The sequence Tn = an + b is an arithmetic sequence.
b represents the first term, and a represents the common difference
How to interpret variables a and b?
The general term is given as:
Tn = an + b
The above term is an arithmetic sequence.
An arithmetic sequence is represented as:
Tn = T1 + (n - 1)d
Where T1 represents the first term, and d represents the common difference
By comparing Tn = an + b and Tn = T1 + (n - 1)d, we have:
b = T1
a = d
This means that b represents the first term, and a represents the common difference
Read more about sequence at:
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What is 2 7/10+4 1/10 in simplest form
Answer:
[tex]6\frac{4}{5}[/tex]
Step-by-step explanation:
[tex]2\frac{7}{10}[/tex] + [tex]4\frac{1}{10}[/tex] = ( 2 + 4 ) + ( [tex]\frac{7}{10}[/tex] + [tex]\frac{1}{10}[/tex] ) = 6 [tex]\frac{7+1}{10}[/tex] = 6 [tex]\frac{8}{10}[/tex] = [tex]6\frac{4}{5}[/tex]
Based on your value of x in question #1, what is the value for ∠EHF
1) 132 degrees
2) 96 degrees
3) 180 degrees
4) 90 degrees
Answer:
∠EHF = 132°
Step-by-step explanation:
Both angles lie on a straight line.
=====================
∠EHF + ∠FHG = 180°2(x) + 48° = 180°2(x) = 180° - 48°2(x) = 132°x = 66°Then ∠EHF :
2(x)2(66)132°Angles are supplementary hence their sum is 180°
So
2x+48=1802x=180-482x=132x=66So
<EHF=2(66)=132°
Is –6 − 65 positive or negative?
Answer:
It is negative.
Step-by-step explanation:
-6 - 65 is -71
Hope that helps!
Answer:
negative
Step-by-step explanation:
The equation -6 - 65 equals -71 because 65 is a positive number and -6 is not which means it must keep going negative because a negative plus a positive goes negative.
helpp!! Please I appreciate it
Answer:
x < -10
Step-by-step explanation:
Solve the inequality.
-2x + 4 > 24 Subtract 4 from both sides
-2x > 20 Divide both sides by -2
x < -10 We must flip the inequality sign because we divided by a negative number in the last step.
When you graph, draw a number line. Then, draw a circle on top of -10. Since x is less than -10, the arrow goes to the left of -10. Additionally, the circle on top of -10 will be an open circle because the inequality sign is a less than, not a less than or equal to.
I hope this helps and please mark me as brainliest!
A mechanic works on the overhaul of a transmission. He starts at 8:25 AM and finishes
at 4:25 PM, and takes one hour off for lunch. At $18.75 per hour, find out how much the
mechanic earned to the nearest crent.
What 2x4
Beacuse I need help on how to soulf it
Answer:
Its 8
Step-by-step explanation:
what is the degree of the expression 5x²+y+10
Answer:
2
Step-by-step explanation:
Where do you get the 2/5 and 3/5 from
Answer:
we can get 3/2 as the answer
math help i’ve been stuck on this for the longest
I need help with this, question is in image.
Answer:
-75 ft
Step-by-step explanation:
Hope this helps! Have a great day!!
Answer:
-75
Step-by-step explanation:
hope this helped.
No explanation really is there to it.
Have a great day! :)
Using the net below, find the surface area
of the triangular prism.
4 cm
3 cm
6 cm
4 cm
6 cm
3 cm
5 cm
4 cm
Surface Area = [?] cm2
Quotient for 7.924/0.7
Answer:
11.32
Step-by-step explanation:
HURRY AND TY !!!!!!!!
Answer:
17
Step-by-step explanation:
5 ft 3 inches = 63 inches
3 ft 10 inches = 46 inches
63-14 = 17 inches
Answer:
17 inches
1 foot 5 inches
Step-by-step explanation:
1 foot = 12 imches
First we multiply :)
5 x 12 = 60
3 x 12 = 36
Now we add on the already there inches :)
60 + 3 = 63
36 + 10 = 46
Finally we subtract :)
63 - 46 = 17
17/12 = 1 foot 5 inches :)
Have an amazing day!!
Please rate and mark brainliest!!
Which equations can be used to find the lengths of the legs of the triangle? Select three options.
0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x – 24 = 0
x2 + 2x – 48 = 0
x2 + (x + 2)2 = 100
The equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24
Pythaogram theoremAccording to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.
From the diagram
hypotenuse = 10ft
Other sides are x and (x+2)ft
According to the theorem:
10^2 = x^2 + (x+2)^2
x^2 + (x+2)^2 = 100
Expand
x^2 + x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
x^2 + 2x - 48 = 0
Divide through by 2
0.5x^2 +x - 24 = 0
0.5x(x+2) = 24
Hence the equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24
Learn moreon Pythagoras theorem here: https://brainly.com/question/18811544
factorise:-
(a+b)³ - (a-b)³
[tex](a+b)^3 -(a-b)^3\\\\=(a+b-a+b)[(a+b)^2 + (a+b)(a-b) +(a-b)^2]\\\\=2b(a^2+b^2+2ab+a^2-b^2 +a^2 +b^2 -2ab)\\\\=2b(3a^2+b^2)[/tex]
Answer:
Step-by-step explanation:
(a + b)³ - (a - b)³ = a³ + 3a²b + 3ab² + b³ - [a³ - 3a²b + 3ab² -b³]
= a³ + 3a²b + 3ab² + b³ - a³ + 3a²b - 3ab² + b³
= a³ - a³ + 3a²b + 3a²b + 3ab² - 3ab² + b³ + b³
Here, the underlined terms will be cancelled.
= 6a²b + 2b³
= 2 * 3 *a²*b + 2*b³
= 2b* (3a² + b²)
PLEASE ANSWER - BRAINLY IF 2 ANSWERS - THANKS ON PROFILE TOO - 5 STAR RATING!
Answer:
b
Step-by-step explanation:
it takes 3 eggs to make two dozen cookies. About what fraction of an egg are in two cookies
keeping in mind that two dozen cookies is just 24 cookies, then
[tex]\begin{array}{ccll} eggs&cookies\\ \cline{1-2} 3 & 24\\ x& 2 \end{array} \implies \cfrac{3}{x}=\cfrac{24}{2}\implies \cfrac{3}{x}=12\implies 3=12x \\\\\\ \cfrac{3}{12}=x\implies \cfrac{1}{4}=x[/tex]
Alfred, an electrician, charges a $65
service fee plus $33 an hour. If it takes 2.4 hours
for Alfred to install a chandelier at a customer's
house, how much should he charge?
Answer:
$144.20
Step-by-step explanation:
2.4(33) + 65
79.2 + 65
144.2
$144.20
i need help finding our the perimeter
Answer:
11x + 10y - 2w
Step-by-step explanation:
Hello!
To solve for the perimeter, we add up the like terms.
What are like terms?
Like terms are terms with the same variable and degree. 4x and 5y are NOT like terms because the variable is not the same. However, 4x and 3x are like terms, as adding them gives us 7x.
4x and 4x² are not like terms, because the degree of 4x is 1 (degree means the largest exponent), but the degree of 4x² is 2.
Solve for Perimeter:
Combine the like terms by adding them up.
Perimeter = (8x - 4w) + (3y + 2w) + (3x + 7y)P = 8x - 4w + 3y + 2w + 3x + 7yP = 8x + 3x + 3y + 7y - 4w + 2wP = 11x + 10y - 2wThe perimeter is 11x + 10y - 2w
I need help
Marcus goes to the park, which is 4 miles away. He walks 5/12 of the way and then jogs the rest of the way.
Write an equation to find how many miles he walks.
Answer:
Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)
Step-by-step explanation:
Answer:
Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)
Step-by-step explanation:
7
Write the expanded form of 0.031 with fractions. Then complete
the steps to show how to write 0.031 as a fraction.
0.031 =
Х
1
+
100
Х
1,000
3
=
1
+
=
+
1,000 1,000
1,000
Answer:
soulutions
0,03| = 3×1^100 × 1× 1^1000
=3^100 + 1^1000
=30^1000 + 1^1000
=31^1000
(3=3×10 =30 )
(100 1000 1000 )
The ratio of red to yellow counters is 2:3 There are 20 counters in total. How many counters of each colour are there? You can colour the counters to help you. please help me
Answer:
2:3 = 5
Red counters
2÷5×20
= 8
- therefore there are 8 Red counters
Yellow counters
3÷5×20
= 12
-therefore there are 12 yellow counters
is 1 2/6 irrational or rational?
Which equation results from adding the equations in this system?
-2x+y=8
5x-y=-5
O 7X= 13
O 7x=3
O 3x = 3
O 3x= 13
Answer:
3x = 3
Step-by-step explanation:
the right answer is 3x = 3
-2x + y = 8 .......(i)
5x-y =-5........(ii)
From equation (i)
y=8+2x
Putting the value of y in euation (ii)
We have,
5x-(8+2x) = -5
5x-8-2x = -5
3x=-5+8
3x = 3
also what we can do is,
x=3/3
therefore, x =1
how to simplify 8 + ( -6 ) + 4
Answer:
6
Step-by-step explanation:
8+4=12
12-6=6
What is the quotient of the division below? 96 divided by 3 = 13 23 31 32
Answer:
The answer is 32
Step-by-step explanation:
9/3=3 6/3=2 32
1) Draw [ab] and [bf] the images of [AB] and [BF] respectively with respect to L. What do we deduce about [ab] and [bf]? 2) Draw [de] the image of DE with respect to L. What do we deduce about [de] and [bf]? 3) Locate c be the symmetry of C with respect to L. What can we deduce about b, c, f? 4) Locate g the symmetry of G with respect to L. What can we g deduce about g with respect to [de]?
Step-by-step explanation:
can you clear more I don't understand
PLEASE SOLVE THIS I NEED IT I GOTTA GO TO SCHOOL AT MONDAY I NEED IT ILL GIVE BRAINLIES
Answer:
In order to make a triangle, the sum of 2 sides must be greater than the third side
in number one 2+3=5 so no you can't make a triangle
you can do it likewise ...
Help, question is in image.
Answer:
-31
Step-by-step explanation:
substitute- y-8b = -7-8(3)
8(3)=24
-7- -24=
solve- -31
Answer:
-31
Step-by-step explanation:
Given
binomial: y - 8b
y = - 7
b = 3
Solution
-7 - 8(3) Substitute 3 in for b and - 7 in for y
-7 - 24 Combine -8 and 3 (which is - 24
-31 Answer. - 31
Solve for x in the triangle. Round your answer to the nearest tenth. (Please help)
Answer:
x = 6.5
Step-by-step explanation:
Since this is a right triangle we can use trig functions
cos theta = adjacent side / hypotenuse
cos 23 = 6/x
x cos 23 / 6
x = 6 /cos 23
x=6.51816
Rounding to the nearest tenth
x = 6.5