The formula for any geometric sequence is an = a1 · rn - 1 , where an represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ...? an = 4 · ( ) n - 1 an = 2 · 4 n - 1 an = 32 · 2 n - 1 an = 4 · 2 n - 1
Answer:
an = 4 · 2^(n - 1)
Step-by-step explanation:
Given:
an = a1 · r^(n - 1)
Where,
an = value of the n th term
a1 = value of the first term
r = common ratio
n = the term number.
What is the formula for the geometric sequence 4, 8, 16, 32, ...?
a1 = 4
r = 8/4
= 2
n = n(not given)
Substitute the values of a1 and r into the formula
a1 = 4
r = 2
an = a1 · r^(n - 1)
an = 4 * 2^(n - 1)
The correct answer is:
an = 4 · 2^(n - 1)
Answer:
an = 4 · 2^(n - 1)
Step-by-step explanation:
solving step
[tex]144x^{2} +36[/tex]
3. What is a polynomial function in standard form with zeros 1,-1, 2, and 4?
Answer:
x⁴ - 6x³ + 7x² + 6x - 8
Step-by-step explanation:
What is f(-4) if f(x)=-2-8?
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
47
Step-by-step explanation:
Answer:
x = 63
Step-by-step explanation:
180 = 47 + 70 + x
180 = 117 + x
180 - 117 = x
63 = x
The cost for 4.6 pounds of shrimp is $20.93.
find the unit price in dollars per pound.
Answer: $5.94
Step-by-step explanation: because you divide 20.93 by 4.6 which equals 5.94
helppp it’s for someone else and I don’t feel like doing it
Answer:
3/10
Step-by-step explanation:
Answer: 3/10
Work (Easy Method): So the easy method is to count how many spaces are there, and since there are 10, you choose the 3/10
Work (Harder Method): You count the White spaces in both, and put it over the total spaces, So, since there's 4 white spaces in Tracy, and 10 total spaces, you do 4/10, and same goes with Carol. So, you just subtract 7/10 by 4/10, and you get 3/10
I hope this helps, and Happy Holidays! :)
Joe painted 28 1/2 square feet in his bedroom in 1/2 an hour. How many square feet can he paint in an hour?
Answer:
57
Step-by-step explanation:
You add 28 1/2 + 28 1/2
HELPP!!! WILL GIVE BRAINLIEST AND 5 STARS!!!
Answer:
F=73.74 degrees
Step-by-step explanation:
sin=opposite/hypotenuse
opp=24 hyp=25
sin(F)=24/25 (to find angle have to use inverse sin)
sin-1(24/25)=73.74
The amount of calories you consume after eating x
pieces of candy is represented by the function
y = 150x. Find the domain of the function and
determine whether it is discrete or continuous.
Answer:
Domain: [tex]x[/tex]
Number of pieces of candy: Discrete variable.
Domain of the function: [tex]Dom\{y\} = \mathbb{N}_{O}[/tex]
Step-by-step explanation:
Let [tex]y = 150\cdot x[/tex]. From Function Theory, we know that domain represents the set of values of the independent function, defined by the variable [tex]x[/tex] in this case, whereas the range represents the set of values associated with the domain, defined by the variable [tex]y[/tex] in this case.
Since [tex]x[/tex] represents the number of pieces of candy, this variable has a discrete nature.
In addition, this linear function has a domain represented by the set of natural number and the zero element.
7L+5r=97
What’s the answer for both letters?
Answer:
r = 11
L = 6
Step-by-step explanation:
7(6) = 42
5(11) = 55
42 + 55 = 97
r = 4 in., θ = 11 rad; find s
Answer:
The arc length s = 44 inches
Step-by-step explanation:
We are given:
r = 4 in
Ф = 11 radians
We need to find s
The formula used is: [tex]s=r\theta[/tex]
where s represents arc length, r is radius and Ф is angle in radians
Putting values and finding s
[tex]s=r\theta[/tex]
Put r = 4 and Ф = 11
[tex]s=4\times 11\\s=44[/tex]
So, the arc length s = 44 inches
Please help I will give brainliest
Answer
D
Step-by-step explanation:
Answer: option B
Step-by-step explanation:
if you use the number on the top of the shape on the right, then you have to compare it to the number on the top of the shape on the left. and vice versa for the numbers on the side of the shapes. it doesn't matter what number in the comparison goes on top of the fraction, but option C is the only answer with the correct calculations.
Zane's parents keep a chart on the wall where they mark how much Zane grows each year. When Zane was 15, he grew 3/5 of an inch and when he was 16, he grew 1/2 of an inch. In total, how much did Zane grow in during those two years?
Answer:
1 1/10 or 11/10
Step-by-step explanation:
Zane grew 3/5 of an inch during the first year and 1/2 an inch during the second. First, you have to make sure the denominators are the same number. Then, add the numerators. Simplify if needed.
Answer:
1.1 Inches
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator. To get the common denominator I multiplied 3/5 by 2/2 to get 6/10 and I multiplied 1/2 by 5/5 to get 5/10 now that they have a common denominator you can add and you get 11/10 = 1.1
what is the value of the function f(x)=4(x-15) evaluated at x=10?
Write the equation of a quadratic with x-intercept at 10 and 6 and passing through the point (11,8)
The quadratic equation with x-intercept at 10 and 6 and passing through the point (11,8) is 5y = 8(x²-16x +60).
As given in question,
Given x-intercept at 10 and 6
The quadratic equation with x-intercept is
y = k(x-10)(x-6) ___(1)
Passing through the point (11,8)
8= k(11-10)(11-6)
⇒8=5k
⇒k=8/5
Substitute the value k in (1) to get quadratic equation with x-intercept :
y = (8/5)(x-10)(x-6)
⇒5y = 8(x²-16x+60)
Therefore, the quadratic equation with x-intercept at 10 and 6 and passing through the point (11,8) is 5y = 8(x²-16x +60).
Learn more about quadratic equation here
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The quotient of 24 and d
Answer:
24/d
Step-by-step explanation:
What does the x equal
Answer:
95 degrees
Step-by-step explanation:
x and 95 are vertical angles, so they are the same measure
A customer buys 26 items for a total of $ 75.50 at a plant sale. The customer buys x rosemary plants for $ 1.75 each, y ivy plants for $ 3.75 each, and z patio pots for $ 10.75 each. The customer buys 12 more rosemary plants than ivy plants. Which set of equations could be used to find the number of each type of item the customer buys? Hide Answer Option { x=y+12 x+y+z=26 1.75x+3.75y+10.75z=75.5 } Hide Answer Option { x=12y x+y+z=75.5 1.75x+3.75y+10.75z=1,963 } { x+12=y x+y+z=26 1.75x+3.75y+10.75z=75.5 }
answer is $89.98
Step-by-step explanation:
add
the imaginary unit i is defined as i = ?
194 people must be split into 2 equal groups. how many people in eachgroup
fast if possible
Solve the equations and check the results
4x+5=17-2x
★・・・・・・★
Hello, there I'm here to you help today!
★・・・・・・★
●～●～●～●～●
Step 1:
[tex]4x+5=17-2x[/tex]
subtract 4x on both sides to get 6x
[tex]5=17-6x[/tex]
Now subtract 17 on both sides
[tex]-12=-6x[/tex]
Lastly, divide -6 on both sides
[tex]\frac{-12}{-6} =\frac{-6x}{-6}= 2[/tex]
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Hope you have a very good day <3
☕Lori-chan☕
If I have 3 A's, 2 B's, and 1 C, what is my average grade?
It's not a quiz question or whatever, I just wanna know lol
(Also, my bday was on the 11th lol thats why its 13 pts, bc I turned 13 lol)
please help!!! i need help asap
verify by substitution that the given function is a solution of the given differnetial equation. note that any primes denote derivates with respect to x
It is verified that f(x) is a solution of the given differential equation.
It is given that f'(x) = 6x^5A function is a mathematical link that connects a set of inputs to a set of outputs, with each input corresponding to exactly one output.A function is defined as a mathematical link between a group of inputs that each have one output.The function f(x) is x^6 + 14.f(x) = x^6 + 14A differential equation is a mathematical equation that connects one or more unknown functions and their derivatives. In most applications, functions represent physical values, derivatives reflect their rates of change, and differential equations describe a link between the two.Differentiate both sides with respect to x.f'(x) = 6x^5 + 14f'(x) = 6x^5Hence, it is verified that f(x) is a solution of the given differential equation.To learn more about functions, visit :
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a postman brought n letters to a house with two letter-boxes. since the two boxes were empty, he puts 1 mail in each of the two mail boxes. then he chooses one of boxes with probability proportional to number of letters present in that box, and puts the 3rd letter in it. he does this for all subsequent letters. what is the expected number of letters in the box with lower letters?
Solve for the value of x
Answer:
x=16
Step-by-step explanation:
First start of by collecting like terms: 9x+x+x and -8+10+2. There the x's equal 11x and the numbers equal 4. We add those together to make 11x+4. As this is a triangle all the angles add up to 180 degrees, so we equal 11x+4 to 180 degrees. Like 11x+4=180. Subtract the 4 from each sides, to get 11x=176. Then divide both sides by 11, to get x=16
De un grupo de 85 personas, 40 estudien y 50 trabajan, 10 estudian y trabajan.
a) ¿Cuántas no estudian y trabajan?
b) ¿Cuántas personas únicamente se dedican a estudiar?
c) ¿Cuántas personas únicamente se dedican a trabajar?
Answer:
a) 5
b) 30
c) 40
Step-by-step explanation:
(no entiendo mucho espanol pero voy a ayudar...)
a) hay 10 que haces los dos, 30 que solo estudien, y 40 que solo trabajan. Con eso, 80-10-30-40 = 5, y asi tienes 5 personas que no estudian y no trabajan
b) las personas que estudian son 40, y 10 trabajan tambien, asi solo tienes 30 personas que unicamente se dedican a estudiar.
c) las personas que trabajan son 50, y 10 estudian tambien, asi solo tienes 40 personas que unicamente se dedican a estudiar.
Is 47/67 terminating, non terminating or repeating
Which number below is a prime number? O A. 39 O B. 105 O c. 101 OD. 15 asap
Answer:
It should be 101