9.5
Step-by-step explanation:
Im just bult different.
ayo if i get this right can i get brainliest, i only need 2 more brainliest to get to the next rank :)
add xy+ 5yz - 2xz, 4yz + 3xy +5xz, xz +2xy + 3yz
please help me
thanks
..no lo sé, pero como necesito puntos, ¿sí?
in a research study, if the obtained mean of the observations is close to the population parameter, then in one sense the sample is considered representative of the target population. group of answer choices true false
The given statement is True because If the sample mean is close to the population parameter, it suggests representative sampling regarding the variable of interest, although other factors should be considered too.
When the sample mean closely approximates the population parameter, it indicates that the sample is capturing the central tendency of the population. The mean is a measure of central tendency that reflects the average value of the variable of interest in the population.
If the sample mean is similar to the population mean, it suggests that the sample is a good representation of the population in terms of that particular variable.
However, it is important to note that representativeness is a relative concept. A sample may be considered representative in one sense but not necessarily in all aspects. Other factors, such as the sampling method, sample size, and sampling bias, also influence the representativeness of a sample.
In summary, when the obtained mean of the observations in a research study is close to the population parameter, it provides evidence that the sample is representative of the target population to some degree, indicating that the sample captures the central tendency of the population for the variable under investigation.
However, representativeness should be assessed in consideration of other factors as well.
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What is the euclidean distance between x(3,2,5) and y(2,3,3) in three dimensional space?
a) 4
b) 2. 45
c) 3
d) 1. 5
Answer:
b) 2.45
Step-by-step explanation:
The Euclidean distance in 3-space is the root of the sum of the squares of the x-, y-, and z-differences between the points.
ApplicationFor the given points ...
\(x(3,2,5)=(x_1,y_1,z_1)\quad\textsf{and}\quad y(2,3,3)=(x_2,y_2,z_2)\)
The distance between x and y is ...
\(d=\sqrt{(x_2-x_1)^2+(y_2=y_1)^2+(z_2-z_1)^2}\\\\d=\sqrt{(2-3)^2+(3-2)^2+(3-5)^2}=\sqrt{1+1+4}\\\\d=\sqrt{6}\approx2.45\)
Popcorn at a concession stand comes in two different sized containers. (Picture of question below) (pls pls help I need this right now, will name brainliest)
The volume of the large container of popcorn is 565.2 in³
This is 4.44 times the volume of the small container.
We have,
The popcorn container is in the shape of a cylinder.
The volume of the popcorn container.
= πr²h
Now,
The volume of the smaller popcorn container.
Diameter = 4 in
Radius = 2 in
Height = 4.5 in
Volume = 3.14 x 2 x 2 x 4.5 = 565.2 in³
The volume of the larger popcorn container.
Diameter = 1.5 x 4 in = 6 in
Radius = 3 in
Height = 4.5 in
Volume = 3.14 x 3 x 3 x 4.5 = 127.17 in³
Now,
127.17 x M = 565.2
M = 565.2/127.17
M = 4.44
Thus,
The volume of the large container of popcorn is 565.2 in³
This is 4.44 times the volume of the small container.
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can anyone solve please
Answer:
1) f = 16
2) h = 10
Step-by-step explanation:
all interior angles of a triangle add up to 180 degrees.
1) 46 + 67 + (4f+3) = 180
reduce:
4f+3 = 67
4f = 64
f = 16
2) 60 + 3h + 90 = 180
3h = 30
h = 10
If John pays $144 for 9 pounds of pears, how much is each pound
Answer:
$16 per pound
Step-by-step explanation:
We want to find the price per pound.
Therefore, we must divide the cost by the pounds.
\(\frac{cost}{pounds}\)
We know it costs $144 for 9 pounds of pears. Therefore, $144 is the cost and there are 9 pounds.
\(\frac{\$144}{9 pounds}\)
Divide.
\(\$16 /pound\)
It costs $16 for each pound of pears.
find the measure of each interior angle of a regular polygon with the following number of sides 10
Answer:
36 will be the measure.
Hope it helps!!!
Step-by-step explanation:
Complete the proof that △TVX~△WUX.
Answer:
It's the first sign of the similarity of triangles(2 angles are equal; ∡T = ∡W; ∠UXW = ∠TXV)
△TVX ~ △WUX
What is the y-intercept of the line shown?
1
0
10
2
4
-10
ОО
01
03
3.5
Answer:
y-intercept = 3
Step-by-step explanation:
value that's on the y - axis
Solve for z. Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
9514 1404 393
Answer:
45.6
Step-by-step explanation:
9514 1404 393
Answer:
45.6
Step-by-step explanation:
There is a geometric mean rule that is derived from the fact that all of these right triangles are similar. It tells you the side (27) is the geometric mean of the hypotenuse (z) and the segment of it adjacent to that side (16).
27 = √(16z)
z = 27²/16 = 45.5625
z ≈ 45.6
!
in linear regression, what are we trying to forecast? a) Beta parameter
b) Dependent variable
c) Independent variable
d) Y-intercept of the linee
In linear regression, we are trying to forecast the dependent variable based on the independent variable.
Option C is the correct answer.
We have,
In linear regression, the dependent variable is the outcome variable or the response variable that we want to predict or explain, while the independent variable is the predictor variable or explanatory variable that helps us in predicting the dependent variable.
The beta parameter and y-intercept are coefficients of the linear regression equation that help in determining the relationship between the dependent and independent variables.
Thus,
In linear regression, we are trying to forecast the dependent variable based on the independent variable.
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A linear function has an x-intercept of 8 and a y-intercept of 4 . which of these is an equation of the linear function?
The linear function is y = (-1/2)x + 4.
What is a linear function?
A linear function whose graph is a straight line and which is represented by an equation of the form y = ax + b where a and b are constants, a does not equal zero, and x is any real number.
Here, we have
Given,
A linear function has an x-intercept of 8 and a y-intercept of 4.
So, The two points on the line are (8, 0) and (0, 4).
Now, slope(m) = (4 - 0)/(0 - 8).
slope(m) = -4/8.
slope(m) = -1/2.
As it has a y-intercept of 4 it is the value of b, In y = mx + b.
Hence, the linear function is y = (-1/2)x + 4.
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Which property of operations can be used to rewrite the expression without the parentheses?
Answer:
The Commutative Properties of Addition and Multiplication ... in an addition expression can be grouped in different ways without changing the sum. ... Mathematicians often use parentheses to indicate which operation should be done ... Rewrite 7 + 2 + 8.5 – 3.5 in two different ways using the associative property of addition.
Step-by-step explanation:
I learned this and i still know it. I dont have a explanation
How many pages is 5000 words in Times New Roman 12?
By using the unitary method to set up a proportion, we were able to determine that 5000 words in Times New Roman 12 font would be approximately 20 pages when double-spaced with 1-inch margins.
To determine how many pages 5000 words would be in Times New Roman 12 font, we first need to understand the concept of a unitary method. In mathematics, a unitary method is a technique used to solve problems that involve proportions or ratios. It involves finding a single unit or value and using that to determine other values or units.
In this case, we can use a unitary method to determine how many pages 5000 words would be. First, we need to know how many words are typically on a page in Times New Roman 12 font. This can vary depending on factors such as spacing and margin size, but as a general rule, a page with Times New Roman 12 font, double-spaced with 1-inch margins, can hold around 250 words.
Using this value, we can set up a proportion:
250 words = 1 page
5000 words = x pages
To solve for x, we can cross-multiply:
250 x x = 5000
Dividing both sides by 250 gives us:
x = 20
Therefore, 5000 words in Times New Roman 12 font would be approximately 20 pages when double-spaced with 1-inch margins.
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30% of the swimming team are girls. If there are 18 girls. How many are in the team
altogether?
Answer:
60 people are in the team altogether
Answer:
60
Step-by-step explanation:
to find the percentage of girls on the swim team, you would multiply a number by 30 percent. to find the number in all, you would divide 18 by 30 percent
18/0.3 = 60
there are sixty people on the swimming team
Cheyenne bought 60 tickets for rides at an amusement park. Each ride costs 4 tickets, and Cheyenne has been on x rides so far. Write an expression is equivalent to the number of tickets that Cheyenne has left?
Answer:
x=number of rides taken
y=number of tickets left
60=4(x)+y