What is the center and radius of the circle that has the equation x+72+y-42=49? Explain.
Answers
Answer: The center is (-7, 4) and the radius is 7.
Step-by-step explanation:
The equation for a circle usually is:
(x - a)^2 + (y - b)^2 = R^2
where R is the radius, and (a, b) is the center of the circle.
I guess that the equation in this case is:
(x + 7)^2 + (y - 4)^2 = 49
then, in this case we have:
a = -7 and b = 4, then (a, b) = (-7, 4)
this means that the center of our circle is in the point (-7, 4)
and we know that:
R^2 = 49
R = √49 = 7
Then the radius is equal to 7.
Related Questions
solve for 47= -19+p two step and multi step
equations
Answers
Answer:
p = 66
Step-by-step explanation:
47 = -19 + p
-19 + p = 47 {Add 19 to both sides}
p = 47 + 19
p = 66
P=66
1. Twelve large bottles of water cost $9.
How many bottles can you buy for $3?
What is the cost per bottle of water
How much would 7 bottles of water cost?
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2.A 10-pound sack of flour costs $8.
How much does 40 pounds of flour cost?
What is the cost per pound of flour?
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3. Four bags of chips cost $6.
What is the cost per bag?
At this rate, how much will 7 bags of chips cost?
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4. At a used book sale, 5 books cost $15.
What is the cost per book?
At this rate, how many books can you buy for $21?
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5. Neon bracelets cost $1 for 4.
What is the cost per bracelet?
At this rate, how much will 11 neon bracelets cost?
Answers
Answer:1. $3- 4 bottles, 1 bottle = 4/3 , 7 bottles= 28/3
2. 40 pounds=$32, 1 pound= $8/10
3. Per bag= 3/2, 7bags= 21/2
4. Per book = $3, 21 books= $63
5. Per bracelet = 0.25 cents, 11 bracelets = 2 dollars 75 cents
Step-by-step explanation:
It is 0.75 a bottle. We know that because 0.75 times 12 equals nine, so that checks our work.
7 bottles of water would cost 5.25 dollars because 0.75x7 is 5.25
Answer 2: 40 pounds would cost $32 because 10x4=40 so we can do $8x4= $32
It is 0.8 per pound. We know this because you divide 10 by 8 and it’s 0.8
Answer 3: It’s $1.50 per bag. We know that because $4 divided by 6 is $1.50.
At that rate, 7 bags would be $10.50. Because 1.50 times 7 equals 10.50.
Answer 4: it is 3 dollars per book. Because 15 divided by 5 is 3. At that rate we can buy 7 books because 7 times 3 is twenty one.
Answer 5: it is 0.25 per bracelet. We know this because 1 divided by 4 is 0.25. At that rate 11 bracelets will cost 2.75 dollars. We know this because 0.25 times 11 equals 2.75!
Hope this helps!
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
Answers
and
C(13, 5) = 13! / (5!(13-5)!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287
Multiply these two combinations since the faculty members and students are selected independently:
Total number of ways to form the committee = C(7, 4) * C(13, 5) = 35 * 1287 = 45,045
Therefore, there are 45,045 ways to form the committee consisting of 4 faculty members and 5 students.
For faculty members:
There are 7 eligible faculty members, and we need to select 4 of them for the committee. This can be done using the combination formula:
C(7, 4) = 7! / (4!(7 - 4)!) = 35.
So, there are 35 ways to select 4 faculty members from the 7 eligible ones.
For students:
There are 13 eligible students, and we need to select 5 of them for the committee. Using the combination formula again:
C(13, 5) = 13! / (5!(13 - 5)!) = 1287.
Therefore, there are 1287 ways to select 5 students from the 13 eligible ones.
To form the committee, we multiply the number of ways to select faculty members by the number of ways to select students:
35 * 1287 = 44,895.
Hence, there are 44,895 ways to form the committee consisting of 4 faculty members and 5 students from the eligible candidates.
In the 2021 football season, the Riverside Red Dragon's manager gathered the points scored by the team during the regular season games. The following data set shows the values collected by the manager.
{17, 0, 28, 17, 17, 20, 28, 11, 17, 22, 24, 33, 20, 31, 20, 3}
Which of the following stem-and-leaf plots correctly graphs the data set?2021 Riverside Red Dragon Football Season Points
0 0 3
1 1 7 7 7 7
2 0 0 0 2 4 8 8
3 1 3
Key 1|1 = 11
2021 Riverside Red Dragon Football Season Points
0 0 3
1 1 7
2 0 2 4 8
3 1 3
Key 1|1 = 11
Riverside Red Dragon Football Season Points
1 1 7
2 0 2 4 8
3 0 1 3
Key 1|1 = 11
2021 Riverside Red Dragon Football Season Points
1 1 7 7 7 7
2 0 0 0 2 4 8 8
3 0 1 3
Key 1|1 = 11
Answers
Answer:
first choice
Step-by-step explanation:
0 0 3
1 1 7 7 7 7
2 0 0 0 2 4 8 8
3 1 3
help thanks~~~~~~~~~~
Answers
Answer:
The answer is 40.
Step-by-step explanation:
First, 10+6=16. Then, 14+10=24. Last add them together which is 40.
Answer:
No need to say thank you
Step-by-step explanation:
Pls help me in math, I need this tomorrow, thx :)
Answers
Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
Two sets of data, set X and set Y are given
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
Therefore, both the data sets has same range and mean.
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.
To learn more about S.D and variance,
https://brainly.com/question/15858152
https://brainly.com/question/12402189
Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
We know
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
also
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.
Which property is shown below ?
5u x (8v x 7w) = (8v x 7w) 5u
Answers
Find the number. Solve this question please!!
A) 30 is 90% of what number?
Answers
Answer:
33.33
Step-by-step explanation:
We have, 90% × x = 30
or, 90 / 100 × x = 30
Multiplying both sides by 100 and dividing both sides by 90,
we have x = 30 × 100 / 90
x = 33.33
If you are using a calculator, simply enter 30×100÷90, which will give you the answer.
https://answers.everydaycalculation.com/percent-of-what-number/90-30
Answer:
The answer to 30 is 90% of what number is 33.33.
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
Find the surface area of each prism.
Answers
Answer:
105.84 cm²
129 ft²
Step-by-step explanation:
please mark me as brainliest
what value of x makes this equation true -(x+3)=2(x-3)
A. 0
B. 1
C. 2
D. 3
Answers
Answer:
To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:
Step 1: Distribute the negative sign on the left side of the equation:
-(x + 3) = 2(x - 3)
=> -x - 3 = 2(x - 3) (using the distributive property)
Step 2: Expand the right side of the equation:
-x - 3 = 2x - 6
Step 3: Add x to both sides of the equation to isolate the x term on one side:
-x + x - 3 = 2x + x - 6
=> -3 = 3x - 6
Step 4: Add 6 to both sides of the equation:
-3 + 6 = 3x - 6 + 6
=> 3 = 3x
Step 5: Divide both sides of the equation by 3 to solve for x:
3/3 = 3x/3
=> 1 = x
So, the correct value of x that makes the equation true is B. 1.
PLEASE MARK BRAILYISTT :D
Answer:
B, one
Step-by-step explanation:
In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.
Adam and three friends go on holiday together for a week.
The costs of the holiday will be shared equally between the 4 friends.
These are:
• £1460 for 4 return plane tickets
• £720 for the accommodation
• £180 for the car hire for a week
How much does Adam have to pay for his share of the costs?
Answers
Answer:
590
Step-by-step explanation:
1,460+720+180=2,360
2,360/4=590
HOPE THIS HELPS!!!! :)
If you add 1460,720,180, together and spilt it between the 4 friends each person has to pay 590.
In easier terms: 1460+720+180=2360/4
help please math sucks
Answers
Answer: 5.3
0
12
-14
Step-by-step explanation:
Ava is buying 30 baseball caps and pays a total of $240. Each cap costs the same amount. Determine whether the situation below represents a direct proportion, and justify your reasoning. If so, find the constant of proportionality.
Pls find the answer winter break is almost ending
Answers
90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you...
The answer is 8 so its a direct proportion
I think...
The constant of Proportionality is 8.
What is constant of Proportionality?If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.
Given:
Total Baseball Caps= 30
Total amount of Cap= $240
let the number of caps sold be c.
Then, the equation is
30 c= 240
and, c= 240/30
c= 8
Hence, the constant of Proportionality is 8.
Learn more about constant of Proportionality here:
https://brainly.com/question/29126727
#SPJ2
15 ÷ 1/9 =
Please help me with this, my brain is not working.
Answers
Answer:
135
Step-by-step explanation:
U 2 can help me by marking as brainliest.....
Next you have to flip the 1/9 to its reciprocal which is 9/1 AND change the division to multiplication.
So now you have 15/1 x 9/1. This equals 135/1
Please please please help, I give brainliest to first answer(not random nonsense)A pool is in the shape of a right rectangular prism and has a volume of 92 feet. The area of the base of the pool is 32 square feet.
create an expression to find the height, in feet, of the water in the pool
Answers
Answer:
92/32
Step-by-step explanation:
Since the formula for volume is length x width x height, and the formula for area is length x width, an expression you could use is 92/32. This divides the volume by the area, which may help find the height.
Not very confident about this answer, but I hope this helps?
PLS HELP ME
Which measurement of center best represents the set of data? calculate the measurement of center. goals scored during hockey season: 7, 6, 9, 3, 12, 7, 2, 10, 7, 8
in order: 2, 3, 6,7, 7, 7, 8, 9, 10, 12
Answers
helpme with this plsss
Answers
Answer:
7x + 96 = 180
Step-by-step explanation:
We are given that the right side of the equation should be 180 because that is equal to the sum of the triangle's interior angle measures.
We can solve for the left side by adding the triangle's interior angle measures.
(2x + 1) + (5x + 5) + 90
Remember that a right angle is 90°.
All we need to do from here is combine like terms:
= (2x + 5x) + (1 + 5 + 90)
= 7x + 96
So, the equation that represents the model is:
7x + 96 = 180
Answer:
C) 7x + 96° = 180
Step-by-step explanation:
their is one right angle and 2 equations. The sum of the interior angle is 180
90° + 2x + 1 + 5x + 5 = 180
Combine like terms
90 + 1 + 5 = 96
2x + 5x = 7x
7x + 96° = 180
9. Expand using identites.
1) (3/2 m - 5n) (3/2 m + 5n)
Answers
Answer:
(3/2 m)^2 -(5n)^2^
Step-by-step explanation:
Answer: 9m^2 / 4 - 25n^2
Step-by-step explanation:
Use the identity: (a-b)(a+b)=a^2 - b^2
substitute values of a and b, where a=3/2m and b=5n.
The following simplifies to (3/2m)^2 - (5n)^2.
A bakery sells gourmet cupcakes.
When someone orders x cupcakes,
the bakery uses the equation y = 2.75x to
calculate the cost of cupcakes, y, in dollars.
If Mary orders 5 cupcakes and pays $13.75.
What is the constant rate of change for this
situation?
A $5.00 per cupcake
B $2.75 per cupcake
C $0.25 per cupcake
D$13.75 per cupcake
Answers
Answer:
The answer is B
Step-by-step explanation:
13.75 ? $$$
-------- ---------
5 1 cupcakes
B) $2.75
I hope this helps.
:)
Let Me Know
Explanation- 13.75 divided by 5 is 2.75
A bicycle shop advertised all mountain bikes priced at 1/3 discount.
a. What is the amount of the discount if the bicycle originally costs $327 ?
b. What is the discount price of the bicycle? Explain how you came up with your answer.
Please explain
I will mark Brainly and this is worth 42 points
Answers
Answer:
a. 109$
b. 327/3= 109
you're welcome
Pls answer this for me
Answers
In total, there are 100 blocks. There are 4 boxes.
100/4 = 25 therefore B would work.
D would also work as 41-16=25 and 9+16 is also 25, meaning boxes C and D would be equal. Boxes A and B would also be equal as 32-7=25 and 18+7=25.
A would NOT work as 41-21 is equal to 20, meaning box C would be lacking 5 blocks. C would NOT work as whilst A and B would be equal, C and D would not be. E would also NOT work as nothing would be equal at all.
Contestants in a dance-a-thon rest for the same amount of time every hour. A couple rests for 24 minutes in 3 hours. How long did they rest in 5 hours?
Answers
Answer: 40 minutes
Step-by-step explanation: The first thing you want to do is divide 24 by 3 to find how much each dancer rested per hour. In other words, find the unit rate. 24 divided by 3 is 8. Next, take the 8 and multiply it by 5, since we are trying to find how much each dancer rested in 5 hours. 8 x 5 = 40. So each contestant rested for 40 minutes.
Pls help I need help thank u
Answers
Answer:
27
Step-by-step explanation:
I did it before
Pls help, screenshot!!
-Brainlist for the correct answer!-
Answers
Answer:
n+139=377
Step-by-step explanation:
the total amount of trees was 377 which means that it has to be the ending sum in the equation. the 2 quantities making up that sum were 139, and an unknown amount, n.
Use the image to determine the type of transformation shown.
Horizontal translation
Reflection across the y-axis
90° clockwise rotation
90° counterclockwise rotation
Answers
Answer:
A horizontal translation and a 90° counterclockwise rotation
HELP QUICKKKKKKKKKKKKKKKKKKKK
Answers
ion kno how to explain but yea
Answer:
148
Step-by-step explanation:
<BZD = 58 + 90 = 148
Can someone help on this^W^
Answers
Answer:
\(\huge\boxed{p=6}\)
Step-by-step explanation:
\(\dfrac{p}{2}+15=18\qquad|\text{subtract 15 from both sides}\\\\\dfrac{p}{2}+15-15=18-15\\\\\dfrac{p}{2}=3\qquad|\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup\cdot\dfrac{p}{2\!\!\!\!\diagup}=2\cdot3\\\\p=6\)
Answer:
6
Step-by-step explanation:
Ive done this problem ,6
Help and a chocolate cake will appear
Answers
Answer:
The answer is B, 7 3/8
Step-by-step explanation:
B - 7 3/8
Answer: B 7 and 3/8
Step-by-step explanation:
:)
Tell whether each relation is a function. Explain how you know.
3. {(1, 5), (3, 7), (6, 5), (9, 8}
4. {(1, 2, (1, 8), (3, 6), (4, 8)}
Answers
Answer: None of them are a function
Step-by-step explanation: they don't relate
4.) This is not a function because their are two 1’s in the x value