Answer:
hope this will help you (✿^‿^)
Step-by-step explanation:
by Pythagorean theorem
h²=p²+b²
12²=9²+b²
b²=12²-9²
b=√63
b=7.9372
MOD Pizza purchased a new brick-fired oven for $14,500. If they make a profit of $3 for every pizza they sell, how many pizzas must be in order to make their money back on the purchase of the oven?
Answer:
4,834
Step-by-step explanation:
$14,500/($3 / pizza) = 4833.3 pizzas
MOD Pizza must sell 4,834 pizzas to cover the cost of the oven.
Find m/TRS if m/1 = 2x + 4 and
m/2= 3x - 3.
T
P
S
1
R
If the angles are ∠1 = 2x + 4 and ∠2 = 3x - 3, then m∠TRS = 36°.
What is an angle?
An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
The measure of ∠1 = 2x + 4
The measure of ∠2 = 3x - 3
The measure of ∠TRS is -
∠TRS = ∠1 + ∠2
Since, PR is a bisector then ∠1 = ∠2.
The equation is -
2x + 4 = 3x - 3
2x - 3x = - 3 - 4
-x = -7
x = 7
Substitute the value of x in the angles -
∠1 = 2(7) + 4
∠1 = 14 + 4
∠1 = 18°
∠2 = 3(7) - 3
∠2 = 21 - 3
∠2 = 18°
So, the value of ∠TRS is -
∠1 + ∠2
18° + 18°
36°
Therefore, the measure of ∠TRS is 36°.
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Which graphic presentation of data displays its categories as rectangles of equal width with their height proportional to the frequency or percentage of the category. a. time series chart. b. proportion. c. cumulative frequency distribution. d. bar graph
Bar graphs can be used to display both discrete and continuous data, making them a versatile tool for visualizing a wide range of information.
The graphic presentation of data that displays its categories as rectangles of equal width with their height proportional to the frequency or percentage of the category is called a bar graph.
In a bar graph, the bars represent the categories being compared and are arranged along the horizontal axis, with the height of each bar representing the frequency or percentage of the category being displayed.
Bar graphs are a useful tool for presenting numerical data in a visually appealing way, making it easy for viewers to compare different categories and draw conclusions from the data.
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remove brackets and simplify
5(x-3)-3(x-5)
Answer:
2x
Step-by-step explanation:
.............................not sure
Answer:
2(x-6)
Step-by-step explanation:
\( \rm \rightharpoonup \: 5(x - 3) - 3(x - 3) \\ \rm \rightharpoonup \: 5x - 15 - 3x + 3 \\ \rm \rightharpoonup \: 5x - 3x - 15 + 3 \\ \rm \rightharpoonup \: (5 - 3)x - 12 \\ \rm \rightharpoonup \: 2x - 12 \\ \rm \rightharpoonup \: 2(x - 6)\)
if line CE bisects line FG, DG= DE, CE= 42 feet and CD= 29 feet, find FG
The length of segment FG is 26 feet.
What is Straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point.
Given that line CE bisects line FG.
DG= DE,
The length of segment CE is forty two feet.
CE=42 feet.
The length of segment CD is Twenty nine feet.
CD=29 feet.
We need to find the length of FG.
Firstly let us find the length of DE.
CE-CD=DE
42-29=13 feet.
As DG=DE then the length of DG is 13 feet.
DG=DF=13
FG=DG+DF
=13+13=26 feet.
Hence, if line CE bisects line FG, DG= DE, CE= 42 feet and CD= 29 feet then FG is 26 feet.
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Please help it’s with applying Rational numbers. First to answer is Brainliest!!!!!!!!
Donna is hanging a poster on her wall she wants to center it horizontally. The poster is 25 7/10 inches long, the space between the right edge of the poster and the right edge of the wall is 50 1/4 inches in the wall is 134 1/5 Inches long. Is the picture centered? Use the numbers given to find out, and use estimation to check if your answer is reasonable.
Answer:
The poster is not centered.Step-by-step explanation:
In the image attached you can observe a representation of this situation.
First, we need to transform each mixed number to a fraction.
\(25 \frac{7}{10}=\frac{257}{10}=25.70 \ in\)
\(50 \frac{1}{4} =\frac{201}{4} =50.25 \ in\)
\(134 \frac{1}{5} = \frac{671}{5} =134.20 \ in\)
Now, if the poster is centers, then the distance to the wall on the right and on the left, must be equal. We know that the space on the right is 50.25 inches. Then, we subtract to find the other side
\(134.20-50.25-25.70=58.25 \ in\)
So, the space in the left side of the poster is 58.25 inches long.
Therefore, the poster is not centered.
Kylie went into a grocery store and bought 5 apples and 4 bananas, costing a total of $10.50. Lily went into the same grocery store and bought 10 apples and 5 bananas, costing a total of $16.50. Determine the price of each apple (x) and the price of each banana (y). Remember, write it as money, with the whole and the decimal to the hundredths place!
Answer:
Apples $0.90 / Bananas $1.50
Step-by-step explanation:
So The equations would look like this
5x + 4y = 10.5
10x + 5y = 16.5
Solving for x, we get 2.1 - 4/5y
Substitute x
10(2.1 -4/5y) +5y = 16.5
Solving for y, we get 3/2 or 1.5
Substitute y
x = 2.1 -4/5(3/2)
x = 9/10
Now check the equations with the answers
5(9/10) + 4(3/2) = 10.5 -> 21/2 = 21/2
10(9/10) + 5(3/2) = 16.5 -> 33/2 = 33/2
Which means apples cost $0.90 and bananas cost $1.50
Mo and Alex share some raisins in the ratio 7:5. Mo gets 14 more raisins than Alex. How many raisins did they share?
Answer:
8.12:5.8
Step-by-step explanation:
you use adam
add=7+5=12
divied=14 divided by 12=1.16
multiply
7x1.16=8.12
5x1.16=5.8
Answer:84
Step-by-step explanation: first find the difference between 7 and 5 which is 2 this means that 14 = 2 . ? = 7 . ? = 5 . to find the ? = 7 you divide 14 by 2 which is 7. this means that 7 = 1 . multiply 7 by 7 to get 49 .
49 = 7 . do the same thing with ? = 5 , 7 multiplied by 5 = 35 . 35 = 5 .
7:5 = 49:35 . to get How many raisins they shared just get the sum of 49+35 which is 84
the exaggeration of the eye size on sumerian votive sculptures likely symbolizes their ____.
The exaggeration of the eye size on Sumerian votive sculptures likely symbolizes their importance in the spiritual world. In Sumerian culture, eyes were believed to be the windows to the soul and were associated with divinity.
By emphasizing the size of the eyes on their votive sculptures, the Sumerians were likely indicating the spiritual power and significance of the figures represented.
Additionally, the Sumerians believed that the gods were ever-watchful and all-seeing, and the large eyes on their votive sculptures may also represent this idea. By creating figures with oversized eyes, the Sumerians may have been depicting the deities as constantly vigilant and aware of the actions of their followers.
Another interpretation of the large eyes on Sumerian votive sculptures is that they symbolize the ability to see beyond the physical world and into the realm of the divine. The Sumerians believed in the existence of a spiritual realm and may have used the large eyes on their sculptures to represent the ability to perceive and connect with this realm.
Overall, the exaggeration of the eye size on Sumerian votive sculptures likely symbolizes the importance of spiritual connection, the watchful nature of the gods, and the ability to see beyond the physical realm.
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A group of preschoolers has 7 boys and 19 girls. What is the ratio of girls to boys?
Answer:
2.71:1
Step-by-step explanation:
You find how many girls there are for every boy
Suppose chocolate costs $17.60 per kilogram. Karega buys 25 grams of chocolate and Samadhi buys 100 grams of chocolate.
How much more did Samadhi pay for her chocolate?
0.44
1.32
2.20
2.64
Answer:
The answer is $1.32 :)
Step-by-step explanation:
Answer:
1.32
Step-by-step explanation:
i tested at risk its correct have nice day :>
4. Show that the matrix [XX-X'Z(ZZ)-¹Z'X). where both the x & matrix X and the x matrix Z. have full column rank and m2, is positive definite. Discuss the implications of this result in econometrics.
To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.
Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:
A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'. The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric. Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v
Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.
When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.
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the volume of the simplex with vertices at the origin and the standard basis vectors in nn dimensions
The volume of the simplex is 1^n. So , the volume of the simplex with vertices at the origin and the standard basis vectors in nn dimensions is simply 1.
In nn dimensions, the simplex is a geometric shape formed by connecting the origin and the standard basis vectors.
The volume of this simplex can be determined by finding the determinant of the matrix formed by these basis vectors. Since the standard basis vectors are orthogonal, the determinant of this matrix will be equal to the product of their magnitudes.
In nn dimensions, each standard basis vector has a magnitude of 1. Therefore, the volume of the simplex is 1^n.
To simplify, any number raised to the power of 1 is equal to the number itself.
So, the volume of the simplex with vertices at the origin and the standard basis vectors in nn dimensions is simply 1.
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(3 marks) Let \( X \) be a gamma random variable with parameters \( \alpha>0 \) and \( \beta>0 \). Find the probability density function of the random variable \( Y=3 X-1 \) with its support.
The probability density function (PDF) of the random variable
�
=
3
�
−
1
Y=3X−1 is given by:
�
�
(
�
)
=
1
3
�
�
(
�
+
1
3
)
f
Y
(y)=
3
1
f
X
(
3
y+1
)
where
�
�
(
�
)
f
X
(x) is the PDF of the gamma random variable
�
X with parameters
�
α and
�
β.
To find the PDF of
�
=
3
�
−
1
Y=3X−1, we need to apply the change of variable technique.
Let's start with the cumulative distribution function (CDF) of
�
Y, denoted as
�
�
(
�
)
F
Y
(y):
�
�
(
�
)
=
�
(
�
≤
�
)
=
�
(
3
�
−
1
≤
�
)
=
�
(
�
≤
�
+
1
3
)
F
Y
(y)=P(Y≤y)=P(3X−1≤y)=P(X≤
3
y+1
)
Now, differentiate both sides of the equation with respect to
�
y to obtain the PDF:
�
�
(
�
)
=
�
�
�
�
�
(
�
)
=
�
�
�
�
(
�
≤
�
+
1
3
)
f
Y
(y)=
dy
d
F
Y
(y)=
dy
d
P(X≤
3
y+1
)
By applying the chain rule, we have:
�
�
(
�
)
=
�
�
�
�
�
(
�
)
=
�
�
�
�
(
�
≤
�
+
1
3
)
=
1
3
�
�
�
�
(
�
≤
�
+
1
3
)
f
Y
(y)=
dy
d
F
Y
(y)=
dy
d
P(X≤
3
y+1
)=
3
1
dy
d
P(X≤
3
y+1
)
Since
�
+
1
3
3
y+1
is the new value of
�
X, we can rewrite the equation as:
�
�
(
�
)
=
1
3
�
�
�
�
�
(
�
+
1
3
)
f
Y
(y)=
3
1
dy
d
F
X
(
3
y+1
)
where
�
�
(
�
)
F
X
(x) is the CDF of the gamma random variable
�
X.
The derivative of the CDF gives us the PDF:
�
�
(
�
)
=
1
3
�
�
(
�
+
1
3
)
f
Y
(y)=
3
1
f
X
(
3
y+1
)
Hence, the PDF of the random variable
�
=
3
�
−
1
Y=3X−1 is given by
�
�
(
�
)
=
1
3
�
�
(
�
+
1
3
)
f
Y
(y)=
3
1
f
X
(
3
y+1
).
The probability density function (PDF) of the random variable
�
=
3
�
−
1
Y=3X−1 is
�
�
(
�
)
=
1
3
�
�
(
�
+
1
3
)
f
Y
(y)=
3
1
f
X
(
3
y+1
), where
�
�
(
�
)
f
X
(x) is the PDF of the gamma random variable
�
X with parameters
�
α and
�
β.
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8 in
6 in.
5 in.
Pls help
Answer:
this is volume, right?
Step-by-step explanation:
i have no idea though hahahahahah
frjghherhnetjhnjkg fgfhgheriugheriughierg
renjgregnjergjerbgg rehgbjregbjergjerbgj
if a is an n × n matrix such that a = p dp −1 with d diagonal and p invertible, then the columns of p must be eigenvectors of a.T/F
False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.
False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).
In the given equation, \(a = PDP^(-1),\)
where D is a diagonal matrix and P is an invertible matrix.
The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.
When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)
Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.
Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)
Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.
However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.
The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.
Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.
In conclusion, the statement is false.
The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).
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Find the domain of the function using interval notation. \[ f(x)=\frac{2}{x-9} \]
The domain of the given function f(x) = 2 / (x - 9) can be found using interval notation. Recall that the domain of a function is the set of all possible values of the input variable for which the function is defined.
Let's look at the given function f(x) = 2 / (x - 9). We can see that the denominator (x - 9) cannot be equal to zero since division by zero is undefined.
Thus, we can say that x - 9 ≠ 0. Solving for x, we get:x ≠ 9Therefore, the domain of f(x) is all real numbers except 9. We can represent this using interval notation as follows: (-∞, 9) U (9, ∞). Hence, the domain of the function using interval notation is (-∞, 9) U (9, ∞)
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there is 30 kilograms of 10% apple juice , how many kilograms of juice does it need to get 25% of apple juice?
Answer: 75. Hi! I learned something like this. Here is the explanation.
Step-by-step explanation: So, I am not sure, but this is what I think. You would write it like this 30 kilograms equals 100%. Then, you would put the 100 percent over the 25 percent. So, it would look like this: 10% / 25% Then, you would multiply 30 times 25, because you can just multiply by 25 and not have to worry about the percent. 30 times 25 would give you 750 and then you would divide 750 divided by 10 and you would get 75.Therefore, I think the answer is 75 kilograms of juice. I hope this helps! Sorry if this is wrong.work out the value of 4bc-b when b=-3 and c=2
Answer:
-18
Step-by-step explanation:
4bc-b
Let b = -3 and c=2
4 * (-3)* 2 - (-3)
-24 +6
-18
Answer:
-21
Step-by-step explanation:
4(-3)2-(-3)
X + 3y =5y
-x + 2y =0
Answer:
If you are asking what the solution to this set of equations is, then they are the same line. They map to the same line.
Step-by-step explanation:
Select all of the values that have exactly 3 significant digits.
0.0807
O 005.5
13.41
0367.0
☐ 1,990
All the values with exactly three significant digits are: 0.0807, 1990
Significant digits of a number tell us what the actual meaningful representation of a number is. There are certain rules to figure out which digits in a number are significant such as
All non-zero digits in any number are significant. Ex: 33.4 has 3 significant digits; 19875 has 5 significant digits.All zeros between two non-zero digits are significant. Ex: 103.0078 has 7 significant digits. 700519 has 6 significant digits.Leading zeros that is all zeros to the left of the first non-zero digit and all zeros to the right of a decimal point are insignificant. 0.00081 has 2 significant digits; 0.547 has 3 significant digits.Zeros to the right of a decimal point are significant if and only if they are not followed by a non-zero digit. Ex; 92.00 and 20.00 both have 4 significant digits.After a decimal point, all zeros after the last non-zero digit are significant. Ex: 0.0079800 has 5 significant digitsTrailing zeros are significant in a whole number with a decimal point shown and insignificant if there is no decimal point shown. Ex: 540. has 3 significant digits while 540 has 2 significant digits.Thus the numbers with 3 significant digits are: 0.0807, 1990
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Shannon used 0.4 kilograms of raisins to make 5 bags of trail mix. How many kilograms of raisins, on
average, did she put in each bag?
Answer:
0.08 kilograms
Step-by-step explanation:
0.4 divided by 8 equals 0.08
a context level data flow diagram includes many detailed processes representing the computer programs within the system.true or false?
The claim that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is false.
A context level data flow diagram (DFD) is a particular kind of diagram that shows how various system components interact with one another. The main objective of building a DFD is to visually depict the data flow and system activities.
The highest-level diagram that shows the system's overall operation without going into specifics about particular processes or data stores is a context level DFD, also referred to as a Level 0 DFD.
The statement that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is untrue. This is so because the context level DFD reflects the total functionality of the system.
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Why is “3 meals a day” a unit rate?
It compares 1 meal to 1 day.
It compares 1 meal to 3 days.
It compares 3 meals to 1 day.
It compares 3 meals to 3 days.
Answer:
It compares 3 meals to 1 day
Step-by-step explanation:
"3 meals a day" it is saying that there are 3 meals in a day.
Answer:
It compares 3 meals to 3 days
Step-by-step explanation:
since there is 3 meals every 3 days
For which segment is B a midpoint?
Answer:
AC with endpoints at A(1; -1) and C(5; 3)
8 children
2. Val walks 23 miles each day. Bill runs 10 miles once every
4 days. In 4 days, who covers the greater distance?
Answer: Val
Step-by-step explanation:
its logic
. Which of the following is equal to
3
?
)
6 −
3 )
6 ×
3
)
6
3
)(
6
)
Answer:
(6-3)=3..............................
Centerville has a population of 18,000. People under the
age of 18 make up 23% of the town's population. How
many people under the age of 18 live in Centerville??
Answer:4140
Step-by-step explanation: I’m just to beast
what is the answer to 9 -4/5 x 10 -7/9
Answer:
its an limit number
Step-by-step explanation:
you can do it because its a limit number so this in't real
21 How many solutions does the equation 2 + 6(x-4)= 3x - 18 + 3x have? A) O B 1 (c) 2 D) Infinite