Answers
Note: It seems the first term of your sequence is 7 instead of 2. So, I am assuming you meant the sequence such as;
7, 12, 17, 22, 27
Answer:
The expression for the nth term of the givens sequence is:
[tex]a_n=5n+2[/tex]Step-by-step explanation:
Given the sequence
7, 12, 17, 22, 27
Here, the first element of the sequence is:
[tex]a_1=7[/tex]
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]12-7=5,\:\quad \:17-12=5,\:\quad \:22-17=5,\:\quad \:27-22=5[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=5[/tex]
so substituting d = 5 and [tex]a_1=7[/tex] in the nth term to determine the expression
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=5\left(n-1\right)+7[/tex]
[tex]a_n=5n+2[/tex]
Therefore, the expression for the nth term of the givens sequence is:
[tex]a_n=5n+2[/tex]Related Questions
Which expression is equivalent to 4 (2p+4q)?
A 4p + 169
B 8p + 49
2p+ (3p + 169)
None of the above
Answers
Answer:
None of the above.........
Given f(x)=3x−2, find f(−5).
Answers
Step-by-step explanation:
f(x)=3x-2
f(-5) means that x equals -5
All you would need to do is substitute -5 into the equation
3(-5) - 2
-15-2
-17
f(-5) is -17
Answer:
-17
Step-by-step explanation:
f(-5) means plug -5 for x
thus f(-5) = 3(-5) -2 = -17
Someone help plz I need some help good at finding slope people? Anyone
Answers
since the slope is decreasing, it is negative.
Answer:
So the slope is -5/2.
Step-by-step explanation:
You want to look at the line to find the slope of it. For slope you want to find rise/run. This is the same as: change in y/change in x. awe have 2 points (the blue dots) to find slope. With this, let's find the change in y and the change in x. For those 2 dots, the change in y is down 5, which means -5 (if it was up 5 it would be 5)For change in x, it is to the right 2, which means 2 (if it was 2 to the left then it would be -2). Therefore, the slope would be change in y/change in x which is -5/2 (the 3rd option)La floristería de Rosalina vende rosas por docenas. El viernes Rosalina recibió un pedido de 21 docenas de rosas. ¿Cuántas rosas necesita Rosalina para cumplir el pedido? A 144 rosas B 212 rosas C 252 rosas D 262 rosas
Answers
Rosalina's florist sells roses by the dozen. On Friday Rosalina received an order for 21 dozen roses. How many roses does Rosalina need to fulfill the order? A 144 roses B 212 roses C 252 roses D 262 roses
Given that,
Rosalina received an order for 21 dozen roses
To find,
Number of roses.
Solution,
We know that,
1 Dozen = 12 items
We need to find number of roses in 21 dozen roses.
21 dozen = 21 × 12
= 252 roses
Hence, 252 roses Rosalina need to fulfill the order
Keri has two pencils. Her yellow pencil measures 1/4 of a foot, and her green pencil measures 2/3 of a foot. How much shorter is Keri's yellow pencil than her green pencil?
Answers
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} - \frac{1}{4}[/tex]
Common Denominator:
[tex]\frac{8}{12} - \frac{3}{12}[/tex]
Subtract the numerator, the denominator stays the same.
[tex]\frac{5}{12}[/tex]
(2 + 1/2) = (1 + 2/3) / y
Answers
Answer: y= 0.64 is the answer
pleaseee help !!!!!!!
Use the picture to match each trig function with its ratio:
-5/4
-3/5
-4/5
-3/4
-5/3
Answers
Step-by-step explanation:
sinθ = Opposite/Hypotenuse = 3/5.
cosθ = Adjacent/Hypotenuse = 4/5.
tanθ = Opposite/Adjacent = 3/4.
If y − 3 = 3x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
A. {(0, 3), (1, 6), (2, 9)}
B. {(3, 0), (6, 1), (9, 2)}
C. {(1, 3), (2, 6), (3, 9)}
D. {(3, 1), (6, 2), (9, 3)}
Answers
Answer:
A. {(0, 3), (1, 6), (2, 9)}
Step-by-step explanation:
All you have to do is substitute them
A.
y − 3 = 3x
3 - 3 = 3 (0)
0 = 0
y − 3 = 3x
6 - 3 = 3 (1)
3 = 3
y - 3 = 3x
9 - 3 = 3 (2)
6 = 6
__________________________________________________________
B.
y - 3 = 3x
0 - 3 = 3(3)
-3 = 6
You can tell that this one can't be one of the answer which means that B wont be the answer, so you don't have to do anymore work for this one.
__________________________________________________________
C.
y - 3 = 3x
3 - 3 = 3(1)
0 = 3
This one can't be an answer either
__________________________________________________________
D.
y - 3 = 3x
1 - 3 = 3(1)
-2 = 3
And this one can't be an answer either
__________________________________________________________
This concludes, that A will be the answer here since all of the ordered pair can be x and y when you use the inputs and outputs that were given.
Hope this helped!
2. What is the largest decimal in hundredths rounded to 0.5?
3. One centimeter is equivalent to about 0.3937 inch. Round off the given equivalent to the nearest hundredths.
4. Mrs. Edlagan has a total deposit of Php 50 766.25. The annual interest at 3% simple interest is Php 1 522.9875. Round the interest off to the
nearest hundredths and thousandths.
Answers
Answer:
In mY Knowledge
answer of 2) 0.49
3) 0.39
4) 50 766.20 and 1 522.9878
hope it helps :D
am I too late to answer this!?
The given numbers can be rounded off by using the rules of rounding off to the nearest hundredths and rounding off to the nearest thousandths.
Rules for rounding off to the nearest hundredths are:
Rule 1 - In rounding off to the nearest hundred, the digit at tens place is in between 0 to 4 then replace that digit by 0.
Rule 2 - In rounding off to the nearest hundred, the digit at units place is replaced tens place digit by 0 if the digit is greater than or equal to 5 and hundreds place digit is increased by 1.
Rules for rounding off to nearest thousandths:
Rule 1 - In rounding off to nearest thousandths, if the digit at hundreds place is in between 0 to 4 then it is replaced by 0.
Rule 2 - In rounding off to the nearest thousandths, if the digit at hundreds place is greater than or equal to 5 then increase it by 1.
2). The largest decimal in hundredths rounded to 0.5 is 0.49.
3). One centimeter is equivalent to about 0.3937 inches. So, the given equivalent rounding to the nearest hundredths is 0.39.
4). The number 50766.25 rounded to the nearest hundreds is 50766.20 and the number 1522.9875 rounded to the nearest thousandths is 1522.9878.
For more information, refer to the link given below:
https://brainly.com/question/2096984
A problem contains the points (0,0),(1,-2) and (-1,-4). What is the equation of this parabola in standard form?
Answers
Answer:
The general equation of the parabola y = -3 x² + x
Step-by-step explanation:
Step(i):-
Given points are (0,0) , (1, -2) and ( -1 , -4 )
Given the standard parabola
y = ax²+ b x + c ...(i)
Passing through the point (0,0)
c = 0
Passing through the point (1,-2)
-2 = a(1) +b(1)
a + b = -2 ...(ii)
Passing through the point (-1, -4)
- 4 = a - b
a - b = -4 ...(iii)
Step(ii):-
Adding (ii) and (iii) equations , we get
2 a = -6
a = - 3
substitute a = - 3 in equation (ii)
-3 + b =-2
b = -2 + 3 = 1
Final answer:-
The general equation of the parabola
y = ax²+ b x + c
y = -3 x² + x + 0
y = -3 x² + x
Calculate the mean, median and mode for each set of data.
2, 4, 7, 4, 8, 9, 12, 4, 7, 3
Answers
Median is 8 I THINK but if someone else answers and says only answer then they are right
Mean is 6
Answer:
mean= 6
median= 5.5
mode= 4
Step-by-step explanation:
mean is all the numbers added up then divided the total amount of numers up then divide. 2+3+4+4+4+7+7+8+9+12=60/10=6
median is the numbers lowest to highest then the middle number
2,3,4,4,4,7,7,8,9,12 the median is 5.5 because that is the middle between 4 and 7
mode is the most frequent value and that is 4 because 4 shows us 3 time and 7 showsup 2
A scale on a map of a national park reads 1 inch equals 0.25 miles. The national park is roughly in the shape of a rectangle. If the map of the park is 12 inches tall and 8 inches wide, estimate the total area of the park
Answers
Answer:
24 miles
Step-by-step explanation:
12 x 8 = 96
1 in = 0.25
96 in = 24
Answer:
6m^2
Step-by-step explanation:
Set up proportions and find the length and width of the park in miles.
Length:
l = 12(0.25)
l = 3 miles
Width:
w = 8(0.25)
w = 2 miles
The area of the park is A = lw = (3)(2) = 6 mi.2
Alazari rode her bike to school
then the hospital and back home.
If she lives 70 meters from school
and 60 meters to the hospital, how
far did she travel in all?
-
Answers
Kelly works at a restaurant. Today, a family of four sat at one of her tables. Each person ordered a
value meal, which has a cost of $9.50, along with a drink
, which has a cost of $1.50. If the family
also left Kelly a tip of 15%, what was the total amount that they paid?
Answers
Answer:
9.50+1.50 = 11
11*4 = 44
44/100*115= 50.6
T= $50.60
please someone hellp
Answers
Answer:
The first one
because 8 - 3 = 5 and is not less than it
hope this helps :)
Step-by-step explanation:
When u replace the x w/ 2 and y w/ 3 is does not add up to something less than 5
Please Help!!!!
Mei graphed the locations of several places in her town on the coordinate plane shown below. There is also
an ice cream shop halfway between the school and hospital.
At what coordinates should Mei graph the ice cream shop?
Y
9
8
Courthouse
6.
Grocery Store
5
4
3
2
1
Home
School
+ 3
1 2 3 4 5 6 7 8 9
-9 -8 -7 -6 -5 -4 -3 -2
Library
-2
Answers
Answer:
(6, -4)
Step-by-step explanation:
The ice cream shop should be between the school and hospital.
Answer:
If I’m correct you graph the ice cream store at (6, -4)
Step-by-step explanation:
Simplify the expression below.
3(3x + 5) – 7x – 8
Answers
Answer:
2x+7
Step-by-step explanation:
Heath made a $100 deposit to Wildcat Bank and Trust on Monday. Later that day, he purchased a $35 football signed by the famous
quarterback, William Hadiey. Three days later he sold the item for $90, which he deposited back into his bank account. What Is Heath's new
account balance?
Answers
Answer:
155 would be your answer
Step-by-step explanation:
100-35=65+90=155
Which point on the number line best represents V10
Answer between 3.1 and 3.2
Answers
Answer:
The square root of 10 is 3.16. Point F is between 3.1 and 3.2.
Step-by-step explanation:
Given below are the coordinates of the vertices of a triangle. Find the lengths of the sides of the triangle, then click to
identify the triangle as scalene, isosceles, or equilateral.
K(7,0), L(3, 4), M(2, -1)
Answers
Answer:
Step-by-step explanation:
KL = [tex]\sqrt{(3-7)^2 +(4-0)^2}[/tex] = 4√2
LM = [tex]\sqrt{(2-3)^2 +(-1-4)^2}[/tex] = √26
KM = [tex]\sqrt{(2-7)^2 +(-1-0)^2}[/tex] = √26
ΔKLM is isosceles.
Answer:
Triangle KLM is isosceles.
Step-by-step explanation:
Hope this helps.
If 18 apples are to be packed 6 to a bag, then how many bags are needed?
Answers
Answer:
3
Step-by-step explanation:
18 divided by 6 is 3, im not very good at explaining-
Help me ASAP explain and answer
Answers
Answer:
72
Step-by-step explanation:
(9+9+7^2)-4+9
(9+9+49)-4+9
67-4+9=72
I believe this is correct.
Answer:
(9+9+7^2)-4+9= 72
Step-by-step explanation:
Using PEMDAS, we can solve this problem easily. First, look for parentheses. Inside of the parentheses is an exponent, 7^2. This equals 49. Continuing to solve inside the parentheses, we get 9+9+49= 67. Now, we add and subtract from left to right. Our new equation looks like 67-4+9=?. 67 minus 4 is 63, and 63 plus 9 is 72. Thus, the answer to this equation is 72.
Hope this helps!
Which expression shows 20% of 60?
a) 1/4 • 60
b) 1/20 • 60
c) 1/5 • 60
d) 1/50 • 60
Answers
Answer:
C | 1/5
Step-by-step explanation:
There are 5 20s in 100. Meaning if you only have one 20, it'd be 1/5.
Answer:
C: 1/5 · 60
Step-by-step explanation:
I got it right on I-ready.
Hope this helps!
From: Aug1e
Layla bought a pencil for $1.25, a pen for $2.25, and three erasers for $0.45 each. She gave the cashier $10 for the items. How much change did Layla get back?
Answers
Answer:
1.25+2.25+(o.45 x 3)
=6.95
10-6.95
= got back $3.05
Step-by-step explanation:
Answer:
5.15
Step-by-step explanation:
.45 x 3 = 1.35
1.35 + 1.25 = 2.6
2.25 + 2.6 = 4.85
$10 - 4.85 = 5.15
Pweeze help and I will give brainliest
Answers
Answer:
Part A) plot 1 and -2.5.
B) The opposite of 2 is -2. The only number that has its own opposite is 0. The first statement is false.
The opposite of 1.5 is -1.5, so the opposite of the opposite of 1.5 is equal to the opposite of -1.5, which is 1.5. The second statement is true.
Hope this helps sorry for not answering earlier
WILL MARK YOU BRAINLIEST HURRY PLZ IM ON A TIME LIMIT
Answers
Answer: it is 1,3,4
Step-by-step explanation:
Pls help and show workings
Answers
Answer:
x = 30
Step-by-step explanation:
Since RQ bisects ∠ PRS, then
∠ SRQ = ∠ PRQ , substitute values
3x - 20 = x + 40 ( subtract x from both sides )
2x - 20 = 40 ( add 20 to both sides )
2x = 60 ( divide both sides by 2 )
x = 30
find the value of X
Answers
Answer:
B X equals 3
Step-by-step explanation:
e3quals 3
Find the length of side x simplest radical form with a rational denominator
Answers
Answer:
The length of x in the simplest radical form with a rational denominator will be:
[tex]x=\frac{5\sqrt{3}}{2}[/tex]Step-by-step explanation:
Given
hypotenuse = 5
angle Ф = 60°
To determine
x = ?
Using the trigonometric ratio
cos Ф = adjacent / hypotenuse
here
Ф = 60°
adjacent of 60° = x
hypotenuse = 5
so substituting Ф = 60°, adjacent = x and hypotenuse = 5 in the equation
cos Ф = adjacent / hypotenuse
so
[tex]cos\:60^{\circ }\:=\:\frac{x}{5}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{x}{5}[/tex]
switch sides
[tex]\frac{x}{5}=\frac{\sqrt{3}}{2}[/tex]
Multiply both sides by 5
[tex]\frac{5x}{5}=\frac{5\sqrt{3}}{2}[/tex]
Simplify
[tex]x=\frac{5\sqrt{3}}{2}[/tex]
Therefore, the length of x in the simplest radical form with a rational denominator will be:
[tex]x=\frac{5\sqrt{3}}{2}[/tex]3
2 X-3
5
S
[tex]2( \frac{x - 3}{5} ) = x - \frac{3}{5} [/tex]
Answers
Answer:
x=-1
Step-by-step explanation:
Given,
[tex]2(\dfrac{x-3}{5})=x-\dfrac{3}{5}[/tex]
To Find : x
[tex]\dfrac{2(x-3)}{5}=x-\dfrac{3}{5}[/tex]
[tex]\dfrac{2x-6}{5}=x-\dfrac{3}{5}[/tex]
[tex]\dfrac{2x}{5}-\dfrac{6}{5}=x-\dfrac{3}{5}[/tex]
[tex]\dfrac{2x}{5}-x = \dfrac{6}{5}-\dfrac{3}{5}[/tex]
[tex]\dfrac{2x-5x}{5} = \dfrac{6-3}{5}[/tex]
[tex]\dfrac{-3x}{5} = \dfrac{3}{5}[/tex]
[tex]x = -1[/tex]
Hence, the value of x is -1.