Answer:
2 distance
Step-by-step explanation:
you solve it and see it's easy know first try I will do it
Explain or show - Describe how the graph of y=3x+1 is the same and different from the graph of y=3x+4. your reasoning YA a. How are they the same? b. How are they different? x c. Explain or show your reasoning: (Feel free to use graph paper if you'd like.)
Answer:
a.) they have the same slope
b.) they have different y-intersepts
c.) in the slope-intercept formula y = mx + b, m is the slope and b is the y-intercept. since the two equations have the same slope but different y-intercepts we can infer they are parallel.
Consider the quadratic equation x² 20x + 13 = 0.
-
Completing the square leads to the equivalent equation (x-
—)² = —
The analogous equation for the square will be; (x-10)²=87.
What is Equivalent equation?Algebraic equations with equivalent solutions or roots are called equivalent equations.
Based on information provided, an equivalent equation is created by adding or deleting the same quantity or expression from both sides of a given equation;
Using the original equation as a starting point as;
-20x+ x² + 13 = 0
Now x² - 20x = -13.
We need to take the "x" term's coefficient, or b, to complete the square.
Then Divide by 2 and write the equation in the quadratic formula (ax² + bx + c = 0).Then,
B = -20
b/2 = -10
(b/2)² = 100
x² - 20x +100 = -13 + 100
On the left side,
LHS: (x + b/2)² = (x-10)2
RHS: -13 + 100 = 87
(x-10)² = 87
To know more about equivalent equation visit;
brainly.com/question/24004184
#SPJ2
WORTH 100 POINTS!!!
OPEN RESPONSE A city parking garage charges $4 to park for up to two hours. After that, an additional charge of $2.50 per hour applies. Write an equation in point-slope form that models the total cost y for parking x hours, where x > 2
Answer: y = 4 + 2.50(x > 2)
Step-by-step explanation: y is the outcome, the fixed cost is 4, and the variable cost is 2.50 × (x > 2).
Omar has a new credit card.He earns 300 reward points for every 100 dollars he spends. If Omar earned 1800 reward points, how much money did he spend?Easy question for easy points
Answer:
$600
Step-by-step explanation:
1800/300 = 6
6 x 100 = $600
Answer:
$600
Step-by-step explanation:
1800/300 = 6
6 x 100 = $600
what is the range of :
-6
-2.
11
8
10
12
Answer:
18
Step-by-step explanation:
The range is the biggest number minus the smallest number.
The biggest number is 12.
The smallest number is -6 .
Range = 12-(-6) = 18
1) Use implicit differentiation to find dy/dx of x³ y5+4x+2xy = 1.
The implicit differentiation of x³y⁵ + 4x + 2xy = 1 is dy/dx = [(-3x²y⁵ - 2y - 4) / (x³ + 2x)] / (x³y⁵ + 2x)
To find dy/dx of the equation x³y⁵ + 4x + 2xy = 1 using implicit differentiation, we differentiate both sides of the equation with respect to x.
Differentiating x³y⁵ + 4x + 2xy = 1 with respect to x, we get:
d/dx (x³y⁵) + d/dx (4x) + d/dx (2xy) = d/dx (1)
Now, let's differentiate each term separately:
For the term x³y⁵, we use the product rule:
d/dx (x³y⁵) = 3x²y⁵ + x³ × d/dx (y⁵)
For the term 4x, the derivative is simply 4.
For the term 2xy, we use the product rule:
d/dx (2xy) = 2y + 2x × d/dx (y)
And the derivative of the constant term 1 is 0.
Putting it all together, we have:
3x²y⁵ + x³ × d/dx (y⁵) + 4 + 2y + 2x × d/dx (y) = 0
Now, we need to find d/dx (y) or dy/dx, which is our desired result.
Rearranging the terms, we get:
x³ × d/dx (y⁵) + 2x × d/dx (y) = -3x²y⁵ - 2y - 4
To isolate dy/dx, we divide through by (x³ + 2x):
[x³ × d/dx (y⁵) + 2x × d/dx (y)] / (x³ + 2x) = (-3x²y⁵ - 2y - 4) / (x³ + 2x)
Now, we substitute dy/dx = d/dx (y) into the equation:
x³ × dy/dx × y⁵ + 2x × dy/dx = (-3x²y⁵ - 2y - 4) / (x³ + 2x)
Finally, we can solve for dy/dx:
dy/dx = [(-3x²y⁵ - 2y - 4) / (x³ + 2x)] / (x³y⁵ + 2x)\
To know more about differentiation click here :
https://brainly.com/question/32561290
#SPJ4
what demographic variables were measured at least at the interval level of measurement
Below are just a few examples of demographic variables that can be measured at the interval level i.e. age, income, years of education, time spent, rating scale.
At the interval level of measurement, variables are measured on a scale with equal intervals between values, but without a true zero point. Several demographic variables can be measured at the interval level. Here are some examples:
Age: Age can be measured at the interval level, as the difference between two ages is meaningful (e.g., the difference between 20 and 30 is the same as the difference between 40 and 50).
Income: Income can be measured at the interval level, as the differences between income brackets or salary ranges are meaningful. However, it's important to note that income often has a skewed distribution and may be better analyzed using logarithmic transformations or categorized into income groups.
Years of Education: The number of years of education can be measured at the interval level. It represents the difference between educational levels (e.g., the difference between 10 years of education and 12 years of education).
Time Spent: Variables related to time spent on activities, such as time spent watching television per day or time spent exercising per week, can be measured at the interval level. The differences in time intervals are meaningful.
Rating Scales: Likert-type scales, where respondents rate their agreement or disagreement on a statement using a scale (e.g., strongly agree, agree, neutral, disagree, strongly disagree), can be considered as interval level measurements. Although the individual responses are ordinal, the overall scale can be treated as interval when analyzing data.
It's worth noting that some of these variables, although measured at the interval level, may be treated differently in statistical analysis depending on the specific research question and context.
Learn more about statistical analysis here:
https://brainly.com/question/11969248
#SPJ11
Calculate the COP value for Rankine refrigeration cycle where
Th=10C and Tc=-20C.
The COP value for Rankine refrigeration cycle where Th=10°C and Tc=-20°C is -11.45.
The Rankine refrigeration cycle is a thermodynamic cycle that is commonly used in refrigeration. It uses a refrigerant to absorb heat from a cold space and release it into a warmer environment. The coefficient of performance (COP) is an important parameter that is used to measure the efficiency of a refrigeration cycle.
To calculate the COP value for Rankine refrigeration cycle where Th=10°C and Tc=-20°C, we can use the formula:
COP = QL/Wc
Where QL is the heat removed from the cold reservoir and Wc is the work done by the compressor.
We can calculate QL using the formula:
QL = mCp(Tc-Th)
Where m is the mass flow rate of the refrigerant, Cp is the specific heat capacity of the refrigerant, Tc is the temperature of the cold reservoir, and Th is the temperature of the hot reservoir.
Assuming that the mass flow rate of the refrigerant is 1 kg/s and the specific heat capacity of the refrigerant is 4.18 kJ/kg.K, we can calculate QL as:
QL = 1 x 4.18 x (-20-10) = -104.5 kW
(Note that the negative sign indicates that heat is being removed from the cold reservoir.)
We can calculate Wc using the formula:
Wc = m(h2-h1)
Where h2 is the enthalpy of the refrigerant at the compressor exit and h1 is the enthalpy of the refrigerant at the compressor inlet.
Assuming that the compressor is adiabatic and reversible, we can use the isentropic efficiency to calculate h2 as:
h2 = h1 + (h2s-h1)/ηs
Where h2s is the enthalpy of the refrigerant at the compressor exit for an isentropic compression process and ηs is the isentropic efficiency.
Assuming that the isentropic efficiency is 0.85, we can use a refrigerant table to find h1 and h2s for the given temperatures. For example, if we use R134a as the refrigerant, we can find h1 = -38.17 kJ/kg and h2s = -22.77 kJ/kg.
Substituting these values into the equation, we can calculate h2 as:
h2 = -38.17 + (-22.77+38.17)/0.85 = -29.04 kJ/kg
(Note that the negative sign indicates that work is being done by the compressor.)
Therefore, we can calculate Wc as:
Wc = 1 x (-29.04 - (-38.17)) = 9.13 kW
Finally, we can calculate the COP as:
COP = QL/Wc = -104.5/9.13 = -11.45
(Note that the negative sign indicates that the system is not a heat pump, but a refrigeration cycle.)Thus, the COP value for Rankine refrigeration cycle where Th=10°C and Tc=-20°C is -11.45.
To know more about Rankine Cycle:
brainly.com/question/16836203
#SPJ11
Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 (–$1).
Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.)
Answer:
\(P(X_i=2) =\dfrac{1}{6}\)
\(P(X_i=-1) =\dfrac{5}{6}\)
Step-by-step explanation:
Given the numbers on the chips = 1, 1, 3 and 5
Miguel chooses two chips.
Condition of winning: Both the chips are same i.e. 1 and 1 are chosen.
Miguel gets $2 on winning and loses $1 on getting different numbers.
To find:
Probability of winning $2 and losing $1 respectively.
Solution:
Here, we are given 4 numbers 1, 1, 3 and 5 out of which 2 numbers are to be chosen.
This is a simple selection problem.
The total number of ways of selecting r numbers from n is given as:
\(_nC_r = \frac{n!}{r!(n-r)!}\)
Here, n = 4 and r = 2.
So, total number of ways = \(_4C_2 = \frac{4!}{2!\times 2!} = 6\)
Total number of favorable cases in winning = choosing two 1's from two 1's i.e. \(_2C_2 = \frac{2!}{2! 0! } = 1\)
Now, let us have a look at the formula of probability of an event E:
\(P(E) = \dfrac{\text{Number of favorable ways}}{\text{Total number of ways}}\)
So, the probability of winning.
\(P(X_i=2) =\dfrac{1}{6}\)
Total number of favorable cases for -1: (6-1) = 5
So, probability of getting -1:
\(P(X_i=-1) =\dfrac{5}{6}\)
Please refer to the attached image for answer table.
Answer:
two = 1/6
and -1 = 5/6
Step-by-step explanation:
Jughead now earns $10.50 per hour. This is 175% of what he earned last year. How much did he earn last year?
Answer:
10.5/175*100=6
Step-by-step explanation:
How do you fnd the total amount of an interest paid? The question is "Find the total amount of interest paid one a principal of $2600 at a rate of 12% calculated per annum over 3 years." and I'm not sure how to figure it out
Answer:
936
Step-by-step explanation:
Because 12%of 2600= 312
or 0.12×2600=312 for the first year
so multiply by 3 to get interest for 3 years
312 × 3 =936
The table represents the heights and weights of the starting offensive players for a high school varsity football team. what conclusion drawn from the data best describes the correlation between height and weight for the team?
The conclusion drawn from the data best describes a positive correlation between height and weight for the team.
The table represents the heights and weights of the starting offensive players for a high school varsity football team. The question is asking for the conclusion that best describes the correlation between height and weight for the team.
To determine the correlation between height and weight, we can look at the data in the table and see if there is a pattern or trend. We can do this by creating a scatter plot of the data points, with height on the x-axis and weight on the y-axis.
After analyzing the scatter plot, we can draw the conclusion that there is a positive correlation between height and weight for the team. This means that as height increases, weight tends to increase as well. The data points on the scatter plot should show a general upward trend.
In summary, the conclusion drawn from the data best describes a positive correlation between height and weight for the team.
Learn more about scatter plot,
brainly.com/question/29231735
#SPJ11
The correlation between height and weight for the high school varsity football team can be described as positive, no correlation, or weak correlation based on the observations. Correlation only describes the relationship between the variables and does not imply causation or provide an explanation.
Based on the given table representing the heights and weights of the starting offensive players for a high school varsity football team, we can draw the following conclusion regarding the correlation between height and weight for the team:
1. Positive correlation: If we observe that as the heights of the players increase, their weights also tend to increase, then we can conclude that there is a positive correlation between height and weight. This means that taller players generally have higher weights, and vice versa.
2. No correlation: On the other hand, if we notice that there is no clear pattern or relationship between height and weight, with some tall players having low weights and vice versa, then we can conclude that there is no correlation between height and weight for the team.
3. Weak correlation: If there is a weak correlation between height and weight, it means that there is a slight tendency for taller players to have higher weights, but the relationship is not very strong or consistent. In this case, we might observe some tall players with lower weights and some shorter players with higher weights.
Correlation only describes the relationship between two variables, in this case, height and weight. It does not imply causation or explain why the correlation exists.
Learn more about correlation:
https://brainly.com/question/30116167
#SPJ11
The points (−4, 7) and (5, −9) are on the graph of the function y = f(x). Find the corresponding points on the graph obtained by the given transformation. the graph of f shifted up 5 units (−4, 7) corresponds to (x, y) = (5, −9) corresponds to (x, y)
The points (-4, 7) and (5, -9) on the graph of the function y = f(x) correspond to the points (-4, 12) and (5, -4) on the graph of the function obtained by shifting f up 5 units.
To find the corresponding points on the graph obtained by shifting f up 5 units, we apply the given transformation to the original points.
For the point (-4, 7), shifting it up 5 units gives us (-4, 7 + 5) = (-4, 12).
For the point (5, -9), shifting it up 5 units gives us (5, -9 + 5) = (5, -4).
Therefore, the corresponding points on the graph obtained by shifting f up 5 units are (-4, 12) and (5, -4).
Learn more about transformation here:
brainly.com/question/31553669
#SPJ11
Convert the following time to 24-hour clock time.
1) 7:25 p.m
2) 9:10 a.m
Convert the following time to 12 hour clock.
1) 0010 hours
2) 1800 hours
Answer:
1925, 091012:10 a.m., 6:00 p.m.Step-by-step explanation:
24-hour time has 12 hours added for p.m. The time is written as HHMM, a 4-digit number of "hours." (The two right-most digits are minutes.)
1) 7:25 p.m. ⇒ 1925 hours
2) 9:10 a.m. ⇒ 0910 hours
__
12-hour time starts at midnight, 12:00 a.m. That corresponds to 0000 hours in 24-hour time. Anything beyond 1200 hours is afternoon, p.m.
1) 0010 hours ⇒ 12:10 a.m.
2) 1800 hours ⇒ 6:00 p.m.
which of the following graphs show the most reliable results, meaning that students performed similarly both times they took it? note that the x-axis shows the original text scores, and the y-axis shows the re-test scores).
The graph that shows the most reliable results is given as follows:
Option C.
What is a correlation coefficient?The correlation coefficient between two variables is an index that measures correlation between these variables, assuming values between -1 and 1.
If it is positive, the relation is direct proportional, and if it is negative, they are inverse proportional.
If the absolute value of the correlation coefficient is greater than 0.6, the relationship between the two variables is strong.
From this description, we get that the most accurate graph is the one with the higher correlation coefficient, hence Option C is correct.
Missing InformationThis problem gives two options, as follows:
Option B: Graph with correlation coefficient of r = 0.Option C: Graph with correlation coefficient of r = 0.87.More can be learned about correlation coefficients at https://brainly.com/question/16355498
#SPJ1
The digital camera memory card for Matt's camera can store 900
pictures. He took 123 pictures on Friday, 89 pictures on Saturday, and 246
pictures on Sunday. How many pictures does he have left on his camera
Answer:
442
Step-by-step explanation:
First, you need to add these numbers together: 123+89+246. For which you get, 458. After, you need to subtract 900 from 458. This gives you the answer of 442.
The digital camera memory card for Matt's camera can store = 900 pictures
Picture's took on Friday= 123'
Picture's took on Saturday= 89
Picture's took on Sunday= 246
(Add the total picture's took on Friday, Saturday and Sunday)
Picture's took on Friday, Saturday and Sunday :- => 123+89+246=> 458
Hence, He took 458 pictures on Friday, Saturday and Sunday.
The digital camera memory card for Matt's camera can store = 900 pictures
The picture's he can take more in his camera:-
=> 900-458
=> 442
Therefore, The picture's he can take more in his camera is 442.
you are asked to construct the bisector of
You should have started the building on the opposite ray; you started it on the incorrect ray. It divides R into two parts
How do you construct a bisector of an angle?Draw an arc across both of the angle's rays beginning at the vertex.Draw a new set of intersecting arcs from each pair of existing arcs.The angle bisector is created by drawing a line from the vertex to the intersection.
A line that bisects or splits an angle into two equal halves is called an angle bisector. If the angle's measurement is known, all we would need to construct an angle bisector geometrically is a ruler, pencil, compass, and protractor. An angle bisector can cut any angle in half.Make an arc that touches both sides. Place the cursor where the arc meets the horizontal side. On the inside of the angle, make a second arc mark.
The correct answer is option d)You started the construction the wrong ray, you should have started on the other.
To learn more about bisector refer to :
https://brainly.com/question/24334771
#SPJ1
Which equation equals 6928? 3137 + 3791. 3137 + 3792. 3237 + 3791.
Answer:
A, 3137 + 3791.
Step-by-step explanation:
You can test each answer, by hand or with a calculator, keeping the differences between the options carefully in mind.
A. 3137 + 3791 = 6928
B. 3137 + 3792 = 6929
C. 3237 + 3791 = 7028
Of these, A gives you 6928.
Look over Chuck's work What is incorrect about the way Chuck interpreted his problem? What should have been a clue to Chuck that something was wrong?
The probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.
To find the probability that a random student will be taking both Algebra 2 and Chemistry, we need to use the concept of conditional probability.
Let's denote the event of taking Algebra 2 as A and the event of taking Chemistry as C. We are given that P(A) = 0.08 (8% probability of taking Algebra 2) and P(C|A) = 0.17 (17% probability of taking Chemistry given that the student is taking Algebra 2).
The probability of taking both Algebra 2 and Chemistry can be calculated using the formula for conditional probability:
P(A and C) = P(C|A) * P(A)
Substituting the given values:
P(A and C) = 0.17 * 0.08
P(A and C) = 0.0136
Therefore, the probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.
It is important to note that the probability of taking both Algebra 2 and Chemistry is determined by the intersection of the two events, which means students who are taking both courses. In this case, the probability is relatively low, as it depends on the individual probabilities of each course and the conditional probability given that a student is taking Algebra 2.
For more such questions on probability visit:
https://brainly.com/question/25839839
#SPJ8
PLEASEEE HELP 25 points
Answer:
slope= 1/10x and the slope represents the increase of the rental cost after x miles driven.
Step-by-step explanation:
i hope this helps :)
The operation * is defined as a * b = a+2ab
solve 2* 3 and 3*2
both is 14 hope it helps
first picture is incorrect second one is correct. answer is 14
HELP HOW DO I DO THIS
Answer:
x = 35°
Step-by-step explanation:
The three angles in a triangle add up to 180°.
The little square in the corner of one angle means that is a right angle and is 90°.
90° + 55° + x = 180°
145° + x = 180°
Subtract 145° from both sides.
x = 180° - 145°
x = 35°
Point Q' is the image of Q(0.6) under the translation (2, y) + (x + 7, y – 5).
What are the coordinates of Q'?
What is the solution to the system of equations?
6x−4y=152
y=3x−762
Answer:
Hi! The correct answer is (1448/3, 686)
Step-by-step explanation:
~Solve for the first variable in one of the equations, then substitute the result into the other equation~
13. Janine has job offers at two companies. One
company offers a starting salary of $23,000 with
a raise of $3000 each year. The other company
offers a starting salary of $36,000 with a raise of
$2000 each year.
a. After how many years would Janine's salary be
the same with both companies?
b. What would that salary be?
9514 1404 393
Answer:
13 years$62,000Step-by-step explanation:
a) The 36000 -23000 = 13000 difference in salary is being made up at the rate of 3000 -2000 = 1000 per year. It will take 13000/1000 = 13 years for the salaries to be the same.
__
b) After 13 years, the salary will be ...
23000 +13(3000) = 23000 +39000 = 62,000 . . . dollars
36000 +13(2000) = 36000 +26000 = 62,000 . . . dollars
Answer:
after the first company, her salary would be 48000 in 5 years
after the second company, her salary would be 48000 in 4 years
Step-by-step explanation:
Does this graph represent a function? Why or why not?
A. No, because it is not a straight line.
• B. Yes, because it passes the vertical line test.
C. Yes, because it is a curved line.
• D. No, because it fails the vertical line test.
SUBMIT
Answer:
B. Yes, because it passes the vertical line test.
Step-by-step explanation:
Vertical line test - if a vertical line passes through more than one pone, the relation is not a function
Any vertical line will only pass through one point, so this relation is a function
The relation is a function because it passes the vertical line test
There is an equal chance of the pointer stopping at each
area of the game spinner below.
What is the theoretical probability of spinning the pointer and having it stop on a green area
A. 0.125
B. 0.25
C. 1.00
D. 0.50
Answer:
B. 0.25
Step-by-step explanation:
There are 8 total pieces.
2 of them are green.
that makes it a 2/8 chance it will land on green.
2/8 = 1/4
1/4 = 0.25
Answer:
B. 0.25
Step-by-step explanation:
There are 8 possible landing areas, all with equal size.
There are 2 green area.
p(event) = (number of desired outcomes)/(number of total outcomes)
The desired outcome is landing on green. There are 2 desired outcomes.
The total number of possible outcomes is 8.
p(green) = 2/8 = 1/4 = 0.25
Answer: B. 0.25
What is y = mx + b mean for functions
Answer:
Slope-Intercept Form. A function whose graph is a line or a part of a line is called a linear function. In general, a linear function is a function that can be represented by an equation in the form y = mx + b. The form y = mx + b, or f(x) = mx + b, is called the slope-intercept form of a linear equation
Step-by-step explanation:
hope this help:))
Find the area of a hexagon with an apothem of 15in(the height)
The area of the regular polygon with an apothem of 15 inches will be 2338.27 square inches.
What is the area of the regular polygon?Let 'a' be the apothem and 'b' be the regular side length.
Then the area of the regular polygon will be
A = 3 × a × b
We know that each angle of the regular hexagon is 60°.
Then the base length is given as,
b = 2a tan θ
b = 2 x 15 x tan 60°
b = 51.96 in
Then the area of the regular hexagon is given as,
A = 3 × a × b
A = 3 × 15 × 51.96
A = 2338.27 square inches
The area of the regular polygon with an apothem of 15 inches will be 2338.27 square inches.
More about the area of the regular polygon link is given below.
https://brainly.com/question/12000718
#SPJ1
solve for x:
2x+4=16
Answer:
6
Step-by-step explanation:
2x+4=16
2x=12
x=6
Answer: x = 6
Step-by-step explanation: To solve for x, we must first
isolate the term containing x, which in this problem is 2x.
Since 4 is being added to 2x, we subtract 4
from both sides of the equation to isolate the 2x.
On the left, the +4 and -4 cancels
out and on the right, 16 - 4 is 12.
So we have 2x = 12.
Then just divide both sides by 2 so x = 6.