In an aquarium 2/5 of the fish or surgeonfish. Of these, 3/4 are yellow tangs. what fraction of all fish in the aquarium or yellow tangs

Answer:

[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]

Step-by-step explanation:

we want to figure out the equation of a sine function that has the following characteristics.

the standard form of sine function is given by

[tex] \displaystyle y = a\sin(bx-c)+d[/tex]

where:

Finding a and phase shift:

a and c is simply given which is

finding b:

using the equation we acquire:

[tex]\dfrac{2\pi}{b}=9\pi[/tex]

solving the equation for b,we obtain:

b=2/9

finding d:

Since d Isn't mentioned, we would assume it 0

finding the equation:

substitute what we got:

[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]

and we're done!

Answer:

y = 4 1/2

x = 8 1/2

Step-by-step explanation:

x + y = 13

x - y = 4

substitution method:  let x = 4+y

4+y + y = 13

2y = 9

y = 4 1/2

x = 8 1/2

Answer:

A because its a complementary angle which has a angle which us added to 90 and a plus c =complementary

Answer:

Answer A is incorrect

Step-by-step explanation:

Just took the test

relationship between v and x is C:Consecutive interior angles

Answer:

0.637 m or 63.7 cm

Step-by-step explanation:

Formula

d = n *  pi di

Givens

di = diameter and is unknown

n = 29 times

d = 58 meters

Solution

58 = 29 * 3.14 * di

2 = 3.14 * di

2/3.14 = di

d = 0.637 meters

or

d = 63.7 cm

Answer:

Two additional solutions are:

(21, 1/3)

(17, 5/3)

Step-by-step explanation:

We have the equation:

x + 3*y = 22

Now we want to find two solutions (x, y).

To do this, we first need to rewrite the equation, we need to isolate one of the variables on one side of the equation.

Let's isolate x.

x = 22 - 3*y

Now we can change the value of y by a known value, and then solve the equation for x.

For example, if we define:

y = 1/3

then:

x = 22 - 3*(1/3)

x = 22 - 1 = 21

x = 21

Then the point (21, 1/3) is a solution of the equation.

Now let's input another value of y, for example, we can use y = 5/3

(in both cases I used the denominator equal to 3, because the "y" variable is multiplied by 3), replacing that in the equation we get.

x = 22 - 3*(5/3)

x = 22 - 5

x = 17

Then the point (17, 5/3) is a solution of the equation.

Answer:

1) number of boys in school is 48 [ Could be true ]

2) fraction of the boys in the school is = 6/6+7= 6/13 [False]

3) fraction of girls in school is 7/6+7=7/13 [Definitely true]

[tex]---------------[/tex]

hope it helps...

have a great day!!!

Answer:

8/20 and 15/20 and then you add to get 23/20 AKA       1   3/20

Step-by-step explanation:

Since you multiply 5 by 4 to get the LCD, apply the same method to the top: 2 times 4 is 8

Next do the same for the other fraction: 4 times 5 is 20 so apply that to get 3 times 5 is 15

Your final fractions will be 8/20 and 15/20

Then add and reduce to get 1 3/20

Answer:

B. 64

......there are nine nolumbers in every interval . ..

Answer:

64

Step-by-step explanation:

91-82=9

minus every number by 9

Answer:

a)

[tex]\frac{^{500}C_{400}}{^{700}C_{500}}[/tex]

b)

[tex]\frac{^{699}C_{499}}{^{700}C_{500}}[/tex]

Step-by-step explanation:

Given

The total number of opportunities to employees for transfer = 500

Company currently has  100 managers, 200 factory workers, and 400 miscellaneous staff

a) All the managers will be offered the opportunity

[tex]\frac{^{500}C_{400}}{^{700}C_{500}}[/tex]

b) You will be offered the opportunity

[tex]\frac{^{699}C_{499}}{^{700}C_{500}}[/tex]

Answer:  x=18

Step-by-step explanation:  ...

Answer:

Point C

Point A is located at (3, 2)

Point B is located at (2, 2)

Point C is located at (2, 3)

Point D is located at (3, 3)

Answer:

20 sq yd

Step-by-step explanation:

To find the total amount of sq yd's of paint needed, you have to find the area.

The area of a triangle is: A = 1/2 bh

We know:

b = base = 8

h = height = 5

Plug in and solve:

A = 1/2 (8) (5)

A = 1/2 (40)

A = 20

Answer

The triangle is scalene triangle

Answer:

Scalene triangle

Step-by-step explanation:

Answer:

V = 9.75 cubic inches.

Step-by-step explanation:

Given the following data;

Length = 2 inches

Width = 3¼ inches

Height = 1½ inches

To find the volume of rectangular prism;

Volume of rectangular prism = length * width * height

V = 2 * 3¼ * 1½

V = 2 * 13/4 * 3/2

V = 2 * 39/8

V = 2 * 4.875

V = 9.75 cubic inches

Answer:

B

Step-by-step explanation:

It can only land on blue and numbers greater than four (not including four), therefore B is the only suitable answer.

Answer:

answer:

[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]

[tex] \frac{29}{8} - \frac{17}{8} [/tex]

[tex] \frac{29-17}{8} [/tex]

[tex] \frac{12}{8} [/tex]

[tex] \frac{3}{2} [/tex]

[tex] 1\frac{1}{2} [/tex]

is your answer.

Let the larger number be x

The smaller number would be 1/5x

X - 1/5x = 132

Simplify:

4/5x = 132

Divide both sides by 4/5:

X = 165

1/5x = 1/5(165) = 33

The numbers are 165 and 32

Answer: Midpoint: (2, 1)

Step-by-step explanation:

Midpoint formula: ((x1 + x2)/2 , (y1 + y2)/2)

(-4 + 8)/2 = 2

(-8 + 10)/2 = 1

Answer: (2, 1)

Answer: Second option.

Step-by-step explanation:

First it is important to remember the definition of Dilation.

A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.

In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.

According to the exercise, the point C has these coordinates:

Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.

Then, you get that the coordinates of the point C' are:

Answer:

16 × 2 × 2

Step-by-step explanation:

64 = 2 × 2 × 2 × 2 × 2 × 2

=> 16 × 2 × 2

Answer:

C. The cost of a box of cereal

Step-by-step explanation:

In the question, we are given the number of 3 boxes of cereal, 2 loaves of bread, and that the total cost is $15. We can see these numbers in the equation, and putting it into context, we see that the 15 is on the right side of the equation, which indicates cash. Therefore, the 3 and 2 are accounted for, but their prices are unknown. X is a placeholder for the unidentified cost of a box of cereal, and we know that it's the boxes of cereal and not the loaves of bread because there are 3 and not 2.

Answer:

Step-by-step explanation:

What's the question?

This is a linear function that shows the longer the pipe the more it weighs.

   (156 - 130) pounds / (24 - 20) inches = 26 ponds / 4 inches

    or   4.5 pounds/inch

Answer:

t = 18 minutes.

Step-by-step explanation:

We can find the time by using the following kinematic equation:

[tex] y_{f} - y_{0} = v_{0}t + \frac{1}{2}at^{2} [/tex]  

[tex] \Delta y = v_{0}t + \frac{1}{2}at^{2} [/tex]  

Where:  

Δy: is the difference between the initial and the final height = 50.4 m

t: is the time  

a: is the acceleration

v₀: is the velocity of the drill = 2.8 m/min

Since the speed of perforation is constant, the acceleration is zero so:

[tex]\Delta y = v_{0}t[/tex]    

Then, by solving the above equation for "t" we have:

[tex] t = \frac{\Delta y}{v_{0}} = \frac{50.4 m}{2.8 m/min} = 18 min [/tex]

Therefore, it takes 18 minutes to drill the hole.  

I hope it helps you!    

Answer:

y-2=5/3x

y-2/5=3x

Step-by-step explanation:

Answer:

I can't draw a picture for you! But I can give you the answer so maybe you can figure out a picture yourself. The answer is: 31

Step-by-step explanation:

If you have 84 total pencils and you know that 53 are regular pencils all you have to do is subtract 53 from 84. So you would do 84-53=31

So therefore 31 of the pencils are colored. Hope this helps!

Answer:

The answer should be D) 4x^ + x + 3

Answer:

0

Step-by-step explanation:

-4 - (-4) = 0

divided by

1 - 7 = -6

-0/6 so 0