Answers
A 3
B t = -7n +39
C 51.571
It is declining!
32 to 25 decreases by 7
25 to 18 decreases by 7
18 to 11 decreses by 7
The sequence is linear!
39 is the 0th term and our numbers are decreasing by 7 each term.
t = -7n +39 is our equation
a) -7(6) + 39
-49 + 39
3
b) to find nth term replace the term with n in this equation:
t = -7n +39
c) -332 = -7n +39
Subtract 39 from both sides!
-361 = -7n
Divide both sides by -7!
n = 51.571
The 6th term will be equal to -3, the nth term of the sequence will be equal to -7n + 39 and the term will be the 53rd term.
What is the arithmetic sequence?Two definitions are given for an arithmetic sequence. A "series where the variances in between every two succeeding terms are the same" is what it is.
Each term in an algebraic expression is created by multiplying its previous term by a specified integer (either positive, negative, or zero).
As per the given information in the question,
The sequence is given as:
32, 25, 18, 11, 4
(a)
a = 32
d = 25 - 32 = -7
n = 6
Then,
a₆ = a + (n - 1)d
a₆ = 32 + (6 - 1)(-7)
= 32 - 35
= -3
(b)
Find the nth term.
[tex]a_n[/tex] = a + (n - 1)d
= 32 + (n - 1)(-7)
= 32 -7n + 7
[tex]a_n[/tex] = -7n + 39
(c)
-332 = 32 + (n - 1)(-7)
-332 - 32 -7 = -7n
n = -371/-7
n = 53rd term.
To know more about the arithmetic sequence:
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Shalah mowed 12 lawns in 3 hours. What is her RATE? *
help me plz
Answer: I think the answer is 4 because usually when you find the rate of something it means you divided the two numbers or however many numbers you have... So, 12 divided by 3 is 4... So, 4 hours for each lawn she mows... or something like that... So, 4 lawns per hour...
Final answer is 4 lawns per hour... If this isn't the correct answer i am very sorry... Stay safe and have a great weekend!!! :D
Answer:
4 lawns per hour
Step-by-step explanation:
4 lawns per hour or 1 lawn per 15 mins.
12/3 is the unit rate so 4/1.
Hope this helps plz hit the crown :D
4k - (2k - 7)
Helppppp
Answer:
2k+7
Step-by-step explanation:
4k - 1 ( 2k - 7 )
4k-2k +7
Help with Geometry ,please
Answer:look at the angle bro and you got the angle just look at it good enough
Step-by-step explanation:
WILL GIVE BRAINLYEST!!!!!!! PLEASE HELP!!!!
Find the slope of the line drawn on the graph. If your answer is a fraction, leave in simplified fraction form.
Answer: The slope would be 2/5.
Step-by-step explanation: To find the slope, it's rise divided by run. The 2 points on this graph are (-2,-1) and (3,1). So basically, change in y value, divided by the change in x value.
what is the difference b/w matrix and vector
Answer:
Matrix is array of number while vector is a list of numbers
Answer:
a vector is a form of a matrix having one row or one column or just say a "vector" is a list of values, a "matrix" is a table (or list of lists.................
Step-by-step explanation:
For x3 + 2x2 + 7x4 - 3, which of the following statements is true?
O
A. The degree of the polynomial is 3.
O
B. Written in standard form, the polynomial is 7x4 + x3 + 2x2 – 3.
C. The polynomial is a binomial.
O D. The leading coefficient is 1.
The correct statement is written in standard form, the polynomial is 7x^4 + x^3 + 2x^2 – 3
What is a polynomial?
A polynomial function is a mathematical expression that is consists of different types of variables such as non-zero coefficients, positive exponents, and constants.
Types of polynomials1. Linear polynomial function: it is made up of a single variable raised to the power of 1. An example is y + 2
2. Quadratic polynomial function - it has a single variable and it is raised to the power of 2. An example is x² + 10x + 25
3. Cubic polynomial function: it has a single variable raised to the power of 3. An example is 5y³ + y²
4. Binominal function: this is a function that contains only two terms. An example is t³ - 400
To learn more about polynomials, please check: https://brainly.com/question/17822016
lol wanna help me im gunna cry
Answer:
no thanks
Step-by-step explanation:
i don't wanna help u nerd
Answer:
potato
yes potato
Ricky draws 24 cartoon Characters
every 3 minutes. Leo draws 28 cartoon
Characters every 4 minutes. Who draws
at a faster rate?
Answer:
Ricky
Step-by-step explanation:
24 divided by 3 equals 8 drawings per minute
28 divided by 4 equals 7 drawings per minute
Answer:
Ricky
Step-by-step explanation:
One way to solve this is finding out how many characters they draw per minute. In order to find this, you must divide the amount of cartoon characters by the time. For example, 24 divided by 3 is 8 and 28 divided by 4 is 7. Ricky draws 8 per min and Leo draws 7 per min. Therefore, Ricky draws at a faster rate. Hope this helps! :)
Pick an dinner for every single day?
Answer:
The last one please.
2²ˣ = 6ˣ⁻³
How would I convert this to logarithmic form, then solve in log M / log N format?
6 = 2 • 3, so
6ˣ⁻³ = 2ˣ⁻³ • 3ˣ⁻³
Then in
2²ˣ = 6ˣ⁻³
we would have
2²ˣ = 2ˣ⁻³ • 3ˣ⁻³
2²ˣ / 2ˣ⁻³ = 3ˣ⁻³
2²ˣ⁻ˣ⁺³ = 3ˣ⁻³
2ˣ⁺³ = 3ˣ⁻³
Now take the logarithm of both sides. The base you choose doesn't matter.
log(2ˣ⁺³) = log(3ˣ⁻³)
Recall that log(aⁿ) = n log(a), so that the equation reduces to
(x + 3) log(2) = (x - 3) log(3)
Solve for x :
log(2) x + 3 log(2) = log(3) x - 3 log(3)
(log(2) - log(3)) x = - 3 log(2) - 3 log(3)
Recall that log(a) - log(b) = log(a/b), and log(a) + log(b) = log(ab), so that
log(2) - log(3) = log(2/3)
- 3 log(2) - 3 log(3) = - 3 (log(2) + log(3)) = - 3 log(6)
So, we get
log(2/3) x = - 3 log(6)
x = -3 log(6) / log(2/3)
As I mentioned, the base of the logarithm doesn't matter, x will always have the same value of about 13.257.
PLS IT'S DUE!!
The longer leg of a 30⁰-60⁰-90⁰ triangle is 5√3 . Find the length of the hypotenuse.
explain how you got it.
Answer:
The answer is 10
Step-by-step explanation:
The longer leg of this triangle is √3 times longer than the shorter leg. Since the longer leg is 5√3, then the shorter leg will be 5. The hypotenuse is twice the size of the shorter leg, so 5*2 is 10.
What’s the answer I just need a quick answer and my teacher thinks I’m wrong
Answer:
58.5
Step-by-step explanation:
9 x 13 = 117
117 divided by 2 = 58.5
The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the recursive formula to represent the situation.
Answer:
an = an – 1 + 14; a1 = 9
Step-by-step explanation:
Answer:
Step-by-step explanation:
pizza represent p
$14=1p
$9=9*1/4=9/4
Graph the line.
y=-2x-3
please please hurry! 15 points
Answer:
you want to put your first pint at negative 3 on the Y axis. and then you want to go down 2 and right 1 to crest your slope.
Si nos situamos a 120 metros de distancia de un cohete, la vista hacia al extremo superior del mismo recorre un total de 130 metros. ¿Cuál es la altura total del cohete?
Answer:
creo que son 250
Step-by-step explanation:
someone knows what number multiplied twice by the same can give me results 1109 helpppp! Plis
Answer: Hey! no need to fret ok so your trying to find what multiplied by itself would get 1109. Make an algebra equation and solve for x:
x • x = 1109
x ≈ 33.302
Step-by-step explanation:Hoped I helped! Have a great day and put this on brainliest please. Thank you!
√5+√3 /√5-√3 + root 5 + root 3 upon root 5 minus root 3 + root 5 minus root 3 upon root 5 + root 3
Answer:
√5+√3 /√5-√3 + root 5 + root 3 upon root 5 minus root 3 + root 5 minus root 3 upon root 5 + root 3
Step-by-step explanation:
√5+√3 /√5-√3 + root 5 + root 3 upon root 5 minus root 3 + root 5 minus root 3 upon root 5 + root 3
What is the solution of 9x – 8 = 34x – 12?
Answer:
Step-by-step explanation:
Let
V
be the number of vertices of a polyhedron,
F
the number of faces of that polyhedron, and
E
be the number of edges. The quantity
χ
=
V
−
E
+
F
is called the Euler characteristic (of a polyhedron). In the case of convex polyhedra,
χ
=
2
.
Consider, for example, a tetrahedron (which is the simplest solid). It has 4 faces,
1
2
(
4
)
(
3
)
=
6
edges, and
1
3
(
4
)
(
3
)
=
4
vertices. Thus we have
V
−
E
+
F
=
4
−
6
+
4
=
2
.
Euler's formula holds for all Platonic solids (tetrahedron, cube, octahedron, dodecahedron, and icosahedron). Since a cube and an octahedron are dual polyhedra (each is formed by connecting the centers of the faces of the other), their
V
and
F
values are equal to the
F
an
V
values of the other. (The same is true for the dodecahedron and icosahedron).
Hello!!!!! Could someone please explain to me in a simple manner what the slope intercept form is as well as what the point slope form is? Are they the same thing? What does form mean? Thank you soooo much in advance!!!
Answer:
Step-by-step explanation:
They're both ways of expressing the equation of a line. Depending on the information you're given, it's easier to use one or the other. Like if you're given the slope and y intercept, it might be easier to use slope intercept equation. If you're given 2 points on a line, it might be easier to calculate the slope between them and then use the pointslope equation using one of the two points given to find the euqation of the line. Let me know if there's more I need to clarify
7) A different stock loses half of its value every 2 months. If the original price was $128,
how much is it worth after 14 months.
X-2
——=5
3
I am supposed to solve for x but I have no clue how
Answer:
4
Step-by-step explanation:
Answer:
x = 17
Step-by-step explanation:
Nice set up. It's very clear.
Multiply both sides by 3
3(x-2)
===== = 5 *3
3
Cancel the 3 on the left. Combine the right.
x - 2 = 15
Add 2
x - 2 + 2 = 15 + 2
x = 17
==============
(17 - 2) / 3
15/3
5
The right hand side is also 5
CAN SOMEONE HELP ME ! Please and thank you.
A car dealership likes to have 4 blue cars on the lot for every 3 white cars. At this rate, how many white cars will be on the lot when there are 16 blue cars?
Answer:
12 white cars
Step-by-step explanation:
Our ratio is 4:3
16:?
We can determine white cars by dividing 16/4 to find how many more cars we have than our original ratio.
16/4 = 4
3 x 4 = 12
16:12 = 4:3
Answer:
Step-by-step explanation:
15
Sonia bought $25 concert tickets online, and paid a total of $269. To purchase the tickets there was a service fee of $17. How many tickets did she buy? Make sure to write an equation!
Answer: This question is confusing because I can't come up with a whole answer because I don't see a way to get to it no matter how many different ways I try to solve it ;-; The closest I got was $267 with 10 tickets and the fee
Step-by-step explanation:
How do I graph this?
Answer:
So, in order to solve this, you need to know slope. Slope is equal to rise (up/down) over run (left/right). The number at the end, which in this case is 2, is the y-intercept. So, first, graph a point on the y-axis, which is 2. Next, you can place any other point on the line, as long as it follows your slope, which is 3/5. If you need a better explanation, just graph (0, 2) on the y-axis and also graph the point (3, 5).
Have a good one,
Philip
BRAINLIEST IS ALWAYS APPRECIATED! <3
what is the slope- intercept form of 3x-y=8
Answer:
[tex]y=3x-8[/tex]
Step-by-step explanation:
slope intercept form is [tex]y=mx+b[/tex] so just get the equation to look like this[tex]3x-y=8\\3x-(3x)-y=8-(3x)\\-y=-3x+8\\y=3x-8[/tex]Find the slope of the line passing through the points (-5,3) and (-5,-7)
Answer:
The slope is Undefined.
Step-by-step explanation:
Select the sequences that are geometric.
18, 36, 54, 72,...
4.1, 8.2, 16.4, 32.8,...
answer:
Both sequences are geometric
Step-by-step explanation:
because both have common differences of 2 times
Answer:
4.1, 8.2, 16.4, 32.8,... is a geometric sequence.
Step-by-step explanation:
Given the first sequence
18, 36, 54, 72,...
we know that the geometric sequence is the sequence that has the same common ratio 'r' (constant ratio).
Computing the ratios of all the adjacent terms:
[tex]\frac{36}{18}=2,\:\quad \frac{54}{36}=1.5,\:\quad \frac{72}{54}=1.33333\dots[/tex]
As the ratio is not constant.
Hence, 18, 36, 54, 72,... is NOT the geometric sequence.
Given the second sequence
4.1, 8.2, 16.4, 32.8,...
we know that the geometric sequence is the sequence that has the same common ratio 'r' (constant ratio).
Computing the ratios of all the adjacent terms:
[tex]\frac{8.2}{4.1}=2,\:\quad \frac{16.4}{8.2}=2,\:\quad \frac{32.8}{16.4}=2[/tex]
As the ratio of all the adjacent terms is the same (constant ratio).
Hence, 4.1, 8.2, 16.4, 32.8,... is a geometric sequence.
Therefore, 4.1, 8.2, 16.4, 32.8,... is a geometric sequence.
The NBA regulations require the basketball court to be 132 feet long how many meters is the length of the court
Answer:
40.2336 meters
Step-by-step explanation:
Answer:
40.2336 meters
Step-by-step explanation:
Find the 17th term of the arithmetic sequence -12, -8, -4, 0, ...
Answer:
130
Step-by-step explanation:
happy to help :0 have a good day sir
Answer:
52
Step-by-step explanation:
the sequence is increasing by 4
hence, the nth term in n = 4(n) -16
hence, 17th term = 4(17) -16 = 52
Find the 74 thterm of -19, -14, -9, -4, ..
-0.9 -0.4. Make sense at all???