If q ║ r, value of x is 17.
Define alternate exterior angle.When a transversal connects two or more parallel lines at different locations, alternate exterior angles are created. The word exterior refers to something that is located outside. Whenever the transversal intersects two lines, alternate external angles are always outside of those two lines and are situated on the opposing sides of the transversal. As a result, the pair of alternate external angles—two outside angles—that arise at the opposing ends of transversals in the exterior section are always equal. When a transversal splits two parallel lines, we obtain two of these pairs of alternate exterior angles.
Given
q ║ r
Alternate exterior angle,
7x - 10 = 9x - 44
9x - 7x = 44 - 10
2x = 34
x = 17
If q ║ r, value of x is 17.
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pls help asap if you can!!!
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
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The sides of a triangle measure 2x + 5, X – 4, and
3(2x + 1). What is the perimeter of the triangle?
Answer:
9x+4
Step-by-step explanation:
perimeter= sum of all sides
perimeter= (2x+5)+ (x-4)+ 3(2x+1)
= 2x+5+x-4+ 6x+3
= 2x+x+6x+5+3-4
= 9x+8-4
=9x+4
What is the square root of 216
Answer:
14.69...
Step-by-step explanation:
\(\sqrt{216} = 14.69...\)
how many positive integers of 3 digits may be made from the digit 1,2,3,4,5, each digit may be used just once
60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.
According to the question,
We have the following information:
3 digits integers are to be made from 1,2,3,4 and 5
So, we will use permutation to find the possible number of digits that can be made if we apply all the given conditions.
Now, we have:
Total number of digits = 5
Number of digits to be made = 3
So, we have:
\(^{5} P_{3}\)
Solving this expression:
5*4*3
60
Hence, 60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.
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HELP NEEDED!
Write down an algebraic expression for each of the following statements.
A. Subtract the cube root of the product of x and 3y from the square of the sum of a and b.
B. The total value of x 20-cent coins and y 5-dollar notes in cents.
Answer:
A) \((a+b)^{2}- \sqrt[3]{x . 3y}\)
B) 20 x + 500 y
Step-by-step explanation:
A. Subtract the cube root of the product of x and 3y from the square of the sum of a and b.
A = The square of the sum of a and b is \((a+b)^{2}\)
B = The cube root of the product of x and 3y is \(\sqrt[3]{x . 3y}\)
They want us to subtract B from A so B - A, therefore the following.
\((a+b)^{2}- \sqrt[3]{x . 3y}\)
B. The total value of x 20-cent coins and y 5-dollar notes in cents.
20x cents is already provided as they want the expression in cents. Moving on to the $5 dollar note. We will have to convert this $5 into cents in order to fulfill the question requirements.
Convert:
1 dollar = 100 cents
5 dollars = 100x5 = 500 cents
Therefore, 5y dollars = 500y cents. Finally, we end up with the following answer.
20 x cents + 500 y cents
20 x + 500 y
Plz solve this is for a test and I have a f soooo-
The answer is 12/2, well that's what I got.
Either way this question might get deleted so yeah
12
Step-by-step explanation:
12 divided by 2 is 6. so this would be the answer.
A stick is broken randomly into two pieces. The larger piece is then broken randomly into two pieces. What is the probability of the pieces being able to form a triangle
Answer:
25%
Step-by-step explanation:
Piece 1 = x + y > 1 - x - y
Piece 2 = x + (1 - x - y) > y
Piece 3 = y + (1 - x - y > x
Not going to lie, I had to look up how to calculate the probability of this lol
Hopefully this is right and you do well!
If it is follow my gram Greyhasnoshame
evaluate the line integral of the vector field along the curve given by joining and . does the value of the integral above depend on the path joining the points and ? unable to determine yes no
The value of the line integral does depend on the path joining the points (-2, 1) and (2, 3).
To determine whether the value of the line integral depends on the path, we need to evaluate the line integral along different paths connecting the given points and compare the results.
Let's consider two paths: Path 1, a straight line segment connecting (-2, 1) to (2, 3), and Path 2, a different path that connects the same points but takes a different route.
If the line integral has the same value along both paths, then the integral does not depend on the path. However, if the values differ, it indicates that the line integral is path-dependent.
To evaluate the line integral, we need the vector field that defines the line integral, as well as the parameterization of each path. Without this information, we cannot provide an exact value or perform the calculations necessary to determine whether the integral is path-dependent.
In conclusion, without the specific vector field and parameterizations of the paths, we are unable to determine whether the value of the line integral depends on the path joining the points (-2, 1) and (2, 3).
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a regression model in which more than one independent variable is used to predict the dependent variable is called
A regression model in which more than one independent variable is used to predict the dependent variable is called multiple linear regression.
Multiple linear regression refers to a statistical technique used to predict the outcome of one variable based on the values of two or more variables. Sometimes simply called multiple regression, it is an extension of linear regression. The variable we want to predict is called the dependent variable, and the variables we use to predict the value of the dependent variable are called the independent or explanatory variables.
Multiple Linear Regression - Formula
Yi + β0 + β1xi1 + β2xi2 + βpxip + ∈
Where:
Yi is the dependent or predicted variable
β0 is the y-intercept, i.e., the value of y when both xi and x2 are 0.
β1 and β2 are the regression coefficients representing the change in y relative to a one-unit change in xi1 and xi2, respectively.
βp is the slope coefficient for each independent variable.
∈ is the model’s random error (residual) term.
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Need Help ASAP I cant solve this I think the answer might be 14x-35 but im not sure and i have to solve by combining like terms
In the attached diagram the perimeter of the hall way is
17x - 34How to find the perimeter of the hallwayThe perimeter of the hall way is calculated by adding all the sides of the hallway
The perimeter of the hall way = 2x - 7 + x + 1 + 4x - 9 + x - 2 + x + 2 + 3x - 11 + x - 2 + 3x - 11 + x + 4
adding like terms results to
The perimeter of the hall way = 17x + (-34)
Finally, the simplified expression is:
17x - 34
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how many paths are there from point (0,0) to (90,160) if every step increments one coordinate and leaves the other unchanged and you want the path to go through (80,70)?
There are 4.097 x \(10^43\) paths from (0,0) to (90,160) that pass through (80,70).
To calculate the number of paths from (0,0) to (90,160) while passing through (80,70), we need to break down the problem into smaller steps.
First, we can calculate the number of paths from (0,0) to (80,70) and then
multiply that by the number of paths from (80,70) to (90,160).
To go from (0,0) to (80,70), we need to take 80 steps to the right and 70 steps up, which gives us a total of 150 steps. The order in which we take these steps doesn't matter, so we can think of it as choosing 70 steps out of 150 to be up. This can be calculated using the binomial coefficient, which gives us (150 choose 70) = 2.364 x \(10^43\)
To go from (80,70) to (90,160), we need to take 10 steps to the right and 90 steps up, which gives us a total of 100 steps. Using the same method as above, the number of paths from (80,70) to (90,160) is (100 choose 10) = 17,310,309.
Multiplying these two values together, we get the total number of paths from (0,0) to (90,160) that pass through (80,70):
(2.364 x 10^34) x (17,310,309) = 4.097 x \(10^43\)
Therefore, there are 4.097 x \(10^43\) paths from (0,0) to (90,160) that pass through (80,70).
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Because the dividend is the same for all three expressions the larger the divisor the__the quotient
Given:
Because the dividend is the same for all three expressions the larger the divisor the__the quotient
the answer will be: smaller or least
Please help me I will mark you with a crown!! :))))
Using the net below, find the surface area
of the triangular prism.
3 in.
6 in.
6 in.
16 in
3 in
7 in.
Surface Area =
[?] in.2
Answer:
114 in²
Step-by-step explanation:
Area Triangles:
2 · 1/2(3 · 6)3 · 618Area left rectangle:
6 · 3 = 18Area square:
6 · 6 = 36Area right rectangle:
6 · 7 = 42Area Total :
18 + 18 + 36 + 4236 + 36 + 4272 + 42114The area is \(\boxed{\text{114 square inches}}\)
-Chetan K
+Suppose g(x) = (x – 4)2 + 5. Which statement best compares the graph ofg(x) with the graph of f(x) = x2?O A. The graph of g(x) is shifted 4 units left and 5 units up.O B. The graph of g(x) is shifted 4 units left and 5 units down.O c. The graph of g(x) is shifted 4 units right and 5 units down.O D. The graph of g(x) is shifted 4 units right and 5 units up.SUBMIT
SOLUTION:
Step 1:
In this question, we are given the following:
Suppose
\(g(x)\text{ = \lparen x-4\rparen}^2\text{ + 5}\)Which statement best compares the graph of g(x) with the graph of:
\(f(x)\text{ = x}^2\)Step 2:
The details of the solution are as follows:
The graphs of the two functions are as follows:
CONCLUSION:
The final answer is:
The graph of g(x) is shifted 4 units right and 5 units up ( OPTION D )
A binomial experiment with probability of success p=0.63 and n=11 trials is conducted. What is the probability that the experiment results in 10 or more successes? Do not round your intermediate computations, and round your answer to three decimal places (if necessary consulta list of formes.)
To find the probability of getting 10 or more successes in a binomial experiment with p = 0.63 and n = 11 trials, we can use the cumulative probability function.
P(X ≥ 10) = 1 - P(X < 10)
Using a binomial probability formula, we can calculate the probability of getting exactly k successes:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where C(n, k) represents the binomial coefficient.
Let's calculate the probability for each value from 0 to 9 and subtract it from 1 to get the probability of 10 or more successes:
P(X < 10) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 9)
P(X < 10) = Σ[C(11, k) * p^k * (1 - p)^(11 - k)] for k = 0 to 9
Using this formula, we can calculate the probability:
P(X < 10) ≈ 0.121
Therefore, the probability of getting 10 or more successes in the binomial experiment is:
P(X ≥ 10) ≈ 1 - P(X < 10) ≈ 1 - 0.121 ≈ 0.879
Rounding to three decimal places, the probability is approximately 0.879.
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HELPP PLEASE 70 POINTS
A buyer purchases 30 percent of the 45,000 widgets in a warehouse's inventory.
The next day, another buyer purchases 15 percent of the remaining widgets. How
many widgets are left in the warehouse?
Answer: 26,775 widgets
Step-by-step explanation:
The first buyer purchased 30% of the 45,000 widgets, which is (30/100) * 45,000 = 13,500 widgets.
So, the number of widgets left in the warehouse after the first purchase is 45,000 - 13,500 = 31,500 widgets.
The second buyer purchased 15% of the remaining widgets, which is (15/100) * 31,500 = 4,725 widgets.
Therefore, the number of widgets left in the warehouse after both purchases is 31,500 - 4,725 = 26,775 widgets.
What is the valuAt which integer value of x are the functions y = 1 2 x + 12 and y = ( 1 4 ) x closest to being equal? A. –2 B. 12 C. 11 D. –1e of x in this triangle? 18493 A. 30 B. 45 C. 90 D. 60
The closest integer value of x where both functions are equal is 1
How to determine the integer value of x?The equations are given as:
y = 12x + 12
y = (14)^x
Next, we plot the graph of both equations.
From the attached graph, both functions intersect at:
x = 1.249
Approximate this value
x = 1
Hence, the closest integer value of x where both functions are equal is 1
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Mason was catching butterflies. In the first hour, he caught 7 butterflies. In the second hour, he caught 9. In the third hour, he caught 11. If this pattern continued, how many hours would it take him to catch more than 60 butterflies?
The number of hours it would take him to catch more than 60 butterflies is 27.5
How to determine how many hours it would take him to catch more than 60 butterflies?The given parameters are
First hour= 7 butterflies
Second hour= 9 butterflies
Third hour= 11 butterflies
When represented as a sequence, we have the following values
7, 9, 11.......
The properties of the above sequence are
First term, a = 7
Common difference, d = 2
Last term, Tn = More than 60
The number of hours it would take him to catch more than 60 butterflies is calculated as using
Tn = a + (n - 1) d
In this scenario, we have
a + (n - 1) d > Tn
So, we have
7 + (n - 1) * 2 > 60
This gives
(n - 1) * 2 > 53
Divide by 2
n - 1 > 26.5
Add 1 to both sides
n > 27.5
Hence, the number of hours it would take him to catch more than 60 butterflies is 27.5
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Is (x + 6) a possible length of a rectangle if the area is x^2 + x − 30? Use an area model to prove your answer.
Can you use an area model to find the length and width of:
The answer is yes, (x + 6) is a possible length of a rectangle with area x² + x − 30.
To determine whether (x + 6) is a possible length of a rectangle with area x^² + x − 30, we can use an area model to visualize the situation.
First, we need to find the width of the rectangle.
The area of a rectangle is given by the formula A = lw,
where A is the area, l is the length, and w is the width.
We are given that the area is x² + x − 30, so we can set this equal to lw and solve for w:
x² + x − 30 = (x + 6)w
w = (x² + x − 30)/(x + 6)
The length of a rectangle must be greater than or equal to its width, so we need to check whether (x + 6) is greater than or equal to (x² + x − 30)/(x + 6). This simplifies to:
(x + 6) ≥ x² + x − 30
Expanding the left side and simplifying, we get:
x² + 12x + 36 ≥ x² + x − 30
11x ≥ -66
x ≥ -6
Since x must be a positive number (since we are dealing with lengths), we can conclude that (x + 6) is the possible length of the rectangle. Therefore, the answer is yes, (x + 6) is a possible length of a rectangle with an area x² + x − 30.
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Kirsten drew two sides of a square on the grid shown below. Each side had a length of 5 units. The three vertices of the square are shown on the grid.
u Pau
у
5
+
3
2
2
1 2 3 4 5
X
-5-4-3 -2 -10
-2
-2
N
4
Which of the following ordered pairs best describes the location of the fourth vertex of the square?
O A. (2.2)
O B. (2.1)
O C. (12)
Answer:
If each square (from the squared paper) has side length 1, then that hexagon has four sides of length √12+42=√17 and two sides of length √32+32=√18.Step-by-step explanation:
which expression finds enzo’s net worth?
Enzo's net worth = Enzo's assets - Enzo's liabilities. The resulting number is his net worth.
Enzo's net worth = (Enzo's cash + Enzo's investments + Enzo's property + Enzo's other assets) - (Enzo's loans + Enzo's credit card debt + Enzo's other liabilities)
Enzo's net worth is calculated by subtracting his liabilities from his assets. Enzo's assets include cash, investments, property and other assets he may own. His liabilities include any loans he has taken out, any credit card debt, and any other liabilities he may have. To find Enzo's net worth, you would add up all of his assets and subtract from that all of his liabilities. The resulting number is his net worth.
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What are the intersection points of the function: (x - 9)(x + 1) = (x + 1) *
Answer:
The intersection points are (-1,0) and (10,0)
Step-by-step explanation:
Brainliest if i am right? uwu
X~N(570, 103). Find the z-score corresponding to an observation of 470.
A. 0.97 B. -0.97 C. 0.64 D. -0.64
The z-score corresponding to an observation of 470 is -0.97.
Given that the observation x is 470.
mean, is 570
standard deviation, σ is 103
For the occurrence score,
z = (x - μ)/σ
z = (470 - 570)/103
z = -0.97
The standard score in statistics is the amount of standard deviations that a raw score (i.e., an observed value or data point) deviates from or exceeds the mean of the thing being observed or measured. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.
It is determined by deducting the population mean from a given raw score, then dividing the result by the population standard deviation. Standardizing or normalizing is the process of transforming a raw score into a standard score (however, "normalizing" can refer to many types of ratios; see normalization for more).
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What type of triangles does the Pythagorean Theorem apply to?
Answer: right angle triangle
Step-by-step explanation:
we only use Pythagorean theorem to find the length of the missing side of a right angle triangle only.
2. Approximate e?. Round your answer to the nearest tenth
Answer:
1096.6
Step-by-step explanation:
The answer would be 1096.63316, but since you are rounding to the nearest tenth, then your answer would be 1096.6.
Answer:
1096.6.
Step-by-step explanation:
e = about 2.7
2.7^7is about 1046
Please help me the picture below has the question and the answers
Answer:
c should be the correct one
!!!PLEASE HELP, ITS DUE TODAY!!!
Duane Pipe has worked at the hospital 21 out of 30 days this month. What is his ratio of days worked to total days reduced to lowest terms? In order to receive full-time benefits, he must work 3/4ths of the month or more. Did he meet the requirements?
I will give Brainliest if it’s right
Answer:
2/3
Step-by-step explanation:
he did meet the requirements
What is the index in the expression
2
2?
Answer:
2
Step-by-step explanation:
Rewrite 9 5/2 in radical form.
9 5/2 in radical form is equal to 4√2 + √7.
We are able to rewrite 9 5/2 in radical form through first changing it to an improper fraction.
9 5/2 = (9 x 2 + 5) / 2 = 23/2
Now, we can express 23/2 as a mixed radical by using locating the largest perfect square that may be a aspect of 23. the largest perfect square which is much less than 23 is 16 (that's 4^2).
So, we are able to write:
23/2 = 16/2 + 7/2 = 8 + 7/2
Now, we will express 8 + 7/2 in radical form as:
8 + 7/2 = 4 x 2 + 7/2 = 4√2 + √7
Consequently, 9 5/2 in radical form is equal to 4√2 + √7.
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