Water flows on the Amazon river near the cachoeira de Santuario waterfalls at a velocity 75 meters per second. If a low height run of the river turbine is installed that captures 10 cubic meters, what power will it generate

Answer:

a) [tex]f(x) = \frac{1}{3} \sqrt{x+4}[/tex]

b) [tex]f(x)=4\sqrt{x} + 3[/tex]

c) [tex]f(x) = 2\sqrt{x} -6[/tex]

Step-by-step explanation:

a) The function will be;

⇒ f (x) = 1/3 √(x + 4)

b) The function will be;

⇒ f (x) = 4√x + 3

c) The function will be;

⇒ f (x) = 2√x - 6

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

There are some transformations are given.

Now,

For (a);

The function is horizontally shifting the graph 4 units to the left of

f(x) = √x.

So, The function become;

f (x) = √(x + 4)

And, Then vertically compression by a factor of 1/3.

So, The function become;

f (x) = 1/3 √(x + 4)

For b:

The function is vertically stretching the graph by a factor of 4 of f(x) = √x.

So, The function become;

f (x) = √x + 3

And, Then vertically shifting the graph 3 units up.

So, The function will be;

⇒ f (x) = 4√x + 3

For c;

The function is horizontally stretching the graph of f(x) = √x by a factor of 2.

So, The function become;

f (x) = 2√x

And, Then vertically shifting the graph 6 units down.

So, The function will be;

⇒ f (x) = 2√x - 6

Thus,

a) The function will be;

⇒ f (x) = 1/3 √(x + 4)

b) The function will be;

⇒ f (x) = 4√x + 3

c) The function will be;

⇒ f (x) = 2√x - 6

Learn more about the translation visit:

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,

Answer:

No answer

Step-by-step explanation:

y=x+1 is a LINE

Answer:

1. 3a + b - 4c -2d (this is as much as you can do)

2. -a + 2b - 3c - 3d

3. 3a - 6b +2c -2d

4. -4 + 2b + c - 2d

Step-by-step explanation:

1. Move the 4c

2. You can’t evaluate anymore

3. You can’t evaluate anymore

4. You can’t evaluate anymore

Answer:

I don't know the options, but you would find the lowest common denominator as possible, in this case it's 40. so, you figure out how you get from the original denominator to the common one, and then do the exact same thing to the numerators.

[tex]\frac{5}{8} =\frac{25}{40}[/tex] and [tex]\frac{3}{10} = \frac{12}{40}[/tex]

and then take the two new fractions and subtract the numerators to get what the answer is:

[tex]\frac{25}{40} - \frac{12}{40} = \frac{13}{40}[/tex]= 0.325

normally you would simplify, but this fraction is already in it's simplest form. so you could convert to a decimal, but only if the directions say to.

Answer:

c. 2x-3

Step-by-step explanation:

factor the 4 into the parenthesis. To do this you multiply 4 by x and then -3. This will give you 4x-12-2x+9. combine like terms and you get 2x-3

Answer:

O C. 2x-3

Step-by-step explanation:

Answer:

2 - (3x – 4) = 2x – 9​

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2−(3x−4)=2x−9

2+−1(3x−4)=2x−9(Distribute the Negative Sign)

2+−1(3x)+(−1)(−4)=2x−9

2+−3x+4=2x−9

2+−3x+4=2x+−9

(−3x)+(2+4)=2x−9(Combine Like Terms)

−3x+6=2x−9

−3x+6=2x−9

Step 2: Subtract 2x from both sides.

−3x+6−2x=2x−9−2x

−5x+6=−9

Step 3: Subtract 6 from both sides.

−5x+6−6=−9−6

−5x=−15

Step 4: Divide both sides by -5.

−5x

−5

= −15

−5

x=3

Answer:

y=-4/3x-1

Step-by-step explanation:

(-3,-5) (0,-1)

m = -1 + 5/0+3

The line is negative so the slope is negative

Slope = -4/3

Y-intercept = -1

WATCH YOUR SIGNS.

Answer:

c

Step-by-step explanation:

he wanted to build a pool on his property therfore property tax.

sometimes u have to pay to add something to your property so that makes property tax.

Answer:

I am pretty sure it would be c

Step-by-step explanation:

Answer:

The correct answer is True because the solutions of the quadratic equation in the standard form

X=9/64^7

Hope this helps

Answer:

2.4 x 10^-12

Step-by-step explanation:

that is the explanation for the question

Answer:

7

Step-by-step explanation:

7 x 4 = 28 - 5 = 23

7 + 16 = 23

Answer:

A translation 9 units right

Step-by-step explanation:

Given

[tex]f(x) = 4x + 2[/tex]

[tex]g(x) = 4(x -9)+ 2[/tex]

Required

Translation of f(x) to g(x)

To do this, we take the options one after the other.

A translation 9 units right

When an original function f(x) is translated to the right by h points, the resulting function g(x) is

[tex]g(x) = f(x - h)[/tex]

So, we have that:

[tex]f(x) = 4x + 2[/tex]

When translated to the right by 9 points,

[tex]g(x) = 4(x - 9) + 2[/tex]

Hence, option A answers the question

Answer:

hi

Step-by-step explanation:

Answer

The  value is  [tex]P = 131.07[/tex]

Step -by -step -explanation :

 From the question we are old that

         The sample size is  n =  20  

         The sample mean for the first person of each twin is  [tex]\= x = 100.45[/tex]

         The sample mean for the second person of each twin is  [tex]\= y = 103[/tex]

          The  correlation between both data is  r =  0.908

         The p-value is  p-value  =  0.000

          The  equation  [tex]\^ y = 13.47 + 1.12 x[/tex]

Here we are told that x represents  the first person to be given birth to among each twin  

       The value of x  considered is  x = 105

          Generally given that p-value  =  0.000

Then  the  Predicted value of  [tex]\^ y[/tex]  is mathematically represented as

           [tex]P = 13.47 + 1.12 (105)[/tex]

=>         [tex]P = 131.07[/tex]

Answer:

Not completely sure but I think 9

Step-by-step explanation:

In order to solve this equation, you would need to first multiply m by 2 to get 2 m. 3/2=1.5; 1.5*2 =3. 3/9 simplifies to 1/3

Then you would want to solve. So, you would need to divide 2 by 1/3 which would give you 9.

Answer:

Option D: [tex]\frac{3}{2}[/tex] is the correct answer.

Step-by-step explanation:

Given points are:

P(-8,5) and Q(-2,1)

Slope is the steepness of a straight line.

We will find slope of PQ

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{1-5}{-2-(-8)\\m=\frac{-4}{-2+8}\\m=\frac{-4}{6}\\m=\frac{-2}{3}[/tex]

The product of slopes of two perpendicular lines is equal to -1.

Let,

x be the slope of other line.

m.x = -1

[tex]\frac{-2}{3}x=-1\\x=\frac{3}{2}[/tex]

Therefore,

The slope of a line perpendicular to the line PQ is [tex]\frac{3}{2}[/tex].

Hence,

Option D: [tex]\frac{3}{2}[/tex] is the correct answer.

Answer:

72 ounces

Step-by-step explanation:

1 pint = 16 ounces

4.5 pints* 16 ounces = 72 ounces

*4.5=4 1/2

I’m not sure but I hope this helps

Answer:

22 lawns could be mowed as it takes 1.5 hours per lawn.

If they sold six lizards they would earn $71.82

Answer:

(x+2) (x+2)

Step-by-step explanation:

x2+ (2+2)x + 4

x2 + 2x + 2x + 4

x(x+2) + 2(x + 2)

(x+2) (x+2)

Answer:

60 degrees

Step-by-step explanation:

sum of interior angles in a triangle is always 180 degrees

find m<E from triangle CED: 43 + m<E + 35 = 180 degrees

m<E = 102 degrees

find m<A: 102 + m<A + 18 = 180

m<A = 60 degrees

Answer:

To solve this problem you must follow the steps below:

1. The problem says that:

- The hot air balloon is at an altitude of 240 feet.

- It descends at 30 feet per minute.

2. Therefore, you have:

x: the time in minutes.

y: the altitute in feet.

3. Keeping all this information on mind, you can write the following equation:

y=240-30x

4. Therefore, as you can see, the answer is:

y=240-30x

Step-by-step explanation: Hope this helps plz mark brainliest

Answer:

y=240-30x

Step-by-step explanation:

Answer:dsafasdfasdf

dasdasdasdasdasdasdasdfasdfasdfasdf

Step-by-step explanation:

sadasdasdasdasdasdsadfasdfasf

Answer:

-19561285.5554

Step-by-step explanation:

Answer:

-19561285.5554

Answer:

Yes

Step-by-step Explanation:

The image below shows proof that the point (1,3) is part of the inequality y>5/2x-3

Hope this helps! :)