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3 years ago

What is the period of the function F(x) = -4sec (1/2 x)

Mathematics

1 answer:

serg [7]3 years ago

8 0

Answer:

A) 4π

Step-by-step explanation:

The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.

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Jordan fills several bags with oranges. This line plot shows the weight of each bag.

xz_007 [3.2K]

Answer:

2 1/2

Step-by-step explanation:

The heaviest bag weighs 4 pounds, and the lightest bag weighs 1 1/2.

4 can be converted to 8/2 and 1 1/2 can be converted to 3/2.

8/2-3/2=5/2.

5/2 converts to 2 and 1/2 or 2.5

4 0

3 years ago

PLEASE HELP ME ITS DUE TOMORROW!! THANKS!

leonid [27]

PART A
Change the fractions into improper fractions
pablo - rosa = 4 4/9 - 3 5/12
pablo - rosa = 40/9 - 41/12

Equalize the denominator of the fractions
I equalize them to 36. If the denominator 9 is multiplied by 4, so is the numerator. If the denominator 12 is multiplied by 3, so is the numerator.
pablo - rosa = 40/9 - 41/12
pablo - rosa = (40 × 4)/(9 × 4) - (41 × 3)/(12 × 3)
pablo - rosa = 160/36 - 123/36
pablo - rosa = 37/36

Change it to mixed fraction
pablo - rosa = 37/36
pablo - rosa = 1 1/36

Pablo has 1 1/36 quarts more than Rosa

PART B
Calculate the iced tea Pablo gave to Rosa
Change into proper fraction/improper fraction
iced tea given = 15% × 4 4/9
iced tea given = 15/100 × 40/9
iced tea given = 600/900
iced tea given = 2/3

Calculate Pablo's iced tea after giving
Pablo's = 40/9 - 2/3
Pablo's = 40/9 - (2 × 3)/(3×3)
Pablo's = 40/9 - 6/9
Pablo's = 34/9
Pablo's = 3 7/9

Calculate Rosa's iced tea
Rosa's = 41/12 + 2/3
Rosa's = 41/12 + (2 × 4)/(3 × 4)
Rosa's = 41/12 + 8/12
Rosa's = 49/12
Rosa's = 4 1/12

Pablo has 3 7/9 quarts and Rosa has 4 1/12 quarts

6 0

3 years ago

Alvin is 13 years younger than Elga. The sum of their ages is 87. What’s Elgar’s age?

givi [52]

Answer:

87-13 = 74

Step-by-step explanation:

3 0

2 years ago

Solve: (w)(3w+5)=0. Multiple answers, if any, should be separated by commas. Enter only integer(s) or fraction(s).

sp2606 [1]

Answer:

$-\frac{5}{3}$

Step-by-step explanation:

Given expression:

(w)(3w + 5) = 0

Expand the parentheses;

3w² + 5w = 0

3w² = -5w

Divide both sides by w;

3w = - 5

w = $-\frac{5}{3}$

7 0

3 years ago

Finish this 3,9,4,12,7,21,16

steposvetlana [31]

The pattern is that every 2 numbers are a pair, the first being any selected number, and the second number next to is the number times 3.

3 x 3 = 9
4 x 3 =12
7 x 3 = 21
Therefor we type 16 x 3 = 48

48 is your next number.

5 0

2 years ago