Answer:(x-3)² + (y-2)² = 25
Step-by-step explanation:
A circle's equation is (x-h)² + (y-k)² = r². When centered at the origin, h and k equal 0. If you shift the circle, say, one unit up, then k equals 1, and the equation is x² + (y-1)² = r².
So for your circle, the equation would be (x-3)² + (y-2)² = 5² or (x-3)² + (y-2)² = 25.
Answer:
(x - 3)² + (y - 2)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Here (h, k ) = (3, 2 ) and r = 5 , then
(x - 3)² + (y - 2)² = 5² , that is
(x - 3)² + (y - 2)² = 25 ← equation of circle
At Albemarle High School, 5/9 of the students are in band and 57% of the students are in chorus. Are more AHS students in band or chorus?
Let find percentage of 5/9
[tex]\\ \sf\longmapsto 5/9(100)[/tex]
[tex]\\ \sf\longmapsto 500/9[/tex]
[tex]\\ \sf\longmapsto 55.5\%[/tex]
More students are in chorus
Given
Percentage of students in Chorus.
Fraction of students in band
To find
Which has more students.
Let's start.
We need to find the Percentage of students in band.
[tex]\sf \longmapsto \: \dfrac{5}{9} \times 100[/tex]
[tex]\sf \longmapsto \: \dfrac{5}{9} \times \dfrac{100}{1} [/tex]
[tex]\sf \longmapsto \: \dfrac{5 \times 100}{9 \times 1} [/tex]
[tex]\sf \longmapsto \: \dfrac{500}{9} [/tex]
In Percentage:-
[tex]\sf \longmapsto \: \cancel \dfrac{500}{9} [/tex]
[tex]\sf \longmapsto \: 55.55\%[/tex]
[tex]\sf{55.55\% (Band)}<\sf{57\%(Chorus)}[/tex]
Chorus has more studentsGiven m \| nm∥n, find the value of x. m n t (4x+4)° (2x-16)° Answer:
Answer:
4x+4)° (2x-16)
Step-by-step explanation:
(4x+4)° (2x-16)°
Hello, is there anyone here a pharmacy technician?
3plss help...................................
Hi everyone, I'm having trouble with this question and I'm not sure how to do it/where to start. Does anyone have a solution to it? It will help me with my future problems on this topic!
This is quite an interesting problem. I am not sure how high you are in math, but I am going to use calculus I techniques to solve it. First, we need to model an equation. Let P be the total profit and x be every time you increase the cost by $10. If you think about it hard enough you come up with the equation
[tex]P(x)=(200-5x)(250+10x)[/tex]
(200-5x) is the amount of plots you will be able to sell, and (250+10x) is the amount you charge for. So, at x =0
[tex]P(0)=(200-5(0))(250+10(0))=(200)(250)=$50,000[/tex]
This is the initial condition where if we sell 200 plots at $250/plot.
So, this equation makes sense.
Now, let's maximize using the first derivative of the function.
Let's get it into an easily differentiable form.
[tex]P(x)=(200-5x)(250+10x)=-50x^2+2000x-1250x+50000\\=-50x^2+750x+50000[/tex]
From here, differentiate the problem.
[tex]P'(x)=-100x+750[/tex]
Now, set it equal to zero and solve for x.
[tex]P'(x)=-100x+750=0\\x=7.5[/tex]
This a critical point of the function. Let's plug back into the original equation to see what it gives us.
[tex]P(7.5)=(200-5(7.5))(250+10(7.5))=(162.5)(325)=52,812.50[/tex]
You cant sell half a plot, so we need to see what happens if we sell 162 plots and 163 plots, and then compare which one gives us more money.
In order to sell 162 plots
[tex]200-5x=162\\x=7.6[/tex]Plug back into P(x) to see the profit
[tex]P(7.6)=(200-5(7.6))(250+10(7.6))=(162)(326)=52,812[/tex]
Now, do the same for 163 plots
[tex]200-5x=163\\x=7.4\\P(7.4)=(200-5(7.4))(250+10(7.4))=(163)(324)=52,812[/tex]
As we can see, they are the same. So, you can charge either $324 or $326 in rent. But, if your teacher is not looking for a logical answer and you can somehow sell half a plot, you can charge $325 in rent for the maximum profit.
An animal park has lions,tiger an zebras.2/5 of the animals are lions and 3/10 of the animals are zebras. what percentage are tigers?
Answer:
3/10
Step-by-step explanation:
You have to make them the same fraction.
2/5 = 4/10
3/10 =3/10
3/10 + 4/10 = 7/10
10/10 - 10/10 =3/10
3/10 is the amount of tigers.
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=59(0.59)^x
what is the % increase
Answer:
Step-by-step explanation:
y=59(0.59)ˣ
As the number under the exponent is less than 1, this is a decay function.
Value of y will be decreased by (1.00 - 0.59)100 = 41% for each unit increase in x.
According to Josh's checkbook register, he had a transaction for less than -608 dollars on Monday. Which of the following best describes this transaction?
A.
Josh received less than 608 dollars on Monday.
B.
Josh received more than 608 dollars on Monday.
C.
Josh spent less than 608 dollars on Monday.
D.
Josh spent more than 608 dollars on Monday.
Answer:
A option A is the write answer
Consider the expression 8ab + 3b + 16 - 4a. (a) How many terms are there? (b) How many factors are in the first term? Identify them. (c) Which term is a constant? pls do this fast
a. There are 4 terms in the expression
b. There are 3 factors in the first term.
c. The constant is 16.
8ab + 3b + 16 - 4a
A term is any signed number, a variable, or a constant multiplied by a
variable or variables.
Therefore, the terms are 8ab, 3b, 16, and -4a. The terms are 4 in numbers.
The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.
The term that is a constant is 16
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Jaxon borrowed some money from his friend in order to help buy a new video game system. Jaxon agreed to pay the friend back some amount every week until his loan was paid off. Let L represent the amount Jaxon owes his friend after tt weeks. A graph of L is shown below. Write an equation for L then state the x-intercept of the graph and determine its interpretation in the context of the problem.
Answer:
L = -2t + 10, (5,0) the interpretation of the x-intercept in the context of the problem is the week that Jaxon owes no more money
Step-by-step explanation:
so we have L=mt+b with m being the slop and b being the y-intercept. the y-intercept is found by looking at what L is when t=0. when t=0, L=10 so b=10. now we have L=mt + 10. to find slop figure out rise/run. every 1 increase in t, L decreases 2 units. this is -2/1 or -2 so m=-2. so the graph is L = -2t + 10
the x- intercept is the t value when L=0, looking at the graph, when L=0, t=5, so the x-intercept is at (5,0)
Harley has 60 beads. There are 11 beads that are NOT round. The rest are round. How many round beads does Michelle have?
Help please
Answer:
49
Step-by-step explanation:
If there's 60 beads in total and 11 are round and the rest aren't all you have to do is subtract 11 from 60.
Like This: 60-11=49
To check your answer you can add them to see if you get 60. Like this: 11+49=60
sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday ?
Answer:
12x-15 dollars
Step-by-step explanation:
She worked for x hours, and earned $12 for every hour. This would be 12x. Then, she got charged $15 dollars, so -15. It would then be 12x-15 dollars.
What is the answer to 5a-1 when a=1/3
Answer:
.65
Step-by-step explanation:
Domain:
Range:
HELP I BEG
Which equation reprints a line passing through the point (8,16) with a slope of 3
If 10 milligrams are contained in 2 milliters. how many milligrams are contained in 28 milliliters?
Answer:
28,000 milligrams is your answer
Divide 2/3 by 1/5. Simplify your answer and write it as a mixed number.
Answer:
3.33
Step-by-step explanation:
3.33
mixed number= 3 1/3
Answer:
3 1/3
Step-by-step explanation:
[tex]\frac{\frac{2}{3}}{\frac{1}{5}}[/tex] =
[tex]\frac{2}{3} * \frac{5}{1} = \frac{10}{3}[/tex]
10/3 = 3 1/3
-Chetan K
simplify 4y(4y-4)-4(-4y+5+4y2)
how would is solve this?
Find the area of the shaded region. Round your answer to the nearest hundredth.
it will be 36
Step-by-step explanation:
fgdsb b zgffhxgv
can someone help with this problem
Check the picture below.
The world population of a certain species is evaluated at 6.8 × 109. By some projections, this population will be 8 times more important in 30 years. Express the population at that time in scientific notation.
Using the multiplication operation, the population of the species in 30 years would be 8 times the current population. Hence, the population at the time would be [tex] 5.44 \times 10^{10}[/tex]
Current population = [tex] 6.8 \times 10^{9}[/tex]Therefore, 8 times the current population can be calculated thus :
[tex] 6.8 \times 10^{9} \times (8) = 54.4 \times 10^{9}[/tex]
Therefore, the population at the time would be [tex] 5.44 \times 10^{10}[/tex]
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Elli left home8:30 and returned at 1:25how long was she away from home?
Answer:
3 hours and 45 minutes assuming its from am to pm
Step-by-step explanation:
Hope This Helps
i put in the question as png pls help
Answer:
Screen shot it then save as then save as a png then turn it in
Step-by-step explanation:
What is the slope of the line ?
Answer:
y = -3x + 4
Step-by-step explanation:
Use the slope intercept equation y = mx + b.
b is the y-intercept which is 4 in this equation.
The slope can be found from a graph using rise over run. This graph is decreasing so the slope is negative. Therefore, the slope is -3.
- A small waffle cone has a height of 6 inches and a diameter of 2.5 inches. Two scoops of
sorbet are placed on the wide end of the cone. The scoops are spheres with a diameter
of 2.5 inches. If all the sorbet melts into the cone, will the cone overflow?
Answer:
NO
Step-by-step explanation:
can someone help with this
Step-by-step explanation:
A. n is the number of persons excluding chaperones
B. The equation describes the situation where the total admission cost at orchard A is equal to that of B. (This happens at n=17 persons)
C. For which number of persons is orchard A cheaper than orchard B? (It will be for n is more than 17 persons, but there is no requirement to calculate this).
A large grouper can weight 1/4 ton. how much does a large grouper weight to the nearest pound. [ please help ]
Answer:
500 pounds
Step-by-step explanation:
Step-by-step explanation:
To do this divide 2000 by 4.This will give you around 500.
What is 78 1/3 as a decimal?
Pls help!
Answer:
78.333333333
Step-by-step explanation:
Round 61.373737842 to the nearest ten-millionth
Answer:
61.3737378
Step-by-step explanation:
First find the ten millionth digit, and the digit after it.
The digit "8", the seventh digit to the right of the decimal point is the ten millionth digit.
As the digit after "8" is 4, which is less than 5, so simply round the digit "4" down.
Thus the answer is 61.3737378
Evaluate the expression below if X equals three and Y equals negative 4X- Y -3+(-5y) A 16. B. -50. C. 24. D. 20
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