Answer:
[tex](x - 2)^{2} + (y - 3)^{2} = 36[/tex] is the equation of the circle
Step-by-step explanation:
[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex] where (h, k) is the center and r is the radius
In this case h = 2 and k = 3 and r = 6 (see below)
r adius =
[tex]\sqrt{(2 + 3)^{2} + (3 - 6)^{2} } \\= \sqrt{5^{2} + (-3)^{2} } \\= \sqrt{25 + 9\\}\\ = \sqrt{36} = 6[/tex]
Therefore, [tex](x - 2)^{2} + (y - 3)^{2} = 36[/tex] is the equation of the circle
The point (- 3, 6) is on a circle with a center at (2, 3) So, the equation of the circle will be (x-2)^{2} +(y-3)^{2}= 6^{2}.
What is the general equation of a circle?The general equation of a circle of radius represents all the points that lie on the circumference of the given circle.
The general equation of a circle is:
[tex]\rm (x-h)^{2} +(y-k)^{2}= r^{2}[/tex]
where (h, k) is the center and r is the radius
The point (- 3, 6) is on a circle with a center at (2, 3).
here, h = 2 and k = 3
[tex]\sqrt{(2+3)^{2} +(3-6)^{2}} \\\\\sqrt{5^2+3^2} \\\\\sqrt{36} \\\\6[/tex]
therefore, the radius is 6 units.
Now, the equation of a circle is:
[tex]\rm (x-h)^{2} +(y-k)^{2}= r^{2}[/tex]
[tex]\rm (x-2)^{2} +(y-3)^{2}= 6^{2}[/tex]
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You deposit $4000 in an account earning 4% interest compounded monthly. How much will you
have in the account in 15 years?
You deposit $4000 in an account earning 4% interest compounded monthly. After 15 years, you will have approximately $7224.44 in the account.
To calculate the future value of an account with compound interest, we can use the formula:
Future Value = Principal * (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods * Time)
In this case, the principal (initial deposit) is $4000, the interest rate is 4% (or 0.04 as a decimal), and the compounding is done monthly, so there are 12 compounding periods in a year.
Substituting these values into the formula, we have:
Future Value = $4000 * (1 + (0.04 / 12))^(12 * 15)
Calculating this expression gives us:
Future Value ≈ $4000 * (1.003333)^180
Future Value ≈ $4000 * 1.806111
Future Value ≈ $7224.44
After 15 years, you will have approximately $7224.44 in the account, considering the given interest rate and compounding frequency.
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what is the value of x
answer: since they are linear pair therefore
x+34+ 2x+2=180
3x+36=180
3x=144
x=48°
Step-by-step explanation:
second opinion: ex are useless forget them
Answer:
B) x=48
Step-by-step explanation:
Hope it helps
Your computer password contains six characters. Each character is either a number or a letter. How many different passwords are possible? If letters are case sensitive, how many passwords are possible?
Answer:
216
Step-by-step explanation:
There are 26 letters in the alphabet and 10 numbers on a keyboard, add them together 26 + 10 = 36, multiply that by 6 because 6 is the maximum amount of characters, 36 x 6 = 216
Center (-9,0) radius 1
Answer:
Step-by-step explanation:
im guessing you need the equation of the circle?
plugging it into the standard circle equaition you would get (x+9)^2+y^2=1 and then you would just need to rearaange it into standard form
How was y'all day :)?
can someone please help me coz i really need this :(
i need serious answer :(
Answer:
1. DB = 10 as diagonals of isosceles trapezoid are congruent
2. ∠DAB and ∠BCD are supplementary angles
m∠BCD = 180° - 120° = 60°3. ∠BCD is congruent with ∠ADC as trapezoid is isosceles
m∠BCD = m ∠ADC = 65°4. AB = 15, DC = 25,
EB = 1/2(AB + DC) as midlineEB = 1/2(15 + 25) = 205. m∠ADC = 2x - 10, m∠ABC = 3x + 40
These are supplementary, find x first:
2x - 10 + 3x + 40 = 1805x + 30 = 1805x = 150x = 30m∠BCD = m∠ADC = 2*30 - 10 = 50°Trechelle is buying a sports coat that has a regular price of $90. This coat is on sale with a 20% discount. She knows she needs to pay 8\%8% sales tax on the discounted price. Trechelle thinks to herself 20\%-8\%=12\%20%−8%=12%. She now believes this means she is really only getting a 12% discount, and 12% of $90 is $10.80. She works out the sports coat will cost her $79.20$. Is Trechelle’s reasoning correct or will the sports coat actually cost a different amount?
Answer:
Trechelle's reasoning is incorrect.
Step-by-step explanation:
the cost is $88.2. hope it helps bye.
How to solve (p^2)^5
Explanation: The power rule tells us that when we have a power taken to another power, we keep the base the same and we multiply the exponents.
So we have p¹⁰ which is our final answer.
7. A car drives 50 miles in the first hour on the road, 70 miles during the 2nd hour and 10 miles for 1/2 hour (traffic jam), then 60 miles in the final half hour of the trip. What was the average speed for the entire trip?
Answer:
Step-by-step explanation:
Average Speed = Total Distance / Total Time
Total Distance = 50+ 70 + 10 + 60 = 190 Miles
Total Time = 1 + 1 + 1/2 + 1/2 = 3 hours
Average speed = 190 / 3 = 63.3 mph
What is the probability of flipping a coin 3times and getting 3tailsin a row?
Answer:
1/8
Step-by-step explanation:
The probability of getting tails on a single flip is 1/2.
Each of the flips is an independent event so you must multiply the probability of getting tails on each flip together.
So, your answer will look like this
[tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] ; which equals;
1/8
Answer:
1/8
Step-by-step explanation:
To calculate the probability you have to name all possible results first. If you mark a result of a single coin flip as H for heads or T for tails all results of 3 flips can be written as:
Ω = { ( H , H , H ) , ( H , H , T ) , ( H , T , H) , ( H , T , T ) , ( T , H , H ) , ( T , H , T ) , ( T ,T , H ) , ( T , T , T ) }
Each triplet contains results on 1st, 2 nd and 3 rd coin. So you can see that in total there are 8 elementary events in Ω.
| Ω | = 8
Now we have to define event A of getting tails three times.
The only elementary event which satisfies this condition is ( T , T , T ) so we can write that:
A = { ( T, T , T ) }
| A | = 1
Now according to the (classic) definition of probability we can write, that:
P ( A ) = | A|/ | Ω | = 1 /8
So finally we can write the answer:
The Probability of getting 3 tails in 3 coin flips is 1 /8 .
A licorice rope is 7 inches long. If four 5th graders share the licorice equally amongst themselves, what length of licorice will each student get?
Answer:
1.4 Inches Each
Step-by-step explanation:
This problem is fairly simple. Just divide 7 by 5 and put the correct units(inches) with the answer.
length of licorice each student will get is 1.875 inches.
What is simplification?A mathematical expression gets simpler when it is transformed into an equivalent, frequently shorter statement. One strategy for promoting uniformity in job effort, cost, and time is procedure simplification. It lessens diversity and variation that is harmful, unwanted, or unneeded.
Given, A licorice rope is 7 inches long. If four 5th graders share the licorice equally amongst themselves.
Since every 5th grader is sharing the rope equally.
Thus everyone will get = 7/4
Every 5th grader will get = 1.875 inches
Therefore, every 5th grader will get 1.875 inches length of licorice.
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The area of a square garage door is 9 square yards. How long is each side of the garage door?
Answer: 2.25
2.25 x 4 = 9, and a square has 4 sides, so 2.25 is your answer ! : )
What is the average rate of change of h over the interval (2,6) ?
Give an exact number.
Answer:
3
Step-by-step explanation:
2,6>>>1,3
the answer is
0.5
3. -20 + -15 + 11 + -6 =
Answer:
-30
Step-by-step explanation:
How do you solve 9!/5! ?
Answer:
3024.
Step-by-step explanation:
9! / 5!
= 9*8*7*6*5*4*3*2*1
-------------------------
5*4*3*2*1
We can cancel out the 5*4*3*2*1 to give:
9*8*7*6
= 3024
Anybody know the answer
Answer:
ur steps would be 9*1*9 = 9^3
Step-by-step explanation:
Any number in the power of 0 = 1
Answer:
9^4
Step-by-step explanation:
Let's review the equation:
9 · 9^0 · 9^3
Anything to the power of 0 is equal to one, so 9^0 is one
That leaves us with 9 · 1 · 9^3
9 · 1 = 9
9^1 · 9^3 = 9^4
so..
9 · 9^3
Pls help help help help help help help
Answer:
y=-2x+5
Step-by-step explanation:
slope is going down 2 over 1
y-int is 5
Help plz!!
Ryan worked at a local ice cream shop during the summer. The money he earned for the first six weeks is given below.
$40, $80, $38, $40, $32, $65
Ryan then earned $24 in the seventh week. How were the mean and the median affected?
The mean decreased, and the median remained the same.
The median decreased, and the mean remained the same.
The median and the mean both remained the same.
The mean and the median both decreased.
Answer:
my answer isn't on the list, but doing the math the median increased from 39 to 40, but the mean decreased from 49.16 to 45.57
PLZ HELP!!! QUESTION IS BELOW! EXPLAIN YOUR ANSWER :D
Answer:
172.12 in²Step-by-step explanation:
Consider the figure as 3 parts: semicircle with radius of 4 in, rectangle with 7x9 in and rectangle 6x14 in.
Area of semicircle:
A = 1/2*πr² = 1/2*3..14*4² = 25.12 in²Area of rectangles:
7*9 = 63 in²6*14 = 84 in²Total area:
25.12 + 63 + 84 = 172.12 in²Find the probability of at least one
failure in five trials of a binomial
experiment in which the probability of
success is 30%.
Round to the nearest tenth of a
percent.
Out of 5 trials, "at least one failure" = " at most four successess", so the probability you're looking for is
[tex]P(X\le 4) = \displaystyle\sum_{x=0}^4 \binom5x 0.30^x (1-0.30)^{5-x} \approx 0.99757 \approx \boxed{99.8\%}[/tex]
HELP ASAP DONT ANSWER IF YOU DONT KNOW
Answer:
The answer is D
Step-by-step explanation:
If you look at image you can see that is is on both lines but you always start on the origin (the middle) and go left or right to get your first number. which is 6 next you'll start at the origin and go up and down, once you stop at where you're positive the dot is place the two numbers together and you got your answer (6,-4)
Can anyone please help?
Answer:
Step-by-step explanation:
1. 7x/3
2.7x/5
3. 2(1 + 3x)/5x
4. x-8??
5. 5x+9/27x
Not sure if i did this how you wanted it done but i just simplified if its wrong let me know i can try to fix it
2. The mean weight of the students on the
Trail Middle School wrestling team is 150
pounds with a mean absolute deviation of
10 pounds. The mean weight of the
students on the Burlington Middle School
wrestling team is 130 pounds with a mean
absolute deviation of 10 pounds. By how
many pounds is the mean weight of the
students on Trail's team greater than the
mean weight of the students on
Burlington's team?
Answer:
The mean of Trail Middle School wrestling team is greater by 20 pounds as compared to that of Burlington Middle School wrestling team
Step-by-step explanation:
Since the value of absolute deviation in case of Trail Middle School wrestling team and Burlington Middle School wrestling team is same. Hence, there will be no impact of it while determining the difference in mean deviation of both the team.
Thus, the difference in mean deviation is [tex]150-130 = 20[/tex]
The mean of Trail Middle School wrestling team is greater by 20 pounds as compared to that of Burlington Middle School wrestling team
HELP HELP HELP HELP HELP ITS URGENT :((((
Answer: well if you listened on school you wouldn't need help sooo
Step-by-step explanation: LISTEN IN SCHOOL
what is the Surface area
Answer:
104
Step-by-step explanation:
Michael purchased a chocolate swirl yogurt in a waffle cone. The yogurt cost $1.25 and the waffle cone was 50¢. He gave the clerk 8 quarters. How much did she give back to Michael?
Answer:
Michael should get $0.25 from the clerk.
Step-by-step explanation:
Add $1.25+$0.50 together which equals $1.75 and multiply $0.25x8 which equals $2.00 and subtract $1.75 from $2.00 and that equals $0.25.
Answer:
.25 = 1 quarter
Step-by-step explanation:
8 x .25 = $2.00
1.25 + .50 = $1.75
2.00 - 1.75 = .25
NO LINKS OR I WILL REPORT!!! But pls help meee pls I’ve posted this so many times just help me out pls Calculate the scale factor of ABC to DEF. Enter answer as a whole number
or as a fraction in lowest terms, using the slash mark (/) for the fraction bar.
Answer:
The scale factor is 8.
Segment AC is congruent to segment FD, and the other 2 sides are congruent because this is an isosceles triangle.
Triangle ABC can transform to Triangle DEF after a scale factor (multiplying each side by the same value) of 8.
Hope this helps!
Solve the equation
90= -20x
Plz help
Answer:
-9/2
Step-by-step explanation:
Answer:
x = -4.5
Step-by-step explanation:
90 = -20x
-90 = 20x
-90/20 = x
x = -4.5
Leave a like and mark brainliest if this helped
Please someone smart help please
Answer:
10
Step-by-step explanation:
Cindy bakes 7 cookies, which is 20% of the total amount of cookies. How many total cookies are there in all?
Answer:
35
Step-by-step explanation: