A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.
Which option correctly represents the sequence described?
A -3, 11, -45, 179, ...
B {-3, -13, -53, -213, ...}
C. {-3, 11, -45, 179, ...}
D -3, -13, -53, -213,...
Answers
Answer:
C
Step-by-step explanation:
[tex]a_{1}=-3\\a_{2}=(-3)(-4)-1=12-1=11\\a_{3}=11(-4)-1=-44-1=-45\\a_{4}=-45(-4)-1=180-1=179\\................................................\\[/tex]
Answer: Choice A) -3, 11, -45, 179, ...
=====================================================
Explanation:
1st term = -3
new term = -4*(previous term) - 1
2nd term = -4*(1st term) - 1
2nd term = -4*(-3) - 1
2nd term = 12 - 1
2nd term = 11
The answer is between choice A and C since both involve "-3, 11" as the first two terms in that order. The only difference between A and C are the outer surrounding curly braces. These braces tell the reader that we have a set of numbers.
When it comes to a set, the order does not matter. Something like {1,2,3} is identical to {3,2,1}. Because of this, we rule out choice C.
On the other hand, order does matter in a sequence. The sequence 1,2,3 is different from 3,2,1.
Related Questions
x+3y=-5
4. Tyler and Han are trying to solve this system by substitution:
Tyler's first step is to isolate x in the first equation to get x = -5 - 3y. Han's first step
is to isolate 3y in the first equation to get 3y = -5 - X.
Show that both first steps can be used to solve the system and will yield the same
solution.
Answers
Answer:
Tyler's - (-5 - 3y) + (3y) = -5
Han's - (x) + (-5 - x) = -5
Step-by-step explanation:
If we are going to use Tyler's first step then we would use x = - 5 - 3y and substitute it in the original simultaneous equation x + 3y = -5, becoming (-5 - 3y) + (3y) = - 5 giving an exact answer of - 5.
But if we are using Han's first step then we will still substitute into the original simultaneous equation but in 3y. It would become
x + (-5 - x) = - 5 which also gives us an exact answer of -5.
Thus proving that both first steps show the same solution of -5.
Write an equation but do not solve to show how many letters, L, it would take for these two trophies to cost the same amount.
Answers
Answer:
12 + 0.40L = 14.75 + 0.25L
When using a ruler, where is the unit?
- The tick marks on the ruler.
- The space between the tick marks on the ruler.
-The numbers on the ruler.
Answers
Answer:
Is it The numbers on the ruler?
Step-by-step explanation:
Find the perimeter of a semicircle with a radius of 9 in.
Please explain and be accurate.
Answers
Answer:
9π + 18
Step-by-step explanation:
The circumference of a circle is pi times diameter, so 9 x 2 = 18 inches, which is the diameter. That will be the flat side of the semicircle. Then the circumference of the whole circle will be 18π. To find the curved side of the semi-circle, divide this by 2, so you get 9π. Therefore the answer is 9π + 18. The rough answer to 3 decimal places is 46.274
Find the Values of X and Y
X=
Y=
Answers
Answer:
14 and 12
Step-by-step explanation:
Fill in the blanks to solve this equation
Answers
Answer:
Step-by-step explanation:
p/18+7=9 what is the value of p
Answers
Answer:
p=36
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
p/18+7-(9)=0
Simplify p/18
(p/18+7)-9=0
7= 7/1= 7*18/18
p+7*18/18=p+126/18
(p+126)/18-9=0
9=9/1=9*18/18
(p+126)-(9*18)/18=p-36/18
p-36/18=0
p-36=0
p=36
Hope this helped :)
Is (x + 2) a factor of f(x) = x3 - 7x2 + 2X – 8? Use either the remainder theorem or the factor theorem to explain your reasoning.
Answers
[tex]\text{Given that,}\\\\f(x) = x^3 -7x^2 +2x -8\\\\\\\text{(x+2) will be a factor of f(x) if } f(-2) = 0 \\\\\\f(-2) = (-2)^3 -7(-2)^2 +2(-2) -8 = -48 \\\\\\\text{Since}~ f(-2) \neq 0, ~ (x +2) \text{is not a factor of f(x).}[/tex]
If answer is correct I will mark as brainliest.
which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?
5x^3+x^2-7x+28=0
A. Zero
B. Two or Zero
C. One
D. Three or one
Answers
Answer:
No positive real solutions.So the answer is zero.
Step-by-step explanation:
Find the median of the following data set. 0.48, 0.66, 1.02, 0.82, 0.7, 0.94 0.44 1.02 0.76
Answers
One-half of one-seventh of T equals one-third of one-fifth of 90. What is the value of T
Answers
Answer:
Step-by-step explanation:
This is the equation. Read it carefully.
1/2 * 1/7 T = 1/3 * 1/5 * 90 Reduce
(1/14) * T = 1/15 * 90
1/15 * 90 = 6
(1/14)*T = 6 Multiply both sides by 14
T = 14 * 6
T = 84
What is the perimeter of the triangle?
Answers
Answer:
L1 + L2 + L3 = perimeter
Step-by-step explanation:
You add each side of the triangle together.
Answer:
L1+L2+L3
Step-by-step explanation:
You add all the sides of the triangle to get the perimeter
HELLLLPPPP QUICKKLLLYYYY PLLZZZ VIEW THE QUESTION IN THE PHOTO ATTACHED!!!!
Answers
Answer:
[tex]\sqrt{18a}[/tex]
Step-by-step explanation:
To insert the factor, you must first find its squared value, in this case, 3's squared number is 9 so.....[tex]3=\sqrt{9}[/tex]
Now with square roots, they multiply like any other number
so you end up with[tex]\sqrt{9}*\sqrt{2a} \\\sqrt{9*2a}\\\\\sqrt{18a} <------ ANSWER[/tex]
Please leave a thanks!!!
PLS HELP NO LINKS
A cardboard box has the dimensions 2 ft, 1.5 ft, and 1.2 ft. What is the volume of the box?
A. 3.2 ft
B. 3.6 ft
C. 4.7 ft
D. 14.4ft
Answers
Answer:
3.6 cubic feet
Step-by-step explanation:
The volume of the box is simply the product of the 3 sides. so [tex]2ft \times 1.5ft \times 1.2 ft = 3.6 ft^3[/tex]
PLZ HELP ASAP I NEED A ANSWER!!
Which characteristics did early Japanese, Chinese, and Korean civilizations share?
They were friendly nations that shared culture and customs.
They were nations at war that shared a common religion.
They were neighboring countries that shared a common history.
They were countries with dissimilar culture and customs.
Answers
Answer:
When looking at the feudal system, which is a notable difference between Japanese Samurai and European Knights? Japanese Samurai were not considered part of the higher class. European Knights were not part of the military. Japanese Samurai were highly educated.
Step-by-step explanation:
hey yo how is this math
(5 + 16) = 7 + (4 x 7) =
Bidmass
Answers
Answer:
(5 + 16)=7 + (4 x 7)
Step by step - explanation:
Solve:
Add the numbers
(5 + 16)= 21.
(4 x 7) = 28 + 7 = 35.
So the result is 21 = 35.
Hope that helps. x
Answer:
Step-by-step explanation:
(5+16)=7+(4.7)
(21)=7+(4.7)
21=7+(4.7)
21=7+(28)
21=7+28
21=35
Answer: 21=35
A rectangle has a perimeter of 270cm and its length is 2½cm times its width find its width
Answers
Answer:
Width = 38.57cm
Step-by-step explanation:
Perimeter = 270cm
Let x be the width, so
Length = 2 1/2 x = 5x/2
Perimeter of Rectangle = 2(length + width)
270cm = 2(5x/2 + x)
270 = 5x + 2x
7x = 270
x = 38.571 cm
Therefore, the width is 38.57cm (rounded to 2nd decimal place)
Answer:
width = 38.6 cm (approx.)
Step-by-step explanation:
let the width be x cm, so that the length is 2.5x cm.
Perimeter = 2 (length + width)
2 (length + width) = 270 cm
or, 2 (2½x cm + x cm) = 270 cm
or, 3½x cm = 270/2 = 135 cm
or, x = 270/7 cm = 38.6 cm (approx.)
(a) 95% of what is 57?
(b) What number is 35% of 40?
Answers
Answer:
a=54.15 and b=14
Step-by-step explanation:
Which expression is equal to 6/7?
Answers
Answer:
Option C
The answer is 6 ÷ 7
Step-by-step explanation:
6/7 which means 6 divided by 7 i.e., 6 ÷ 7
Thus, The answer is 6 ÷ 7
-TheUnknownScientist 72
What is the equation of the line in slope intercept form perpendicular to the y axis and has the point (-4,5)
Answers
Answer:
y=5
Step-by-step explanation:
If it is perpendicular to the y-axis, that means it is a horizontal line so the slope m=0.
Use the equation
y-y=m(x-x)
y-5=0(x-(-4))
y-5=0
y=5
Answer:
y=5
Step-by-step explanation:
rotate segment AE about point F 144 degrees
Answers
Answer:
DC
Step-by-step explanation:
If we rotate a segment around a point 360 degrees, we have rotated it around to its original point. Similarly, if we rotate it 180 degrees, we have rotated it to the side opposite of where it once was relative to the point.
What we can do is see how much 144 degrees is of 360 and use that to determine how far around we rotate AE around F.
144/360
divide by 12 because that is a common factor of both the numerator and denominator
12 / 30
divide by 2 because that is a common factor
6/15
divide by 3 because that is a common factor
2/5
Therefore, 144/360 = 2/5. This means that we rotate segment AE 2/5 of the way around point F. We have 5 sides in the polygon ABCDE, and each represents 1/5 of the way around. Going counterclockwise, ED represents 1/5, DC represents 2/5, and so on. We are looking for 2/5, so DC is our answer
please help tysm ill mark brainliest
Answers
Answer:
use pemdas(order of the operations)and you'll get the answer 27!!
Step-by-step explanation:
If PQ =13 and PR = 18, what is QR?
Answers
Answer:
QR is equal to 5 since 13 is 5 less that 18. So since 13 was already taken, that leaves 5
Which equation is correct and shows that 42 is 7 times the size of 6?
42 × 2 = 7
42 × 6 = 7
42 ÷ 2 = 7
42 ÷ 6 = 7
Answers
I hope this helps
2. Nora's bill at a store is $125. If she leaves a 2% tip for the gate keeper,
how much will the total bill be, including tip?
Answers
Answer:
$127.50
Step-by-step explanation:
All you have to do is $125 times 1.02 because it is adding to the price it is already.
$125 × 1.02.
Which is $127.50.
2.5 dollars plus 125 dollars would give you a total bill of $127.50
100 POINTS PLS ANSWER
There are 7 friends who went to the bowling alley. Three of the friends each 1 point
bought a game of bowling for $x and a snack pack for $5. The other four
friends only bought a game of bowling. Choose ALL equivalent expressions
that represent the total cost for all 7 friends.
3x+15+4x
8 + 3 + 4x
7x+15
3(x+5)+4x
8 + 15 + 4x
Answers
Answer:
8+15+4x and 3x+15+3x
Step-by-step explanation:
Simplify -3(-4x + 2)
Answers
Step-by-step explanation:
12x - 6 is your answer in simplified form
Tìm nghiệm tổng quát của các phương trình
y"+2y'-3y=0
Answers
Answer:
y € R i guess
Step-by-step explanation:
I hope it correct
In ΔABC, m∠1=70° and m∠4=35°. What is m∠3?
Answers
Answer:
75
Step-by-step explanation:
A triangle can only have 3 angles that add up to 180 degrees. Subtract 70 and 35 from 180 to get 75.
180=x+70+35
180-(70+35)=x
7 1/2 divided by 2 1/2
Answers
Answer:
3
Step-by-step explanation: