Answer:
198
Step-by-step explanation:
Because 6 to the power of three is 6 x 6 x 6 = 216 - 18 = 198
If a1=1 and an+1=ann+2 for n≥1, determine a1,a2,a3, and a4
Answer:
a1 =1
a2= 1/3
a3= 1/12
a4 = 1/60
Step-by-step explanation:
a(n+1) = an/(n+2)
if n=1
a(1+1)= a1/(1+2)
a2= a1/3
a2= 1/3
if n=2
a(2+1)= a2/(2+2)
a3= a2/4 = a2 × 1/4
a3= 1/3 × 1/4 = 1/12
if n=3
a(3+1)= a3/(3+2)
a4= a3/5 = a3 × 1/5
a4= 1/12 × 1/5 = 1/60
The value of [tex]\rm a_{1}, \rm a_{2}, \rm a_{3}, \rm a_{4}[/tex] for a given expression [tex]\rm a_{n+1} = {\frac {a_{n}} {n+2}[/tex] is 1, 1/3, 1/12, and 1/60.
We have given [tex]\rm a_{1} =1[/tex] and [tex]\rm a_{n+1} = {\frac {a_{n}} {n+2}[/tex] for n≥1 we need to determine the value of [tex]\rm a_{1}, \rm a_{2}, \rm a_{3}, \rm a_{4}[/tex] .
How do you solve for n terms?To solve for n terms, we will substitute the value of n = 1,2,3,4 and so on sequence-wise in the given expression.
if n = 1
[tex]\rm a_{1+1} = {\frac {a_{1}} {1+2}[/tex]
[tex]\rm a_{2} = {\frac {a_{1}} {3}}\\\rm a_{2} = {\frac{1} {3}[/tex]
if n = 2
[tex]\rm a_{2+1} = {\frac {a_{2}} {2+2}}\\\rm a_{3} = {\frac {1/3} {4}}\\\rm a_{3} = 1/12[/tex]
if n = 3
[tex]\rm a_{3+1} = {\frac {a_{3}} {3+2}}\\\rm a_{4} = {\frac {a_{3}} {5}}\\\rm a_{4} = 1/12 \times 1/5\\\rm a_{4} = 1/60[/tex]
So, the value of [tex]\rm a_{1}, \rm a_{2}, \rm a_{3}, \rm a_{4}[/tex] is 1, 1/3, 1/12, and 1/60.
Learn more about the substitution of values here:
https://brainly.com/question/20052796
Find the value of (x\). 65°) 78° 1069
Answer:
5 because I said so hahahahahahaahahhahaha
In a survey of 1.400 people who owned a certain type of car, 980 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
Percent of people satisfied with the car = 70%
Step-by-step explanation:
Given:
Total number of people survey = 1,400
Number of people satisfied with the car = 980
Find:
Percent of people satisfied with the car
Computation:
Percent of people satisfied with the car = [Number of people satisfied with the car / Total number of people survey]100
Percent of people satisfied with the car = [980 / 1400]100
Percent of people satisfied with the car = 70%
What is the slope of the line
Answer:
-2/3
Step-by-step explanation:
The line goes down 2 for every 3 to the right.
What is the area of a square with h=3in l=5in w=6in
Answer:
30in
Step-by-step explanation:
Length x Width = Area
v = s + at ... Solve for T
Find X.
Round to the nearest tenth.
Answer:
Step-by-step explanation:
[tex]c^2=a^2+b^2-2ab\cos\theta\\ \\ \theta=\cos^{-1}\frac{a^2+b^2-c^2}{2ab}\\ \\ \theta=\cos^{-1}\frac{55^2+50^2-90^2}{2(55)50}\\ \\ \theta\approx117.9^o[/tex]
What is the distance between -80 and 8?
Answer:
-88
Step-by-step explanation:
i did -80-8 =-88 and to make sure you do -88+8 and you get 80 so -88 is the distance between -80 and 8
4. If Sean has about 130 pieces of candy, what
are 3 amounts of candy he could actually
have?
on
Answer:
EXPLAIN
Step-by-step explanation:EXPLAIN
EXAMPLE
Marcia is at a store with a 20% off sale. She also has a coupon for an additional 10% off the sale price.
Prove or disprove the following statement: A 20% discount on the original price of an item, followed by the use of a 10% off coupon, results in a total discount of 30%.
I wil brainly anyone who answers this right with explination
Answer:
False
Step-by-step explanation:
I will use an example here:
Original price of a pc is $799
you use your 20% off coupon which will bring it down:
799 decrease 20% =
799 × (1 - 20%) = 799 × (1 - 0.2) = 639.2
then you use your 10% off coupon:
639.2 decrease 10% =
639.2 × (1 - 10%) = 639.2 × (1 - 0.1) = 575.28
our final price doing them separately is $575.28
while doing it in one step by subtracting 30%:
799 decrease 30% =
799 × (1 - 30%) = 799 × (1 - 0.3) = 559.3
our price by doing it with a 30% discount is $559.30
6(840.25)+15(1,374.05)+9(1.222.43)/30
Answer:
26018.979
yea...
Hi please help me it’s due in 45 min
Answer:
what is the result of part D
Pls help I’ll brainlest for the correct answer
Answer:
3+11a=80
Step-by-step explanation:
3+11a=80
11a=77
a=7
Which of the following multiplication problems has a product that is less than 3/8 Select three that are correct.
Mrs. Morris had 2 pounds of butter. She used
Name
2
pound of the butter to make cookie
Which number sentence can be used to find the amount of butter she had then?
Answer:
ooooooo0000000000000
I need help anyone plss :)
Answer:
Step-by-step explanation:
the following are true
1) yes
2)No
3)yes
4)yes
5)yes
6)no
40 is what percent of 145
Answer:
27.56
Step-by-step explanation:
Write an equivalent
measure in yards to to
126 in.?
1 ft = 12 in.1 yd = 3 ft
The ratio of boys to girls at Deerview Middle school is 5:3. If there are 120 boys at the school, how many total students are there
72 students
192 students
120 students
200 students
Answer:
192 students are at the school
Step-by-step explanation:
120 / 5 = 24
24 x 3 = 72
72 + 120 = 192
6 + 10k = 256
Find k please!!! (Please explain how aswell!)
Answer:
k = 25
Step-by-step explanation:
by solving it ;
10k + 6 = 25610k = 256 - 6 k = 250 / 10k = 25i hope it helped......
Answer:
k=25
Step-by-step explanation:
6+10k=256
10k=256-6
10k=250
k=250/10
k=25
crosscheck
6+10(25)=6+250=256
erica planted 8 cucumber plants each plant had 37 green cucumbers. how many cucumbers are the 8 plants altogether
Answer:
296
Step-by-step explanation:
8 plants × 37 on each = 296 cucumbers
Answer: 296
If you multiply the 37 green cucumbers each by the 8 cucumber plants they grew from, you'd end up with 296 green cucumbers altogether.
HELP PLSSSSS
Solve this story problem
Write a division equation
and write the answer as a
fraction
Jax had 6 slices of pizza.
He shared the 6 pieces
among himself and 4
friends. How much pizza
did each person get?
Answer:
gghhrtyrhtfvrregrhcsvtghs
Step-by-step explanation:
can somebody solve this x/15=8
Answer: x = 120
Step-by-step explanation:
what is a scaled copy?
Answer:
A scale copy of a figure is a figure that is geometrically similar to the original figure.
Step-by-step explanation:
Hope this makes sense.
Charlie makes a batch of 90 cookies and divides it into smaller batches. If there is 1/3 cup of flour in each small batch, how many batches did he divide his cookies into?
Answer:
3 batches
Step-by-step explanation:
im assuming all the cookies make up a cup of flour? so if one small batch is 1/3 then that means there's two more.
George Washington Carver "The Peanut Man" was an agricultural scientist who invented over 300 products that use peanuts. He was born enslaved in Missouri but was freed shortly after the Civil War. He became the first African American Student who studied Botany at Iowa State. The total cost of the lab equipment was $890 with 6% tax. What was the total including tax?
Answer:
Step-by-step explanation:
$890 × 1.06 = $943.40
Anyone know hurry help!! Carl bought 4 packs of gum with x pieces in each pack. How many pieces of gum did he buy?
Answer:4x pieces of gum
Step-by-step explanation: since you don't know how much x is, the answer includes the variable.
2- Jack and Jill went out to dinner. Jack ordered a slice of pizza for $4.99 and a drink for $1.89.
Jill ordered a salad for $5.49 and a drink for $1.89. They each had a 15% coupon for their meal.
How much did Jill pay for her meal?
Show work:
3- A video game costs a retailer $24. The store marks it up 35%, what is the markup amount?
Show work:
Answer:y = 10.5
Step-by-step explanation:
First, assign a variable to each unknown value.
Let:
x = cost of the pepperoni pizza
y = cost of the plain pizza
Next, set up equations based on the word problem. We then have the following equations:
(1) 3x + 2y = 58.50
(2) 2x + 4y = 67
Equation (1) comes from the statement: "Jack paid 58.50 for 3 pepperonies and 2 plain pizzas". Equation (2), on the other hand, translates the statement: "Jill paid 67 for 2 pepperonies and 4 plain pizzas".
To solve for two unknown variables given two independent equations, eliminate one variable first. That is, multiply equation (1) to -2.
-2[3x + 2y = 58.50]
-6x -4y = -117
Then add this to equation (2):
-6x -4y = -117
2x + 4y = 67
-------------------
-4x = -50
x = -50/-4 = 12.5
To solve for y, we use equation (2) and substitute the value of x which has been solved already.
2(12.5) + 4y = 67
y = 10.5
To summarize, they paid $12.50 for the pepperoni pizza while they paid $10.50 for the plain pizza.
Compared to last year, the population of Boom Town has increased 25%. The
population is now 6,600. What was the population last year?
Answer:
Step-by-step explanation:
1.25p=6600
p=6600/1.25
p=5280
=
Insight number 2: to evaluate the limit of a:
1. Rational function: you can factorize and cancel out what you can
2. Radicals (subtractions of square roots): multiply and divide by the
conjugate. For example:
Vx2 + 1 - x
x? +1 - x2
x2 +1-x=
(V x2 +1 + x)
Vx2 + 1 + x
V.x2 + 1 + x
1
Vx2 +1 + x
3. Trigonometric functions: try to connect your limit with important
sin (x)
trigonometric limits like limx40 = 1
If you are stuck with a trig limit, express all the trig functions in terms
of sine and cosine.
4. If you are composing continuous functions, you can pass the limit
inside the external function: Cimz-a f(g(x)) = f(lim,-a 9(x))
Answer:
sa tingin ko mas dapat nating pagtuonan ng pansin ang mga bagay naaningning sa ating buhay