Answer:
[tex]a_n=-1+(n-1)(-2)[/tex]
Step-by-step explanation:
The arithmetic sequence formula looks like this:
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.
Each consecutive term is decreased by 2 over the last, so d = 2. The first term is -1 of course, so you can write this equation:
[tex]a_n=-1+(n-1)(-2)[/tex]
Just to confirm:
[tex]a_n=-1+(n-1)(-2)\\a_3=-1+(2)(-2)\\a_3=-1-4\\a_3=-5[/tex]
And it works, -5 is the 3rd term in the sequence.
Answer:
[tex]a_{n}[/tex] = 1 - 2n
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 1 and d = a₂ - a₁ = - 3 - (- 1) = - 3 + 1 = - 2 , then
[tex]a_{n}[/tex] = - 1 - 2(n - 1) = - 1 - 2n + 2 = - 2n + 1 = 1 - 2n
pls help me right now!
and pls show your solution properly
I'm not good in math ok bye
A) Atra = 0.5 ( 7 + 3 ) x 3 = 15 cm^2
B) Atri1 = 1/2 x 3 x 2 = 3 cm^2
Atri2 = 1/2 x 3 x 2 = 3 cm^2
Arec = 3 x 3 = 9 cm^2
Atra = Atri1 + Atri2 + Arec = 3 + 3 + 9 = 15 cm^2
ok done. Thank to me :>
Nate biked 54 miles in 4 1/2 hours. What was Nate’s average speed in miles per hour.
Answer:
12mph
Step-by-step explanation:
You must divide the 54 miles by the 4 1/2 hours which will give you 12mph
Solve the system of linear equations using matrices.
2x+y+z=3
-x+y-6z=-24
x+6y+6z=-4
The solution is ____ (Type an exact answer in simplified form.)
Answer:
(x, y, z) = (2, -4, 3)
Step-by-step explanation:
It is convenient to let an appropriate calculator reduce the augmented matrix to reduced row-echelon form. The rightmost column in that form is the solution vector [x, y, z].
__
If you want to solve this by hand, you can perform the following row operations to reduce the augmented matrix as shown in the attachment.
r1 ← r2 +r3; r2 ← (r2 +r3)/7 . . . . use this matrix for the next row replacement
r3 ← (r3 -r1 -4·r2)/11 . . . . . . . . . . use this matrix for the next row replacement
r1 ← r1 -2·r2 +5·r3
__
r1, r2, r3 refer to rows 1, 2, 3, respectively. The indicated multiplication and division are scalar operations, operating on each individual term in the row.
_____
Additional comment
Most graphing calculators have matrix solving functions. Apps are available for phone and tablet that will do this, and there are online websites that will reduce an augmented matrix as well.
Children each received 1/8 of a chocolate bar. How many squares did each child receive if the chocolate had 16 squares? How many children were there?
Step-by-step explanation:
If the chocolated had 16 squares.
there we're only two children was there.
You have 2.567 grams of water. What is the volume of water(use correct units)
Answer:
16
Step-by-step explanation:
16 grams
Find the equation of the line shown below
Y=mx+c
Answer:
y = -1/4x + 2
Step-by-step explanation:
1. First you find m. Because the line is slanting downwards, you know it is negative. Then you can find the number by looking at the rise over run (rise/run). We can go up 1 (rise) and then to the side 4 (run). We go to the right side 4 because that is where the line intersects with up 1. So because the rise goes over the run, the number would be 1/4. But remember that it is negative so m = -1/4
2. Now we have to find c. For this you just have to go up or down the y-axis until you find the point where it intersects with the line. On this graph it intersects on positive 2. So c = + 2
I am good at reading not math I need help please
Step-by-step explanation:
the answer is attached
I Hope This HelpHow is sin 10° = cos 80°??
Check the picture below.
Answer:
See below.
Step-by-step explanation:
Location is Q1
Angle is less than 90
cos Ф = sin(90° - Ф)
cos 80° = sin (90° - 80°)
cos 80° = sin 10° set your calculator in degree mode
Check
cos 80° = 0.1736481777
sin 10° = 0.1736481777
thanks in advance big boys
Answer:
The answer is sides are congruent by the reflexive property
Step-by-step explanation:
The answer is sides are congruent by the reflexive property because the two red lines on the triangles represnt that they are congruent. The reason teh fourth one can be a correct answer, but it is not, is because the angles are not vertical. The angles would hav eto be in teh middle of the triangle and congruent, to be right. So it is a reflexive property.
Sorry for any gramatical or spelling mistakes!
which one of the congruency statements are true?
Answer:
line segment BC=line segment XY
Step-by-step explanation:
The last choice :)
Solve for the value of p.
(6p-2)
न
(3p-7)|
Answer:
The sum of angles on a straight line is 180 degrees.
Therefore,
[tex](6p-2)+(3p-7)=180[/tex]
[tex]6p-2+3p-7=180[/tex]
[tex]9p-9=180[/tex]
[tex]9p=189[/tex]
[tex]p=21[/tex]
Wind forms desert pavement through ___.
A. sublimation
B. random acts of kindness
C. deposition
D. erosion
Answer:
D. erosion
Step-by-step explanation:
The wind is a stronger erosional force in arid regions than it is in humid regions because winds are stronger. In humid areas, water and vegetation bind the soil so it is harder to pick up. In arid regions, small particles are selectively picked up and transported. As they are removed, the ground surface gets lower and rockier, causing deflation. What is left is desert pavement, a surface covered by gravel-sized particles that are not easily moved by wind.
You make $85,000 per year and your company matches 50 cents for every dollar you deposit into your 401k plan, up to %5 of your salary. If you contribute $300
every month to your 401k, what will your company contribute each month?
Answer:
$150 each month
Step-by-step explanation:
divide 300 in half because they contribute 50¢ per dollar
What the answer plz
Some anybody
-3, -8, -13, -18,.. Find the nth term
Answer:
The nth term of the sequence is -5n + 2 (or 2 - 5n)
Answer:
[tex]a_{n}[/tex] = - 5n + 2
Step-by-step explanation:
There is a common difference between consecutive terms , that is
- 13 - (- 8) = - 18 - (- 13) = - 5
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = - 5 , then
[tex]a_{n}[/tex] = - 3 - 5(n - 1) = - 3 - 5n + 5 = - 5n + 2
When a common denominator is found for the fractions 2/5 and 5/6, what will the equivalent fractions be
The equivalent fractions will be 12/30 and 25/30
Given the fraction 2/5 and 5/6
Their respective denominator are 5 and 6To make them the same, we will multiply the value of 5 by 6 and the value of 6 by 5
For the deniminator of 5, the equivalent denominator is (5*6) = 30
For the denominator of 6, the equivalent denominator is (6*5) = 30
Equivalent fraction for 2/5 = 2/5 * 6/6
Equivalent fraction of 2/5 = 12/30Equivalent fraction for 5/6 = 5/6 * 5/5
Equivalent fraction of 2/5 = 25/30Hence the equivalent fractions will be 12/30 and 25/30
Learn more on fractions here: https://brainly.com/question/17743912
Lewis is rolling a 10-sided die 250 times. Each side of the die is labeled with a number 1 – 10. Based on the theoretical probability, how many times would Lewis be expected to roll a multiple of 3?
A. 25
B. 30
C. 75
D. 83
Answer: So the multiplies of 3 on a ten sided die are 3, 6, and 9. theoretically each side should be rolled 25 times (250/10=25). Lewis would be expected to roll a multiple of three 75 times
Step-by-step explanation: Please mark brainliest
Answer:
75 -- i think
Step-by-step explanation:
let me know if im right.
find the area of the shaded region
Answer:
Step-by-step explanation:
2 rectangles 2.5 x 3.5 and 2 rectangles 2 x 3.5
A = 2(2.5)(3.5) + 2(2.0)(3.5)
A = 7(2.5 + 2.0)
A = 7(4.5)
A = 31.5 cm²
It is impossible to solve this mixture problem: How many gallons of a 10% solution would need to be
added to a 20% solution to obtain a 30% solution.
True or False?
Answer:
false
Step-by-step explanation:
How many gallons of a 10% solution. Would need to be added to a 20% solution to obtain 50 gallons of a 30% solution?
2.How many gallons of milk containing 4% fat is mixed with milk containg 1% fat to obtain a 15 gallon mixture containing 2% fat?
Skajekjejejwjejekwjkekekekejeje
Answer:
Skajekjejejwjejekwjkekekekejeje!!!
Step-by-step explanation:
Answer: lollllll , ?????
Step-by-step explanation:
WILL GIVE BRAINIEST IF CORRECT
Which of the following doesn't belong? Explain.
Step-by-step explanation:
a. 5x² - 80
b. 5(x² + 4x - 4x -16)
5(x² - 16)
5x² - 80
c. 5x² - 20x + 20x - 80
5x² - 80
d. 5x² - 11
D doesn't belong because 5x² - 11 is not the answer to A, B, or C.
if i get 45/50 in a test how much percentage is it
Answer:
the answer to your questions is 90%
trevin puts 8 gallon of gas
Answer:
good for trevin?
Step-by-step explanation:
we'll need more to go on haha
Finding the limit on Mathematica. How do I type this in Mathematica?
See the documentation for the Limit symbol for more info.
i. Limit[(t^3 + 3t^2 - 12t + 4)/(t^3 - 4t), t -> 2]
ii. For a one-sided limit, is the Direction option.
Limit[(y + 6)/(y^2 - 36), y -> 6, Direction -> -1]
The option value -1 essentially means we treat y as if it's greater than 6, so its value has to decrease in order to approach 6.
Translate the sentence to an equation. Then solve and check.
3/4 of a number is equal to 36.
The equation is [?] . (Type an equation using x as the variable.)
The solution is x= [?] . (Simplify your answer.)
Suppose that x is that number thus:
[tex] \frac{3}{4} x = 36 \\ [/tex]
Multiply both sides by 4
[tex]4 \times \frac{3}{4} x = 4 \times 36 \\ [/tex]
[tex]3x = 144[/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{144}{3} \\ [/tex]
[tex]x = 48[/tex]
There u go...
Have a great day ❤
Step-by-step explanation:
3/4 of x=36
the equation is algebra
3/4×x=36
3/4x=36
36×4/3
=28
so hard! please help!
Answer:
please take a closer picture. :)
Step-by-step explanation:
what is the best estimate of 97/7 and 1 3/4
Answer:
next question nexy question
how long is the shadow the tree casts?
Anwser: 12 feet long
Why are integers rational numbers
Answer:
Because integers don't have decimals. An irrational number has a forever repeating decimal (that is random).
Step-by-step explanation:
Evaluate the expression for y=1.4, y=5, y=6.4
y ÷ 4
the expression y ÷ 4 is equal to ____ for y = 1.4.
Answer:
I think it is y=5...........