A bottlenose dolphin can swim 2.68 meters per second. Find the dolphin speed in miles per hour

Answer:

dependent variable = t

independent variable = p

Step-by-step explanation:

Hi, in the equation t=12p+12, p is the independent variable, because is an input value.

t is the dependent variable, because is the output value, it depends of the input value.

For example if p =1, t=24

t(1) =12(1) +12

t(1) = 12+12 =24

But if p=0; t=12

t (0) = 12(0) +12 =12

We can see how the value of t varies as the value of p changes.

in thers of the statement, the total cost  of the meal (t) depends on the tip percentage (p).

Answer:

a) 1/9 quarts

b) 1/3 quarts

Step-by-step explanation:

Gordon pours 4/9 quarts of milk from a pitcher equally into 4 mugs.

a. Find the amount of milk in each mug.

To solve the first part of this question, we can simply use the idea of proportion;

Let x be the amount of milk in 1 mug

4/9  quarts  =   4 mugs

   x               =    1  mugs

We will cross multiply

4x  =  4/9

To get the value of x, we will divide both-side of the equation by 4

4x/ 4  =   4/9 ÷  4

(on the left hand- side of the equation, 4 will divide 4 leaving us with x)

x  =  4/9 ÷  4

( This ÷4 can be change to become × 1/4)

x  =   4/9   ×   1/4

(The 4 at the numerator will cancel out the 4 at the denominator leaving us with 1/9)

x  =  1/9

Therefore the amount  of milk in  each mug is 1/9 quart

b.Find the amount of milk in 3 mugs

For this second part of the question, we can also use proportion to solve;

Let x be the amount of milk in 3 mugs

4/9 quarts = 4 mugs

 x               = 3 mugs

Cross multiply

4x  =   3  ×  4/9

(At the right-hand side of this equation 3 can divide 9 which will give us 3 )

4x   =   1 × 4 /3

4x  = 4/3

We can now divide both-side of the equation by 4 to get the value of x

4x/4  = 4/3  ÷  4

(On the left hand side of the equation, 4 will cancel out 4 leaving us with just x and on the right-hand side of the equation ÷  4 can be changed to ×1/4)

x   =  4/3  ×  1/4

(4 will cancel 4 leaving us with  1/3)

x =  1/3

Therefore the amount of milk in 3 mugs is 1/3 quarts

Answer:

cosine, amplitude=2 and period of 2pi/3 is shown in figure 1.

Step-by-step explanation:

COSINE FUNCTON

Cos function (or cosine function) in a triangle is the ratio of the adjacent side to that of the hypotenuse.

cosine α = Adjacent Side/Hypotenuse

Since its amplitude is 2 .  So the value of cosine function at COSIN 0 will be 2 and its period will be 2pi/3.

The above described situation is rightly depicted in figure 1.

To know more about the cosine function click here

brainly.com/question/15161326

#SPJ2

Answer:

# 1

Step-by-step explanation:

It is number one because if the Period is ( 2pi /3 ) them the middle of the function should be ( pi/3 ) and since the function is a cosine function, the graph should start at the top (2) instead of at 0.

Hope I helped!!