Answers
Answer:
the smallest circle one
center => (0,1)
radius = √3 = 1.73
Graph C best represents the equation x² + (y-1)²=3². The given equation is compared by the standard equation to form a graph.
What is the equation for a circle centered at (x,y) with a radius of r units?If a circle O has a radius of r units and its center is at (h, k) in the coordinate plane, then its equation is:
(x-h)^2 + (y-k)^2 = r^2
The given data equation is;
x² + (y-1)²=3²
Compare the standard equation with the given equation, we get;
h=0
k=1
r=3
Graph C best represents the equation x² + (y-1)²=3².
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Related Questions
Determine all prime numbers a, b and c for which the expression a ^ 2 + b ^ 2 + c ^ 2 - 1 is a perfect square .
I need the answer step by step
Answers
Answer:
The family of all prime numbers such that [tex]a^{2} + b^{2} + c^{2} -1[/tex] is a perfect square is represented by the following solution:
[tex]a[/tex] is an arbitrary prime number. (1)
[tex]b = \sqrt{1 + 2\cdot a \cdot c}[/tex] (2)
[tex]c[/tex] is another arbitrary prime number. (3)
Step-by-step explanation:
From Algebra we know that a second order polynomial is a perfect square if and only if [tex](x+y)^{2} = x^{2} + 2\cdot x\cdot y + y^{2}[/tex]. From statement, we must fulfill the following identity:
[tex]a^{2} + b^{2} + c^{2} - 1 = x^{2} + 2\cdot x\cdot y + y^{2}[/tex]
By Associative and Commutative properties, we can reorganize the expression as follows:
[tex]a^{2} + (b^{2}-1) + c^{2} = x^{2} + 2\cdot x \cdot y + y^{2}[/tex] (1)
Then, we have the following system of equations:
[tex]x = a[/tex] (2)
[tex](b^{2}-1) = 2\cdot x\cdot y[/tex] (3)
[tex]y = c[/tex] (4)
By (2) and (4) in (3), we have the following expression:
[tex](b^{2} - 1) = 2\cdot a \cdot c[/tex]
[tex]b^{2} = 1 + 2\cdot a \cdot c[/tex]
[tex]b = \sqrt{1 + 2\cdot a\cdot c}[/tex]
From Number Theory, we remember that a number is prime if and only if is divisible both by 1 and by itself. Then, [tex]a, b, c > 1[/tex]. If [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] are prime numbers, then [tex]2\cdot a\cdot c[/tex] must be an even composite number, which means that [tex]a[/tex] and [tex]c[/tex] can be either both odd numbers or a even number and a odd number. In the family of prime numbers, the only even number is 2.
In addition, [tex]b[/tex] must be a natural number, which means that:
[tex]1 + 2\cdot a\cdot c \ge 4[/tex]
[tex]2\cdot a \cdot c \ge 3[/tex]
[tex]a\cdot c \ge \frac{3}{2}[/tex]
But the lowest possible product made by two prime numbers is [tex]2^{2} = 4[/tex]. Hence, [tex]a\cdot c \ge 4[/tex].
The family of all prime numbers such that [tex]a^{2} + b^{2} + c^{2} -1[/tex] is a perfect square is represented by the following solution:
[tex]a[/tex] is an arbitrary prime number. (1)
[tex]b = \sqrt{1 + 2\cdot a \cdot c}[/tex] (2)
[tex]c[/tex] is another arbitrary prime number. (3)
Example: [tex]a = 2[/tex], [tex]c = 2[/tex]
[tex]b = \sqrt{1 + 2\cdot (2)\cdot (2)}[/tex]
[tex]b = 3[/tex]
ssssssssssssssssssppppppppddddddddddddddde
Answers
Answer:
the common denominator of those two fraction is 15.
stay safe healthy and happy.What is the volume of a regular triangular pyramid with an apothem of 2.3ft, a side length of 8ft and a height of 25 feet
Answers
230FT
Regular tetrahedron
Solve for volume
V≈1.15×107
Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.
lent receives per day?
A patient is receiving a normal saline solution, infusing continuously at 80 ml/hr IV, and a tube feeding formula,
Glucerna, infusing continuously at 50 ml/hr. What is the total amount of fluids infused per day?
Answers
Answer:
The total amount of fluids infused per day is 3,120 ml.
Step-by-step explanation:
Given that a patient is receiving a normal saline solution, infusing continuously at 80 ml / hr, and a tube feeding formula, Glucerna, infusing continuously at 50 ml / hr, to determine what is the total amount of fluids infused per day the following calculation must be done:
(80 x 24) + (50 x 24) = X
1,920 + 1,200 = X
3.120 = X
Therefore, the total amount of fluids infused per day is 3,120 ml.
Find 14.32 ÷ 3.5. Round your answer to the nearest hundredth.
Answers
Answer: 4.09
Step-by-step explanation:
4.09142857 rounded to the nearest hundredth is: 4.09
A={the letters of the word ,HIPPOPOTAMUS}
Answers
•ω• Hewo fren!
☆☆●◉✿Answer:✿◉●☆☆
The letters of hippopotamus is H-I-P-P-O-P-O-T-A-M-U-S
☆☆●◉✿Step-by-step explanation:✿◉●☆☆
I’m sowy, I didn’t really understand your question... did you want to learn about a hippopotamus? If so, please tell me in the comments I would answer there too!
HOPE I HELPED! ∧∧
→⇒brainliest please? ∑(OΔO )♥♥︎
What are 3 combinations to equal the total
Answers
Answer:
1x 2x 3x
Step-by-step explanation:
What’s the answer ?
Answers
Answer:
c
Step-by-step explanation:
I cannot see the whole picture. some numbers are cut off.
but just by making the calculating for the top-left corner we can see the only possible right answer.
so, top-left corner of A = 4 and of B = 7.
therefore, the top-left corner of the result matrix is then according to -2×A + 7×B
-2×4 + 7×7 = -8 + 49 = 41
the only solution option with 41 in the top-left corner is c.
Pls help extra points and mark brainlist
Answers
Answer:
12
Step-by-step explanation:
The range is the difference from the greatest data point and the least data point. By looking at the box plot, the lowest value would be 0 while the highest would be 12. You use the definition of range to find it:
12 - 0 = 12
i will give a brainlist and like please help me....
but if it is not true answer i will report
Answers
Answer:
1.6m is the answer
Step-by-step explanation:
Answer: so you can give branliest to the other guy
Step-by-step explanation:
GIVING BRAINLIEST FOR CORRECT ANSWER WITH EXPLANATION
Answers
Answer:
Step-by-step explanation:
THE ANSWER IS : C
=
2
π
r
=
2
π
71
≈
446.10616
there are 32 students at a pizza party. each students ate 1/4 pizza how many whole pizzas did the students eat altogether?
Answers
Answer:
8
Step-by-step explanation:
(x^5-y^5) divided (x-y)
See in the picture I have done till here but can anyone tell me next step
Answers
Answer:
[tex]\frac{x^6-yx-y^5}{x}[/tex]
Step-by-step explanation:
x^5-y^5 divided x-y
[tex]\frac{(x^5-y)x}{x} -\frac{y^5}{x}[/tex]
[tex]\frac{(x^5-y)x-y^5}{x}[/tex]
=> [tex]\frac{x^6-yx-y^5}{x}[/tex]
move two choices to the blanks to correctly complete the sentences.
Answers
Answer:
(A) There should have been 5 outcomes of HT
(B) The experimental probability is greater than the theoretical probability of HT.
Step-by-step explanation:
Given
[tex]S = \{HH,HT,TH,TT\}[/tex] -- Sample Space
[tex]n(S) = 4[/tex] --- Sample Size
Solving (a); theoretical outcome of HT in 20 tosses
First, calculate the theoretical probability of HT
[tex]P(HT) = \frac{n(HT)}{n(S)}[/tex]
[tex]P(HT) = \frac{1}{4}[/tex]
Multiply this by the number of tosses
[tex]P(HT) * n= \frac{1}{4} * 20[/tex]
[tex]P(HT) * n= 5[/tex]
Solving (b); experimental probability of HT
Here, we make use of the table
[tex]P(HT) = \frac{n(HT)}{n(S)}[/tex]
[tex]P(HT) = \frac{6}{20}[/tex]
[tex]P(HT) = 0.30[/tex] ---- Experimental Probability
In (a), the theoretical probability is:
[tex]P(HT) = \frac{1}{4}[/tex]
[tex]P(HT) = 0.25[/tex] ---- Experimental Probability
By comparison;
[tex]0.30 > 0.25[/tex]
PLEASE HELP ME!! Kenji is traveling in Europe and renting a car. He is used to thinking of gasoline amounts in gallons, but in Europe it is sold in liters. After filling the gas tank, he notices it took 39 L of gas. How many gallons is that?
Answers
Answer:
10.30721
Step-by-step explanation:
This requires conversion, this is Liters to Gallons.
1 LITER= 0.26417205
so knowing this info. we just plug in
39 L = 10.30721 gallons
Hope this helped! :)
Last Friday, Jason purchased 12 packages of baseball cards. Each package contained 35 cards. If 1/7 of the cards featured pitchers, how many cards featured batters?
Answers
Answer: 360
Step-by-step explanation:
12 packages * 35 cards = 420 total cards.
1/7 of 420 = 420 * 1/7 = 60
if 60 cards were pitchers, then 420-60 = 360 cards were batters
Constant of Variation
For the function defined by y = 1/x², y varies inversely as what quantity?
a. x
b. 2x
c. y
d. x²
Please select the best answer from the choices provided
Answers
Answer:
D. x²
Step-by-step explanation:
I calculated it logically
if the length is 9 cm,breadth is 10 cm and volume of cuboid is 1800cm cube ,,find the height and total surface area of cuboid,
Answers
Answer:
the height is 20 cm.
tsa is 940 cm square
Step-by-step explanation:
volume of cuboid = l*b*h
1800 = 9*10*h
h= 20 cm
TSA = 2(L*B+ B*H + L*H)
= 2(9*10 + 10*20 + 9*20)
=940 cm square
The height of the cuboid will be 20 cm
The total surface area of cuboid will be 940 cm²
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The length of cuboid = 9 cm
The breadth of cuboid = 10 cm
And, The volume of cuboid = 1800 cm³
Now,
We know that;
Volume of cuboid = Length × Breadth × Height
⇒ 1800 = 9 × 10 × h
⇒ 1800 / 90 = h
⇒ h = 20 cm
And, The total surface area of cuboid = 2lw + 2lh + 2hw
Substitute all the values, we get;
⇒ The total surface area of cuboid = 2 (9 × 10 + 9 × 20 + 20 × 10)
= 2 (90 + 180 + 200)
= 2 × 470
= 940 cm²
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The diagram shows a cylindrical tank.
The radius is 30 cm and the height is 80 cm.
(a) Calculate the area of the base of the tank.
(b) Calculate the volume of the tank in litres.
Answers
Step-by-step explanation:
a) A=π302=900π CM2 =2,827 CM 2
b) V=Ah=900=72000 π cm 3 = 226,195 cm3
Let x stand for the percentage of an individual student's math test score. 64 students were sampled at a time. The population mean is 78 percent and the population standard deviation is 14 percent. What is the standard deviation of the sampling distribution of sample means?
Answers
Answer:
[tex]\sigma_x= 1.75\%[/tex]
Step-by-step explanation:
Given
[tex]n = 64[/tex]
[tex]\mu = 78\%[/tex]
[tex]\sigma = 14\%[/tex]
Required
The sample standard deviation
This is calculated as:
[tex]\sigma_x= \frac{\sigma}{\sqrt n}[/tex]
This gives:
[tex]\sigma_x= \frac{14\%}{\sqrt {64}}[/tex]
[tex]\sigma_x= \frac{14\%}{8}[/tex]
[tex]\sigma_x= 1.75\%[/tex]
Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this has changed, so he is going to take a random sample of adults in his city and see what percent of them bike to work. Let p represent the proportion of adults in Elliot's city that bike to work.
Required:
What is an appropriate set of hypotheses for his significance test?
Answers
Answer:
The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]
Step-by-step explanation:
Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this proportion has changed.
At the null hypothesis we test if the proportion is still the same, that is, of 6%. So
[tex]H_0: p = 0.06[/tex]
At the alternate hypothesis, we test if the proportion has changed, that is, it is different of 6%. So
[tex]H_1: p \neq 0.06[/tex]
What is an appropriate set of hypotheses for his significance test?
The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]
CORRECT (SELECTED)
z=\dfrac{0.1-0.06}{\sqrt{\dfrac{0.06(0.94)}{240}}}z=
240
0.06(0.94)
0.1−0.06
6z3+2z2-9
What is the constant
Answers
Answer:
.; i don't know the constant but i know that the degree is 3 Step-by-step explanation:
What is the main problem with this introduction paragraph?
Ray's Skate Park has a big problem with injuries. One out of every six
skateboarders has been injured within the past month. Because Ray's
requires skaters to wear helmets and pads, these injuries are usually
minor. However, it is simple to see why so many kids are getting hurt.
They are using equipment that is beyond their skill level. Are we going
to just sit around while kids are in danger?
A. The hook does not relate to the topic.
B. It includes opinions instead of just facts.
O C. It does not restate the main points of the essay.
O D. The thesis statement is unclear.
Answers
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Robin, Steven, and John are comparing tree diagrams for rolling double sixes on two six-sided number cubes (6, 6). Robin thinks the probability is 136 based on the tree diagram they created. Steven disagrees and argues that the probability of rolling double sixes is 16. John counts twelve outcomes and claims the probability is 112.
Who correctly found the probability of rolling double sixes using the tree diagram?
A
Robin because there are 36 outcomes and only one is (6, 6).
B
Steven because there are 6 outcomes and only one is (6, 6).
C
Steven because there are 36 outcomes and six of them are (6, 6).
D
John because there are 6 outcomes for each and only one is (6, 6).
Answers
Answer:
A. Robin because there are 36 outcomes and only one is (6, 6).Step-by-step explanation:
You would get the probability of double sixes as:
P(6, 6) = 1/6*1/6 = 1/36Correct choice is A
The Robin because there are 36 outcomes and only one is (6, 6) is the correct option.
We have given that,
Robin, Steven, and John are comparing tree diagrams for rolling double sixes on two six-sided number cubes (6, 6).
Robin thinks the probability is 136 based on the tree diagram they created.
Steven disagrees and argues that the probability of rolling double sixes is 16.
John counts twelve outcomes and claims the probability is 112.
What is the probability?The formula to calculate the probability of an event is as follows. Probability(Event) = Favorable Outcomes/Total Outcomes
You would get the probability of double sixes as:
P(6, 6) = 1/6*1/6 = 1/36
Correct choice is A.
Therefore the Robin, because there are 36 outcomes and only one is (6, 6).
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Plz help me well mark brainliest if correct....????
Answers
Answer:
C
Step-by-step explanation:
18 boys
Answer:
i think 18 msy be
Step-by-step explanation:
If a rectangle has a length of 10 cm and a width of 12 cm, what is it's perimeter () and area
Answers
Answer:
p=44,A=120
Step-by-step explanation:
P=10+12+10+12
P=44cm
A=10*12
A=120cm^2
Which statement is most likely to be true for this distribution?
1
A. The mean is less than the median.
B. The mean is greater than the median.
O C. The mean is the same as the median.
Answers
Which types of triangles can have three angles that measure less than 90°?
acute triangle
equilateral triangle
right triangle
isosceles triangle
Answers
Answer:
An acute triangle
Step-by-step explanation:
22,19,16,13 what is the 37th term
Answers
Answer:
-86
Step-by-step explanation:
3x10=30
22-3=19-3=16-3=13
so if its tthe 37th term, lets do 30x3=90
now 13-90=-77
-77=34th term
now just -3 until 37
-80
-83
-86
the 37th term is -86
Four hundred randomly selected working adults in a certain state, including those who worked at home, were asked the distance from their home to their workplace. The average distance was x-bar equal to 8.84 miles. Assume that the standard deviation of the population of all working adults in that state is 2.70 miles. Construct a 99% confidence interval for the mean distance from home to work for all residents of this state. Droble
Answers
Answer:
The 99% confidence interval for the mean distance from home to work for all residents of this state is between 8.49 and 9.19 miles.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{2.7}{\sqrt{400}} = 0.35[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 8.84 - 0.35 = 8.49 miles.
The upper end of the interval is the sample mean added to M. So it is 8.84 + 0.35 = 9.19 miles.
The 99% confidence interval for the mean distance from home to work for all residents of this state is between 8.49 and 9.19 miles.