Answer:
X = 93
Step-by-step explanation:
X-45 + X-29 = x + 19
2X - 74 = X + 19
2X - X = 19 + 74
X = 93
HOPE IT HELPED
calculate the rate of change
Consider the following scenario to understand the relationship between marginal and average values. Suppose Lorenzo is a professional b. player, and his game log for free throws can be summarized in the following table.
The missing points from the Column is:
Game Free-Throw Percentage: 60 20 60 80
Average Free-Throw Percentage: 70 60 55 56.67
Game Game Total Game Average
Result Free-Throw Free-Throw
Percentage Percentage
1 8/10 8/10 80 80
2 6/10 14/20 60 70
3 1/5 15/25 20 60
4 3/5 18/30 60 55
5 8/10 26/40 80 56.67
In the "Total" column, we keep track of the cumulative number of successful free throws out of the total attempts.In the "Game Free-Throw Percentage" column, we calculate the percentage of successful free throws made in each game.In the "Average Free-Throw Percentage" column, we calculate the average free-throw percentage up to that game by dividing the cumulative successful free throws by the cumulative total attempts and multiplying by 100.Learn more about Cumulative Frequency here:
https://brainly.com/question/28491523
#SPJ4
The question attached here seems to be incomplete, the complete question is
Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.
Game Game Result Total Game Free-Throw Percentage Average Free-Throw Percentage
1 8/10 8/10 80 80
2 6/10 14/20
3 1/5 15/25
4 3/5 18/30
5 8/10 26/40
The equation of a circle in general form.
x2 + y2 – 18x + 14y + 84 = 0
What is the radius of the circle?
Include all of the following in your work for full credit.
(a) Show all work rewriting this equation from general to standard form
- Be sure to include all work completing the square and factoring the trinomial
(b) Give correct radius of the circle
The radius of the circle is given as 9
How to solve for the radius of the circleTo rewrite the equation of the circle from general form to standard form, we need to complete the square for both x and y terms.
x^2 - 18x + y^2 + 14y + 84 = 0 (Given)
To complete the square for x, we need to add and subtract the square of half the x coefficient (i.e., (18/2)^2 = 81) inside the parentheses:
x^2 - 18x + 81 + y^2 + 14y + 84 - 81 = 0
(x - 9)^2 + (y + 7)^2 - 81 = 0
(x - 9)^2 + (y + 7)^2 = 81
This is the standard form of the equation of a circle, where the center is located at (9, -7) and the radius is √81 = 9.
Read more on radius here:https://brainly.com/question/29614115
#SPJ1
pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
4x + 6 = 2(3x - 7)
Solve
Answer:
x = 10
Step-by-step explanation:
Method 1: Algebraically
1. 4x+6 = 2(3x-7) - Multiply out the 2
2. 4x+6 = 6x-14 - make x the subject of the formula first by subtracting 4 from both sides
3. 6 = 2x-14 - add 14 to both sides
4. 20 = 2x - divide by 2 to solve for x
5. 10 = x - Answer
Method 2: Graphing
Use a graphing calculator to solve for the answer
1. set one side to y1 and the other to y2
2. set the correct window
3. press 2nd then trace
4. Select option 5 to find the intersection
which choices are equivalent to the exponential expression below?
Answer:
The answer is
B
D
F
Step-by-step explanation:
Squaring a fraction is like squaring a whole number really so you just square the fraction by multiplying it by itself.
FIRST TO ANSWER CORRECTLY GETS BRAINLIEST
Answer:
d
Step-by-step explanation:
HELP NOW 10 MIN!!!!!!!
WILL GIVE BRAINLYIST
The scale factor of the dilation is 1/3.
To find the scale factor of the dilation, we can compare the corresponding sides of the original triangle and the dilated triangle.
Original triangle: Side lengths of 24, 18, 30.
Dilated triangle: Side lengths of 8, 6, 10.
To find the scale factor, we can choose any corresponding pair of sides and divide the length of the corresponding side of the dilated triangle by the length of the corresponding side of the original triangle.
Let's choose the first pair of sides: 8 and 24.
Scale factor = Length of corresponding side in dilated triangle / Length of corresponding side in original triangle
= 8 / 24
= 1/3
Therefore, the scale factor of the dilation is 1/3.
Learn more about scale factor click;
https://brainly.com/question/29464385
#SPJ1
please help me with these questions!!!!!!
Step-by-step explanation:
jdjdjcycyehvwjduuxjsjsjdudu
determine the largest subset of double-struck r3 on which the given vector field is differentiable. f = (−x2 − y2 − z2 1)4/3, x cos(yz), xy 4 − z2
The largest subset of ℝ³ on which the vector field is differentiable is ℝ³ - {(0, 0, 0)
How to determine largest subset?
To determine largest subset where the given vector field is differentiable, we need to check that all partial derivatives of each component of the vector field exist and are continuous.
Let's start by finding the partial derivatives of each component:
∂/∂x (−x² − y² − z²- 1)4/3 = −4/3(x² + y² + z² + 1)1/3 × 2x = -8x(x² + y² + z² + 1)1/3/3
∂/∂y (−x² − y² − z²- 1)4/3 = −4/3(x² + y² + z² + 1)1/3 × 2y = -8y(x² + y² + z² + 1)1/3/3
∂/∂z (−x² − y² − z²- 1)4/3 = −4/3(x² + y² + z² + 1)1/3 × 2z = -8z(x² + y² + z² + 1)1/3/3
∂/∂x (x cos(yz)) = cos(yz)
∂/∂y (x cos(yz)) = -xz sin(yz)
∂/∂z (x cos(yz)) = -xy sin(yz)
∂/∂x (xy⁴−z²) = y⁴
∂/∂y (xy⁴−z²) = 4xy³
∂/∂z (xy⁴−z²) = -2z
Now we need to check the continuity of all these partial derivatives. We can see that all of them are continuous except for the partial derivatives involving the expressions (x² + y² + z² + 1)1/3 and (yz).
The expression (x² + y² + z² + 1)1/3 involves a cube root, which is not continuous at (0, 0, 0). Therefore, the partial derivatives involving this expression are not continuous at the origin, which means that the vector field is not differentiable at the origin.
The expression yz involves the product of y and z, which is also not continuous at (0, 0, 0). Therefore, the partial derivatives involving this expression are also not continuous at the origin, which means that the vector field is not differentiable at the origin.
Therefore, the largest subset of ℝ³ on which the vector field is differentiable is ℝ³ - {(0, 0, 0).
Learn more about largest subset here,
https://brainly.com/question/30293804
#SPJ1
Correct question is "determine the largest subset of double-struck ℝ³ on which the given vector field is differentiable. f = (−x² − y² − z²- 1)4/3, x cos(yz), xy ⁴− z²".
Answer: The largest subset of ℝ³ on which the vector field is differentiable is ℝ³ itself. In summary, the given vector field is differentiable on the entire ℝ³ space.
please help with my homework.
answer:
200.46875
( d. )
explanation:
hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)
an integer multiplied by an integer is an integer.
That statement is true. When two integers are multiplied together, the result is always an integer. This property is a fundamental characteristic of integers.
Integers are whole numbers that can be positive, negative, or zero. When you multiply any two integers, the result will always be another integer.
For example:
- Multiplying two positive integers: 3 * 4 = 12
- Multiplying a positive and a negative integer: (-5) * 6 = -30
- Multiplying two negative integers: (-2) * (-8) = 16
- Multiplying an integer by zero: 9 * 0 = 0
In each case, the product of the integers is still an integer. This property holds true regardless of the specific values of the integers being multiplied.
It is important to note that this property does not apply to all real numbers. When multiplying real numbers, the result may not always be an integer. However, when specifically dealing with integers, their multiplication will always yield an integer result.
Learn more about integer at: brainly.com/question/490943
#SPJ11
An integer multiplied by an integer is an integer. True or False?
There are 6 soccer teams in a recreational league. How many total games must be played in orders for all the teams to play each other at least once?
6
9
12
15
a-If given that we were tasked to evaluate the model, between MAPE and R2 which of these parameters do we use?
b-If given that model A has a higher MAPE than model B but model B has a higher R2 than model A, then how do we choose among the two?
c-Between the MAPE , MAD and MSD, which of these parameters shall we use for accuracy measures and why?
a. When evaluating a model, we use R2 as a parameter for performance assessment.
b. If model A has a higher MAPE but model B has a higher R2, we choose the model with the higher R2 for better overall performance.
c. For accuracy measures, we typically use MAPE (Mean Absolute Percentage Error) due to its interpretability and ability to capture relative errors.
When evaluating a model's performance, it is crucial to choose the appropriate parameters to assess its accuracy and reliability. In the case of MAPE (Mean Absolute Percentage Error) and R2 (Coefficient of Determination), the choice between them depends on the specific evaluation goals.
The R2 parameter is commonly used for evaluating models because it measures the proportion of the dependent variable's variance that can be explained by the independent variables. R2 provides insights into how well the model fits the data and captures the relationship between the input features and the target variable. Therefore, R2 is a suitable parameter to use when evaluating a model.
When comparing two models, if model A has a higher MAPE but model B has a higher R2, it is advisable to choose the model with the higher R2 value. This is because R2 indicates the proportion of variance explained, suggesting that model B performs better in capturing the underlying patterns and predicting the target variable.
Although model A may have a lower relative error (MAPE), it is crucial to prioritize the model's ability to explain and predict the target variable accurately.
Among MAPE, MAD (Mean Absolute Deviation), and MSD (Mean Squared Deviation), MAPE is commonly preferred as a parameter for accuracy measures. MAPE calculates the average percentage difference between the predicted and actual values, making it interpretable and easily understandable.
It captures relative errors and enables comparisons across different scales and datasets. MAD and MSD, on the other hand, measure absolute and squared errors, respectively, but they do not account for the relative magnitude of the errors. Hence, MAPE is a more suitable parameter for accuracy measures.
Learn more about Model
brainly.com/question/32196451
#SPJ11
Fran and Lamar are walking they walk 5 kilometers frans starts walking at 45 meter per minute Lamar starts 5 minutes later at 50 meters per minute how many minutes will lamar catch up to fran how far will they have walk
Answer:
The time Lamar will catch up to Fran is 50.26 mins and they would have walked 2.5 km each.
Step-by-step explanation:
Given;
total distance walked by both Fran and Lamar, d = 5 km = 5,000 m
speed of Fran, = 45 m/min
speed of Lamar, = 50 m/min
Let the time Lamar catch up to Fran = t (mins)
At the time "t" Lamar would have walked a distance of 50(t),
At the time "t" Fran would have walked a distance of 45(t + 5)
The total distance they walked; d = 50t + 45(t + 5)
5000 = 50t + 45(t + 5)
5000 = 50t + 45t + 225
5000 - 225 = 95t
4775 = 95t
t = 4775/95
t = 50.26 mins
The distance walked by Frans: = 45 (50.26 + 5)
= 2487 m
The distance walked by Lamar: = 50 (50.26)
= 2513 m
.A system consists of five identical components connected in series as shown:
A system consists of five identical components con
As soon as one components fails, the entire system will fail. Suppose each component has a lifetime that is exponentially distributed with ? = 0.01 and that components fail independently of one another. Define eventsAi = {ith component lasts at least t hours}, i = 1, . . . , 5, so that the Ais are independent events. Let X = the time at which the system fails
The time at which the system fails, denoted by X, is the minimum of the lifetimes of the five components.
In this system, each component has a lifetime that follows an exponential distribution with a parameter λ = 0.01. The exponential distribution is commonly used to model the time until an event occurs in a system with a constant failure rate.
The probability that a component lasts at least t hours is given by P(Ai) = e^(-λt), where Ai is the event that the ith component lasts at least t hours.
Since the components fail independently of one another, the probability that all five components last at least t hours is the product of their individual probabilities: P(A1 ∩ A2 ∩ A3 ∩ A4 ∩ A5) = e^(-λt)^5 = e^(-5λt).
Now, let X be the time at which the system fails, which is the minimum of the lifetimes of the five components. Since X is the minimum, we can write X = min(T1, T2, T3, T4, T5), where Ti represents the lifetime of the ith component.
The probability distribution of X can be obtained by considering the complement event. The complement of X > t is that all five components last at least t hours, which is P(X > t) = P(A1 ∩ A2 ∩ A3 ∩ A4 ∩ A5) = e^(-5λt).
Therefore, the time at which the system fails, X, follows an exponential distribution with a parameter of 5λ = 0.05. This means that the system has a constant failure rate of 0.05 and the probability density function (pdf) of X is given by f(x) = 0.05 * e^(-0.05x).
Visit here to learn more about probability:
brainly.com/question/31828911
#SPJ11
Determine the equation of the line that passes through (-8,9) and (2,-6)
Express you answer as a fraction in lowest terms.
The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.
We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.
Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.
Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.
The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.
Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.
Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.
For more question on equation
https://brainly.com/question/17145398
#SPJ8
The distance traveled can be calculated using the formula D=s⋅t where s is the speed and t is the total time. If a bus traveled 60 mi/h for 8.5 hours, how far did the bus travel?
Answer:
510 miles
Step-by-step explanation:
60/1 * 8.5 = 510 miles
A lake has a surface area of 800 square kilometers. What is the minimum length the shoreline could be
Answer:
The minimum length of the shoreline is 100.26 km
Step-by-step explanation:
We can start by assuming that the shape of the lake can be approximated to be a circle.
We need to understand that the length of the shoreline that we are looking for is the circumference of the circle.
From the area of the circle, we can get the radius as follows:
\(Area = \pi r^{2}\\r = \sqrt{\frac{Area}{\pi}} \\r = \sqrt{\frac{800}{\pi}}= 15.96 km\)
The circumference of the circle can be got using the formula
\(circumference = 2\pi r\)
\(circumference = 2 \times \pi \times 15.96=100.26 km\)
Therefore, the minimum length of the shoreline is 100.26 km
اد
قال لwhat is quadratic equation
Answer:
A quadratic equation is an algebraic equation that involves ax(squared) + bx + c = 0
There will always be a square and A and B
the scores of the top quartile of students in a math class were 95, 86, 87, 91, 94, and 87 on the last test. what is the average score of these top students?
90 is the average score of these top students.
What is the average in mathematics?
Mean is defined as the average equal to the ratio of the total number of values in a particular set to the total number of values in the set.
The average in mathematics is the average of a data set obtained by adding all the numbers and dividing the sum of the numbers by the number of numbers. For example, using the following dataset:
8, 9, 5, 6, 7, 8 + 9 + 5 + 6 + 7 = 35, 35/5 = 7, so the average is 7.
the average score of these top students = 95 + 86 + 87 + 91 + 94 + 87/6
= 540/6 = 90
Learn more about average
brainly.com/question/24057012
#SPJ1
Which of the following statements are true of a transversal?
It is a line.
It is parallel to other coplanar lines.
It intersects two or more coplanar lines.
It bisects line segments.
It can never be perpendicular to other lines.
Answer:
Intersects two or more coplanar lines
Step-by-step explanation:
In geometry, the transversal line is a line that passes through two separate lines on the same plane (coplanar) at 2 distinct points.
Answer:
A, C, and E
Explanation:
Given trapezoid WXYZ, what is XY?
Step-by-step explanation:
X is the mulplied
Y is the pronouns
is (3,4) a soulution to the system
Answer:
Step-by-step explanation:
What's the equation?
Answer:
Since the two sides of the equation are equal, this means (3,4) is a solution to Now let's graph the equation and plot the point (3,4) Here we can see that the point (3,4) lies on the line. So this shows that (3,4) is a solution to which verifies our answer.
Step-by-step explanation:
hops this helps:)
19 Suppose you are building a rain shelter for a local park. The function y = 2 csc e models the lengthy of rafters needed if the peak is 2 feet above the top of the wall. The angle e is formed by the rafters and the top of the wall at of 2 Wall not drawn to scale Use a graphing calculator. Find the length of the rafters needed to make the roof for q 7". Round to the nearest tenth of a foot Select one: O a 2.5 feet Ob 16.4 feet Ос. 0.2 feet od 2 feet
Answer:
b 16.4 ft
Step-by-step explanation:
To solve this problem using a graphing calculator, we need to plug in the value of q (which is given as 7) into the equation y = 2 csc e, and then graph the resulting equation.
First, we need to convert the angle e from degrees to radians, because the csc function takes its input in radians. We can use the conversion formula:
radians = degrees x (π/180)
So for e = 2, we have:
e (in radians) = 2 x (π/180) = 0.0349 radians
Now we can plug this value into the equation y = 2 csc e:
y = 2 csc(0.0349) ≈ 103.8 feet
This tells us that the length of the rafters needed to make the roof is approximately 103.8 feet. However, the question asks us to round to the nearest tenth of a foot, so the answer is:
y ≈ 103.8 feet ≈ 103.8 rounded to the nearest tenth of a foot
Therefore, the length of the rafters needed to make the roof for q 7" is approximately 103.8 feet, rounded to the nearest tenth of a foot.
So the correct answer is (b) 16.4 feet.
Using the graphing calculator, we find that the length of the rafters needed is approximately 16.4 feet, Therefore, the correct answer is option B, 16.4 feet.
To find the length of the rafters needed for the roof with an angle of 7 degrees, we'll use the given function y = 2 * csc(e), where e is the angle formed by the rafters and the top of the wall. Here's a step-by-step explanation:
1. Convert the angle from degrees to radians: e (in radians) = (7 degrees * π) / 180 ≈ 0.1222 radians.
2. Calculate the cosecant (csc) of the angle e: csc(0.1222) ≈ 8.185.
3. Plug the value of csc(e) into the function: y = 2 * 8.185 ≈ 16.37.
Using a graphing calculator, we can input the function y = 2 csc e and graph it. Then, we can use the given angle of 2 to find the length of the rafters needed for a roof with a peak of 7 feet.
4. Round the length to the nearest tenth of a foot: 16.37 ≈ 16.4 feet.
When we graph the function, we can see that the length of the rafters is the distance between the x-axis and the point on the graph where y = 7.
So, the length of the rafters needed to make the roof for an angle of 7 degrees is approximately 16.4 feet (Option b).
Learn more about feet:
brainly.com/question/20111809
#SPJ11
24 Hour Fitness charges svara spatee plus so per months to poun thensyn time has podszes por s gym membership so farHow many monohis has he been a member at 24 Hour Fitness monks
Answer:
4 months
Step-by-step explanation:
Equation:
y = 55 + 30x
y = gym membership
x = per month
Work:
y = 55 + 30x
175 = 55 + 30x
30x = 175 - 55
30x = 120
x = 4
4 months
find a basis for each of the subspaces r(at), n (a), r(a), n (at).
The specific solution depends on the given matrix A.
To find a basis for each of the subspaces r(AT), N(A), r(A), and N(AT), we first need to understand what each of these terms represents:
1. r(AT) - the row space of the transpose of matrix A
2. N(A) - the null space of matrix A
3. r(A) - the row space of matrix A
4. N(AT) - the null space of the transpose of matrix A
To find a basis for each of these subspaces, follow these general steps:
1. For r(A) and r(AT), row reduce the matrix A and its transpose AT to their row echelon forms. The non-zero rows in the reduced matrices will form a basis for the row spaces.
2. For N(A) and N(AT), set up the homogenous system of linear equations (Ax = 0 and ATx = 0), where x is the vector of variables. Then, solve the systems using Gaussian elimination, and find the general solutions. The general solutions will provide the basis vectors for the null spaces.
Note that specific solutions depend on the given matrix A. The process outlined above will help you find the basis for each of the subspaces r(AT), N(A), r(A), and N(AT) once you have the matrix A.
The correct question should be :
What is the matrix A for which you would like to find the basis for each of the subspaces r(AT), N(A), r(A), and N(AT)?
To learn more about subspaces visit : https://brainly.com/question/13045843
#SPJ11
Expert Answer Please Find The Area Of A Circle With R=13.8 Explain Answer!
Answer:
if r= to 13.8 so the answer is 598.28
How do you express 0.50 as a percentage?
5%
5/100
50/100
50%
Answer:
D: 50%
Step-by-step explanation:
mark brainliest
factor 5a2 – 30a 40. question 17 options: a) 5(a – 2)(a 4) b) 5(a – 2)(a – 4) c) (5a – 5)(a – 8) d) (a – 20)(a – 2)
The answer that you are looking for is b) 5(a – 2)(a – 4). In order to factor the formula, we must first locate two numbers whose sum is equal to -30 and whose product is equal to 40. Both constraints are met by the values -4 and -10, and as a result, we are able to factor the statement as 5(a – 2)(a – 4).(option b)
The following procedures can be used by us while factoring polynomials:
Find two numbers that, when added together, give you the coefficient of the middle term, and then multiply those two values by themselves to get the constant term.
Create the expression as the product of two binomials, with each binomial having one of the two numbers discovered in step 1. Write the equation as a product of two binomials.
Eliminate any factors that are frequent.
In this particular instance, the coefficient of the intermediate term is -30, while the value of the constant term is 40. When added together, the numbers -4 and -10 equal -30, and when multiplied together, they equal 40. Therefore, the expression can be factored as 5(a minus 2)(a minus 4).
Learn more about polynomials here:
https://brainly.com/question/11536910
#SPJ11