Answer:
3×6²
3×36
108 is the answer weirdo
Round off each of the following to the number of significant figures as given
in brackets.
(a) 3748 (3 s.f.)
(b) 0.004 709 89 (4 s.f.)
(c) 4971 (2 s.f.)
(d) 0.099 99 (2 s.f. and 3 s.f.)
Answer:
(a) 3750 to 3 s.f
(b) 0.004710 to 4 s.f
(c) 5000 to 2 s.f
(d) 0.10000 to 2 s.f
0.10000 to 3 s.f
Step-by-step explanation:
Things to note when rounding off a number to a number of significant figures:
For a given number,
i. the most significant digit is the leftmost digit as long as it is not zero. For example, in 789, the most significant digit is 7.
ii. when rounding off to m significant figures, the least significant digit is the mth digit from the most significant digit. This can be zero. For example, to round off 789 to 2 significant figures, the least significant digit is 8 (since it's at position 2 starting from 7).
iii. every digit from the least significant digit is a non-significant digit. For example, to round off 789 to 2 significant digit, the digits after 8 (which is the least significant digit) are all non-significant. In this case, 9 is not significant. After rounding off, these non-significant digits are changed to zero.
iv. the first non-significant digit is the digit just after the least significant digit. For example, to round off 789 to 2 significant digit, the digit just after 8 (which is the least significant digit) is 9. Therefore, 9 is the first non-significant digit.
Rounding off rules
i. the least significant digit will be unchanged if the first non-significant digit is less than 5.
ii. the least significant digit will be increased by 1 if the first non-significant digit is greater than or equal to 5.
iii. all non-significant digits are either removed or changed to zero depending on whether the number is a decimal.
(a) 3748 (3 s.f)
The least significant digit here is 4 since it is at position 3 starting from the most significant digit 3
The first non-significant digit is 8 which is greater than 5.
Therefore, the least significant digit 4 is increased by 1 to get 5 and the non-significant digits (8 in this case) are changed to 0.
The result is thus 3750.
(b) 0.004070989 (4 s.f)
The least significant digit here is 0 since it is at position 4 starting from the most significant digit 4
The first non-significant digit is 9 which is greater than 5.
Therefore, the least significant digit 0 is increased by 1 to get 1 and the non-significant digits (8 and 9 in this case) are changed to 0.
The result is thus 0.004071000.
The ending zeros can be removed to give 0.004071
(c) 4971 (2 s.f)
The least significant digit here is 9 since it is at position 2 starting from the most significant digit 4.
The first non-significant digit is 7 which is greater than 5.
Therefore, the least significant digit 9 is increased by 1 to get 10. This is a sort of overflow. This means that the least significant digit will be 0 and a 1 will be added to the significant digit before it (5 in this case which will become 6 due to the addition). The non-significant digits (7 and 1 in this case) are changed to 0.
The result is thus 5000
(d) 0.09999 (2 s.f)
The least significant digit here is 9 since it is at position 2 starting from the most significant digit 9.
The first non-significant digit is 9 which is greater than 5.
Therefore, the least significant digit 9 is increased by 1 to get 10. This is a sort of overflow.
This means that the least significant digit will be 0 and a 1 will be added to the significant digit before it (9 in this case which will become 10 due to the addition).
This addition also causes an overflow thereby causing 1 to be added to the digit before it (0 in this case which will become 1 due to the addition). The non-significant digits (9 and 9 in this case) are changed to 0.
The result is thus 0.10000
The ending zeros can be removed to give 0.1
d (ii) 0.09999 (3 s.f)
The least significant digit here is 9 since it is at position 3 starting from the most significant digit 9.
The first non-significant digit is 9 which is greater than 5.
Therefore, the least significant digit 9 is increased by 1 to get 10. This is a sort of overflow.
This means that the least significant digit will be 0 and a 1 will be added to the significant digit before it (9 in this case which will become 10 due to the addition).
This addition also causes an overflow thereby causing 1 to be added to the digit before it (9 in this case which will become 10 due to the addition).
This addition also causes an overflow thereby causing 1 to be added to the digit before it (0 in this case which will become 1 due to the addition). The non-significant digits (9 in this case) are changed to 0.
The result is thus 0.10000
The ending zeros can be removed to give 0.1
1.
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A. (–2, –1); maximum
B. (–2, –2); maximum
C. (–2, –1); minimum
D. (–2, –2); minimum
Answer:
D. (–2, –2); minimum
Step-by-step explanation:
It’s D you got to see the lowest part of the graph and you will call it mini except if the graph was going down you will call that point maximum.
Answer:
D. (-2, -2); minimum
Step-by-step explanation:
The vertex is the where the curve turns up/down which divides the figure into two halves.
From the given graph, the graph turns up at (-2, -2) , the graph moves down, therefore, the vertex (-2, -2); minimum.
Hope this will helpful.
Thank you.
pleaseee help me! :(
Answer:
x=72°
Step-by-step explanation:
given,
DEF=216°
DF =360-216
144°the value of x=144/2( inscribed angle is half of its arc)
72°stay safe healthy and happy....M⁵ = what when m = ⅔
Answer:
Step-by-step explanation:
M^5
(2/3)^5
2^5/3^5
32/243
Answer:
0.13
Step-by-step explanation:
M ^5
Divide 2/3
Equals 0.6667
0.6667 ^ 5
Equals 0.13 Rounded
The air you breathe is 1/5 oxygen. What percent of the air is made up of other gases?
Answer:
80%
Step-by-step explanation:
1/5 is about 20%, so the remaining 4/5 is the remaining 80% of the air
Question 2
A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, what will be the effect on the area?
Answer
F ) It will increase by 12 square feet.
G )It will decrease by 12 square feet.
H )
It will increase to 39 square feet.
J )
It will decrease to 12 square
feet.
Answer:decrease by 12 feet
Step-by-step explanation:I did the math
A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, the new area will be decreased by 12.
How does the area of a rectangle, and its length and width related?The area of a rectangle is the product of its length and width.
If a rectangle has a length L units and a width of W units, then
Area = L × W squared units.
A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, what will be the effect on the area.
Area = L × W
Let the length and width are x and y
27 = x × y
xy = 27
The new area if its length and width are changed to 2/3 of their original size
Area = L × W
[tex]27 \times 2/3 \times 2/3\\\\= 3 \times 4\\\\= 12[/tex]
Therefore, the new area will be decreased by 12.
Learn more about the area of a rectangle here:
https://brainly.com/question/4887838
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Please help!
A car salesman sells 1 car on his first day, 2 cars on his second day, 4 cars on his third day, and so on, so that every day after the first, he sells twice as many cars as the day before. How many days does it take him to sell a total of at least 1000 cars?
Answer:
10
Step-by-step explanation:
every day he doubles the number of sold cars compared to the previous day.
so the sequence goes along the powers of 2 :
1
2
4
8
16
32
64
128
256
512
1024 - so, latest here, of course, at least 1000 cars were sold. that would be day 11.
but - maybe we reached the total of 1000 cars already before that.
as you can see, the number of cars sold on a day is 1 bigger than the sum of cars sold on all previous days.
e.g. 8 = 4 + 2 + 1 + 1
64 ÷ 32 + 16 + 8 + 4 + 2 + 1. + 1
therefore, 1024 is bigger by 1 than the sum of the cars Sikhs before that day. so, that sum is 1023 and bigger than 1000.
so, with the 512 cars sold on day 10 he reached and surpassed the total 1000 sold cars mark.
It takes 11 days for the salesman to sell at least 1000 cars.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We can set up an inequality to represent the total number of cars sold after n days using a geometric series, where "a" is the initial number of cars sold, "r" is the common ratio of the series, and "n" is the number of days.
The inequality is : a(1-rⁿ)/(1-r) ≥ 1000
In this case, the initial number of cars sold is 1, the common ratio is 2, and we're trying to find the number of days it takes to sell at least 1000 cars. So we can plug these values into the inequality:
1(1-2ⁿ) ≥ 1000
1-2ⁿ ≥ 1000
2ⁿ ≤ 999
Now we can take the log base 2 of both sides
n ≤ log₂(999) +1
n ≤ 9.97+1
n ≤ 11
As the number of days is an integer, it takes 11 days for the salesman to sell at least 1000 cars.
Learn more about inequalities here:
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Can someone pls help me find X and Y
Answer:
y = 35°
z = 90°
Step-by-step explanation:
the angle labeled as 35° and the angle labeled as 'y' are alternate-interior angles and are congruent
therefore, y = 35°
the third angle of the triangle on the left is 180-(90+35) = 55
therefore, this angle is vertical with the angle opposite it which is also 55°
to find 'z', you can add the two known angles of 55 and 35 and subtract the sum from 180 to get 90°
5y + 1 = 31 what’s the solution of y
Answer:
y = 6
Step-by-step explanation:
5y + 1 = 31
Subtract 1 from each side
5y + 1-1 = 31-1
5y = 30
Divide by 5
5y/5 = 30/5
y = 6
Answer:
y = 6
Step-by-step explanation:
5y means 5 multiplied by something. 5y + 1 equals 31. So 5 multiplied by 6 equals 30 + 1 = 31, which is the given answer.
dèez nuts in your mouth lol
Answer:
free
Step-by-step explanation:
points .-.
What is the volume of this rectangular prism?
2/5cm
2/5cm
2/5cm
___cm3
Answer:
8/125cm3
Step-by-step explanation:
A=lxwxh
A=2/5 x 2/5 x 2/5
A=8/125cm
I hope this helps <3
Help please! Using the Counting Principle, determine how many outcomes are possible.
A car comes in 7 different colors, 4 different interior packages, and 4 different tire types.
Answer:
112
Step-by-step explanation:
7 x 4 x 4 = 112
112 unique outcomes
Yuhh I need help anyone??
f ( 4 ) = - 10
___________
g ( x ) = 2 , x = 0
please help i was supposed to be done already
ILL GIVE YOU BRAINLIST PLS ANSWER RN RLY RLY NEED THIS
Answer:
1. 1/2
2. .5
3. 50%
Step-by-step explanation:
2 of the types of cards out of 4 is 2/4 which is half
Answer:
1/2 or unsimplified: 26/52
.5
50%
Step-by-step explanation:
half of the cards are a diamond or club so the probability is one out of 2 which is one half
1/2 equals .5
then a 50% chance because 50% is half of 100%
BE
What is the rate of change of the function represented by the table?
Х
1
у
5
2
5
3
5
4
5
1
оооо
5
In one area, the lowest angle of elevation of the sun in winter is 28°. Find the minimum distance x that a plant needing full sun can be placed from a fence that is 6 feet high. Round your answer to the tenths place
Answer:
[tex]l_d=11.28ft[/tex]
Step-by-step explanation:
From the question we are told that:
Angle [tex]\theta=28 \textdegree[/tex]
Height of Fence [tex]h=6 feet[/tex]
Generally the equation for Length of shadow cast by the fence is mathematically given by
Since
Shadow cast forms a right angle triangle
[tex]l_d=\frac{h}{tan \theta}[/tex]
[tex]l_d=\frac{6}{tan 28}[/tex]
[tex]l_d=\frac{6}{tan 28}[/tex]
[tex]l_d=11.28ft[/tex]
Therefore the minimum distance x that a plant needing full sun can be placed from a fence that is 6 feet high is
[tex]l_d=11.28ft[/tex]
HELP ASAP!!! NO LINKS!!! WILL REPORT!!!
Answer:
Step-by-step explanation:
Use trig ratios to solve for x. Side x is adjacent to the reference angle of 61 degrees, and the side that measures 59 is opposite the reference angle. This is the tangent ratio:
[tex]tan61=\frac{59}{x}[/tex] and
[tex]x=\frac{59}{tan61}[/tex] so
x = 32.7
The value of the expression 3^-4 • 3^-5 is
Answer:
3^-9
Step-by-step explanation:
3^-4 • 3^-5
We know that a^b * a^c = a^(b+c)
3^-4 • 3^-5 = 3^(-4-5) = 3^ -9
Mia´s family arrived at their destination at 6:00 p.m after a 2-hour trip on a plane.
what time did Mia´s family leave?
Answer:
4:00 p.m is corrcet
Step-by-step explanation:
Jeremy constructed this solid by combining two rectangular prisms and a square pyramid.
A rectangular prism with a length of 6 meters, width of 14 meters, and height of 2 meters. A rectangular prism with a length of 5 meters, width of 8 meters, and height of 3 meters. A square pyramid with a base of 6 meters by 6 meters and triangular sides with a height of 7 meters.
What is the surface area of this figure?
_____________ square meters
320
322
368
386
Answer:
368 square meter
Step-by-step explanation:
just guessing
Answer:368
I got it right
Emma made 25 cookies. She gave cookies to her mom. Then, she split the remaining cookies evenly among 4 friends. Which expressions represent this scenario? Select all that apply. A (25+c)÷4 B 25÷4−c C 25−c4 D 25−4c E 25−c÷4 F (25−c)÷4 PLEASE HURRY
Answer: F. (25 − c) ÷ 4
Step-by-step explanation:
Emma had 25 cookies and gave c cookies to her mom and then divided the rest evenly amongst her 4 friends.
The cookies she shared to her friends are the 25 cookies minus the number of cookies she gave her mom which is:
= 25 - c
This (25 - c) was divided by 4 with each portion given to a friend so the total each friend got was:
= (25 - c) / 4
Which number line shows the solutions to n > 0?
Answer:
1st Option is correct
Step-by-step explanation:
Hope it is helpful....
Answer:
the third one is the ans.
A triangle on the coordinate plane has vertices (-8,3), (3,9) and (9,3). What is the area, in square units, of the
triangle?
Answer: 51 sq units
Step-by-step explanation:
after plotting the vertices, the height of the triangle is 6 and the base is 17
A = 1/2(6)(17)
A = 51 sq units
what is 713.49 written in standard form?
Answer: Seven hundred thirteen point forty-nine.
Step-by-step explanation: Hope this helps ;)
if my grade is a 91, and i get a 60 on a quiz, what will my grade change to?
If f(x) 2(3x) 1, what is the value of f(2)?
What is the value of x?
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
(NR) Natural Resources:Question 7
What are natural resources?
6. help me out please ill mark you brainlist
Answer:
w = 5
Step-by-step explanation:
Combining like terms is a very important part to this equation!
5.2w - 1.4 = 3.2w + 8.6
I added 1.4 to the right side first, though you must do it to the left side of the equation as well
5.2w - 1.4 + (1.4) = 3.2w + 8.6 + (1.4)
5.2w = 3.2w + 10
Combine the remaining like terms. I subtracted 3.2w from both sides.
5.2w + (-3.2w) = 3.2w + (-3.2) +10
2w = 10
Now divide
2w = 10
w = [tex]\frac{10}2}[/tex]
w = 5