Use the graph below to determine a1 and d for the sequence.
a1 = 1; d = 3
a1 = 1; d = −3
a1 = 2; d = 3
a1 = 2; d = −3
NEED HELP ASAP
Answers
Answer:
a₁ = 2 and d = 3
Step-by-step explanation:
Consider the sequence given by the values of y, that is
2, 5, 8, 11, 14, 17
The first term in the sequence is a₁ = 2
The common difference is
d = 17 - 14 = 14 - 11 = 11 - 8 = 8 - 5 = 5 - 2 = 3
Thus a₁ = 2 and d = 3
The first term of the sequence is 2 and the common difference is 3. Therefore, option C is the correct answer.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is an=a+(n-1)d
The given coordinates are (1, 2), (2, 5), (3, 8), (4, 11), (5, 14) and (6, 17)
The y-coordinates are 2, 5, 8, 11, 14, 17,....
Here, the y-coordinates are in arithmetic sequence
Now, a₁=2 and d=5-2=3
Therefore, option C is the correct answer.
To learn more about an arithmetic sequence visit:
https://brainly.com/question/10396151.
#SPJ2
Related Questions
josh allowance is m cents per week. Represent the number of dollars he gets in a year.
a) 3m/25
b) 1200m
c) 13m/25
d) 25m/13
Answers
Answer:
The number of $ Josh receives in a year should be 13m / 25
Step-by-step explanation:
This is quite a simple a question.
Consider how many weeks there are in a year. Well there are about 52 weeks, you can say. Knowing that, you could apply the following conversion factor -
[tex]\frac{52 ( weeks ) }{ 1 ( year )}[/tex] ... at the same time we have to consider how many cents there are in a dollar. There are 100 cents, giving us the conversion factor [tex]\frac{1 ( dollar )}{100 ( cents )}[/tex]. Therefore, Josh's allowance should be, after 1 year -
m [tex]*[/tex] [tex]\frac{52}{1}[/tex] [tex]*[/tex] [tex]\frac{1}{100}[/tex]
= [tex]\frac{52m}{100}[/tex] - Which, simplified, = [tex]\frac{13m}{25}[/tex].
Our solution here is option c, rather option d.
The number of dollars he gets in a year is 13m/25 option (c) is correct if josh allowance is m cents per week.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We have:
Josh's allowance is m cents per week.
As we know,
Total number of weeks in a year = 52 weeks
In 1 dollar there are 100 cents
josh's allowance is m cents per week
The number of dollars he gets in a year = (52/100)m
After simplification:
The number of dollars he gets in a year = 13m/25
Thus, the number of dollars he gets in a year is 13m/25 option (c) is correct if josh allowance is m cents per week.
Learn more about the unit conversion here:
brainly.com/question/14350438
#SPJ2
How many triangles can be constructed with angles measuring 110°, 50°, and 20°? a) more than one
a) more than one
b) none
c) one
Answers
Answer:
a, More than one.
Because it satisfies the property of sum of 3 angles that: 20 + 50 + 110 = 180 deg
Hope this helps!
:)
Find the mean of the data. Round your answer to the nearest tenth. 15,5,8,12,5,9,4,10,2,11
Answers
Answer:
8.1
Step-by-step explanation:
Answer:
mean=8.1
Step-by-step explanation:
mean= 15+5+8+12+5+9+4+10+2+11÷10=81÷10=8.1
Determine the 6 trigonometric ratios of the angle
Answers
First make a sketch
Then use the pythagorean theorem to find the missing sides
Lastly use SOH CAH TOA and plug in you values (Don't forget to simplify)
The solution to ? Is m= 1.
A). m + 2 = 1
B). m + 1 = 3
C). m + 1 = 2
D). m - 2 = 1
Answers
Answer: C
Step-by-step explanation:
not A because m=1 so 1+2 doesn’t equal 1.
Not B because m=1 and 1+1=2 not 3.
Not D because m=1 and 1-2= a negativ.
C because m=1 and 1+1=2 like shown for C.
Sorry if I’m wrong.
A tennis supply store pays a wholesaler $40 for a tennis racquet and marks it up by 60%.
What do they charge for the tennis racquet?
Answers
Answer:
$64
Step-by-step explanation:
Find the area of the figure.
Answers
Answer: 13300
Step-by-step explanation:
Find the value of n that makes each equation true. Then, arrange the equations IN increasing ORDER of the values of n found.
n + 5 = 10
n + 5 = 13
5n = 20
2n = 3
Answers
n+5=13 n=8
n+5=10 n=5
2n=3 n=1.5
5n=20 n=4
S = {2, 4, 6, 8, 10
T = {1, 2, 3, 4, 5)
What is the probability that a number selected at random from set S above will also be in set T?
O 0.1
O 0.2
O 0.4
O 0.5
Answers
Answer:
0.2
Step-by-step explanation:
the total is 10
they said that it has to be the same group as S and T
the only numbers that are in the same groups is 2 and 4
the fraction is then 2/10
which is .2
correct me if i am wrong
The probability that a number selected at random from set S above will also be in set T will be 0.2 hence, option (B) will be correct.
What is probability?The probability of an event occurring is defined by probability.
Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
Do not take underestimate probability it has several uses in daily life whether forecasts and like that.
In our daily time, there are several instances in the everyday world where we may need to draw conclusions about how everything will turn out.
Given that the S = {2, 4, 6, 8, 10 and T = {1, 2, 3, 4, 5)
Now there are a total of 10 numbers. The common number among S and T are 2 and 4 only so
Probability = 2/10 = 0.2 hence it will be correct.
For more information about the probability
https://brainly.com/question/11234923
#SPJ5
Two cars are travelling from Toronto to Quebec. Car A left Toronto at 8 a.m. and is moving with an average speed of 70 km/h. Car B left Toronto at 10 a.m. and its average speed is 90 km/h. How many hours will it take for car B to catch car A?
(please show all your work Let, So, Equation and Solution and Therefore Statement)
Answers
Answer:
It'll take 7 hours for the car B to cath up to A
Step-by-step explanation:
In order to solve this problem we can write the equation from the distance of each car. Assuming that t = 0 happens when the second car leaves Toronto. When the second car leaves Toronto, the first one is on the road for two hours already, thefeore it travelled a total of:
distance = speed*time = 70*2 = 140
We have:
Car A:
x(t) = 70*t + 140
Car B:
x(t) = 90*t
We now need to find the value of "t" that makes x(t) the same for both cars:
90*t = 70*t + 140
20*t = 140
t = 140 / 20 = 7 h
Identify the function represented my the graph
Answers
Answer:
b
Step-by-step explanation:
You have a job at McDonald's that pays $6.25 working part-time. Write and solve an
inequality to find out how many hours you must work to earn at least $250.
Leave an explanation thx!
Answers
Answer:
40 hours of hard work
Step-by-step explanation:
250 / 6.25 = 40
6.25(40) = 250
What is the following quotient? StartFraction 3 StartRoot 8 EndRoot Over 4 StartRoot 6 EndRoot EndFraction StartFraction 12 StartRoot 2 EndRoot minus 6 StartRoot 3 EndRoot Over 5 EndFraction StartFraction 3 StartRoot 6 EndRoot minus 4 StartRoot 3 EndRoot Over 24 EndFraction StartFraction StartRoot 3 EndRoot Over 12 EndFraction StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Answers
Answer:
the answer is D
The quotient of the given function is [tex]\frac{\sqrt{3}}{2}[/tex]
Given the radical function
[tex]\dfrac{3\sqrt{8} }{4\sqrt{6} }[/tex]Rationalizing the denominator:
[tex]= \dfrac{3\sqrt{8} }{4\sqrt{6} } \times \dfrac{\sqrt{6} }{\sqrt{6} }\\= \dfrac{3\sqrt{8} (\sqrt{6}) }{4\sqrt{6} \cdot \sqrt{6}}\\[/tex]
Multiplying the numerator and denominator:
[tex]=\dfrac{3\sqrt {48}}{4(6)} \\=\dfrac{3(4\sqrt{3})}{24} \\=\dfrac{4\sqrt{3}}{8} \\=\dfrac{\sqrt{3}}{2}[/tex]
Hence the quotient of the given function is [tex]\frac{\sqrt{3}}{2}[/tex]
Learn more on surd function here: https://brainly.com/question/11852465
what is the solution to the equation -3d/d^2-2d-8+3/d-4 = -2/d+2
A. d = -4 and d = 2
B. d = -2 and d = 4
C. d = 1
D. d = 2
Answers
Answer: its C d=1
Step-by-step explanation:
im right
This is making my brain shrink
Answers
Answer:
The answer to part a is 3.6. I do not know about part b though.
Step-by-step explanation:
72-54= 18
18/5= 3.6
Which statements about the coordinate system are true?
Select three that apply.
A. The point (0, 3) is located on the x -axis.
B. The point (7, 0) is located on the x -axis.
C. The origin is located at the point (1, 1) .
D. The origin is located at the intersection of the x - and y -axes.
E. In the ordered pair (4, 3) , the 3 indicates how far the point is above the x -axis.
F. In the ordered pair (4, 3) , the 3 indicates how far to travel on the x -axis from the origin.
Answers
circumference 17 inches Use 3.14 for pi
Answers
Answer: (BRAINLIEST PLEASE)
53.4 m
Step-by-step explanation:
Write down the formula for finding the circumference of a circle using the diameter. The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.
Answer:
53.4 m
Step-by-step explanation:
please name me branliet i really need it
Colin spends
3
4
of his wages on rent and
1
8
on food. If he makes £192 per week, how much money does he have left?
please help me
Answers
Answer:
£24
Step-by-step explanation:
3/4 + 1/8 = 7/8 of his money spent
8/8 - 7/8 = 1/8 of his money left
1/8 times £192 = £24 left
If you multiply x to the second power by x to the seventh power, what is the product?
Answers
Answer:
x to the ninth power
Step-by-step explanation:
If a question says an item is marked down by 20%
a) what percentage would you actually be paying of the original price
b) how would you write that as a decimal
**Both answer will be written as part of the answer part A/part B**
Answers
Answer:
a) You'd be paying 80%
b) 0.8
Step-by-step explanation:
PLEASE HELP ME OUT! i need to get this!
Answers
Answer:
C
Step-by-step explanation:
Two equal ratios are used to solve problems in this lesson. What is the term used to indicate two equal
ratios?
proportion
coefficient
unit rate
percent
Answers
need answer ASAP
find the volume of a cone with a base radius of 3 cm and a height of 10cm
use the value 3.14 for pie and do not round
Answers
Answer:
V = 94.2 [tex]cm^{3}[/tex]
Answer: 94.25 cu. cm
Step-by-step explanation:
V=πr2h/3
= 3.14 x 9 x 10/3
Which expression is not equivalent to the other expressions?
will mark as brainliest
A) -6(2 x - 4)
B) -(12 x - 6) + 18
C) -3(4 x - 3) + 15
D) -4(3 x + 6)
Answers
Answer:
D) -4(3x + 6)
Step-by-step explanation:
Check:
Distribute the term outside the parenthesis (directly next to it) to all terms within the parenthesis:
A) -6(2x - 4) = (-6 * 2x) + (-6 * -4) = -12x + 24
B) -(12x - 6) + 18 = -12x + 6 + 18 = -12x + 24
C) -3(4x - 3) + 15 = (-3 * 4x) + (-3 * -3) + 15 = -12x + 9 + 15 = -12x + 24
D) -4(3x + 6) = (-4 * 3x) + (-4 * 6) = -12x - 24
~
What are the values of a and b in the figure?
Answers
Step-by-step explanation:
so if you refer to my working out you'll see how I got the answers
a = 76
b= 124
A circle has a radius of 3. An arc in this circle has a central angle of 340°. What is the length of the arc?
Answers
Answer:
hi
Step-by-step explanation:
1.72 2.144 3.720 4.1440
Answers
Answer:
1. 72
Step-by-step explanation:
multiply all the numbers you have
Find the area of the trapezoid.
Answers
Answer:
A = 108 m^2
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2 (b1+b2)h where b1 and b2 are the lengths of the bases
A = 1/2(10+14) (9)
A = 1/2 (24)*9
A = 108 m^2
Answer:
108 meters squared
Step-by-step explanation:
Area = (1/2)(base 1 + base 2)*height
Area= (1/2)(14+10)*9
Area= (1/2)(24)(9)
Area= 12*9
Area= 108 meters squared
which statements about the graph of the function y=(1/3) are true ?
Answers
Answer:
it has zero slope
y intercept is 1/3
graph is parallel to x-axis
Point Y is between points J and Q. JQ = 18 and YQ = 11.
What is JY?
Answers
Answer:
Q11 i think
Step-by-step explanation: