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garik1379 [7]
3 years ago
11

What is the common difference of the arithmetic sequence?​

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

Answer:

Step-by-step explanation:

You can look at it and see that 1/3 is added to each term. The common difference is 1/3. If you want to be be more formal,

d = d4 - d3

d = 0 - - 1/3

d = 0 + 1/3

d = 1/3

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Help me please!!!!!!
Zarrin [17]
C. (1,-4)
Vertex is the point where the parabola begins. The vertex is one unit to the right on the x axis and 4 units down on the y axis which gives you the coordinate (1,-4)
5 0
3 years ago
A restaurant bill comes to $28.35. Determine the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax
Soloha48 [4]
In the given problem there are several known and important facts to take note of. Firstly the restaurant bill without tax and tips is $28.35. Then the tax of 6.25% needs to be added with the bill. Also a tip of 20% on the original bill needs to be added to find the total cost.
Then tax on the restaurant bill = (6.25/100) * 28.35
                                                 = 1.77
So the tax on the restaurant bill is $1.77
Amount of tips given = 28.35 * (20/100)
                                 = 5.67
Amount of tips paid is $5.67
Total cost paid in the restaurant = ( 28.35 + 1.77 + 5.67) dollars
                                                   = 35.79 dollars
8 0
3 years ago
Find all angles, 0≤θ<360, that satisfy the equation below, to the nearest 10th of a degree. 4tan^2 θ+tanθ=−4tanθ−1
Serga [27]

Answer:

135 and 315degrees

Step-by-step explanation:

Given the expression

4tan²θ+tanθ=−4tanθ−1

Equate to zero

4tan²θ+tanθ+4tanθ+1 = 0

4tan²θ+5tanθ+1 = 0

Let x = tanθ

4x²+5x+1 = 0

Factorize;

4x²+4x+x+1 = 0

4x(x+1)+1(x+1) = 0

4x+1 = 0 and x+1 = 0

4x = -1 and x = -1

x = -1/4 and -1

Since x = tanθ

-1 =tanθ

θ = arctan(-1)

θ = -45degrees

Since tan is negative in the 2nd and fourth quadrant;

In the second quadrant

θ = 180 - 45 = 135degrees

In the fourth quadrant;

θ = 360 - 45 = 315degrees

Hence the required angles are 135 and 315degrees

3 0
2 years ago
Given h (x)= -4x-10, find x when h(x)= -30​
Serggg [28]

Step-by-step explanation:

h(x)=-4x-10

but h(x) =-30

-30=-4x-10

-4x=-10+30

-4x=40

-4x/4=40/4

x=10

6 0
3 years ago
Question 2 of 10<br> Which of the following is most likely the next step in the series?
shusha [124]

Answer:

a) is the answer because line,stroke,2nd stroke =a

7 0
2 years ago
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