x2 + y2 + 10x + 12y + 25 = 0
What is the center of this circle ?
What is the radius of this circle ?
units
Answers
Answer:
Center (- 5, - 6)
Radius 6 units
Step-by-step explanation:
x² + 10x + y² + 12y + 25 = 0
x² + 2*5*x + 5² + y² + 2*6*y + 6² - 5² - 6² + 25 = 0
(x + 5)² + (y + 6)² - 6² = 0
(x + 5)² + (y + 6)² = 6²
Center (- 5, - 6)
Radius 6 units
Related Questions
The radius of a circle is 7 cm.find its area to the nearest 10th
Answers
Answer:
A = 153.9 cm^2
Step-by-step explanation:
The formula for the area of a circle of radius r is A = (pi)(r)^2.
Here, with r = 7 cm, the area is A = (pi)(7 cm)^2 = 49(pi)(cm)^2, or (to the nearest 10th): A = 153.9 cm^2
what is the volume please answer and EXPLAIN YOUR answer
Answers
Answer:
2268mm^3
Step-by-step explanation:
To find the volume of the whole shape, an easier way would be to find the volume of each seperate prism and add them together.
The top/smaller prism has dimensions of 4mm x 3mm x 9mm.
Multiply together and you get (4mm x 3mm) x 9mm = 12mm x 9mm = 108mm
The bottom/bigger prism has the dimensions of 12mm x 9mm x 20mm
Multiply together and you get (12mm x 9mm) x 20mm = 108mm X 20mm = 2160mm
Add 108mm + 2160mm and you get the final volume of 2268mm^3
*Because you're working with volume you always add a ^3 after your measurement (units cubed)
The mean age of 5 people in a room is 40 years.
A person enters the room.
The mean age is now 37.
What is the age of the person who entered the room?
Answers
Answer:
22years
Step-by-step explanation:
The sum of ages of people in the room is 40 * 5= 200
[ Remember mean = total ahead of people/ number of people]
Let the age of the 6th person be X
200+x. / 6 = 37
200 + x = 37 * 6 = 222
x = 222- 200 = 22
In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6967 subjects randomly selected from an online group involved with ears. There were 1331 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than 20%. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.
Answers
Answer:
[tex]z=\frac{0.191 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6967}}}=-1.878[/tex]
Now we can find the p value using the alternative hypothesis and with the following probability:
[tex]p_v =P(z<-1.878)=0.0302[/tex]
We see that the p value is higher than the significance level of 0.01 so then we FAIL to reject the null hypothesis and there is NOT enough evidence to conclude that the return rate is less than 20% at 1% of significance
Step-by-step explanation:
Information given
n=6967 represent the random sample selected
X=1331 represent the surveys returned
[tex]\hat p=\frac{1331}{6967}=0.192[/tex] estimated proportion of return rate
tex]p_o=0.2[/tex] is the value to verify
[tex]\alpha=0.01[/tex] represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We test the claim that the return rate is less than 20%, then the system of hypothesis are:
Null hypothesis:[tex]p\geq 0.2[/tex]
Alternative hypothesis:[tex]p < 0.2[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{0.191 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6967}}}=-1.878[/tex]
Now we can find the p value using the alternative hypothesis and with the following probability:
[tex]p_v =P(z<-1.878)=0.0302[/tex]
We see that the p value is higher than the significance level of 0.01 so then we FAIL to reject the null hypothesis and there is NOT enough evidence to conclude that the return rate is less than 20% at 1% of significance
When faced with needing additional money during college which is option is NOT true?
Answers
The options to the questions are:
A. Taking on a job can cut into study time
B. Paying with credit cards can end up conting more money
C. Paying with additional loans can lead to connections and opportunities
D. Taking on a job can make connections that lead to opportunities
Answer:
C. Paying with additional loans can lead to connections and opportunities
Step-by-step explanation:
When faced with needing additional money during college, an individual may chose to take on job so to get extra money to finance his or her needs. However, such venture often leads to redcution in study time, as working on jobs will also needs it own time of execution.
Also, paying for financial needs during college days with credit card can lead to counting more money on the card. This implies that one can accumulate credit card rewards which can be in form of cashback, or points from certain purchases when using credit card.
More so, taking a job during college days, will definitely brings connections with different people, and thereby leads to opportunities.
However, paying with additional loans will never lead to connections and opportunities, but rather more debt, that the debtor will have to pay, which may take months or years. And it can only be a burden on the debtor.
Hence, when faced with needing additional money during college the option that is NOT true is Paying with additional loans can lead to connections and opportunities
Select all the ordered pairs that are in the solution set for the inequality graphed below.
Question 2 options:
(0, 0)
(1, -2)
(-2, 3)
(1, 6)
Answers
Answer:
(0,0)
Step-by-step explanation:
I think thats the only answer because the line goes through that point.
In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use the number to simulate the weather in the video game
Answers
Answer:
If the integer is in the range 1–15, then the weather could be declared rainy
Step-by-step explanation:
Assuming the integers are uniformly distributed 15 of them will constitute 30% of the possible integer. If the integer is in the range 1–15, then the weather could be declared rainy. That would make the probability of rain 30%, as required.
What is the area of the shaded region between the two z-scores indicated in the standard normal curve shown below. z=-1.23 z=0.83
Answers
Answer:
Correct option A: 0.6874
Step-by-step explanation:
Hello!
To calculate the area within the interval [-1.23; 0.83], you have to subtract to the probability accumulated till the lower value to the probability accumulated to the higher value, symbolically:
P(Z≤0.83)-P(Z≤-1.23)
You have to use the Z table to look for the corresponding values of probability. The negative value is in the left entry and the positive value is in the right entry. The first column shows the integer and first decimal value, the second decimal value is in the first row, you cross both values and find the value of probability.
P(Z≤0.83)-P(Z≤-1.23)= 0.7967 - 0.1093= 0.6874
I hope it helps!
Please help
There are 7 seats in the first row of a theater, 9 seats in the second row, and 11 seats in the third row. This pattern continues for each row in the theater. Write a rule for an, the number of seats in the nth row.
Answers
Answer:
an=n+2
Step-by-step explanation:
2. Medusa is looking for a TV screen big enough for her
and her head of snakes to enjoy her favorite soap opera.
Mngotoxo.
G TV is listed as being 60 inches. This
distance is act|ially the diagonal distance across the
screen. If thereen measures 36 inches in height, what
is the actual width of the screen to the nearest tenth of
an inch?
Answers
Answer:
48 Inches
Step-by-step explanation:
The diagonal of the TV = 60 Inches
Height of the Screen =36 Inches
We are to determine the actual width of the screen.
This TV across the diagonal forms a right triangle in which the diagonal is the hypotenuse.
We therefore use the Pythagorean Theorem to solve for the width of the screen.
Pythagorean Theorem: [tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]
Let w be the width of the television
[tex]60^2=36^2+w^2\\w^2=60^2-36^2\\w^2=2304\\w=\sqrt{2304}\\ $Width of the television, w=48 inches[/tex]
There are 4,500 pounds of fruit in john’s store. 1200 pounds of the fruit is apples and half as much is mangoes. The weight of pears is three times the weight of mangoes. If the rest of the fruits are grapefruits, what is the total weight of grapefruits?
Answers
Answer:
the total weight of the grapefruits is 2100 pounds
Step-by-step explanation:
apples = a
mangoes = a/2
weight of pears=3*a/2
grapefruits=g
a+a/2=1200
3/2a=1200
1.5a=1200
a=800
800+400+1200+g=4500
g=2100
Therefore, the total weight of the grapefruits is 2100 pounds
I hope this helped and have a good rest of your day!
What is 9/7-6/10 equals
Answers
Answer:
48/70 or24/35
Step-by-step explanation:
9/7-6/10 u find the LCD or lowest common denominator. 90/70-42/70=48/70=24/35
Answer:
24/35
Step-by-step explanation:
9/7 - 6/10
Simplify 6/10 by dividing the top and bottom by 2
9/7 - 3/5
The common denominator is 7*5 = 35
9/7 * 5/5 - 3/5 *7/7
45/35 - 21/35
24/35
Rearrange the equation so u is the independent variable.
-12u + 13 = 8w - 3
y = __
15 POINTS HELP ME !
Answers
Answer: U = 8w-16/-12
Step-by-step explanation:
-12u + 13 = 8w -3
-12u + 13 - 13 = 8w -3 -13
-12u = 8w -16
u = 8w - 16/ -12
First CORRECT answer WILL get Brainliest. I’m on a limited time so if you don’t know, don’t answer. No guesses, not what you think, accurate and correct answers. I apologize if I am coming off as rude, but I honestly don’t have the time to delete questions. Thank you in advance!
Answers
Answer:
Square feet of Carpeting : 136 ft^2
Step-by-step explanation:
Let us divide this figure into two shapes, each being rectangles;
Considering the first, smaller shape, with a given dimension of 7 feet we can see that the second dimensions is 13 - 9, ⇒ 4 feet
The Area of this part would thus be ⇒ 7 * 4 = 28 ft^2
Now this second figure is provided with dimensions 12 by 9 feet, so that the area would, by definition ⇒ length * width = 12 * 9 ⇒ 108 ft^2. The total area of this figure is, by Partition Postulate : 108 + 28 ⇒ 136 square feet
If Sara plans to carpet the room, clearly the carpeting's area should be equivalent to that of the area of the room. This would mean;
Square feet of Carpeting : 136 ft^2
A bag contains 7 red and 10 white balls. In how many ways 4 balls are selected if there are more than 2 red balls?
Answers
Answer:
2
Step-by-step explanation:
Well if 2 are red it can only be either
rrrr
or
rrrw
What was yesterday? Or tim
Answers
Answer:
Tuesday may 18 2020
Step-by-step explanation:
Find the coordinates of the reflection without using the coordinate plane.
Q (-3,5) over the y-axis.
Answers
Answer:
(3,5)
Step-by-step explanation:
in order to reflect over an axis, you put a negative in front of the opposite axis's coordinate.
in this case, you reflect over the y axis so you put a negative in front of the x coordinate. (--3,5) two negatives make a positive so you get (3,5)
If your'e going to ask a question here, you might as well just use a coordinate plane
If my answer helps, please give me brainliest, it helps a lot
Answer:
(3,5)
Step-by-step explanation:
if A is a square matrix such that A^2=2I,then A^-1=?
Answers
[tex]A^2=2I[/tex]
Recall that [tex]I=AA^{-1}=A^{-1}A[/tex], so
[tex]A^2=2(A^{-1}A)[/tex]
Multiply on the right by [tex]A^{-1}[/tex] and regroup terms:
[tex]A^2A^{-1}=2(A^{-1}A)A^{-1}[/tex]
[tex]A(AA^{-1})=2A^{-1}(AA^{-1})[/tex]
[tex]A=2A^{-1}[/tex]
and finally solve for [tex]A^{-1}[/tex]:
[tex]\boxed{A^{-1}=\dfrac12A}[/tex]
Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant. Ten percent of all plant employees work in the finishing department; 20% of all plant employees are absent excessively, and 7% of all plant employees work in the finishing department and are absent excessively.
1. If a plant employee is selected randomly, and F is the event "works in the finishing department," then P(F) = ________.
A. 0.07
B. 0.10
C. 0.20
D. 0.13
2. A plant employee is selected randomly; F is the event "works in the finishing department" and A is the event "is absent excessively." The probability of intersection of A and F, (P∩F) = __________.
A. 0.07
B. 0.10
C. 0.20
D. 0.23
Answers
Answer:
gvuhgvcgv
Step-by-step explanation:
hvhjbkuijbg
Solve the following: 2(5x-3)
Answers
Answer:
The vale of x is 3/5.
Step-by-step explanation:
First you have to expand out :
[tex]2(5x - 3)[/tex]
[tex] = 2(5x) - 2(3)[/tex]
[tex] = 10x - 6[/tex]
Next you have to solve it by adding 6 to both sides :
Let expression = 0,
[tex]10x - 6 = 0[/tex]
[tex]10x - 6 + 6 = 0 + 6[/tex]
[tex]10x = 6[/tex]
[tex]x = \frac{6}{10} [/tex]
[tex]x = \frac{3}{5} [/tex]
A store offers four different brands of a product. It decides to eliminate one
brand based on the likelihood a customer will return that brand. The table
shows the number of items of each brand that were returned over the past
year and the total sold.
Returns
Brand A
Total sold
343
17
Brand B
14
180
Brand C
16
383
Brand D
8
246
Which brand should the store consider eliminating?
A. Brand A
B. Brand B
C. Brand C
O D. Brand D
Please help me !!!!
Answers
Answer:
B. Brand B
Step-by-step explanation:
[tex]\left|\begin{array}{cccc}$Brand&$Total Sold&$Returns&$Probability of Returns\\---&---&---&---\\$Brand A&343&17&\dfrac{17}{343}=0.0496 \\\\$Brand B&180&14&\dfrac{14}{180}=0.0778 \\\\$Brand C&383&16&\dfrac{16}{383}=0.0418\\\\$Brand D&246&8&\dfrac{8}{246}=0.0325\\&&&\end{array}\right|[/tex]
We can see from the table above that the experimental probability of returns of Brand B is the highest, therefore it has the highest likelihood of being returned.
The store should consider eliminating Brand B.
Answer:
B.) Brand BStep-by-step explanation:
I need the answer to number 9. Please! And if you have answers to the other questions;sharing them would be greatly appreciated. :D
Answers
Answer:
the correct answer for 9 is A) N 3-
Step-by-step explanation:
if your shadow is twice your height, what is the angle of elevation of the sun?
A. The angle of elevation is about 27°
B. The angle of elevation is 30°
C. The angle of elevation is 60°
D. The angle of elevation is 63°
Answers
Answer:
The angle of elevation is about 27°
Step-by-step explanation:
Let's view this case in the form of a right angled triangle. With the original height as the opposite side to the elevation angle and the shadow length as the adjacent side.
Let x represent the original height
2x is the length of shadow
And θ the angle of elevation
Applying trigonometry;
Tan θ = opposite/adjacent = original height/shadow length
Substituting the values;
Tan θ = x/2x
Tan θ = 1/2
θ = taninverse(1/2)
θ = 26.56505117707
θ ≈ 27°
Elevation angle is approximately 27°
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answers
Answer:
C. F(x) = [tex]4x^2 + 1[/tex]
Step-by-step explanation:
The altered function on the graph has shifted upwards by 1 unit from a +1. It also got narrower, and this is from a number that's greater than 1 in front of x.
What is the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78?
Answers
Answer:
residual cost = $24.57
Step-by-step explanation:
The residual is the difference between the observed value of y and the predicted value of y. The least square regression equation was used to predict cost in dollars per barrel of jet fuel from the cost , in dollars ,per barrel of crude oil. The residual value is the difference between the observed or measured value and the predicted value of the regression model . The predicted value is gotten from the regression equation.
y = 2 + 6/7 x
where
x = cost of a barrel of crude oil
x = $60
y = 2 + 6/7 × 60
y = 2 + 360/7
y = 2 + 51.4285714286
y = 53.4285714286
y = $53. 43
predicted cost = $53. 43
Measured cost = $78
residual = observed value - predicted value
residual = 78 - 53.43
residual cost = $24.57
The residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78 is $24.57
What is the residual value?The residual value is the difference between the observed or measured value and the predicted value of the regression model.
Given that a barrel of crude oil costs $60 and a barrel of jet fuel costs $78.
According to the question, we have;
y = 2 + 6/7 x
where x = the cost of a barrel of crude oil
x = $60
Substitute;
y = 2 + 6/7 × 60
y = 2 + 360/7
y = 2 + 51.4285714286
y = 53.4285714286
y = $53. 43
The predicted cost is $53. 43
Measured cost = $78
Then the residual = observed value - predicted value
The residual = 78 - 53.43
Residual cost = $24.57
Hence, the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78 is $24.57
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ5
The complete question is
The residual is the difference between the observed value of y and the predicted value of y. The least square regression equation was used to predict the cost in dollars per barrel of jet fuel from the cost, in dollars, per barrel of crude oil. The predicted value is gotten from the regression equation. What is the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78?
Jameson collects eggs from his chickens every day. The graph shows the approximate number of eggs Jameson collects over a couple of days.
What does 4.54 mean in this situation?
a. Jameson has 4 or 5 chickens.
b
Jameson collects about 4 or 5 eggs per day.
C
It takes 4.5, point, 5 days for Jameson to collect an egg.
Answers
Answer:
B
Step-by-step explanation:
Khan
help a sistah, follow their instah: emventures666
plz give brainliest oh wait nevermind-
Answer:
The answer is B
Step-by-step explanation:
I just got it right
Solving for x and y
Answers
Answer:
105/13 = x ; 64/13 = y
Step-by-step explanation:
12x + 2 = y + 94 --> 24x + 4 = 2y + 188
11x + 12 = 2y + 91 -->
13x - 8 = 97 -->
13x = 105 -->
105/13 = x -->
64/13 = y
What’s the correct answer for this?
Answers
Answer:
A.
Step-by-step explanation:
In the attached file
Is the quotient of 5 and 1/2 greater than or less than 5? Explain your answer in complete sentences.
Answers
Answer: Greater than 5
Step-by-step explanation:
The quotient of 5 and .5 is 10.
5/0.5 = 10
Whenever you divide a whole number by a fraction, the quotient will always be larger than the whole number
Ruth has pennies and dimes in her pocket. The number of dimes is twelve less than twice the number of pennies. Let p represent the number of pennies. Write an expression for the number of dimes.
Answers
I hope that helps!