The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is
.
The center of the circle is at the point
, and its radius is
units.
The general form of the equation of a circle that has the same radius as the above circle is
.
Answer:
Step-by-step explanation:
x² + y² + 42x + 38y - 47 = 0
Put the equation into standard (center-radius) form:
regroup terms
(x²+42x) + (y²+38y) = 47
complete the squares:
(x²+42x+21²) + (y²+38y+19²) = 47 + 21² + 19²
(x+21)² + (y+19)² = 849
center at (-21,-19)
radius = √849 units
The general form of the equation for a circle with radius √849 units is:
(x-h)² + (y-k)² = 849
where the (h,k) is the center.
what is 9p+p equal to
Answer:
this is impossible
Step-by-step explanation:
can someone help me with this?
Carlos took a 3-day car trip. on the second day he drove 360 miles. on the third day he drove 3 times as far as he did on the first day. if his trip was 1080 miles long, how far did Carlos drive on the first?
Answer:
240mi
Step-by-step explanation:
1080 - 360 = 720
720 / 3 = 240
240 day 1 + 360 day 2 + 720 day 3 = 1080 total
4.It is your first day on the job. Your supervisor asks you to distribute materials to three job sites. She asks you to take the following to each site: How much of each material do you load on the truck?
Answer:
27 boxes of nails, 26 boxes of drywall, 46 rolls of insulation, 30 bags of mortar mix
Step-by-step explanation:
Boxes of nails = 4 + 13 + 10 = 27
Boxes of drywall = 6 + 9 + 11 = 26
Rolls of insulation = 18 + 23 + 5 = 46
Bags of mortar mix = 12 + 4 + 14 = 30
please help ill give brainlist
Answer:
Nonliving ;;
-Computer
-basketball
- aluminium can
- phone
Unicellular ;;
- Euglena
- amoeba
- bacteria
Multicellular ;;
- Fern
- Tree
- bear
- penguin
- human
A salesperson receives a weekly salary of $450. In addition, $15 is paid for every item sold in excess of 200 items. How much extra is received from the sale of 218 items?
In total, the salesperson receives $450 (weekly salary) + $270 (extra payment for selling 18 items in excess) = $720 for the week.
The salesperson's base salary is $450 per week. For selling 218 items, the salesperson sold 18 items in excess of the 200 items threshold. Therefore, the salesperson receives an extra payment of $15 per item for those 18 items, which amounts to an additional $270 (18 items x $15 per item). So in total, the salesperson receives $450 (weekly salary) + $270 (extra payment for selling 18 items in excess) = $720 for the week.
Salary is the term used to describe the set amount of money an employee is paid for the labour or services they provide to a company. It acts as a monetary incentive for the person's abilities, knowledge, and commitment to the business and is often expressed as an annual or monthly sum. Salaries can vary significantly depending on a number of variables, including the position held, the sector, the location, the level of skill, and the size and financial resources of the company.
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(a) Create a vector A from 40 to 80 with step increase of 6. (b) Create a vector B containing 20 evenly spaced values from 20 to 40. (Hint: what should you use?)
(a) Create a vector A from 40 to 80 with step increase of 6.The linspace function of MATLAB can be used to create vectors that have the specified number of values between two endpoints. Here is how it can be used to create the vector A. A = linspace(40,80,7)The above line will create a vector A starting from 40 and ending at 80, with 7 values in between. This will create a step increase of 6.
(b) Create a vector B containing 20 evenly spaced values from 20 to 40. linspace can also be used to create this vector. Here's the code to do it. B = linspace(20,40,20)This will create a vector B starting from 20 and ending at 40 with 20 values evenly spaced between them.
MATLAB, linspace is used to create a vector of equally spaced values between two specified endpoints. linspace can also create vectors of a specific length with equally spaced values.To create a vector A from 40 to 80 with a step increase of 6, we can use linspace with the specified start and end points and the number of values in between. The vector A can be created as follows:A = linspace(40, 80, 7)The linspace function creates a vector with 7 equally spaced values between 40 and 80, resulting in a step increase of 6.
To create a vector B containing 20 evenly spaced values from 20 to 40, we use the linspace function again. The vector B can be created as follows:B = linspace(20, 40, 20)The linspace function creates a vector with 20 equally spaced values between 20 and 40, resulting in the required vector.
we have learned that the linspace function can be used in MATLAB to create vectors with equally spaced values between two specified endpoints or vectors of a specific length. We also used the linspace function to create vector A starting from 40 to 80 with a step increase of 6 and vector B containing 20 evenly spaced values from 20 to 40.
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Kaylee makes 105. 16 for 11 hours of work, what is her hourly wage
Kaylee's hourly wage is $9.56 per hour.
To find Kaylee's hourly wage, we need to divide her total pay by the number of hours she worked:
hourly wage = total pay / number of hours
In this case, Kaylee made $105.16 for 11 hours of work. So her hourly wage would be:
hourly wage = $105.16 / 11 hours
hourly wage = $9.56 per hour (rounded to two decimal places)
Therefore, Kaylee's hourly wage is $9.56 per hour.
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A line has a slope of 14. The line passes through the point (4, 6). The line also passes through the point (12, k). What is the value of k?
Answer:
slope=change in y /change in x so,14=12-4/k-6so8/k-6=14k =46/7
A polynomial function has a degree of 8. What is the maximum number of turning points?
Answer:
7
Step-by-step explanation:
To find the maximum number of turning points of any polynomial function, subtract one from the degree.
Since the degree is 8, subtract 1 from this:
8 - 1
= 7
So, the maximum number of turning points is 7.
A vendor has 18 balloons for sale: 9 are yellow, 3 are red, and 6 are green. a balloon is selected at random and sold. if the balloon sold is yellow, what is the probability that the next balloon selected at random is also yellow? fraction 9 over 18 fraction 8 over 18 fraction 9 over 17 fraction 8 over 17.
When a vendor sell a yellow balloon randomly from 18 balloons for sale out of which 9 are yellow, 3 are red, and 6 are green, the probability that the next balloon selected at random is also yellow is 8/ 17.
Therefore the answer is 8 over 17.
There are total of 18 balloons for sale and out of that 9 are yellow.
After selling a yellow balloon, the total number of balloon remaining is
18 - 1 = 17
And the number of yellow balloon remaining is
9 - 1 = 8
So now the probability of selecting a yellow balloon randomly is given by dividing the number of yellow balloons remaining by the total number of balloon remaining, that is
Probability = 8/ 17
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Consider the function f(x)=√x2+9−x.
A. Find the vertical and horizontal asymptotes.
B. Find the interval where the function is decreasing.
C. Find the interval where the function is concave up.
D. Sketch the graph of f.
a jar has 1000 coins, of which 999 are fair and 1 is double-headed. pick a coin at random, and toss it 8 times. given that you see 8 heads, what is the probability that the next toss of that coin is also a head?
A jar has 1000 coins, of which 999 are fair and 1 is double-headed. pick a coin at random, and toss it 8 times. given that you see 8 heads, the probability that the next toss of that coin is also a head 1.
Since the coin is double-headed, each toss will always result in a head. Therefore, the probability of getting a head on the next toss is 1, or 100%. This is because the coin has been identified as having two heads, and thus it can never land on a tail.
The coin is still subject to the laws of probability, so it is not guaranteed that it will always land on a head, but it does make the probability of getting a head on the next toss one hundred percent. It is important to note, however, that this probability is only true for the specific coin, and not for any other coin in the jar. The other 999 coins in the jar are all fair coins, meaning that the probability of getting a head on the next toss is still 50-50.
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4. Mena spent 135 minutes playing sports. The ratio of the minutes spent on basketball to the minutes spent on soccer is 2 to 3. How many minutes did Mena spend on soccer? *
27 minutes
45 minutes
54 minutes
81 minutes
Calculate the Laplace transform and its inverse using the second translation theorem.
Match the left column with the right column. You must provide the entire procedure to arrive at the answer.Paree: 1. L −1
{ e −35
s 5
} a) u(t−2)cos4(t−2) 2. L −1
{ s(s+1)
e −2s
} b) c) 4sinh3(t−4)u(t−4) 3. L −1
{ se −2s
s 2
+16
} c) (t−4)u(t−4)e x(−4)
4. L −1
{ 6e −3s
s 2
+4
} d) 3u(t−3)sin2(t−3) 5. L −1
{ 12e −45
s 2
−9
} e) 24
1
(t−3) 4
v(t−3) 6. L −1
{ (s−3) 2
+16
12e −2s
} f(1−e −(t−2)
)∥(t−2) 7. L −1
{ (s−3) 2
e −4s
} h) 3∥(t−2)e x(−2)
sin4(t−2)
To match the left column with the right column using the Laplace transform and its inverse, we will calculate the Laplace transform for each function in the left column and then find the inverse Laplace transform to match it with the correct answer in the right column. Here is the procedure for each case:
L^-1{e^(-3s) / s^5}: To calculate the Laplace transform inverse, we can use the second translation theorem. In this case, the inverse transform corresponds to t^n * F(s), where F(s) is the Laplace transform of the function and n is the order of the derivative. Applying this, we have:
L^-1{e^(-3s) / s^5} = t^4 * (1/4!) = (1/24) * t^4
L^-1{s(s+1) / e^(2s)}: Using partial fraction decomposition, we can write the expression as (A / s) + (B / (s+1)), where A and B are constants. Solving for A and B, we get A = -1 and B = 1. Then, applying the inverse Laplace transform, we have:
L^-1{s(s+1) / e^(2s)} = -u(t-2) + u(t-2) * e^(t-2) = u(t-2) * (e^(t-2) - 1)
L^-1{s * e^(-2s) / (s^2 + 16)}: This can be simplified using the second translation theorem. The inverse transform is given by t * F(s), where F(s) is the Laplace transform of the function. Applying this, we have:
L^-1{s * e^(-2s) / (s^2 + 16)} = t * (1/2) * sin(4(t-2)) * u(t-2)
L^-1{6 * e^(-3s) / (s^2 + 4)}: This can be simplified using the second translation theorem. The inverse transform is given by t * F(s), where F(s) is the Laplace transform of the function. Applying this, we have:
L^-1{6 * e^(-3s) / (s^2 + 4)} = 3 * u(t-3) * sin(2(t-3))
L^-1{12 * e^(-4s) / (s^2 - 9)}: This can be simplified using the second translation theorem. The inverse transform is given by t * F(s), where F(s) is the Laplace transform of the function. Applying this, we have:
L^-1{12 * e^(-4s) / (s^2 - 9)} = 24 * (t-3) * v(t-3) * sinh(3(t-3))
L^-1{(s-3)^2 / ((s-2)^2 + 16)}: This can be simplified using the second translation theorem. The inverse transform is given by F(t-a), where F(s) is the Laplace transform of the function and a is the constant inside the transform. Applying this, we have:
L^-1{(s-3)^2 / ((s-2)^2 + 16)} = (t-2) * e^(-2(t-2)) * sin^4(t-2)
By matching the calculated inverse Laplace transforms with the given options in the right column, we can determine the correct pairs.
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bal.com Look at this graph. 10 8 6 4 Su N -B -6 0 N 10 -2 7. -6 -10 What is the equation of the line in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
First, locate the coordinates of two points
(8, -2) and (2, -8)
Find the slope
x₁=8 y₁=-2 x₂=2 y₂=-8
Using the slope formula,
\(m=\frac{y_2-y_1}{x_2-x_1}\)\(m=\frac{-8+2}{2-8}\)\(=\frac{-6}{-6}\)\(=1\)slope (m) = 1
Find the intercept
substitute x = 8 y=-2 and m = 1 in y=mx+ b and then solve for intercept b
-2 = 1(8) + b
-2 -8 = b
b = -10
Substitute the value of m and b into y=mx+b to form the equation
y = 1x - 10
Hence the equation is;
y = x - 10
I need help , slope calculator
Answer:
Step-by-step explanation:
change in x (horizontal) = 4 - 1 = 3
Change in y (vertical) = 9 - 3 = 6
Slope = change in x / change in y
slope = 3 / 6 = 1/2
Express each of these statment using quantifires :
a) every student in this classes has taken exactly two mathematics classes at this school.
b) someone has visited every country in the world except Libya
Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.
a) "Every student in this class has taken exactly two mathematics classes at this school."
In this statement, we have two main quantifiers:
Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual student in the class. It indicates that the following condition applies to each and every student.
Existential quantifier (∃): This quantifier indicates the existence of something. In this case, it asserts that there exists exactly two mathematics classes at this school that each student has taken.
So, when we combine these quantifiers and their respective conditions, we get the statement: "For every student in this class, there exists exactly two mathematics classes at this school that the student has taken."
b) "Someone has visited every country in the world except Libya."
In this statement, we also have two main quantifiers:
Existential quantifier (∃): This quantifier signifies the existence of a person who satisfies a particular condition. It asserts that there is at least one person.
Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual country in the world (excluding Libya). It indicates that the following condition applies to each and every country.
So, when we combine these quantifiers and their respective conditions, we get the statement: "There exists at least one person who has visited every country in the world (excluding Libya)."
In summary, quantifiers are used to express the scope of a statement and to indicate whether it applies to every element or if there is at least one element that satisfies the given condition.
Therefore, Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.
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Find the absolute value. What is 1/4
Answer:
0.25
Step-by-step explanation:
:)
Answer: the absolute value of 1/4 is 1
Step-by-step explanation:
Christine buys 7.2 gallons of gas for $24.84. Find the unit price in dollars per gallon. If necessary, round your answer to the nearest cent.
Answer:
The unit price in dollars per gallon is $3.45.
Step-by-step explanation:
To find the unit price in dollars per gallon, we need to divide the total cost by the number of gallons:
Unit price = Total cost / Number of gallons
Unit price = $24.84 / 7.2 gallons
Unit price = $3.45/gallon
Therefore, the unit price in dollars per gallon is $3.45.
Hope this helps! If not, I'm sorry. If you need more help, ask me! :]
Answer:
$3.45
Step-by-step explanation:
We just need to divide 24.84 by 7.2
We get $3.45 per gallon
May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!
please help me with this question
at the first blank there are options either (y-intercept, slope, x-intercept)
second blank (positive, negative, 0, a whole number)
Answer:
y-intercept
zero
Step-by-step explanation:
We can determine the differences between proportional and non-proportional situations or relationships. We all need to know that linear relationships can be represented as tables, words, equations, and graphs. The non-proportional relationship will affect the y-intercept in the graph and it will no longer than zero and the ratios in the table not be proportional.
What is equivalent to 8?
A:2^3
B:3^-2
C:2^-3
D:3^2
Answer: A:2^3
Step-by-step explanation:
8=2*2*2=(2)^3
write a function rule for the table be quick plzz
A lunch menu has 7 different sandwiches, 4 different soups, and 6 different drinks. How many different lunches consisting of a sandwich, a soup, and a drink can you choose?
The number of choices for ordering a sandwich, a bowl of soup, and a drink are 168 choices.
What is multiplication?Multiplication is the process of calculating the total of one number multiplied by another. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The menu consists of 7 different sandwiches, different soups, and 6 different drinks. Therefore, the number of choices for ordering a sandwich, a bowl of soup, and a drink are:
Number of choices = 7 × 4 × 6 = 168 choices
Hence, 168 choices of lunch consisting of a sandwich, a bowl of soup and a drink can be chosen
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Lonna watched 1/2 of a movie in the morning, and he watched ome more at night. By the end of the day, he till had 2/5 of the movie left to watch. How much of the movie did Lonna watch at night?
\(\frac{1}{10}\) part of movie the Lonna will watch at night.
As per the given data in question:
Watched movie in morning = \(\frac{1}{2}\)
Movie Left to watch = \(\frac{2}{5}\)
Subtraction of fractions: Subtracting fractions include the subtraction of two or more fractions with the same or different denominators.
Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.
Movie she watch at night = 1 - Watched movie in morning - Movie Left to watch
Movie she watch at night = 1 - \(\frac{1}{2}\) - \(\frac{2}{5}\)
LCM denotes the least common factor or multiple of any two or more given integers.
By taking L.C.M
Movie she watch at night = \(\frac{(10-5-4) }{10}\)
\(=\frac{10-9}{10}\)
Movie she watch at night = \(\frac{1}{10}\) Part
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How do I solve and show work?
Answer:
this is the answer⬆hope it helps
write down an algebraic expression for each of the following statements:
a) subtract 4 from the sum of 2x and 5y
b)Add 9z to the product of 3x and 7y
c)multiply the product of 7x and 11y by 2x
d) divide the sum of 3z and 7s by 5a
f) Thrice the value of w divided by the sum of 3x and 7y
pls answer fast I need this by tmr
Answer:
a) (2x + 5y) - 4
b) 21xy + 9z
c) 154x²y
d) (3z + 7s) ÷ 5a
f) 3w ÷ (3x + 7y)
Step-by-step explanation:
Algebraic expressions:a) Sum of 2x and 5y : 2x + 5y
Subtract 4 from (2x + 5y) : (2x + 5y) - 4
Ans: (2x + 5y) - 4
b) Product of 3x and 7y: 3x * 7y = 3*7 * x*y = 21xy
Add 9z to 21xy: 21xy + 9z
Ans: 21xy + 9z
c) Product of 7x and 11y: 7x * 11y = 7*11*x*y = 77xy
Multiply (77xy) by 2x: 77xy *2x = 154x²y
Ans: 154x²y
d) Sum of 3z and 7s: 3z + 7s
Divide (3z + 7s) by 5a: (3z + 7s)÷ 5a
Ans: (3z + 7s) ÷ 5a
f) Sum of 3x and 7y: 3x + 7y
Thrice the value of w: 3*w = 3w
3w divided by (3x + 7y) : 3w ÷ (3x + 7y)
Ans: 3w ÷ (3x + 7y)
Will give brainliest if correct
Find the slope:
15. (4, 3); (-1, 10)
16. (3, -5); (2, -5)
17. (-5, 2); (-5, 3)
Answer:
15) Slope (m) = -7/5
16) Slope (m) = 0
17) Slope (m) = 1/0 (It's an undefined slope, in other words it's just a vertical line)
Step-by-step explanation:
Use this formula for each, to find slope⤵⤵⤵
\( \frac{y {2} - y1}{x2 - x1} \)
15) ⤵
\( \frac{10 - 3}{ - 1 - 4} = \frac{7}{ - 5} = - \frac{7}{5} \)
16) ⤵
\(\frac{ - 5 - ( - 5)} {2 - 3} = \frac{0}{ - 1} = 0\)
17) ⤵
\( \frac{ 3 - 2}{ - 5 - ( - 5)} = \frac{1}{0} \)
Hope this helps :)
Which fraction is equivalent to 0.4?
StartFraction 4 over 100 EndFraction
One-fourth
Four-tenths
StartFraction 4 over 1 EndFraction
Answer:
Four-tenths
Step-by-step explanation:
Four-tenths
Hope it helps you in your learning process.
Yaritza and her children went into a restaurant that sells hamburgers for $5 each and tacos for $2.50 each. Yaritza has $60 to spend and must buy at least 14 hamburgers and tacos altogether. If x represents the number of hamburgers purchased and y represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
The system of inequalities is
x + y ≥ 14
5x + 2.5y ≤ 60
Given, that Yaritza and her children went into a restaurant that sells hamburgers for $5 each and tacos for $2.50 each.
Yaritza has $60 to spend and must buy at least 14 hamburgers and tacos altogether.
As, x represents the number of hamburgers purchased and y represents the number of tacos purchased
Now, according to the question
x + y ≥ 14
as, she must buy at least 14 hamburgers and tacos altogether.
Now, 5x + 2.5y ≤ 60
as, she has $60 to spend.
So, we have two inequalities
x + y ≥ 14
5x + 2.5y ≤ 60
Hence, the system of inequalities for the given problem is
x + y ≥ 14
5x + 2.5y ≤ 60
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