Answer:
The center of the circle is point: C=(1,5).
The radius of the circle is r=3.
Step-by-step explanation:
x² + y² -2x - 10y + 17 = 0
Find the center and radius of this circle
We have the equation
x² + y² -2x - 10y + 17 = 0
We collect like terms
x² - 2x + y² - 10y = -17
x² - 2x + (-2/2)² + y² - 10y + (-10/2)² = -17 + (-2/2)² + (-10/2)²
The center of the circle is point: C=(1,5).
The radius of the circle is r=3.
The value of a house in 1996 was $80,000. If its value in 1997 is $85,000, by what
percent did the value of the house increase?
Answer:
by 85,000 because it has more value and mening
Step-by-step explanation:
consider the region $a^{} {}$ in the complex plane that consists of all points $z^{} {}$ such that both $\frac{z^{} {}}{40}$ and $\frac{40^{} {}}{\overline{z}}$ have real and imaginary parts between $0^{} {}$ and $1^{} {}$, inclusive. find the area of $a.$
The area of \($a$ is $\boxed{1200}$\).
Consider the region $a$ in the complex plane that consists of all points $z$ such that both
$\frac{z}{40}$ and $\frac{40}{\overline{z}}$
have real and imaginary parts between $0$ and $1$, inclusive. We need to find the area of $a$.
First, let's simplify
$\frac{z}{40}$ and $\frac{40}{\overline{z}}$:
\($$\frac{z}{40} = \frac{x + yi}{40} = \frac{x}{40} + \frac{y}{40}i$$$$\frac{40}{\overline{z}} = \frac{40}{x - yi} = \frac{40(x + yi)}{x^2 + y^2} = \frac{40x}{x^2 + y^2} - \frac{40y}{x^2 + y^2}i$$For $\frac{z}{40}$\)
to have real and imaginary parts between $0$ and $1$, we need
$x \in [0, 40]$ and $y \in [0, 40]$.
For $\frac{40}{\overline{z}}$ to have real and imaginary parts between $0$ and $1$, we need $x^2 + y^2 \geq 40x$ (so that $\frac{40x}{x^2 + y^2} \in [0, 1]$) and $x^2 + y^2 \geq 40y$ (so that $\frac{-40y}{x^2 + y^2} \in [-1, 0]$). This simplifies to
\($(x - 20)^2 + y^2 \geq 20^2$.\)
We can plot these inequalities in the $xy$-plane to see that $a$ is a trapezoid with bases $40$ and $80$ and height $20$:The area of $a$ is the average of the lengths of the bases multiplied by the height:
\($$\frac{(40 + 80)}{2} \cdot 20 = 1200$$\)
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BRO SOMEONE HELP PLEASE
Answer:
a) For 460 minutes of calling.
b) This would cost 87,4 dollar.
Step-by-step explanation:
a) x= the amount of calling in minutes
=> 23+0,14x=0,19x
<=> 23=0,05x
<=> 460=x
b) 0,19.460=87,4
A rectangle has a length of x and a width of 6x^3 + 3− x^2. Find the perimeter of the rectangle when the length is 5 feet
Answer:
1466 feet
Step-by-step explanation:
If length is 5 feet, x=5. The width will be 6*(5)^3+3-(5)^2=728 feet. The perimeter will be 2*(l+b)=2*733=1466 feet
Type the correct answer in each box.
x f(x)
-1
1
2
3
3
6
5
7
7 8
The values in the table define the function f (x). The value of f-¹ (3) is
Reset
Next
, and the value of f¹ (8) is
The values of the inverse functions are f-¹ (3) = -1 and f-¹ (8) = 7
How to determine the values of the inverse functionsFrom the question, we have the following parameters that can be used in our computation:
x f(x)
-1 3
1 6
2 5
3 7
7 8
Using the above as a guide, we have the following:
f-¹ (x) means that we calculate the value of x from the table when y = x in the function notation
So, we have
f-¹ (3) = -1 and f-¹ (8) = 7
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What did I do wrong?
I did the check but I didn’t get the same answer.
Answer:
Solution = ( 0, 4 )
Step-by-step explanation:
You made one tiny error. When you were attempting to substitute your y value, 4, to derive the x - value, you took the second equation. However, that second equation was x + 2y = 8, when you substituted y as 4 you rewrote this equation as x + 2( 4 ) = 12, instead it should have been x + 2( 4 ) = 8!
If you would like, let me explain how to get the right answer;
\(x + 2 * ( 4 ) = 8,\\x + 8 = 8,\\x = 8 - 8 = 0\\\\x = 0, y = 4\\Solution = ( 0, 4 )\)
And as for your " check " let us substitute these values into both the equations, for true confirmation;
\(- 5 * ( 0 ) + 3 * ( 4 ) = 12,\\0 + 12 = 12,\\12 = 12\\Correct!\\\\0 + 2 * ( 4 ) = 8,\\0 + 8 = 8,\\8 = 8\\Correct!\)
The probability of randomly selecting two oranges from a bowl of 5 oranges and 4 tangerines if the first selection is replaced
Answer:
25/81
Step-by-step explanation:
The probability of randomly selecting two oranges = (number of oranges in the bowl / total number of fruits in the bowl) x (number of oranges in the bowl / total number of fruits in the bowl)
total number of fruits in the bowl = 5 + 4 = 9
5/9 x 5/9 = 25/81
Question 3 Let X1, X2,..., Xn be independent random variables, each having a uniform distri- bution over (0,1). Let M = maximum (X₁, X₂,..., Xn). Show that the distribution function of M, FM(-), is given by FM(x)=x, 0≤x≤1 What is the probability density function of M?
The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.
The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.
In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.
For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).
The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).
To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.
The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.
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what is the angle coa? A140° B150° C160° D170
The measure of angle COA is 160 degrees. (option c)
In triangle ACO, we know that AC and CO are equal because they are radii of the same circle. Therefore, angle ACO and angle CAO must be equal.
We also know that the sum of the angles in a triangle is always 180 degrees, so we can write:
angle ACO + angle CAO + angle COA = 180 degrees
We can substitute angle ACO for angle CAO because they are equal, giving us:
2(angle ACO) + angle COA = 180 degrees
Solving for angle ACO, we get:
2(angle ACO) = 180 degrees - angle COA
angle ACO = (180 degrees - angle COA)/2
Now we can substitute this expression for angle ACO into our earlier equation for angle COA:
angle COA = angle AOC + angle ACO
angle COA = 80 degrees + [(180 degrees - angle COA)/2]
We can simplify this equation by multiplying both sides by 2:
2(angle COA) = 160 degrees + (180 degrees - angle COA)
Distributing the 2 on the left side, we get:
2angle COA = 160 degrees + 180 degrees - angle COA
Combining like terms, we get:
3angle COA = 480 degrees
Dividing both sides by 3, we get:
angle COA = 160 degrees (rounded to two decimal places)
Hence the correct option is (c).
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Find the area of the figure below by first finding the areas of the rectangle and triangle.
Answer:
try checking the questions again and put in more detail
Help with numbers 6 and 8 please. :)
The required answers are 6) 150 degree 8) 215 degree.
What is Quadrant in trigonometry?If the terminal edge of an angle in standard position is on the x- or y-axis, the angle is referred to as a quadrantal angle. Quadrantal angles include 0, 90, 180, 270, and 360 degrees, among others. The images below show examples of some of these angles.
According to question:To convert radian to degree just multiply 180/π to radian.
6) 5π/6
= \($\frac{5\pi}{6}\times\frac{180}{\pi}\)
= 150 degree
8) to lie 35 degree in third quadrant add 180 degree to it
= 180 + 35
= 215 degree
Thus, required answers are 6) 150 degree 8) 215 degree.
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at top cruising speed, a mako shark can swim 4 kilometers in 1/10. a blue whale can swim 5 kilometers in 1/4 hour. which animal swims faster at top cruising speed? how much faster?
Answer:Blue whale
Step-by-step explanation:
The blue whale goes an extra kilometer faster
The Mako shark faster at top cruising speed and by 20km/h.
Given that,
The mamo shark should swim 4 km in one-fourth.While on the other hand, Blue whales should swim 5 km in one-fourth hour.Based on the above information, the calculation is as follows:
We know that
\(Speed = \frac{Distance}{Time}\)
For Mako shark,
\(= \frac{4}{\frac{1}{10} }\)
= 40 km/h
For Blue whales
\(= \frac{5}{\frac{1}{4} }\)
= 20 km/h
Based on the above calculations we can say that the Mako shark should be faster and by 20 km/h.
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Write an equivalent expression in expanded form. 9 (4x+3y+2/3
Answer;
36x+27y+6
Step-by-step explanation:
This is an example of the distributive property. In order to find the expanded form of this expression, 9 must be multiplied by each numeral within the perenticies, also making sure to include the variables if essential.
Can someone help with please and thank you
1) Translation
2) Rotation
3) Translation
4) None of these
Giving out some more points here =_=
Is the following inequality true or false?
X - 5 > 9, X = 11
If LM = 9, MN = 6x, and LN = 9x, what is LN?
Given
LM = 9, MN = 6x, and LN = 9x
Find
LN
Explanation
as we see LN = LM + MN
so ,
\(\begin{gathered} 9+6x=9x \\ 9=9x-6x \\ 9=3x \\ x=3 \end{gathered}\)so , LN = 9x = 9 * 3 = 27
Final Answer
Therefore , the length of LN is 27
please solve this construction for me
Answer:
Kaksjnzhxjz zn, nxnjxbjzznbz zn z xnxjz zbjz xj x, j xn, nxmj, xjbznznxjx nzjzjz dbz dnz xbxxjz
My office is 11 feet wide and 13 feet long with the ceiling being 8 feet above the floor. I would like to paint the walls light green. I will need to buy paint for ____ square feet. Enter only a number as your answer.
10[6(n+1)+5(n-1)]=13[7(5+n)-(25-3n)]
Answer:
n = -6
Step-by-step explanation:
10[6(n+1)+5(n-1)]=13[7(5+n)-(25-3)]
You will collect like terms
10(6n+6+5n-5)=13(35+7n-25+3)
it will give you this
10(11n+1)=13(10+10n)
Then you remove the parenthesis
110n+10 = 130 +130n
Move the terms
110n -130n = 130-10
collect like terms
-20n=120
divide both sides
n=-6
In which step was the first mistake made when solving this equation.
A square has a area of 63 square inches. What is the length of a side of the square, in inches?
Answer:
9ft
Step-by-step explanation:
I'm not sure, sorry if this didn't help you have a good day
PLEASE HELPP! The diameter of a decorated plate is 20 centimeters. There is a flower painted every 15.7 centimeters around the edge of the plate. How many flowers are painted on the plate? Use 3.14 for
Answer:
4 flowers
Step-by-step explanation:
First we need to calculate the circumference of the plate.
C = πd
Given
diameter d = 20cm
C = 3.14(20)
C = 62.8 cm
If there is a flower painted every 15.7 centimeters around the edge of the plate, the amount of flower on the plate will be;
Number of flower = Circumference of the plate/length of flower
Amount of flower = 62.8/15.7
Amount of flower = 4
Hence there are 4 flowers painted on the plate
Answer:
4
Step-by-step explanation:
Which of the following are partial products for 43x17 choose all that apply
Answer:
10 multiply 40, 10 multiply 3, 7 multiply 40, and 7 multiply 3.
Step-by-step explanation:
hope it helps!
HELP PLEASE it's my last one but I don't know how to do it..can somebody give me the answer and then explain how
The perimeter of the rectangle is 32 inches. what is the formula that shows the length of side c?
Answer:
Step-by-step explanation:
2(x+y)=32 means :
x+y =16
What are the Miller indices for the plane shown in the following cubic unit cell and Explain why? O (201) O (10 1/2) O (1 infinity 1/2) O (102)
The plane intercepts on the x,y, z axes are 1, ∞, and 1/2. Hence, the Miller indices for the plane inside the cubic unit cell is (102).
Miller indices are used to specify planes and directions. These planes and directions could be in lattices or crystals. The number of indices will correspond to the size of the lattice or crystal.
Steps to find the Miller indices:Determine intercepts of the planes with the x, y, and z axes.Use fractional coordinates to specify intercepts.Take the reciprocals of the fractional interceptsIn the given graph, the plane intercepts are:
x-intercept : 1
y-intercept : ∞ (since the planes does not intercept y-axes)
z-intercept = 1/2
Take the reciprocal:
1/1 = 1
1/∞ = 0
1/(1/2) = 2
Hence, the miller indices are (102)
The graph in your question is missing. Most likely it was like on the attached picture.
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Represent the following sentence as an algebraic expression, where "a number" is the letter x. \text{a number raised to the third power.} a number raised to the third power.
Answer: #x^3
Step-by-step explanation:
"A number " is represented by the letter xA number (x) raised (^) the third power will be,x^3
note: An algebraic expression doesn't have an equal sign (=)
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What type of triangle is △str? right triangle equilateral triangle isosceles triangle scalene triangle
The type of triangle is △STR is isosceles triangle.
What's triangleA triangle is a flat shape bounded by three sides. In another sense, a triangle is formed by three line segments called sides and each side intersects with two other sides.
When classified from its angles, triangles consist of acute triangles, right triangles, and obtuse triangles. Even so, the sum of the angles of a triangle is always 180 degrees. Based on the classification of its sides, triangles consist of equilateral triangles, arbitrary triangles, and acute triangles.
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Measurement and area maneuvering the middle
The total surface area of cylinder is 112π units².
What is the formula for surface area of cylinder?The surface area of cylinder is -
A = 2πr(h + r)
Given is a cylinder as shown in the image attached.
We can write the total surface area of cylinder as -
A = 2πr(h + r)
A = 2π x 4 x (10 + 4)
A = 8π x 14
A = 112π
Therefore, the total surface area of cylinder is 112π units².
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The ratio of buckets of vegetables to the bales of hay an animal is fed is 4 to 3. Write this ratio in two other ways. Select all that apply. 3 A. 7 4 B. 3 OC 3:4 D. 3:7 DE. 4:3 3
Answer:
4:3 and 3:4 I believe is the answer
Step-by-step explanation:
eye balled it