sorry for this being so long I'm a rush but ask questions pls.
Step-by-step explanation:
The question specifies ranges of possible lengths and masses. The length can vary from about 19.5 millimeters to almost 20.5 millimeters. The mass can vary from about 99.5g to almost 100.5g.
For more about my use of the terms about and almost, and the reason for the “.5” values, see the Notes at the end.
Now:
A smaller object with a given mass will have a higher density;
A larger object with a given mass will have a lower density;
An object of given size with a smaller mass will have a lower density;
An object of given size with a larger mass will have a higher density.
This could be summed up by saying that density varies inversely with size but varies directly with mass.
So the lowest density occurs with the largest length and the smallest mass, while the highest density occurs with the smallest length and the largest mass.
Within the bounds of error, the largest possible length is about 20.4999…mm while the smallest possible mass is 99.5g. So doing the density calculation with these numbers will give the lowest possible density.
Similarly, doing the density with a length of 19.5mm and mass of 100.4999…g will give the largest possible density within the error bounds.
Notes
The first issue is with the term “accurate to the given millimeter”. My interpretation follows the guidelines in Illustrative Mathematics (under Solution) and appears, from the text in that page, to be consistent with the Common Core (which is the way we teach math to kids these days in the U.S.)
In the context of measuring the diameter of a circle, it says:
Juan finds that the circle is 5 cm or 50 mm in diameter. Since the tape measure is accurate to the nearest millimeter, this means that the actual diameter is between 4.95 centimeters and 5.05 centimeters.
There’s a deeper issue associated with rounding. The most common rule is that 0.5 rounds up. Thus the quote above is not quite correct; the actual diameter is between 4.95 centimeters and just less than 5.05, but not 5.05 exactly which would round to 5.1 centimeters.
The example in the linked page probably doesn’t deal with this subtle issue because it’s for kids who have not yet been taught about things like repeating decimals or the conceptual complexity of perfect rounding. I dealt with it by specifying “…” in the values above.
Explain how you determine each of the two expressions of the equation when the mathematical statement is given in words. Explain how you determine each of the two expressions of the equation when the mathematical statement is given in words.
Answer: This can be done by properly interpreting the words into appropriate signs and digits.
Please check below for explanation of WORD PROBLEMS.
Step-by-step explanation: In mathematics, as you move to a higher level, you would encounter more of word problems than simply figures and signs. This simply means, you would be presented with series of statements that should be interpreted and hence an equation would be derived and then solution proffered. First it is really important to note that an equation only exists when the expression on one side is equal to that on the other side. Equally important are the following expressions;
(1) Sum refers to addition (plus)
(2) Difference refers to subtraction (minus)
(3) Product refers to multiplication (times) and
(4) Quotient refers to division (divide)
(5) The same as refers to equal to
Hence, interpreting the expression is largely determined by the use of any of the above expressions and the slightest error in interpreting negates everything afterwards.
So on the one hand, one set of statements will usually tell you that, "so and so is the same as" this and that. This is interpreted as "so and so" is equal to "this and that."
A simple example would help to illustrate this;
Illustration:
(a) Four times a number added to a dozen would result in seven times that same number.
Solution; Let the number be x. Four times a number means 4 times x, which gives you 4x.
Added to a dozen means you add 4x to a dozen, that is 4x + 12.
This would result in seven times that same number. Simply put, what you just did above (4x + 12) would result in or would be equal to 7 times x which is 7x. This now gives you,
4x + 12 = 7x.
Therefore to determine each of the two expressions of an equation is largely dependent on properly interpreting the words into the appropriate signs and figures (that is, plus, minus, times, divide and equal to).
Which of the following factors of production is unlikely to be found in a
command economy?
A. Entrepreneurship
B. Land
C. Capital
D. Labor
Option (A) is correct
What are factors of production?
" Factors of production are resources that are the building blocks of the economy; they are what people use to produce goods and services. Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship."
What are some examples of entrepreneurship as a factor of production?
An entrepreneur is a person who combines the other factors of production - land, labor, and capital - to earn a profit. The most successful entrepreneurs are innovators who find new ways to produce goods and services or who develop new goods and services to bring to market. Without the entrepreneur combining land, labor, and capital in new ways, many of the innovations we see around us would not exist. Entrepreneurs are a vital engine of economic growth helping to build some of the largest firms in the world as well as some of the small businesses in your neighborhood. Entrepreneurs thrive in economies where they have the freedom to start businesses and buy resources freely.
So, option (A) is correct
more about factor of production
https://brainly.com/question/988852
#SPJ2
Answer: entrepreneurship
Step-by-step explanation:
just took the quiz
the standard deviat
ion of the number 6,0,4,3and2is
Answer:
2
Step-by-step explanation:
First calculate the mean. This is done by adding the numbers and dividing by the count:
sum = 6+0+4+3+2 = 15
count = 5
mean = 15/5 = 3
Now create a table with the "squared deviation to the mean":
6: (6 - 3)² = 9
0: (0 - 3)² = 9
4: (4 - 3)² = 1
3: (3 - 3)² = 0
2: (2 - 3)² = 1
And sum these:
9+9+1+0+1 = 20
Divide by the count to find σ²:
σ² = 20/5 = 4
Hence σ = √4 = 2
what is the distance between ( -3, -4) and ( 6, -4) on the coordinate plane
Answer:
The distance between (-3, -4) and (6, -4) is 9 units.
Step-by-step explanation:
First, we must know the distance formula between two points.
[tex]Distance(d)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We will use (-3, -4) for (x₁, y₁) and we will use (6, -4) for (x₂, y₂).
[tex]Distance=\sqrt{(6-(-3)^2+(-4-(-4))^2)}[/tex]
[tex]Distance=\sqrt{(9)^2+(0)^2}[/tex]
[tex]Distance=\sqrt{81+0}[/tex]
[tex]Distance=9[/tex]
So, the distance between the two points is 9 units.
How can i Find the difference. in simplest form r/s - 9r/s
Answer:
simplest Form (fractions) A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers.
Step-by-step explanation:
To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers). hope this helps you :)
Answer:
-8r/s
Step-by-step explanation:
r /s - 9r /s
The denominator is the same so subtract the numerators
r - 9r
-8r
Put this back over the denominator
-8r/s
What is the value of the exponential expression below 16^ 1/2
Answer:
4
Step-by-step explanation:
16^1/2
= [tex]\sqrt{16}[/tex]
=4
Answer:4
Step-by-step explanation:
BIG BRAIN
A company sells two versions of an antivirus software. The home edition costs $23.50, and the business edition costs $58.75. Last week, the company earned $29,668.75 from selling 745 copies of the software.
If x represents the number of copies of the home edition sold and y represents the number of copies of the business edition sold, which system of equations represents this situation?
Answer:
x + y = 745
23.50x + 58.75y = 29,668.75
Step-by-step explanation:
Since 745 copies were sold and x represents the number of copies of the home edition sold and y represents the number of copies of the business edition sold:
x + y = 745
Since the home edition costs $23.50, and the business edition costs $58.75:
The money earned from home edition is = 23.50x
The money earned from business edition is = 58.75y
Since the company earned $29,668.75:
23.50x + 58.75y = 29,668.75
Can someone answer this for me?
=============================================================
Work Shown:
Break the figure up as shown by the dashed lines. Think of cutting along those lines to form 3 separate figures. The trapezoid on the left has area
A = h*(b1+b2)/2
A = 5*(11+12)/2
A = 57.5
The rectangle in the middle has area
A = L*W
A = 12*15
A = 180
The trapezoid on the right has area
A = h*(b1+b2)/2
A = 10*(12+9)/2
A = 105
Overall, the entire figure has area of 57.5+180+105 = 342.5 square meters
1 can costs £6 and it covers 15 square meters. We need to cover 342.5 square meters
342.5/15 = 22.8333333333333 approximately
Round up to the nearest whole number to get 23
We need 23 cans to be able to paint 342.5 square meters or more
Note that 22 cans won't be enough because 22*15 = 330 is short of 342.5
While 23 cans is more than enough since 23*15 = 345. It's better to have leftovers than come up short.
Since each can costs £6 and we need 23 of them, the total cost would then come to 6*23 = 138 pounds
Answer:
The figure consists of two trapeziums and a rectangle
Area of figure = Area of rectangle + Area of the two trapeziums
Area of rectangle = length × width
= 12m × 15m = 180m²
Area of first trapezium = 1/2(a+b) × height
= 1/2(12+11)×5
= 57.5m²
Area of second trapezium = 1/2(a+b) × height
= 1/2(9+12)×10
= 105m²
Area of figure = 180 + 57.5 + 105 = 342.5m²
If 15m² = 6£
342.5 = 342.5/15 ×6
= £ 137
Hope this helps.
HELP PLZZZZZZZZZZZZ!!!!!
Answer:
Option (1)
Step-by-step explanation:
''A perpendicular bisector makes 90° with the other line segment and divides the segment into two equal parts."
From the given picture,
If [tex]\overleftrightarrow{DE}[/tex] is a perpendicular bisector of [tex]\overline{AC}[/tex] following properties must be followed.
1). m(∠DBC) = m(∠DBA) = 90°
2). AB ≅ BC
Therefore, additional information we will require is AB ≅ BC
Option (1) will be the answer.
IM STUCK ON THIS QUESTION! I NEED HELP PLEASE
Answer: A (first option): y-intercept = 9, zeros = {1, -1, 3, -3}
Step-by-step explanation:
The y-intercept is where the graph crosses the y-axis.
The zeros are the x-intercepts which is where the graph crosses the x-axis.
The graph touches the y-axis when y = 9
The graph touches the x-axis when x = -3, x = -1, x = 1, and x = 3
What property is used in the second step of solving the inequality below?
Given
5x-9 <91
5x < 100
X<20
Multiplication Property
O Identity Property
O Addition Property
O Multiplication Property
O Transitive Property
Answer:
addition
Step-by-step explanation:
Find the circumference of a circle with a radius of 18 in. Leave your answer in terms of. 36πin. 18πin. 54πin. 324πin.
Answer:
36πin
Step-by-step explanation:
Formula for the circumference of a circle=2πr
r=18
2 · 18
=36
36·π
hope this helps
Find the least number which must be added to 6203 to obtain a perfect square.
Also, find the square root of the number so obtained.
Answer:
79
Step-by-step explanation:
78
---------
7 | 62 03
49
----------
148 | 13 03
11 84
-----------
19
-----------
78^2 = 6084.
We observe that 78^2 < 6203.
79^2 = 6241.
We observe that 79^2 > 6203.
Hence the number to be added to 6203 is 6241 - 6203 = 38.
6203 + 38 = 3241
= 79 * 79
= 79.
Therefore 38 should be added to 6203 to obtain a perfect square.
The formula F=1.8C + 32 is used to convert temperatures between degrees Fahrenheit (F) and degrees Celsius (C). How many degrees Fahrenheit is it if it is currently 30º C?
Answer:
86 degrees
Step-by-step explanation:
Which is the graph of x Greater-than-or-equal-to 98.6? A number line going from 95 to 103. A closed circle is at 98.6. Everything to the right of the circle is shaded. A number line going from 95 to 103. An open circle is at 98.6. Everything to the right of the circle is shaded. A number line going from 95 to 103. An open circle is at 98.6. Everything to the left of the circle is shaded. A number line going from 95 to 103. A closed circle is at 98.6. Everything to the left of the circle is shaded.
Answer:
The correct option is;
A. A number line that goes from 95 to 103. A closed circle is at 98.6. Everything to the right is shaded.
Step-by-step explanation:
To represent x greater-than-or-equal-to 98.6 on the number line we note that an open circle stands for either a less than or a greater than, while an open circle stands for either less than or equal to or greater than or equal to
The correct way to represent x greater than or equal to 98.6 on the number line, we indicate the point 98.6 with a closed circle and we shade everything in the region of the solution which is to the right of the closed circle
Therefore the correct option is A. A number line that goes from 95 to 103. A closed circle at is at 98.6. Everyting to the right is shaded.
Answer:
the correct answer is A
Step-by-step explanation:
You are walking directly away from your house. You are 5 miles away from your house when you start walking, so you can determine your distance by adding 5 to the number of miles you have walked. In the equation below, X represents the number of miles you have walked, and Y represents your distance from home in miles.
Answer:
The independent variable is the number of miles you walked.
Unfortunately, I do not know the dependant variable.
Step-by-step explanation:
so do it urself. :)
what is the answer to: 3 x 4 + 15- 19 x2037? help
Answer: -38,686
Step-by-step explanation:
3 x 4= 12
-19 x 2037= -38,703
12 + 15= 17
17 -38,703= -38,686
Please! Can someone help me with this task I do not understand?
Answer:
Given
Hope this helps
Step-by-step explanation:
The task explains how to draw a circle. So first attach a thumbtack in between the paper. This will be the midpoint of the circle
Tie one end of thread to it and the other end to a pencil. So when you travel the pencil around, a circle will be formed.
The length from one end of the circle to the other end (which pases the centre) is the diameter. Half of that is the radius
Circumference is the length around the circle which is πd
An easier way to draw the circle is by simply using a compass instead.
What is ? 5(x+y)-3(x+y)
Answer:
2(x+y)
Step-by-step explanation:
Simple 5-3 with some added variables that don't change.
16 is what percent of 80? A 15% B 20% C 25% D 30%
Answer:
20%
Step-by-step explanation:
16/80= ?/100
16 times 100 is 1600
1600 divided by 80 is 20%
hope this helps
Answer:
B. 20%
Step-by-step explanation:
16 as a percent of 80 can be written as:
16/80
Simplify the fraction using the greatest common factor 16.
16÷16/80÷16
1/5 = 0.2
1/5 as a percent is 20%.
3 3/5 times (-8 1/3)
Answer:
-30
Step-by-step explanation:
3 3/5 × -8 1/3
Turn to improper fractions.
18/5 × -25/3
Multiply.
-450/15
Divide.
= -30
QUICKKKKKK HELPPPPLines a and b are parallel and lines e and f are parallel. Vertical and parallel lines a and b are intersected by horizontal lines e and f. At the intersection of lines a and e, the top left angle is angle 1 and the top right angle is angle 2. At the intersection of lines b and e, the bottom left angle is angle 3. At the intersection of lines b and f, the uppercase right angle is angle 4 and the bottom left angle is angle 5. If m1 = 89°, what is m5? 1 89 91 179
Answer:
It is 91
Step-by-step explanation:
:)
Answer:
C: 91
Step-by-step explanation:
Unit test Edge 2021
If x 3=-27, then what is x?
-3
3
9
Question #8MultipleChoice
Answer:
x=-9
Step-by-step explanation:
3 x=-27
x = -9
Answer:
-9
Step-by-step explanation:
x3 = -27 OR 3x = -27
3x/3 = -27/3
x = - 9
Find the square root of 0.925 using long division method...
Answer:
0.96176920308
Step-by-step explanation:
i think so
3:7 ratio what fraction does he get
Answer:
3/10
Step-by-step explanation:
Josh and Lucy share some money in the ratio 3:7.
3+7=10
The fraction Lucy gets is 7/10
The fraction Josh must get is 3/10.
Evaluate the expression. r = , v = , w = v ⋅ w (5 points)
Answer:
Step-by-step explanation:
what is the length of this line? khan academy - Distance between two points
Answer:
D = √[(x2 - x1)² + (y2 - y1)²]
Step-by-step explanation:
Given a right-angled triangle, with sides: Hypotenuse D, and opposites (x2 - x1) and (y2 - y1).
Then by Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the opposite side.
That is,
D² = (x2 - x1)² + (y2 - y1)²
Now, taking square roots of both side, we have the formula for the distance or length D.
D = √[(x2 - x1)² + (y2 - y1)²]
i lost my old brainly account name it was called official norths :( i forgot the password i will love if you help me with this please The formula F=1.8C + 32 is used to convert temperatures between degrees Fahrenheit (F) and degrees Celsius (C). How many degrees Fahrenheit is it if it is currently 30º C?
Answer:
86° Fahrenheit
Step-by-step explanation:
F=1.8C + 32
C=30°
Plugging into the formula:
[tex]F=1.8*30+32\\F=54+32\\F=86[/tex]
The Fahrenheit for 30° Celsius using the given formula is 86° Fahrenheit.
Answer:
86 degrees
Step-by-step explanation:
What is the decimal multiplier to decrease by 25%?
Answer:
0.75
Step-by-step explanation:
A decrease of 25% becomes 75% of the original number. 75% as a decimal is 0.75.
Answer:
0.75
Step-by-step explanation:
100(0.75)=75
Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the year. What is the value of the annuity at the end of 5 years, rounded to the nearest dollar? It is
Answer:
$10,400
Step-by-step explanation:
If 2,000 dollars are being invested at the beginning of each year and gets a 4% interest at the end that means 2,000*104%=$2,080
It also continues on for 5 years so 2,080*5=$10,400
Answer:
10833
Step-by-step explanation
Use the formula
Sₙ=a₁ [tex]\frac{1-r^n}{1-r}[/tex]
a₁= 2000
r= 1+4%=1.04
n=5
plug back into equation
S₅=2000[tex]\frac{1-1.04^5}{1-1.04}[/tex] =10832.6
Rounded to the nearest dollar $10,833