Find the first four terms of the arithmetic sequence
where a1 = 2 and d = 5 (use formula)
Answer:
first four terms are 2, 7, 12, 17
Step-by-step explanation:
use this formula: [tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)· d
where 'n' equals the position in the sequence the term is in and 'd' is the common difference
if [tex]a_{1}[/tex] = 2 and d = 5 are given, plug those into formula
[tex]a_{1}[/tex] = 2
[tex]a_{2}[/tex] = 2 + (2 - 1)·5 = 2+5 = 7
[tex]a_{3}[/tex] = 2 + (3 - 1)·5 = 2+2(5) = 12
[tex]a_{4}[/tex] = 2+(4 - 1)·5 = 2+3(5) = 17
The first four terms of the arithmetic sequence are 2, 7, 12, and 17.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
We have,
First term = 2
Common difference = 5
First term = 2
Second term = 2 + 5 = 7
Third term = 7 + 5 = 12
Third term = 12 + 5 = 17
Thus,
The first four terms of the arithmetic sequence are 2, 7, 12, and 17.
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What is the greatest common factor of 49, 62 and 80? OA) 1 OE) 2 OC) 3 OD) 5
Answer: A (1)
Step-by-step explanation:
The way to find a common factor is by dividing the given numbers by the largest possible multiple that still gives you a whole number
A
49/1=49
62/1=62
80/1=80
This is an option
B
49/2=24.5
62/2=31
80/2=40
This is not an option, 24.5 is not a whole number
C
40/3=16.333(repeating)
This is not an option, you are not given a whole number
D
49/4=12.25
This is also not an option, 12.25 is not a whole number
Answer
Our only possible answer is A-1
What is the length of AC on a right triangle 84 156-x 7
Answer:
144
Step-by-step explanation:
i just took the test
Solve for y given the lines are parallel
Answer:
I believe the y is parallel :)))))))))
Answer:
35 degrees
Step-by-step explanation:
70 divided by 2 is 35.
And both sides are equal to each other bc the lines are parallel.
The population of fish in a pond in relation to the number of years since stocking is depicted on a graph. For the first few years after the pond is stocked, the population grows slowly. It increases more quickly as the fish reproduce, then it levels off. A pollutant kills off almost all of the fish 20 years after stocking. The population begins to grow again when the remaining fish reproduce. Which graph depicts the situation described above?
Answer:
Graph a
Step-by-step explanation:
the slope is proportional to the data
Graph A depicts the situation described above. Thus, option A is correct.
What is a graph?The link across lines as well as points is described by a graph, which is a mathematical description of a connection. A graph is made up of certain points and connecting lines. It doesn't matter how long the lines are or where the terminals are located.
The population of fish in a pond grows slowly for the first few years after it is stocked, then levels off. A pollutant kills off almost all of the fish 20 years after stocking, then the population begins to grow again when the remaining fish reproduce which is represented in graph A.
If every pair of datasets is connected in the same fashion, by multiplying by a factor, then the connection is proportional. The slope of a line is the slope of the regression. Like the ratio constant, this slope shows how rapidly a quantity is rising or falling.
Therefore, option A is the correct option.
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in the coordinate plane, triangle ABC has vertices A(1,-2), B(1,0.5), and C(2,1) and triangle DEF has vertices D(4,-3), E(4,2), and F(6,3). The triangles are similar because DEF is the image of ABC under a dilation with center (_,_) and scale factor ___.
PLEASE HELPP
Answer:
(A) the center of dilation is at (-2,-1)
(E) the scale factor is 2
The triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The ratio of the lengths of corresponding sides of triangles ABC and DEF.
AB and DE are corresponding sides, so:
AB/DE = (distance between A and B) / (distance between D and E)
= 2.5 / 5
= 0.5
BC and EF are corresponding sides, so:
BC/EF = (distance between B and C) / (distance between E and F)
=1.118 / 2.236
= 0.5
AC and DF are corresponding sides, so:
AC/DF = (distance between A and C) / (distance between D and F)
AC/DF = 2.236 / 4.472
= 0.5
We see that all three ratios are equal to 0.5.
Hence, the triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
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A group of friends wants to go to the amusement park. They have $79.50 to spend on parking and admission. Parking is $19.50, and tickets cost $10 per person, including tax. Write and solve an equation which can be used to determine x, the number of people who can go to the amusement park.
Answer:
x = 6. six friends can go.
Step-by-step explanation:
79.50 - 19.50 = 60.00
60/10 = 6 people
The number of people that can go to the amusement park is six.
The information in the question can be represented with this equation:
Total amount the friends have = cost of parking + (cost of ticket x number of friends)
$79.50 = $19.50 + $10 × x
$79.50 = $19.50 + $10x
The equation that would be used to solve for the number of friends that can go to the amusement park, the equation that would be used is: $79.50 = $19.50 + $10x
Combine similar terms
$79.50 - $19.50 = $10x
$60 = $10x
Divide both sides of the equation by 10
$60 / $10 = x
x = 6
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Write an equation of the line that passes through the given point as is (a) parallel and (B) perpendicular to the given line
A. y=
B. y=
cos(0)=square root 3/3, sin 0<0. what is the value of sin0
Answer:
sin θ = [tex]\frac{\sqrt{6} }{3}[/tex]
Step-by-step explanation:
Given that,
cos θ = [tex]\frac{\sqrt{3} }{3}[/tex]
From the trigonometric functions,
cos θ = [tex]\frac{adjacent}{hypotenus}[/tex]
⇒ adjacent = [tex]\sqrt{3}[/tex], and the hypotenuse = 3
Let the opposite side be represented by x, applying the Pythagoras theorem we have;
[tex]/hyp/^{2}[/tex] = [tex]/adj/^{2}[/tex] + [tex]/opp/^{2}[/tex]
[tex]/3/^{2}[/tex] = [tex](\sqrt{3} )^{2}[/tex] + [tex]x^{2}[/tex]
9 = 3 + [tex]x^{2}[/tex]
[tex]x^{2}[/tex] = 9 - 3
= 6
x = [tex]\sqrt{6}[/tex]
Thus, opposite side = [tex]\sqrt{6}[/tex]
So that,
sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{\sqrt{6} }{3}[/tex]
Therefore,
sin θ = [tex]\frac{\sqrt{6} }{3}[/tex]
And this is Ari, signing off
Answer:
Byeee again haha
Step-by-step explanation:
Yea I'm answering this question again
A specific moderator deleted a lot of my answers almost all at once and for the reason that I didn't answer the question the people were asking, it's pretty weird as all the questions were either free points or very extremely straightforward questions like "what dynasty started the great wall" and usually when a moderator sees those they delete them but they just deleted my answer for almost no reason haha
Well if u see this then have a great day!
Answer:
ok :)
Step-by-step explanation:
8 less than the product of 6 and a number is the same as twice the number diminished by 10
6x - 8 = 2x - 10
This is the equation
Which point on the number line represents the product of 4 and –2?
Point A
Point B
Point C
Point D
Answer:
It's A
Step-by-step explanation:
the one above me is incorrect it's "A"
Answer:
A
Step-by-step explanation:
hi
PLease help with mathhh
Answer:
its is the 3rd one lol
Answer:
It would be the fourth option, -4/3 p + (-2/5)
Step-by-step explanation:
Notice that there's a positive sign followed by a negative sign, when we simplify this it becomes a negative sign. So simplified, this expression would be -4/3 p - 2/5, which makes it the closest to the given expression.
EDIT:
I just realized that there's more than one option, hence the instruction. So I looked through the options again and I believe the other answer would be -2/5 - 4/3 p (second option) -- the fractions only switched places unlike the other expressions where the negative/positive signs aren't equivalent to the given fraction.
Which step is incorrect and what is the correct answer?
Answer:
Step 4, x = 3
Step-by-step explanation:
Step 4 was wrong, instead of 6x = 6, it should be 6x = 18. They shoudl've added 6 to both sides instead of subtracting 6 as ur trying to cancel out the 6 on the left side of the equation. So:
6x = 18
x = 3
Find the numerical value of the expression if x = 4.
(6x-7)/(3x)
Answer:
1.416 repeating
Step-by-step explanation:
6 x 4 = 24, then do 24 - 7 = 17, then do 3 x 4 = 12, then divide 17 and 12 to get 1.416 repeating
How to multiply Decimals by power of 10?
Answer:
maybe this well help
Step-by-step explanation:
When you multiply a decimal by a power of 10, simply move the decimal place to the right as many places as there are 0s in the power of 10. When you divide a decimal by a power of 10, simply move the decimal place to the left as many places as there are 0s in the power of 10.
Answer:
You can convert the power of 10 to a decimal and multiply it by 0.502, or you can move the decimal place of 0.502 to the left depending on the value of the exponent:
0.502 x 10^2=0.00502 → 10^2 is equal to 100. So, 0.502 x 100=0.00502 OR 10 is raised to a power of 2, so move the decimal place 2 times to get 0.00502.
0.502 x 10^3=0.000502 → 10^3 is equal to 1000. So, 0.502 x 1000=0.000502 OR 10 is raised to a power of 3, so move the decimal place 3 times to get 0.000502.
Hope you understand and that this helps with your question! :)
Answer the question below.
it's one of these
-16 / 3
-16 / 2
-8 / 8
-8 / 2
Answer:
-16 / 2
Step-by-step explanation:
You have 16 negative tiles and you are dividing it into 2.
Answer:
It is -16 / 2
Step-by-step explanation:
Please mark brainliest.
PLEASE I NEED HELP AND I ONLY HAVE AN HR Question 2 (4 points)
(04.02)
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels.
a
Yes, it is a proportional relationship because the graph goes through the origin
b
Yes, it is a proportional relationship because the graph is a straight line
c
No, it is not a proportional relationship because the graph is not a straight line
d
No, it is not a proportional relationship because the graph does not go through the origin
------> The Answer Is C <------
Hope this helps have a good day :D
Joe and Sally have $89.74 combined. They each had the same amount. What was that amount?
Answer:
179.48
Step-by-step explanation:
calculator
Answer:
44.87
Step-by-step explanation:
please help me<3
i will give brainliest to the right answer
Answer:
26.5
Step-by-step explanation:
Because the sales is $530 and the commission rate is 5%, the commission would be 5% of the sales, which would be $26.5
Linden Middle School has 480 students. The number of students is increasing by 5% next year
How many students will there be? (Please do step by step)
Answer:
Please do step by step)
hope I gave
-4x+5y-3-11x-y
Does -3 have a like term?
Answer:
nope ❎ ❎ ❎ ❎ ❎ ❎ ❎ ❎
what is the quotient of 3 divided 1/6
Answer:
To find the quotient of 3 divided by 1/6 you must multiply by the reciprocal of the fraction, in this case it is 6.
So you would rewrite it as,
3*6=18
So your answer is multiply 3 by 6.
P.S * represents multiplication.
Step-by-step explanation:
Find the difference.
Need help fast!
Answer:
D
Step-by-step explanation:
18 - 3 = 15
Multiply. Write in simplest form. 2 1/2 x 1 1/2
Answer:
3.75 or 3 3/4
Step-by-step explanation:
Answer:
3.75 or 3 3/4
Step-by-step explanation:
2 1/2 or 2.5 x 1 1/2 or 1.5 is 3 3/4 or 3.75
Hope it helps!
If 12 cookies cost $3 how much would it be for 9 cookies
PLZ HELP ME AND I WILL MARK BRAINLIEST!!!
Answer:
-315 + 100 & -230 + 15
Step-by-step explanation:
Give the domain and range.
Answer:
option a is correct answer
Prepare the journal entry to record the issuance of 5,000 shares of $20 par common stock for $25 per share
Answer:
value preferred stock for $65,250 cash
HOPE THIS HELP PLEASE TOUCH THANKS.Consider best strategy to solve the problem.
On a field trip, the ratio of teachers to students is 1:25. If there
are 5 teachers on the field trip, how many students are on the
trip?
5:1,25=4
1/4 teacher plus for echipa studenta.