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3 years ago

A function f is periodic of period of period 5. If f(3)=10,f(0)=13, and f(-5)=31 then find f(13)

1 answer:

3 0

If f(x) is some function with period T, then f(x) = f(x+T) for all x in the domain.

In this case, T = 5 is the period so

f(x) = f(x+5)
f(3) = 10
f(3) = f(3+5) = f(8) = 10
f(8) = f(8+5) = f(13) = 10

Therefore, f(13) = 10

The final answer is 10

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A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose fr

quester [9]

Answer: She could create 60 platters.

Step-by-step explanation:

Given: A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose from.

Number of combinations of selecting <em>r</em> things from <em>n</em> things is given by:-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

So, the number of combinations of selecting 2 different vegetables from 6 = $^6C_2=\dfrac{6!}{2!4!}=\dfrac{6\times5}{2}=15$

Now, By Fundamental counting principle, the number of different platters she could create = (number of ways of selecting 2 different vegetables from 6) x (Number of sizes)

= 15 x 4

= 60

Hence, she could create 60 platters.

6 0

3 years ago

Find the area of circle Y. The image is represented by circle Y with a sector XYZ that has an area of 85.5 square meters. That s

pochemuha

Answer:

263.08 m²

Step-by-step explanation:

The fraction of circle area that a sector represents is proportional to the central angle.

<h3>Proportion</h3>

circle area/circle angle = sector area/sector angle

circle area / 360° = 85.5 m² / 117°

Multiplying by 360°, we have ...

circle area = (360/117)(85.5 m²) = 263.08 m²

The area of the circle is about 263.08 m².

6 0

1 year ago

What is the value of 3 to the power 2 over 3 to the power 4? A. 1 over 81 B. 1 over 27 C. 1 over 9 D. 1 over 3

rodikova [14]

One way you could solve this is to just multiply the top and bottom out so that you get 9/81, reducing it by 9/9 to get 1/9 or option C.
Another way would be to do $3^{(2-4)}$ since dividing numbers with exponents would be subtracting the bottom exponent from the top exponent, provided that the base number (in this case 3) is the same for both. For this method, you would get $3^{-2}$ , which is equal to 1/9 or .1 repeating, the same answer that you'd get with the first method.

6 0

3 years ago

Read 2 more answers

a 96 ounce container of orange juice costs $4.80. at what price should a 128 ounce container be sold in order for the unit rate

Hunter-Best [27]

4.8 / 96 = x / 120
96x = 576
x = 576/96
x = 6

check :
unit rate for 96 oz container at 4.80 = 4.80/96 = 0.05 per oz
unit rate for 120 oz container at 6.00 = 6.00/120 = 0.05 per oz

Basically ur looking for an equivalent fraction (and that is what proportions are...this will reduce to the same unit rate. So ur answer is $ 6.00

5 0

3 years ago

Jen traveled a distance of 170 miles in 2 hours and 45 min. Express her speed, in miles per hour to the nearest tenth

sweet-ann [11.9K]

Jen is going around 85mph

8 0

3 years ago