Given:
[tex]a_1=-4[/tex] and [tex]a_n=a_{n-1}+9[/tex] where [tex]n\geq 2[/tex].
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:
[tex]a_n=a_{n-1}+d[/tex]
Where, d is the common difference.
We have,
[tex]a_n=a_{n-1}+9[/tex]
Here, d=9.
The first term of the AP is [tex]a_1=-4[/tex].
The explicit formula for an AP is:
[tex]a_n=a_1+(n-1)d[/tex]
Substituting [tex]a_1=-4[/tex] and [tex]d=9[/tex], we get
[tex]a_n=-4+(n-1)9[/tex]
[tex]a_n=-4+9n-9[/tex]
[tex]a_n=-13+9n[/tex]
Therefore, the required explicit formula for the given sequence is [tex]a_n=-13+9n[/tex].
Algebraic expressions. c^2+d^2
Answer:
what are you asking?
Step-by-step explanation:
Tina's gross pay is $2860. How much of her gross pay will be deducted for FICA taxes? (The Social Security tax is 6.2% of gross pay. The Medicare tax is 1.45% of gross pay.)
$218.79
$205.02
$177.32
$41.47
IWILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
1 point
Oceanside Bike Rental Shop charges a 13 dollar fixed fee plus 9 dollars an
hour for renting a bike. Carlos paid 58 dollars to rent a bike. How many
hours did he pay to have the bike checked out? *
Answer: 5 hours
Step-by-step explanation:
Carl paid $58 dollars in total and this included the fixed dollar fee and the variable amount of $9.
To find the number of hours, first deduct the fixed component:
= 58 - 13
= $45
$45 was spent as a result of hourly fee. The number of hours is therefore:
= Total hourly cost/ Cost per hour
= 45 / 9
= 5 hours
2/5g = 3/5 give me a good explanation that is easy to understand
Please help. What is the answer?
Answer:
Choice number 3
Step-by-step explanation:
Because look at the length of 8 on one side and notice the other side is a little longer
Solve (s−9)(s−1)=0. how do I solve this equation
Answer:
Step-by-step explanation:
I NEED HEEEEEEELP-
But- People can you guys give me a straight answer? I'm tired and have a headache from all this. I need to make this assignment.
..........
Answer:
C= 93⁰, B= 64⁰, D= 23⁰
Step-by-step explanation:
180= (4x + 1) + (3x - 5) + x⁰
180= 4x+1 +3x-5 +x
180= 8x - 4
184= 8x
184/8= x
23=x
therefore
C= (4(23) +1)
C= 93
B= (3(23)-5)
B= 64
D= 23
93⁰+64⁰+23⁰=180⁰
What is the area of the trapezoid?
Answer:
26 this is because 4x5=20 then add the triangle which is 3x4 ÷ 2 equalling 26
Answer:
Step-by-step explanation:
(5+8)/2 = 13/2 = 6.5
6.5*4 = 26m²
The formula for the area of a trapezoid is the same as a trapezium :
(a+b)/2 *h = Area
Which equation represents a nonproportional relationship? Which equation represents a nonproportional relationship? A y = 5x B y = 5x + 3 C y = −5x D y = − 1 5 x
Answer:
y = 5x + 3 is a nonproportional relationship.
Step-by-step explanation:
We need to find the equation that represents a nonproportional relationship.
If y is directly proportional to x, it would mean that,
y ∝ x
y = kx
Option (b) shows the equation of a line i.e. y=mx+x, where m is slope and x is y-intercept.
Hence, we can say that option (b) represents a nonproportional relationship.
a=-2 and c=3 find 2c+a
Answer:
Answer is 4 you have to substitute the a and c
Answer:
4
Step-by-step explanation:
If a= -2 and c= 3 then, 2(3) + -2.
6 + -2.
4.
Hope it helps!!!!!!!!! :))
PLEASE HELP I WILL GIVE BRAINLIEST
Find the new amount if the original amount is 74 degrees and the percent of decrease is 3%. Round to the nearest tenth. Show all work. answer for a brainlist
pls hurry
Answer:
71.8
Step-by-step explanation:
74*0.97=71.78
Rounds up to 71.8
uhm!!! i need help please
Answer:
5
Step-by-step explanation:
Can someone tell me the code for this
The DIget In The Tenths Place Is 8
The diget In The Hundreds Place Is 4
The diget In The Ones Place Is 9
The Diget In The Tens Place Is 3
Answer:
The code for that is 439.8
Members of a landscaping company built a retaining wall. They used brick to make the top ⅔ of the wall.
Answer:
The answer is "[tex]1\frac{5}{6}[/tex]"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]BH=\frac{2}{3} \cdot L[/tex]
[tex]=\frac{2}{3} \cdot (2+\frac{3}{4}) \\\\=\frac{4}{3} +\frac{6}{12} \\\\=\frac{4}{3} +\frac{1}{2} \\\\=\frac{8+3}{6} \\\\=\frac{11}{6} \\\\= 1 \frac{5}{6} \\[/tex]
Answer:
The answer would be 1 5/6 !
Step-by-step explanation:
Find the area of four walls of a room (Assume that there are no doors or windows) if its length 12 m., breadth 10 m. and height 7.5 m. ?
Answer:
Refer to the attached file
Hope it helps..
Have a great day : )
Answer:
Hopefully u will satisfy with my answer..!!A shipping crate is 9 feet long, 4 feet wide, and 6 feet tall. What is the total surface area of the crate in square feet?
Answer:
Step-by-step explanation:
sureface area of rectanglur object is the sum of the six sides
Area = Length x Width
SArea = Top Area + Bottom Area + Front Area + Back Area + Left Side Area
+ Right Side Area
since the top and bottom have equal area = long x wide
the front and back have equal area = long x tall
and both sides have equal area = wide x tall
I summed the bottom front and side areas each times 2
SArea = 2(Bottom Area) + 2(Front Area) + 2(Side Area)
factor out the 2 and added the area formulas for the bottom front
and side
= 2 [ (long x wide) + (long x tall) + (wide x tall)]
= 2 [ (9 x 4) + (9 x 6) + (4 x 6)]
= 2 [ (9)(4) + (9)(6) + (4)(6)]
= 2( 36 + 54 + 24 )
= 2( 114)
= ???? What is 2 times 114 ???? You can finish this part.
Fred went to his local zoo that featured 6 whale exhibits. If the zoo features 15 exhibits in total, then what percent of the zoo's exhibits feature whales.
Answer:40%
Step-by-step explanation:
Given
The zoo featured 6 whales exhibits
There are 15 exhibits in total
Percentage of Zoo's exhibits featuring whales
[tex]\Rightarrow \dfrac{6}{15}\times 100=40\%[/tex]
Parallel lines cut by a transversal
Answer:
x=5
Step-by-step explanation:
Hello There!
The angle labeled 20x and the angle that has a measure of 80 degrees are supplementary angles meaning the sum of the two is 180
so we can create an equation to solve for x
180=80+20x
step 1 subtract 80 from each side
80 - 80 cancels out
180-80=100
100=20x
step 2 divide each side by 20
100/20=5
20x/20=x
we´re left with x=5
answer for brainlist & extra points! i can see if your answer is correct or not :)
Answer:
n=7
Step-by-step explanation:
71=10n+1
We move all terms to the left:
71-(10n+1)=0
We get rid of parentheses
-10n-1+71=0
We add all the numbers together, and all the variables
-10n+70=0
We move all terms containing n to the left, all other terms to the right
-10n=-70
n=-70/-10
n=7
Hope it helps
Answer:
The equation simplifies to n = 7.
Step-by-step explanation:
Hey there! We have an algebraic equation with the variable n. We want to solve for n. Therefore, we need to simplify the expression as much as we can.
To do this, we're going to notice we have two like terms in the equation:
711These two terms can be combined to make one term. In order to do this, we're going to check which side of the equation has two terms.
Left side → 1 termRight side → 2 termsWe are going to then check the sign of the constant. As a reminder, constants are numbers without a variable attached to them.
We see our constant is 1 on the right side and it is positive due to it being added to 10n. Therefore, we are going to do the opposite and subtract it from 71.
71 - 1 = 70This leaves us with a more simplified equation: 70 = 10n.
To make things easier, we're going to use the commutative property and switch the terms around. This will give us 10n = 70. It is easier to operate when our variable term is on the left side.
Now, we need to get our variable by itself. A coefficient is multiplying the variable by that value, so to reverse that, we must divide.
In addition to that, what we do on one side of the equation must be done on the other side of the equation.
[tex]\displaystyle \frac{10n}{10} = \frac{70}{10}[/tex]
This simplifies to n = 7, which is our final answer.
A rectangular sandbox is in the center of a larger rectangular back yard. The sand box
measures (x+6) feet long and 5x feet wide. The yard measures (6x+7) feet long and 8x
feet wide.
What is the area of the yard that is NOT apart of the sandbox?
Answer:
(43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of the yard that is not pat of the sandbox = Area of the yard - Area of the sandbox
Since both the yard and the sandbox has a rectangular shape, then;
Area of a rectangle = length x width
So that,
Area of the yard = length x width
= (6x+7) x 8x
= (48[tex]x^{2}[/tex] + 56x) [tex]ft^{2}[/tex]
Area of the sandbox = length x width
= (x+6) x 5x
= (5[tex]x^{2}[/tex] + 30x) [tex]ft^{2}[/tex]
Thus,
Area of the yard that is not pat of the sandbox = (48[tex]x^{2}[/tex] + 56x) - (5[tex]x^{2}[/tex] + 30x)
= 48[tex]x^{2}[/tex] + 56x - 5[tex]x^{2}[/tex] - 30x
= (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]
Area of the yard that is not pat of the sandbox is (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex].
Help :)))) please it would mean alot
what is the gcf (greatest common factor) of 9/45
Answer:
9: 1,3,9
45: 1, 3, 5, 9, 15, and 45
Step-by-step explanation:
So the gcf is 9
Answer:
9GCF of 9 and 45 is 9Step-by-step explanation:
The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0
We can find the GCF of 9 and 45 by the following methods.
GCF of 9 and 45 by Listing the Common Factors Method
GCF of 9 and 45 by Prime Factorization Method
please help! it’s 9:00 and i just want to be done...
Answer:
Step-by-step explanation:
1. 3/7
2. 1/5
3. 7 and 21
Answer:
1) 3/4
2) 1/5
3) 7 and 21
4) 9 tokens a day
5) 6 laps a week
A school sports team contains 68 students. 33 do field events, 40 do track events, 23 do swimming, 14 do both field and track events. If 15 students do field events only and 10 do both swimming and track events, how many students do a) swimming knly b)track events only c) all three events?
Answer:
Step-by-step explanation:
3
- 6
x= -18
3
360
f(x) =
I= 36
C
4x + 73
X = -18,36
f(-18) =
Answer:
f(−18)=−8
khan academy
r=1.2 yd area of the circle
Answer: 1.44pi
Step-by-step explanation:
Q19. Four positive whole numbers add up to 36
One of the numbers is a multiple of 7
The other three numbers are equal.
Work out the result when the four numbers are multiplied.
Answer:
Step-by-step explanation:
let the numbers be 7x,y,y,y.
7x+3y=36
3y=36-7x
[tex]y=\frac{36-7x}{3} \\let~x=3\\y=\frac{36-7 \times 3}{3} =\frac{15}{3} =5\\[/tex]
numbers are 7×3,5,5,5
or 21,5,5,5
21×5×5×5=2625
What is the total surface area??
Answer:
790 units^2
Step-by-step explanation:
Take the area of each side and add them all up. Remember each side is there twice.
Formula: SA = 2(15*5 + 15*16 + 5*16)
SA = 2(75 + 240 + 80)
SA = 2(395)
SA = 790