Answers
The equation for the circle graphed in the coordinate axis is:
(x - 5)^2 + (y - 6)^2 = 16
How to determine the equation for the circle?Remember that the equation for a circle whose center is at (a, b) and has a radius R is.
(x - a)^2 + (y - b)^2 = R^2
On the graph, we can see that the center of the circle is at (5, 6), and the radius of the circle is R = 4 units. Then the equation for the circle in the graph is:
(x - 5)^2 + (y - 6)^2 = 4^2
(x - 5)^2 + (y - 6)^2 = 16
That is the equation we wanted to find.
Learn more about circles at:
https://brainly.com/question/1559324
#SPJ1
Related Questions
A particular employee arrives at work sometime between 8:00 a.m. and 8:50 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:50 a.m. Find the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. Round your answer to four decimal places, if necessary.
Answers
The probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. is 0.8, or 80% when expressed as a percentage.
HOW TO SOLVE THE PROBABILITY ?To find the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m., we need to calculate the proportion of the total possible time range between 8:00 a.m. and 8:50 a.m. that falls within the specified time interval.
The total time range between 8:00 a.m. and 8:50 a.m. is 50 minutes (8:50 - 8:00 = 50). The time interval between 8:05 a.m. and 8:45 a.m. is 40 minutes (8:45 - 8:05 = 40).
So, the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. is:
Probability = (Time interval between 8:05 a.m. and 8:45 a.m.) / (Total time range between 8:00 a.m. and 8:50 a.m.)
Probability = 40 minutes / 50 minutes
Probability = 0.8
Therefore, the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. is 0.8, or 80% when expressed as a percentage.
To know more about probability visit,
https://brainly.com/question/30034780
#SPJ1
1) You're traveling to Spain this
summer. You'll have $200 to spend on
memorabilia items. How much euros
do you have to spend on memorabilia
items? Note: $1=0.84 E
Answers
Using the conversion factor we know that we will spend 180.69€ on memorabilia items.
What is the conversion factor?A conversion factor is a number that is used to multiply or divide one set of units into another.
If a conversion is required, it must be done using the correct conversion factor to get an identical value.
A fraction that is equal to "1" is a conversion factor.
The numerator and denominator are the same amounts, but they are expressed in different units. It is used to change a number's unit of measurement.
By multiplying the initial number by the fraction that is equal to "1," you can change the units without changing the original number's value.
So, in the given situation:
$200 = euros?
We know that:
$1 = 0.90€
Then,
$200 = 180.69€
Therefore, using the conversion factor we know that we will spend 180.69€ on memorabilia items.
Know more about conversion factors here:
https://brainly.com/question/97386
#SPJ1
Find the volume of the oblique pyramid below. Show all your work. Please don’t forget to label your answer.
Answers
Volume of oblique pyramid is 170ft³.
Define oblique pyramidAn oblique pyramid is a pyramid in which the apex is not directly above or below the center of the base. It is called "oblique" because it has a slant or tilt to its shape, as opposed to a "right" pyramid where the apex is directly above the center of the base. Oblique pyramids can have different shapes for their bases, such as a square, rectangle, triangle, or any other polygon.
Given
Base area=1/2× 12× 5
height of pyramid=17ft
Volume of oblique pyramid=Base area × height/3
=(1/2× 12× 5 ×17)/3
=170ft³
To know more about square, visit:
https://brainly.com/question/14198272
#SPJ1
NO LINKS!! URGENT HELP PLEASE!!!
Express the statement as an inequality part 2 c^2
a. The negative of z is not greater than 6
1. z ≤ 6
2. -z ≤ 6
3. z ≤ -6
4. -z < 6
5. z < 6
b. The negative of m is not less than -6
1. m ≤ -6
2. m < -6
3. -m < -6
4. m < 6
5. -m ≥ -6
Answers
Symbol notation
< means "less than".> means "greater than".≤ means "less than or equal to".≥ means "greater than or equal to".= means "equals".A negative real number is any real number that is less than zero.
A positive real number is any real number that is greater than zero.
Zero is neither positive nor negative.
(a) The negative of z is not greater than 6
If the negative of z is not greater than 6, then it is less than or equal to 6.
-z ≤ 6.
(b) The negative of m is not less than -6
If the negative of z is not less than -6, then it is greater than or equal to -6.
-m ≥ -6.
-z ≤ 6
b. The negative of m is not less than -6 can be written as:
-m ≥ -6
Answer please and thank you
Answers
Answer:
Step-by-step explanation
The answer is 72. 2 x 36 equals 72.
A normal distribution has a mean of19 and a standard deviation of . What percent of values are from 19 to 34
what is the % of the values from 19to 34
Answers
It should be noted that 49.87% of the values fall between 19 and 34 in the original normal distribution.
How to calculate the percentageFor the lower bound of 19, the z-score is:
z = (19 - 19) / 5 = 0
For the upper bound of 34, the z-score is:
z = (34 - 19) / 5 = 3
Looking up the area under the curve for a z-score of 3 in a standard normal distribution table, we find it to be 0.9987. Looking up the area under the curve for a z-score of 0, we find it to be 0.5. Therefore, the area under the curve between z-scores of 0 and 3 is:
0.9987 - 0.5 = 0.4987 = 49.87%
Learn more about percentages on
https://brainly.com/question/24877689
#SPJ1
algebra 2 help asap (please do quickly i need it bad)
Answers
The cube's volume can be expressed as V = s³ = x³ since the height of the cube is x and all sides have equal length. The surface area of the cube can be expressed as SA = 6s² = 6x².
How to explain the informationb. The sphere's volume can be expressed as V = (4/3)πr³, where r is half the diameter or x/2. Therefore, V = (4/3)π(x/2)³ = (1/6)πx³.
The surface area of the sphere can be expressed as SA = 4πr² = 4π(x/2)² = πx².
c. The ratio of the cube's volume to its surface area can be expressed as V/SA = (x³)/(6x²) = x/6, with the restriction that x > 0.
d. The ratio of the sphere's volume to its surface area can be expressed as V/SA = [(1/6)πx³]/(πx²) = x/6, with the restriction that x > 0.
e. Since the ratios of the volumes to the surface areas of the containers are the same, the efficiency of the packaging will depend only on the amount of material required for each shape. The cube will require less material since it has a smaller surface area, making it the more efficient choice.
Learn more about volume on
https://brainly.com/question/27710307
#SPJ1
Martin made a stick pattern such that each successive stick is twice as long as the one before it. If the shortest stick in the pattern is long, and there are sticks in total, which is closest to the combined length of the sticks in Martin's pattern?
Answers
S_n = a(1 - r^n) / (1 - r)
In this case, we have n sticks in total, so we need to calculate S_n with n:
S_n = a(1 - 2^n) / (1 - 2)
S_n = a(2^n - 1)
Therefore, the combined length of the sticks in Martin's pattern is closest to (2^n - 1) multiplied by the length of the shortest stick.
There are 15 Keurig pods in the green basket. It has two Donut Shop, six Swiss Miss hot chocolate, and seven Breakfast Blend flavors. Maddy, Charlie, and Ann like the Donut Shop Keurig pod the best. What is the probability that Ann will get the Donut Shop pod?
Answers
The probability that Ann will get the Donut Shop pod would be = 2/15
How to calculate the probability of getting a Donut Shop pod?The total number of Keurig pods in the green basket = 15
The number of Donut Shop in the basket = 2
Formula for probability;
= possible outcome/sample space
where;
possible outcome = 2
sample space = 15
Probability = 2/15
Learn more about probability here:
https://brainly.com/question/25870256
#SPJ1
Write an equation that you can use to solve for x.
Three lines intersect at the same point. Two of the lines intersect at a 90 degree angle. The third line divides one of the right angles into two adjacent angles. One of the adjacent angles is labeled 63 degrees and the other adjacent angle is labeled x degrees
Answers
Answer:
Ok so we know it has to equal=180 right?
90+90=180
180/4
45
If Hazel buys 0.9 pounds of coffee ice cream and 3.4 pounds of cherry ice cream, how much will she spend?
Answers
Answer:
what brand
Step-by-step explanation:
this. please look at photo fir ref
Answers
The coordinates of point H' include the following: H' (0, -1).
What is a translation?In Mathematics, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.
By translating the pre-image of this trapezoid vertically downward by 2 units and horizontally right by 3 units, the coordinates of the image include the following:
(x, y) → (x + 3, y - 2)
E(-1, 4) → (-1 + 3, 4 - 2) = E' (2, 2).
H (-3, 1) → (-3 + 3, 1 - 2) = H' (0, -1).
Read more on translation here: brainly.com/question/26869095
#SPJ1
The diameter of a circle is 34 kilometers. What is the circle's circumference?
Answers
Circumference = π × diameter
where π (pi) is approximately 3.14.
Substituting the given value of diameter (34 kilometers) into the formula, we get:
Circumference = 3.14 × 34 kilometers
Circumference = 106.76 kilometers
Therefore, the circumference of the circle is 106.76 kilometers.
Karla invests $10,000 into an account with a 2.2% interest that is compounded annually.
How much money will she have in this account if she keeps it for 5 years? Round your answer to the nearest dollar. Do not round at any other point in the solving process; only round your answer.
Answers
Karla will have approximately $11,149 in the account after 5 years, rounded to the nearest dollar.
How much money will Karia have in this account if she keeps it for 5 years?The formula accrued amount in a compounded interest is expressed as;
A = P( 1 + r/n )^( n × t )
Where A is accrued amount, P is principal, r is interest rate and t is time.
Given that:
Principal P = $10,000Compounded annually n = 1Time t = 5 yearsInterest rate r = 2.2%Accrued amount A = ?First, convert R as a percent to r as a decimal
r = R/100
r = 2.2/100
r = 0.022
Plug the given values into the above formula and solve for A.
A = P( 1 + r/n )^( n × t )
A = 10,000( 1 + 0.022/1 )^( 1 × 5 )
A = 10,000( 1 + 0.022 )^( 5 )
A = 10,000( 1.022 )^( 5 )
A = $11,149
Therefore, the accrued amount after 5 years is $11,149.
Learn more about compound interest here: brainly.com/question/27128740
#SPJ1
NO LINKS!! URGENT HELP PLEASE!!!!
Express the statement as an inequality. Part 3a^2
Answers
The inequalities for the given word problems are:
g) p/q ≤ 6
h) 1/w ≥ 9
How to solve Inequality word problems?Inequality word problems are statements or words used to describe specific inequalities.
g) We are told that the quotient of p and q is at most 6. Thus, it is a maximum of 6. Therefore, we can write the inequality as:
p/q ≤ 6
h) We are told that the reciprocal of w is at least 9. Thus, the inequality is expressed as:
1/w ≥ 9
Read more about Inequality problems at: https://brainly.com/question/25275758
#SPJ1
Express the second quantity as a percentage of the first: (a) 10 kilograms, 105 grams (b) 8 meters, 1 kilometer
Answers
(a) As a percentage, 105 grams is 1.04% of 10 kilograms.
(b) As a percentage 1 kilometer is approximately 99.21% of 8 meters.
How to Express a Quantity as a Percentage of another?(a) To express the second quantity, 105 grams, as a percentage of the first quantity, 10 kilograms, we first need to convert both quantities to the same unit.
10 kilograms is equal to 10,000 grams (since 1 kilogram = 1000 grams), so:
10,000 grams + 105 grams = 10,105 grams
105 grams / 10,105 grams * 100% = 1.04%
Therefore, 105 grams is 1.04% of 10 kilograms.
(b) To express the second quantity, 1 kilometer, as a percentage of the first quantity, 8 meters, we first need to convert both quantities to the same unit.
1 kilometer is equal to 1000 meters (since 1 kilometer = 1000 meters), so:
8 meters + 1000 meters = 1008 meters
1000 meters / 1008 meters * 100% = 99.21%
Therefore, 1 kilometer is approximately 99.21% of 8 meters.
Learn more about the percentage on:
https://brainly.com/question/24877689
#SPJ1
3. A vehicle starting from rest (v(0) = m/s) at position x = 0 is subjected to the following acceleration, a(t):
A. Use your knowledge of derivatives and or integrals to plot the velocity and clearly indicate the maximum velocity on your graph
B. Given your results of part (a), use your knowledge of derivatives and or integrals to plot the position x (t), and clearly indicate the total distance traveled on your graph
Answers
Part A: The maximum velocity occurs at t = 0. We can plug this value into the velocity function to find the maximum velocity:
v_max = 0² = 0
Part B: The time at which the vehicle comes to rest is T = 0.
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range.
The first step is to integrate the acceleration function to obtain the velocity function. Then, we can integrate the velocity function to obtain the position function.
Let's assume that the acceleration function is given by:
a(t) = 2t, where t is time in seconds.
Part A:
To find the velocity function, we integrate the acceleration function with respect to time:
v(t) = ∫a(t)dt = ∫2tdt = t² + C
where C is the constant of integration. We can find C by using the initial condition v(0) = 0.
v(0) = C = 0
Therefore, the velocity function is given by:
v(t) = t²
To find the maximum velocity, we can take the derivative of the velocity function and set it equal to zero:
dv/dt = 2t = 0
t = 0
Therefore, the maximum velocity occurs at t = 0. We can plug this value into the velocity function to find the maximum velocity:
v_max = 0² = 0
So, the maximum velocity is 0 m/s.
Part B:
To find the position function, we integrate the velocity function with respect to time:
x(t) = ∫v(t)dt = ∫t²dt = (1/3)t³ + C
where C is the constant of integration. We can find C by using the initial condition x(0) = 0.
x(0) = C = 0
Therefore, the position function is given by:
x(t) = (1/3)t³
To find the total distance traveled, we can find the area under the velocity graph. Since the velocity is always positive, the total distance traveled is the same as the total displacement. Therefore, we can find the displacement by finding the area under the velocity graph from t = 0 to t = T, where T is the time at which the vehicle comes to rest.
v(T) = 0
T² = 0
T = 0
Therefore, the time at which the vehicle comes to rest is T = 0.
The displacement is given by:
x_displacement = ∫v(t)dt from t=0 to t=T = ∫0 dt = 0
Therefore, the total distance traveled is 0 meters.
To learn more about functions from the given link:
https://brainly.com/question/12431044
#SPJ1
The committee members will spend money to rent the following equipment:
• 2 fog machines
• 1 sound equipment set-up
• 1 disco ball
They already spent $855 on lighting and $462 on costumes.
Each audience member will receive a gift that costs $1.15 each.
What is the total amount of money, in dollars, the committee will spend on the talent show?
Item
Spotlight
Fog machine
Sound equipment set-up
Disco ball
Cost Per Item
$ 45 each
$ 40 each
$165 each
$ 45 each
Answers
Answer:
1,607 plus the amount of people multipled by 1.15
Step-by-step explanation:
2 fog machines = $80
1 sound equipment = $165
1 disco ball = $45
80+165+45+855+462= $1,607
I’m in 4th period and it’s almost over with in 3 minutes please help!!
-3x-24 ≤-36
Answers
Answer:
-3x - 24 < -36
-3x < -12
x > 4
HELPPPPPP PLEASEEEEE
Answers
Answer: 300
Step-by-step explanation:
10*8*6=480-6*6*5=180=300
Find m∠MQN. help me on this one.
Answers
Answer:
Vertically opposite angles are always same.
Straight angle=180°
Angle MQN=70°
89, 93, 54, 64, 91, 103, 46, 64, 82, 123, 112, 99
1188
median :
mean
mode
range
Answers
Mean - 170
Mode -64
Range - 1142
Find the missing measurements in the triangle.
Angles should be to the nearest degree.
Side lengths should be rounded to the nearest tenth.
Answers
Answer: angle b= 63
Ac= 23.6
Ab=26.4
Step-by-step explanation:
angle b= 63
Ac= 23.6
Ab=26.4
Angle B is 63 degrees, the length of AC is approximately 22.23 units, and the length of AB is approximately 26.42 units.
What is right angle triangle?
A triangle in which one of its angles measures 90 degrees is called a right-angled triangle .
The side opposite the right angle is called the hypotenuse while the other two sides are called the legs or the adjacent and opposite sides.
According to given figure angle C is a right angle, we know that the sum of angles A and B must be 90 degrees.
So, angle B = 90 - angle A = 90 - 27 = 63 degrees.
To find the length of AC, we can use trigonometry. Since we know the length of the opposite side (BC) and the angle opposite the side we want to find (angle A), we can use the tangent function:
tan A = opposite / adjacent
tan 27 = BC / AC
AC = BC / tan 27
AC = 12 / tan 27
AC ≈ 22.23
Now,
[tex]AB^2 = AC^2 + BC^2 \\ AB^2 = 22.23^2 + 12^2 \\ AB^2 ≈ 697.57 \\ AB ≈ 26.42[/tex]
Therefore, Angle B is 63 degrees, the length of AC is approximately 22.23 units, and the length of AB is approximately 26.42 units.
Learn more about right angle triangle here,
https://brainly.com/question/31352174
#SPJ1
Over what interval does f(x) = 2x
increase faster than g (X) =
¿x?
A. 1
B. x > 3
C.20
D. 1 > x > 21
Answers
If over what interval does f(x) = 2x increase faster than g (X): A. 1
What is over the interval?To determine over what interval f(x) = 2x increases faster than g(x) = x^2, we need to compare their derivatives. The derivative of f(x) is 2, which is a constant, and the derivative of g(x) is 2x. Therefore, f(x) increases at a constant rate of 2, while g(x) increases at a rate that depends on x.
To find the interval where f(x) increases faster than g(x), we need to find where the derivative of g(x) is less than 2. Setting 2x < 2 and solving for x, we get x < 1.
So, over the interval x < 1, f(x) = 2x increases faster than g(x) = x^2.
Therefore, the answer is A. 1.
Learn more about interval here:https://brainly.com/question/29130032
#SPJ1
Write the equation of the line that passes through (7,- 4) and (-1, -2) in slope-intercept form.
O y = x-1
O y = -x-1
O y=-x-2
O y=-4x-6
Answers
m = (y2 - y1) / (x2 - x1)
Substituting the given values, we get:
m = (-2 - (-4)) / (-1 - 7) = 2/8 = 1/4
Now that we have the slope, we need to find the y-intercept of the line, which is denoted by 'b'. We can use the slope-intercept form of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept.
To find b, we can use one of the given points. Let's use (7, -4):
-4 = (1/4)(7) + b
-4 = 7/4 + b
b = -4 - 7/4
b = -23/4
Now we have the slope and y-intercept, so we can write the equation of the line in slope-intercept form:
y = mx + b
y = (1/4)x - 23/4
Therefore, the correct answer is: y = (1/4)x - 23/4.
Consider the quadratic function f(x) = 1/5x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
Answers
The three statements that are true about the function and its graph are:
The graph of the function is a parabola.
The graph opens downwards, since the coefficient of x² is positive.
The graph contains the point (0, 12), which can be obtained by substituting x=0 in the function.
To check the other statements:
What is the value of f(–10) = 82?To find f(-10), we substitute x=-10 in the function:
f(-10) = 1/5*(-10)² - 5*(-10) + 12 = 82. So the statement "The value of f(–10) = 82" is true.
To check if the graph contains the point (20,-8), we substitute x=20 in the function:
f(20) = 1/5*(20)² - 5*(20) + 12 = -68. This means the point (20,-8) does not lie on the graph of the function.
To check if the graph contains the point (0,0), we substitute x=0 in the function:
f(0) = 1/5*(0)² - 5*(0) + 12 = 12. This means the point (0,0) does not lie on the graph of the function.
Learn more about graph from
https://brainly.com/question/13159926
#SPJ1
Consider the following equation. 5x+3y=8 Step 1 of 2 : Determine the missing coordinate in the ordered pair (3,?) so that it will satisfy the given equation.
Answers
Answer: (3, -2.333) or (3, -7/3)
Step-by-step explanation:
We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.
[tex]5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}[/tex]
Answer:
y= -2 1/3
Step-by-step explanation:
Since you have x, you put x into the equation and work through the problem.
5(3)+3y=8
15+3y=8, then subtract 15 from both sides
3y=(-7), then divide both sides by 3
y=(-7)/3 or (-2 1/3)
if tan68° = 1/m, express the following in terms of m:
1. tan22°
Answers
tan(3 * 22°) = (3tan22° - tan^3(22°)) / (1 - 3tan^2(22°))
Solving for tan(22°), we get:
tan(22°) = (3tan(3 * 22°) - tan^3(3 * 22°)) / (3tan^2(3 * 22°) - 1)
Now, using the identity tan(3θ) = (3tanθ - tan^3θ) / (1 - 3tan^2θ), we can also say that:
tan(3 * 68°) = (3tan68° - tan^3(68°)) / (1 - 3tan^2(68°))
Given that tan68° = 1/m, we can substitute this value into the equation above to get:
tan(3 * 68°) = (3/m - 1/m^3) / (1 - 3/m^2)
Simplifying this expression, we get:
tan(3 * 68°) = (3 - m^2) / (m^3 - 3m)
Now, substituting the value of tan(3 * 22°) = (3 - √3) / (3√3 - 1) into the equation for tan(22°), we get:
tan(22°) = (3(3 - √3)/(3√3 - 1) - (3 - √3)^3/(3√3 - 1)^3) / (3(3 - √3)/(3√3 - 1)^2 - 1)
Simplifying this expression, we get:
tan(22°) = (27 - 9√3 - 27√3 + 9√3) / (27√3 - 9 - 3√3 + 1)
tan(22°) = (18 - 18√3) / (26√3 - 8)
Therefore, we can express tan(22°) in terms of m as:
tan(22°) = (18 - 18√3) / (26√3
tan(68° - 46°) = (tan 68° - tan 46°)/(1 + tan 68° * tan 46°)
tan 22° = (tan 68° - tan 46°)/(1 + tan 68° * tan 46°)
We know that tan 68° = 1/m, so we can substitute:
tan 22° = (1/m - tan 46°)/(1 + (1/m) * tan 46°)
Therefore, tan 22° can be expressed in terms of m as:
tan 22° = (1/m - tan 46°)/(1 + tan 46°/m)
lo. Rebecca found the length and width of the 6. garage door. She used the measurements to find the perimeter of the garage door. Which of the following could be the perimeter of Rebecca's garage door? F 48 square feet /G 48 square inches/ H 48 feet/ J 48 cubic feet
Answers
H 48 feet could be the perimeter of Rebecca's garage door.
We know,
Perimeter is the distance around a two-dimensional shape. It is measured in units of length, such as feet or inches.
Rebecca found the length and width of the garage door, which are both measurements of length. Let's say she found that the length was 8 feet and the width was 6 feet.
To find the perimeter, she would add up the lengths of all four sides of the rectangle:
Perimeter = 2(length) + 2(width)
Perimeter = 2(8 feet) + 2(6 feet)
Perimeter = 16 feet + 12 feet
Perimeter = 28 feet
So the perimeter of Rebecca's garage door is 28 feet. None of the answer choices given match this value exactly, but H 48 feet is a possible perimeter if the garage door was much larger than the example given above. However, it is important to note that the term "cubic feet" (answer choice J) does not apply to perimeter, as cubic feet is a unit of volume and not length.
Learn more about perimeter here,
https://brainly.com/question/19819849
#SPJ1
pls help thank u i dont no what im doing
Answers
Answer:5,4
Step-by-step explanation: