Answer:
2, 5, 14, 41, 122
Step-by-step explanation:
Using the recursive rule with a₁ = 2
a₂ = 3a₁ - 1 = 3(2) - 1 = 6 - 1 = 5
a₃ = 3a₂ - 1 = 3(5) - 1 = 15 - 1 = 14
a₄ = 3a₃ - 1 = 3(14) - 1 = 42 - 1 = 41
a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122
The first 5 terms are 2, 5, 14, 41, 122
Answer:
[tex]a_{1}\\\\[/tex] = 2
[tex]a_{2\\}\\\\[/tex] = 5
[tex]a_{3\\}\\\\[/tex] = 14
[tex]a_{4\\}\\\\[/tex] = 41
[tex]a_{5\\}\\\\[/tex] = 122
Step-by-step explanation:
If I've properly understood:
[tex]a_{1}\\\\[/tex] = 2
[tex]a_{n} = 3 a_{n-1}\\[/tex] - 1
so, the first 5 terms are:
[tex]a_{1}\\\\[/tex] = 2
[tex]a_{2\\}\\\\[/tex] = 3. 2 - 1 = 5
[tex]a_{3\\}\\\\[/tex] = 3. 5 - 1 = 14
[tex]a_{4\\}\\\\[/tex] = 3. 14 - 1 = 41
[tex]a_{5\\}\\\\[/tex] = 3. 41 - 1 = 122
Using the laws of indices simplify 625^3/8 ×5^1/2÷ 25
Answer:
1
Step-by-step explanation:
[tex] \huge {625}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div 25 \\ \\ = \huge {( {5}^{4})}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ = \huge{5}^{ \cancel4 \times \frac{3}{ \cancel8 \: \: \red{ \bold 2}} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} + \frac{1}{2}} \div {5}^{2} \\ \\ \huge= {5}^{ \frac{4}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ 2 } \div {5}^{2} \\ \\ \huge= {5}^{ 2 - 2 } \\ \\ \huge= {5}^{ 0 } \\ \\ \huge= 1[/tex]
The endpoints of QA are Q (-8,6) and A (-5,3). What the coordinates of the midpoint of Q4 ?
A (-6.5, 4.5)
B (-1.5, 4.5)
D 17, 4.5)
Answer:
A
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = Q(- 8, 6) and (x₂, y₂ ) = A(- 5, 3) , then
midpoint = ( [tex]\frac{-8-5}{2}[/tex], [tex]\frac{6+3}{2}[/tex] ) = ( [tex]\frac{-13}{2}[/tex], [tex]\frac{9}{2}[/tex] ) = (- 6.5, 4.5 ) → A
What is the equation of the line that passes through the point (−6,3) and has a slope of -2/3?
Answer:
It's probably;
[tex] y = \frac{ - 2x + 21 }{3} [/tex]
Step-by-step explanation:
The Formular for equation on the line is given as m=y-y1/x-x1Where m = -2/3 , y1=3 and x1 = -6Then you substitute and solveround 12.5829 to the nearest hundredth
Answer:
12.58
Step-by-step explanation:
the 8 is in the hundredth's place, and 2 is less than 5, so the 8 stays the same and you eliminate all the numbers to the right, so you get 12.58
What is 4% of 25?.....
Answer:
1
Step-by-step explanation:
multiply 25 by .04
A scholar surveyed educators to determine if there was correlation between age and holding a doctorate degree. The survey results are below: Have a doctorate Do not have a doctorate 30 or younger 10 25 Older than 30 14 22 How many educators have a doctorate and are older than 30?
Answer:
14
Step-by-step explanation:
Given the result :
______________Doctorate ___ No doctorate
30 or younger ___ 10 ___________ 25
Older than 30 ___ 14 ___________ 22
Number of educators who have a doctorate and older than 30 = 14 ( from the table)
Older than 30 n Doctorate = 14
Which of the following is most likely the next step in the series? O B. On # on # OCH oath
Answer:
I don't really understand the question? could you explain please :)
Step-by-step explanation:
PLZZZZZZZZZZ HELP MEEEEEEEEEEE IM TIMED AND PLZZZ EXPLAIN HOW YOU GOT THE ANSWER
Terrance uses the jugs of water to fill cups with approximately 3.75 ounces of water each. About how many cups can Terrance fill if he uses all of the water in the jugs? Show your work or explain how you determined your answer.
1 gallon = 128 fluid ounces
Enter your answer and your work or explanation in the box provided.
Answer:
34.13
Step-by-step explanation:
1) Divide 128 by 3.75 which will give you 34.13
Answer: 34.13
Hope this Helps!
Dave has 30% of coupon
Answer:
HE GETS 30% OFF
Step-by-step explanation:
I NEED HELP PLEASE
Coment if u singal
Answer:
x> -10
Step-by-step explanation:
in order to find what the value of X is you have to multiply the 5 of the denominator into the -6 which would make -30.
You would then divide by 3 in order to get x by itself and would get -30÷3= -10
therefore the answer should be greater than -10
Hope this helped :)
Answer:
x > -10
Step-by-step explanation:
[tex]\frac{3x}{5} > -6[/tex]
Multiply both sides by 5/3
[tex]\frac{5}{3} * \frac{3x}{5} > \frac{5}{3} *(-6)[/tex]
Reduce Everything
[tex]x > -5*2[/tex]
Multiply
x > -10
Find the percent of increase or decrease
x to 5x
Answer:
Step-by-step explanation:
The percentage increase from x to 5x is given by the equation P = 400 %
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the percentage increase be P
Now , the equation will be
Let the original value be = A
The value of A = x
Now , the increased value = B
The value of B = 5x
And , the percentage increase is given by the equation ,
P = ( ( Increased value - Original value ) / Original value ) x 100 %
Substituting the values in the equation , we get
The percentage increase P = ( ( 5x - x ) / x ) × 100 %
The percentage increase P = ( 4x/x ) × 100 %
The percentage increase P = 4 x 100 %
The percentage increase P = 400 %
Therefore , the value of P is 400 %
Hence , The percentage increase from x to 5x is 400 %
To learn more about equations click :
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please answer them alll 50 points
Review the function equation below.
y = −9x + 3
Enter the slope of the function in the box.
Question 2 (1 point)
Question 2 options:
Review the function equation below.
y = −9x + 3
Enter the y-intercept of the function in the box.
Question 3 (1 point)
Question 3 options:
Review the function equation below.
y = 5x − 7
Enter the slope of the function in the box.
Question 4 (1 point)
Question 4 options:
Review the function equation below.
y = 5x − 7
Enter the y-intercept of the function in the box.
Question 5 (1 point)
Question 5 options:
Review the function table below.
Enter the slope of the function in the box.
Question 6 (1 point)
Question 6 options:
Review the function table below.
Enter the y-intercept of the function in the box.
Question 7 (1 point)
Question 7 options:
Review the function table below.
Enter the slope of the function in the box.
Question 8 (1 point)
Question 8 options:
Review the function table below.
Enter the y-intercept of the function in the box.
Question 9 (1 point)
Question 9 options:
Review the function graph below.
Enter the slope of the function in the box.
Question 10 (1 point)
Question 10 options:
Review the function graph below.
Enter the y-intercept of the function in the box.
Answer:
1. slope -9
y-int (0, 3)
2. slope 5
y-int (0, -7)
we don't have the tables
18.6 divided by 3 long division sorry to lazy
• Faith is making an acai bowl with cups of fruit for every cup of almond milk. Faith wants
to know the number of cups of fruit per cup of almond milk she uses when making the bowl.
• Which ratio of cups of fruit to cups of
Acai Bowl
almond milk is shown on the double
number line?
0
1
4 1
32
1 4
2 3
0:
4
3
0
fruit (c)
almond milk (c)
0
Answer: 4/3 : 1/2 that is the first answer the second one is 2 2/3
Step-by-step explanation: there ya go happy cheating! :)
Answer:
The answer is 4/3 : 1/2
What is 482.073 expressed in word form?
A gift shop wants to make gift baskets for its regular customers. There are 24 bottles
of shampoo, 36 tubes of hand lotion, and 48 bars of soap. The same number of each
item should be in each basket. What is the greatest number of baskets that can be
made?
Answer:
Find the biggest # that can divide all 3 #'s, and that's your answer.
Step-by-step explanation:
24 is divisible by:
1, 2, 3, 4, 6, 8, 12, 24
36 is divisible by:
1, 2, 3, 4, 6, 9, 12, 18, 36
48 is divisible by:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The biggest # that can divide all 3 #'s is 12, so the greatest amount of baskets that can be made is 12 baskets.
What is the quotient when (-12x^9 + 3x^7 + 24x^6) is divided by 6x?
Answer:
(-12x^9+3x^7+24x^6)÷6=-2×^10+1/2x^8+4x^7
Select all the correct systems of equations.
Which systems of equations have infinite solutions?
Answer:
y = 14 - 2x
6x + 3y = 42
2x + y = 17
-6x = 3y - 51
Step-by-step explanation:
The following system of linear equations have infinite solutions:
y = 14 - 2x
6x + 3y = 42
2x + y = 17
-6x = 3y - 51
City A has an elevation of 45 feet above sea level. City B is below sea level, with an elevation of -15 feet. What is the difference in elevation between City A and City B?
Answer:
60 hope this helps!
Step-by-step explanation:
45-(-15) = 60
Answer:
Well person, it's 60 feet.
Step-by-step explanation:
Because it is simple math. You just add 45 and 15 then BOOM! ANSWER
What is the slope of the line that passes through the points (-2,3) and (-14, -5)?
Write your answer in simplest form
If 2i-2+i - 2i/3+i = a+bi then a= and b=
Answer:
a=-2 and b=10/3
Step-by-step explanation:
Given that [tex]2i-2+i-\frac{2i}{3}+i=a+bi[/tex].
[tex]\Rightarrow -2+2i+i-\frac{2i}{3}+i=a+bi \\\\\Rightarrow -2+(2+1-2/3+1)i=a+bi \\\\\Rightarrow -2+\frac{10}{3}i=a+bi[/tex]
On comparing the real and imaginary parts, we have
a=-2 and b=10/3.
The points (10, 8) and (19, 17) fall on a particular line. What is its equation in slope-intercept
form?
Answer:
Step-by-step explanation:
First, find the slope using the two given points and the slope equation.
[tex]m=\frac{y2-y1}{x2-x1}=\frac{17-8}{19-10}=\frac{9}{9}=1[/tex]
We can enter [tex]m[/tex] into our slope-intercept form now.
[tex]y=mx+b\\y=1x+b\\y=x+b[/tex]
Now, plug in one of the given points to solve for b.
[tex]8=10+b\\b=-2[/tex]
So our final form is:
[tex]y=x-2[/tex]
Hope this helps!
The equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.
What is the general equation of a straight line?The general equation or the slope - intercept form of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept.
Given is a line such that points (10, 8) and (19, 17) lie on this line.
The given coordinates are (10, 8) and (19, 17).
First, we will find the slope of the line as follows -
m = (17 - 8)/(19 - 10)
m = 9/9
m = 1
So, the equation of the line will be -
y = x + c
Now, we will find the y - intercept. As the line pass through the point
(10, 8), we can write -
8 = 10 + c
c = 8 - 10
c = -2
So, the equation of the line will be y = x - 2.
Therefore, the equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.
To solve more questions on straight line, visit the link below-
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If sally has 10 lollipops and gives 3 away but then but 14 more and eats 3
how many lollipops does sally have? If it is correct you can get points and brainilist
A) 13
B) 3
C) 20
D) 18
Answer:
D) 18!
Step-by-step explanation:
HAHAHAHAHH BESTIEE
At a party there were 20 more women than men. The men paid Rs 30 each, the women Rs 20 each, and the total receipts 2600. How many men and women were there in the party?
Answer: Number of Men = 44;
Number of Women = 64
Step-by-step explanation:
Let the number of men be x
At a party there were 20 more women than men. This means the number of women = x + 20
Since the men paid Rs 30 each, the women Rs 20 each, and the total receipts 2600. This will be represented in an equation as:
(30 × x) + [20 × (x + 20)] = 2600
30x + 20x + 400 = 2600
30x + 20x = 2600 - 400
50x = 2200
x = 2200/50
x = 44
The number of men = 44
Number of women = 44 + 20 = 64
Rose, I am very sorry 4 not replying to all ur text. im sorry for wat happen to ur mom.
Answer:
I feel so bad, would you mind telling me what happened to her mother..?
~isimpfortnpu
Which expression is equal to [(x4)2x3y5]??
x 26 y 10
x 22 y 10
x 13 y?
x 11 y?
(the 2,3, & 5 are all smaller)
edge 2020
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
i did it
PLEASE HELP!!! FOR 60 POINTS!! New York City has two airports (JFK and LGA). If you’re flying with United Airlines (UA) and your primary concern is to arrive on time, is it better to fly to JFK or to LGA?
Answer:
If you're heading into New York City, LaGuardia is the closest. It's just 8.6 miles from LaGuardia to Midtown Manhattan, compared to 14.7 miles from JFK and 16.6 miles from Newark.
Step-by-step explanation:
To assess if flying with United Airlines to LGA is better in terms of arriving on time, we would have to examine the on-time performance data for United Airlines flights at both airports.
What are United Airlines flights?United Airlines is a significant American airline that flies domestically as well as internationally. The airline provides a wide range of services, such as passenger transportation, cargo delivery, and vacation packages.
The US Department of Transportation tracks and distributes on-time performance information for airlines and airports on its website. We can assess whether airport has a higher on-time performance record for this carrier by examining statistics for United Airlines trips to LGA.
LGA are both important airports that serve the greater New York City area, and both can face delays and congestion. Arrive at the airport well in advance of the scheduled departure time and check with your airline for any changes.
Therefore, to assess if flying with United Airlines to LGA is better in terms of arriving on time, we would have to examine the on-time performance data for United Airlines flights at both airports.
Learn more about United Airlines flights, here:
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If the lengths of two sides of a triangle are 10 meters and 14 meters, which of the following measures is the
possible length of the third side?
O 2 meters
O 4 meters
O 22 meters
O 24 meters
PLEASE HELP FAST WHAT IS THE ANSWER FOR THIS QUESTION I WILL GVIE BRAINLIST AND EXTRA POINTS FOR CORRECT ANSWER THANKS!!
Answer:
f(2) = -3
Step-by-step explanation:
This is the answer because:
1) The question is basically asking what the y-cordinate is.
2) In order to find the y-cordinate, look at the graph and find where 2 is on the x-axis. Then, see wheree the y-coordinate is on the same line a the x-cordinate which is 2.
3) When you line up the cordinates, you can see that where x is 2, y is -3.
Therefore, the answer is -3.
Hope this helps! :D
plz help asap i will mark you brainlist plz help