Answer:
An explicit rule for the nth term of the sequence will be:
[tex]a_n=-4\cdot \:2^{n-1}[/tex]
Thus, option (A) is true.
Step-by-step explanation:
Given the sequence
[tex]-4, -8, -16, -32, ...[/tex]
A geometric sequence has a constant ratio r and is defined by
[tex]a_n=a_0\cdot r^{n-1}[/tex]
Computing the ratios of all the adjacent terms
[tex]\frac{-8}{-4}=2,\:\quad \frac{-16}{-8}=2,\:\quad \frac{-32}{-16}=2[/tex]
As the ratio 'r' is the same.
so
[tex]r=2[/tex]
as
[tex]a_1=-4[/tex]
Hence, the nth term of the sequence will be:
[tex]a_n=a_0\cdot r^{n-1}[/tex]
substituting the values [tex]r=2[/tex] and [tex]a_1=-4[/tex]
[tex]a_n=-4\cdot \:2^{n-1}[/tex]
Therefore, an explicit rule for the nth term of the sequence will be:
[tex]a_n=-4\cdot \:2^{n-1}[/tex]
Thus, option (A) is true.
Starting with number 0 on my calculator, I do a calculation in five steps. At each step, I either add 1 or multiply by 2. What is the smallest number that cannot be the final result?
Answer:
assuming only positive integers, the answer is 1
Step-by-step explanation:
the smallest number that you can get by adding is:
start with 0then add 1 = 1add another 1 = 2add another 1 = 3add another 1 = 4add another 1 = 5but you can also multiply, and anything multiplied by 0 is 0:
start with 0multiply by 2 = 0multiply by 2 = 0multiply by 2 = 0multiply by 2 = 0multiply by 2 = 0The question does not say that we need to do any specific calculation, it only gives us 2 options and we can choose them as many times as we want.
The value of (a+b)sq + (a-b)sq is
Answer:
2asq
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(a + b)sq + (a - b)sq
Step 2: Simplify
Distribute sq: asq + bsq + asq - bsqCombine like terms: 2asqIM STUCK WITH THIS, ITS BETWEEN 22 OR 12 CAN SOMONE CHECK?
ILL MARK U BRAINIEST
Answer:
12
Step-by-step explanation:
it’s 12 because 4 x 3 = 12
Hugo took a math test with 40 questions. If he got 75% of the answers correct, how many did he answer incorrectly?
Answer:\
10
Step-by-step explanation:
25 % correct ie, 40 * 25/100
=10
plz mark as brainliest!!
What is the measure of \large \angle C?
I need help with THIS
Answer:
1) 10x
2)360-(5x+20)-10x-(7x-8) (I think?)
3) 7x-8
4) 5x+20
Step-by-step explanation:
Answer:
x=15.8degrees
Step-by-step explanation:
10x+5x+7x+20-8=360
22x+12=360
=22x=360- 12
22x=348
x=15.8 degrees
a man earned and interest of 240 in 4 years at 20%per annum simple interest. calculate the principal
Answer:
Step-by-step explanation:
P x 20/100 x 4=240
1/5 x 4p =240
4/5p x5=240 x 5
4p/4=1200/4
p=300
We need I = prt.
240 = p(0.20)(4)
240/[(0.20)(4)] = p
Use your calculator to calculate the left side.
Four groups of students will clean a total of 3.25 miles of the trail along Lady Bird Lake. Each group will clean the same length of the trail. What length of the trail will each group clean?
Can someone please help me with this question?!
Answer:
-5
Step-by-step explanation:
The slope is given by
m= ( y2-y1)/(x2-x1)
= ( 0-10)/(2-0)
= -10/2
= -5
5 students share 2 candy bars what fraction of a candy bar does each student get?
Answer:
2/5
Step-by-step explanation:
Take the number of candy bars and divide by the number of students
2/5
Each will get 2/5 of a candy bar
Answer:
2/5
Step-by-step explanation:
2. The envelope below has a mailing label. L(x) = 6x + 5 W(x) = 6x + 5 M(x) = x +4 NOx) = x + 2 MR. AL GEBRA 123 INFINITY WAY POLYNOMIAL, XY 11235 a. Let A(x) = L(x).W(X) - M(x)•N(x). Find A(x).
Answer:
A(x) = 35x² + 54x + 17
Step-by-step explanation:
Relation in the polynomials has been defined as,
A(x) = L(x).W(x) - M(x).N(x)
L(x) = (6x + 5)
W(x) = (6x + 5)
M(x) = (x + 4)
N(x) = (x + 2)
By substituting the polynomials in the expression,
A(x) = (6x + 5)(6x + 5) - (x + 4)(x + 2)
= (6x + 5)² - (x + 4)(x + 2)
= (36x² + 60x + 25) - (x + 4)(x + 2) [Since, (a + b)² = a² + 2ab + b²]
= (36x² + 60x + 25) - [x(x + 2) + 4(x + 2)]
= (36x² + 60x + 25) - [x² + 2x + 4x + 8]
= (36x² + 60x + 25) - [x² + 6x + 8]
= (36x² - x²) + (60x - 6x) + (25 - 8)
= 35x² + 54x + 17
A(x) = 35x² + 54x + 17
How do I work out the size of angle x
what is the value of ? pls help
plz help
will give brallest
Answer:
your answer is the very first one
Step-by-step explanation:
(^2 - 9)(x^3 + 3)
Pls someone answer this for me;(
Answer:
x^5-27
Step-by-step explanation:
add the exponents
multiply the rest
X=-4y + 4
2x + 8y =8
How many solutions are there?
Answer:
One solution.
Step-by-step explanation:
About this question, look at the photo
Answer:
27/20 or 1.35
Step-by-step explanation:
plz mark brainliest
solve what is 1/2 x 15
Answer:
7.5
Step-by-step explanation:
it's basically just 15 divided by 2
The equivalent value of the expression (1/2 x 15) is 7.5.
What is algebraic expression?In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.
Given is to solve the expression as -
1/2 x 15
We can write the expression as -
{x} = 1/2 x 15
{x} = 15/2
{x} = 7.5 x 2/2
{x} = 7.5
Therefore, the equivalent value of the expression (1/2 x 15) is 7.5.
To solve more questions on expressions, visit the link below -
https://brainly.com/question/27911936
#SPJ5
whats this answer i need it fast uwu
Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero. Fill in the missing step in the proof.
Answer:
We conclude that the sum of two rational numbers is rational.
Hence, the fraction will be a rational number. i.e.
[tex]\frac{ad+cb}{bd}[/tex] ∵ b≠0, d≠0, so bd≠0Step-by-step explanation:
Let a, b, c, and d are integers.
Let a/b and c/d are two rational numbers and b≠0, d≠0
Proving that the sum of two rational numbers is rational.
[tex]\frac{a}{b}+\frac{c}{d}[/tex]
As the least common multiplier of b, d: bd
Adjusting fractions based on the LCM
[tex]\frac{a}{b}+\frac{c}{d}=\frac{ad}{bd}+\frac{cb}{db}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{ad+cb}{bd}[/tex]
As b≠0, d≠0, so bd≠0
Therefore, we conclude that the sum of two rational numbers is rational.
Hence, the fraction will be a rational number. i.e.
[tex]\frac{ad+cb}{bd}[/tex] ∵ b≠0, d≠0, so bd≠0what the slope of(4,-13) (8,-8)
Answer:
5/4
Step-by-step explanation:
1. -13 - -8 = -5
2. 4-8 = -4
3. -5/-4 = 5/4
33
34
11) If the sales tax rate in NC is 7%, how much tax
would I pay on a $23 pair of boots?
Answer:
$1.61
Step-by-step explanation:
Tax paid = 7% of $23
= 0.07*23
= $1.61
5. The largest mosaic in the world is on the walls of the central library of the
Universidad Nacional Autonoma de Mexico in Mexico City. The mosaic depicts
scenes from the nation's history and covers an area of 4000 m2. If the entire
mosaic were on one square wall, what would the dimensions be? Estimate your
answer to the nearest whole number and then use your calculator to get the
length to the nearest HUNDRETH.
Answer:
63.25mStep-by-step explanation:
The area of the square wall = L² where;
L is the length of the wall.
Given
Area of the mosaic = 4000m²
Substitute into the formula and get L
4000 = L²
Square root both sides
√4000 = √L²
√4000 = L
Rearrange
L = √4000
L = 63.25m (to the nearest hundredth)
Hence the length to the nearest hundredth is 63.25mWhat is the answer to this math problem; 12 5/6x-14x+ 1/6x
Answer: wyd are you mad at me
Answer: Who are
Step-by-step explanation:
If x = 2 work out the value of 4x 2
Answer:
16
Step-by-step explanation:
First plug in 2 as the "x" in 4x
so 4 times (2) times (2)
and if you mutiple 4 x 2 you get 8
then 8 times 2 is 16
[tex]( \frac{3}{5} ) - 2[/tex]
simplify
Plz help out!! And no this is not a test :)
9514 1404 393
Answer:
B = (-4, 5)
Step-by-step explanation:
Reflection over the origin changes the signs of the coordinates.
(x, y) ⇒ (-x, -y)
(4, -5) ⇒ (-4, 5)
Point B is (-4, 5).
Answer:
(-4,5)
Step-by-step explanation:
i do not know
i do not know
i do not know
i do not know
Alyssa has 2.1 meters of ribbon to make bows. She needs to make 3 bows. If she uses an equal amount of ribbon for each of her bows, and uses all of the ribbons she has, how much ribbon will she use for each bow?
Use the Math Learning Center App, Number Pieces to show your thinking using place value blocks. Enter your answer and explain how you used the place value blocks to model the problem.
Answer:
0.7 ribbon
Step-by-step explanation:
To find how much is needed, use division.
So, to show your work:
2.1 divided by 3 = 0.7
I hope this is what you were looking for and I hope this is the correct answer for you!!! :)
can someone please tell me how to solve this
Answer:
21.33 units (rounded)
Step-by-step explanation:
The height, x, can be determined through the Pythagorean Theorem:
a^2+b^2=c^2 (where b will be our height)
(22/2)^2+b^2=24^2
121+b^2=576
b^2=455
b=21.33072901
So the height is about 21.33 units
Solve the equation y = ax − b for the variable x.
Answer:
x = y/a + b/a
? is that what you meant
Step-by-step explanation:
Answer:
the answer is d) x = y/a+ b/a
Step-by-step explanation:
brainliest pleasee