Find an equation for the line that passes through the point (x, y) = (5, −5) and is parallel to the x-axis.
Find an equation for the line that passes through the point (x, y) = (4, −8) and is parallel to the line 4x − 8y = 5.
Find an equation for the circle that has center (−3, 2) and passes through the point (4, −2).
Therefore, the equation of the circle is \((x + 3)^2 + (y - 2)^2 = 65.\)
The line parallel to the x-axis has a constant y-value. Since it passes through the point (5, -5), the equation of the line is y = -5.
To find the equation of a line parallel to the line 4x - 8y = 5, we need to determine the slope of the given line. We can rewrite the equation in slope-intercept form: y = (1/2)x - 5/8. The slope of this line is 1/2. Therefore, any line parallel to it will also have a slope of 1/2. Using the point-slope form, we can find the equation of the line passing through (4, -8):
y - (-8) = (1/2)(x - 4)
y + 8 = (1/2)x - 2
y = (1/2)x - 10
The equation of a circle with center (h, k) and radius r is given by the equation \((x - h)^2 + (y - k)^2 = r^2\). In this case, the center is (-3, 2) and the point (4, -2) lies on the circle. We can substitute these values into the equation and solve for the radius:
\((4 - (-3))^2 + (-2 - 2)^2 = r^2\\7^2 + (-4)^2 = r^2\\49 + 16 = r^2\\65 = r^2\)
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evaluate expression when a=-7 and c=6 a-6c
Answer:
-43
Step-by-step explanation:
Answer:
c = − 6
Step-by-step explanation:
The larger of two numbers is 11 more than twice the smaller number. The sum of the numbers is 1 less than seven times the smaller number. Find the numbers. please put an explanation I need this fast
Answer:
The larger number is 17 and smaller number is 3.
Step-by-step explanation:
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if a number is divisible by two co-prime numbers then it is also divisibe by their product true or false
Answer:
Hello,
Answer TRUE.
Step-by-step explanation:
a | n is read, a divide n.
if a | n => n=a*q
if b | n => b | a*q , since gcd(a,b)=1, b | q ==> b=q*k
n=a*q=a*b*k=(a*b)*k so a*b | n
What is right ?
please help!!!!
Answer: last option
Step-by-step explanation: every value can be divided by 21
Answer: D)
Step-by-step explanation: 21 x 6 = 126, 21 x 8 = 168, and 21 x 9 = 189
-5x+3y>9 help me plesese so i can grids
Answer:\(x<−95+3y5\)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
HELLLPPPPP HURRY PLLEEAASEEEE.
Use place value and the distributive property to match each multiplication expression with an equal
Answer:
this is it
Step-by-step explanation:
edge 2021
Please help soon, it's timed!!
What is the domain of the function shown in the graph?
What is the equation of a line that is parallel to 2x +3y = 3 and passes through the point (3, -4) ?
Answer:
2x + 3y = -6
Step-by-step explanation:
The equation of the new line will be identical to that of the given line except that the constant term will differ.
Start with the given 2x + 3y = 3 and replace x with 3 and y with -4. We get:
2(3) + 3(-4) = C, and C = 6 - 12 = -6
The equation of the new line is therefore 2x + 3y = -6
since yall are smart uh i need help so
What is the difference between the 15th square number and the 3rd square number?
Answer:
216
Step-by-step explanation:
15^2=225
3^2=9
225-9=216
a fish is reeled in at a rate of foot per second from a point feet above the water (see figure). at what rate is the angle between the line and the water changing when there is a total of feet of line from the end of the rod to the water?
(-10/252) x (1/0.9165) = 0.0175 rad/sec is the equation for theta/dt.
Angle theta in the displayed figure can be expressed as
Theta sin = 10/sin
The angle will change at the following rate:
(-10/x2)(dx/dt) = cos theta(theta/dt)
Now, when x equals 25 feet, we require d theta/dt.
The fishing line is reeled in at a rate of
dx/dt = -1 ft/sec.
Now, if x equals 25, then Cosine equals
[ (x2-100)]
Cosine equals [ (252-100)]/25 = 0.9165So,
(-10/x2)(dx/DT)(1/cos theta) = theta/DT
The formula for theta/it is (-10/252)x(1/0.9165) = 0.0175 rad/sec.
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Which of the following examples would constitute a discrete random variable?
I. Total number of points scored in a football game
II. Height of the ocean's tide at a given location
III. Number of near collisions of aircraft in a year
The examples that would constitute a discrete random variable are;
I. Total number of points scored in a football game
III. Number of near collisions of aircraft in a year
What is discrete random variable?A discrete random variable has only a countable number of different values that it can assume. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values. A variable whose value is determined by counting is referred to as a discrete variable.
A continuous variable is one whose value may be determined through measurement. A random variable is a variable whose value is the resultant number of an unpredictable event.
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Two trains leave the same train station at the same time, but in opposite directions. The faster train travels at an average rate of 75 miles per hour and the slower train travels at an average rate of 68 miles per hour. In how many hours will they be 715 miles apart?
Two trains leave the same train station at the same time but in opposite directions. The faster train travels at an average rate of 75 miles per hour and the slower train travels at an average rate of 68 miles per hour. In 5 hours will they be 715 miles apart.
Given that two trains leave the same train station at the same time, but in opposite directions.
The faster train travels at an average rate of 75 miles per hour and the slower train travels at an average rate of 68 miles per hour.
We need to determine in how many hours will they be 715 miles apart?
Let's solve this question.
Since two trains leave the station at the same time and travel in opposite directions.
So the relative speed between them would be the sum of their speeds.
Therefore, the relative speed of the two trains is
= 75+68 = 143 miles per hour.
Now, we have to find in how many hours will they be 715 miles apart?
We can use the below formula to solve the above question:
Distance = Speed x Time
=> Time = Distance/Speed
Where,
Distance = 715 miles and
Speed = 143 miles/hour
Substituting the above values in the formula, we get;
Time = 715/143
=> Time = 5 hours
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a hypothesis is a a) prediction of results. b) tentative statement that something may be true. c) fact. d) all of these
A hypothesis is a) prediction of results and b) tentative statement that something maybe true.
A hypothesis is a statement or assumption made about a phenomenon or relationship, used as a starting point for further investigation. It is a tentative explanation for an observation, phenomenon or problem that can be tested through experimentation or additional data collection.
So a hypothesis can be true of false. A hypothesis is not certainly a fact too since it need to be tested.
If a hypothesis is proven to be true through experimentation and data analysis, it becomes a confirmed explanation or prediction. This means that the evidence supports the hypothesis and it can be used as a basis for further study or explanation. However, a true hypothesis is always subject to revision or rejection if new information or evidence becomes available.
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A store sells two shades of purple paint. The tables show the number of gallons of blue paint and the number of gallons of red paint used to make each shade of purple paint.
Shade A
Number of Gallons of Blue Paint
8
12
16
24
Number of Gallons of Red Paint for shade A
12
18
24
36
Shade B
Number of Gallons of Blue Paint
5
7
9
12
Number of Gallons of Red Paint
10
14
18
24
Based on the tables, which statements are true? Choose all that apply.
A. The ratio of the number of gallons of red paint to the number of gallons of blue paint in
shade B is 2:1.
B. Shade B should be redder than shade A because shade B has 2 gallons of red paint for every 1 gallon of blue paint. Shade A has 13 gallons of red paint for every 1 gallon of blue paint.
C. Shade A should be bluer than shade B because shade A has 1 gallon of blue paint for every 2 gallons of red paint. Shade B has 1 gallon of blue paint for every 1/2 gallons of red paint.
D. Shade A should be bluer than shade B because shade A has gallons of blue paint for every 1 gallon of red paint. Shade B has gallon of blue paint for every 1 gallon of red paint.
E. If the store owner adds 1 gallon of blue paint to 20 gallons of shade A, she creates 21 gallons
of shade B.
Answer:
A. False
B. False
C. False
D. False
E. False
Explanation:
A. The ratio of the number of gallons of red paint to the number of gallons of blue paint in shade B is 2:1, but this statement only holds true for the first set of values provided.
B. The statement is not true since the table does not provide information about the proportion of blue to red paint in shade A or B.
C. The statement is not true since the table does not provide information about the proportion of blue to red paint in shade A or B.
D. The statement is not true since the table does not provide information about the proportion of blue to red paint in shade A or B.
E. The statement is not true since there's no information about how the shade A is made.
Step-by-step explanation:
Bill’s Bait and Tackle is selling minows and worms. The minows are $5 per bag and the worms are $7 per bag. Bill sells 220 total bags and made $1250 total. How many bags of minnows and worms did he sell?
The number of hurricanes reaching the East Coast
24 is an outlier and it is possible that there are other outliers at the high end of the data set. There are no outliers at the low end of the data set.
Summary measures are shown below.
Min = 12
Max = 24
Lower quartile = 15
Upper quartile = 18
Median = 16
n=10
How to find outlier(s)?To find the outlier(s) in this data set, we can use the interquartile range (IQR) method. The IQR is calculated as the difference between the upper quartile (Q3) and lower quartile (Q1), which in this case is 18 - 15 = 3.
We can then use the IQR to define the limits for what is considered an outlier. Anything below Q1 - 1.5 x IQR or above Q3 + 1.5 x IQR is considered an outlier.
Using these calculations, the outlier limits for this data set are:
Lower limit = Q1 - 1.5 x IQR = 15 - 1.5 * 3 = 9.5
Upper limit = Q3 + 1.5 x IQR = 18 + 1.5 * 3 = 24.5
Thus, 24 is an outlier, and there may be further outliers at the top end of the data set. At the bottom end of the data set, there are no outliers.
Hence, the correct answer would be option (D).
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what scale of measurement is used for the independent variable
The scale of measurement used for the independent variable in a research study is determined by the nature of the variable and the research question. The four scales of measurement are nominal, ordinal, interval, and ratio.
Nominal scales are used for variables that have no inherent order, such as gender or race. Ordinal scales are used for variables that have a specific order, but the difference between each value is not necessarily equal, such as education level or socioeconomic status. Interval scales are used for variables where the difference between each value is equal, but there is no true zero point, such as temperature or time. Ratio scales are used for variables where the difference between each value is equal, and there is a true zero point, such as weight or height.To know more about scale of measurement, visit:
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6x/x-3
4x + 6/ x-3
Solve the equation
Answer:
I think it's 8 I'm not sure though
Sharlene purchased a new truck, whose value over time depreciates. Sharlene's truck depreciates according to the function y = 45,529(0.78)x, where x represents the number of months since the truck was purchased. What is the range of the exponential function y based on its equation and the context of the problem?
Based on the context of the problem, the range of the exponential function y = \(45,529(0.78)^x\) is y > 0.
The exponential function for depreciation given in the problem is:
y = 45,529(0.78)^x
This function gives us the value of Sharlene's truck in dollars after x months of ownership, assuming that the depreciation follows a constant rate and is modeled by an exponential function.
To find the range of the function, we need to consider the minimum value that y can take. Since depreciation leads to a decrease in value over time, y should always be greater than zero. In other words, the range of the function is:
y > 0
In practical terms, this means that Sharlene's truck will always have some positive value, even if its market value has decreased due to depreciation. In other words, a truck is never worth zero or less than zero (unless it has additional debts associated with it), and Sharlene's truck will always have some resale or scrap value even if it has depreciated significantly.
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h 10 yd.
L 14 yd.
W 3 yd.
Volume=
Answer:
10yd x 14 yd x 3yd = 420yd ^3
Step-by-step explanation:
When calculating for the volume you multiply all three numbers. That’s why when you write your answer you cube it.
Question 16
4 pts
Our classroom is a rectangle that is 24. 6 feet long and 20 feet wide. Find
the area of our classroom. Remember: Area = length x width
The area is
[ Select ]
[ Select ]
The area of classroom is 492 square feet if the classroom is a rectangle that is 24. 6 feet long and 20 feet wide.
What is an Area?
The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.)
The area occupied by a rectangle within its boundary is called the area of the rectangle.
Area = length x width
According to the given question:
Classroom is a rectangle that is 24.6 feet long and 20 feet wide
∴ Area of classroom = 24.6 x 20
= 492 sq feet
Hence the area of classroom is 492 sq feet
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Easy? Please help me
Sarah earns $
8.50
8.50 per hour babysitting. She needs to make at least $
187
187 to buy a new bike.
Write an inequality to represent the number of hours Sarah needs to work to afford the bike.
187
h
≥
8.50
187h≥8.50
187
h
≤
8.50
187h≤8.50
8.50
h
≥
187
8.50h≥187
8.50
h
≤
187
8.50h≤187
Answer:
The answer is A
Step-by-step explanation:
Hope it helps!
I NEED ANSWERS
b=10m с a=7m
Answer:
c = 12.2
Step-by-step explanation:
a squared + b squared = c sqared
7 squared + 10 squared = 49+ 100 = 149 = \(\sqrt{x} 149\) = 12.2
Three of the following are examples of instrumental (operant) conditioning. Which one is not? Explain!!
a. When Raluca’s teacher praises her in class for her fine oral description of a mathematical problem, Raluca is embarrassed and vows never to act so smart in front of her friends again.
b. When Diallo changes the time of day that he does his homework, and finds that he is doing better than ever, he continues to do his homework at that new time.
c. When Danny tells a funny joke, his classmates all laugh. Danny soon becomes the class clown, telling jokes at every opportunity.
d. When Michelle discovers that she can leave her mathematics class early by complaining about a stomachache, she begins to get these "stomachaches" about once a week.
The example that is not an example of instrumental (operant) conditioning is option a.
When Raluca's teacher praises her in class for her fine oral description of a mathematical problem, and Raluca becomes embarrassed and vows never to act so smart in front of her friends again.
Instrumental conditioning, also known as operant conditioning, involves the association between a behavior and its consequences, which in turn influences the likelihood of that behavior recurring in the future. In instrumental conditioning, behaviors are strengthened or weakened based on the consequences they produce.
Option b, c, and d all demonstrate instrumental conditioning. In option b, Diallo changes the time of day he does his homework and finds that he is doing better, so he continues to do his homework at that new time. This shows that the behavior of doing homework at the new time is reinforced by the positive consequence of doing better.
In option c, Danny tells a funny joke, and his classmates' laughter serves as a positive consequence that reinforces his behavior of telling jokes. This leads to an increase in the behavior of telling jokes, and Danny becomes the class clown.
In option d, Michelle discovers that she can leave her mathematics class early by complaining about a stomachache. By receiving the positive consequence of leaving early, her behavior of complaining about a stomachache is reinforced, leading to an increase in the occurrence of this behavior.
However, in option a, Raluca's embarrassment and her decision to not act smart in front of her friends again are not consequences that reinforce or strengthen her behavior. Instead, her embarrassment leads to the avoidance of the behavior, suggesting that this example is not an illustration of instrumental conditioning.
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These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
It's C.
The value is increasing threefold relative to the previous step.
all other function values increase by a fixed amount and are therefore linear
PLEASE HELP ME!!! I WILL MARK YOU BRAINLIEST!!!
Select the correct answer.
Which component of the Compromise of 1850 most enraged Northerners?
A.
the Kansas-Nebraska Act
B.
the acceptance of Missouri as a slave state
C.
the Fugitive Slave Act
D.
the nullification of the Missouri Compromise
E.
allowing western states to vote for slavery
Answer:
c: Fugitive Slave Act
Step-by-step explanation:
Search on Google.
Answer:
answer is (A) the Kansas Nebraska Act
Step-by-step explanation:
I would like help with this question i don’t understand?
Answer:
Step-by-step explanation:
ebony walks 118*60*5= 35400 steps
Javier walks 6000 in 50 minutes
5 hours is 300 minutes
which means we walks 6000 steps 6 times
6*6000= 36000 steps
therefore javier walked more steps
5. Texas Highway Patrol Officers determine the speed a car was traveling when the driver slammed on the brakes by
measuring the length of the skid marks left by the tires. The speed of a car on dry pavement can be determined using the
function f (x)= 242 where x is the length of the skid marks in feet. The graph below shows the length of skid marks
for several cars.
Answer:
they skided 242 feet
Step-by-step explanation:
Answer:
20x20)(20)20000)$yes
let x1 and x2 be independent random variables. suppose the mean and variance of x1 are 2 and 4, respectively. suppose, the mean and variance of x2 are 3 and 5, respectively. what is the mean and variance of: a. y
Answer:
The mean and variance of a y is 5 and 9 respectively.
Step-by-step explanation:
Let x1 and x2 be independent random variables.
Suppose the mean and variance of x1 are 2 and 4, respectively. Suppose, the mean and variance of x2 are 3 and 5, respectively. We need to find the mean and variance of y.
Mean of y,
The mean of y is given by the sum of the means of x1 and x2.
Mean of y = Mean of x1 + Mean of x2
Mean of y = 2 + 3
Mean of y = 5
Thus, the mean of y is 5.
Variance of y,
The variance of y is given by the sum of the variances of x1 and x2.
Variance of y = Variance of x1 + Variance of x2
Variance of y = 4 + 5
Variance of y = 9
Thus, the variance of y is 9.
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