The Equation of circle is (x-2)² +(y+ 8)² = 7²
The standard form of a circle with center (h, k) and radius r is given by the equation:
(x-h)² + (y-k)² = r²
In this equation, (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.
In this case, the center of the circle is (2, -8) and the radius is 7.
Plugging these values into the equation, we have:
(x- 2)² + (y- (-8))² = 7²
Simplifying further:
(x-2)² +(y+ 8)² = 7²
So, the equation in standard form for the circle with center (2, -8) and radius 7 is:
(x-2)² +(y+ 8)² = 7²
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Write an equation that represents three less than eight times a number is 17.
Answer:
8x-3=17
Step-by-step explanation:
The term “less than” indicates that the 8x comes first in the equation because you’re taking 3 away from it
PLEASE I NEED ANSWER
Answer:
C and D. The x-axis is horizontal, the y-axis is vertical. Quadrant 3 is where you would find a point where the x is positive and the y is negative. Quadrant 3 is below the x-axis and is to the left of the y-axis.
Step-by-step explanation:
Hope it helps! =D
The probability that a civil servant own a car is 1/6,if two civil servants are selected at random.Find the probability that a.Each own a carb.Only one owns a car
Answer:
Step-by-step explanation: Given that a civil servant own a car is 1/6.
A) The Pr. that each own a car = Pr of each multiplied by the other.
Pr = 1/6 ×1/6
P = 1/36
B) Pr that only one owns a car
= 1/6 × (1-1/6) + 1/6 × (1-1/6)
= 1/6 × 5/6 + 5/6 × 1/6
= 5/36 + 5/36
= 10/36
= 5/18
Please help, ASAP!!!!!!!! I need these TODAY!
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At Weichert Realty, each agent earns 7% commission on their sales. If they sell a house for $300,000, they would earn $21,000. How much would
they have to sell in order to earn $35,000?
$50,000
B) $25,000
$2,450
$500,000
Sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.
Use the given information to set up a proportion and solve for the unknown sales amount:
Commission earned / Sales amount = Commission rate
$21,000 / $300,000 = 0.07
Now we can use this proportion to find the sales amount needed to earn $35,000:
$35,000 / 0.07 = $500,000
Therefore, they would need to sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.
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which one is it help pls
Answer:
third option
Step-by-step explanation:
the point ( 98, 56.3 ) is in the form (x, y ) where x is the horizontal axis and y the vertical axis.
the horizontal axis is chirps per minute and vertical axis is temperature.
then (98, 56.3 ) means
an expected temperature of 56.3 ° F when the cricket has chirped 98 times
Jamie is twice as old as Natalie now. Give years ago the sum of their ages was 26. How old is each person now?
answer:
8. 67 and 17. 36
step-by-step explanation:
hi there!
to find out the age of both girls, i believe that we should divide the number 26 by 3 because jamie is twice as old as natalie meaning ( natalie ) is younger
26/3
= 8. 67
meaning 8.67 is how old natalie is/was
add 8.68 to itself once and you will get jamie's age!
8. 67 + 8. 67
= 17. 34
meaning 17. 34 is how old jamie is/was
sorry if i misread the question or made it a little confusing! but i do hope that this ends up helping you! :)
solve for w
|w|=4
if there is more than one solution, sperate them with commas. if there is no solution, type "there is no solution"
w=?
Answer:
W= +4
Step-by-step explanation:
Cymath♥️
Mr. K math class is one 1 over four hours long after working problems on the board for 55 minutes 11/12 hours he gave the students the rest of the class. To work on homework how long did students have to work on homework right your answer in simplest form
We can conclude that the students did not have any time left to work on homework.
The duration of Mr. K's math class is 1 and 1/4 hours, or 5/4 hours.
We need to determine how much time is left for the kids to do their assignment after working on problems on the board for 55 minutes and 11/12 hours. To achieve this, we must take the time spent solving issues out of the overall class time:
Total class time = 5/4 hours
Time spent on working problems = 55 minutes + 11/12 hours
= (55/60) hours + (11/12) hours
= (11/12 + 55/60) hours
= (11/12 + 11/12) hours
= (22/12) hours
= (11/6) hours
Overall class time minus the amount of time spent solving problems equals the amount of time remaining for homework.
= 5/4 hours - 11/6 hours
= (15/12) hours - (22/12) hours
= (-7/12) hours
We can infer that the kids ran out of time to finish their homework because the response is illogical because we cannot have negative time.
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product of 2 and the difference between t and 1 is 14
Answer:
2x + t - 1 =14
Step-by-step explanation:
give me brainliest plz and hope this helps also i am very good at math so that is a reassurance that this is correct
The measure of an angle is 119°. What is the measure of its supplementary angle?
Answer:
The supplement of 61° is 119°
Step-by-step explanation:
180 - 61 = 119° The supplement of 61° is 119°
The measure of the angle is 61 degrees
How to determine the angleTo determine the measure of the angle, we need to know the following;
Supplementary angle are angles that sum up to 180 degreesComplementary angles are angles that sum up to 90 degreesAlternate angles are equalCorresponding angles are equalAngles on a straight line is equal to 180 degreesFrom the information given, we have that;
The measure of an angle is 119°'
This is represented as;
119 + x = 180
collect the like terms, we get;
x = 180 -119
subtract the values, we have;
x = 61 degrees
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(1/3) to the power of 2×(−10÷14) ASAP PLS
Answer:
The expression (1/3) to the power of 2x(−10÷14) is equal to (1/3)^(-5/7).
Step-by-step explanation:
Calculating this expression in general will give you a decimal value as an outcome, However, since i do not have the ability to perform calculations, i can give you this hint. It will be a small number close to zero but not zero.
It's important to note that the order of operations (PEMDAS) should be followed when evaluating this expression: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
A hemisphere on top of a cylinder is shown. The height from the bottom
of the cylinder to the top of the hemisphere is h. The hemisphere and the cylinder have the same radius, r.
Which expression represents the volume, in cubic units, of this three-
dimensional object?
Answer:
2/3 π ³+ πr²(h-r)
Step-by-step explanation:
Square ABCD has vertices at these points A(-7,1), B(-3,5), C(1,1), D(-3,-3). What is the length of the diagonal AC?
Answer:
8 units
Step-by-step explanation:
A (- 7, 1 ) and C (1, 1 )
since the y- coordinates are equal, both 1 then the length of AC is the absolute difference of the x- coordinates , that is
AC = | 1 - (- 7 ) | = | 1 + 7 | = | 8 | = 8
or
AC = | - 7 - 1 | = | - 8 | = 8
A truck driver was on a highway where the speed limit is 65mph. At 9:10 am a traffic control camera clocked the velocity of the truck at 60mph and 9:15 am a second camera located 8 miles down the road clocked the velocity of this truck at 65mph. In a couple days the truck driver received a speeding ticket and was surprised. "how did they know I drove above the speed limit?"
At some point what was the speed of the truck on the highway?
Answer: We can work out the normal speed of the truck between the two camera areas to decide how the specialists knew the transporter surpassed as far as possible.
Step-by-step explanation: The time distinction between the two camera readings is 5 minutes, or 5/60 = 1/12 hour
The truck voyages 8 miles between the two camera areas.
We partition the distance when to get the typical speed: 8 miles/ (1/12 hour) = 96 miles each hour.
Since the roadway speed limit is 65 miles each hour, clearly the transporter was surpassing as far as possible, which makes sense of why they got a speeding ticket.
Because of the information from the traffic light cameras and the determined typical speed, it was resolved that the transporter surpassed as far as possible, which brought about the issuance of the speeding ticket.
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We can determine the truck's speed on the roadway at a particular time using the information provided.
The truck covered an 8-mile route between the first and second cameras between 9:10 and 9:15 am. Five minutes have passed between the two camera readings.
We can apply the following formula to determine the truck's average speed over this period:
Total Distance x Total Time = Average Speed
Since there are 60 minutes in an hour, the total distance is 8 miles and the total time is 5 minutes, which can be translated to hours by dividing by 60.
Average Speed = 8 miles / (5 minutes / 60 minutes per hour)
= 8 miles / (5/60) hours
= 8 miles / (1/12) hours
= 8 miles * 12 hours
= 96 miles per hour
As a result, the vehicle was traveling 96 miles per hour on the highway at that moment. This is why the truck driver was issued a speeding ticket because it is above the 65 mph limit.
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Consider the following second order differential equation: y’’ – 4y' — 2y + y³ = 0 There is a system of first order differential equations associated with this second order differential equation, using the equation y' = v. If we look at the vector field for this system of equations, what is the vector at the point (y, v) = ( − 5, − 2)? Give your answer as a pair of numbers in parentheses,
The vector at the point (-5, -2) in the vector field associated with the system of first-order differential equations y' = v and y'' - 4y' - 2y + y³ = 0 is (-2, -21).
To determine the vector at the point (-5, -2) in the vector field, we need to substitute these values into the system of first-order differential equations and solve for the corresponding values of y' and y''.
Given the equation y' = v, we can see that when y' = -2, v = -2.
Substituting y = -5 and y' = -2 into the second-order differential equation y'' - 4y' - 2y + y³ = 0, we can solve for y'':
y'' - 4y' - 2y + y³ = 0
y'' - 4(-2) - 2(-5) + (-5)³ = 0
y'' + 8 + 10 - 125 = 0
y'' - 107 = 0
y'' = 107
Therefore, at the point (-5, -2), the value of y'' is 107.
Thus, the vector at the point (-5, -2) in the vector field is (-2, -21), where the first component represents the value of y' (-2) and the second component represents the value of y'' (107).
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cannot decide which of two washing machines to buy. The selling price of each is $455. The first washing machine is marked down by 50%. The second washing machine is marked down by 20% first and then an additional 30% off. Find the sale price of each washing machine. Use pencil and paper. Explain why Kareem should buy the first washing machine rather than the second if the machines are the same except for the selling price
Using the given percentages, we can see that the first option is the cheaper one.
How to find the two prices?On the first store we know that the selling price is $455 and there is a market down of 50%, so the new price is:
p =(1 - 0.5)*$455 = $227.50
On the second store there are two discounts, one of 20% and other of 30%, then the new price in this case will be:
q = (1 - 0.3)*(1 - 0.2)*$455 = $254.80
So we can see that the first option is better.
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what's inequality of 5x+2<27
Answer:
5x + 2 < 27
5x < 25
x < 5
Step-by-step explanation:
x is less than 5
What is the equation of the line? Please help asap!!!! First Correct answer will get brainestttt
Answer:
Using the two marked points we see that the slope is -3 and the y-intercept is 1 so the answer is y = -3x + 1.
Given the vector u with magnitude 5 and direction 265, and vector v with magnitude 8 and direction 105 , find the magnitude and direction of the sum u+v. Write the sum u+v in magnitude and direction form with the magnitude rounded to the nearest tenth and the direction rounded to the nearest degree
For two vectors u and v, the magnitude and direction of the sum of vectors, u +v, are equal to the 1.75 and 35.14°.
The formula to determine the magnitude of a vector (in two dimensional space) v = (x, y) is \(|v| =\sqrt {(x² + y²)}\). We have two vectors say v and u.
Magnitude of vector u = 5
direction of vector u = 265°
Magnitude of vector v = 8
direction of vector v = 105°
\(\vec u = ( 5cos(265°), 5sin(265°)) \)
\(= (−0.436 , −4.981) \)
\(\vec v = ( 8cos(105°), 8sin(105°)) \)
\(= (−1.294 ,4.829 ) \)
We have to determine the magnitude and direction of the sum, \( \vec u + \vec v\). Vector addition means putting two or more vectors together. Two vectors, a and b, can be added together using vector addition, and the resultant vector can be written as : a + b.
\( \vec u + \vec v = (-0.436 + (-1.294), -4.981 +4.829) \)
\(= (- 1.730, -0.251) \)
Now, the magnitude of the sum of two vectors is \(| \vec u + \vec v | = \sqrt{ {(u + v)_x}^{2} + {(u+v)_y}^{2} } \)
\(= \sqrt{ 1.730² + 0.251²} \)
\(= 1.74811355466 \) ~ 1.75
Now, direction of vector which is sum of vectors : Let x be angle between componets of vector ( u + v) then direction is \(tan ( \theta) = \frac{-0.251}{-1.730} \)
\(\theta = tan^{-1}(0.1451)\)
= 35.14°
Hence, required value is 35.14°.
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determine if the statement is possible(p) or impossible(i).
A triangle with the angles: 53°, 118° and 9º.
Answer: Yes, it's possible
Step-by-step explanation:
53+118+9=180
What is Pascal's law statement?
Pascal's law statement states that pressure is equal to the force divided by the area on which it acts.
What is Pascal's law statement?According to Pascal's law, pressure applied to a fluid inside of a container will be transmitted without a change in magnitude to every point within the fluid as well as the container's walls. Any point in the fluid experiences equal pressure in all directions.
The force multiplied by the surface area on which it acts produces pressure. Pascal's principle states that a pressure increase on one piston in a hydraulic system causes an equal increase in pressure on another piston in the system.
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Does the triangle inequality theorem apply to all equilateral triangles?
Yes, triangle inequality theorem apply to all equilateral triangles.
Describe Triangle inequality theorem:The triangle inequality theorem explains the relation between a triangle's three sides. This theorem states that for any triangle, the sum of the lengths of the first two sides is always greater than the length of the third side. In other terms, this theorem states that a straight line is always the shortest distance between any two places.
So Triangle inequality theorem is not only valid for all equilateral traingles but it is valid for all traingles.
A Triangle is only formed is if follows Triangle inequality theorem so every equilateral triangle needs to follow this theorem.
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can someone please help !
The first option is the correct answer
As x -> ○○ , f(x) -> ○○ , As x -> -2 , f(x) -> 4
HELP ME ASAP A die is rolled 8 times and you get 4, three times. What is the experimental probability of rolling a four?
Answer:
1/2 or 50%--------------------
The experimental probability is the ratio of actual outcomes and total outcomes:
P(Ex) = 4/8 = 1/2 or 50%i need to solve the literal equation for 6 - 3y = -6
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Multiply out (x-4)(3x-y+3)
When we multiply out (x-4)(3x-y+3), we get the expression 3x² - xy - 9x + 4y - 12.
To multiply out the expression (x-4)(3x-y+3), we use the distributive property.
This property states that for any numbers a, b, and c, a(b+c) = ab + ac.
We will apply this property twice to expand the given expression.
First, distribute the x term:
x(3x) + x(-y) + x(3) = 3x² - xy + 3x
Next, distribute the -4 term:
-4(3x) + (-4)(-y) + (-4)(3) = -12x + 4y - 12
Now, add the two sets of results:
(3x² - xy + 3x) + (-12x + 4y - 12) = 3x² - xy + 3x - 12x + 4y - 12
Finally, combine like terms: 3x² - xy - 9x + 4y - 12
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In general, which of the following is the least appropriate measure of central tendency for data sets that contain outliers?
a. mean
b. median
c. mode
The mean is the least appropriate measure of central tendency for data sets that contain outliers.
The correct option is a.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
Given:
These numbers, which were determined from the ranking data, are not affected by outliers.
In contrast, the mean is determined by utilizing all the data.
Additionally, mean is sensitive to outliers.
Therefore, if the data set contains outliers, the mean is the least suitable measure of central tendency.
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Consider the following optimization problem min
x,y,z
f(x,y,z) where f(x,y,z)=(x−2)
2
+10(y−3)
4
+(z−1)
2
e) [programming, 20pts ] For the same initial guess in part a), for each of the above learning rates, implement the GD to find the optimal solution of the above optimization problem with error criterion
∣
∣
f(x
n
,y
n
,z
n
)−f(x
n−1
,y
n−1
+
,z
n−1
)
∣
∣
<10
−8
. For each α, what is the required number of iterations n ? If the algorithm diverges, you may stop and state that it does not converge.
Programming or each of the above learning rates, implement the GD to find the optimal solution of the above optimization problem with error criterion is:
clear;
clc;
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You work at Mike's pizza shop. You have the following information about the 7 pizzas in the oven: 3 of the 7 have thick crust and 2 of the 3 thick crust pizzas have mushrooms. Of the remaining 4 pizzas, 2 have mushrooms. Choose a pizza at random from the oven. Make a two-way table to model this chance process.
make a Venn diagram to model this chance process.
4/7 is probability a two-way table to model this chance process.
What are examples and probability?
A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.
No events getting thick crust pizza and getting pizza with mushrooms are not disjoint as we can have pizza that has thick crust and mushroom both.
No events are not independent as
P(thick and having mushroom) is not equal to P(thick crust)*P(having mushroom)
P( thick and having mushroom) = 2/7
P(thick crust) = 3/7
P( having mushroom) = 4/7
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