The recursive formula for the geometric sequence is:
[tex]f(n) = \frac{1}{4}f(n - 1), f(1) = -320[/tex]
What is a geometric sequence?A geometric sequence is a sequence in which the coefficient of consecutive terms is always the same, called common ratio q.The recursive equation for a geometric sequence is:
[tex]f(n) = qf(n - 1)[/tex]
With f(1) as the first term.In this problem, the sequence is: {-320, -80, -20, -5, . . .}
The first term is [tex]f(1) = -320[/tex].The common ratio is [tex]q = \frac{-80}{-320} = \frac{1}{4}[/tex]Hence, the recursive equation is:
[tex]f(n) = \frac{1}{4}f(n - 1), f(1) = -320[/tex]
You can learn more about geometric sequence at https://brainly.com/question/11847927
The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]
Geometric progressionThe required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]
n the following sequence -320, -80, -20, -5,...
The The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]is given as:
r = -80/-320 = -20/-80 = 1/4The first term = -320The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]
Learn more on geometric functions here: https://brainly.com/question/222209
At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads and two sandwiches. The Donovan family pays $14 for a salad and three fruit bowls. What is the price of a fruit bowl at the cafe?
$2
$3
$4
$5
Answer:
$3
Step-by-step explanation:
https://brainly.com/question/16432745
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
[tex]\huge{\underline{\underline{\boxed{\sf{\purple{Answer}}}}}}[/tex]
Since column 3 of the given matrix consists of numbers which are all constant multiples of each other, there is a theorem which states that the determinant of this matrix is 0 .However, I will prove it from calculation just to verify and show how you would calculate such determinants should you not be aware of the theorems of linear matrix algebra.Use co-factor expansion along any row or column of your choice.This involves adding the products of the entries in each row with their co-factors[tex] { - 1}^({i + j} )[/tex]for an entry in row I and column j, multiplied by the minor of the entry, formed by evaluating the resulting determinant when you delete row I and column j.In this case, since the given matrix is 3x3 indimension, it will result in three 2×2 determinants which we can find from definition[tex] \binom{a \: b}{c \: d} [/tex] = ad-bc
I will take co-factor expansion along row 1 as an example to find the determinant of the given matrix as :
∆=[tex] 1( - 1) {}^{1 + 1} {} \binom{56}{8 \: 9} + 2( - 1) {}^{1 + 2} \binom{4 \: 6}{7 \: 9} + 3( - 1) {}^{1 + 3} \binom{4 \: 5}{7 \: 8} \\ = 1(45 - 48) +( - 2)(36 - 42) + 3(32 - 35) \\ = - 3 + 12 - 9 \\ = 0 [/tex]
the stages in
V89S8Sc
a
1
The diagram shows a cylinder.
8.2 cm
10 cm
The cylinder has radius 8.2 cm and height 10 cm.
The cylinder is empty.
Pam pours 1.5 litres of water into the cylinder.
Work out the depth of the water in the cylinder.
Give your answer correct to 1 decimal place.
Answer:
7.1 cm
Step-by-step explanation:
You want the height of a cylinder of radius 8.2 cm and volume 1500 cm³.
V = πr²h . . . . . formula for the volume of a cylinder
h = V/(πr²) . . . formula solved to give h
h = (1500 cm³)/(π·(8.2 cm)²) ≈ 7.1 cm
The depth of the water is about 7.1 cm.
What kind of sequence is this? 34, 44, 54, 64, ...
The probability that a man will be alive in 25 years is 3/5. and the probability that his wife will be alive is 2/3. Determine the probability that in 25 years:
a. both will be alive
b. at least one will be alive
c. only the wife will be alive
Answer:
e
Step-by-step explanation:
chicken nuggets
A) 6/25
B) 13/15
C) 4/15
Explanation:
A) P(both will be alive) = (3/5)(2/5) = 6/25
B) P(at least one will be alive) = 1-P(both die) = 1-(2/5)(1/3) = 13/15
C) P(only the wife will be alive)=(2/5)(2/3) = 4/15
I DONT KNOW THIS QUESTION
Write the number below as a fraction in its simplest form
0.41 recurring
Answer:
41/100
Step-by-step explanation:
Any decimal to a fraction would have to have a extra digit than the numerator also it has to start with 1 and the rest having to be a certain amount of 0's, 0.41 as a fraction fraction would be 41/100
i really need help with this quition
Answer:
I really need help with this question.*
Answer:
There is no question
Step-by-step explanation:
Hope you have a great day!!
to Linear Fun -unctions Which of the following terms in the equation y=xy + x + 20 makes it nonlinear? y DOOO ху 20
Answer:
xy
Step-by-step explanation:
4 CHALLENGE 35 toes—how
many
feet?
Hint Draw a picture to help.
How many in all?
Write the equation of the line parallel to the line and passing through the point.
y=x+5, (8, 1)
Answer:
y=2x+9
Step-by-step explanation:
I got y-2x+9 because if you add 8-1 that equals 7 and if u do 7-5 that equals 2 so y2x and then 7 Plus 2 equals 9 so it all adds up to Y=2x+9?.
Help help help help help please math I’m stuck
Answer:
A' (-2, -4)
B' (1, -8)
C' (-3, -16)
Step-by-step explanation:
Since k is the vertical scale factor, multiply all y coordinates by 4. All x coordinates will remain the same.
Towns A, B, C, and X are located along a straight highway. Town B is between A and C, and the distance from A to C is
41 miles. BC is 2 miles more than twice AB.
Town X is between A and B, 6 miles from A. Find XC.
a. 13 miles
c. 41 miles
b. 28 miles
d. 35 miles
Answer: 35 miles, but this is not an answer option.
Step-by-step explanation:
A X B C
AC = 41 miles
BC = 2AB + 2
AX = 6
AX + XC = 41 [This is the key equation. We want XC and AX is given as 6]
6 + XC = 41
XC = 35 miles
None of the answer options show this value.
I don't know why, since:
a. "the distance from A to C is 41 miles." means AC = 41, and
b. "Town X is between A and B, 6 miles from A" means AX = 6
If we say that AX + XC = 41, then 6 + XC = 41 and XC = 35
I don't know why this would be incorrect, so I'll leave it to someone else to spot the problem.
w+2/2 + 2 = w-5/3 solve for w
Answer:
w = -28
Step-by-step explanation:
[Given] w+2/2 + 2 = w-5/3
[Rewrite] [tex]\frac{w+2}{2} +2=\frac{w-5}{3}[/tex]
[Break up fraction] [tex]\frac{w}{2}[/tex] + [tex]\frac{2}{2}[/tex] + 2 = [tex]\frac{w-5}{3}[/tex]
[Combine like terms] [tex]\frac{w}{2}[/tex] + 3 = [tex]\frac{w-5}{3}[/tex]
[Break up fraction #2] [tex]\frac{w}{2}[/tex] + 3 = [tex]\frac{w}{3}[/tex] + [tex]\frac{-5}{3}[/tex]
[Add [tex]\frac{-5}{3}[/tex] to both sides] [tex]\frac{w}{2}[/tex] + [tex]\frac{14}{3}[/tex] = [tex]\frac{w}{3}[/tex]
[Subtract [tex]\frac{w}{2}[/tex] from both sides] [tex]\frac{14}{3}[/tex] = [tex]\frac{w}{3}[/tex] - [tex]\frac{w}{2}[/tex]
[Common denomiator of 6] [tex]\frac{14}{3}[/tex] = [tex]\frac{2w}{6}[/tex] - [tex]\frac{3w}{6}[/tex]
[Subtract #2] [tex]\frac{14}{3}[/tex] = [tex]\frac{-w}{6}[/tex]
[Multiply both sides by 6] 28 = -w
[S ubtract 28 from both sides & add w to both sides] w = -28
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
I need help on my algebra test. I’m reaching out because I’m really stuck and have no teachers available. Can you help me solve for y?
where is the question?
Dr. Smith can see 12 patients in 2 hours. At this rate, how long would it take him to see 96 patients?
OA. 576 hours
Step-by-step explanation:
set up a proportion
12 patients. 96 patients
---------------- = ------------------
2 hours. ?
96 • 12 = 1152
1152 ÷ 2 = 576 hours
Answer:
16hours
Step-by-step explanation:
12=2
96=x
crossmultiply
12x=192
x=192÷12
x=16
ILL GIVE BRAINIEST IF RIGHT
Is the product of rad 784 and rad 684 rational or irrational? Explain your resonating.
Answer:
Definitely rational because 576 and 684 are both natural numbers
Step-by-step explanation:
Can someone please help me figure out the answer to the question in the picture?
3
1) Wendy has 3/5 gallon of milk. She
used 1/8
gallon to make cookies. How
much milk does Wendy have left?
8
a)
T-
WIN
b)
b) io
3
1
19
29
c)
d)
40
40
Answer: 19/40 gallons
Step-by-step explanation:
She has 3/5. She used 1/8. 3/5=24/40 and 1/8 = 5/40.
24/40 - 5/40 = 19/40 gallons
:0 hope it helps
noah ran 2 1/2 miles in 3/5 hour
Answer:
4.1(6), 25/6, or 4 1/6 mph
Step-by-step explanation:
2.5/0.6=25/6
Can someone please help me I will mark u brilliant
Sophia uses 3 cups of peanut butter to make 51 peanut butter cookies. At this rate, how many cups of peanut butter does she need to make 153 peanut butter cookies?
I am good at reading not math I need help please
Step-by-step explanation:
the answer is attached
I Hope This HelpUse properties to evaluate 1/3 (-15 ÷ 1/2 ) 1/4?
A. - 5/2
B. 5/8
C. - 5/8
D. 5/2
see the attachment for explanation
hope it helps[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathbf{\dfrac{1}{3}(-15 \div \dfrac{1}{2})(\dfrac{1}{4})}\\\\\mathbf{= \dfrac{1}{3}(-15\div 0.5)(0.25)}\\\\\mathbf{= \dfrac{1}{3}(-30)(0.25)}\\\\\mathbf{= -10(0.25)}\\\\\mathbf{= \boxed{\bf -\dfrac{5}{2}}\approx -2.5}\\\\\\\\\\\\\huge\text{\bf Therefore, your answer is: \boxed{\mathsf{Option\ A. -\dfrac{5}{2}}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\bf{Amphitrite1040:)}[/tex]
What is the period of the trigonometric function f(t) = 3sin()?
A) 2 pi
B) 3 pi
C) 4 pi
D) pi / 2
if u get this right u get branist
5(2)^2-2(7) = 6
6(7+2)/2 = 27
Therefor the correct answer is the < symbol.
I hope this helps! :)
6+7+8+...+(n+5) find the sum.
Answer:
n + 26
Step-by-step explanation:
first you have to simplify
6 + 7 +8 + n + 5
then combine the like terms
6 + 7 + 8 + n + 5
(n) + ( 6 + 7 + 8 + 5)
= n + 26
hope this helps
7/8 * 1/2 =7/16 yes but wouldn't you have to divide it though like divide 16 / 7 = 3 3/7???
Answer:
No.
Step-by-step explanation:
I think you're talking about simplifying/reducing the fraction.
You would not do that in this case because the numbers 7 and 16 have no common factors besides 1.
The answer is already in its lowest/reduced form. You do not divide.
Please let me know if this was not what you were talking about!
Seth has 15 cans of regular soda and 20 cans of diet soda. He wants to create some identical refreshment tables that will operate during the high school football game. He also doesn't want to have any sodas left over. What is the greatest number of refreshment tables that Seth can stock? How many regular sodas will be at each table? How many diet sodas will be at each table?
If an opossum is 40 cm long, and a bat is 20 cm long. So an opossum is how many times as long as a bat?
40/20=2
So an opossum is 2 times as long as a bat