Examine the diagram to answer the question.
A circle with its center at (negative 0, 0) and passing through point (negative 3, negative 4).
What is the equation of the circle?
x2+y2=5
x2+y2=5–√
x2+y2=25
x2+y2=10
Answers
Answer:
x^2 + y^2 = 25 (third one)
Step-by-step explanation:
formula is x^2 + y^2 = r^2 (r = the radius)
the radius is 5 so r^2 is 25.
The equation of the circle is x² + y² = 5², is x²+ y² = 25.
To determine the equation of the circle with its center at (-0, 0) and passing through the point (-3, -4), use the standard equation of a circle:
(x - h)² + (y - k)² = r²
Where (h, k) represents the center coordinates of the circle and r represents the radius.
In this case, the center of the circle is (-0, 0), so the equation becomes:
(x - 0)² + (y - 0)² = r²
Simplifying:
x² + y² = r²
to find the radius (r). Since the circle passes through the point (-3, -4), we can use the distance formula to find the radius:
r = √((x2 - x1)²+ (y2 - y1)²)
r = √((-3 - 0)² + (-4 - 0)²)
r = √(9 + 16)
r = √25
r = 5
To know more about equation here
https://brainly.com/question/10724260
#SPJ2
Related Questions
In a certain normal distribution of scores, the mean is 40 and the standard deviation is 3. Find the s-score corresponding to a score
of 54.
a. 4.67
c. 4.67
b. 18.0
d. 13.33
Please select the best answer from the choices provided
Answers
Answer:
choice a.) 4.67
Step-by-step explanation:
Using the Z-score table.
We have:
mean u = 40
standard deviation s = 3
for X = 54
Z-score = Z = (X - u)/s = (54 - 40)/3 = 14/3 = 4.6667
P(Z > 4.6667) = 0.000003 very close to 0
The following frequency table shows the number of parking spots at each of the houses on Lombardi
Avenue.
Find the mean number of parking spots.
parking spots
Answers
Answer:
2
Step-by-step explanation:
The mean is the average of the numbers. You find the mean by adding all of the number values then dividing by the amount of numbers.
0+1+2+3+4=10
There are 5 numbers so we divide by 5
10/5=2
The mean of the parking spots is 2.
Write an equation of the line that passes through (3,1) and (0,10).
Answers
Answer:
y=-3x+10
Step-by-step explanation:
Using the equation for the line of best fit what is a good approximation for the value of the function
Answers
Answer:
well... show the function lol silly
Step-by-step explanation:
Evelyn wants to enlarge a photo that measures 3 inches by 5 inches. A photo measures 3 inches by 5 inches. A larger photo measures x inches by 15 inches. What is the missing measurement, in inches, that Evelyn needs?
Answers
Answer: 9 inches by 15 inches
Step-by-step explanation:
5x3=15, and what you do on one side needs to be done to the other, so you do 3x3, which is 9.
Answer:
9
Step-by-step explanation:
Lisa surveyed 50 randomly selected students to find out if they thought their school should start a recycling program of the 50 students
surveyed, 42 answered "yes."
If all 375 students in the school were asked the same question, approximately how many students are likely to answer "yes"?
A. 158
B. 283
C. 315
D. 333
E. 367
Answers
315 students would answer "yes". If 42 out of 50 students answered yes, that'd be 84% (you can determine this by dividing 42/50). Once you've determined that part, you can multiply 375 by 0.84 (converting a percentage to a decimal), which would give you 315.
Please mark brainliest if this helped in any way, thank you! Have a great day! :)
Out of 50 surveyed students, 84% answered 'yes' to the question about starting a recycling program. Applying this percentage to the whole school of 375 students, we estimate that about 315 would say 'yes'. So, the correct choice is C. 315.
Explanation:To answer this question, we first need to find out what fraction of students surveyed answered 'yes'. In this case, it's 42 out of 50 students, or 84%. If we apply this percentage to the entire school population, we can estimate how many of the 375 students would likely answer 'yes'.
To do this, you multiply the total number of students (375) by the percentage that answered 'yes' (.84 or 84%) which would give us 315.
So, out of 375 students, we can estimate that approximately 315 would answer 'yes' to the question about starting a recycling program. Hence, the correct answer is C. 315.
Learn more about Percentage Estimation here:https://brainly.com/question/33446779
#SPJ3
The graph of r = 1/ 1-5 sin theta is symmetric about the
Answers
Answer:
A. y-axis only
Step-by-step explanation:
We have the graph of as given below.
It can be seen that passes through the points (0,0), (4,0) and (6,0).
Also, the graph is plotted in the 1st and 2nd quadrant symmetrically along the y-axis.
Hence, the axis of symmetry of is the y-axis only.
The graph of r = 1/ (1 - 5sinθ) is symmetric about the y-axis only.
How to write polar coordinates?It expresses x and y in terms of r and θ:
x = r cos(θ) , y = r sin(θ)
In polar coordinates, the x-axis corresponds to θ = π/2 and the y-axis corresponds to θ = 0 (or θ = π). So to test for symmetry, we need to check whether replacing θ with π - θ (which reflects the graph across the y-axis) or replacing r with -r (which reflects the graph across the origin) gives us the same equation.
If we replace θ with π - θ, we get:
r = 1 / (1 - 5sin(π - θ)) = 1 / (1 + 5sinθ)
This equation is not the same as the original equation, so there is no symmetry about the y-axis.
If we replace r with -r, we get:
-r = 1 / (1 - 5sinθ)
Multiplying both sides by -1, we get:
r = -1 / (1 - 5sinθ)
This equation is also not the same as the original equation, so there is no symmetry about the origin.
However, if we replace θ with π/2 - θ, we get:
r = 1 / (1 - 5sin(π/2 - θ)) = 1 / (1 + 5cosθ)
This equation is the same as the original equation, so the graph is symmetric about the y-axis.
Therefore, the graph of r = 1/ (1 - 5sinθ) is symmetric about the y-axis only.
Learn more about the symmetric here:
https://brainly.com/question/12002893
#SPJ3
The complete question would be as:
The graph of r = 1/ (1 - 5sinθ) is symmetric about the __________.
A. y-axis only
B. x-axis only
C.Origin only
D.No symmetry
The current dimensions of Mr. Meyer's garden
are shown in the model.
Mr. Meyer plans to increase the width of his
garden by 25%. Which equation can be used to
determine how many feet Mr. Meyer will add to
the width of his garden?
Answers
Answer:
I believe it would be J
Step-by-step explanation:
A flexible wire is bent into a semicircular arc. The length of AB is 18 meters. Find the length of the wire. Use 3.14 as an approximation for π .
Answers
Answer: 28.26 meters
Step-by-step explanation:
Hi, to answer this question we have to find the perimeter of the semicircle.
P = (2 π r ) /2 (perimeter of a circle divided by 2)
The length of AB is the diameter of the circle (18 meters)
Since
Diameter (d) = 2 radius (r)
Replacing with the value given:
18 =2r
18/2=r
9 =r
Back on the perimeter formula
P = (2 π r ) /2
Replacing with the values given
P = (2 x 3.14 x 9) /2
P = 28.26 meters
Answer:
he's right it is 28.26
Step-by-step explanation:
What is the volume of the rectangular prism? A prism has a length of 5 centimeters, height of 8 and one-half centimeters, and width of 3 and three-fourths centimeters. 17 and one-fourth cm3 18 and three-fourths cm3 27 and one-fourth cm3 159 and StartFraction 3 Over 8 EndFraction cm3
Answers
Answer:
Option D: 159 3/8 cm^3
Step-by-step explanation:
1. Let us rewrite the dimensions, and the options to make this a little more clear ~ (dimensions) 5 cm, 8 1/2 cm, 3 3/4 cm ⇒ (options) 17 1/4 cm^3, 18 3/4 cm^3, 27 1/4 cm^3, and 159 3/8 cm^3
2. To find the volume of most 3-dimensional figures, you would have to multiply the Base * height, so for a rectagular prism ⇒ Base * height = length * width * height
3. Substitute and compute the volume through algebra:
5 cm * 8 1/2 cm * 3 3/4 cm =
5 cm * 17/2 cm * 15/4 cm =
85/2 cm^2 * 15/4 cm =
1275/8 cm^3 =
159 3/8 cm^3
4. This means that the Volume of the Rectangular Prism = 159 3/8 cm^3 (Option D)
The volume of the rectangular prism is 159/8 cm³.
What is volume?The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
To find the volume of a rectangular prism, we multiply the length, width, and height.
The length of the prism is 5 cm, the height is 8 and one-half cm (or 17/2 cm), and the width is 3 and three-fourths cm (or 15/4 cm).
So, the volume is:
V = l × w × h
V = 5 cm × 15/4 cm × 17/2 cm
V = 159/8 cm³
Therefore, the volume of the rectangular prism is 159/8 cm³.
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ2
What is the domain of the function on the graph?
all real numbers
all real numbers greater than or equal to-2
all real numbers greater than or equal to -5
o all real numbers greater than or equal to 0
Answers
The function continues
The domain of a function is the set of input values where function defines thus the domain will be all real numbers so option (A) is correct.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
As per the given graph,
The function is continuous at every interval of x so the domain will be negative infinity to positive infinite or all real numbers.
Hence "The domain of a function is the set of input values where function defines thus the domain will be all real numbers".
For more details about the range and domain of the function,
brainly.com/question/28135761
#SPJ6
Can someone help me with this question I retake this picture
Answers
Answer:
1. 5*10=50
2. Draw an array that's 4 by 5, 2 by 10, or 1 by 20
Step-by-step explanation:
For the first problem, since there are 5 rows and 10 columns, the expression is 5*10. This is equal to 50. For the second problem, the array could either be an array with 2 rows and 10 columns, 4 rows and 5 columns, 1 row and 20 columns, or vice versa. Hope this helps!
The surface area of the three dimensional figure is ____ square centimeters
Answers
Answer:
536.6
Step-by-step explanation:
First I found the area for the rectangles which is (15x10) multiplied by 3.
Then I found the area for the triangles which is A=(1/2)(8.66)(10). Which equals 43.3, then multiplied that by 2.
Add all the areas together (150)(3)+(43.3)(2)=536.6
Answer:
536.6
Step-by-step explanation:
it is a strange shape and that is the answer
I WILL MARK BRAINLY PLUS GIVE 33+
In the U.S., from 2004 - 2015, the correlation coefficient for the relationship
between the size of a cell phone data plan, x, and the number of text
messages sent, y, is r = +0.97. Describe the relationship between the data
plan size and the number of text messages sent in the U.S.
Answers
Answer:
There is a very strong positive correlation between size of a cell phone data plan and the number of text messages sent in the U.S.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
Positive correlation is an association amid two variables in which both variables change in the same direction. A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.
Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.
The correlation coefficient for the relationship between the size of a cell phone data plan, x, and the number of text messages sent, y is:
r = +0.97.
The correlation value is very close to +1.
So, we can say that there is a very strong positive correlation between size of a cell phone data plan and the number of text messages sent in the U.S.
Find x if f(x) = 2x + 7 and f(x) = -1.
A. -4. B. -3. C. 5.
Answers
Answer:
A. -4
Step-by-step explanation:
Set equations equal to each other.
2x+7=-1
Subtract 7 from both sides.
2x = -8
Divide both sides by 2.
x = -4
PLS ANSWER DUE LATER TODAY!!!
Answers
Answer:
1) y= 2x-4
2) y= 2/3 - 3
3) y=1/2x+2
4) y=-4x-4
Step-by-step explanation:
all you basically has to do is is subtract the x to isolate the y and if the y and if the y still has a number by it you use it to decide it
Find the missing side length to the nearest tenth of a foot. hypotenuse is 14 and leg is 8
Answers
Answer:
x = √(14² - 8²) = √(196 - 64) = √132 = 2√33 = about 11.5 feet
Describe the solution to the system of equations below.
HALP
Answers
y
y in
5
x
−
y
=
8
5x−y=8.
y
=
5
x
−
8
y=5x−8
2 Substitute
y
=
5
x
−
8
y=5x−8 into
2
0
x
−
4
y
=
2
4
20x−4y=24.
3
2
=
2
4
32=24
3 Since
3
2
=
2
4
32=24 is not true, this is an inconsistent system.
Would you rather pay for 3 gifts and get 1 free or use a coupon for 20% off?
Answers
Answer:
pay three 1 free
Step-by-step explanation:
If you pay 3 and get 1 free, you pay 75%, if you get 20% off you pay 80%. If you want to pay less, pay three and get 1 free
John’s age in 5 years time will be the same as Jack’s age is now. In two years, Jack will be twice as old as John. How old are they now?
Answers
Answer:
john 2 1/2 years old jack is 7
in 5 years he will be 7 like jack is now
in two years jack is 9 and john is 4.5
Step-by-step explanation:
You could also say john is 3 and jack 8 in 5 years he is 8 like jack
and in 2 years he is 5 and jack is 10 which is twice the age.
it doesn't work for other ages.
25 BRAINY POINTS + WILL MARK BRAINIST + 5 STARS + THANKS!!!!!!!!!
Answers
Answer:
less than
Step-by-step explanation:
time is minutes and volume is already gallons and the 2 for gallons is at 4 minutes marking it 1 gallon per 2 minutes or half a gallon per minute
James earned a total of 18$ by selling 9 cups of lemonade.How many cups of lemonade does james need to sell in all to earn $26
Choices:
15
13
12
14
Answers
Answer:
The correct answer is 13
Step-by-step explanation:
I need the answer to this question
Answers
Answer:
A B D E F G
Step-by-step explanation:
Integer is a whole number (not a fraction)
Answer:
A, B, D, E, F, G
Step-by-step explanation:
An integer can only be a WHOLE number. C and H are decimals [NOT WHOLE NUMBERS] so they wouldn't satisfy the requirements.
The ratio in Mrs. Jones class was 10 boys to 13 girls. If the school has 700 students, how many boys attend the school?
Answers
Answer:
304
Step-by-step explanation:
total students of Mr. Jones' class = 10 + 13 = 23
boys who attend the school = (700 / 23) x 10 = approximately 304 boys
NEED ANSWER ASAP
MARKING BRAINLIEST
Answers
Answer:
34
Step-by-step explanation:
I have none... But I remember being asked this question in class!
I hope I've helped! Please leave a thanks and vote!
That’s the answer, 34 is your answer
You are considering buying two different vehicles. • The first is a van at $20,523, and an estimated annual operating cost of $3200. • The second is a fuel-efficient car at $23,540 and an estimated annual operating cost of $2450. Use these equations to represent the cost (y) of the cars over x years: Y = 20,523 + 3200 X Y = 23,540 + 2450 X
Answers
Answer:
Fill in the following tables, using the equations.
Cost of owning and operating the vehicles
Vehicle 0 1 2 3 4 5 6
Van $20,523 $23,723 $26,923 $30,123 $33,323 $36,523 $39,723
Car $23,540 $25,990 $28,440 $30,890 $33,340 $35,790 $38,240
How much does each vehicle cost initially?
Van costs $20,523Car costs $23,540How much does each cost to operate for one year?
Van costs $3.200Car costs $2,450Which one initially costs less?
VanWhich one will cost less over the six years?
CarWhen do they cost about the same?
year 4: van accumulated costs $33,323 and car accumulated costs = $33,340By calculating the costs over various years, you can determine which vehicle is more cost-effective based on the expected ownership duration. For instance, over 5 years, the fuel-efficient car is cheaper.
To compare the total cost of the van and the fuel-efficient car over time, we will use the given equations:
For the van: Y = $20,523 + $3200XFor the fuel-efficient car: Y = $23,540 + $2450XHere, Y represents the total cost over X years. To determine which vehicle is more cost-effective over a certain period, we need to calculate and compare the costs for various values of X.
Example Calculation:
Suppose we compare the costs for 5 years.
For the van:Y = $20,523 + $3200(5)
Y = $20,523 + $16,000
Y = $36,523For the fuel-efficient car:
Y = $23,540 + $2450(5)
Y = $23,540 + $12,250
Y = $35,790
In this 5-year scenario, the fuel-efficient car is cheaper than the van.
By performing similar calculations for different time periods, you can determine which vehicle is more cost-effective based on your expected ownership duration.
help me please asap
Answers
Answer:
the second one
Step-by-step explanation:
Answer:
The second on is the answer.
Step-by-step explanation:
What is the measure of Angle X W Y?
A. 16 degrees
B. 74 degrees
C. 106 degrees
D. 116 degrees
Answers
Answer:
The answer is 106
Step-by-step explanation:
for every triangle's measurement adds up to 180 degrees so if you take 74 degrees and subtract it with 180 you would get 106 degrees.
HOPE THIS HELPS
The measure of angle of triangle XWY is 106°.
What is triangle?A triangle is "closed, 3-dimensional shape with 3 - sides, 3 - edges and 3- angles".
According to the question,
The triangle has an angle is 74°.
Sum of angle of triangle is 180°
Measure of an angle XWY = 180 -74
=106°.
Hence, the measure of angle of triangle XWY is 106°.
Learn more about triangle here
https://brainly.com/question/4052311
#SPJ2
How many unit cubes are needed to
make a model of a rectangular prism
that is 9 units long, 5 units wide, and
3 units high?
A 17 unit cubes
B 135 unit cubes
C 174 unit cubes
D 270 unit cubes
Answers
Answer:
b
Step-by-step explanation:
3 x 5=15
15 x 9= 135
135=b
15f) Determine the line of symmetry. y = x2+16x+64
Answers
The equation of the line of symmetry of the parabola y = x² + 16x + 64 will be x + 8 = 0.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient. Then the equation of the parabola will be given as,
y = a(x - h)² + k
The equation of the parabola is given below.
y = x² + 16x + 64
Convert the standard equation into a vertex form. Then we have
y = x² + 16x + 64
y = (x + 8)²
We know that the line of symmetry passes through the vertex of the parabola. Then the equation of the line of symmetry is given as,
x + 8 = 0
The equation of the line of symmetry of the parabola y = x² + 16x + 64 will be x + 8 = 0.
More about the equation of the parabola link is given below.
https://brainly.com/question/20333425
#SPJ2