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3 years ago

Nth term of 1 8 15 22 29

2 answers:

8 0

This is an arithmetic sequence because each term is 7 greater than the previous term, so 7 is what is called the common difference...

Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=first term, d=common difference, n=term number.

We know a=1 and d=7 so:

a(n)=1+7(n-1)

a(n)=1+7n-7

a(n)=7n-6

The above is the "rule" for the nth term.

Karolina [17]3 years ago

7 0

This is an aritmetic sequence where the terms increase by 7
So the common difference d = 7 . The first term is 1

nth term = a1 + (n-1)d
= 1 + (n-1)7
= 7n - 6

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30 POINTS HELP ANSWER ASAP AND EXPLAIN STEP BY STEP HOW TO SOLVE The two non-parallel sides of an isosceles trapezoid are each 7

weeeeeb [17]

See diagram
I wrote that the degrees are 70 each because it is isocolese and 140/2=70

a.
to solve for the diagonal, I'm going to use trig to find the height and the base then use pythagorean theorem to find the diagonal

so
see I've drawn an auxiliry line to make a right triangle on the leftmost side
so
we want to find the height and base
sin(70°)=h/7
so 7sin(70°)=h≈6.57785

cos(70°)=base/7
so 7cos(70°)=base≈2.39414

now
the entire long base is 22, so that big triangle with the diagonal as the hyptonuse is 22-2.39414=19.6059
use pythagorean theorem, like 6.57785²+19.6059²=diagonal²
we get that the diagonal is about 20.68ft

b.
we got that the base was 7cos(70°)
2 of those bases so 22-14cos(70°)=17.2117ft or rounded 17.21ft

a. 20.68ft
b. 17.21ft

3 0

4 years ago

Read 2 more answers

The length of the football field is 10x+10 and the width is 4x+20. Write a polynomial that represents the are of the football fi

Maurinko [17]

The solution is in the attachment

7 0

4 years ago

Formulate the situation as a system of inequalities. (Let x represent the number of goats the farmer can raise and y represent t

Firdavs [7]

Answer: He can raise up to 40 goats and 100 llamas.

Step-by-step explanation:

Hi, to answer this question we have to write system of equations with the information given:

The space each goat needs (4) multiplied by the number of goats (x); plus The space each llama needs (10) multiplied by the number of llamas must be less or equal to the acre land available (800)

4x +10y ≤ 800 (acres)

The amount of veterinary care (in $) each goat needs (110) multiplied by the number of goats (x); plus The amount of veterinary care each llama needs (88) multiplied by the number of llamas (y)must be less or equal to the Rancher's budget.(14520)

110x +88y ≤ 14,520 (cost)

Multiplying the first equation by 27.5, and subtracting the second equation to the first one:

110x + 275y ≤22,000

110x +88y ≤ 14,520

____________

187y ≤ 7480

y ≤ 7480/187

y ≤ 40

Replacing y in the first equation

4x +10(40) ≤ 800

4x +400 ≤ 800

4x ≤ 800-400

4x ≤ 400

x ≤ 400/4

x ≤ 100

5 0

3 years ago

Concider the functions: f(x)= (2/3)x and g(x)=(2/3)x-3+2. Which statement is true regarding the vertical and horizontal translat

ioda

The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.

<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>

For a given function f(x), we can write a vertical translation of n units as:

g(x) = f(x) + n

If n < 0, the translation is downwards.
if n > 0, the translation is upwards.

And a horizontal translation of n units as:

g(x) = f(x + n).

if n > 0, the translation is to the left.
if n < 0, the translation is to the right.

Here we have:

f(x) = (2/3)*x

g(x) = (2/3)*(x - 3) + 2

By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.

So the correct option is B.

If you want to learn more about translations:

brainly.com/question/24850937

#SPJ1

4 0

2 years ago

600% of what number is 5,580

tiny-mole [99]

Answer:

930

Step-by-step explanation:

600% of x = 5580

6x = 5580

x = 5580/6

x = 930

7 0

3 years ago