What is the slope of the line?
10
15
20
25
Answers
Answer:
Step-by-step explanation:
(10, 15), (20, 25)
(25 - 15)/(20 - 10) = 10/10 = 1
m = 1
Related Questions
What are some possible reasons for DNA mutations that could occur in a person?
Answers
Answer:
Acquired or somatic mutations occur at some time during a person's life and are present only in certain cells, not in every cell in the body. These changes can be caused by environmental factors such as ultraviolet radiation from the sun, or can occur if an error is made as DNA copies itself during cell division.
given the following graph, what is the slope and y-intercept?
Answers
The slope and y-intercept are 2 and 1 respectively.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Note: Each interval on this graph represent 1 unit.
Based on the information provided, we can logically deduce the following slope and data points on the line:
Points on x-axis = (0, 2).Points on y-axis = (1, 3).Substituting the given data points into the slope formula, we have the following;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (3 - 1)/(2 - 1)
Slope (m) = 2/1
Slope (m) = 2.
In conclusion, the y-intercept of this line is at (0, 1).
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Answer:
y=1x+1
Step-by-step explanation:
Need help, there are also two more questions to answer after those but I couldn’t put them in the picture, they are semicircle and radius. Thanks
Answers
Answer:
arc KL=minor arc
arc LJK=major arc
Step-by-step explanation:
so minor arc is a arc which is larger than a semicircle .
a major arc is a circle having measure less than radians.
The data given below correspond to the weights in kg of eighty people. Get the mean and the mode.
Answers
ANSWERS
• Mean: 67.025
,• Mode: 67
EXPLANATION
The mean is the sum of all the data, divided by the amount of data,
\(\bar{x}=\frac{1}{n}\sum_{i\mathop{=}1}^nx_i\)In this case, the amount of data is 80,
\(\bar{x}=67.025\)Hence, the mean of this data set is 67.025.
The mode is the value or values in the data set that occurs most frequently. It is easier to find if we order the data set,
The value 67 occurs 9 times, while the second most frequent value is 66, which occurs 7 times.
Hence, the mode of this data set is 67.
A taxi charges an airport pickup fee of $3 plus $1.50 for each mile traveled. If a taxi ride cost John $36, how many miles did John travel in the taxi?
Answers
John travelled 22 miles.
$36 - $3 = $33
$33/$1.50 = 22 miles
The finding that average IQ has increased steadily over the 20th century is referred to as the ______________.
Answers
The finding that average IQ has increased steadily over the 20th century is referred to as the Flynn effect.
The Flynn effect is the observation that the average IQ has risen continuously over the 20th century.The Flynn effect is what?The Flynn effect is the finding that IQ levels in the general population rise over time and across generations.
For instance, during the past century, IQ scores have continuously risen in industrialised nations by about 3 points every decade. James R. Flynn, a political scientist from New Zealand who first observed this pattern, created the phrase "Flynn effect" in 1987.
The Flynn effect is significant because it demonstrates that IQ levels are not constant but can alter due to environmental factors. It also emphasises how challenging it is to define and assess intelligence, particularly when contrasting populations from various historical periods or cultural backgrounds.
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Can someone help me out with this question, please!?!?!
Stan wants to figure out how fast a roller coaster travels. He finds out that the speed of the roller coaster, in miles per hour, is modeled by the function below where x is time measured in seconds. How fast is the roller coaster traveling at 3 seconds?
r(x)=x^(4)-3x^(2)+5x-10
A: 9 miles per hour
B: 29 miles per hour
C: 54 miles per hour
D: 59 miles per hour
Answers
The rollercoaster is 59 miles per hour traveling at 3 seconds.
The correct option is D.
What is speed?
Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is traveling along a route.
Given:
Stan wants to figure out how fast a roller coaster travels.
He finds out that the speed of the roller coaster, in miles per hour, is modeled by the function below where x is time measured in seconds.
The function is,
r(x)=x⁴-3x² +5x -10
At 3 seconds,
r(3) = (3)⁴-3(3)² +5(3) -10
r(3) = 59 miles per hour.
Therefore, r(3) = 59 miles per hour.
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There is a 5hance that the mean reading speed of a random sample of second grade students will exceed what value?
Answers
The specific value that the mean reading speed of a random sample of second-grade students will exceed cannot be determined solely based on the given information.
The statement mentions a "chance" but does not provide any specific information about the distribution or standard deviation of the reading speeds. Without knowing the variability of the data, it is not possible to determine a precise value that the mean reading speed will exceed.
To estimate the value, we would need additional information such as the standard deviation or a confidence interval. With this information, statistical techniques such as hypothesis testing or confidence intervals could be used to determine the likelihood of the mean reading speed exceeding a particular value.
Therefore, without more information, we cannot determine the exact value that the mean reading speed of a random sample of second-grade students will exceed. The statement implies that there is a possibility, but without additional data or assumptions, it is not possible to provide a specific value.
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Plz Help first person to answer with explanation will get brainiest!!!
Write a congruence statement for the pair of triangles.
Answers
Divers in a competition are scored by an international panel of judges. The highest and the lowest scores are dropped. The total of the remaining scores is multiplied by the degree of difficulty of the dive. This product is multiplied by 0.6 to determine the final score. The degree of difficulty of a dive is 4.0. The diver's final score is 97.2. Judges award half or whole points from 0 to 10. What scores could the judges have given the diver?
Answers
Step-by-step explanation:
calculating backwards :
97.2 is the final score.
this was multiplied in the final step by 0.6, so we divide by 0.6 :
97.2 / 0.6 = 162
this is the result of a multiplication by 4 (difficulty factor).
so, we divide this by 4 and get
40.5
so, this is the total sum of the scores (without the highest and lowest scores).
there is one problem with the question : we don't know how many judges there were.
clearly, as the highest possible score of one judge is 10, the score sum of 40.5 tell us that there must have been at least 5 "remaining" judges plus the 2 for highest and lowest scores that were dropped. so, at least 7 judges in total.
normally, there would not be more than 10 judges, so there were between 5 and 8 remaining scores.
if there were 5, then they must have given scores around 8 points (40.5 / 5 ≈ 8).
they could have been e.g.
7.0 8.5 9.0 8.0 8.0
and the dropped scores could have been
6.5 and another 9.0
if there were more judges, then the mean value of the remaining scores was lower.
if there were 10 judges (8 remaining), then we would talk about scores around 5 (40.5 / 8 ≈ 5).
they could have been
4.0 4.5 5.5 6.5 6.0 5.0 5.0 4.0
and the dropped scores could have been
4.0 and 7.0
Use the number line below to calculatex: 0 DAT В. O C. 12 16 12 D. 1/2 3 6 4 6 5 6
Answers
Answer: \(\frac{4}{12}\)
Step-by-step explanation:
1 * 4 = 4
2 * 6 = 12
(1 * 4) / (2 * 6)
=> 4 / 12
Answer:
4/12
Step-by-step explanation:
there were x quarts of liquid in a con-tainer. first, 3 4 of the liquid in the container was removed. then another 1 2 quart was poured into the container. write an expression in terms of x for the number of quarts of liquid in the container at the end. then write another equivalent expres-sion.explain
Answers
The another equivalent expression of total liquid is (x+2)/4.
Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.
x quarts liquid in the container 3/4 part of liquid is removed
Then remaining liquid in container = X - \(\frac{3}{4}X\)
Then remaining liquid in container = x/4quarts
Another 1/2 quart is poured into container
Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts
total liquid = \(\frac{X+2}{4}\) quarts
So, then the another equivalent expression of total liquid is (x+2)/4.
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What is the measure of angle P?
Round only your final answer to the nearest hundredth.
Answers
Answer:
i think its 130
Step-by-step explanation:
hope this helps? :|
A nurse mixes 40 cc of a 70% saline solution with a 10% saline solution to produce a 26% saline solution. How much of the 10% solution should he use?
Answers
ANSWER :
He should use 110 cc of 10% solution
EXPLANATION :
Note that the percent solution is the amount of salt divided by the total volume or quantity.
From the problem, 40 cc of a 70% saline solution.
The amount of salt is 0.70(40) = 28 cc
Another solution is "x" cc of 10% saline solution.
The amount of salt is 0.10x cc
When added together, the total volume is 40 + x
and the amount of salt is 28 + 0.10x
The resulting solution is 26% saline solution.
So we can have :
\(\frac{\text{ amount of salt}}{\text{ total volume}}=0.26\)Substitute the results :
\(\begin{gathered} \frac{28+0.10x}{40+x}=0.26 \\ \text{ Cross multiply :} \\ 28+0.10x=0.26(40+x) \\ 28+0.10x=10.4+0.26x \\ 0.10x-0.26x=10.4-28 \\ -0.16x=-17.6 \\ x=\frac{-17.6}{-0.16}=110 \end{gathered}\)Refer to the Exhibit Cape May Realty. Testing the significance of the slope coefficient at a = 0.10, one can conclude that a. Because the p-value < 0.10, we can reject the null hypothesis. Therefore, there is enough evidence to say that the square footage has no effect on the property rental rate. b. Because the p-value < 0.10, we fall to reject the null hypothesis Therefore, there is enough evidence to say that there is no relationship between square footage and property rental rate. c. Because the p-value <0.10, we can reject the null hypothesis. Therefore, there is enough evidence to say that the population slope coefficient is different from zero. d. Because the p-value <0.10.we can reject the null hypothesis. Therefore, there is enough evidence to say that the population slope coefficient is greater than zero.
Answers
Based on the given information in Exhibit Cape May Realty, the question is asking to test the significance of the slope coefficient at a significance level of a = 0.10. The p-value is less than 0.10, which means that the null hypothesis can be rejected. This leads to the conclusion that the population slope coefficient is different from zero. Therefore, option C is the correct answer.
This means that there is a statistically significant relationship between square footage and property rental rate. As the slope coefficient is different from zero, it indicates that there is a positive or negative relationship between the two variables. However, it does not necessarily mean that there is a causal relationship. There could be other factors that influence the rental rate besides square footage.
In summary, the statistical analysis conducted on Exhibit Cape May Realty indicates that there is a significant relationship between square footage and property rental rate. Therefore, the population slope coefficient is different from zero. It is important to note that this only implies a correlation, not necessarily a causal relationship.
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public class BinarySearch \{ public static void main(Stringll args) f int [1]yl ist ={1,2,3,7,10,12,20}; int result = binarysearch ( inylist, 20); if (result =−1 ) System, out, println("Not found:"); else System.out.println("The index of the input key is " + result+ ". "): y public static int binarysearch(int]l List, int key) \{ int low =0; int high = iist. length −1 while (high >= low) \& int mid =( low + high )/2; if (key < List [mid] high = mid −1; else if (key =1 ist [ mid ] ) return inid; else low = mid +1; return −1; // Not found \} l TASK 4: Binary Search in descending order We have learned and practiced the implementation of the binary search approach that works on an array in ascending order. Now let's think about how to modify the above code to make it work on an array in descending order. Name your new binary search method as "binarysearch2". Implement your own code in Eclipse, and ensure it runs without errors. Submit your source code file (.java file) and your console output screenshot. Hint: In the ascending order case, our logic is as follows: int mid =( low + high )/2 if ( key < list [mid] ) else if (key = ist [mid]) return mid; In the descending order case; what should our logic be like? (Swap two lines in the above code.)
Answers
The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.
The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.
To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.
The modified code for binary search in descending order would look like this:
public static int binarysearch2(int[] list, int key) {
int low = 0;
int high = list.length - 1;
while (high >= low) {
int mid = (low + high) / 2;
if (key > list[mid])
high = mid - 1;
else if (key < list[mid])
low = mid + 1;
else
return mid;
}
return -1; // Not found
}
By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.
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Which numbers are 4 units from -2 on this number line?
Drag and drop the two numbers that are 4 units from -2 to their correct position on the number line.
Answers
Answer:
-6 and 2
Step-by-step explanation:
See attached worksheet.
The graph shows the responses of 80 students who were asked whether they spend too much or too little time watching television. How many thought they watched too little television?
Answers
Step-by-step explanation:
\(80 \div 100 \times 30 = \\ = 0.8 \times 30 = \\ = 24\)
Make a the subject of the formula v = u + at.
Hence, find the value of a when t = 4, u = 10 and v=50.
Answers
Step-by-step explanation:
v = u + at
v-u = at
a = (v -u)/t
When t = 4, u=10, v=50
a = (50-10)/4
a= 40/4
a = 10
You get a = 10
The fraction of the time she worked was 7/9
Answers
Answer:
what
Step-by-step explanation:
Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?
Answers
Let's calculate the products and check if they indeed have the same value:
Product of 32 and 46:
32 * 46 = 1,472
Reverse the digits of 23 and 64:
23 * 64 = 1,472
As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.
To find two other pairs of two-digit numbers that have this property, we can explore a few examples:
Product of 13 and 62:
13 * 62 = 806
Reversed digits: 31 * 26 = 806
Product of 17 and 83:
17 * 83 = 1,411
Reversed digits: 71 * 38 = 1,411
As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.
For example, let's consider the pair 25 and 79:
A = 2, B = 5, C = 7, D = 9
The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.
Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.
what percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line?
Answers
The percentage of the variation in y can be explained by the corresponding variation in x and the least - squares line
The value of the coefficient of determination r2 = 0.9617*0.9617 = 0.9249
percentage of the variation in y can be explained by the corresponding variation in x and the least - squares line is = 92.49%
So, percentage is unexplained = (100 - 92.49)%
= 7.51%
Therefore, the percentage of the variation in y that can be explained by the corresponding variation in x and the least-squares line is 92.49% . The percentage which is unexplained is 7.51% i.e. (100%−92.49%) .
Hence the variation in X and the least-squares line is 7.51%
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Calculate the rate of change for each table and determine if the table is proportional
Answers
9514 1404 393
Answer:
tables A, B, E are proportional relationships
Step-by-step explanation:
Finding the rate of change involves finding the ratio of the difference of adjacent y-values to the difference of adjacent x-values. For this many tables and points, I find that to be exceptionally tedious, so I let a spreadsheet do the work.
For the four points, there are three ratios. In the attachment, each ratio is between the point on the same line and the point on the next line. Two conditions are required for the table to be proportional:
the rates of change must all be the samethe rate of change must be equal to the ratio of y to xThe green color identifies tables that are proportional.
The vertices of a rectangle are A(-2, 4), B(-2,6), C(3,6), and D(3, 4). Which expression
shows how to find the length of the diagonal?
Answers
Answer:
Third option correct
Step-by-step explanation:
The diagonal is the distance between 2 of the vertices, and to end.
So the option we shall choose will contain 2 of the vertices in a distance between points equation.
Mathematically, the distance between two points is given by;
D = √(x2-x1)^2 + (y2-y1)^2
The correct option is the third option.
This is because it takes into consideration two of the vertices which are points A and point C
Answer: c the third one
Step-by-step explanation:
Let ƒ(x, y) = x2 - xy + y2 - y. Find the directions u and the
values of Du ƒ(1, -1) for which Du ƒ(1, -1) = 4
"
Answers
The given function is ƒ(x, y) = x² - xy + y² - y. We need to find the directions u and the values of Du ƒ(1, -1) for which Du ƒ(1, -1) = 4.
Directions u:Let u = (a, b) be a unit vector in R², then we can write u as:u = ai + bj, where i and j are the unit vectors along the x-axis and y-axis respectively.
Now, |u|² = 1
⇒ a² + b² = 1
Values of Du ƒ(1, -1):
The directional derivative of ƒ(x, y) in the direction of u at the point (1, -1) is given by:Du ƒ(1, -1) = ∇ƒ(1, -1)·u
Here, ∇ƒ(x, y) = (2x - y, 2y - x - 1)
⇒ ∇ƒ(1, -1) = (3, -3)
Therefore,Du ƒ(1, -1) = (3, -3)·(a, b)
= 3a - 3b
As we are given, Du ƒ(1, -1) = 4
Thus, 3a - 3b = 4
⇒ a - b = 4/3
b - a = 4/3
Now, we have a + b = 1
a - b = 4/3
Thus, a = 7/6 and
b = -1/6
a = -1/6 and
b = 7/6
Thus, the possible directions are:u = (7/6, -1/6) and
u = (-1/6, 7/6)Hence, the required directions u are (7/6, -1/6) and (-1/6, 7/6).
The explanation for finding the directions u and the values of Du ƒ(1, -1) for which Du ƒ(1, -1) = 4 is provided above.
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differentiation from first principles. please help! question is attached :)
Answers
Answer:
d
Step-by-step explanation:
1.1 Simplify the following without the use of a calculator, clearly showing all steps:
log3 108 - log3 4 + log4 1/⁴√64
1.2 Write the following expression as seperate logarithms:
log√(x^2-3)^5/10(1+x^3)^2
1.2 Slove for x if 4lnx - loge^2x^2 = 9
Answers
1.1. The given expression is;
\(log3 108 - log3 4 + log4 1/⁴√64\)
Now, let's simplify this expression,
we use the following formula ;
\(loga (m/n) = loga m - loga n\)
Let's solve this problem;
\(log3 108 - log3 4 + log4 1/⁴√64= log3 (108/4) + log4 (2/1)= log3 27 + log4 2= 3 + 1/2= 3.5\)
\(log3 108 - log3 4 + log4 1/⁴√64 = 3.5\).
1.2. The given expression is;
\(log√(x^2-3)^5/10(1+x^3)^2\)
Now, let's solve this problem ,using logirithum ;
\(log√(x^2-3)^5/10(1+x^3)^2= 1/2 log (x^2-3)^5 - log 10 + 2 log (1+x^3)= 5/2\)
\(log (x^2-3) - 1 - 2 log 10 + 2 log (1+x^3)= 5/2\)
\(l\)\(og (x^2-3) - 1 + 2 log (1+x^3) - log 100\)
\(log√(x^2-3)^5/10(1+x^3)^2 = 5/2\)
\(log (x^2-3) - 1 + 2 log (1+x^3) - log 100.\)
1.3. The given expression is;\(4lnx - loge^2x^2 = 9\)
Now, let's solve this problem;
\(4lnx - loge^2x^2 = 9ln x^4 - loge (x^2)^2 = 9ln x^4 - 4 ln x = 9ln x^4/x^4 = 9/4\)
Therefore,
\(x^4/x^4 = e^(9/4)x = e^(9/16)\).
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how to convert m/s to rad/s?
Answers
By using the formula that connects the linear velocity to the angular velocity, we may convert metres per second (m/s) to radians per second (rad/s).
Using the formula that connects the linear velocity to the angular velocity, we may convert metres per second (m/s) to radians per second (rad/s).
The equation reads: Radius divided by linear velocity gives you the angular velocity (). (r) where R is in metres, V is in m/s, and is in rad/s.
Direct conversion from m/s to rad/s is not possible if the radius is omitted. The aforementioned formula can be used to determine the missing value and then convert m/s to rad/s if you know the radius or the angular velocity. You can use the formula to determine the angular velocity in rad/s, for instance, if you know the linear velocity v in m/s and the radius r in metres.
ω = v / r
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Then you have to purchase a new black belt because of all the Tylenol pray had the bell prize at $80 however I was in Wisconsin by 20% after that discount the store I tried signing on tax of 8% why was the final price and then you’ll pay for the belt?
Answers
Answer:
How might an author's point of view be related to his or her purpose?
Step-by-step explanation:
Answer:
You pay $69.12.
Step-by-step explanation:
1x+9/2-5x-6/3=4x-3/3
Answers
Answer:
5.33333
Step-by-step explanation:
Given:
\(x + \frac{9}{2} - 5x - \frac{6}{3} = 4x - \frac{-3}{3}\)
Make the denominators Equal
\(\frac{6x + 27-30x-12}{6} = \frac{24 + 6}{6}\)
\(\frac{-24x + 15}{6} = \frac{24x+6}{6}\)
Cross- Multiply :
\(6(-24x + 15) = 6(24x + 6)\)
\(-144x + 90 = 144x + 36\)
\(90 - 36 = 144x + 144x\)
\(54 = 288x\)
\(x = \frac{288}{54} = 5.3333\)
Hope it helps.