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marshall27 [118]
3 years ago
14

the width of a rectangle is 2 units less than the length. the area of the rectangle is 63 units.what is the length, in units, of

the rectangle
Mathematics
1 answer:
Mice21 [21]3 years ago
3 0

Answer: 9

Step-by-step explanation:

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An arithmetic sequence is defined by the general term tn = -5 + (n - 1)78, where n ∈N and n ≥ 1. What is the recursive formula o
Gnoma [55]

Answer:

C

Step-by-step explanation:

In general for arithmetic sequences, recursive formulas are of the form

aₙ = aₙ₋₁ + d,

and the explicit formula (like tₙ in your problem), are of the form

aₙ = a₁ + (n - 1)d,

where d is the common difference. So converting between the two of these isn't so bad. In this case, your problem wants you to have an idea of what t₁ is (well, every answer says it's -5, so there you are) and what tₙ₊₁ is. Using the formulas above and your given tₙ = -5 + (n - 1)78, we can see that the common difference is 78, so no matter what we get ourselves into, the constant being added on at the end should be 78. That automatically throws out answer choice D.

But to narrow it down between the rest of them, you want to use the general form for the recursive formula and substitute (n + 1) for every instance of n. This will let you find tₙ₊₁ to match the requirements of your answer choices. So

tₙ₊₁ = t₍ₙ₊₁₎₋₁ + d ... Simplify the subscript

tₙ₊₁ = tₙ + d

Therefore, your formula for tₙ₊₁ = tₙ + 78, which is answer choice C.

6 0
3 years ago
Read 2 more answers
Jasmine Is organizing a carnival with games Booths she needs three volunteers per booth there are 16 booth if 62 people signed u
mr_godi [17]

14 volunteers will not be able to help.

Step-by-step explanation:

According to given statement;

One booth requires 3 Volunteers.

No. of booths = 16

Given number of volunteers = 62

We will multiply total number of booths with 3 to find the number of volunteers required.

Volunteers required = No. of booths x 3

Volunteers required = 16*3\\

Volunteers required = 48

Subtract the required volunteers from total volunteers;

62-48=14

14 volunteers will not be able to help.

Keywords: Subtraction, Multiplication.

Learn more about subtraction at:

  • brainly.com/question/1900154
  • brainly.com/question/1929680

#LearnwithBrainly

4 0
3 years ago
What is the slope of the line through the given points:
telo118 [61]

Answer: slope is 1

equation: 1x-2 or x-2

I hope this is good enough:

3 0
3 years ago
Read 2 more answers
3. Here is a diagram of a softball field:
Crank

a. Length of the fence around the field = perimeter of quarter circle = 892.7 ft.

b. The area of the outfield is about 39,584 sq. ft..

<h3>What is the Perimeter of a Quarter Circle?</h3>

Perimeter of circle = 2πr

Perimeter of a quarter circle = 2r + 1/4(2πr).

a. The length of the fence around the field = perimeter of the quarter circle fence

= 2r + 1/4(2πr).

r = 250 ft

Plug in the value

The length of the fence around the field = 2(250) + 1/4(2 × π × 250)

= 892.7 ft.

b. Size of the outfield = area of the full field (quarter circle) - area of the infield (cicle)

= 1/4(πR²) - πr²

R = radius of the full field = 250 ft

r = radius of the infield = 110/2 = 55 ft

Plug in the values

Size of the outfield = 1/4(π × 250²) - π × 55²

= 49,087 - 9,503

= 39,584 sq. ft.

Learn more about perimeter of quarter circle on:

brainly.com/question/15976233

4 0
2 years ago
Determine if the<br> following equation is<br> linear or non-linear:<br> y = [x] - 1
schepotkina [342]

Answer:

I believe this equation is Linear

6 0
3 years ago
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