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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

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Answer:

(x+1, y-1)

Step-by-step explanation:

the original logo starts at 1in on the x-axis, the shadow is on 1.5in on the x-axis. menaing it moved 1 square to the right.

which means x+1

while the shadow went down 1 square on the y-axis

this means y-1

The mathematical word describing  both 27x and 6x in the expression  is "addition" or "sum"

The mathematical expression is 27x + 6x.

Mathematical expression are combinations of numbers and variables ordered with operations.

Mathematical expression is a combination of numbers, variables, operators (such as addition, subtraction, multiplication or division etc.).

For the given case, the terms are 27x and 6x and the expression formed from them is 27x + 6x.

This simply implies both terms are summed together to give the expression 27x + 6x.

Therefore, the mathematical word describing  both 27x and 6x in the expression  is "addition" or "sum"

learn more on mathematical expression here: https://brainly.com/question/26848264

Answer:

-7

32

Step-by-step explanation:

a)9-16=-7

b)4-10=-6

2∆-6

36-4

32

Answer:13.1

Step-by-step explanation:

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

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]

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.

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Work Shown:

sin(angle) = opposite/hypotenuse

sin(22) = h/132

h = 132*sin(22)

h = 49.44807

Answer:

F(n) = 6n

Step-by-step explanation:

An explicit sequence goes by the pattern: A0 + (n-1)d, where A0 is the starting term, n is the nth term in the sequence, and d is the common difference. The explicit formula for this sequence is F(n) = 6 + 6(n-1), or 6n

Answer:

68.75 Percent

Step-by-step explanation:

11/16 =0.6875

0.6875 into percent is 68.75

Answer:

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

(Hope this helps!)

Answer:

3/10 or 0.3

Step-by-step explanation:

3 times 1 and you'll get 3 over 10, or in decimal it will be 0.3

Answer:

En la Imagen adjunta

Step-by-step explanation:

Toca Para Abrir Imagen

Espero haberte ayudado si es así dame Corona

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]

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:

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!

Answer:

  a = √28

Step-by-step explanation:

The Pythagorean theorem tells you the area of the large square is the sum of the areas of the smaller two squares.

  8² = a² +6²

  a² = 8² -6² = 64 -36 = 28

Taking the square root, we find ...

  a = √28

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

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

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:

6.6072 >6.6>6.09>6.009

Step-by-step explanation:

I believe that is it

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#

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:

[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: