Find the sum of a finite arithmetic sequence from n=1 to n=5 using the expression -3(4)^n-1

Answer:

89

Step-by-step explanation:

Based on the clues given, Meg's mailbox number is equal to 89.

The clues adopted by Meg.

In this scenario, the three clues that were adopted by Meg include:

The number is greater than 40.

The number is NOT on a red mailbox.

The number has more ones than tens.

From the image, the numbers that are greater than 40 include:

Green Mail box = 60.

Red Mail Box = 58.

Blue Mail Box = 89.

Red Mail Box = 73.

From the image, the number that is not on a red mailbox are:

Green Mail box = 60.

Blue Mail Box = 89.

From the image, the number that has more ones than tens is:

Blue Mail Box = 89.

By using place value, 8 represents tens while 9 represents ones (unit). Therefore, Meg's mailbox number is equal to 89.

The geometric series with 4th term as 10 and 7th term as 80 has the sum of the first tenth terms as 1278.75.

aₙ = arⁿ⁻¹

where

Therefore,

10 = ar³

80 = ar⁶

Hence,

a = 10 / r³

80 = (10 / r₃) r⁶

80 = 10r³

r³ = 80 / 10

r = ∛8

r = 2

a = 10 / 2³

a = 10 / 8 = 5 / 4

The sum of 10 terms can be calculated as follows:

Sₙ = a(rⁿ - 1) / r - 1

Sₙ = 5 / 4 (2¹⁰ - 1) / 2 - 1

Sₙ = 5 / 4 (1024 - 1) / 1

Sₙ = 1.25(1023)

Sₙ = 1278.75

learn more on geometric series here: https://brainly.com/question/13592208

Answer:

[tex]2y-3[/tex]

Step-by-step explanation:

It is saying to subtract 3 from the product of 2 and the variable, y.

Answer:

(-9, -6)

Step-by-step explanation:

Answer:

Yes, the expressions are equivalent.

Step-by-step explanation:

Expanding (3x + 9)(x + 2) gives us [tex]3x^2 + 15x + 18[/tex] which is the same as when you expand (3x + 6)(x + 3).

Answer:

(3x+9)(x+2)

step:3xx+3x2+9x+9x2

3x2+6x+9x+9x2

answer is 3x2+15x+18

step:3xx+3x3+6x+6x3

3x2+6x+6x3

answer is 3x2+15x+18

Step-by-step explanation:

#Carry on learning#

Answer:

6.6072 >6.6>6.09>6.009

Step-by-step explanation:

I believe that is it

Answer:

-7

32

Step-by-step explanation:

a)9-16=-7

b)4-10=-6

2∆-6

36-4

32

Answer:

4 5/6

Step-by-step explanation:

10 1/2 - 5 2/3

5 3/6- 4/6

4 9/6-4/6

4 5/6

Answer:

~Male Y/n here~ I believe your y-intercept would be D. -5.

(Hope this helps!)

Answer:

D

Step-by-step explanation:

IM RLY SORRY IF THIS IS WRONG IM DOING THIS FORM MEMORY

so I'm pretty sure u the arch equals twice the angle

so pi/2*2 = pi so D

hope it helppsss

trying not to dieT-T

Answer:

There are 2 options:

Step-by-step explanation:

That's a rectangular piece, therefore let's consider the width to be x and the length to be y.

A = width * length

1) A = x * y = 1,984 cm^2

P = 2 * (width) + 2 * (length)

2) P = 2x + 2y = 188 cm

Isolate x or y in one of the equations.

xy = 1,984 cm^2

y = 1,984 cm^2 / x

Now plug it in the second equation.

2x + 2y = 188 cm

2x + 2 * (1,984 / x) = 188

Now we have only one variable. Now just solve it alegebraically.

2x + (3,968 / x) = 188

Multiply both sides by x in order to get rid of the fraction.

[tex]2x^{2}[/tex] + 3968 = 188 x

Substract both sides by 188 x

2x^2 + 3968 - 188x = 0

Now divide by 2 to make the equation simpler.

x^2 - 94x + 1984 = 0

use the quadratic formula:

[tex]\frac{94 + \sqrt{(-94)^2 - 4(1)(1984)} }{2(1)} = 62\\\frac{94 - \sqrt{(-94)^2 - 4(1)(1984)} }{2(1)} = 32[/tex]    

  [tex]x1 = \frac{-b + \sqrt{b^2 - 4ac} }{2a} \\x2 = \frac{-b - \sqrt{b^2 - 4ac} }{2a}[/tex]

x is either 62 or 32.

let's find y:

y = 1,984 / x

y = 1,984 / 62 = 32

y = 1,984 / 32 = 62

There are 2 options:

Hello!

Let's simplify the expression

6-2x+5+4x

Combine like terms:

6+5-2x+4x

11+2x

And that's the final answer, because 11 and 2x are not like terms (and that's Tyler's error. He shouldn't have combined 11 and 2x.

This is the correct way to simplify:

6+5-2x+4x

11+2x

Hope everything is clear.

Let me know if you have any questions!

#NeverGiveUp

:-)

Answer:13.1

Step-by-step explanation:

Area equation:S=[tex]S=\frac{1}{2} ab sinθ[/tex]

Step-by-step explanation:

The number 1 is a common factor of C) all whole numbers

Answer:

C

Step-by-step explanation:

6 / 1 = 6. 5 / 1 = 5. every whole number is divisble by 1, even prime numbers.

Answer:

017012

Step-by-step explanation:

Domain:

0≤x≤17

Range:

0≤y≤12

Step-by-step explanation:

I guess your problem is understanding what is domain and range.

well, the domain is the interval or set of valid values for x for a function or curve.

the range is the interval or set of valid values for y (or function results) for a function or curve.

our function or curve here is the graph of a throw of a basketball.

that throw went continuously from 0 ft to 17 ft distance from the player.

and the height of the ball went continuously from 6 ft to 12 ft and then all the way down to 0 ft (on the floor).

as the graph shows : distance (or horizontal displacement) is our "x".

and the height is our "y".

so, the domain is

0 <= x <= 17

and the range is

0 <= y <= 12

and the code is then

0 17 0 12

A N A K

Answer:

 [tex]5\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\boxed{a^{2} -b^{2} = (a +b)(a -b)}[/tex]

9x² -9y²= 72

Factorise:

9(x² -y²)= 72

Divide both sides by 9:

x² -y²= 8

(x +y)(x -y)= 8

Given that x -y= 1.5,

(x +y)(1.5)= 8

Divide both sides by 1.5:

x +y= [tex]5\frac{1}{3}[/tex]

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

Answer:

D: 2t

Step-by-step explanation:

a coefficient next to a variable is an automatic multiplication equation

The solution is Option D.

The number of cups of diced onions A to the number of cups of chopped tomatoes t is represented by the equation A = 2t

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

A = total number of cups of diced onions

Let the total number of cups of chopped tomatoes be = t

Now , the  recipe requires twice as many cups of chopped tomatoes as diced onions

Substituting the values in the equation , we get

A = 2t

where A = number of cups of diced onions

t = number of cups of chopped tomatoes

Therefore , the value of A is 2t

Hence ,

The equation will be A = 2t where t is the number of cups of  tomatoes

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

$2821.50

Step-by-step explanation:

value = 2700 (deposit) x 0.003 (rate) x 15 (time) + 2700

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2700\\ r=rate\to 0.3\%\to \frac{0.3}{100}\dotfill &0.003\\ t=years\dotfill &15 \end{cases} \\\\\\ A=2700[1+(0.003)(15)]\implies A=2700(1.045)\implies A=2821.5[/tex]

Using a system of equations, it is found that the equation that could be used to find the value of b is given by:

3×4−8=b

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

Fatima has 3 packs of batteries. Each pack contains 4 batteries, hence:

b = 3 x 4

She gives her brother 8 batteries to put in his toy robot, hence:

b = 3 x 4 - 8

Which means that the first expression is correct.

More can be learned about a system of equations at https://brainly.com/question/24342899

Using linear function concepts, it is found that the correct statements are given by:

1. The slope is positive.

3. every additional hat produced results in a cost increase of $.60.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem:

Hence statements 1 and 3 are correct.

More can be learned about linear function concepts at https://brainly.com/question/24808124

Answer:

A. The slope is positive.

C. every additional hat produced results in a cost increase of $.60.Step-by-step explanation:

E. Before producing any hats, the manufacturing costs are about $100.00.

Answer:  49.44807

Round that however you need to. Unfortunately the rounding instructions on the screenshot are cut off, so I cannot see what that part says.

=======================================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(22) = h/132

h = 132*sin(22)

h = 49.44807

Answer:

68.75 Percent

Step-by-step explanation:

11/16 =0.6875

0.6875 into percent is 68.75

[tex]y \propto \dfrac 1x\\\\\implies y = \dfrac kx \\\\\implies \dfrac 14 = \dfrac k{8}\\\\\implies k=2\\\\\text{When}~ x =-4\\\\y = \dfrac{k}{x} = \dfrac{2}{-4}= -\dfrac 12[/tex]

Answer:

B

Step-by-step explanation:

Answer:

x=-2 or x=14

Step-by-step explanation:

since it's absolute value, this actually has two equations:

x-6=8

and

x-6=-8

we solve x-6=8 by adding 6 to both sides which equals x=14

we solve x-6=-8 by also adding 6 to both sides which equals x= -8+6= -2

I hope this helps! and please mark brainliest!