Answer:
im not an expert in math but i'll do my best:
1. an approximation is something that is almost, but not exactly something. for example, 5.02 is approximately 5. it's not EXACTLY 5, but it's around 5.
2. decimal place refers to the position of numbers after the decimal point. let's take the decimal number 7.89 for example. there are 2 numbers after the decimal point, which is 8 and 9. hence we say that 7.89 has 2 decimal places.
3. significant figure is kind of hard to explain, so i'll jump into the example straight away.
5.874 to 3 significant figures is 5.87. what i did was count 3 digits: starting from 5 to 7. to round to 3 significant figures, i look at the 4th digit, which is 4 in this case. if it's smaller than 5, i ignore everything past the digit 7, and leave the final answer as 5.87.
if the 4th digit is greater than or equal to 5, i add 1 to the 3rd digit THEN leave out all the numbers after the 3rd digit. (if this were the case, the answer would be 5.88)
lets take a trickier example, 0.064591
in this case i cannot start counting 3 digits starting from 0. i have to count starting from the number 6. the concept in this case is that the 1st significant figure cannot be a 0. in this case the answer to 3 significant figures would be 0.0646.
however, 0 can be a significant figure if it's after another number. for instance 0.90672
the 0 after the 9 would count as a significant figure because it's not the 1st significant figure in the number. however the 0 before the 9 would NOT count as one because 0 cannot be the 1st significant figure. the answer to 3 significant figures would be 0.907.
sorry this was so lengthy, i just hope this answers your question on what these are and how they work. good luck!
(1 x 3)+ (7 x 3) as a product of 2 factors
Answer:
3 + 21 = 24 and they are the product to the factors of 63
Step-by-step explanation:
Which system of equations is equivalent to the following system? 2x 4y = 14 4x y = 20 2x 4y = 14 â’16x â’ 4y = â’80 2x 4y = 14 â’4x y = â’20 4x 8y = â’28 4x y = 20 â’2x â’ 4y = 14 4x y = 20.
The equivalent equations of [tex]2x+ 4y = 14[/tex] and [tex]4x + y = 20[/tex]
are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]
The system of equations is given as:
[tex]2x+ 4y = 14[/tex]
[tex]4x + y = 20[/tex]
Multiply both sides of the equations by -4.
So, we have:
[tex]-4 \times (4x + y) = -4 \times 20[/tex]
Distribute the expression
[tex]-4 \times 4x -4 \times y = -4 \times 20[/tex]
Evaluate all products
[tex]-16x -4y = -80[/tex]
So, we have the following system of equations
[tex]2x+ 4y = 14[/tex]
[tex]-16x -4y = -80[/tex]
Hence, the equivalent equations are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]
Read more about equivalent equations at:
https://brainly.com/question/9603710
19. The passing marks in an examination is 40%. If Seema gets 130 marks, she fails by ups 2 marks. Find the total marks.
Given :-
Passing marks in an exam is 40% .Seema gets 130 marks and fails by 2 marks.To find :-
The maximum marks for the exam .Solution :-
According to the Question ,
[tex]\dashrightarrow[/tex] Passing marks = 40% .
[tex]\dashrightarrow[/tex] Seema's marks = 130 .
Let us take the maximum marks be x . Then ,
[tex]\dashrightarrow[/tex] Passing marks = 130 + 2
[tex]\dashrightarrow[/tex] Passing marks = 132
And , by question ,
[tex]\dashrightarrow[/tex] 40x/100 = 132
[tex]\dashrightarrow[/tex] x = 132 * 100/40
[tex]\dashrightarrow[/tex] x = 330
Hence the maximum marks for the exam is 330.
Given :
Passing marks in the examination = 40% . Marks obtained by Seema = 130 .So, Let us assume the maximum marks as x .
Also,
Passing marks = 132 [ ∵ Seema got 130 marks and she failed by 2 marks ]
According to the question :
[tex] \\ \tt : \implies\dfrac{40x}{100} = 132 \\ \\ \tt : \implies\dfrac{4 \cancel{0}x}{10 \cancel{0}} = 132 \\ \\ \: \: \: \tt \: : \implies 4x = 132 \times 10 \\ \\ \tt : \implies \: 4x = 1320 \\ \\ \tt : \implies \: x = \frac{1320}{4} \\ \\ \tt : \implies \: x = 330 \: \: \\ [/tex]
Hence, The total marks is 330 .
HELP HELP ME PLS I AM RUNNING OUT OF TIME!!!! HERE IS MY PROBLEM:
An attorney drove 9 1/4 miles from his home to a clients home and another 4 3/5 miles to get to his office. How far did he drive in total?
Answer:
Step-by-step explanation:
To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how.
Let's try it with the fractions
2
3
and
3
12
12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also.
Now you have the following:
8
12
and
3
12
These fractions now have common denominators! Now they're all set for adding or subtracting fractions.
Try another:
2
6
and
3
5
: The least common multiple of 6 and 5 is 30. (the product of the denominators)
Transform each fraction by multiplying by "1":
2
6
⋅
5
5
=
10
30
and
3
5
⋅
6
6
=
18
30
One last problem:
4
9
and
7
6
What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the LEAST number that you could use. How about 18? YES!
4
9
⋅
2
2
=
8
18
and
7
6
⋅
3
3
=
21
18
Ready to go...
Hope this helped!
Write the equation of a line with the given slope that goes through the given point.
7) through: (3, -5), slope = -1
5
8) through: (3, 2), slope
3
Answer:
7) y +5 = -(x -3)
8) y -2 = 5/3(x -3)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
__
7) y +5 = -(x -3)
8) y -2 = 5/3(x -3)
FRUIT Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase.
Answer:
Step-by-step explanation:
8 lbs of apples on the x-intercept
10lbs of peaches on y-intercept
which expression is equal to 4 to the power of 5 times 4 to the power of -7 divided by 4 to the power of -2
Step-by-step explanation:
4⁵ × 4^-7 / 4^-2
it is important to understand that a negative exponent means 1/...
a^-n = 1/(a^n)
in that sense we have therefore
4⁵ × 1/4⁷ × 4² (as (1/ 1/a^n) = a^n)
4⁵ × 4² × 1/4⁷ = 4⁷ × 1/4⁷ = 1
so, "1" is the fully simplified expression equal to the original expression.
How do we get 144 here?
Answer:
the correct answer is supposed to be 120, your almost there :)
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints. (2, -9) and (-4,-4)
Answer:
(-1,-6.5)
Step-by-step explanation:
midpoint formula: (x_m, y_m) = (x1+x2)/2),(y1+y2)/2)
(2-4)/2=-1, -9-4=-13/2=-6.5
=(-1,-6.5)
Kim's scores in the diving competition were 7.2, 6.975, 8.0, and 6.96. What is her total score?
how to solve x^2+x-90=0 in completing the square method
Rearrange the equation by writing
x² + x - 90 = 0
x² + x = 90
x² + x + 1/4 = 90 + 1/4
Recall that (a + b)² = a² + 2ab + b². Then
x² + 2 • x/2 + (1/2)² = 361/4
(x + 1/2)² = 361/4
x + 1/2 = ± √(361/4)
x = -1/2 ± 19/2
x = 9 or x = -10
The quotient of s and three
Answer:
s/3
Step-by-step explanation:
The quotient means you divide the two values.
Equations that represent a line parallel to y=8x+4
y=8x+b, b being any number, is parallel to y=8x+4.
For example:
y=8x+2
y=8x+(1/2)
y=8x+937382
y=8x-4
Would someone help me out?
A)56.6
B)58.4
C)53.5
Answer:
it is c
Step-by-step explanation:
a pond of a water has length20m and breadth 10m. how much kl of water should be taken out of the pond so that level of water should go down by 3m?
Answer:
600 kl
Step-by-step explanation:
The volume represented by a length of 20 m, a breadth of 10 m, and a depth of 3 m is ...
V = (20 m)(10 m)(3 m) = 600 m³
1 m³ = 1 kl
The volume of water that should be removed is 600 kl.
a pair of shoes is 80 dollars they are %25 off. how much money is %25 of 80 dollars
Answer
55$
Step-by-step explanation:
Write an equation for the proportional relationship shown in the table.
Answer:
y = 14x
Step-by-step explanation:
First Way of Finding the Equation:
We can find the equation for this proportional relationship by subtracting two of the y-values from each other and then dividing that by the difference of two of the x-values. For now, I'll use the points (2, 28) and (1, 14).
[tex]\frac{28-14}{2-1} =\frac{14}{1} =14[/tex]
So, this proportional relationship has an equation of y = 14x.
Second Way of Finding the Equation:
Another way of finding the equation is to simply examine the table given. What are all the x-values multiplied by to get to their corresponding y-values? Well, one easy way of answering this question is looking at the point (1, 14) - 1 × 14 = 14, so the constant of proportionality must be 14.
From this information, we know that the equation must be y = 14x.
Hopefully that's helpful! :)
2. There is a 0% chance that the earth is the closest planet to the sun.
A) unlikely
B) certain
C) likely
D) impossible
Answer:
D) Impossible
Step-by-step explanation:
Unlikely = < 50%Certain = 100%Likely = > 50%Impossible = 0%This would be B. It is certain that there is a 0% chance of the earth being the closest planet to the sun. Mercury is the closest. Earth is the third closest behind Mercury and Venus. Hope that helps.
Points A, B and C lie on a circle, centre O.
Angle AOC = 142°.
Find the value of y.
The value of y in the cyclic quadrilateral with ∠AOC(142°) is 38°
The diagram above represents a cyclic quadrilateral.
A cyclic quadrilateral has all it vertices on the circumference of the circle.
Therefore,
Opposite angles are supplementary. This means they add up to 180 degrees.
Therefore,
142° + y° = 180°
subtract 142 from both sides of the equation
142 - 142 + y = 180 - 142
y = 38°
learn more about circle theorem here: https://brainly.com/question/24795394
How can you split 20 into 3 groups
The answer is 6 per team with 2 left over, as (6 x 3) + 2 = 20
I thought of the largest amount that could be multiplied by 3, but the product would be less or equal to 20, that's how I got 6.
Then to find the left over remaining balls that are given out I subtracted 20-18 = 2.
A racing track is shaped like an oval. Each time around
the track is 1.2 miles. The total distance for the
race is 480 miles.
What percentage is one lap around the track of
the total race?
(b) How many laps will it take to complete 75% of the
race?
Answer:
Percentage of one lap around the track of
the total race = 0.25%
It will take 300 laps to complete 75% of the race.
Step-by-step explanation:
1.2/480=0.0025
0.0025*100=0.25
480/100*75= 360
360/1.2=300
in a class of 33 student 18 play football 1"basketball and 7 play both games how many students play non of the games
A cylinder has a height of 7 centimeters and a diameter of 4 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
V = 87.92 cubic cm
Step-by-step explanation:
V(cyl) = πr²h
V = 3.14(2²)(7)
V = 87.92
calculate (3×10^5) × (4×10^4) in standard form.
NEED HELP ASAP.
Answer:
12000000000
Step-by-step explanation:
did I add too many zeros????
10 to the 5 is multiply by 10 five times (100,000)
100,000 x 3 = 300,000
For the second thing, 10 to the 4 = 10,000
10,000 x 4 = 40,000
300,000 x 40,000 = 12000000000
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
2
Step-by-step explanation:
3:1=6:2
They buy 2 pepperoni pizzas.
when using the zero product rule you know at least one of the factors must equal *blank*
Answer:
The Principle of Zero Products states that if the product of two numbers is 0, then at least one of the factors is 0.
Step-by-step explanation:
Answer:
when using the zero product rule you know at least one of the factors must equal 0 because and most places anything that is put with zero equal zero because zero have no value
Step-by-step explanation:
Simplify.
(–12x) ÷ (–2)
6x
12x
3x
112x
hope this helps. leave a comment if you have a question.
Hello there!
Question:-[tex]( - 12x) ÷ ( - 2)[/tex]
This is an algebraic expression.We need to find the result of it.
Solution:-[tex]\sf \longmapsto (- 12x) \div ( - 2)[/tex]
This algebraic expression may be rewritten as:-
[tex]\sf \longmapsto \: \dfrac{ - 12x}{2} [/tex]
Cancel the minus (-) sign:-
[tex]\sf \longmapsto \dfrac{ \cancel - 12x}{ \cancel - 2} [/tex]
Then,cancel 12 and 2 by 2, 12 ÷ 2 results 6. (Don't cancel x):-
[tex]\sf \longmapsto \: \dfrac{ \cancel {12}x}{ \cancel{2}} [/tex]
[tex]\sf \longmapsto6x[/tex]
Option A
______________________________________
Henceforth the value of the algebraic expression is:
[tex]\boxed{\boxed{\displaystyle \huge 6x}}[/tex]
Option A is correct!
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
the elements of the periodic table are numbered from 1 to 118 and Atom's place on the table is determined solely by which property A mass number B number of protons C number of neutrons D number of electrons
The atom's place on the table is determined solely by its number of protons
A periodic table is a table containing different elements and arranged across the periods and groups of the table. The elements in a periodic table are numbered and arranged based on their atomic number.Since the atomic number is equal to the number of protons an element contains, hence we can conclude that the atom's place on the table is determined solely by its number of protons
Learn more about periodic table here;https://brainly.com/question/14514242
Answer:
number of protons
Step-by-step explanation:
is this a function
Find the domain and range
Answer:
Yes
Domain: 1, -1, 0, -3, 3
Range: 1, -1, 6
Step-by-step explanation:
The domain is in the left oval, the range is in the right oval. To find if its a function you have to make sure the domain (left side) doesn't "cheat". One number in the domain cant have more than one number in the range (right side), BUT (for future reference) the range can cheat. As shown, the right side numbers 1 and 6 have two different arrow pointed at them. As long as the domain doesnt "cheat" it is a function
I need to know the values of m and n.
Answer:
A) 32 and 28
Step-by-step explanation:
A= √4².√2
= √16.√2
= √32
m= 32
B= √2². √7
=√4.√7
=√28
n= 28