Answers
Answer:
B
Step-by-step explanation:
the slope of a line is a measure of its rate of change
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 4 ← is in slope- intercept form
with slope m = 2 and y- intercept c = - 4
calculate the slope of the function represented in the table using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table
m = \(\frac{-3-(-4)}{2-0}\) = \(\frac{-3+4}{2}\) = \(\frac{1}{2}\)
the y- intercept is on the y- axis where x = 0
from the table the point (0, - 4 ) has x = 0 , then c = - 4
Thus the 2 functions have the same y- intercepts but different rates of change , that is option B
Related Questions
( 6x-y) ( 1/3x² + y²) mutiply the following
Answers
Step-by-step explanation:
(6x-y)(1/3x^2 +y^2)
we have to multiply first 6x to the (1/3x^2 + y^2) and then -y
6x*1/3x^2 + 6x*y^2 - y * 1/3x^2 - y * y^2 =
=2x^3 + 6xy^2 - 1/3x^2 y - y^3
hope it'll help you
Find the equation for a line passing through (2,1) and (0,4). (standard form) Will give Brainliest
Answers
Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).
Step 1: Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope
formula:
Step-by-step explanation:
use this on your problem
Write out the expression: one more than 5 times x squared
Answers
Answer:
5*x^2
Step-by-step explanation:
The 2 above regular hexagons are similar. (see figures) The smaller hexagon was
increased by a factor of 5:7. What is the length of each side of the larger hexagon?
Answers
The smaller and the larger hexagons both have 6 sides
The length of each side of the larger hexagon
How to determine the length of each side of the larger hexagon
The given parameters are:
Smaller side, l = 10
Scale factor = 5 : 7
Represent the length of each side of the larger hexagon with L.
So, we have:
l : L = 5 : 7
Substitute 10 for l
10 : L = 5 : 7
Multiply the ratio by 2
10 : L = 5 *2 : 7 *2
Evaluate the product
10 : L = 10 : 14
By comparison, we have:
L = 14
Hence, the length of each side of the larger hexagon
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What is the solution to this equation?
9x - 4(x - 2) = x+ 20
O A. x= 7
O B. x = 3
O c. X=-3
O D. x=-7
Answers
Answer:
B
Step-by-step explanation:
9x - 4(x - 2) = x + 20
9x - 4x + 8 = x + 20 (Distribute 4)
5x + 8 = x + 20 (Combine like terms)
4x + 8 = 20 (Subtract x from both sides)
4x = 12 (Subtract 8 from both sides)
x = 3 (Divide equation by 4)
Please solve with explanation I’ve been asking for a while!
Answers
Answer:
Check attached images.
Step-by-step explanation:
Oook, we're in for some number crunching.
Let's assume we already know that all 3 medians intersect in the same point A (same as the letter of the question, to make things easier), as do perpendicular bisectors of the sides in B, as do altitudes in C.*
a. Intersection of the medians is the easiest to compute, and its coordinates is the average of the vertex: hat's because it splits each medians in two parts, one being twice the other. By simple calculation, you can see the first point is A(1;3)
b. Intersection fof the right bisectors is done by picking two sides, writing down the equation of the bisectors, and watching where they meet . The easiest one to use is EG, since it's parallel to the x-axis, and the bisector goes through the middle point, red line in the image. As a second let's use the blue line. We know it goes to the midpoint of EF, which we can easily found with the average, and is perpendicular to EF (so the two slopes multiplied gives -1). Once we get the two lines we can simply calculate their intersect, which is the point \(B(\frac32; \frac72)\).
c. Finally, for the altitudes. One is easy to spot, and it's the y axis, whose equation is x=0. The other, let's use the green line in my picture(s), since we know it's parallel to the blue line and saves us some computation: it passes through point G and has the same slope. Intersecting the two we get the third and last point, C(0;2).
d. there are plenty of ways to do so. if you know how to calculate the area of the triangle with determinants, you can plug the coordinates of A, B and C and see if you get 0.
Else, let's write the equation of the line between A and C, and see if B coordinates satisfies it.
That was quite the chore.
(*That two of them intersect is obvious, proof of the three theorems are about the third passing for the same point)
Luke purchased a pair of Skullcandy earbuds for 24.95 dollars the sale tax is 7.25% 10 how much tax did he pay on the earbuds?a) $1.08b) $1.80c) $1.88d) $1.81
Answers
$1.81 (option D)
Explanation:The cost of Skullcandy earbuds = $24.95
sale tax = 7.25% = 0.0725
Tax = The cost of Skullcandy earbuds × sales tax
Tax = 24.95 × 0.0725
Tax = 1.8089
Tax he paid for the earbuds = $1.81 (option D)
A slide 4.1 meters long makes an angle of 35 degrees with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide? (image attached)
Answers
Answer:
2.4 meters
Explanation:
In the given right triangle:
• The side length ,opposite ,35° = x
,• The length of the ,hypotenuse ,= 4.1 meters
We want to solve for x.
Using the trigonometric ratios of right triangles:
\(\begin{gathered} \sin\theta=\frac{Opposite}{Hypotenuse} \\ \implies\sin35\degree=\frac{x}{4.1} \end{gathered}\)Cross multiply:
\(\begin{gathered} x=4.1\times\sin35\degree \\ x=2.35 \\ x\approx2.4\text{ meters} \end{gathered}\)The top of the slide is approximately 2.4 meters above the ground.
3² +4² = 5²,
6² + 8² = 10² and
9² + 12² = 15²
Can you prove,using algebraic method,that this relationship will be true for any multiple of the triple,
3, 4, 5?
Prove that the statement
5² +12² =13² will hold true for any multiple of this triple.
Answers
Answer:
They are all true
Step-by-step explanation:
1. 3² +4² = 5²
3x3 + 4x4 = 5x5
9 + 16 = 25
25 = 25
-----------------------
2. 6² + 8² = 10²
36 + 64 = 100
100 = 100
------------------
3. 9² + 12² = 15²
81 + 144 = 225
225 = 225
-------------------
4. 5² +12² =13²
25 + 144 = 169
169 =169
-------------------
katherine spent 20\% of her hike going uphill. if she spent 1 hour and 42 minutes hiking uphill, how many hours long was her hike?
Answers
Katherine's hike was 4.7 hours long. She spent 1 hour and 42 minutes going uphill, which was 20% of her hike. This means that her entire hike was (1 hour and 42 minutes) / (20%) = 4.7 hours long.
To calculate this, we need to divide the amount of time spent hiking uphill (1 hour and 42 minutes) by the percentage of her hike spent going uphill (20%). 1 hour and 42 minutes is equal to 102 minutes. 102 minutes / 20% = 4.7 hours. Therefore, Katherine's hike was 4.7 hours long.
We can use the following equation to calculate the answer:
Hike time = (uphill time) / (percentage of uphill time)
Hike time = (102 minutes) / (20%) = 4.7 hours
It is important to note that the calculation can also be done using the amount of time spent going downhill as well. The amount of time spent going downhill will equal the total hike time minus the amount of time spent going uphill. In this case, the amount of time spent going downhill would equal 4.7 hours - 1 hour and 42 minutes = 2.28 hours.
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Which issue is least likely arise in machine learning (ml) and artificial intelligence (ai)?
Answers
The issue of too many proficient business-savvy programmers is least likely to arise in machine learning(ml) and artificial intelligence(ai).
What is machine learning?
The process by which computers learn to recognize patterns, or the capacity to continuously learn from and make predictions based on data, then make adjustments without being specifically programmed to do so, is known as machine learning (ML), a subcategory of artificial intelligence.
The operation of machine learning is quite complicated and varies according to the task at hand and the algorithm employed to do it. However, at its foundation, a machine learning model is a computer that analyzes data to spot patterns before using those realizations to better fulfill the work that has been given to it. Machine learning can automate any task that depends on a set of data points or rules, even the more difficult ones.
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Anita's father is 5 ft, 9 in. tall.
How many inches tall is Anita's father?
A. 59 in.
B. 61 in.
O C. 69 in.
OD. 81 in.
Answers
Answer:
C.69 in.
Eplanation
Can u guys PLEASE ANSWER this question 2 ASAP
Answers
Answer:
Sorry but where's the question
Step-by-step explanation:
what is 3x10)+(3456/3629) + (2341x123) + (123 infinity x 90) i will give branliest
Answers
Answer:
∞
Step-by-step explanation:
I assume you meant 3×10 + 3456/3629 + 2341×123 + 123 ∞×90 and x is multiplication and not a variable.
In variables estimation sampling, the sample standard deviation is used to calculate the:______.
Answers
In variables estimation sampling, the sample standard deviation is used to calculate the: sample size.
This is further explained below.
What is the sample size.?Generally, In the process of estimating variables using samples, the sample standard deviation is what is utilized to compute the size of the sample.
In conclusion, The process of selecting the total number of observations or duplicates that will be included in a statistical sample is known as "sample size determination." In any kind of empirical research where the purpose is to draw conclusions about a population based on a sample, the size of the sample being investigated is an essential component.
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A company with a large fleet of cars wants to study the gasoline usage for 60 company trips chosen at random, finding a mean of 24.81 mpg. Based on past experience, they believe the standard deviation of the general gas usage is 4.26 mpg. (a) Which kind of confidence interval is appropriate to use here, z-interval or t-interval? () Use R to find the critical value they need when constructing a 90% confidence interval. Use R to construct a 90% confidence interval for the mean of the general gasoline usage. (d) If they want to control the width of the confidence interval to be within 0.7 mpg, at least how many trips do they have to sample? Use R to calculate.
Answers
For the scenario, use a t-interval. The critical value for a 90% confidence interval is 1.669. Use t.test() to calculate the confidence interval. To control width within 0.7 mpg, determine sample size with pwr.t.test().
(a) In this scenario, a t-interval is appropriate to use because the standard deviation of the general gas usage is estimated from past experience.
(b) To find the critical value for a 90% confidence interval using R, you can use the qt() function. The code would be:
```
q <- qt(0.95, df = 59)
```
The critical value is approximately 1.669.
(c) To construct a 90% confidence interval for the mean of the general gasoline usage using R, you can use the t.test() function. The code would be:
```
data <- c(...) # Insert the 60 gasoline usage values here
result <- t.test(data, conf.level = 0.90)
result$conf.int
```
The confidence interval will be displayed in the output.
(d) To determine the sample size required to control the width of the confidence interval within 0.7 mpg, you can use the pwr.t.test() function in R. The code would be:
```
pwr.t.test(d = 0.7, sig.level = 0.10, power = 0.90, type = "two.sample", alternative = "two.sided")
```
The output will provide the required sample size based on the specified parameters.
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Write the equation of the line that passes through (3, 4) and 2, -1) in slope-intercept form
Answers
Answer:
Step-by-step explanation:
(-1 -4)/(2 - 3) = -5/-1 = 5
y - 4 = 5(x - 3)
y - 4 = 5x - 15
y = 5x - 11
Are Figures A and B congruent? Explain your reasoning.
Answers
Answer:
no bc the two figures need to be exactly the same size
Step-by-step explanation:
2. Determine an equation of the tangent line to the function y=lnx at x=e 2. Sketch a graph of the function and tangent line, marking key points
Answers
Equation of the tangent line: y = x - 2e + 2.The equation of the tangent line to the function y = ln(x) at x = e is y = x - 2e + 2.
To find the equation of the tangent line to the function y = ln(x) at x = e (approximately 2.71828), we need to determine the slope of the tangent line at that point. The slope of the tangent line is equal to the derivative of the function at that point.
Taking the derivative of y = ln(x) with respect to x, we get:
dy/dx = 1/x
Substituting x = e into the derivative, we have:
dy/dx = 1/e
So, the slope of the tangent line at x = e is 1/e.
Next, we use the point-slope form of a linear equation to find the equation of the tangent line. Using the point (e, ln(e)), and the slope 1/e, we get:
y - ln(e) = (1/e)(x - e)
Simplifying this equation gives us the equation of the tangent line:
y = x - 2e + 2
The equation of the tangent line to the function y = ln(x) at x = e is y = x - 2e + 2. The tangent line intersects the curve at x = e and has a slope equal to 1/e. When graphed together, the tangent line will touch the curve at x = e and represent the local linear approximation of the function at that point.
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What is the minimum value of the expression x^2+y^2-6x+4y+18 for real x and y? please include steps. thank you!
Answers
The minimum value of the given equation is 5.
The minimum value of the expression x² + y² - 6x + 4y + 18 for real x and y can be found using the method of completing the square.
To find the minimum value of x² + y² - 6x + 4y + 18, we need to convert the expression to the standard form of a quadratic expression.
First, let's collect the like terms: x² - 6x + y² + 4y + 18
Now, let's complete the square for the x terms: x² - 6x = (x - 3)² - 9
And, let's complete the square for the y terms: y² + 4y = (y + 2)² - 4
Now, let's substitute these back into the original expression:x² + y² - 6x + 4y + 18 = (x - 3)² - 9 + (y + 2)² - 4 + 18= (x - 3)² + (y + 2)² + 5
Now, we can see that the minimum value of this expression is 5, which is obtained when (x - 3)² = 0 and (y + 2)² = 0, i.e., when x = 3 and y = -2. Therefore, the minimum value of the expression is 5.
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Choose the expression that best represents the phrase below. ...20 more than the price of the meal.
Answers
Hope now wants to describe the gases by using a list. See her partial list below. 1. Oxygen 2. Helps living things produce energy 3. Helps protect living things from harmful rays of the sun 4. Nitrogen 5. Part of the muscles and organs of living things 6. Part of substances that make living things function She wants to use a different level for the uses of the gases. What can Hope do to change the numbers 2, 3, 5, and 6 to lowercase letters? Press the Space bar. Use the Tab key. Click the Sort option. Use the Multilevel List icon.
Answers
Answer:
D} Use the Multilevel List icon.
Step-by-step explanation:
i just took a quiz that had this question and this was the right answer. Hope this helped!
Answer:
D
Step-by-step explanation:
9. Which of these relations is a function?
Answers
Answer:
the answer is b
Step-by-step explanation:
4y - 7 = 5x2 - x + 2 + 3y
Quadratic Equations
Options are No, One, Two.
I don't remember learning how to do it with more than a, b, and c variable. I'm so confused please help.
Answers
Answer:
y = 9 + -1x + 5x2
Step-by-step explanation:
Simplifying
4y + -7 = 5x2 + -1x + 2 + 3y
Reorder the terms:
-7 + 4y = 5x2 + -1x + 2 + 3y
Reorder the terms:
-7 + 4y = 2 + -1x + 5x2 + 3y
Solving
-7 + 4y = 2 + -1x + 5x2 + 3y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3y' to each side of the equation.
-7 + 4y + -3y = 2 + -1x + 5x2 + 3y + -3y
Combine like terms: 4y + -3y = 1y
-7 + 1y = 2 + -1x + 5x2 + 3y + -3y
Combine like terms: 3y + -3y = 0
-7 + 1y = 2 + -1x + 5x2 + 0
-7 + 1y = 2 + -1x + 5x2
Add '7' to each side of the equation.
-7 + 7 + 1y = 2 + -1x + 7 + 5x2
Combine like terms: -7 + 7 = 0
0 + 1y = 2 + -1x + 7 + 5x2
1y = 2 + -1x + 7 + 5x2
Reorder the terms:
1y = 2 + 7 + -1x + 5x2
Combine like terms: 2 + 7 = 9
1y = 9 + -1x + 5x2
Divide each side by '1'.
y = 9 + -1x + 5x2
Simplifying
y = 9 + -1x + 5x2
- = = - X4 = 1 = (25 pts.) Determine a E R so that the system X1 + (a – 1)x2 + x4 = 0 (a – 2)x1 AX 2 – X1 + (a – 1)x2 + ax3 + 24 = -1 ax1 + (a – 1)x2 + (a + 4)x3 + 24 = 0 may be solved by Cr
Answers
To determine the value of 'a' that allows the system of equations to be solved by Cramer's rule, we need to check the determinant of the coefficient matrix.
Cramer's rule requires that the determinant of the coefficient matrix is non-zero. The coefficient matrix for the given system is:
[1, (a – 1), 0, 1]
[(a – 2), a, 0, 0]
[a, (a – 1), (a + 4), 24]
To solve the system by Cramer's rule, we calculate the determinant of this matrix and set it not equal to zero. If the determinant is non-zero, there exists a unique solution for the system. By evaluating the determinant, we get:
D = a^3 - 7a^2 + 5a + 16
To find the value of 'a' that satisfies the condition, we set D not equal to zero and solve the equation: a^3 - 7a^2 + 5a + 16 ≠ 0. The value of 'a' that satisfies the condition will be the solution to this equation.
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Tammy wants to run at least 10 miles per week. So far this week she ran 4.5 miles. How many more miles must Tammy run this week to reach her goal?
Answers
Answer:
Tammy must run 5.5 miles more this week to reach her goal
Step-by-step explanation:
10 miles - 4.5 mies = 5.5 miles
The answer is 5.5 more miles.
A man is standing at the bottom of a tall building. He looks up at the top of the building at an elevation of 85°. The man is standing 20 feet away from the building. How tall is the building to the nearest foot?
Answers
The height of the building is approximately 125 feet to the nearest foot.
What is angle of incidence?
The angle of incidence is the angle formed by a ray of light or other wave as it approaches a surface, and a line perpendicular to that surface (known as the normal). It is the angle between the incident ray and the normal
We can use trigonometry to solve this problem. Let's assume the height of the building "h".
First, we need to find the distance between the man's eye level and the ground. We can use tangent function:
tan(85°) = h / 20
Solving for h, we get:
h = 20 * tan(85°)
h ≈ 125.36 feet
Therefore, the height of the building is approximately 125 feet to the nearest foot.
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An application of graph theory. (03) A two-processor operating system has n jobs J1, J2, ..., Jn to compile and execute. At any given moment, there can be at most one compilation in progress and at most one execution in progress. The required compilation times for the n jobs are ci, C2, ..., Cn, respectively; the execution times are ri, r2, ..., In, respectively. Jobs are executed in the same order as they are compiled and, of course, a job must be compiled before it is executed. It is known that for every pair of jobs, {Ji, J;}, either c;
Answers
A vertex i is assigned to processor 1 if all vertices j with an edge from j to i have been assigned to processor 1. Otherwise, vertex i is assigned to processor 2.
In computer science, graph theory has many applications. It is used to model the components of a computer and their relationships. Two-processor operating systems is one of its applications. There are n jobs (J1, J2, ..., Jn) in a two-processor operating system. At any given time, there can only be one compilation and one execution in progress. The required compilation times for jobs J1, J2, ..., Jn are ci, C2, ..., Cn, respectively. The execution times are ri, r2, ..., rn, respectively.
Jobs must be executed in the same order in which they were compiled. The graph contains n vertices, with each vertex representing a job. An edge from vertex i to vertex j indicates that job i must be compiled before job j.
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Elaine gets quiz grades of 67, 64, and 87. She gets a 84 on her final exam. Find the mean grade if the quizzes each count for 15% and final exam counts for 55% of the final grade.
Answers
Elaine's mean grade is 91.95.
To find Elaine's mean grade, we first need to calculate her overall grade based on the weights of each assignment. The quizzes each count for 15%, so their combined weight is 30% (15% x 2 quizzes). The final exam counts for 55%.
To calculate Elaine's overall grade, we need to multiply each assignment grade by its weight and add them together, then divide by the total weight.
So, her overall grade would be:
((67 x 0.15) + (64 x 0.15) + (87 x 0.30) + (84 x 0.55)) / 1
Simplifying this expression, we get:
(10.05 + 9.60 + 26.10 + 46.20) / 1
= 91.95
Therefore, Elaine's mean grade is 91.95.
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Can the side lengths of 2 9 12 form a triangle yes or no can the side lengths of 3 5 8 form a triangle yes or no can the side lengths of 10 12 15 form a triangle yes or no can the side length of 4 4 7 form a triangle yes or no
Answers
Answer:
2,9 , 12
NO
3,5,8
No
10,12 , 15
Yes
4,4,7
Yes
Step-by-step explanation:
Here, we want to know if the set of given sides will form a triangle
Mathematically, for a triangle to be formed, the sum of two sides must be greater than the third side
If we have a, b and c as sides of a triangle, then mathematically (
a + b > c
a + c > b
and b + c > a
If at any point, these does not work, then we can’t have a triangle
Let us consider the lengths one after the other
We proceed as follows;
2 9 12
Since 2 + 9 is not greater than 12, we cannot have a triangle
3 , 5, 8
Since 3 + 5 equals 8 and not greater than it, we cannot have a triangle
10 , 12 , 15
This forms a triangle
10 + 12 > 15
10 + 15 > 12
12 + 15 > 10
Lastly;
4 , 4 , 7
Since ;
4 + 4 > 7
and
4 + 7 > 4
we have a triangle