Write the explicit formula for
-1,-3,-9,-27,-81...

Answers

Answer 1

Answer:

[tex]- \frac{1}{3} * 3^n[/tex]

Step-by-step explanation:

This is a geometric sequence/progression

Therefore, we use the formula [tex]a_{n} = \frac{a_{1} * r^n}{r}[/tex]

Where [tex]a_{1}[/tex] [tex]=[/tex] [tex]-1[/tex],

and [tex]r = 3[/tex]

[tex]a_{n} = \frac{-1 * 3^n}{3}[/tex]

[tex]a_{n} = -\frac{1}{3} * 3^n[/tex]


Related Questions

Simplify the expression to a + bi form:
A (-10 – 6i) +(2+i)

What is the answer to this?

Answers

Answer:  -8 -5i

Step-by-step explanation:

(-10 – 6i) +(2+i)

-10 – 6i +2 + i

(-10 +2) + (i – 6i)

-8 -5i

A sink can hold 10 gallons of water.how many quarts of water can the sink hold?

Answers

Answer:

40 quarts

Step-by-step explanation:

one gallon is 4 quarts, so ten gallons would be 40.

4(quarts) x 10(gallons) = 40(number of quarts in the 10 gallons)

4 quarts is in a gallon so just take 4x 10 and its 40 quarts

What force is required to accelerate a car at a rate of 5 m/s2 if the car has a mass of 35.7 kg?Force Mass Acceleration




30.7 N


7.14 N




178.5 N




0.14 N

Answers

Answer:

178.5 N

Step-by-step explanation:

force = mass *  acceleration

f = 35.7 * 5

f = 178.5

178.5 Newtons

4. Teanna drove 366 miles in 6 hours. How many miles did she drive in one hour? ​

Answers

Answer:

61 miles in one hour

Step-by-step explanation:

366/6=

6*6=36

366/6=06

6*1=6

366/6=061 miles per hour

Answer: 61 mph

Step-by-step explanation: 366miles/ 6 total hours= 61 miles driven each hour.

What is the answer?? I need help!!

NO LINKS!!!

Answers

Function

Use "vertical line test"

searched it if you don't know

Step-by-step explanation:

yes, it is a function.

every value of x has exactly one associated (result) value of y.

that several different x have the same result value y, is not a problem.

a problem would be, if there were at least one value of x that would have multiple possible result values. then it would not be a function.

Which equation represents a line which is perpendicular to the line 5x+2y=12?
A. y = -5/2x + 2
B. y = -2/5x - 4
C. y = 5/2x + 3
D. y = 2/5x - 3

Answers

The answer your looking for is Y=2/5x -3 or D

A cube has volume 1331cm3. Calculate the length of one edge of the cube.

Answers

Answer:

answer=11 cm.

Step-by-step explanation:

Step-by-step explanation:

V = Volume of cube

a = edge

Formula of volume of cube:

V = a³

[tex]1331 = {a}^{3} \\ \sqrt[3]{1331} = a \\ a = 11[/tex]

The length of each edge is 11 cm.

Lines A and B have
the same y-intercept,
but different slopes.
Both slopes are
negative.

PARALLEL PERPENDICULAR OR NEITHER

Answers

Answer:

Neither

Step-by-step explanation:

Since line a and b have different slope, it isnt parallel, and since the slopes both negative, its not an opposite reciprocal, so that isnt perpendicular, thus leading to neither

Please need help 100 points

Answers

Answer:

(29/37)-(48/37i)

Step-by-step explanation:

Use complex arithmetic rule:

a+bi/c+di = [(c-di)(a+bi)/(c-di)(c+di)] =[(ac+bd)+(bc-ad)i]/c^2+d^2

To get: (29-48i)/37

Then rewrite it in standard complex form to get your answer.

Hope that helps!

(29/37)-(48/37i) is the answer !!

What is the equation of the line that passes through the point (7,-6)(7,−6) and has a slope of -2−2?

Answers

Is the slope really -2-2? Or is that a miss type?

A Create a linear expression

Answers

Answer:

(2x+A)(2x+B) = 4x2 + (2B+ 2A)x + AB. Trial and error gives the factorization 4x2 - 3x - 10 - (4x+5)(x- 2) .Step-by-step explanation:

Ali box 3 1\4 yards of blue ribbon for a craft project she bought 2 2\3 yards of green ribbon how much ribbon does she have in total to complete her project?

Answers

Answer:

5 /12

Step-by-step explanation:

3) Abhasra and Lisa each improved their yards by planting rose bushes and geraniums. They
bought their supplies from the same store. Abhasra spent $219 on 30 rose bushes and 11
geraniums. Lisa spent $420 on 6 rose bushes and 44 geraniums. Find the cost of one rose bush
and the cost of one geranium.

(EXPLAIN HOW DONE)

Answers

Answer:

Step-by-step explanation:

Let R and G stand for the prices of rose bushes and geraniums, respectively.

We are told that:

Abhasra:  30R + 11G = $219

Lisa:  6R + 44G = $420

Two equations and two unknowns.  Eliminate one of the variables by substitution:

Let's start with

6R + 44G = $420

and try to eliminate the G.  We note that the first equation,  30R + 11G = $219, can be multiplied by 4 to bring the geraniums up to the same as in the second equation:

6R + 44G = $420

4*(30R + 11G = $219) = 120R + 44G = 876

Now subtract this equation from the first:

   6R + 44G =  $420

-120R - 44G = -$876

 -114R           =  -456

  R = 4:   Rose bushes are $4 each.

Now use R= $4 in either equation to find G:

6R + 44G =  $420

6($4) + 44G =  $420

 $24 + 44G =  $420

44G = $396

    G = :  Geraniums are $9.00 each.

Math may be hard but you gotta learn to get smarter

Answers

Very true, math is still very difficult tho

write a funny statement

Answers

Answer:

haaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

2x-4>-14 or 2x-4\leq10

Answers

Answer:

x>0

Step-by-step explanation:

2x−4>−142x−4

Multiplica −14 y 2 para obtener −28.

2x−4>−28x−4

Agrega 28x a ambos lados.

2x−4+28x>−4

Combina 2x y 28x para obtener 30x.

30x−4>−4

Agrega 4 a ambos lados.

30x>−4+4

Suma −4 y 4 para obtener 0.

30x>0

El producto de dos números es >0 si ambos son >0 o <0. Puesto que 30>0, x debe ser >0.

x>0

order the values from least to greatest​

Answers

Answer:

1. minus 7 by 8

2.minus 3 by 4

3. minus 1 by 2

4. 5 by 8

5.1 by 4

Omg how greasy and disgusting is that screen

What is a limit in calculation.

Answers

Answer:

I think this was what you was looking for; The limit is the value of the function approaches as the input approaches mentioned value.  Limits are used as a way of making approximations used in the calculation as close as possible to the actual value of the quantity. Let us understand the limit formula in detail in the following section.

Step-by-step explanation:

A house was sold for $64,900. If the selling price represents a 25% profit over the purchase price, how many dollars were in the purchase price of the house?

Answers

48,675£ because you have to times 64,900><0.75= 48,675

If the house is sold with a 25% profit then the purchase price of the house will be equal to $48,675.

What is the Percentage?

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the data provided in the question,

The selling price of the house = $64,900

Profit percent = 25%

The profit price of the house after selling,

64900 × 25/100

= $16225

Now,

The purchase price of the house,

$64900 - $16225 = $48675.

To know more about Percentage:

https://brainly.com/question/29306119

#SPJ2

The function f(x) = RootIndex 3 StartRoot x EndRoot is reflected over the x-axis to create the graph of g(x) = Negative RootIndex 3 StartRoot x EndRoot. Which is the graph of g(x)? On a coordinate plane, a cube root function goes through (negative 2, negative 8), has an inflection point at (0, 0), and goes through (2, 8). On a coordinate plane, a cube root function goes through (negative 2, 8), has an inflection point at (0, 0), and goes through (2, negative 8). On a coordinate plane, a cube root function goes through (negative 8, 2), has an inflection point at (0, 0), and goes through (8, negative 2). On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).

Answers

Answer: On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).

Step-by-step explanat hope that help

The function is

[tex]\\ \sf\longmapsto f(x)=\sqrt[3]{x}[/tex]

Graph attached

Additional questions!!! Please help, due today!!!

Answers

Answer:

A.

Step-by-step explanation:

?

What is considered an exponential monthly growth rate.

Answers

The Answer equals 1.9%

Barbara plotted an elevation below sea level on a number line and labeled it A. She plotted Point B above 0, a distance that is exactly as far from 0 as Point A is. Explain what you know about Point B.

Answers

Answer:

B is twice as far away from point A as it is from point 0

I hope this helps.

What is four thirds -2/5

Answers

Answer:

14/15

Step-by-step explanation:

You need to find the Least Common Multiple for the denominator to add. LCM of 3 and 5 would be 15. You multiply 5 to 3 to get 15 and 3 to 5 to get 15. You would multiply the numerators by the same number. 4x5=20 and 2x3=6. 20/15-6/15=14/15

at a basketball game a vendor sold a combined total of 116 sodas and hotdogs. The number of hotdogs sold were 36 less than the number of sodas sold find the number of sodas sold and the number of hotdogs sold.

Answers

Answer:  76 Sodas and 40 hot dogs

Step-by-step explanation:

Let S and H represent the numbers of Sodas and Hot dogs.

We are told that:

S + H = 116

We also see that:

H = S - 36

==

Take the second equation's value for H (S - 36) and use it in the first:

S + H = 116

S + (S-36) = 116

2S = 152

S = 76

and therefore H = S - 36, or 40.

76 + 40 = 116  [Checks]

76 Sodas and 40 hot dogs

Would it be easier for Dana from problem 3-68 to find a single 12-foot board of clear wood rather than four clear 3-foot pieces? Use a simulation to estimate the average number of 12-foot boards he would have to consider.

Answers

Yes Dana is correct because he is black and it’s Black Lives Matter month

A piano teacher gives lessons that are each Three-fourths hour long. How many piano lessons can the teacher fit into a 12-hour work day? Assume no breaks are taken in the 12 hour period.
6
9
11
16

Answers

Answer:

26.6666666667

Step-by-step explanation:

3/4 of a hour is 45 minutes 12 ÷ by 0.45 would equal 26.6666666667

Write a quadratic function in standard form with axis of symmetry x=-5 and y -intercept 3 .

Answers

Answer:

follow the statement below

Step-by-step explanation:

The question you presented here has multiple (un-limited) solutions unless you have another condition to solve for a single solution.

Equation: y = ax² + bx + c

y intercept (0 , 3): c = 3

axis of symmetry x=-5, therefore a corresponding point (-10,3) on the curve

3 = a*(-10)² + b*(-10) + 3

100a - 10b = 0

b = 10a  .... any pair like a=0.5 b=5; a=1 b=10 0r a=2 b=20 ..... all fit the function

y = 0.5x² + 5x +3

y = x² + 10x + 3

y = 2x² + 20x +3

........................

MP Construct Arguments Raul finds a way to divide
48 building blocks into 6 equal groups. Jerry finds a
way to divide 48 building blocks into 8 equal groups.
Whose way has the greater number of building blocks
in each group? Explain.

Answers

Answer:

Raul

Step-by-step explanation:

Since 8 groups of building blocks has a smaller amount than 6 equal groups of building blocks, so Raul has more blocks in each group

Who Is Nathan Drake?

Answers

Answer:

he's the guy from uncharted

Answer: Nathan Drake is a fictional character and the protagonist of the Uncharted video game series, developed by Naughty Dog.

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