Answer:
The 5th term:
a₅ = 18
Step-by-step explanation:
We know that Arithmetic sequences have a constant rate of change.
Given
a₃ = 12common difference = rate pf change = d = 3The nth term of the Arithmetic sequence with a₁ and 'd' is defined as
aₙ = a₁ + (n-1)d
Where
a₁ is the first term
d is the common difference
as
a₃ = 12
d = 3
so
Plug in n=3
a₃ = a₁ + (3-1)d
Now Plug in a₃ = 12 and d = 3
12 = a₁ + (3-1)3
12 = a₁ + 2(3)
12 = a₁ + 6
a₁ = 6
so
Formula to find the 5th term
a₅ = a₁ + 4d
Plug in a₁ = 6 and d = 3
a₅ = 6 + 4(3)
a₅ = 18
Therefore, the 5th term:
a₅ = 18
Harold cut 18 and a half
inches off a rope that was 60 inches long. How is the length of the remaining rope in inches written in decimal form?
The length of the remaining rope is 41.5 inches.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Harold cut 18 and a half inches off a rope that was 60 inches long.
Let the remaining length of the rope be x.
This can be written as,
⇒ [tex]x=60-18.5[/tex]
⇒ [tex]x=41.5[/tex]
Hence we can conclude that the length of the remaining rope is 41.5 inches.
Learn more about word problems here
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work out the size of angle x
7/4 fraction in lowest term
which coordinate plane represents the linear relationship 4x + 5y = 20
hi I really need help with this question
Plz show ur work
Answer:
x>-24[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
-[tex]\frac{2}{5}[/tex]x<9/10+9
-[tex]\frac{2}{5}[/tex]x<99/10
x>99/10*-5/2
Identify the set of numbers that makes up the domain in the relation ((-2,-2), (0, 2), (2, 4), (3, -6)).
0-2.0.2.3
0-2.0.3,4
0-6-2, 0.2.3.4
0-6-2, 2.4
Answer:
The first set, -2,0,2,3 are the domains of this relation.
Answer:
The correct answer is:
Option 1: -2,0,2,3
Step-by-step explanation:
When a relation is written in the form of ordered pairs.
In each ordered pair, the first element/coordinate is the input of the function and the second element//coordinate of ordered pair is the output.
The set of inputs is the domain of the relation.
Given relation is:
((-2,-2), (0, 2), (2, 4), (3, -6)).
The first element of each ordered pair is:
-2, 0, 2, 3
Hence,
The correct answer is:
Option 1: -2,0,2,3
When f(n) = 34, what is the value of f(n-6)?
Answer:
28
Step-by-step explanation:
f(n)=34, f(n-6)=34-6
=28
WILL MARK BRAINLEST
Examine the algebra tiles.
Which equation is being modeled?
4x + 3 = 4x + 5
–3x + (–3) = 4x + 5
4x + (–3) = 5x + 4
–3x + 4 = 5x + 4
Answer:
3rd one
Step-by-step explanation:
Answer:
4x + (–3) = 5x + 4
Step-by-step explanation:
right on edge
pls help!!!!!!!!!!!!!!
Answer:
C) √221 units
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-7, 7)
Point (7, 2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: [tex]d = \sqrt{(7+7)^2+(2-7)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(14)^2+(-5)^2}[/tex]Exponents: [tex]d = \sqrt{196+25}[/tex]Add: [tex]d = \sqrt{221}[/tex]A quadrilateral has vertices A(4, 5), B(7, 7), C(6, 8), and D(4, 7). The image of the quadrilateral has vertices A"(–6, 0), B"(–9, –2), C"(–8, –3), and D"(–6, –2).
Which transformations may have taken place?
A. T (-2, 5) r y=x
B. T(-2,5) R 0,180
C. r y=x T(–2, 5)
D. R 0,180 T(-2,5)
Answer:
D
Step-by-step explanation:
The following list gives the number of public libraries in each of 11 cities. 7, 11, 8, 7, 8, 7, 8, 11, 8, 10, 7 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."
Answer:
The mode are: 7, 8
Step-by-step explanation:
Given
[tex]7, 11, 8, 7, 8, 7, 8, 11, 8, 10, 7[/tex]
Required
Determine the mode
We start by arranging the given data in ascending order
The ordered data are:
[tex]7,7,7,7, 8,8,8,8, 10, 11, 11[/tex]
From the above data.
7 has a frequency of 4
8 has a frequency of 4
10 has a frequency of 1
11 has a frequency of 2
The data with the highest frequency is the mode.
We can see that 7 and 8 both have frequencies of 4
Hence, the mode are: 7, 8
Answer:
The mode are: 7, 8
Step-by-step explanation:
which of the following is a solution of 3x^2=7x-3
a.) -7(plus or minus) square root of 13 over 6
b.) 7(plus or minus) square root of 85 over 6
c.) -7(plus or minus) square root of 85 over 6
d.) 7(plus or minus) square root of 13 over 6
Which expression are equivalent to 4m + 12?
Answer:
2(2m+6) or 4(m+3)
Step-by-step explanation:
answers can vary, but I would go with the second one becuase it's always best to distribute the greatest common factor.
Answer:
4(m+3) and 6m- 2m + 12
Step-by-step explanation:
find the differential coefficient of y=5×
[tex]\huge\mathbb\purple{AnSwEr}[/tex]
[tex]\huge❤\bold\red{Hello}❤[/tex]
Hey mate 5 is your Answer
[tex]My \: pleasure \: to \: help \: you \: anytime.[/tex]
[tex]Mark \: me \: as \: brainliest .[/tex]
[tex] \huge \mathscr \pink \star\underline {Follow \: me } \red \star[/tex]
Write the slope-intercept form of the equation of the line through the given point and slope.
Point: (-1, 2)
Slope: 1.
Answer:
y=x+3
Step-by-step explanation:
same as the last one =)
Brian borrows $7,400 from Ed, who charges him 12% simple interest each year. How much will Brian pay Ed, if he repays after 5 years?
Answer:
$11,840
Step-by-step explanation:
Answer:
$11,840
Step-by-step explanation:
TRUST ME
Kyle’s bank statement shows a balance of –$18.50. Which describes the magnitude, or size, of the debt in dollars? –$37.00 –$18.50 $18.50 $37.00
Answer:C:$18.50
Step-by-step explanation: it shows the main number so it would be c pls correct me if I'm wrong...
Answer:
c
Step-by-step explanation:
Find the value of x.
Group of answer choices
77
34
69
146
Answer:
69
Step-by-step explanation:
Use the 3x-2 and take it out
Is this a function?
Answer:
no
Step-by-step explanation:
Answer:
Step-by-step explanation:
In my opinion I would say No but I could be wrong
Six ice cream bars and four bags of chips cost $13.50. Ten ice cream bars and five bags of chips cost
$20.00. What is the cost for each item sold separately?
Answer:
For the 6 ice cream bar: $2.25
For the 10 ice cream bar: $4
Step-by-step explanation:
help :( someone can explain me
Answer:
B, C, D
Step-by-step explanation:
-2 is 8 spaces away from 6 so do the math for each possible answer and u get B,C,D.
B.
6 - (-2)
6 + 2 = 8
C.
| -2| = 2
6+2 = 8
D.
|-2+6|
2+6 = 8
Find the area of the circle.
L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVvWTNqOGJuTHdmTnhrVW1kRWx6R2lmOFAtRXRSM21JYmlqbDNRbG94LXJJSzRkRWZoZ0dHZUFHd2IwakFYRFgybm5OSXJqZjM4WWZmN1BjSGJiYllYRVdYazBULVZrUEpvMkc3X3RiQWtJVDBIUGNSdy4yS3dqV1pFWEtsZnZ4X1JZ?w=400&h=400
a
43.86 units squared
b
37.82 units squared
c
28.26 units squared
d
17.72 units squared
Answer:
C is the answer.
Step-by-step explanation:
Area of circle = [tex]\pi r^2[/tex]
radius = 3
use pi = 3.14
So you have 3.14(3)^2
which equals 28.26 units squared, which is C.
Solve x^2 +13x+12=0 Please answer this
Answer:
x=−1 or x=−12
Step-by-step explanation:
Let's solve your equation step-by-step.
x2+13x+12=0
Step 1: Factor left side of equation.
(x+1)(x+12)=0
Step 2: Set factors equal to 0.
x+1=0 or x+12=0
x=−1 or x=−12
Answer:
Solution
=
−
1
=
−
1
2
Step-by-step explanation:
I'm not 100 % sure about my answer
Two angles are complementary. The measure of the larger angle is LaTeX: 30^\circ30 ∘more than 4 times the measure of the smaller. Find the measure of both angles.
How many 5/8 inch binder clips, laid side by side, make a length of 11 1/4 inches?
Answer:
18
Step-by-step explanation:
Because 5/8×18 is 11 1/4
Answer:
what he said
Step-by-step explanation:
plis help
Find the distance from the origin to the graph of 6x+3y+2=0
a.
0.33
b.
0.31
c.
0.3
d.
0.32
Answer:
Step-by-step explanation:
B is the answer
Please helpppp me. Will give Brainlyist
What is the ratio for5to 10
Answer:
answer would be 1:2
Step-by-step explanation:
you have to find the greatest common divisor of 5 and 10 and you divide 5 and 10 by the greatest common divisor.
The greatest common divisor that you can apply for 5:10 is 5 which means the answer to the ratio of 5:10 is:
1:2
Simplify
69 +39
018
O 81
Answer:
108
Step-by-step explanation:
Answer:
I don't get it is there more option or something.
I need help pleas I need it please please please free 50 points free 50 pionts
Answer:
0
Step-by-step explanation:
Answer:
1785
Step-by-step explanation: