Answer:
Step-by-step explanation:
a_1 = 15
a_2 = a_1 - 3
a_2 = 15 - 3
a_2 = 12
a_3 = a_2 - 3
a_3 = 12 - 3
a_3 = 9
a_4 = a_3 - 3
a_4 = 9 - 3
a_4 = 6
a_5 = 3
a_6 = 0 I'm leaving these last two to expand
a_n = a1 - (n - 1)*d
a_n = 15 - (n - 1)*3
a_n = 15 - 3n + 3
a_n = 18 - 3n
Example
a_6 = 18 - 3*6
a_6 = 0
Problem B
t(1) = 108
t(1 + 1) = 1/3 * 108
t(2) = 36
t(3) = 1/3 * t2
t(3) = 1/3 * 36
t(3) = 12
t(4) =1/3 (t(3))
t(4) = 1/3 * 12
t(4) = 4
t(5) = t4 / 3
t(5) = 4 / 3
t(5) = 1.3333333
So the explicit definition is
t(n) = 108 (1/3)^(n - 1) You could simplify this a little bit by realizing that 108 is made of three 3s.
t(n) = 4 * 3^3 * (1/3)^(n - 1)
t(n) = 4 * (1/3) ^ (n - 4)
Example
t(5) = 108 (1/3)^4
t(5) = 108(1/81)
t(5) = 1.3333333
And using the simplified formula, you get.
t(5) = 4 * (1/3)^1
t(5) = 1.333333 which is the same thing as the original result.
Answer:
see explanation
Step-by-step explanation:
(a)
Using the recursive rule and a₁ = 15 , then
a₂ = a₁ - 3 = 15 - 3 = 12
a₃ = a₂ - 3 = 12 - 3 = 9
a₄ = a₃ - 3 = 9 - 3 = 6
The sequence is 15, 12, 9, 6, ....
This is an arithmetic sequence with n th term ( explicit rule )
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 15 and d = - 3 , then
[tex]a_{n}[/tex] = 15 - 3(n - 1) = 15 - 3n + 3 = 18 - 3n
----------------------------------------------------------------------
(b)
Using the recursive rule and t₁ = 108 , then
t₂ = [tex]\frac{1}{3}[/tex] t₁ = [tex]\frac{1}{3}[/tex] × 108 = 36
t₃ = [tex]\frac{1}{3}[/tex] t₂ = [tex]\frac{1}{3}[/tex] × 36 = 12
t₄ = [tex]\frac{1}{3}[/tex] t₃ = [tex]\frac{1}{3}[/tex] × 12 = 4
The sequence is 108, 36, 12, 4, ......
This is a geometric sequence with n th term
[tex]t_{n}[/tex] = t₁[tex](r)^{n-1}[/tex]
where t₁ is the first term and r the common ratio
Here t₁ = 108 and r = [tex]\frac{1}{3}[/tex] , then
[tex]t_{n}[/tex] = 108 [tex](\frac{1}{3}) ^{n-1}[/tex]
Given that h(x) = -3x - 7, what is h(-4)?
Answer:
x=−3x−7whatish(−4)
Step 1: Flip the equation.
28ah2istw−3x=x
Step 2: Add 3x to both sides.
28ah2istw−3x+3x=x+3x
28ah2istw=4x
Step 3: Divide both sides by 28h^2istw.
28ah2istw
28h2istw
=
4x
28h2istw
a=
x
7h2istw
Answer:
a=x7h2istw
Answer:
x = -1 when h(x) = -4
Step-by-step explanation:
Solve for x when h(x)= -4
h(x) = -3x - 7
-3x - 7 = -4
+7 +7
-3x = 3
divide -3 by 3
-3x/3 = 3/-3
x = -1
You can check this by plugging the -1 into x
-3x - 7
-3(-1) - 7
3 - 7 = -4
Which of the following answer is equivalent to this expression 8+12x
Answer:
what is the answer choices
Step-by-step explanation:
answer:
4(2+3x)
step-by-step explanation:
4(4+3x)=16+12x
4(x+3x)=16x
3(5+9x)=15+27x
4(2+3x)=8+12x
how to solve 4(2+3x):
4(2+3x)
=(4)(2+3x)
=(4)(2)+(4)(3x)
=8+12x
good luck :)
hopefully, this helps
have a nice day !
Malcolm buys a 5/6 pound of black beans and a 3/4 pound bag of pinto beans. How many pounds of beans does Malcolm buy in all?
Answer:
1 7/12
Step-by-step explanation:
5/6+3/4=10/12+9/12 = 19/12 or 1 7/12
Is the relation a function?
The relation can be represented by the ordered pairs (2, 1), (3, 4), (5, 19), and (8, 7).
Choose the proper steps needed to solve the following equation and give the
solution for k:
-5k +2k = 45.
1) subtract 2k, then divide by -5
2) combine like terms, then divide by 3
combine like terms, then divide by -3
4) combine like terms, then add 3
Answer:
1
Step-by-step explanation:
subtract 2k, then divide by -5
PLEASE HEEEEEEEEEEEEEELLLLLLLLLPPPPPPP
Answer:
10, 32, 25
hope this helps!
Answer:
10, 32, 25
Step-by-step explanation:
it's half of the numbers
4 is half of 8
10 is half of 20
16 is half of 32
25 is half of 50
If the volume of an object is 5 cm3 and its mass is 55 g, what is its density?
A. 11 g/cm^3
C. 50 cm^3/g
С.
В. 15 g/cm
D. 275 g/cm^3
A rectangle is 6 centimeters longer than it is wide.
Its length and width are both increased by
4 centimeters.
Answer and Step-by-step explanation:
The length = 6 + w
The width = w
Rectangle when the length and width is increased by 4 centimeters.
length = 10 + w
width = 4 + w
#teamtrees #PAW (Plant And Water)
Daniel had $30 to spend at the fair admission to the fair is $7 and rides cost $1.50 each write an inequality that represents Daniels situation
Answer:
1.5r + 7 ≤ 30
Step-by-step explanation:
r = rides rode (that's sounds weird but funny lol)
Admission costs $7. Each ride costs $1.50, so the money he spends has to be less than or equal to $30
HELP!!
A right triangle has a hypotenuse measuring 25 centimeters and one leg measuring 7 centimeters. What is the length in centimeters, of the other leg of
the right triangle?
26 cm
O 576 cm
674 cm
24 cm
The volume of this sphere is 15500cm3.
Work out the length of the radius,
r
.
Give your answer rounded to 1 DP
Answer:
r = 15.5
Step-by-step explanation:
4/3 pi r^3 = 15500 cm^3
r^3 = 15500 ÷ (4/3 pi)
r^3 = 3700.35
r = cube root of 3700.35
r = 15.467
r = 15.5
Answer:
4/3 π r³= 15500
r³=15500×3/4×7/22
r≈15.2 cm
Step-by-step explanation:
Mia is rolling a pair of 666-sided dice.
P(n)P(n)P, left parenthesis, n, right parenthesis models the probability of the event that the sum of the dice is nnn.
Which number type is more appropriate for the domain of PPP?
Choose 1 answer:
Answer:
The domain of P is given by,
{n | n ∈ N, 2 ≤ n ≤ 12}
Step-by-step explanation:
A perfect die is perfectly cubic in shape with one of the integers 1,2,3,4, 5 or 6 in each of it's 6 faces and the digits on any two faces are different.
Now, two dice are rolled and P(n) models the probability of the event that the sum on the faces of the two dice is n.
Hence, the domain of P is given by,
{n | n ∈ N, 2 ≤ n ≤ 12}
Answer:
integers
2<_x<_12
Step-by-step explanation:
5 couples want to have their pictures taken. In how many ways can they arrange themselves in a row if couples must stay together
PERMUTATION is my answer...mm
2. A spinner is made up of three colored sections. Each time it is pon the colorit lands on is recorded.
The table shows the results.
Spinner Results
COLOR
FREQUENCY
15
green
orange
21
red
14
Based on the data in the table what is the probability that the result of the next spin will be red?
O A И
O
Answer:
14/50
Step-by-step explanation:
14/50
WILL GIVR YOU BRAINLEST PLEASE HELP ASAP!
Lines & and m are intersected by transversal t and e // m.
€
1
5
6
8
By which postulate or theorem is 23* 26?
A. Alternate Exterior Angles Theorem
O
B. Alternate Interior Angles Theorem
o
C. Corresponding Angles Theorem
D. Same-Side Interior Angles Postulate
Jillian lands the beanbag in the hole in about half of her attempts in a beanbag toss game. How can she predict the number of times she will get the beanbag in the hole in her next 5 attempts using a coin toss?
Step-by-step explanation:
So in the case of Jillian, landing the beanbag in the cornhole is 1/2. So this is just like flipping a coin.
the first time she tosses the beanbag she has a 1/2 chance of getting it in the cornhole and 1/2 chance of getting it outside the cornhole. And since she needs to get 5 tosses in a row into the cornhole, we multiply
1/2(1/2)(1/2)(1/2)(1/2)=1/32
I hope that helps :)
A store sells 0,1,2,3,4,5,6,7,8 items daily with the same probability. Find the probability that one day you will sell more than 3 items.
Answer:
5/9
Step-by-step explanation:
Each number - 0 through 8 - has an equal probability of being the number of sales on a particular day.
There are 9 possibilities of equal likelihood, so each one has a probability of 1/9.
So we want the probability of the number of sales being 4, 5, 6, 7, or 8.
Those are 5 out of the 9 possibilities, so 5(1/9) = 5/9.
Which of the g-values satisfy the following inequality? 7 > 12- 9 Choose all answers that apply:
g=4
g=5
g = 6
Answer:
the answer is g=6
Step-by-step explanation:
because I know
The red thing at the top is a right angle. Find the missing side lengths and leave answers as radicals in simplest form ILL GIVE BRAINLIEST
Answer:
A. x = 13
y = (13√3)/3
Step-by-step explanation:
Reference angle = 30°
Hypotenuse = (26√3)/3
Adjacent = x
Opposite = y
✔️Apply CAH to find x:
Cos 30 = Adj/Hyp
Cos 30 = x/(26√3)/3
√3/2 = x*3/(26√3) (cos 30 = √3/2)
√3/2 = 3x/(26√3)
Cross multiply
2*3x = (26√3)*(√3)
6x = 26*3
6x = 78
x = 78/6
x = 13
✔️Apply SOH to find y:
Sin 30 = Opp/Hyp
Sin 30 = y/(26√3)/3
Sin 30 = y*3/(26√3)
½ = 3y/(26√3) (sin 30 = ½)
Cross multiply
2*3y = (26√3)*1
6y = 26√3
Divide both sides by 6
y = (26√3)/6
y = (13√3)/3
erica watch 1/2 of a movie in the morning and she watched some at night and by the end of the day she still had 1/3 of left how much did she watch at night?
Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 48.8°F, what will be the temperature when the plane reaches an altitude of 8,000 ft?
Answer:
33.6 degrees F
Step-by-step explanation:
8000/1000 = 8
8(1.9) = 15.2 degree drop
48.8 - 15.2 = 33.6 degrees F
A sequence of distinct vertices such that two consecutive vertices are adjacent is known as path.
Seled one.
True
False
HEY MATE THIS IS UR ANSWER
TRUE.
When two vertices are joined by an edge, we say those vertices are "adjacent". Adjacent vertices are vertices that are joined by an edge, non-adjacent vertices are vertices not joined by an edge.
if you say i need help i will be their right away because your in danger
Answer:
oh wow thx
Step-by-step explanation:
Janiya just turned 18 years old. She spent 4/9 of her life in NY. How many years did Janiya live in NY? *
what is the ratio in simplest form between the length of a side in ABC and the length of its corresponding side in DEF
A. 1/1
B. 1/3
C. 3/1
D. 1/2
Answer:
3/1
Step-by-step explanation:
hope you got the correct answer
thankyou.
PLEASE HELP ITS DUE IN 7 MINUTES! A rectangle is formed. The length is 56 inches and the width is 42 inches. Find the length of the diagonal from the choices below.
A. 82.5 inches.
B. 70 inches.
C. 90 inches.
D. 60 inches.
Answer:
TO be honest the answer is 60.
Step-by-step explanation:
Could it be true or am I wrong and if so why?
Answer:
False
Step-by-step explanation:
Its not a repeating Decimal
I have no idea what to do. Pls help me
convert 25/100 into percent
Answer:
[tex]0.25[/tex]
Step-by-step explanation:
1) Divide the numerator by 100.
[tex]0.25[/tex]
Therefor, 25/100 in percent will be 0.25% which is 25%.
Answer:
25 %
Step-by-step explanation:
A fraction consists of two numbers and a fraction bar:
25/100
The number above the bar is the numerator: 25
The number below the bar is the denominator: 100
Divide the numerator by the denominator to get fraction's value:
Val. = 25 ÷ 100
Introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
Calculate the percent value:
25/100 =
25%;
Hope it is helpful....last year hari was 4 feet tall, and this year he is 5 feet tall. what is the percent increase of his height?
Answer:
75%
Step-by-step explanation:
hsjdidjdbdkosksksldmenk
Last year Hari was 4 feet tall, and this year he is 5 feet tall. There is a 25% increase in his height in one year.
What is a percent in math?Percent, a relative value indicating the hundredth part of any amount. One percent (symbolized 1%) is the hundredth part; for that reason, 100 percent represents everything and 200 percent specifies two times the given amount.
Conclusion: The percentage can be calculated by dividing the value by the total value and then multiplying the result by 100. The formula used to calculate the percentage is: (value/total value)×100%.
let 4feet be 100% of his height.
4 - 100%
x% = (increased height/actual height) * 100
x% = (5/4) * 100
x% q= 125
percent increase of height = 125-100 = 25
learn more percentages here https://brainly.com/question/843074
#SPJ2