Answer:
The 45th term is equal to -209.
Step-by-step explanation:
I got stuck on this question for six attempts. Therefore I started trying other methods. I started with a10=1 and then subtracted 6 to get a11=-5. I continued this process until I reached a45=-209
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The 45th term for the arithmetic sequence is -209.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₙ = a₁ + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
Given that the 10th term of the arithmetic series is 1, while the common difference of the arithmetic series is -6. Therefore, 10th term of the series can also be written as,
aₙ = a₁+(n-1)d
1 = a₁+(10-1)(-6)
1 = a₁ + (9)(-6)
1 = a₁ - 54
a₁ = 55
Now, the 45th term for the arithmetic sequence is,
aₙ = a₁ + (n-1)d
a₄₅ = 55 + (45-1)(-6)
a₄₅ = 55 - 264
a₄₅ = -209
Hence, the 45th term for the arithmetic sequence is -209.
Learn more about Arithmetic Sequence here:
https://brainly.com/question/3702506
#SPJ2
Which equation describes the same line as y- 6 = -4(x + 1)?
A. y= -4x + 3
B. y=-4x+7
C. y=-4x+2
D. y=-4x-4
Answer:
C: y = -4x + 2
Step-by-step explanation:
y - 6 = -4 ( x + 1 )
y - 6 = -4x - 4
y = -4x + 2
For which value of a are the graphs of 4 = 3x + 6y and ax – 8y = 12 parallel?
a = -4
O a =
= - 1 / 1
a = 1/2
O
a = 2
Answer: a=-4
Step-by-step explanation:
What is the exact solution to the equation 4^5x=3^(x-2)
list the steps to get the answer
Answer: x = -0.377
Step-by-step explanation:
We have the equation:
4^(5*x) = 3^(x - 2)
Now we can use the fact that:
Ln(A^x) = x*Ln(A)
Then we can apply Ln(.) to both sides of the equation to get:
Ln(4^(5*x)) = Ln(3^(x - 2))
(5*x)*Ln(4) = (x - 2)*Ln(3)
(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)
x*(5*Ln(4) - Ln(3)) = -2*Ln(3)
x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377
Write 73.654 correct to 1 decimal place.
Simplify the below question.
Please send the answer with correct explanation.
Answer:
48t^4
Step-by-step explanation:
First you simplify and cross out all the uneeded characters because this is a division equation
Then whatever is left you calculate it
Answer:
[tex]48t^{4}[/tex]
Step-by-step explanation:
[tex]\frac{3^{3}*8t^{3}*32}{9t^{-2}*16t}=\frac{3^{3}*8*32*t^{3}}{9*16*t^{-2+1}}\\\\=\frac{3*1*32*t^{3}}{1*2*t^{-1}}\\\\= \frac{3*16*t^{3}}{t^{-1}}\\\\= 48t^{3}*t^{1}\\\\= 48*t^{3+1}\\\\=48t^{4}[/tex]
HINT:
[tex]a^{m}*a^{n}=a^{m+n}\\\\\\\frac{1}{a^{-m}}=a^{m}[/tex]
A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor
tickets for $15 each and balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.
1. How much money will they collect for selling x floor tickets?
2. How much money will they collect for selling y balcony tickets?
Answer:
We know that x is the number of floor tickets they sell, and each one costs $15, then the amount of money they will get by those sells is x times $15, this is:
x*$15.
And y is the number of balcony tickets they sold, each one of these costs $12, then the total amount of money made in those tickets is:
y*$12.
Then the total amount of money that the band made is:
x*$15 + y*$12
And they want to make, at least, $3,000, then we will have the inequality:
x*$15 + y*$12 ≥ $3000
That can´t really be solved, because we have two variables and only one inequality, but this represents the given situation.
Chuck needs to drive 400 miles on the highway.
Gas costs $1.50 per gallon. How much will it cost for
gas to drive his truck 400 miles?
Answer:
$600
Step-by-step explanation:
400*1.5=600
Can Someone plz help me i will mark brainliest
Answer:
a
Step-by-step explanation:
if u multiply by -5 the 5s will cancel out
Answer:
c
Step-by-step explanation:
sorry if it wrong
y=2x−1
5x−4y=1
Is (1,1) a solution of system
A.Yes
B.No
Evaluate the function?
Answer:
187
Step-by-step explanation:
fill in (-9) where it says x, so 2(-9)^2 -5(-9) -20, which gives 187
Help me to do this problem System by sustitution.
4) y = -3x - 7
-6x - 2y = 14
Answer:
The system of equations has infinite solutions
Step-by-step explanation:
∵ y = -3x - 7 ⇒ (1)
∵ -6x - 2y = 14 ⇒ (2)
→ Substitute y in equation (2) by equation (1)
∴ -6x - 2(-3x - 7) = 14
→ Simplify the left side
∵ -6x - 2(-3x) - 2(-7) = 14
∴ -6x + 6x + 14 = 14
→ Add the like terms in the left side
∵ (-6x + 6x) + 14 = 14
∴ 0 + 14 = 14
∴ 14 = 14
∵ The variable is disappeared and the two sides of the equation equal
∴ The equation has many solutions
→ That means x and y can be any numbers
∴ The system of equations has infinite solutions
Wyatt bought 12 souvenirs during 3 days of vacation. How many days will Wyatt have to spend on vacation before he will have bought a total of 20 souvenirs? Solve using unit rates
Answer: 5 days
Step-by-step explanation:
12/3=4 souvenirs a day
20/4=5 days
Answer:
Assuming Wyatt buys the same number of souvenirs per day (4), it will take him 5 days to buy 20.
Step-by-step explanation:
12/3 = 4 souvenirs/days
20/4 = 5 days
Solve for x. Each figure is a trapezoid
please help!! i’ll mark brainliest!!!!
Answer:
x^2+11x+30
Step-by-step explanation:
How can i prove this? Please someone help i get 100points
Typing.................
Answer:
I can look it up, what's this calle?
Step-by-step explanation:
15 POINTS PLEASE HELP!
Answer:
buddy...u weren't able to attach it properly...
Step-by-step explanation:
u may type it out in the comments...
there are 40 boys and 20 girls at the party 35% from boys wearing glasses and 60% girls wearing how many people wearing glasses glasses
Answer:
12 g 14 b
Step-by-step explanation:
.
(3a-2) (3a-2) kindly explain me the steps plus give me solution
Answer:
9a to the power 2 +4 is the answer
Step-by-step explanation:
multiple 3a x 3a u wud get 9a to the power 2
-2 x -2 u wud get = 4
then combine the two and write the answer
Answer:
9a² - 12a + 4
Step-by-step explanation:
Given
(3a - 2)(3a - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
3a(3a - 2) - 2(3a - 2) ← distribute both parenthesis
= 9a² - 6a - 6a + 4 ← collect like terms
= 9a² - 12a + 4
Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 6 m and width 2 m. She decides on a scale of 1 to 40.
Draw and label the dimensions of a scale drawing of Mai’s kitchen, using a scale of 1 to 40. HEEEEEEEELPPPP
Answer:
Length of scale = 15 cm
Width of scale = 5 cm
Step-by-step explanation:
Dimensions of the kitchen of Mai are given as:
Length of kitchen = 6 m
Width of kitchen = 2 m
Scale to be used = 1 to 40
To find:
The drawing with labeling and dimensions of the scale drawing.
Solution:
First of all, let us understand about the concept of scaling.
Scaling is a method to represent big structures on paper.
For this purpose, we decide a scaling factor and draw the big structures on paper by scaling down (making it small) by using a scaling factor.
Here, the scale factor used is 1 to 40.
i.e. 1 unit on scale is equivalent to 40 units on the actual kitchen.
40 units of kitchen = 1 unit of scale
1 unit of kitchen = [tex]\frac{1}{40}[/tex] units of scale
6 m of kitchen = [tex]\frac{1}{40}\times 6\ m = \frac{600}{40}\ cm = 15\ cm[/tex]
Length of scale = 15 cm
40 units of kitchen = 1 unit of scale
1 unit of kitchen = [tex]\frac{1}{40}[/tex] units of scale
2 m of kitchen = [tex]\frac{1}{40}\times 2\ m = \frac{200}{40}\ cm = 5\ cm[/tex]
Width of scale = 5 cm
Please refer to the attached image as well for representation of given scale.
How many triangles in a 15 sides polygon ?
PLEASE HELP!! An alien blob started with a mass of 4 kg and is doubling in size every day. How large will the blob be after 2 weeks?
Answer:
56
Step-by-step explanation:
Variable on both sides
John will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.96 and costs an additional $0.12 per mile driven.
The second plan has an initial fee of $47.96 and costs an additional $0.16 per mile driven. How many miles would John need to drive for the two plans to cost
the same?
II miles
Х
?
So for starts we can go 0.16 x 63 miles = 10.04 so the total for the second plan would be $58 with driving 63 miles. and for the first plan would be 0.12 divided by 3 would be 0.04 so we add them together and we get $58 with driving a 3rd of a mile.
Overall:
1st plan: $58 with driving a 3rd of a mile.
2nd plan: $58 with driving 63 miles.
A student raises her grade from a 75 to a 90 what is the percent of increas in the students grade average
a)20%
b)16.7%
c)8.3%
d)15%
Answer:
b
Step-by-step explanation:
I got a 100 on this test so try and do well
square root of 64 with an exponent of 3?
Answer:
512
Step-by-step explanation:
square root of 64 = 8
8 x 8 x 8 = 512
if you help me with this , you're a life saver
Step-by-step explanation:
sin0° = cos90°
sin30° = cos60°
sin45° = cos45°
sin60° = cos30°
sin90° = cos0°
2 Hiroaki says that a constant of proportionality must be a whole number and
cannot be a fraction or a decimal. Explain why Hiroaki is incorrect.
Given:
Hiroaki says that a constant of proportionality must be a whole number and cannot be a fraction or a decimal.
To find:
The explanation, why Hiroaki is incorrect.
Solution:
If y is directly proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
[tex]\dfrac{y}{x}=k[/tex]
where, k is the constant of proportionality.
It means, the constant of proportionality is the ratio of two directly proportional variables.
So, constant of proportionality can be any real.
Thus, the statement that a constant of proportionality must be a whole number and cannot be a fraction or a decimal is incorrect.
Hence, Hiroaki is incorrect because constant of proportionality can be any real.
.In the coordinate x,y the point x is calledorigin
abscissa
line
y-axis
Answer:
The x coordinate is known as abscissa (B)Step-by-step Explanation:
In a Cartesian plane, we learn many such terms which represent a point, or a line, or cooridnates of some points etc[tex].[/tex]
Such terms are:
Origin (Intersection of x axis and y-axis.)x - axis (Horizontal line)y - axis (Vertical line)abscisaa (x -coordinate)ordinate (y - coordinate)1) Solve the equation 7x+5 = 7x-3
Answer: no solutions
7x + 5 = 7x - 3
5 = -3 [ subtract 7x from both sides ]
Since we end up with 5 = -3, a clearly false equation, we conclude that the original equation has no solutions.
i hope this helps! :D
Answer:
empty set
Step-by-step explanation:
Let's solve your equation step-by-step:
7x+5=7x−3
Step 1: Subtract 7x from both sides.
7x+5−7x=7x−3−7x
5=−3
Step 2: Subtract 5 from both sides.
5−5=−3−5
0=−8
So that There is no solution.( empty set .∅)
please make as brilliant.
The graph shows the parent function f(x)=0.75x.
answer:
it should be the graph on the top right!
The graph of the parent function f(x) = 0.75ˣ + 1 is shown in figure.
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The parent function is,
⇒ f(x) = 0.75ˣ + 1
Now,
Since, The parent function is,
⇒ f(x) = 0.75ˣ + 1
Hence, The points on the function are (0, 2) and (1, 1.75).
Thus, The graph of the parent function is given in option 2.
Learn more about the function visit:
https://brainly.com/question/13804741
#SPJ2
-4(x + 3) <-2 – 2x?
What’s the answer on the number line for this equation
Answer:
[tex]x>-5[/tex]
The solution graph is also attached below. On the solution graph, the value will be:
Step-by-step explanation:
Given the expression
[tex]-4\left(x\:+\:3\right)\:<\:-2\:-\:2x[/tex]
Expanding
[tex]-4x-12<-2-2x[/tex]
Add 12 to both sides
[tex]-4x-12+12<-2-2x+12[/tex]
[tex]-4x<-2x+10[/tex]
Add 2x to both sides
[tex]-4x+2x<-2x+10+2x[/tex]
[tex]-2x<10[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-2x\right)\left(-1\right)>10\left(-1\right)[/tex]
[tex]2x>-10[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}>\frac{-10}{2}[/tex]
[tex]x>-5[/tex]
The solution graph is also attached below. On the solution graph, the value will be:
[tex]x>-5[/tex]