Answer:
n^3 + 1.
Step-by-step explanation:
Each term is 1 more than a perfect cube.
2 = 1^3 + 1
9 = 2^3 + 1
28 = 3^3 + 1
65 = 4^3 + 1
126 = 5^3 + 1
So the explicit formula is n^3 + 1.
The explicit formula that generates the given sequence is indeed aₙ = n³+1.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The nth term of the sequence can be obtained by substituting n = 1, 2, 3, ... into the expression n³+1:
a₁ = 1³+1 = 2
a₂ = 2³+1 = 9
a₃ = 3³+1 = 28
a₄ = 4³+1 = 65
a₅ = 5³+1 = 126
Hence, the explicit formula that generates the given sequence is indeed aₙ = n³+1.
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Evaluate the expression when a=5 and b= -5.
-a +8b
Purple Dog Pet Supply Inc. (PDPS) released its annual results and financial statements. Lucia is reading the summary in the business pages of today's paper. In its annual report this year PDPS reported a net income of $110,000. Last year, the company reported a retained earnings balance of $425,000, whereas this year it increased to $500,000. How much was paid out in dividends this year?
Answer:
$35,000
Step-by-step explanation:
The computation of the dividend amount is given below:
As we know that
Dividend Paid = Net income - Retained earnings for current year
where,
Retained earnings for current year = This year - last year
= $500,000 - $425,000
= $75,000
Now
Dividend Paid is
= $110,000 - $75,000
= $35,000
The bill at the restaurant was $18.79 estimate the amount to leave as a $10 tip
A. $2.00
B. $3.00
C. $9.00
D. $21.00
Your mom purchased an antique lamp for $245. The value
of the lamp increases by 3.25% each year. Write an exponential
model that gives the value y (in dollars) of the lamp t years after
she purchased it. How much is it worth after 20 years? (Round
to the nearest whole dollar)
Answer:
y=245 * 1.035^t $487.50
Step-by-step explanation:
y=245*1.035^20
y=245*1.9898
y=487.49827
What is the slope of the line that passes through the points (3, -20) and (11, 16)?
please I'm being timed
Answer:
9/2
Step-by-step explanation:
(3, -20) & (11, 16)
To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(16 - (-20)) / (11 - 3)
Simplify the parentheses.
= (36) / (8)
Simplify the fraction.
36/8
= 9/2
9/2 is the most simplified fraction. This is your slope.
Hope this helps!
Is it possible to construct a triangle with sides of lengths 40, 8, and 30?
Answer:
No, the two shorter sides must exceed the longer side.
Step-by-step explanation:
Solve the system of equations 2x - 2y = - 14 and 2x + 6y = - 6 by combining the equations.
sorrryy I don't know how to delete this so...
Step-by-step explanation:
step 1. first combine by subtraction.
step 2. 0x -8x = -8
step 3. y = 1
step 4. x = -6.
step 5. the answer is (-6, 1).
Christina wants to buy shirts that cost $17.00 each. If x represents the number of shirts Christina buys, which equation shows the amount of money (M) she will pay for the shirts?
Answer: 17x
Step-by-step explanation:
From the question, we are informed that Christina wants to buy shirts that cost $17.00 each and we are further told that x represents the number of shirts Christina buys.
The equation shows the amount of money (M) she will pay for the shirts will be gotten by multiplying the amount of the each shirt by the total number of shirts bought. This will be:
= 17 × x
M = 17x
cupcakes and points for those who answer this question for me
(the screenshot)
Answer:
2.06
Step-by-step explanation:
The original decimal is 2.0625.
Since the thousandths place is 2, we can't round up. So we can keep the 6 which is in the hundredths place giving us 2.06
What is the value of x?
x= 67°
hope that helps:)
At the market you can buy six bags of apples for $25 at the archer you can get eight bags of Apple for $35 which is the better deal
Answer:
$25
Step-by-step explanation:
The square of an add number is
A salesperson at a jewelry store earns 8% commission each week. Last week, Ali sold $450 worth of jewelry. How much did Ali make in commission? How much did the jewelry store make from her sales?
Answer:
she earned 36$ and the store earned 409.5
Step-by-step explana
8% of 450
91% of 450
help pls ;;-;; ye thxs
Answer:
You still need help? :P
Step-by-step explanation:
If f(x)=7(x-1)+8f(x)=7(x−1)+8 , what is the value of f(1)f(1) ?
Offering 30 points,, please help! will mark brainliest:)
The solution to the given linear function at f(1) when calculated gives an output value of; 8
How to Solve Linear functions?We are given the linear function represented by the equation;
f(x) = 7(x - 1) + 8
Now, to find f(1) simply means we substitute 1 for x in the given expression to obtain;
f(1) = 7(1 - 1) + 8
f(1) = 8
Thus, the solution is; f(1) = 8
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a) Un contador, que audita los libros de un almacén por departamentos, desea confirmar las
cuentas por cobrar, como se muestra en los libros de la empresa.
b) El gobierno desea determinar el nivel de desempleo en cierta ciudad, con base en la
selección del 0,5% de sus habitantes.
c) El Banco de la Republica desea seleccionar una muestra de los bancos comerciales para
analizar los efectos del aumento de la tasa de interés con respecto a los descuentos de
prestamos en los bancos comerciales
d) Un estudiante de Contaduría desea tener una idea aproximada del valor monetario del
automóvil típico que poseen los profesores de su universidad.
e) Se quiere saber el costo de la educación. Uno de los gastos que hace un estudiante es la
compra de sus libros. Se desea conocer el costo de todos los libros comprados este año
por cada estudiante de cierto colegio.
f) Un fabricante de medicamentos desea conocer la proporción de personas cuya hipertensión
(presión alta) puede ser controlada con un nuevo producto fabricado por la compañía.
Al realizar un estudio en 6.000 pacientes hipertensos, se encontró que el 80% de ellos
pudo controlar su presión con el nuevo medicamento.
g) Según una encuesta realizada a 500 adultos mayores de la comuna de Santiago, reveló
que en promedio realizan 6 visitas anuales al consultorio. En vista de los resultados el
ministerio de salud deberá aumentar los recursos en un 10%.
Answer:
Can I please help you? i need you to translate this to english for my effort
Step-by-step explanation:
HELP I NEED HELP ASAP
Answer:
C) Linear
Step-by-step explanation:
To find this, I turned the situation into an expression. The expression representing this would be: 2x + 5 (a linear function). The 2x represents how much his dad gives Joseph weekly. The 5 represents how much Joseph already has.
Hope it helps!
A cat leaps from the ground into the air with an initial vertical velocity of 11 ft/s. After how many seconds does the cat land on the ground?
Answer:
11/16 of a second
Step-by-step explanation:
3x-2.(x+1)=-2 denklemini sağlayan, x'in değeri kaçtır?
Answer:
3x - 2(x +1) =-2
3x - 2x - 2 =-2
x = - 2 +2
x = 0
hope it helps
Why do economists use market values when calculating GDP?
Answer:
Economists use market values when calculating GDP, because if they used quantity terms, they would have multiple units of measurement. Whereas, when they use market values, they have one unit of measurement for all products and services.
Step-by-step explanation:
7:5 is equivalent to...?
Answer:
6:0
Step-by-step explanation:
Thank me later :)))))))))
Solve for x. Round to the nearest tenth as needed
Step-by-step explanation:
by Pythagoras :
H²= B²+ P²
(7+x)²= x²+ 9²
49 + 14x + x² = x²+81
14x = x² -x²+81 - 49
14x = 32
x = 32/14 = 16/7 = 2.28 cm = 2.30 cm
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
workout the value of 2^0
Answer:
It just equals to 2
Step-by-step explanation:
Think of it as 2^1!
1.
The value of anything that has an exponent of 0 is always 1
0.75 divided by 38.652
Answer:
0.019404
Step-by-step explanation:
0.75/38.652 is 0.019404.
Answer:
Divide 0.75 by 38.652 =
0.01940391
and
Divide 38.652 by 0.75 =
51.536
Step-by-step explanation:
y/-9=1/18 solve for y
Answer:
y=-1/2
Step-by-step explanation:
in sandy religious, a doodlebug digs a cone shaped pit to trap other insects. A typical pit has a radius of 1 inch and depth of 2 inches approximately how much sand would a doodle bug move to create the pit?
( PLEASE HELP ASAP)
Answer:
its c
Step-by-step explanation:
i took the test and got 100
Determine whether the second polynomial is a factor of the first.
6x2 + 5x +54; x-4
Select the correct choice below and fill in the answer box to complete your choice.
O A. No, because the polynomial 6x² + 5x + 54 evaluated at 4 is equal to
OB. Yes, because the polynomial 6x + 5x +54 evaluated at - 4 is equal to
OC. No, because the polynomial 6x + 5x +54 evaluated at - 4 is equal to
OD. Yes, because the polynomial 6x + 5x + 54 evaluated at 4 is equal to
Answer:
No, because the polynomial 6x² + 5x + 54 evaluated at 4 is equal to 170.
Step-by-step explanation:
A polynomial should have a factor (let's say a) that would make the polynomial equal to zero when we substitute that factor (a) into the polynomial.
Can anyone please help me this these questions:
1. $.50 is what percent of $2.00
2. $.02 is what percent of $2.00
3. $2.00 is what percent of two dollars
Answer:
1.
[tex]25\%[/tex]
2.
[tex].04\%[/tex]
3.
[tex]100\%[/tex]
Answer:
1 is 25% because .50 going into 2 00 4 times or 35%
2 is 10% because 02. is 10% of 2.00
4 is 100% because its all of the 2.00
Chad has a rope that is 24 yards long. How many pieces of rope measuring 4/7 of a yard can he divide his rope into?
Answer:
42
Step-by-step explanation:
Chad has a rope that is 24 meters long
He wants to divide the rope so each piece will be 4/7 yards
= 24÷ 4/7
= 24× 7/4
= 168/4
= 42
Hence he can divide the rope into 42 pieces
helpppp meeee plz...
Answer:
3 coefficient po
Step-by-step explanation:
sana maka tulong