Answers
Answer:
We want to "chop and round" the periodic number 0.9 at 3 digits.
First, remember that we can write our periodic number as:
0.9 = 0.9999...
Such that the nine repeats infinitely.
Now we want to chop it at the third digit, and then round.
To chop at the third digit we just "cut" the number at the third digit after the decimal point, we will get:
0.9 ≈ 0.999
Now we round.
Remember that to round a number, we need to look at the last digit after the decimal point.
If the last digit is 5 or larger, we round up, adding 1 to the previous decimal.
If the last digit is 4 or smaller, we round down, don't adding anything to the previous decimal.
in our number:
0.999
The last digit is a 9, so we round up.
Then we add "1" to the previous decimal
but the previous decimal is a 9, so when we add 1, it will transform into a 10.
So it also adds one to the previous decimal, which also is a 9, so the process repeats, this time adding 1 to the decimal to its left, in this case, that decimal will be the first decimal at the left of the decimal point.
So after rounding, we will get:
0.999 ≈ 1
Then we can conclude that:
he 3 digit chopping and rounding approximately of the number 0.9 is 1"
Related Questions
Find the products using suitable identity:
1.(3y –2z) (3y + 2z)
2.105 × 98
Answers
2)10,290
105
98
10290
(3y-2z) (3y+2z)
3y(3y+2z)-2z(3y+2z)
9y2+6yz-2z(3y+2z)
9y2+6yz-6yz-4z2
9y2-4z2
PLS HELP Leo is looking at two different savings plans. The first plan requires an initial deposit of $500 and grows at an annual interest rate of 2.5%. The second plan requires an initial deposit of $400 and interest grows continuously at a rate of 2% per year. Leo wrote a system of equations to represent the account balance of either plan, y, after x years. Which two equations are part of the system?
OPTIONS ARE BELOW
Answers
Answer:
First and Second option choices
Step-by-step Explanation:
1st case:
Initial deposit (P) = 500
Annual interest rate (r) = 2.5%
Account balance after x years, y = P(1+r/100)×
y = 500(1+2.5/100)×
y = 500(1+0.025)×
y = 500(1.025)×
2nd case:
Initial deposit (P) = 400
Annual interest rate (r) = 2%
Account balance after x years, y = P(1+r/100)×
y = 400(1+2/100)×
y = 400(1+0.02)×
y = 400(1.02)×
The correct option is (A) and (B)
What are Equations?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
Parts of an EquationThere are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation. Look at the image below to understand the parts of an equation.
Initial deposit (P) = 500
Annual interest rate (r) = 2.5%
Account balance after x years, y = P(1+r/100)^×
y = 500(1+2.5/100^)×
y = 500(1+0.025)^×
y = 500(1.025)^×
again,
Initial deposit (P) = 400
Annual interest rate (r) = 2%
Account balance after x years, y = P(1+r/100)×
y = 400(1+2/100)^×
y = 400(1+0.02)^×
y = 400(1.02)^×
Learn more about Algebra here:
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hlpppppppppppppppppppppppppppppppp
Answers
Answer:
c
Step-by-step explanation:
-7.5 is less than 6.5
What is the value of a in the equation 3 a plus b equals 54, when b equals 9?
15
18
21
27
Answers
Answer:
a=15
Step-by-step explanation:
3a+b = 54
Let b=9
3a+9 = 54
Subtract 9 from each side
3a+9-9= 54-9
3a = 45
Divide each side by 3
3a/3 = 45/3
a = 15
Answer:
[tex]3a+b=54[/tex]
[tex]3a+9=54\:[b=9][/tex]
[tex]3a=54-9[/tex]
Subtract 9 from both sides
[tex]3a=45[/tex]
Divide both sides by 3
[tex]\frac{3a}{3}=\frac{45}{3}[/tex]
[tex]a=15[/tex]
OAmalOHopeO
Which function is shown in the graph? A. y = (2 + x)/(1 - x) B. y = 5/(3 - x) c . y = (5x)/(1 + x) d. y = (5 + 3x)/(1 + x)
Answers
Answer:
I believe it's D
Step-by-step explanation:
You plug in 0 and you get 5 as your Y value
The function of the graph is y = (5 + 3x)/(1 + x), so the correct option is d.
What is graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
The graph is first shifted to the right by 4 units and another one to the left by 1/2.
So, we have:
y = (5 + 3x)/(1 + x)
Hence, the function of the graph is y = (5 + 3x)/(1 + x)
Read more about function transformation at:
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find the exact value of the indicated trigonometric functions for the acute angle a:
Given: tan a=2.4, Find: sin a and cot a.
Answers
Tan=24/10 ≈ 2.4
using Pythagoras theorem
x²=(24)²+(10)²
x²=576+100
x²=57600
x=√57600 => 240
Therefore
sina=24/240 => 0.1
cota=1/tana => 1/(24/10) => 10/24
Which graph represents the solution set to the following system of linear
inequalities?
ys2x+7
y>-3x-2
PLSS HELP!
Answers
Answer:
Step-by-step explanation:
I am not sure what your first inequality is saying y≤2x +7 or y≥2x+7
-the equation y> -3x-2 , has a negative slope m= -3 (the line is going down from left to right if is a negative slope) and it has to be a dotted line( <, or > is a dotted line, ≤, or ≥ is a solid line) so the answer must be either A or D
-if the second equation is y≤2x +7 then the answer is D because y has to be less than 2x+7 the area under the line will be include in the solution
--if the second equation is y≤2x +7 then the answer is A because y has to be greater than 2x+7 the area above the line will be include in the solution
Answer:
1 4/5
Step-by-step explanation:
2x+7>-3x-2
2x+3x>-2-7
5x/5>-9/5
=1 4/5
Thanks Hope It Help
Find the cos T. Round to the nearest 100th
Answers
Answer:
0.92 to nearest 100th.
Step-by-step explanation:
cos T = adjacent side / hypotenuse
= 12/13
= 0.9231
Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
A. (x - 1)(x-9)
B. (x + 1)(x-9)
C. (x - 1)(x+9)
D. (x + 1)(x + 9)
Answers
Answer:
Step-by-step explanation:
The zeros are located at x = 1 and x = 9. If x = 1 is a solution, then the factor is (x - 1); if x = 9 is a solution, then the factor is (x - 9). Choice A is the one you want. FOIL these out and you will get the equation for the quadratic.
In a right triangle the two legs are measures of 4x and 3x with a hypotenuse measurement of 5x. If the area of the triangle is 24 square units, find the cosine of each acute angle.
Answers
The cosine of the acute angles are 0.80 and 0.60 respectively
The given parameters are:
[tex]Leg\ 1 = 4x[/tex]
[tex]Leg\ 2 = 3x[/tex]
[tex]Hypotenuse = 5x[/tex]
Let the acute angles be [tex]\alpha[/tex] and [tex]\beta[/tex]
The cosine of the acute angles is calculated using:
[tex]\cos(\alpha) = \frac{Leg\ 1}{Hypotenuse}[/tex]
[tex]\cos(\beta) = \frac{Leg\ 2}{Hypotenuse}[/tex]
So, the formula becomes
[tex]\cos(\alpha) = \frac{4x}{5x}[/tex]
[tex]\cos(\alpha) = \frac{4}{5}[/tex]
[tex]\cos(\alpha) = 0.80[/tex]
and
[tex]\cos(\beta) = \frac{3x}{5x}[/tex]
[tex]\cos(\beta) = \frac{3}{5}[/tex]
[tex]\cos(\beta) = 0.60[/tex]
Hence, the cosine of the acute angles are 0.80 and 0.60 respectively
Read more about cosines at:
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Evaluate f-g+(-2) where f = -3.005 and g = 4.7
Answers
Answer:
-9.705
Step-by-step explanation:
f-g+(-2)
Let f = -3.005 and g = 4.7
-3.005 -4.7 -2
-9.705
If f(x) = x/2 -2 and g(x) = 2x+ +x= 3, find (f + g)(x).
Answers
Answer:
.
.
.❥︎ᴀᴀɴᴋʜ ᴜᴛʜɪ ᴍᴏʜᴀʙʙᴀᴛ ɴᴇ ᴀɴɢᴅᴀɪ ʟɪ ,
.ᴅɪʟ ᴋᴀ sᴀᴜᴅᴀ ʜᴜᴀ ᴄʜᴀɴᴅɴɪ ʀᴀᴀᴛ ᴍᴇ ❣︎
.
.
A translation is shown on the grid below. Which are true statements about the translation?
Answers
The sides of the image and pre-image are congruent
Each point has moved the same number of units
My homework is due soon, help!!
Answers
Answer:
50.24
Step-by-step explanation:
A = Area
Radius = 4 (The radius is half of the diameter
Diameter = 8
Pie = 3.14
A = (pie)r^2
A = (3.14)4^2
A = (3.14)16
A = 50.24
Can someone correct my work and answer/explain question C)
Marking Brainliest, 10 Points
Answers
Answer:
4 TOPPING WITH 5 CENTS LEFT
Step-by-step explanation:
A AND B ARE CORRECT ok so $6.50 to spend take out $3 for the cost of a plain hamburger which would leave you with $3.50 to spend on toppings alone so
3.5-0.75=2.75 (1 topping
2.75-0.75=2 (2 topping
2-0.75=1.25 (3 topping
1.25-0.75=0.5 (4 topping
there for you can get 4 toppings with 5 cents left over
find the missing length indicated
Answers
Answer:
192
Step-by-step explanation:
According to Euclidian theorem
x^2 = 144*(400-144)
x^2 = 144*256
x^2 = 36864 find the root of both
x = 192
can i get some help please
Answers
Answer:
X=
Step-by-step explanation:
x-1= 4x+3x+x-8
x-1 = 8x-8
shift places
8-1= 8x-x
7x = 7
X=7/7
X=1
I think so
please mark this answer as brainlist
Given: j(x) = x2 - 2x + 1
Which set of values represents the range of the function for the domain {0, 1, 5}?
Answers
Answer:
{1, 0, 16}
Step-by-step explanation:
given..
j(x) = x^2-2x+1
put all given values of domain (1,0 and 5 ) in the equation..
the values you get are range of the function
Answer: 1
Step-by-step explanation
0(2)-2(0)+1=0+0+1= 1
1(1)-(2)(1)+1=1-2+1= 1
(5)(2)-(2)(5)+1=10-10+1= 1
Simplify (square root 3)(^5 square root 3)
Answers
Answer:
[tex]3^{\frac{7}{10} }[/tex]
Step-by-step explanation:
[tex]\sqrt{3} *\sqrt[5]{3}[/tex] = 3^1/2 x 3^1/5 = 3^(1/2 +1/5) = 3^7/10
Answer:
Step-by-step explanation:
Exponent law: [tex]a^{m}*a^{n}=a^{m+n}[/tex]
[tex](\sqrt{3} ) )*(\sqrt[5]{3})= 3^{\frac{1}{2}}*(3^{\frac{1}{5}})\\\\=3^{\frac{1}{2}+\frac{1}{5}}\\\\=3^{\frac{1*5}{2*5}+\frac{1*2}{5*2}}\\\\= 3^{\frac{5}{10}+\frac{2}{10}}\\\\=3^{\frac{5+2}{10}}\\\\=3^{\frac{7}{10}}[/tex]
An airplane travels 3690 kilometers against the wind in 5 hours and 4490 kilometer with the wind in the Sam amount of time what is the rate of the plane
still air and what is the rate of the wind?
Answers
Step-by-step explanation:
Against the wind, the wind works against the speed. With the wind, the wind aids the speed.
4(p - w) = 2416
4(p + w) = 2896
p - w = 604
p + w = 724
2p = 1328
p = 664 mph
664 + w = 724
w = 60 mph
easy algebra question below first correct answer gets brainliest
Answers
Answer:
Y = 27
Step-by-step explanation:
To find the the value of y when x = 4 simply substitute the given value of x
into the equation and solve for y
Equation given: y - 3x = 15
x = 4 * substitute 4 for x in given equation *
y - 3(4) = 15
Now solve for y
simplify multiplication
y - 12 = 15
Add 12 to both sides
y - 12 + 12 = 15 + 12
y = 27
So we can conclude that when x = 4 y = 27
Answer:
y = 27
Step-by-step explanation:
y - 3x = 15
Let x = 4
y - 3(4) = 15
y - 12 = 15
Add 12 to each side
y -12 +12 =15+12
y = 27
hi! can i get some help with this question! :)
Answers
Hi there!
[tex]\large\boxed{log_b3b = 1.8397}[/tex]
Keep in mind the following log property:
logₓab = logₓa + logₓb
Thus:
[tex]log_{b}3b = log_{b}3 + log_{b}b\\\\[/tex]
We know the value of log_b3, and a log with the same values for the base equals 1. Thus:
[tex]log_b3b = 0.8397 + 1 = 1.8397[/tex]
4(1-2x)>32
solve for x
Answers
Answer:
x < -7/2
Step-by-step explanation:
First, perform the indicated multiplication:
4(1-2x)>32 becomes 4 - 8x > 32.
Next, isolate the -8x term by subtracting 4 from both sides of this inequality:
-8x > 28
Finally, solve for x by dividing both sides by -8. This requires that we reverse the direction of the inequality sign:
x < -28/8, or, after reduction, x < -7/2
Match each three-dimensional figure to its volume based on the given dimensions. (Assume π = 3.14.)
Answers
Answer/Step-by-step explanation:
✔️Volume of right cylinder = πr²h
Where,
π = 3.14
radius (r) = 4 cm
height (h) = 3 cm
Plug in the values into the formula
Volume of cylinder = 3.14*4²*3
= 150.72 cu cm
✔️Volume of cone = ⅓πr²h
Where,
π = 3.14
radius (r) = 5 cm
height (h) = 12 cm
Plug in the values into the formula
Volume of cylinder = ⅓*3.14*5²*12
= 314 cu cm
✔️Volume of pyramid = ⅓*Bh
Where,
Base area (B) = 16 cm²
height (h) = 30 cm
Substitute
Volume of pyramid = ⅓*16*30
= 160 cu cm
✔️Volume of square pyramid = ⅓*s²*h
Where,
Length of square base (s) = 3 cm
Height (h) = 16 cm
Substitute
Volume of square pyramid = ⅓*3²*16
= 48 cu cm
Which models best illustrates the inequality and its graph?
a.) tina can type at least 60 words per minute
b.)tina can type at most 60 words per minute
c.)tina can type no more than 60 words per minute
d.) tina can type more than 60 words per minute
Answers
Answer:
a)
Step-by-step explanation:
The graph shows a solid dot on 60 and shading to the right of 60, so it shows all numbers greater than or equal to 60.
a.) tina can type at least 60 words per minute
At least 60 means greater than or equal to 60.
This is the answer.
b.)tina can type at most 60 words per minute
This is less than or equal to 60.
c.)tina can type no more than 60 words per minute
This means less than or equal to 60.
d.) tina can type more than 60 words per minute
This means greater than 60.
Ba đường phân giác của tam giác ABC gặp nhau tại O phát biểu nào sau đây đúng
A Ao luôn vuông góc với BC
B OA=OB=OC
C Ao luôn đi qua trung điểm BC
D O cách đều ba cạnh của tam giác
Answers
Answer:
D
Step-by-step explanation:
từ O hạ đường vuông góc xuống các cạnh AB, AC, BC các đường vuông góc đó sẽ bằng nhau
Rhonda walked diagonally across a rectangular playground with dimensions 60 m by 45 m. She started at point C. Determine the angle, to the
nearest degree, between her path and the longest side of the playground.
B
45m
D
60 m
Answers
Answer:
37degrees
Step-by-step explanation:
In order to get the required angle, we will use the SOH, CAH, TOA identity.
Let;
Adjacent = 60m
Opposite = 45m
According to TOA:
tan theta = opp/adj
tan theta = 45/60
tan theta = 0.75
theta = arctan 0.75
theta = 36.86
Hence the angle, to the nearest degree, between her path and the longest side of the playground is 37degrees
more points for yal if u help <333
Answers
the answers are
A) Yes
B) No
Answers
because
Help me, please I'd appreciate it
Answers
Answer:
m = 36
Step-by-step explanation:
A^2 + B^2 = C^2
81 + 144 = 225
square root of 225 = 15
n = 15
m = ?
39 = 39
225 + m ^2 = 1521
m^2 = 1296
m = 36.
CHECK :
225 + 1296 = 1521
CORRECT!
