Given:
The sequence is 5, 15, 25, ... .
To find:
The explicit formula for the nth term of the given sequence.
Solution:
We have,
5, 15, 25, ...
It is an AP because the difference between two consecutive terms are same.
Here,
First term : a = 5
Common difference : d = 15 - 5 = 10
Now, the explicit formula for the nth term of an AP is
[tex]a_n=a+(n-1)d[/tex]
Where, a is the first term and d is the common difference.
[tex]a_n=5+(n-1)10[/tex]
[tex]a_n=5+10n-10[/tex]
[tex]a_n=10n-5[/tex]
Therefore, the required explicit formula for the given sequence is [tex]a_n=10n-5[/tex].
Subtract the following polynomials vertically. (8x+5y+4)-(3x-9y-5)
Answer:
The answer is 5x + 14y + 9
Step-by-step explanation:
Simplify the expression.
~Hoped this helped~
whats the slope of the line and whats in on the graph?
Answer:
-1 is the slope
Step-by-step explanation:
The rise is up 1 and the run is sideways 1.
Hope it helps!
HELP ME THIS DUE IN LIKe 2 MINUTES HELPY HELP HELP
Answer:
34!
Step-by-step explanation:
Answer:
8/2+1
Step-by-step explanation:
hope that helps
HELP NEEDED ASAP!!!!!!!!!!!!! GIVING BRAINLIEST
Answer:
1) 4, 5, and 8
2)the y intercept is -4
Step-by-step explanation:
1) The lines are cut by a transversal which makes 4,5, and 8 equal.
2) The line hits the y-axis at -4.
Hope this helps! :)
9. Jamie ha ahorrado $ 42 del dinero de su asignación para comprar libros. Si compra 5 libros a d dólares por libro, le quedarán 42 5d de su asignación. ¿Cuánto le queda si los libros cuestan $ 3.50 cada uno?
Answer:
$24.50
Step-by-step explanation:
Jamie has saved $ 42 of his allowance money to buy books. If you buy 5 books at d dollars per book, you will have 42- 5d left of your allowance. How much is left if the books cost $ 3.50 each?
We have the equation
42 - 5d = Amount of Allowance left
d = 3.50
Hence:.42 - 5 × 3.50
= $42 - 17.5
= 24.5
In EFG, EG is extended through point G to point H, m< EFG (2x+1),
m
Answer:
1
Step-by-step explanation:
Answer:x+19=(6)+19=25
Step-by-step explanation:
Hector spent $40.75 for 2 DVDs that cost the same amount. The sales tax on his purchase was $4.15. Hector also used a coupon for $1.00 off his purchase. How much did each DVD cost?
Answer:
36.75 + 1 = 37.75 - 2.15 = 35.60/2 = 17.80
What is -3x+12y=24 in standard form
Use the Distributive Property to simplify the expression. 8(12+a)
HELP ME PLEASE I BEG OF YOU
I'm just a kid trying not to fail math
Answer:
96.8a thats what I got
Step-by-step explanation:
hope this helps
1. What are the coordinates of the solution to this linear system
A. (2.1)
B. (-2,1)
C. (-1,2)
D. (2,-1)
Parallelograms (5x+4). 59
Answer:
59 = (5x + 4)
x = 11
Step-by-step explanation:
59 = (5x + 4)
5x + 4 = 59
5x = 59 - 4
5x = 55
x = 55/5
x = 11
When 3 is divided by 9 what is the denominator?
Answer:
the equation is 9/3, so the denominator is the number under the line, so the denominator is 3.
Answer:
the denominator is 3! look up a division diagram to help u learn the terms of division.
Step-by-step explanation:
Zackary says that point c has the same location as point a because both points have the same coordinates.is Zachary right?explain why or why not
Answer:No
Step-by-step explanation:
No because A was (3,4) and point C was (4,3).
I hope this helps !!
is it inside, on, or outside
Answer:
On
Step-by-step explanation:
Answer:
On
Step-by-step explanation:
(-4)^2+(3-5)2=
16+(-2)^2=
16+4=20
Pls answer the four questions if they are true or false!!
Thanks!!
Answer:
..........
Step-by-step explanation:
False
False
True
True
In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the
new price for a total of $5.88.
Answer:
original price per pound = $1.21
Step-by-step explanation:
In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of 5.88
write an equation to determine the original price per pound (p)
find the original price per pound
Let
p = original price per pound
3p = original price for 3 pounds
Additional increase = 0.75
Number of pounds = 3
3p + 0.75(3) = 5.88
3p + 2.25 = 5.88
3p = 5.88 - 2.25
3p = 3.63
p = 3.63/3
p = 1.21
original price per pound = $1.21
What is the value of
[tex]2 {x}^{ - 2} {y}^{ - 2} [/tex]
for x = 3 and y = -2?
A.
[tex] \frac{1}{18} [/tex]
B. 72
C.
[tex]2 {( - 6)}^{ - 4} [/tex]
D. 1/648
PLZ HELP!!!
multiply the polynomials.
(x+3)(x^2-6x+5)
A. x^3-3x^2-13x+15
B. x^3-6x^2+5x+15
C. x^3-6x^2-13x+15
D. x^3-3x^2+5x+15
the answer is A
:D :D :D :D :D :D :D
help with this question
Answer: yes y=12 is a solution to y over -6
Step-by-step explanation: you simply have to put 12 in for y. 12 divided by -6 = -2.
[tex] \frac{12}{ - 6} = - 2 [/tex]
[tex] - \frac{2}{1} = - 2[/tex]
Therefore, y = 12 is the correct solution.
We get -2/1 from 12/-6 by diving the top and bottom by 6.
help me -30=5(x+1)−30=5(x+1) x=
Answer:
X=-7
Step-by-step explanation:
Divide then subtract to get x by itself
-30=5(x+1)
Divide each side by 5= -30/5=5(x+1)/5
-30=x+1
-6=x+1
-6-1=x+1-1 Subtract one to get x by itself
-6-1=x+1-1 (cross out both x's.
-6-1=x
Hope this helped
In ΔPQR, r = 4.9 cm, ∠R=21° and ∠P=104°. Find the length of p, to the nearest 10th of a centimeter.
Answer:
Step-by-step explanation:
The answer is the length of p, to the nearest 10th of a centimeter is 13.3 cm .
What is the law of sines ?
he Law of Sines (or Sine Rule) is very useful for solving triangles.
According to the law ,
When we divide side a by the sine of angle A
it is equal to side b divided by the sine of angle B
and also equal to side c divided by the sine of angle C
[tex]\rm \dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}[/tex]
It is given that in Δ PQR
r = 4.9 cm
angle R = 21
angle P =104
Length of p needs to be found
Therefore by using above equation
[tex]\rm \dfrac{r}{sinR} = \dfrac{p}{sinP}[/tex]
[tex]\rm \dfrac{4.9}{sin21^{0}} = \dfrac{p}{sin104^{0}}[/tex]
p= 13.3 cm
Therefore the length of p, to the nearest 10th of a centimeter is 13.3 cm .
To know more about law of sines
https://brainly.com/question/17289163
#SPJ2
12x3/8 answers a 3/96
B9/8 c 36/96 d 36/8
Answer:
D, 36/8
Step-by-step explanation:
12*3/8
Since all the answers are in a fraction, we can leave our answer in one.
12x3 = 36
36/8
I NEED HELPPPPPPPPP AHHHHHHHHHHHHHHHHHHHH
please TwT
Answer:
-3,3
Step-by-step explanation:
there are two space of distance from A to the reflected line
two spaces above the reflected line is -3,3
Can you plz help me with this question thx :)
Answer:
43.988 because it is the number of the math equals math equation and then I did it.
Answer:
In this case the numbers would be 13.48 because youre taking the circumfrence out of 14
Step-by-step explanation:
3x2- 4x + 2 = 0
Discriminant to determine
Answer:
The answer is 2+/- 2 over(/) 3
Step-by-step explanation:
You use the discriminant formula :)
PLEASE HELP
James had a collection of 500 Matchbox cars at the beginning of the summer.
After the summer, James had traded some of his Matchbox cars and now he has only 485 Matchbox cars.
What is the percent decrease of his Matchbox car collection?
Which best describes a standard thermometer...
EXPLAIN
Rational
Real Number
Whole Number
Integer
Answer:
inteager
Step-by-step explanation:
temperature can express both positive and negative
2x+y+2z=7, 2x-y+2z=1, 5x+y+5z=13
Answer:
y = 3
x = 2 - z
Step-by-step explanation:
We have the system:
2*x+y+2*z=7
2*x-y+2*z=1
5*x+y+5*z=13
In the first and second equations we have the term (2*x + 2*z) = A
Then we can rewrite the first two equations as:
A + y = 7
A - y = 1
isolating A in the first equation, we get:
A = 1 + y
Now we replace this in the other equation:
(1 + y) + y = 7
1 + 2*y = 7
2*y = 6
y = 3.
then:
A + y = 7
A + 3 = 7
A = 7- 3 = 4
A = 2*x + 2*z = 4.
Now let's go to the third equation:
(5*x + 5*z) + y = 13
we can rewrite the thing inside the parentheses as:
(5/2)*(2*x + 2*y) + y = 13
And we know that:
2*x + 2*z = 4
y = 3
then this can be written as:
(5/2)*(4) + 3 = 5*2 + 3 = 13
Then we can conclude that:
y = 3
2*z + 2*x = 4
2*(z + x) = 4
(z + x) = 4/2 = 2
x = 2 - z
Notice that the solution is not only a point, we have infinite solutions for this problem.
Please Help me!
If the sales-tax rate is 8%, how much will the total cost of a purchase of $200 be?
Answer:216
Step-by-step explanation:
because 200 times 8 percent = 16 so then you add 16 too 200 and get 216.
how can you tell that the slope of the line through (2,2) and (-3,5) is negative without calculating