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anyanavicka [17]
2 years ago
6

⚠️I MARK BRAINLIST PIC INCLUDED ⚠️What is the initial value of the sequence?

Mathematics
1 answer:
densk [106]2 years ago
8 0

Answer:

2

Step-by-step explanation:

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A gardener has 520 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe
Bond [772]

The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

<h3>What dimensions would guarantee that the garden has the greatest possible area?</h3>

The given parameter is

Perimeter, P = 520 feet

Represent the shorter side with x and the longer side with y

One side of the garden is bordered by a river:

So the perimeter is:

P = 2x + y

Substitute P = 520

2x + y = 520

Make y the subject

y = 520 - 2x

The area is

A = xy

Substitute y = 520 - 2x in A = xy

A = x(520 - 2x)

Expand

A = 520x - 2x^2

Differentiate

A' = 520 - 4x

Set to 0

520 - 4x = 0

Rewrite as:

4x= 520

Divide by 4

x= 130

Substitute x= 130 in y = 520 - 2x

y = 520 - 2 *130

Evaluate

y = 260

The area is then calculated as:

A = xy

This gives

A = 130 * 260

Evaluate

A = 33800

Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

Read more about area at:

brainly.com/question/24487155

#SPJ1

7 0
1 year ago
Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes. If each machine makes p
melamori03 [73]

Answer: Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Identify PR rounded to the nearest tenth. Please help asap!!
kicyunya [14]

Trigonometric Functions:

S\frac{O}{H} C\frac{A}{H} T\frac{O}{A}

Sine\frac{Opposite}{Hypotenuse} Cos\frac{Adjacent}{Hypotenuse} Tan\frac{Opposite}{Adjacent}

You have the angle and the adjacent. You need to find the hypotenuse (PR). Therefore, you use cos.

Cos(26)=\frac{13}{H}

Rearrange the formula to find H (PR):

H = \frac{13}{Cos(26)}

14.463 ~ 14.5

<h2>14.5°</h2>
5 0
3 years ago
Gordon types 2,964 words in 39 minutes. Find the unit rate.​
atroni [7]

Answer:

76 words per minute

Step-by-step explanation:

2964/39=76 words per minute

8 0
2 years ago
Question: Antonio is working with a new geometric series generated by the equation A(n)=20(1.1)^n-1.His sister challenged him to
Mekhanik [1.2K]

Answer:

sum of 22nd = 1,428.05

sum of 23 to 40 is 932.53

Step-by-step explanation:

A(n)=20(1.1)^n-1

20 is the first term or a1

1.1 is the common ratio or r

A(22) = 20(1.1)^22-1

22nd term = 20(1.1)^21

22nd term = 148.00

sum of geometric sequence

formula

Sn = a1(1-r^n)/1-r

Sn = sum

a1 = first term

n = number of term

r = constant ratio

sum of 22nd = 1,428.05.

23 to 40 is 17 terms

Sequence: 23, 25.3, 27.83, 30.613, 33.6743, 37.04173, 40.745903 ...

The 17th term: 105.684378686

Sum of the first 17 terms: 932.528165548

socratic

miniwebtoolcomgeometricsequencecalculator

6 0
2 years ago
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