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3 years ago

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A restraunt is making a large amount of salad dressing. the recipe use 72 ounces of vinegar and 126 ounces of oil.what is the ra

tio of oil to vinegar in the salad dressing?

1 answer:

Lemur [1.5K]3 years ago

5 0

Oil to vinegar = 126:72 reduces to 7:4

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I need help on this questions. These sequences are hard.<br>

marissa [1.9K]

Step-by-step explanation:

1. "List the first 9 terms of the sequence defined recursively by

Sₙ = Sₙ₋₂ · (Sₙ₋₁ − 1)

with S₁ = 2 and S₂ = 3"

The first two terms are provided. To find the third term, substitute n = 3:

S₃ = S₃₋₂ · (S₃₋₁ − 1)

S₃ = S₁ · (S₂ − 1)

S₃ = 2 · (3 − 1)

S₃ = 4

Repeating this process, we get that the first nine terms of the sequence are:

2, 3, 4, 9, 32, 279, 8896, 2481705, 22077238784

2. "Compute the value of ∑(k=1 to 8) Sk, where Sk is the same sequence as in the previous question."

All we have to do here is add up the first 8 terms:

2 + 3 + 4 + 9 + 32 + 279 + 8896 + 2481705

= 2490930

3. "Is the sequence from question 1 arithmetic, geometric, or neither? Explain how you reach your conclusion."

If the sequence were arithmetic, it would have a common difference. But the difference between 3 and 4 is not the same difference between 4 and 9.

If the sequence were geometric, it would have a common ratio. But the ratio between 2 and 3 is not the same ratio between 3 and 4.

So the series is neither arithmetic nor geometric.

4. "Find the sum of the first 200 terms of the arithmetic sequence that begins: 12, 18, 24..."

The sum of the first n terms of an arithmetic sequence is:

S = n (a₁ + aₙ) / 2

where a₁ is the first term and aₙ is the nth term.

The nth term of an arithmetic sequence is:

aₙ = a₁ + d (n − 1)

where d is the common difference.

Here, the first term is 12, so a₁ = 12. The common difference is 18 − 12 = 6. So the 200th term is:

a₂₀₀ = 12 + 6 (200 − 1)

a₂₀₀ = 1206

The sum of the first 200 terms is:

S = 200 (12 + 1206) / 2

S = 121800

4 0

3 years ago

Ken's landscape gardening business makes odd shapes lawns the include semicircles. Find the length of the edging material needed

mihalych1998 [28]

Answer:

$L_s=7.85\ m$

Step-by-step explanation:

<u>Length Of Semicircles </u>

The length of a circle or radius r is

$L=2\pi r$

A semicircle has half this length:

$L_s=\pi r$

The radius of the flowerbed is 2.5 m, thus the length of the edging material needed to border the lawn design is

$L_s=\pi (2.5)=(3.14)(2.5)=7.85\ m$

$\boxed{L_s=7.85\ m}$

4 0

3 years ago

PLEASE HELP ME ASAP!!!

Anuta_ua [19.1K]

Answer:

\

\

\

\

\

is around about the line

6 0

3 years ago

Please please help!! I'm not sure if I have the right answer!!

lana [24]

Answer: The area of the sector formed by central angle AOB is 5/8 th of the total area of the circle.

Step-by-step explanation:

Let r be the radius of the circle having the center O,

⇒ The area of the circle = $\pi r^2$ square unit.

And, the central angle AOB = $\frac{5\pi}{4}\text{ radian}$

$=(\frac{5\pi}{4}\times \frac{180}{\pi})^{\circ}$ ( since, $\pi$ = 180° )

$=(\frac{900}{4})^{\circ}$

$=225^{\circ}$

Hence, the area of sector AOB

$=\frac{225^{\circ}}{360^{\circ}}\times \pi r^2$

$=\frac{5}{8}\times \pi r^2$ square unit.

Now,

$\frac{\text{Area of sector AOB}}{\text{Area of circle}}=\frac{\frac{5}{8}\times \pi r^2}{\pi r^2}$

$=\frac{5}{8}$

⇒ Area of sector AOB = 5/8 × Area of the circle.

Hence, the area of the sector formed by central angle AOB is 5/8 th of the total area of the circle.

6 0

3 years ago

Read 2 more answers

Hurry help ASAP!!!!!!!!!!! will give brainliest

Alex17521 [72]

The answer is C. 16 since the 3 first surveys medians are 15,16,16. The median of those 3 numbers is 16. So the answer would be C. 16

5 0

3 years ago