Answer:
Can't Factor
Step-by-step explanation:
This is no solution.
Find an equation of the circle that has center (-6, 6) and passes through (3,-4)
Answer:
(x+6)² + (y-6)² = 181
Step-by-step explanation:
equation of the circle in general is (x - a)² + (y - b)² = r²
center is (a, b) in our task a=-6 b=6
so equation of the circle is (x+6)² + (y-6)² = r²
we have point (3,-4) ⇒ x=3 y=-4
put x y in equation of the circle ⇒ (3+6)² + (-4-6)² = r² ⇒r² =181
⇒The equation of a circle is (x+6)² + (y-6)² = 181
Answer:
x²+ y² - 109 = 0
Step-by-step explanation:
The coordinate of centre of circle = (-6 , 6)
Point through which it passes = (3 , -4)
So , Firstly find the distance between the centre and that point that will be equal to the radius . Using Distance Formula we have ,
⇒ D = √ [ ( x - x' )² + ( y + y')² ]
⇒ D = √ [ (3+6)² + (6+4)² ]
⇒ D = √ [ 9² + 10² ]
⇒ D = √ [ 81 + 100 ]
⇒ D = √ 181
⇒ D = 13.45 .
Now substituting the respective values in the general equation of circle .
⇒ ( x - h)² + (y - k)² = r²
Where (h,k) is the centre and r is the radius.⇒ { x - (-6) }² + { y - (6) }² = (13.45)²
⇒ ( x + 6 )² + ( y - 6)² = 13.45²
⇒ x² + 36 + 12x + y² + 36 -12x = 181
⇒ x² + y² + 72 = 181
⇒ x² + y² + 72 - 181 = 0
⇒ x² + y² - 109 = 0
Therefore the equation of the circle is x² + y² - 109 = 0 .A bag contains 18 balls. There are 6 red balls, 6 yellow balls, and 6 green balls. A ball is drawn at random and returned. Then another ball is drawn at random. Select ALL statements that are true.
A. The expected probability of drawing a green ball first is the same as the expected probability of drawing a green ball second.
B.There are six possible outcomes.
C.The probability of drawing a red ball first is the same as not drawing a red ball second.
D.The expected probability of drawing a red ball and then a yellow ball is 19.
Answer:
There are 18 balls in the bag:
6 are red
6 are yellow
6 are green.
A ball is drawn at random and then returned.
Then another ball is drawn.
Now, let's analyze each option and let's see if it is true or not.
A) The probability of drawing at random a green ball is equal to the quotient between the number of green balls and the total number of balls.
Then for the first draw, the probability is 6/18
Because the drawn ball is returned, for the second draw we still have 6 green balls and 18 balls in total, then the probability still is 6/18
Statement A is true
B) if we define the notation:
YR
as:
Yellow in the first draw, red in the second draw.
The possible outcomes are:
YR
YG
YY
RR
RG
RY
GR
GG
GY
So we have a total of 9 outcomes, we also can calculate this in the following way:
For the first event (first draw) we have 3 possible outcomes (Y, G, and R)
For the second event (second draw) we have again 3 possible outcomes.
The total number of outcomes is the product between the possible outcomes for each event, this is:
3*3 = 9
Then statement B is false.
C) The probability of drawing a red ball first is:
p = 6/18
The probability of NOT drawing a red ball second, is equal to the probability of drawing a yellow or green ball second (we have 12 balls that are green or yellow, and 18 total balls) then this probability is:
q = 12/18
The probabilities are different, then we can conclude that statement C is false.
fD) The expected probabilty of drawing a red ball and then a yellow ball is the product of the individual probabilities, this is:
prob of drawing a red ball first = 6/18
prob of drawing a yellow ball second = 6/18
Joint probability:
P = (6/18)*(6/18) = (1/3)*(1/3) = 1/9
So statement D is true. (it says 19, i suppose that there is a mistake in this sentence and it actually should say 1/9)
What is the area of the shaded region in the given circle in terms of pi and in simplest form?
A) (120pi + 6 sqrt 3) m^2
B) (96pi + 36 sqrt 3) m^2
C) (120pi + 36 sqrt 3) m^2
D) (96pi + 6 sqrt 3) m^2
Answer:(120pi +6 square root 3) msquared
Step-by-step explanation:
Each week for 6 weeks, Ezra bought 2 DVDs: a reduced price DVD for $5.50 and a regular price DVD for $9.00. Select all the expressions that represent the total amount he spent on DVDs
Answer:
Total amount spend on DVD = $87
Step-by-step explanation:
Given:
Total number of week = 6 week
Number of DVD purchase per week = 2
Cost of reduced price DVD = $5.50
Cost of regular price DVD = $9
Find:
Total amount spend on DVD
Computation:
Total amount spend each week = Cost of 1 reduced price DVD + Cost of 1 regular price DVD
Total amount spend each week = 5.5 + 9
Total amount spend each week = $14.5
Total amount spend on DVD = Total number of week x Total amount spend each week
Total amount spend on DVD = 6 x 14.5
Total amount spend on DVD = $87
Joe is wrapping a birthday present in a box that is 21 inches long, 14.5 inches wide, and 9 inches high. All sides of the box must be covered. What is the surface area that must be covered by wrapping paper? *
Answer:
2740.5
Step-by-step explanation:
This is what I got why I did was multipley them
Answer:
2740.5
Step-by-step explanation:
This is what I got when I multipled
Are the triangles shown below similar to one another?
Answer:
yes
Step-by-step explanation:
...............................
A 6ft tall person casts an 18ft shadow. At the same time, a tree casts a 74 ft shadow. What is the actual height of the tree?
Answer:
24 2/3 feet
Step-by-step explanation:
If the shadow makes is 3 times longer, then the height of the tree is 74/3
74/3 = 24 2/3
I need help also, how do I choose the brainiest? and how do I also give people gems?
Answer:
x=9
Step-by-step explanation:
Answer:
uhh x=9
Step-by-step explanation:
you choose brainliest by pressing a button that looks like a crown below somones answer that will give them extra points. and i have never heard of gems in brainly.
please answer if you know the answer
Answer:
2:5, 5:2
Step-by-step explanation:
Lets use 30 and 12. 12 divided by 30 is 0.4, which reduced is 2:5, or u can write 0.4. Thats oil to flour
But opposite numbers for flour to oil, bc of common sense.
Hope this helps(would be appreciated if you mark this answer brainliest bc need for lvl up. )
What is m∠1? help me please
Answer:
m∠1=111°
Step-by-step explanation:
Since angle 1 is an exterior angle on a straight line, it is the sum of the two outer angles of the triangle.
64+47=111.
Simplify the mathematical expression below.
Answer:
Step-by-step explanation:
What is the image of (−7,−8) after a dilation by a scale factor of 44 centered at the origin?
Answer:
(-308, -352)
Step-by-step explanation:
For a dilation from the origin, you multiply the x and y by the scale factor.
-7 * 44 = -308
-8 * 44 = -352
(-308, -352)
two consecutive numbers if the smallest is 11
Let two consecutive numbers are : x,x+1
Sum of these numbers is -11, then
x+x+1=−11
⇒2x=−11−1=−12
⇒x=−6
and other consecutive number is x+1=−6+1=−5
The answer is -6 and −5
pls help, The graph shown below shows the relationship between average heart rate (in beats per minute) of several
mammal species and their life expectancy (in years)
Answer:
The answer is Nonlinear Association
Hi There Answer Nonlinear Association
Step-by-step explanation:
[tex]\frac{33}{4-\sqrt{5\\} }[/tex]
Answer:
[tex]12+3\sqrt{5}[/tex]
Step-by-step explanation:
[tex](\frac{33}{4-\sqrt{5}})(\frac{4+\sqrt{5}}{4+\sqrt{5}})=\frac{132+33\sqrt{5}}{16-5}=\frac{11(12+3\sqrt{5})}{11}=12+3\sqrt{5}[/tex]
Devon’s tennis coach says that 72% of Devon’s serves are good serves. Devon thinks he has a higher proportion of good serves. To test this, 50 of his serves are randomly selected and 42 of them are good. To determine if these data provide convincing evidence that the proportion of Devon’s serves that are good is greater than 72%, 100 trials of a simulation are conducted. Devon’s hypotheses are: H0: p = 72% and Ha: p > 72%, where p = the true proportion of Devon’s serves that are good. Based on the results of the simulation, the estimated P-value is 0.06. Using Alpha= 0.10, what conclusion should Devon reach?
Group of answer choices
Because the P-value of 0.06 < Alpha, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.
Because the P-value of 0.06 < Alpha, Devon should fail to reject Ha. There is convincing evidence that the proportion of serves that are good is greater than 72%.
Because the P-value of 0.06 < Alpha, Devon should fail to reject Ha. There is not convincing evidence that the proportion of serves that are good is greater than 72%.
Because the P-value of 0.06 < Alpha, Devon should reject H0. There is not convincing evidence that the proportion of serves that are good is greater than 72%.
Answer:
Because the P-value of 0.06 < a, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.
Step-by-step explanation:
Right on edge 2022
The conclusion is (a) Because the P-value of 0.06 < Alpha, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.
How to determine the conclusion?The given parameters are:
Null hypothesis H0: p = 72% Alternate hypothesis Ha: p > 72%,p value = 0.06α = 0.10By comparison, the p-value is less than the alpha value
i.e. 0.06 <0.10
When the p-value is less than the alpha value, the null hypothesis is rejected.
Hence, the conclusion is (a)
Read more about hypothesis tests at:
https://brainly.com/question/15980493
What are the steps to solving this?
Answer:
m = 6[tex]\sqrt{3}[/tex] , n = 6
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{m}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2m = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
m = 6[tex]\sqrt{3}[/tex]
and
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{n}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2n = 12 ( divide both sides by 2 )
n = 6
0=pi/4 radians identify the terminal point and tan 0.
a. terminal point (2square/2,2square/2); tan0=1
b.terminal point (square3/2,1/2);tan0=square3/3
c.terminal point (2square/2,square2/2);tan0=1/2
d.terminal point (1/2,3square/2);tan=3square
Answer:A
Step-by-step explanation: I did the quiz
The terminal point of the 0=pi/4 is (2/√2 and 2/√2) and the value of tan0 is 1.
What is a terminal point?The terminal point of a circle or circular path is the measure of the angle in degrees or radians over the circle, at the endpoint on the coordinate plane.
The equation for the angle is given as,
[tex]\theta=\dfrac{\pi}{4}\rm radians[/tex]
The terminal point and tan 0 has to be found out.As, the value of pi is 180 degrees. Put this value in the above expression as,
[tex]\dfrac{\pi}{4}=\dfrac{180}{4}=45^o[/tex]
Now, as the rotation of it clockwise from the x-axis in quadrant 1to get the degrees of the angle to the terminal point.
Let this is unit circle with radius 1. Therefore, from the unit circle attached below,
[tex]y=\sin(45)\times1=\dfrac{2}{\sqrt{2}}\\x=\cos(45)\times1=\dfrac{2}{\sqrt{2}}[/tex]
[tex]\tan (45)=1[/tex]
Hence, the terminal point of the 0=pi/4 is (2/√2 and 2/√2) and the value of tan0 is 1.
Learn more about the terminal point here;
https://brainly.com/question/4256586
(WIll mark as brainliest) Which one of these graphs is a function and why and why not?
which angles are complementary to eachother
Answer:
1 and 5 are complementary angles
Step-by-step explanation:
A complementary angle is either of two angles whose sum is 90, meaning two opposite angles that add up to 90 degrees.
If you look at angle 3, you see that it is a right angle which is 90 degrees already so any answer containing 3 and another angle is incorrect.
Why 1 and 5 is the correct answer:
the angles 1 and 2 are right next to 3 which is a 90-degree angle, meaning that 1 and 2 add up to 90. angle 5 is opposite of 2 which means that angle 5 and 2 are equal.
So the 1 and 5 would add up to 90, making it the right answer.
Hope this helps you :)
A casserole recipe calls for 8 ounces of cheese. Adrian wants to use 1/2 of the amount of cheese in his casseroles.
How many pounds of cheese does he need to make 22 casseroles with his revised recipe?
Answer:
88 Ounces
Step-by-step explanation:
1/2 of 8 is 4. 22 times 4 is 88.
pls show work will give brainliest
Solve the formula for the variable x.
y=mx+b
no link! Just pls answer
✧･ﾟ: *✧･ﾟ:* Answer: *:･ﾟ✧*:･ﾟ✧
✅ A. 120cm ^3
I WOULD APPRICIATE BRAINLIEST!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
Answer:
3769.91
PS: it is probably wrong!
One endpoint of a line segment has coordinates represented by (x + 2, 3y). The midpoint of the line segment is (6, -3). How are the coordinates of the other endpoint expressed in terms of x and y? O (10 – r, y) O (10 - 1,-6-y) (12 - 2,6 - 3y) (14 – 1,3 - y) 1 2 3 4 5 Next
Use the distributive property to expand (simplify): 5(12mu - 7v)
Answer:
60mu - 35vStep-by-step explanation:
You disturbute 5 into the 12 and add mu and your answer and distribute 5 into the 7 and keep the v with your answer.Hopes this works.[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\textsf{The \textbf{distributive property} states the following:}[/tex]
[tex].\qquad\bullet\sf{a(b+c)=ab+ac}[/tex]
[tex]\textsf{So we take a number or a variable \textbf{a} and distribute it by multiplying it times b and c}[/tex]
[tex]\textsf{Now we simplify.}[/tex]
[tex]\textsf{5(12mu-7v)=5*12mu-5*7v=60mu-35v}[/tex]
[tex]\Large\textsf{\textbf{Answer: 60mu-35v}}[/tex]
[tex]\Large\overbrace{\underbrace{\boldsymbol{Reflection - RoSe}}}^\star_\star[/tex]
hey ma i need your help on this plz and ill give you a branist or wtv its called
Hi there!
[tex]\large\boxed{\text{ sum = 180(n - 2)}}[/tex]
This is the formula for finding the sum of interior angles for a polygon with a number of sides "n".
We can also prove this from the table:
Triangle ⇒ 3 sides: 180(3 - 2) = 180°
Quadrilateral ⇒ 4 sides: 180(4 - 2) = 360°
Pentagon ⇒ 5 sides: 180(5 - 2) = 540°
...And so forth. We can write this as for any polygon with "n" sides:
180(n - 2) = sum (°)
Can someone please help me with this math problem:):)
Answer:
i dont understand
Step-by-step explanation:
Write a recursive sequence that represents the sequence defined by the
following explicit formula:
An = 1 - 5(n − 1)
Answer:
[tex]a_1=1\\a_n=a_{n-1}-5[/tex]
Step-by-step explanation:
a₁ = 1 - 5(1 - 1) = 1 - 5·0 = 1
a₂ = 1 - 5(2 - 1) = 1 - 5·1 = 1 - 5 = a₁ - 5
a₃ = 1 - 5(3 - 1) = 1 - 5·2 = 1 - 5 - 5 = a₂ - 5
a₄ = 1 - 5(4 - 1) = 1 - 5·3 = 1 - 5 - 5 - 5 = a₃ - 5
and so on, therefore:
aₙ = aₙ₋₁ - 5Here are the prices (in thousands) for 10 houses for sale in a local neighborhood: 285,288,289,290,299,300,308,309,312,314 . Which measure should be used to summarize the data
Answer:
Mean and Median
Step-by-step explanation:
Given the data :
285,288,289,290,299,300,308,309,312,314
To summarize the data using a measure of centre, considering that the dataset doesn't show a great deal of variation we could use either the mean or median value.
The mean, x = Σx / n
n = sample size = 10
Σx = 2994 ; n = 10
x = 2994 / 10 = 299.4
Also the median value ;
1/2 * (n + 1)th term
1/2 * (10 + 1)th term
1/2 * 11
= 5.5 th term
= (5 + 6)th / 2
= (299 + 300) / 2
= 299.5
LLEASE PLEASE I NEED HELP!!! I’ll mark brainliest
Answer:
It would be the first answer
Step-by-step explanation:
At the bottom of each graph is the starting point and you can see the red graph starts at 0 where the other does not
Answer:
The graphs make it appear that Cool Cars' prices are much greater, but they are only a little bit greater.
Step-by-step explanation:
hope this helps and is right. p.s. i really need brainliest :)
if this is wrong, then i am incredibly sorry!