This is a simple problem of ranges, we will find that the ranges for the main floor and the balcony are:
[-6ft, 8ft] or {x ∈ R | -6ft ≤ x ≤ 8ft}
[26ft, 37ft] or {x ∈ R | 26ft ≤ x ≤ 37ft}
respectively.
We know that:
The main floor of the auditorium ranges from 6ft below the stage to 8 feet above the stage.
The floor of the balcony ranges from 26 to 37 feet above the stage
The ranges relative to the stage will be, in interval notation, the interval that contains the two extremes of the range.
For the main floor, it goes from -6ft to 8ft (the first one is negative because is 6ft below the stage) then this interval will be: [-6ft, 8ft]
While in set-builder notation we want to specify that the variable must be a real number, so we start with: {x ∈ R
And we need to specify that x can go from -6ft to 8ft, then we add the restriction:
{x ∈ R | -6ft ≤ x ≤ 8ft}
Notice that we use a close interval here.
While for the balcony, the minimum is 26ft and the maximum is 37ft, then the interval will be [26ft, 37ft]
For the set-builder notation we will have:
{x ∈ R | 26ft ≤ x ≤ 37ft}
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Can someone help me with this ?!! Plz
Answer:
see image
Step-by-step explanation:
Michael is working two jobs. He gets paid $15 per hour for his job. He earns $12 per hour at his second job. Michael worked the same amount of time at each job. Michael earned a total of $405 for the week. How many hours did he spend working at each job? How many hours did Michael work in the week total?
Answer:
15 hours and 30 hours
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Good science requires that you record your observations accurately.
TrueFalse
Answer:
True.
Step-by-step explanation:
How do you add or subtract fractions?
Answer:
STEP ONE: Get a common denominator.
STEP TWO: Add or subtract the numerators.
STEP THREE: Simplify the result if needed.
And that's all there is to it! Final Answer
Answer:
By doing it normally as in arithmetic rule
Step-by-step explanation:
For starter see the following 2 numbers
334, 53
let add them and substract them in arithmetic way
334
+53
------
387
and
334
-53
------
281
here from right to left we add a single number and write it under the line, if the sum is above 1 decimal value the value upto 1 decimal from the very right of that number is written , for example in case of 9+8 that would be 17 so we would write 7 and carry 1, and the oposite of that for subtraction
Just in the same way lets consider the following example
1.23
+0.93
--------
2.16
and
1.23
-0.93
---------
0.30
Add followup question if needed
PLSSS HELPPPPP- Evaluate the expression. 1 1 4 25 3 Write your answer as a fraction or as a whole or mixed number.
Answer:
Mixed number form 4 4/5 exact form 24/5
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
8/15
How is the year 2019 written as a Roman Numeral? Standard Number Roman Numeral 1 V 1 5 10 50 100 500 1,000 C D M A) MMXIX B) MMXVIII С) ССХІХ
Answer:
MMXIX
Step-by-step explanation:
The year 2019 written in romal numeral form is MMXIX
Solve.
2x−y−4z=4
3x−2z=7
x−2y=−2
Enter your answer, in the form (x,y,z), in the boxes in simplest terms.
9514 1404 393
Answer:
(x, y, z) = (2, 2, -1/2)
Step-by-step explanation:
Most manual solutions to a system of 3 equations in 3 unknowns are ad hoc. The idea is to take advantage of any relationships that might exist between the coefficients.
Multiply the first equation by 2, then subtract the third equation.
2(2x -y -4z) -(x -2y) = 2(4) -(-2)
4x -2y -8z -x +2y = 8 +2 . . . . . . . eliminate parentheses
3x -8z = 10 . . . . . simplify
Now, we can subtract this from the second equation:
(3x -2z) -(3x -8z) = (7) -(10)
6z = -3 . . . . . . . simplify
z = -1/2 . . . . . . . divide by 6
Using the second equation, we can find x:
3x -2(-1/2) = 7
3x = 6 . . . . . . . . subtract 1
x = 2 . . . . . . . . . divide by 3
Using the last equation, we can find y:
2 -2y = -2
1 -y = -1 . . . . . . divide by 2
y = 2 . . . . . . . . add y+1
The solution is ...
(x, y, z) = (2, 2, -1/2)
0 can be natural number true or false
Answer:
No Natural numbers start from 1
Step-by-step explanation:
true it can be a natural number
A number rounded to the nearest hundred thousand is 400,000 the same number rounded to the nearest ten thousand is 350,000 what is the number
Answer:
347,000
Step-by-step explanation:
Noemy had homework three days of the school week. What is the ratio of days with homework to days without homework?
Answer:
3 : 2
Step-by-step explanation:
Number of days having homework during school week = 3
Number of days not having homework during school week = 5 - 3 = 2
Homework days : Without home work days = 3 : 2
Please help this work is some BS☹️
Answer: Ray AC is correct
This is because ray AE points in the same direction along ray AC. Put another way, points C and E are on the same line as A. So relabeling from "ray AE" to "ray AC" does not change the ray itself.
Keep in mind that order is important. So saying "ray AE" is completely different from "ray EA" due to the fact that the first letter is the endpoint while the second letter is where the ray goes on forever. So we can think of starting at point A and going in the direction of E to get ray AE, or going in the direction of C to get ray AC, and we're talking about the same ray.
help please, need help.
Answer: c
Step-by-step explanation:
correct answer would be b.
this is shown by just moving the individual points following the directions of the different answer choices.
4x squared minus 7x =3
Step-by-step explanation:
4x^2-7x=3
4x^2-7x-3=3-3
4x^2-7x-3=0
X1,2= -(-7)±√(-7)^2-4*4(-3)/2*4
x1,2= -(-7)±√97/2*4
X=7+√97 /8,X=7-√97 /8
Can anyone help me find w
Using the numbers 2,7,13,11,5 can you get the total of 23? (You must use all numbers, no negatives, no using each number more than once, and only use Subtraction, Multiplication, addition, and division, you can also group numbers)
Answer:
(2-7)/5 + 13 + 11
Step-by-step explanation:
There's a lot of guess and check that needs to go into this to make this work, but here's what I got:
(2-7)/5 + 13 + 11
-5/5 + 13 + 11
-1 + 13 + 11
24 - 1
23
M U N = { 7,8,9,10,11,12,} and M = {7,8,10} then which of the following represent set N
N represent (9,11,12), (7,8,9,10,11,12), (7,8,9,11,12)
Given M∪N=(7,8,9,10,11,12)
M=(7,8,10,)
N=[9,11,12] or [7,9,11,12] or [8,9,11,12] or [10,9,11,12] or
[7,8,9,11,12] or [7,10,9,11,12] or [8,10,9,11,12] or [7,8,9,10,11,12]
Inconclusion N represent (9,11,12), (7,8,9,10,11,12), (7,8,9,11,12)
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Ying is a professional deep water free diver.
His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by:
D(x)=\dfrac{1}{36}(x-60)^2-100D(x)=
36
1
(x−60)
2
−100D, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 36, end fraction, left parenthesis, x, minus, 60, right parenthesis, squared, minus, 100
What is the lowest altitude Ying will reach?
Answer:
The lowest point is -100 meters, or 100 meters down
Step-by-step explanation:
D(x)=1/36(x-60)^2-100
This equation is in vertex form
y = a(x-h)^2 +k where (h,k) is the vertex
Since a is positive, the parabola opens up
The vertex is the minimum, which means it will be the lowest point
The vertex is (60,-100)
The lowest point is -100 meters, or 100 meters down
Given expression
y=1/36(x-60)²-100Compare to the vertex form
y=a(x-h)²+kWe get
.
a=1/36(h,k)=vertex=(60,-100)As a is positive parabola is opening upwards and vertex is minimum
Lowest altitude is -100m
6. The population of wolves is currently 250 in a forest. Scientists estimate that there should be a
10% increase in population next year. What would the population of wolves be next year?
Answer:
275
Step-by-step explanation:
250÷10=25 250+25=275
6. A rectangle has a perimeter of 62 feet. If its length is 9 feet longer than its width, find
the dimensions of the rectangle.
62ft
Answer:
length = 20 ft, width = 11 ft
Step-by-step explanation:
let w be width, then length = w + 9
The opposite sides of a rectangle are equal , then
2w + 2(w + 9) = 62
2w + 2w + 18 = 62
4w + 18 = 62 ( subtract 18 from both sides )
4w = 44 ( divide both sides by 4 )
w = 11
and w + 9 = 11 + 9 = 20
then width = 11 ft and length = 20 ft
what is equivalent to -7/-9
Simplify 8/11 divided by 4
Answer:
2/11
Step-by-step explanation:
This will not always work!!! But i divided 8 by 4 and got 2. I used my calculator and got the same exact answer
Hope this helps.
93. Let f(x) = 3x - 1 and g(x) = x + 5. Evaluate the following limits. (a) lim x→3 f(g(x)] (b) lim x→3 g[f(x)]
Answer:
a) 26. b) 13
Step-by-step explanation:
steps are in picture.
Note:If you have any question about it you can ask.
Find the missing number to make these fractions equal.
I need help and ty for helping
What is the y-intercept of the function f(x) = -2/9x+1/3
Answer:
(0, 1/3)
Step-by-step explanation:
When a function is given in slope-intercept form, the y value of the y-intercept can be seen at the end of the function. In this case, the y-intercept of the function is (0, 1/3).
which of the following could be the side length of the right triangle
Answer:
the side lengths of a triangle is exactly 20 degrees
please help this one doesnt nee and explantion
Answer:
C.
Step-by-step explanation:
$159.99 × 0.25 is the amount of money she saved buying the CD player
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
-10 because you do parenthesis first
Answer:
x = -10
Step-by-step explanation:
3(-2x - 3) + 4x - 3 = 8
~Simplify
-6x - 9 + 4x - 3 = 8
-2x - 12 = 8
~Add 12 to both sides
-2x = 20
~Divide -2 to both sides
x = -10
Best of Luck!
The new bookcase for your future dorm room has the dimensions of 24 in wide by 12 in deep by 36 in tall. If one average textbook has the dimensions of 8.5 in wide by 11 in long by 1.5 in tall, how many books could you fit on your bookshelf with no shelving?
Answer:
About 73.93 books. Round that to 73 books, because you can't place 93% of a book.
Step-by-step explanation:
You first calculate to dimensions of the bookcase, then you calculate the dimensions of the books. As a result, divide the calculation of the bookshelf by the calculation of the books, and you should have your answer.
the base of a prism is right angled triangle with its two shorter sides equal to 4cm and 8cm . the prism is 10cm long.!
Answer: you want :
volume = area of base x height
Your base is a right-angled triangle
= (1/2)(4)(8)
multiply that by the height of the prism and you are done
Step-by-step explanation: add me brainliest and rate and say thanks