Answers:
lower bound = 39001
upper bound = 40999
========================================================
Explanation:
You'll have to think backwards to find what values round to 690,000 when rounding to the nearest thousand.
It turns out that if x is on the interval [tex]689,500 \le x \le 690,499[/tex], then x will round to 690,000 when rounding to the nearest thousand. The x refers to the population of Sheffield, so it's some integer in that range.
Through similar logic, if y is on the interval [tex]729,500\le y \le 730,499[/tex] then it will round to 730,000 when rounding to the nearest thousand. This represents the population of Nottingham.
-------------------
Now let's say we go for the smallest possible value of x (689500) and the largest possible value of y (730499). This guarantees the two populations are the most spread out or distant from one another. Subtract those two values:
730,499 - 689,500 = 40,999
This is the largest difference possible of the two populations. It represents the upper bound, i.e. it's the ceiling.
---------------------
On the other hand, let's now say x is as big as possible (690499) and y will be as small as possible (729500). Subtract those values:
729,500 - 690,499 = 39,001
This is the lower bound. It's the smallest the difference can be. It's considered the floor.
----------------------
Let d be the difference in the populations. In other words, d = y-x
We found that the lower bound was 39,001 and the upper bound was 40,999
Meaning that
[tex]39,001 \le y-x \le 40,999[/tex]
or
[tex]39,001 \le d \le 40,999[/tex]
A right circular cylinder has a height of 1934 ft and a diameter 125 times its height.
What is the volume of the cylinder?
Enter your answer as a decimal in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
Answer:
88772677020890.30
Step-by-step explanation:
To calculate its volume, we need to know two parameters - the radius (or diameter) and height:
cylinder_volume = π * cylinder_radius² * cylinder_height
Answer:
11852.97
Step-by-step explanation:
is the correct answer took the test on k12
Demarcus has to wrap a gift for his friend's birthday party. the gift is in a rectangular box with the dimensions shown below. he's trying to figure out how much gift wrap he needs to cover the entire box. should he calculate the total surface area or the lateral surface area? pick the right measurement and then calculate it for him.
Amount of gift wrap to cover the entire box = total surface area of rectangular box = 1,048 in.².
What is the Total Surface Area of a Rectangular Box?The total surface area of a rectangular box is the area of all the faces of the box = 2(wl + hl + hw).
Therefore, to find the material that will cover the whole rectangular box, Demarcus should find its total surface area, given the following dimensions:
l = 20 in.w = 8 in.h = 13 in.Plug in the values into TSA = 2(wl + hl + hw):
Total surface area of rectangular box = 2(8×20 + 13×20 + 13×8) = 1,048 in.²
Learn more about total surface area of rectangular box on:
https://brainly.com/question/24448247
The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Hardwood floors cost $11 per square foot. What is the cost of hardwood flooring for the dining room?
The cost of the hardwood flooring for the dining room is $
.
Answer:
$3520Step-by-step explanation:
Find the dimensions of dining roomWidth
4*1/4 in = 1 in 1 in ⇒ 1*16 ft = 16 ft, according to scale factorLength
5*1/4 in = 1.25 in1.25 in ⇒ 1.25*16 ft = 20 ftFind the area of dining room A = lw = 16*20 = 320 ft²Find the cost of flooring for the dining room320*11 = 3520Answer:
$3,520
Step-by-step explanation:
If each square has a side length of 1/4 in then the dimensions of the Dining Room in the blueprint are:
Dining Room = (4 × 1/4) x (5 × 1/4) = 1 × 1.25 inThe scale given is 1 in : 16 ft, therefore dimensions of room scaled up:
Dining Room = (1 × 16) x (1.25 × 16) in = 16 × 20 ftTherefore, the area of the Dining Room = 16 × 20 = 320 ft²
Given the hardwood floor costs $11 per ft², to find the total cost of the floor for the dining room:
Total cost = area × cost per ft²
= 320 × $11
= $3,520
What is the measure of the given angle in degrees
Answer:
D -- 210
Step-by-step explanation:
In degrees, 7π / 6 is 210°
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Answer:
210°
Step-by-step explanation:
To convert from radians to degrees :
Degree measure = Radian measure x 180°/πOur radian measure is 7π/6.
Solving :
Degree = 7π/6 x 180/πDegree = 7 x π/π x 180/6Degree = 7 x 30 = 210°Find the surface area of the rectangular prism.
7 mi
4 mi
2 mi
Answer:
mi?
Suteri Anar
Answer:
Right rectangular prism
Solve for surface area
A=100
l Length
7
w Width
4
h Height
2
Solution
A=2(wl+hl+hw)=2·(4·7+2·7+2·4)=100
what is the value of the expression below 2816 * 7
Answer:
2816 x 7 is 19712.
Step-by-step explanation:
I'm not going into detail, but simply, use a calculator
Answer:
the answer is 19,712
Step-by-step explanation:
ur welcome
1. Lin says that the inequalities h > 150 and h < 160 describe her height in centimeters. What do the inequalities tell us about her height? 2. Andre notices that he is a little taller than Lin but is shorter than their math teacher, who is 164 centimeters tall. Write two inequalities to describe Andre’s height. Let a be Andre’s height in centimeters. 3. Select all heights that could be Andre’s height in centimeters. If you get stuck, consider drawing a number line to help you a) 150 b) 154.5 c) 160 d) 162.5 e) 164
Answer
Lin says that the inequalities h > 150 and h < 160 describe her height in centimeters. What do the inequalities tell us about her height? Lin is greater than 160 cm. Lin is less than 150 cm.
Step-by-step explanation:
no step by step explanation
does that help??
The height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
1) We have inequalities h > 150 and h < 160 for Lin height.
The height of the Lin varies between 150 cm to 160 cm because:
h ∈ (150, 160)
2) Let's suppose the height of the Andre is h' and let h is the height of the Lin, then inequality becomes:
h < h' < 164
3) As the inequality for the Lin height: h > 150 and h < 160 or
h ∈ (150, 160)
And h < 164
So from the above restrictions Andre's height could be 154.5, 160, and 162.5 in centimeters.
Thus, the height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ2
I need help please 15 points
what is the expanded form of 812004?
8,00,000 + 10,000 + 2,000 + 4
Eight Lack Twelve Thousand And Four
INTERNATIONAL SYSTEM800,000 + 10,000 + 2,000 + 4
Eight Hundred And Twelve Thousand And Four
hope this is the expected answer!!,if it is correct/satisfying then PLS mark Brainlist(: !!HAVE A NICE TIME!! :)(: !!STAY SAFE!! :)Find the reciprocal of 7/2 multiplied by 3/5
6/35
hope it helps...!!!
Answer:
(2/7) x (3/5)= fraction form: 6/35 decimal form: 0.1714285
Step-by-step explanation:
Need help asap pls ty
the average of a class of 25 students is 12 years. if a boy is leave the class the average age of the class falls down to 11.8 75. find the age of the boy who left the class.
ANSWER
solution
here,
Correct option is B)
Total age of 40 old students =40×15=600years.
Total age of 40 old and 10 new students =50×15.2=760years
∴ Total age of 10 new students =760−600=160years
∴ Required average age =
10
160
=16years
Answer:
16 years is the answer
Step-by-step explanation:
My account got deactivated I am about to cry
A bicycle wheel has a radius of 1.25 ft. How many feet will the bicycle travel after 75 revolutions? If necessary, round your answer to the nearest foot.
The bicycle will travel approximately 588.75 feet after 75 revolutions. Rounded to the nearest foot, the answer is 589 feet.
What is circumference?The distance along a circle's perimeter is referred to as its circumference.
The distance traveled by bicycle in one revolution is equal to the circumference of the wheel.
The circumference of a circle is given by the formula:
C = 2πr
where r is the radius of the circle and π is approximately 3.14.
In this case, the radius of the bicycle wheel is 1.25 ft.
Therefore, the circumference of the wheel is:
C = 2π(1.25) = 2.5π ft
After 75 revolutions, the distance traveled by bicycle is:
distance = 75 revolutions × 2.5π ft/revolution
distance = 187.5π ft
Using a calculator, we can approximate π as 3.14 and calculate:
distance ≈ 588.75 ft
Therefore, distance = 589 ft.
To learn more about the circumference;
https://brainly.com/question/12512221
#SPJ7
What expression can be used to subtract 2/3 - 4/9
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
1. [tex]\frac{2}{3} -\frac{4}{9}[/tex]
2. Multiply [tex]\frac{2}{3}[/tex] by [tex]\frac{3}{3}[/tex] to get a denominator equal to [tex]\frac{4}{9}[/tex]
3. [tex]\frac{2}{3} *\frac{3}{3} =\frac{6}{9}[/tex]
4. [tex]\frac{6}{9}-\frac{4}{9} =\frac{2}{9}[/tex]
The expression is: [tex]\frac{2}{3}*\frac{3}{3} -\frac{4}{9}[/tex]
Answer:
6/9-4/9
Step-by-step explanation:
ez pls mark branliest
h(x)= {1/x-5 , x=0
{-(x-4)^2, x=7
{ 3x-2, x~0,7
h(6)
Answer:
16
Step-by-step explanation:
h(x)=3x-2 in (0,7)
h(6)=3(6)-2=18-2=16
Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?
x + y < 45
x + y > 45
x + y ≤ 45
x + y ≥ 45
Answer:
The answer to the equation is: x + y ≥ 45
because In the question "Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?" Since the total time he spent on both is 45 minutes or more, it means that the sum of x and y is greater than or equal to 45. Therefore, the required equation is x + y ≥ 45
Step-by-step explanation: can u give brainliest please i am the fisrt person to answer u
Jamaal spent x minutes practicing guitar and y minutes on homework -> the total time he spent on both is x + y
It says that the total time is 45 minutes or more, which means the time he spent must be at least 45 minutes or above.
So, the option that fits the most is x + y ≥ 45
A public library has an aquarium in the shape of a rectangular prism. The base is 6 feet by 2.5 feet. The height is 4 feet. How many square feet of glass were used to build the aquarium? (The top of the aquarium is open.)
Answer:
83 ft^2
Step-by-step explanation:
6*2.5 (bottom)= 15
4*2.5*2 (one set of sides)= 20
4*6*2 (another set of sides)= 48
Add, 83 ft^2
Which decimal is the best approximation of √26?
5.1
5.5
5.9
I don't know.
Answer:
5.1
Step-by-step explanation:
√26 = 5.099
5.099 is approximately 5.1
Answer:
5.1
Step-by-step explanation:
k12 quiz :)
G= {(-5,5), (6, 8), (-5, -5)}
What is the domain and range
Answer:
I'm pretty sure domain is x and range is why which would mean that:
domain: -5,6
range: 5,8,-5
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting you time and I hope you find the right answer and may God bless you:)
9/25 of 5kg is equal to ?
Answer:
1.8 kg
...............
Answer:
1.8 kg
Step-by-step explanation:
please note the " / " symbol means "divided by"
9 / 25 of 5
to work this out, we first do 5 / 25 and then the answer x 9
so 5 / 25 = 0.2
0.2 x 9 = 1.8
1.8kg or 1,800g
Hope this makes sense. If you need further explanation, let me know!
- profparis
If I helped you, a brainliest would be appreciated :D
Latoya used 4 gallons of ginger ale, 1 gallon of orange juice, and 1 gallon of pineapple juice to make punch for her brother's birthday party.
How many cups of punch will Latoya have for her brother's birthday party?
Answer: 96 cups
Step-by-step explanation: A gallon holds 128 ounces there were 6 gallons used to make the punch. 128x6= 768 ounces
A cup holds 8 ounces so you would do 768/8 and that would give you 96 cups
Classify the following triangle. Check all that apply
Answer:
The answer is F, A
Step-by-step explanation:
It is a right and isosceles triangle
Answer:
right and isosceles
Step-by-step explanation:
the sum of the degree measurement of all triangles is 180
given are 45 and 45
45 + 45 = 90 so the other angle must be 90
a triangle with an angle of 90 degrees is always a right triangle
also
8^2 + 8^2 = 11.3^2
64 + 64 = 127.69
this is close enough to being true
an isosceles triangle is a triangle with 2 equal side lengths
this is an isosceles triangle because 8 = 8
A synthetic diamond has a density of 3.5 grams per cubic centimeter and a mass of 6.3 grams. What is it's volume?
Answer: 1.8 cubic cm
Step-by-step explanation:
What is the distance between the points (-1, 8) and (4.8) in the coordinate plane?
To find the distance between any points:
⇒ we must know the distance formula
⇒ Distance Formula: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } }[/tex]
[tex](x_{1} ,y_{1} )[/tex] --> (-1,8)[tex](x_{2} ,y_{2} )[/tex] --> (4,8)Let's Solve:
Distance Formula = [tex]\sqrt{(4--1)^2+(8-8)^2} =\sqrt{5^2} =\sqrt{25}[/tex] = 5
Thus the distance between the points is 5
Hope that helps!
Verify the following statements and name the property.
A- -6+(+2)
B- 19+(-2)=(-2)+19
C- -7+(-2)
[tex] - 6 - 2[/tex]
[tex] = - 4[/tex]
commutative property.
B- 19+(-2)=(-2)+19[tex] 19 - 2[/tex]
[tex] = 17[/tex]
commutative property.
C- -7+(-2)[tex] - 7 - 2[/tex]
[tex] = - 9[/tex]
closure property.
TO ALL AMAZING MATHMATICIANS PLS HELP ASAP, please do not put links in I won't click them and I know they're not the correct answer. Please these are urgent and I know its kind of tedious but i need help. Thank you so much to the kind smart person who ends up answering this.
Answer:
firast divide it by the nearest decimal, then convert your answer into simplest form and you will have your answer.
Step-by-step explanation:
Answer:
can you guys please teach me how to do that
the diagram shows the cross-section of a wall of a cinema.
Answer:
280 m²£133Step-by-step explanation:
The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.
__
Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...
Left Trapezoid
A = 1/2(b1 +b2)h
A = 1/2(10 m +11 m)(4 m) = 42 m²
Middle Rectangle
A = LW
A = (13 m)(11 m) = 143 m²
Right Trapezoid
A = 1/2(b1 +b2)h
A = 1/2(11 m +8 m)(10 m) = 95 m²
Wall Area
The total area to be painted is the sum of the above areas:
total area = 42 m² +143 m² +95 m² = 280 m²
The area that needs to be painted is 280 m².
__
A tin of paint covers 15 m², so the number of tins needed is ...
(15 m²)t = 280 m²
t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t
We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...
(£7 /tin)(19 tins) = £133
It will cost £133 to paint the wall.
Find the value of x that makes ABCD a parallelogram.
D
C
150°
5x
150°
B
O A. 5
O B. 6
C, 30
D. 10
Answer:
the answer is 6
Step-by-step explanation:
5x+150=180( cointerrior angle of traingle)
5x=30
x=6
Write the first six terms of the sequence.
with an explanation please! i have no idea how to solve this on my own
49, 36, 25, 16, 9, 4
============================================================
Explanation:
We always start with n = 1 when it comes to sequences and series problems.
Plug in n = 1 to get
[tex]a_n = (n-8)^2\\\\a_1 = (1-8)^2\\\\a_1 = (-7)^2\\\\a_1 = 49\\\\[/tex]
The first term is 49, showing that the answer is choice C.
We can stop here, but I'll show how to do another one to help you get practice. Plug in n = 2.
[tex]a_n = (n-8)^2\\\\a_2 = (2-8)^2\\\\a_2 = (-6)^2\\\\a_2 = 36\\\\[/tex]
I'll let you compute the other terms.
Answer:
49,36,25,16,9,4
Step-by-step explanation:
First, eliminate anwser A since it's all negatives, and when squaring, negatives (without imaginary numbers) are impossible.
Foil out the equation:
a=(n-8)^2
a=(n-8)(n-8)
a=n^2-8n-8n+64
a=n^2-16n+64
Now find the values by substituting values n>=1:
49=1^2-16(1)+64
36=4-32+64
etc.
find the volume
6ft
3ft
4tt
Answer:
72 i think.
Step-by-step explanation:
