juanita and lauren are painting a circular mural on one wall of the community center the area of the mural is 88 square meters what is the radius.
Answer:
Radius of circular mural = 5.29 m
Step-by-step explanation:
Area of circle is given by πr².
Juanita and Lauren are painting a circular mural on one wall of the community center the area of the mural is 88 square meters
Area of circle = 88 square meters
That is
πr² = 88
[tex]r^2=\frac{88}{\pi}=28.01\\\\r=5.29m[/tex]
Radius of circular mural = 5.29 m
Determine algebraically whether the function is even, odd, or neither even nor odd.
f as a function of x is equal to 2 divided by x squared.
Neither
Even
Odd
Answer:
Even
Step-by-step explanation:
A function is said to be even function if we put -x instead of x and we get the same result of both function. i.e. f(-x) = f(x)
A function is said to be odd function if we put -x instead of x and we get the result as negative of that function. i.e. f(-x) = -f(x)
Now we have function, f(x) = [tex]f(x) = \frac{2}{x^{2}}[/tex]
Now putting -x in place of x
[tex]f(-x) = \frac{2}{(-x)^{2}}\\ = \frac{2}{x^{2}} = f(x)[/tex]
Hence, given function is an Even function.
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 6 vans and 8 buses with 202 students. High School B rented and filled 12 vans and 10 buses with 284 students. Each van and each bus carried the same number of students. How many students can a van carry?How many students can a bus carry? please show work thank you.
simplify the expression. 7m^2+6.5n-4n+2.5m^2-n
A.) 1.5m^2+4.2n
B.)4.2m^2+1.5n
C.)1.5m^2-4.2n
D.)4.2m^2-1.5n
What is 51/4 ÷ 22/7 ? A. 1219/64 B. 219/64 C. 2 D. 12
B is correct :
5 1/4 = 21/4
2 2/7=16/7
21/4x7/16=147/64=2 19/64
The function F(x) = 6x-2/5 is an example of a rational function.
A. True
B. False
The function F(x) = (6x-2)/5 is an example of a rational function.
Explanation:The function F(x) = (6x-2)/5 is an example of a rational function. A rational function is a function that can be expressed as the quotient of two polynomial functions, where the denominator is not equal to zero.
In this case, the function F(x) has a numerator of 6x-2 and a denominator of 5. Both the numerator and denominator are polynomial functions since they involve multiplication, addition, and subtraction of terms with x.
Therefore, the function F(x) = (6x-2)/5 is indeed a rational function, so the correct answer is True.
The function F(x) = (6x-2)/5 is an example of a rational function because it can be expressed as a ratio of two polynomials.
Function F(x) = (6x-2)/5 is an example of a rational function because it is a ratio of two polynomials. The numerator, 6x-2, is a linear polynomial, and the denominator, 5, is a constant polynomial.
To determine if a function is rational, we check if the function can be expressed as a quotient of two polynomials. In this case, F(x) is a ratio of a linear polynomial, 6x-2, and a constant polynomial, 5.
Therefore, the statement is True.
When BA = 10 ft, find the area of the region that is NOT shaded. Round to the nearest whole number.
A) 52 ft^2
B) 262 ft^2
C) 43 ft^2
D) 305 ft^2
The graph represents this piecewise function
Answer:
Step-by-step explanation:
Given is a piecewise graph.
From the graph we find that the domain is [-3,1]
From [-3,-1) the line is slant passing through (-3,0)(-2,1)
Slope =change in y/change in x = 1
Equation is y = x+3
Thus the function is x+3 for -3≤x<-1
and 5, -1≤x≤1
Solve for w. 3w – 10 = -w – 8 + 3w
A house cost $120,000 when it was purchased. The value of the house increases by 10% each year. Find the rate of growth each month and select the correct answer below.
Use graphs and tables to find the limit and identify any vertical asymptotes of the function
lim x->4^- x/x-4
Find the constant sum for an ellipse with foci F1 (0, -12), F2 (0, 12) and the point on the ellipse (9, 0).
what is the answer to this equation 2(3-X)=-16
Find the distance between the points with coordinates (5, 7) and (-3, 1)
What are the rules for adding and subtracting negative numbers?
Work the following pricing problems for services rendered. (For all calculations use hundredths.)
Labor time = 8 hours
Overhead rate = 65%
Retail price of parts = $98.70
Total cost of job = $242.58
What is hourly rate for labor?
a=27.67
b=13.32
c=10.90
d=117.08
Answer:
10.90
Step-by-step explanation:
Why is the mean greater than the median in right skewed?
Syreeta wants to buy some cds, each costing $14, and a dvd that costs $23. she has $65 to spend. write an equation to find how many cds she can buy
Answer:
14x+23y=65
Step-by-step explanation:
let cds=x and dvds=y
14x+23y=65
What is the perimeter of a square with a side length of 5x -8 and a bottom length of 3x of a square?
The required perimeter of the square is 48 units as of the given condition.
Given that,
The perimeter of a square with a side length of 5x -8 and a bottom length of 3x of a square is to be determined.
Perimeter is the measure of the figure on its circumference.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The length of all sides of the square is always remains equal,
5x - 8 = 3x
2x = 8
x = 4
Side length,
3x = 3(4) = 12
Now,
The perimeter of the square is 4-time sides,
Perimeter = 4 (12)
Perimeter = 48 units.
Thus, the required perimeter of the square is 48 units as of the given condition.
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STVU is an isosceles trapezoid. If SV = 3x + 1 and TU = x + 21, find the value of x.
Answer:
The value of x is 10.
Step-by-step explanation:
Given information: STVU is an isosceles trapezoid, SV = 3x + 1 and TU = x + 21.
According to the properties of isosceles trapezoid, then diagonals of an isosceles trapezoid are equal.
SV and TU are diagonals of the isosceles trapezoid, so
[tex]SV=TU[/tex]
[tex]3x+1=x+21[/tex]
Separate like terms.
[tex]3x-x=21-1[/tex]
[tex]2x=20[/tex]
Divide both sides by 2.
[tex]x=10[/tex]
Therefore the value of x is 10.
How would you represent 3 quarter notes as a fraction?
12 sixteen notes have a nice day
Estimate 12.56+12.69 using front-end estimation.
A. about $25.30
B. about $26.30
C. about $26.80
D. about $23.80
Does any one know how to solve this -4n^2-2n=-6-7n-5n^2
A number is *K* units to the left of 0 on the number line. Describe the location of its opposite
Evaluate the function f(x) = 4x -1 when x= -1 ..... f(-1) =___
To evaluate the function f(x) = 4x - 1 for x=-1, you first substitute -1 into the equation, then perform multiplication before subtraction as per the order of operations resulting in f(-1) = -5.
Explanation:To evaluate the function f(x) = 4x - 1 when x is -1, we simply replace the variable x in the equation with -1. The equation becomes f(-1) = 4(-1) - 1.
Now to perform the operations indicated in the equation, we should start with multiplication before subtraction according to the order of operations.
The multiplication of 4 and -1 gives -4 so the equation becomes f(-1) = -4 - 1.
Finally subtracting 1 from -4 gives -5. Therefore, f(-1) = -5.
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The two-way table shows the number of students in a school who have hamsters and/or dogs as pets.
Have Hamsters
Do Not Have Hampsters
Total
Have Dogs
16
24
40
Do Not Have Dogs
25
35
60
Total
41
59
100
How many more students have hamsters than dogs?
1
5
8
9
Answer:
1
Step-by-step explanation:
There are a total of 16+25 = 41 students that own hamsters.
There are a total of 16+24 = 40 students that own dogs.
This is a difference of 41-40 = 1.
Answer: 1
Step-by-step explanation:
Total number of students that own hamsters 16+25 = 41.
Total of students that own dogs 16+24 = 40.
To get how many more students own hamsters than dogs, we find the difference;
That is 41-40 = 1.
Good luck
(05.02)
Two quantities are related, as shown in the table:
x
y
2 3
4 4
6 5
8 6
Which equation best represents the relationship?
y = 1 over 2 x + 2
y = 1 over 2 x + 1
y = x + 2 y = 2x + 1
first equation y=1/2x +2
x=2 = 1/2(2) +2 =1+2 =3
x=4 = 1/2(4)+2 = 2+2 =4
first equation is the answer
Answer:
[tex]y=\dfrac{1}{2}x+2[/tex]
A is correct
Step-by-step explanation:
Given: Table of x and y
x : 2 4 6 8
y : 3 4 5 6
Using two point find the slope:
(2,3) and (4,4)
[tex]Slope=\dfrac{4-3}{4-2}[/tex]
[tex]\text{Slope }=\dfrac{1}{2}[/tex]
Now we find slope using last two point
(6,5) and (8,6)
[tex]\text{Slope }=\dfrac{6-5}{8-6}[/tex]
[tex]\text{Slope }=\dfrac{1}{2}[/tex]
Slope is equal. Thus, The given relation is linear.
[tex]y-3=\dfrac{1}{2}(x-2)[/tex]
[tex]y=\dfrac{1}{2}x+2[/tex]
Hence, The relation represents a linear equation [tex]y=\dfrac{1}{2}x+2[/tex]
Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square inches. The table is 36 inches wide and 72 inches long without the border. Which quadratic equation can be used to determine the thickness of the border, x?
4x^2 + 216x + 2,592 = 0
4x^2 + 216x − 684 = 0
2x^2 + 216x − 3,276 = 0
x^2 + 108x + 3,276 = 0
The quadratic equation that can be used to determine the thickness of the border, x is 4x² + 216x - 684 = 0
Which quadratic equation can be used to determine the thickness of the border, x?
From the question, we have the following parameters that can be used in our computation:
Length = 72
Width = 36
Border = x
Area = 3276
The area can be represented as
Area = (Width + 2x) * (Length + 2x)
Substitute the known values into the equation
(36 + 2x) * (72 + 2x) = 3276
Expand
4x² + 216x + 2592 = 3276
So, we have
4x² + 216x + 2592 - 3276 = 0
4x² + 216x - 684 = 0
Hence the quadratic equation is 4x² + 216x - 684 = 0
Graph the line y = -1/4x+2.
a. Sketch the line that is perpendicular to y = -1/4x+2 that passes through the point (5,5)
b. Write the equation of the perpendicular line.
c. Where do the lines intersect?
The base of a pyramid covers an area of 13.3 acres (1 acre = 43,560 ft2) and has a height of 473 ft. if the volume of a pyramid is given by the expression v = bh/3, where b is the area of the base and h is the height, find the volume of this pyramid in cubic meters.