Answer:
on a coordinates plane :
The point of coordinates (h , k) is the center of the circle.
Step-by-step explanation:
by definition the expression:
(x-h)² + (y-k)² = r²
is the equation of the circle (in standard form)
Where r is the radius and (h , k) is the center of the circle.
It is the general equation of a circle
Correct answer:
The general equation of a circle is [tex](x - h)^2 + (y - k)^2 = r^2,[/tex]where (h, k) represents the location of the circle's center, and r represents the length of its radius. if we take some entities as [tex]h=4,k=-3[/tex] first has the equation of [tex](x - 4)^2 + (y + 3)^2 = 29[/tex]. This means that its center must be located at (4, –3), and its radius is √29.
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Two friends board an airliner just before departure time. There are only 11 seats left, 4 of which are aisle seats. How many ways can the 2 people arrange themselves in available seats so that at least one of them sits on the aisle?
The 2 people can arrange themselves in blank ways?
Using the Fundamental Counting Theorem, it is found that:
The 2 people can arrange themselves in 40 ways.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
With one people in the aisle and one in the normal seats, the parameters are:
n1 = 4, n2 = 7
With both in the aisle, the parameters is:
n1 = 4, n2 = 3
Hence the number of ways is:
N = 4 x 7 + 4 x 3 = 28 + 12 = 40.
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Please help I’m unsure
Step-by-step explanation:
3 answer.....
......dkdkdk
The graph of f(x) = x3 − 7x − 6 is shown.
Based on the graph, what are all of the solutions to f(x) = x3 − 7x − 6?
x = −6
x = −2, −1
x = −2, −1, 3
x = −6, −2, −1, 3
In accordance with the graph of the cubic function, the roots are - 2, - 1, 3.
What are the roots of a cubic equation according to a graph?
In this question we have a graph of a cubic equation, the roots are the points of the curve that pass through the x-axis. Cubic equations have at least a real root and at most three. In accordance with the graph of the cubic equation, the roots are - 2, - 1, 3.
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find the outer perimeter of this figure
Answer:
41.12 ft
Step-by-step explanation:
10 + 6 = 16
2 x pi x r = 25.12
16 + 25.12 = 41.12
Answer:
Step-by-step explanation:
find the outer perimeter of this figure
we find the perimeter of the semicircleThe perimeter of circle formula = 2πr unitsr = diameter : 2 = 8 : 2 = 4
2π4 =
8π=
8 × 3.14 = 25.12 ft
find figure perimeter
25.12 + 6 + 10 =
41.12 ft
f(x)=2^x. What is g(x)?
The function g(x) is g(x)= (3x)^2
How to solve for g(x)?The complete question is in the image
From the graph in the image, we have:
f(x) = x^2
The function f(x) is stretched by a factor of 3 to form g(x).
This means that:
g(x) = f(3x)
So, we have:
g(x)= (3x)^2
Hence, the function g(x) is g(x)= (3x)^2
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Solve the following system of equations algebraically:
y=x^2-x-22
y=x-7
The solution of the equations y=[tex]x^{2}[/tex]-x-22 and y=x-7 is that x=-3,5 and y=-10,-2.
Given equations y=[tex]x^{2} -x-22[/tex], y=x-7.
We are required to solve these equations for the value of x and y.
Equation is relationship between two or more variables expressed in equal to form.Equations of two variables look like ax+by=c.It may be a linear equation, quadratic equation and cubic equations.
The given equations are:
y=[tex]x^{2}[/tex]-x-22-----------1
y=x-7----------------2
Put the value of y from second equation in first equation.
x-7=[tex]x^{2}[/tex]-x-22
Solving
[tex]x^{2}[/tex]-x-x-22+7=0
[tex]x^{2}[/tex]-2x-15=0
[tex]x^{2}[/tex]-5x+3x-15=0
x(x-5)+3(x-5)=0
(x+3)(x-5)=0
x=-3,5
Put the values of x=-3 and 5 one by one to get the two values of y in second equation.
y=x-7
x=-3
y=-3-7
=-10
x=5
y=5-7
=-2
Values of y are -10 and -2.
Hence the values of x are-3 and 5 and values of y are -10,-2.
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Each container must hold exactly 1 litre of water Each container must have a minimum surface area
The containers must be spheres of radius = 6.2cm
How to minimize the surface area for the containers?
We know that the shape that minimizes the area for a fixed volume is the sphere.
Here, we want to get spheres of a volume of 1 liter. Where:
1 L = 1000 cm³
And remember that the volume of a sphere of radius R is:
[tex]V = \frac{4}{3}*3.14*R^3[/tex]
Then we must solve:
[tex]V = \frac{4}{3}*3.14*R^3 = 1000cm^3\\\\R =\sqrt[3]{ (1000cm^3*\frac{3}{4*3.14} )} = 6.2cm[/tex]
The containers must be spheres of radius = 6.2cm
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Sometimes, terminology such as "the odds are 1 in 10" of an event is used. This is interpreted to mean "the probability of the event is 1/10" or "the odds in favor of the event are 1 to 9"
The odds that a member of a certain country's Senate (selected randomly) has a law degree is 1 in 1.4. What is the probability that a member of the Senate (selected randomly) has a law degree?
The probability is
Answer:
71.4% ( i think)
Step-by-step explanation:
If we translate 1 in 1.4 using what is described, it turns into (1/1.4)
Putting this into a calculator, we get 0.714286. Translated into a percent, that becomes 71.4286%
The probability that a member of the Senate (selected randomly) has a law degree is approximately 0.4167 or 41.67%.
When the odds are given as "1 in 1.4," it means that there is 1 chance of success (having a law degree) for every 1.4 chances of failure (not having a law degree).
To find the probability that a member of the Senate (selected randomly) has a law degree, you can use the formula:
Probability = 1 / (1 + Odds)
In this case, the odds are 1 in 1.4, so the probability is:
Probability = 1 / (1 + 1.4) ≈ 1 / 2.4 ≈ 0.4167
So, the probability that a member of the Senate (selected randomly) has a law degree is approximately 0.4167 or 41.67%.
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To convert grams to kilograms, you can use the ratio
OA. True
B. False
1,000 grams
1 kilogrami
Answer:
A. True
Step-by-step explanation:
The ratio 1000 grams=1kilogram is correct.
PLS ANSWER THESE QUESTIONS
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The linear function y = 3 · w - 1 represents the number of sea shells found in each week.
The speed of the driven gear is 180 rounds per minute.
How to use direct and inverse relationships to analyze situations
In the first problem we have an example of linear progression, in which the number of sea shells is increased linearly every week. After a quick analysis, we conclude that the linear function y = 3 · w - 1, a kind of direct relationship.
In the second problem, we must an inverse relationship to determine the speed of the driven gear. Please notice that the speed of the gear is inversely proportional to the number of teeths. Then, we proceed to calculate the speed:
[tex]\frac{v_{1}}{v_{2}} = \frac{N_{2}}{N_{1}}[/tex]
If we know that [tex]v_{2} = 60\,rpm[/tex], [tex]N_{2} = 60[/tex] and [tex]N_{1} = 20[/tex], then the speed of the driven gear is:
[tex]v_{1} = v_{2}\times \frac{N_{2}}{N_{1}}[/tex]
[tex]v_{1} = 60\,rpm \times \frac{60}{20}[/tex]
[tex]v_{1} = 180\,rpm[/tex]
The speed of the driven gear is 180 rounds per minute.
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Explain how to draw a line segments that measures 2 7/16 inches. d
Answer: draw the line using a ruler on which you have identified points 2 7/16 inches apart
Step-by-step explanation: On your ruler graduated in inches with marks at 1/16-inch intervals, locate the 0 mark and the mark 1/16 inch before the half-inch mark between 2 and 3 inches.Draw your line along the edge of the ruler between the two marks you have identified: 0 and 2 7/16. The line will be 2 7/16 inches
i need help with number 70
The volume of the rectangular prism is of 28.6875 mm³.
What is the volume of a rectangular prism?
The volume of rectangular prism of length l, width w and height h is given by:
V = lwh.
For this problem, the dimensions are:
2(1/8)mm = 2 + 1/8 = 2.125 mm.6(3/4)mm = 6 + 3/4 = 6.75 mm.2 mm.Hence the volume is:
V = 2.125 x 6.75 x 2 = 28.6875 mm³.
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Which equation represents the vertical line passing through (5,-4)?
Answer:
x = 5
Step-by-step explanation:
Since the line is vertical,
the equation of the line then is x = (some value).
Since this particular line passes throught (5,-4), where the x coordinate is 5, we can deduce the equation of this line to be x = 5.
Why we need the least common denominator to add or subtract ration?
Answer:
It is necesary to look for the least common denominator when one is trying to add or subtract rational expressions that do not have the same denominator
Step-by-step explanation:
What is the value of c in the equation below?
22²=a=c
Answer:
484
Step-by-step explanation:
because a=22² , which is equal to 484
because a=22² , which is equal to 484, but a=c hence C is equal to 484
A nine year old girl did a science fair experiment in which she tested professional touch therapist to see if they could sense her energy field she flipped a coin to select either her right hand or her left hand and then she asked the therapist to identify the selected hand by placing their hand just under her hand without seeing it and without touching it among 285 trials the touch therapist were correct 116 times use a 0.01 significance level to test the claim that touch therapist use a message equivalent to random guesses to the results suggest that touch therapists are effective
The test statistic based on the probability illustrated is -3.22.
How to illustrate the probability?Based on the information, the test statistic will be:
= (0.4 - 0.5)/[✓0.5(1 - 0.5)/260]
= -3.22
The p value using the distribution table is 0.0012.
The conclusion is to reject the null hypothesis as there's sufficient evidence to warrant rejection.
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Please help Need answer Urgently.
Factor the expression 3x^(2)+10x+8
Hello,
If we want to factor the expression, we have to solve
3x² + 10x + 8 = 0
a = 3 ; b = 10 ; c = 8
∆ = b² - 4ac = 10² - 4 × 3 × 8 = 4 > 0
x1 = (-b - √∆)/2a = (-10 - 2)/6 = -12/6 = -2
x2 = (-b + √∆)/2a = (-10 + 2)/6 = -8/6 = -4/3
Factor :
a (x - x1)(x - x2)
= 3(x + 2)(x + 4/3)
= (x + 2)(3x + 4)
I NEED THIS REALLY FAST!!!a brave knight traveled on his horse from one kingdom to another in 2 days the first day he rode at a speed of 10 mph and the second day he rode at a speed of 8 mph if he traveled exactly the same amount of time each day and went 180 miles find how many hors it took the knight to travel from one kingdom to another
Answer:
10 hours
Step-by-step explanation:
The rate x time of the first day + the rate x time of the second day equal the distance of 180 miles.
Let t = time
10t + 8t = 180
18t = 180
t = 10
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-14x^2+1035x-10266
The price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit is 62.13
Quadratic equationy = -14x² + 1035x - 10266
solve the quadratic equation-14x² + 1035x - 10266 = 0
x = -b ± √b² - 4ac / 2a
= -1035 ± √1035² -4(-14)(-10266) / 2(-14)
= -1035 ± √1071225 - 574896 / -28
= -1035 ± √496329 / -28
x = 1035 / 28 ± √496329 / 28
x = 11.80 or 62.13
The maximum value of x is 62.13
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A university freshman class has 9900 students 4554 of thoses students are majoring in computer science what percentage of the class is computer science majors
Given the total number of students in the university freshman class and the number of students majoring in computer science, the percentage of the class majoring in computer science is 46%.
What percentage of the class is computer science majors?Percentage is simply number or ratio expressed as a fraction of 100.
It is expressed as;
Percentage = ( Part / Whole ) × 100%
Given the data in the question;
Total number of students or Whole = 9900Number of students majoring in computer science or Part = 4554Percentage of the class majoring in computer science = ?We substitute the given values into the above equation.
Percentage = ( Part / Whole ) × 100%
Percentage = ( 4554 / 9900 ) × 100%
Percentage = ( 0.46 ) × 100%
Percentage = 46%
Given the total number of students in the university freshman class and the number of students majoring in computer science, the percentage of the class majoring in computer science is 46%.
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find the value of x and y
Find the value of t; log3y=2 and log3ty=6
Answer: [tex]10^4[/tex]
Step-by-step explanation:
Assuming we are using the common log (base 10),
[tex]\log 3ty=6\\\\\log 3y +\log t=6\\\\2+\log t =6\\\\\log t=4\\\\t=10^4[/tex]
Micheal solved this inequality as shown: step 1: -6(x + 3) + 10 < -2 step 2: -6x - 18 + 10 < -2 step 3: -6x - 8 < -2 step 4: -6x < 6 step 5: x > -1. what property justifies the work shown between step 3 and 4?
================================================
Explanation:
These are the steps to focus on
step 3: -6x - 8 < -2
step 4: -6x < 6
The move from the third step to the fourth step has us adding 8 to both sides. Therefore, we use the addition property of inequality.
That property has four forms
If [tex]a > b[/tex] then [tex]a + c > b+c[/tex]If [tex]a < b[/tex] then [tex]a+c < b+c[/tex]If [tex]a \ge b[/tex] then [tex]a + c \ge b+c[/tex]If [tex]a \le b[/tex] then [tex]a+c \le b+c[/tex]It's similar to the idea of starting with a = b, then adding c to both sides to get a+c = b+c
We add the same thing to both sides to keep things balanced.
Use the data in the table to describe how the population in a town is changing. Then identify a function that
models the data. Use your function to predict the population after 6 years.
Population in a Town
Year
0
1
2
3
Population
600
1200
2400
4800
O There is a constant ratio 2
y = 600(2)*
38,400
O There is a constant ratio 2
y = 600 + 2x
5412
O There is a constant ratio 4
y = 600(2x)
7200
www
There is a constant ratio 4
y = 600 + 2x
664
D
The data given illustrates that there's a constant ratio of 2 and y = 600(2)^x; 38400
How to compute the ratio?The ratio based on the information given will be:
= 1200/600
= 2
Therefore, the constant ratio is 2.
In 6 years, the population will be:
= 600 × 2^6
= 600 × 64
= 38400
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Circles A circular device has a diameter of 4.5 inches. What is the radius of the device? Choose one 2 points O2.25 inches O4.5 inches O 4.5 inches O 2.25 inches 10 CO D
Answer: 2.25 inches
Step-by-step explanation:
The radius of a circle is half the diameter.
Does this represent a proportional relationship
Answer:
D.
Step-by-step explanation:
the suggested relation can be described as y=15x. Then the correct answer is D) Yes, the points are on the line that passes through the origin.
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them?
4x - 2y = 7
3.x - 3y = 15
Answer:
Multiply the top equation by -3 and the bottom equation by 2
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}[/tex]
To solve the given system of equations by addition, make one of the variables in both equations sum to zero. To do this, the chosen variable must have the same coefficient, but it should be negative in one equation and positive in the other, so that when the two equations are added together, the variable is eliminated.
To eliminate the variable y:
Multiply the top equation by -3 to make the coefficient of the y variable 6:
[tex]\implies -3(4x-2y=7) \implies -12x+6y=-21[/tex]
Multiply the bottom equation by 2 to make the coefficient of the y variable -6:
[tex]\implies 2(3x-3y=15) \implies 6x-6y=30[/tex]
Add the two equations together to eliminate y:
[tex]\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}[/tex]
Solve for x:
[tex]\implies -6x=9[/tex]
[tex]\implies x=-\dfrac{9}{6}=-\dfrac{3}{2}[/tex]
Substitute the found value of x into one of the equations and solve for y:
[tex]\implies 3\left(-\dfrac{3}{2}\right)-3y=15[/tex]
[tex]\implies -\dfrac{9}{2}-3y=15[/tex]
[tex]\implies -3y=\dfrac{39}{2}[/tex]
[tex]\implies y=-\dfrac{39}{2 \cdot 3}[/tex]
[tex]\implies y=-\dfrac{13}{2}[/tex]
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in circle V, r=14. What is the area of circle V
Answer:
[tex]\pi[/tex][tex]14^{2}[/tex] or [tex]\pi 196\\[/tex]
Step-by-step explanation:
The circle V has the radius of 14 (r=14)
The formula of area is (A=[tex]\pi r^{2}[/tex])
So we insert the value of (r=14)
[tex]A=\pi 14^2[/tex]
[tex]A=\pi 196[/tex]
And that's the answer, The exact value is 615.752...
Answer: 196 pi
Step-by-step explanation:
Elena cuts out a rectangle that has a perimeter of 156 inches and a length of 56 inches. She cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new ractangle?
answer: 200, 2 hundred, two hundred