The equation of a circle is . Find the center and the radius of the circle. Then graph the circle.
Answer:
\(x^2+y^2=10-6y+25=0\)
\(x^2-10x+y^2-6y=-25\)
\(now ~add ~25+9 ~ on ~both~ sides\)
\((x^2-10x+25)+(y^2-6y+9)=-25+25+9\)
\(=(x-5)^2+(y-3)^2=9\)
\((x-5)^2+(y-3)=(3)^2\)
-----------------------
\(So, the~ center ~is~(5,3)\)
\(The\ radius\ is \ 3\ units\)
\((D)\ is \ your\ answer\)
-----------------------hope it helps..have a great day!!∠A and ∠B are complementary angles. The measure of ∠A=4x° and the measure of ∠B=50°. Find m∠A. * i dont understand can someone help?
Answer:
m>a is 40
Step-by-step explanation:
4x + 50 = 90
4x = 40
x = 10
10*4 = 40
M>A = 40
Algebraically solve for the exact value of all angles in the interval [O,4) that satisfy the equation tan^2(data)-1=0 cos(data)sin(data)=1
The exact values of all angles in the interval [0, 360°) that satisfy the given equations are:
data = 45°, 135°, 315°.
To solve the given trigonometric equations, we will consider each equation separately.
tan²(data) - 1 = 0:
First, let's rewrite tan²(data) as (sin(data)/cos(data))²:
(sin(data)/cos(data))² - 1 = 0
Now, we can factor the equation:
(sin²(data) - cos²(data)) / cos²(data) = 0
Using the Pythagorean identity sin²(data) + cos²(data) = 1, we can substitute sin²(data) with 1 - cos²(data):
((1 - cos²(data)) - cos²(data)) / cos²(data) = 0
Simplifying further:
1 - 2cos²(data) = 0
Rearranging the equation:
2cos²(data) - 1 = 0
Now, we solve for cos(data):
cos²(data) = 1/2
cos(data) = ± √(1/2)
cos(data) = ± 1/√2
cos(data) = ± 1/√2 * √2/√2
cos(data) = ± √2/2
From the unit circle, we know that cos(data) = √2/2 corresponds to angles 45° and 315° in the interval [0, 360°). Therefore, the solutions for data are:
data = 45° and data = 315°.
cos(data)sin(data) = 1:
Since cos(data) ≠ 0 (otherwise the equation wouldn't hold), we can divide both sides by cos(data):
sin(data) = 1/cos(data)
sin(data) = 1/√2
From the unit circle, we know that sin(data) = 1/√2 corresponds to angles 45° and 135° in the interval [0, 360°). Therefore, the solutions for data are:
data = 45° and data = 135°.
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Jessica and Mofor are selling pies for a school fundraiser. Customers can buy apple pies and
lemon meringue pies. Jessica sold 7 apple pies and 6 lemon meringue pies for a total of $169.
Mofor sold 3 apple pies and 6 lemon meringue pies for a total of $141. Find the cost each of one
apple pie and one lemon meringue pie.
Answer
L=20 A=7
Step-by-step explanation:
Using no digits other than 5 and 8, make a 6-digit number, that has the properties below. If it is impossible, write so. Of course you may use each digit more than once. c A multiple of 5, but not a multiple of 15.
Answer:
Doing this would be impossible
Step-by-step explanation:
Doing this would be impossible. This is because the final digit and the first digit in the 6-digit number would always be a 5 or an 8. This means that the entire 6-digit number will either be completely divisible by both 5 and 15 or neither. Therefore not meeting the requirements that have been set. So in conclusion, this would be impossible to do by using only 5's and 8's as the single digits.
how do i do this question
Answer: Okay this is the formula for slope: y=mx+b 2 would be the slope and -1 would be the y intercept so select b.
Step-by-step explanation:
Help me on this and get lots of points
At the end of each year, Richard receives a
15% salary increase.
After two years, Richard's salary is £34,385.
What was his starting salary?
Give your answer in pounds (£).
Starting salary
Salary after one year
Salary after two years
4
£
£ 34,385
)+15%
+15%
let's approach this, this way
we have a principal amount P, with a annual rate of 15%, that after 2 years it became £34,385, what's P?
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \pounds 34385\\ P=\textit{original amount deposited}\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}\)
\(34385 = P\left(1+\frac{0.15}{1}\right)^{1\cdot 2} \implies 34385=P(1.15)^2 \\\\\\ \cfrac{34385}{(1.15)^2}=P\implies 26000=P\)
after two years? well, we already know, is above, after one year? well is just 26000 + 15% of itself, so
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 26000}}{\left( \cfrac{15}{100} \right)26000}\implies 3900~\hfill \underset{ \textit{after one year} }{\stackrel{ 26000~~ + ~~3900 }{29900}}\)
Which equation is the inverse of y=x^2 + 4?
Answer:
y = √(x - 4)
Step-by-step explanation:
To find the inverse, simply swap x and y in your equation, then solve for in terms of y. Keep in mind that this isn't the true inverse of y = x² + 4 because y = √(x - 4) has a restricted domain.
Answer:
B. y = √(x - 4)
Step-by-step explanation:
Edge 2020 2021
amy sells beaded necklaces. each large necklace sells for $4.10 and each small necklace sells for $3.80. how much will she earn from selling 7 large necklaces and 1 small necklace?
Amy will earn $28.70 + $3.80 = $32.50.
Profit and loss:
A profit and loss (P&L) statement refers to a financial statement that summarizes the revenues, costs, and expenses incurred during a specified period, usually a quarter or fiscal year. These records provide information about a company’s ability or inability to generate profit by increasing revenue, reducing costs, or both. P&L statements are often presented on a cash or accrual basis. Company managers and investors use P&L statements to analyze the financial health of a company.
Amy will earn $28.70 from selling 7 large necklaces (7 x $4.10 = $28.70) and $3.80 from selling 1 small necklace, so in total, she will earn $28.70 + $3.80 = $32.50.
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The circle passes through the point (-1.5, 2.5). What is its radius?
Choose 1 answer
2.5
V1.5
1.5
/2.5
Shanice goes on vacation. She has $1,750 saved in her checking account for vacation. Each day, she withdraws $125
to pay for meals and entertainment expenses.
Brianna has $550 in her savings account when Shanice goes on vacation. Then, Brianna deposits $75 from her
waitressing job each day into her savings account.
On which day will the amount in Brianna's savings account be equal to the amount in Shanice's checking account?
The amount in Brianna's savings account will be equal to the amount in Shanice's checking account on day 6.
CalculusGiven that Shanice goes on vacation, and she has $1,750 saved in her checking account for vacation, and each day, she withdraws $125 to pay for meals and entertainment expenses, while Brianna has $550 in her savings account when Shanice goes on vacation, and she deposits $75 from her waitressing job each day into her savings account, to determine on which day will the amount in Brianna's savings account be equal to the amount in Shanice's checking account the following calculation must be made:
1750 - (125 x 5) = X1750 - 625 = X1125=X550 + (75 x 5) = X550 + 375 = X925 = X1750 - 750 = 1000550 + 450 = 1000Therefore, the amount in Brianna's savings account will be equal to the amount in Shanice's checking account on day 6.
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1 If one leg of a right triangle is 3 meters, and the hypotenuse is 5 meters, what is the length of the
missing leg?
i'm gonna assume that "leg" refers to length of the triangle, so comment if you think it is wrong.
Now when it comes to a right-angled triangle, the pythagoras theorem formula can be used.
Using algebra,
let the missing length be X.
By pythagoras theorem,
5² = 3² + X²
5² - 3² = X²
X² = 5² - 3²
X = sq root ( 5² - 3² )
= 4 m
Therefore, the length of the missing leg is 4m .
How many real solutions does this system of equations have? x2+y2=363x−y+1=0 A. 0 B. 3 C. 2 D. 1
Answer:
Correct option: C -> 2
Step-by-step explanation:
The first equation is:
\(x^2+y^2=363\)
And the second equation is:
\(x-y+1=0\)
From the second equation, we have:
\(y = x + 1\)
Using this value of y in the first equation, we have:
\(x^2 + (x+1)^2 = 363\)
\(x^2 + x^2 + 2x + 1 = 363\)
\(2x^2 + 2x= 362\)
\(x^2 + x - 181 = 0\)
Calculating the discriminant Delta, we have:
\(\Delta = b^2 - 4ac = 1 + 4*181 = 725\)
We have \(\Delta > 0\), so we have two real values for x, therefore we have two solutions for this system.
Correct option: C.
(If the system of equation is actually:
\(x^2+y^2=36\)
\(3x-y+1=0\)
We would have:
\(y = 3x + 1\)
\(x^2+(3x+1)^2=36\)
\(x^2+9x^2+6x+1=36\)
\(10x^2+6x-35=0\)
\(\Delta = 36 + 1400 = 1436\)
We also have \(\Delta > 0\), so we have two solutions for this system.
Correct option: C.)
Answer:
A. 0
second part: C. The boats' paths do not cross each other
Which of the following cannot be true about a linear pair of angles?
A linear pair of angles cannot add up to anything other than 180 degrees.
They cannot be complementary because complementary means add up to 90 degrees.
What is the formula for coordinate plane?.
The coordinate plane's formula is (x, y), where x denotes the x-axis and y denotes the y-axis.
A linear equation is a two-variable equation with a line as the graph.
A collection of points in the coordinate plane that are all solutions to the equation make up the graph of the linear equation.
If every variable has a real value, the equation can be graphed by placing enough points on the graph to identify a pattern, then connecting those points to include all of the points.
A linear equation must have at least two points in order to be graphed, however it's usually a good idea to utilize more.
Try to include zero as well as both positive and negative numbers when selecting your points.
The term "x-intercept" refers to the point where the graph crosses the x-axis, and the term "y-intercept" refers to the point where the graph crosses the y-axis.
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write an equation of a line that passes through (-4,2) and is parallel to the line y=1/4x+1
Step-by-step explanation:
answer is explained above
PLZ answer fast Part 1: Celebration!
You and three friends will be going out to eat at your favorite restaurant!
Each of you will order three items of your choice. You will also need to leave a tip. If you split the bill evenly among all four of you, how much will each person need to contribute?
Locate a menu for your favorite restaurant and pick three items for yourself and each friend. Make sure all or some of the items differ for each person.
List the restaurant name, items, and prices in a table like the one below.
In the column labeled Subtotal, determine the cost of each person’s order.
The customary tip is 20% of the total bill. In the column labeled Tip, calculate the amount of tip each person should leave.
In the column labeled Total Bill, determine the total of each person’s order, including the tip.
Restaurant name:
Names Item 1 Price Item 2 Price Item 3 Price Subtotal Tip Total Bill
Your name
Friend #1
Friend #2
Friend #3
Part 2: Questions
Answer the following questions, showing all work:
What is the total cost of the entire bill (all four meals), including tip?
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences.
Answer:
Ok for the 1st and 2nd paragraph, each person will need to pay 20 dollars each. For the 3rd paragraph, you could say your favorite restaurant is McDonalds. For you, you could have a strawberry milkshake, medium fries, and a Big Mac. For your second friend, they could have a coca cola, a salad, and large fries. For your third friend, they could have a lemonade, lettuce hamburger, and chocolate ice cream. For your fourth friend, they could have a Oreo Mc flurry, chicken nuggets, and small fries.
Restaurant name: McDonalds
Price: 59.99/60.00
Cost of each persons order: you pick
Each person should leave 5 dollars as a tip.
The total including tip: 79.99/80.00
Each person will pay 15.00
I dont know the last one sorry
5% of 650 is 32.5 but SHOW YOUR WORK on how you get the answer I will mark brainliest...
simplifique essa expressão:
5x+6y+x+2:
Answer:
6x+6y+2
Step-by-step explanation:
Trust me, I'm in Algebra 2 Honors. This is nothing for me.
Answer:
\(6x + 6y + 2\)
Step-by-step explanation:
\(5x + 6y + x + 2\)
➡️ \(5x + x = 5x + 1x\)
➡️ \((5 + 1)x = 6x\)
➡️ \( = 6x + 6y + 2\) ✅
please help me find answer for this question
Answer:
The answer with 4 cubes 2x2
Step-by-step explanation:
D it has 5 cubs in all,if you see A,B,C,they do not have cuds
A dog kennel charges a daily boarding rate as shown on the graph. use the information to mark 5-8 as true or false. if false, rewrite the statement correctly. 1. The dog kennel charges $60 per day. 2. The equation y = 30x can represent the graph. 3.Third is It costs $200 to board a dog for 7 days 4. The graph will contain the coordinate (9,270) Please give me all answers to all questions or i will go into trouble
The relationship between the cost charged for the daily boarding of dogs
by the kennel is a directly proportional relationship.
The correct responses are;
1. The dog kennel charges $60 per day is; False
Correct statement; The dog kennel charges $30 per day
2. The equation y = 30·x can represent the graph; True
3. It costs $200 to board a dog for 7 days is; False
Correct statement; It costs $210 to board a dog for 7 days
4.The graph will contain the coordinate point (9, 270); True
Reasons:
Points on the graph of the given graph of the Cost to Number of days are;
(2, 60), (4, 120)
The slope of the graph is \(m = \dfrac{120 - 60}{4 - 2} = 30\)
Equation of the graph is therefore; y - 60 = 30·(x - 2)
Which gives;
y = 30·x - 2×30 + 60 = 30·x
The equation of the graph is; y = 30·x
Therefore, the statement;
2. The equation y = 30·x can represent the graph is; TrueThe cost of the dog kennel a day is given by the value of 'y', when x = 1, as
follows;
Cost per day, y = 30 × 1 = 30
The cost per day = $30 per day
Therefore;
1. The dog kennel charges $60 per day is; FalseThe correct statement is; The dog kennel charges $30 per day
3. The statement; It costs $200 to board a dog for 7 days is; FalseThe amount it costs to board a dog for 7 days is y = $30×7 = $210
Therefore, the correct statement is; It costs $210 to board a dog for 7 days
4. When x = 9, we have; y = 30 × 9 = 270Therefore, the statement; the graph will contain the coordinate point (9, 270) is; True
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A charter bus service charges a flat fee of $150, plus $3.50 per mile (one way distance) for a bus. If the band paid exactly $2050 for TWO buses, how far did the band travel?
Answer:
Number of miles= 250
Step-by-step explanation:
Giving the following information:
Fixed cost= $150
Unitary cost per mile= $3.5
Total cost= $2,050
First, we will establish the total cost formula for ONE bus:
Total cost= 150 + 3.5x
x= number of miles
For two buses:
Total cost= 150*2 + (3.5*2)x
Total cost= 300 + 7x
Replacing the total cost information:
2,050= 300 + 7x
1,750/7 = x
250 =
Number of miles= 250
If people did nothing to try to control the rabbit population, what do you predict would happen to their population size in 100 years?.
If no efforts are made to control the rabbit population, their population size is likely to grow exponentially over time. Rabbits are known for their high reproductive rates and ability to adapt to various environments,
which can lead to rapid population growth if left unchecked.
In the absence of natural predators or human intervention, rabbits can reproduce at a fast rate, with each pair of rabbits potentially producing multiple litters each year. As the population size increases, so does the number of potential breeding pairs, resulting in an accelerating growth rate.
However, there are limiting factors that can eventually slow down the population growth. These include resource availability (such as food, water, and habitat), competition for resources within the population, and the impacts of diseases, parasites, and other factors that can affect rabbit health and survival.
Considering these factors, it is difficult to predict the exact population size of rabbits in 100 years without specific information about the environmental Interval conditions and any potential changes that may occur.
However, it is reasonable to expect that if the rabbit population is left uncontrolled, it will likely experience significant growth over time, potentially leading to ecological imbalances and negative impacts on the environment.
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Find the area of this figure. Use 3.14 to approximate pi. To solve for the area, split the figure into simple figures as shown below. Solve for the area of each and combine.
Answer:
Step-by-step explanation:
A(triangle) = 6 x 6 : 2 = 18
A(rectangle) = 6 x 9 = 54
Radius of circle = 6 : 2 = 3
A(semi-circle) = 3 x 3 x pi : 2 = 14.13
A(figure) = 18 + 54 + 14.13 = 86.13
The total area of the geometry will be 86.13 square units.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The geometry is the sum of a triangle, a rectangle, and a semicircle.
Then the area of the geometry is the sum of the area of the triangle, the area of the rectangle, and the area of the semicircle.
A = Area of triangle + Area of rectangle + Area of a semicircle
A = (1/2) × 6 × 6 + 6 × 9 + π × 6² / 8
A = 18 + 54 + 14.13
A = 86.13
The total area of the geometry will be 86.13 square units.
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the principal of a school is deciding whether to spend a budget surplus on new gym equipment or computers. the incomplete table above summarizes the preferences among junior and senior class students. if a senior from the school is chosen at random, the probability that the student prefers gym equipment is . how many seniors are at the school?
The number of seniors that are in the school is 240.
How many seniors are at the school?The first step is to determine the number of seniors that prefer gym equipment.
Let:
number of students that prefer gym equipment = x
total number of seniors = number of students that prefer gym equipment + number of seniors that prefer computer
= 160 + x
probability that a senior prefers gym equipment = 1/3
[x / (160 + x)] = 1/3
In order to determine the value of x, take the following steps:
Multiply both sides of the equation by 3.
3x = 160 + x
Combine and add similar terms:
3x - x = 160
2x = 160
x = 160 / 2
x = 80
Total number of seniors = 160 + 80 = 240
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approximately what percentage of u.s. adults is overweight? select one: a. 24 percent b. 44 percent c. 64 percent d. 84 percent
According to the Centers for Disease Control and Prevention (CDC), about 73.6 percent of adults in the United States are overweight or obese. So, the correct answer is D).
This means that a majority of adults in the U.S. have a body mass index (BMI) above the healthy range, which is defined as a BMI of 18.5-24.9, which puts them at increased risk for a range of health issues, including heart disease, diabetes, and some types of cancer.
The prevalence of overweight and obesity has been increasing in the United States in recent decades, and it is a significant public health concern. Obesity is a complex issue with many causes, including genetics, environment, and lifestyle factors such as diet and physical activity levels. So, the correct answer is D).
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--The given question is incomplete, the complete question is given
" According to the Centers for Disease Control and Prevention (CDC), approximately what percentage of u.s. adults is overweight? select one: a. 24 percent b. 44 percent c. 64 percent d. 73.6 percent "--
when checking for proper blood pressure cuff size, which guideline is correct? a. the width of the rubber bladder should equal 80% of the arm circumference. b. the standard cuff size is appropriate for all sizes c. the width of the rubber bladder should equal 40% of the arm circumference.
C) The width of the rubber bladder should equal to 40 percent of the arm circumference.
so option C is correct answer of this question.
According to American Heart Association Recommendations (AHA) for Physical Activity in Adults and Kids.
The ideal length and width of a bladder are given below:-
1.The length of the ideal bladder is greater than or equal to 80 percent of the circumference of the arm of the patient .
2.The width of the ideal bladder is greater than or equal to 40 percent of the circumference of the arm of the patient .
Here we are assuming arm as a cylinder having some radius r . so the arm must have some circumference .
so in the given conditon constraint on width satisfies the given conditon which is the case of 40% of the arm circumference.
and hence according to AHA guidelines only option C is correct.
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Consider the quadric surface given by ( 3
x
) 2
−y+( 2
z
) 2
=0. (a) State the type of quadric surface defined by the above equation. (b) Sketch the trace obtained by intersecting the surface with the xy-plane. You do not need to sketch the surface. Just sketch the trace in the xy-plane. Describe the trace. (c) Describe the trace obtained by intersecting the surface with the plane y=1. You do not need to sketch the trace.
The major axis lies along the z-axis, while the minor axis lies along the x-axis.
Given quadric surface is ( 3x)² − y + (2z)² = 0.
The equation of a quadric surface can be given by Ax² + By² + Cz² + Dxy + Exz + Fyz + Gx + Hy + Iz + J = 0, where A, B, C, D, E, F, G, H, I, J ∈ ℝ and (x, y, z) ∈ ℝ³.
(a) Type of quadric surface defined by the above equation is an elliptic paraboloid.
(b) The trace obtained by intersecting the surface with the xy-plane can be obtained by replacing z with 0. So, the equation is 9x² - y = 0, which can be written as y = 9x².
The trace is a parabola which opens upwards and intersects the y-axis at the origin.
(c) The trace obtained by intersecting the surface with the plane y = 1 can be obtained by replacing y with 1.
So, the equation is 9x² + 4z² = 1.The trace is an ellipse in the xz-plane, centered at the origin.
The major axis lies along the z-axis, while the minor axis lies along the x-axis.
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Write each fraction as a mixed number.
3 4/9
43/9
32/5
The value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.
What is a mixed fraction?A mixed fraction is a fraction that is created by fusing a fraction with a whole number. The fraction is defined as the division of the whole part into an equal number of parts.
The given fractions 34/9, 43/9, and 32/5 can be written in the form of the mixed fraction as below:-
To write the fractions in the form of the mixed fraction first divide the fraction by the complete number and put the remainder on the numerator.
34/9 = 3(⁷/₉)
43/9 = 4(⁷/₉)
32/5 = 6(²/₅)
Therefore, the value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.
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