Answer:
3
.
¯
2
=
29
9
Explanation:
Using the notation of a bar over a set of digits to denote their infinite repetition,
let
x
=
3
.
¯
2
⇒
10
x
=
32
.
¯
2
⇒
10
x
−
x
=
32
.
¯
2
−
3
.
¯
2
=
29
⇒
9
x
=
29
∴
x
=
29
9
This technique works in general. Set
x
as your desired value, multiply by
10
n
where
n
is the number of digits repeating, and then subtract
x
to eliminate the infinitely repeating portion. It then is just a matter of dividing by
10
n
−
1
a
Step-by-step explanation:
x=536/165
you should know what to do since your in this part of the unit
Which sequences are arithmetic? Select three options.
–8.6, –5.0, –1.4, 2.2, 5.8, …
2, –2.2, 2.42, –2.662, 2.9282, …
5, 1, –3, –7, –11, …
–3, 3, 9, 15, 21, …
–6.2, –3.1, –1.55, –0.775, –0.3875, …
Answer:
it should be 2nd option, 3rd, and 5th.
Step-by-step explanation:
From the given options
options I, III and IV are Arithmetic sequences.
Given :
we are given with sequences. we need to check which one is arithmetic sequence.
A sequence is arithmetic when the consecutive terms have common difference.
Lets check one by one
[tex]-8.6, -5.0, -1.4, 2.2, 5.8,......\\-5-(-8.6)=3.6\\-1.4-(-5)=3.6\\2.2+1.4=3.6\\[/tex]
Its arithmetic because common difference is same 3.6
2, –2.2, 2.42, –2.662, 2.9282, …
-2.2-2=-4.2
2.42+2.2=6.62
Its not arithmetic
5, 1, –3, –7, –11, …
1-5=-4
-3-1=-4
-7+3=-4
-11+7=-3
Common difference is -4. So it Arithmetic
–3, 3, 9, 15, 21, …
3+3=6
9-3=6
15-9=6
Its Arithmetic
–6.2, –3.1, –1.55, –0.775, –0.3875, …
-3.1+6.2=3.1
-1.55+3.1=1.55
Its not Arithmetic
So, options I, III and IV are Arithmetic sequences.
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2. Toby Vail.
Annual gross pay of $18,200.
Personal exemptions of $1,500.
State tax on first $3,000: 1.5 percent.
Tax on amount over $3,000:
3 percent.
Answer:
Toby Vail wis taxed for $456
Step-by-step explanation:
First, we make the deductions:
gross pay 18,200 - 1,500 deductions = 16,700 taxable income
Now, we make the tax-calculations:
first $3,000 x 0.015 = $ 45
above:
(16,700 - 3,000) x 0.03 = $411
Total tax levied from the State: $45 + $411 = $456
Notice how the tax is calcualte in brackets to solve for the different taxation rate at different income levels.
Gena's grandparents live 335.5 miles from Gena's house on a trip to visit them she drove 105.6 miles and stop to get something to eat she drove another 180 miles and stop for gas how many miles father did she have to drive to reach her grandparents house
Answer:
49.9
Step-by-step explanation:
335.5 minus 105.6 minus 180 = 49.9
Overview of transformation
Answer:
THE banking industry’s collective response to the pandemic thus far has been notable. It was no easy feat to go fully virtual and execute an untested operating model in a matter of weeks. Despite some hiccups, many banking operations were executed smoothly. Customers were served, employees were productive, and regulators were reassured. Banks effectively deployed technology and demonstrated unprecedented agility and resilience.
Solve: x + 1 > -5 (7-2x)
Answer:
x < 4
Step-by-step explanation:
Please see attached picture for full solution.
evaluate f(g(5)) if F (x) = 5x + 2 and g (x) =X2 -4
Answer:
Step-by-step explanation:
g(5) = 5^2 - 4 = 25 - 4 = 21
f(21) = 5(21) + 2 = 105 + 2 = 107
When a number is doubled and then added to 24,the result is 49
Answer:
Algebraic equation ; 2x+24 =49
x = 12.5
Step-by-step explanation:
Let the unknown number be x
[tex]2(x) +24 =49\\\\2x +24 =49[/tex]
Collect like terms and simplify
[tex]2x =49-24\\2x =25\\[/tex]
Divide both sides of the equation by 2
[tex]\frac{2x}{2} = \frac{25}{2} \\\\x = 12.5[/tex]
When three times the sum of a number and seven is increased by ten, the result is four. What is the number ?
Answer:
x=9 :))
Step-by-step explanation:
First set up your equation.
"3 times" is multiplication
"THE SUM of A NUMBER and seven" that is parenthesis because of the multiplication before it
"is increased by ten" that is an addition at the end
Now we have 3(x+7)+10=4
Solve your equation!
Distribute the 3 now we have 3x+21+10=4
Add like terms
now it should look like this... 3x+31=4
Subtract 31 from both sides and it looks like...
3x=27
Divide by the x-value
x=9
The value of the number will be -9.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
The word expression is;
''Three times the sum of a number and seven is increased by ten, the result is four. ''
Now, Let a number be x.
Then, we can formulate the expression as;
3 (x + 7) + 10 = 4
Solve the expression for x as;
3 (x + 7) + 10 = 4
3x + 21 + 10 = 4
3x + 31 = 4
3x = 4 - 31
3x = -27
x = -9
Thus, The value of the number will be -9.
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explain how to use a graph of the function f(x) to find f(3)
Answer:
Just find the coordinate at the point where the x-coordinate is 3
Step-by-step explanation:
F(x) is just another term for Y. The variable of X is the value that you input into the f(x), which just stands for a function. Since the value that they asked for was 3, you know that they inputted the value of 3 as x. Just look where the coordinate at the point where the x-coordinate is 3 to find the answer.
Answer:
Sample Response: For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.
Step-by-step explanation:
answer on edge2020
What is the value of the expression below when z = 7 and w=10?
7z +10w
Answer:
149
Step-by-step explanation:
z = 7 and w = 10
Equation:
7z + 10w
Substitution:
49 + 100
Answer:
149
Hope this helps :)
The required value of the given expression at z = 7 and w = 10 is given as 179.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
z = 7 and w = 10
Now put these values in the given expression,
= 7z + 10w
= 7 × 7 + 10 × 10
= 49 + 100
= 149
Thus, the required value of the given expression is given as 179.
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Sam wanted to find the difference 10 -(-6).
He said he would add the opposite. This is what he did:
10 - (-6) = 10 + (-6) = 4
Was Sam's thinking correct? Explain. In your explanation, describe how to add the
opposite and use a number line to find the value of 10 -(-6).
Given:
The expression is [tex]10 - (-6)[/tex].
Sam's calculation is [tex]10 - (-6) = 10 + (-6) = 4[/tex]
To find:
Whether Sam's thinking correct or not.
Solution:
We have,
[tex]10 - (-6) = 10+6[/tex] [tex][\because (-)(-)=(+)][/tex]
[tex]10 - (-6) = 16[/tex]
[tex]10 - (-6) \neq 4[/tex]
Therefore, Sam's thinking was incorrect.
On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.
But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.
the product of 2 times a and 5 times b
Answer:
2a * 5b
Step-by-step explanation:
2 times a = 2a
5 times b = 5b
The phrase "the product" shows the 2 elements are being multiplied together.
please help which system of inequalities is represented by the graph
A) y<1
y-x<0
B) y>1
y-x<0
C) y>1
y-x>0
D) y<1
y-x>0
2a=2b+c
I'm trying to find solve b
Answer:
[tex]b = \frac{2a - c}{2} [/tex]
Step-by-step explanation:
[tex]2a = 2b + c[/tex]
[tex] = > 2b = 2a - c[/tex]
[tex] = > b = \frac{2a - c}{2} [/tex]
A parking garage charges $1.75 for every hour of parking If C respresents the cost in dollars and t represents the time in hours,which the equation that correctly models this situation?
Answer:
C=1.75(t)
Step-by-step explanation:
The cost is however many hours spent multiplied by 1.75.
C=1.75(t)
Hope this helps :-)
A parking attendant charges a different rate for cars than trucks. It costs $10.75 to park 3 cars and 2 trucks. It costs $12.25 to park 7 cars and 1 truck. How much does it cost to park a single car? A single truck?
$1.25 for parking the car. $3.50 to park the truck.
Se hizo un descuento por entrada así:10 % f1, 8 % f2, 6 % f3 y 4 % f4. Si los grupos entraron en las franjas 1, 2 y 4, ¿cuánto dinero NO tuvieron que pagar? A. $ 308000 C. $ 7700 B. $ 4492000 D. $ 96000
please i need help like right now
EMERGENCY!!! Bro PLEASE Help ME! I'll Mark you as Brainliest from all my accounts! Given the pre-image coordinates (0, 5), (-3, 2), (4, -1) and transformed image coordinates (2, -5), (-1, -2), (6, 1), what is the coordinate transformation in function notation?
Answer:
it transformed each point 2 units to the left and 10 units down.
function notation; f(x)= (2+x) -10
Step-by-step explanation:
If y varies directly as x, and y is 400 when x is r and y is r when x is 4, what is the numeric constant of variation in this
relation?
10
40
100
198
Answer:
10
Step-by-step explanation:
If there is a direct relation between two variables x and y then it can be represented as
y = kx ,
where y is dependent variable
x is independent variable
k is constant of variation
_____________________________
First condition
y = 400
x = r
using y = kx then relationship will be
400 = kr
finding k here
k = 400/r
Second condition
y = r
x = 4
using y = kx then relationship will be
r = 4k
finding k
k = r/4
since in both condition equation is same
thus, value of k will also be same
thus,
400/r = r/4
=> 400*4 = r*r
=> 1600 = r^2
[tex]\sqrt{r^{2} } = \sqrt{1600} \\r = 40[/tex]
Thus, 40 is the value of r
k = r/4 = 40/4 = 10
Thus, constant of variation is 10 which is correct choice.
To cross validate
k = 400/r = 400/40 = 10
Answer:
40
Step-by-step explanation:
[tex]\frac{r}{400}[/tex] = [tex]\frac{4}{r}[/tex]
cross multiply - 400*4 = 1600 and r*r = r^2
square both - √1600 = 40
Mike Is standing on a ladder that is partly in a hole he starts out on a rung that 6 feet underground climbs up 14 feet the climbs down 11 feet what is mikes final position relative to the ground level
Answer:
-3
mike's final position relative to the ground is 3 feet's underground
Step-by-step explanation:
We take positive value when he is above the ground and then take negative value when he is below or underground
6 feet's underground = -6
He climbs up 14 feet = +14
He climbs down 11 feet = -11
We are required to find his last position relative to ground level
= -6+14-11
= (-6) + (-11) + 14
= -17 + 14
= -3
So we have it that mike's final position relative to the ground is 3 feet's underground
Factorise
[tex] \sf{ {x}^{2} - {y}^{2} - x + y}[/tex]
Show workings too!
Answer:
(x-y) (x+y-1)
Step-by-step explanation:
x^2-y^2-x+y
(x-y) (x+y) - (x-y)
(x-y) (x+y-1)
Answer:
(x-y) (x+y-1)
Step-by-step explanation:
x2-y2-x+y
= (x-y) (x+y) - (x-y)
= (x-y) (x+y-1)
which is a factor of the polynomial f(x)=6x^4 -21x^3-4x^2+24x-35
A: 2x-7
B: 2x+7
C: 3x-7
D:3x+7
Answer:
the answer is the first option, A) 2x-7
Step-by-step explanation:
Answer:
"Ay Cuz!" get it no okay but A is the answer
Step-by-step explanation:
Can someone help me which are correct?
Answer:
Between the first option and the last option.
Step-by-step explanation:
first choice: c, a, d, b, e
last/fourth choice: a,c,d,b,e
PLEASE HELP!!!!There is an 80% chance of rain. The tennis team has a 75% chance of winning if it doesn't rain and only a 35% chance of winning if it does rain. Make a tree diagram with the following probabilities. ~Will mark brain
Answer:
00304761
Step-by-step explanation:
4) If two cartons of soda cost $4.98, how much would 5 cartons of seda cost?
Cartons of Soda
Price
Help me do this please
Answer:
r = - 2
Step-by-step explanation:
Use the slope formula to find m then equate to - 1
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, r) and (x₂, y₂ ) = (9, - 5)
m = [tex]\frac{-5-r}{9-6}[/tex] = [tex]\frac{-5-r}{3}[/tex] = - 1 ( multiply both sides by 3 )
- 5 - r = - 3 ( add 5 to both sides )
- r = 2 ( multiply both sides by - 1 )
r = - 2
Problem 1 :
Given: HJ= 4x + 9, JK = 30 + 3, and KH = 33 Find: x, HJ, and JK
Answer:
Step-by-step explanation:
4x + 9 + 3x + 3 = 33
7x + 12 = 33
7x = 21
x = 3
HJ= 4(3) + 9 = 12 + 9 = 21
JK= 3(3) + 3 = 9 + 3 = 12
i need help? i don’t understand this ?
Answer:
the answer is ab
Step-by-step explanation:
you should go to the x axis and go to the four then go up 7 and it should land on the line in between a and b
Let me know if this helps :)
which of the following expression, when evaluated, equals an irrational number ?
Answer:
the answer for number 38 is H