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Tanzania [10]
3 years ago
7

PLSSSSSSSSSSSSSS HELPPP FOR REAL SOMEBODDYY REWARD BRAINLIEST!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0

Answer:

1. x = 3

2. (1, 0)

3. x = 3, -2

4. 144

5. -3 <u>+</u> 4√3

Step-by-step explanation:

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The population of fish in a pond in relation to the number of years since stocking is depicted on a graph. For the first few yea
Viktor [21]

Answer:

graph c is the correct answer

7 0
3 years ago
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What is the solution to ln (x2 - 16) = 0?
bogdanovich [222]
ANSWER

x = \pm \sqrt{17}
EXPLANATION

The given equation is

ln( {x}^{2} - 16) = 0

Take antilogarithm of both sides to base e.

{e}^{ ln( {x}^{2} - 16) } = {e}^{0}

This will simplify to

{x}^{2} - 16 = 1

Group like terms to obtain,

{x}^{2} = 1 + 16

{x}^{2} = 17

Take square root of both sides to get,

x = \pm \sqrt{17}
6 0
3 years ago
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Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high and 24 cm in diameter if the
alexira [117]

Answer:

dV=542.9 cm^{3}    

Step-by-step explanation:

Let's start with the equation of the volume of a cylinder:

V=\pi r^{2}*h

Where:

  • r is the radius of the cylinder (r=D/2=24/2=12 cm)
  • h is the high of the cylinder (h = 60 cm)

We can us partial derivatives to find the differential of this volume. So we will have:

dV=\frac{\partial V}{\partial r}dr+\frac{\partial V}{\partial h}dh (1)

Now:

\frac{\partial V}{\partial r}=2\pi r*h=2\pi 12*60=4523.9 cm^{2}

\frac{\partial V}{\partial h}=\pi 12^{2}=452.4 cm^{2}

dr is a differential of the radius, so in our case it is 0.1 cm and dh, differential of the high, is 0.1*2 cm. We multiply by 2 because we need to consider the top and the bottom of the cylinder.

Now we just need to put all of this definitions in the equation (1).

dV=4523.9*0.1+452.4*0.2=542.9 cm^{3}    

I hope it helps you!

6 0
4 years ago
Jenna is looking at two different options for a new cell phone plan. Plan A has a fee of $50 plus an additional fee of $0.05 per
MAVERICK [17]
Plan A = 50 + 0.05(x-500)
Plan b = 20 + 0.06 (x-200)
set A equal to B
50 + 0.05 (x-500) = 20 + 0.06(x-200)
50 + 0.05x - 25 = 20 + 0.06x -12
rearrange like terms on one side.
50 - 25 -20 +12 =0.06x -0.05x
17 = 0.01x
x = 1700 minutes.
3 0
4 years ago
F(x)=4^x and g(x)=4^x+2
dsp73

Given:

The two functions are:

f(x)=4^x

g(x)=4^x+2

To find:

The type of transformation from f(x) to g(x) in the problem above and including its distance moved.

Solution:

The transformation is defined as

g(x)=f(x+a)+b                .... (i)

Where, a is horizontal shift and b is vertical shift.  

  • If a>0, then the graph shifts a units left.
  • If a<0, then the graph shifts a units right.
  • If b>0, then the graph shifts b units up.
  • If b<0, then the graph shifts b units down.

We have,

f(x)=4^x

g(x)=4^x+2

The function g(x) can be written as

g(x)=f(x)+2            ...(ii)

On comparing (i) and (ii), we get

a=0,b=2

Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).

3 0
3 years ago
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