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3 years ago

Simplify 20 What the answer?

Mathematics

2 answers:

uysha [10]3 years ago

8 0

Answer:

2√5

Step-by-step explanation:

√20

√4 ×√5

2√5

Follow Me Please

Ipatiy [6.2K]3 years ago

4 0

Answer:

2√5

Step-by-step explanation:

√20=√2⋅2⋅5. =√22⋅5. =2√5.

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Consider a small ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let X and Y

harina [27]

Answer:

Expected revenue from the single trip is $ 13.14

Step-by-step explanation:

p(x,y) 0 1 2 g(x)

x 0 0.025 0.015 0.010 0.05

1 0.050 0.030 0.020 0.1

2 0.115 0.075 0.050 0.24

3 0.150 0.090 0.060 0.3

h(y) 0.325 0.27 0.18

E (x+Y) = E(X) +E(Y)

E(X)= ∑ xi g(x)i

= ( 0*0.05) + (1*0.1) + (2* 0.24) + (3*0.3) + (4*0.2)

= 0 + 0.1+ 0.48 + 0.9+0.8

=2.28

E(Y)= ∑yi h(y)

= (0* 0.325) + (1*0.27) + (2*0.18)

= 0 +0.27+ 0.36

= 0.63

E (x+Y) = E(X) +E(Y)

= 2.28 + 0.63

= 2.91

But the equation is 3x+ 10y

E(3x+ 10y)= 3E(x) + 10 E(y)

= 3(2.28) + 10 (0.63)

= 6.84 +6.3

= 13.14

Expected revenue from the single trip is $ 13.14

5 0

2 years ago

The head of a nail is circular, as shown. The head of this nail has a diameter of 8 millimeters Which measurement is closest to

RideAnS [48]

Answer:

The measurement used is "mm²"

Depending on the options provided, here are some answers in decreasing accuracy

16π mm² ; 50.26548 mm² ; 50.24 mm²

Step-by-step explanation:

To find the area of a circle, you'd use the equation:

A=πr²

And since you have been given a diameter:

d=2r

.: A=π(d/2)²

For the area, you take the unit provided and square it (eg cm to cm²) or just do u² if no units are provided. In your case, it is mm to mm²

All together, we can just replace the variable used with numbers to fill in:

A=π(8/2)²

.:A=π4²

.:A=16π mm²

Lastly, based on how your question is worded, the answer was either the measurement given or you need to simplify.

The measurement would be mm²

If π is typed into a calculator:

A= 50.265482...

If π≈3.14

A= 50.24

I'm also guessing this is multiple choice it is asking for the closest answer, in which case I have listed them in decreasing accuracy above.

3 0

2 years ago

Write the equation of a sine or cosine function to describe the graph.

juin [17]

Step-by-step explanation:

The equation of a trigonometric function is

$y = a \sin(bx + c) + d$

$y = a \: cos(bx + c) + d$

Let define some variables,

D is the midline, this refers to the midpoint of the highest y value and lowest y value. Some textbooks call it the vertical translations but it is the same thing.

A is the amplitude. The amplitude is the distance from the midline to the highest y value. Some distance is non negative, the formula for the amplitude is

$|a|$

The period is how often the wave repeats itself on a interval.

Period can't be negative so the formula for period is

$\frac{2 \pi}{ |b| }$

To find the period, look at the extreme points.

The phase shift tells us if the sinusoid have been shifted to the right or left. The formula for the phase shift

$bx + c = 0$

Solving for x gives us

$x = \frac{ - c}{b}$

If our x is negative, we have a phase shift to the right

If our x is Positve, we have a phase shift to the left.

Let solve this equation, Let use Sine since sin(0)=0,

The smallest y value here is 0, and the highest is 2, so the amplitude is 1.

$d = 1$

Next, the distance from the max to the midline is 1, as well the min to the midline is also 1.

$a = 1$

We have minimum at 0, and 8, so our period is 8.

$\frac{2\pi}{b} = 8$

Solve for b,

$\frac{\pi}{4} = b$

Plug this in the equation.

$1 \sin( \frac{\pi}{4} x) +$

$y = \sin( \frac{\pi}{4} x) + 1$

The graph passes through (4,2) so let see if that holds true for our equation

$2 = \sin( \frac{\pi}{4} (4)) + 1$

$2 = \sin(\pi) + 1$

$2 = 0 + 1$

$2 = 1$

This doesn't hold true, so we must have a phase shift

Notice that

$\sin( \frac{\pi}{2} ) = 1$

So if we shift this pi/2 to the right, we can get our equation to be true.

$y = \sin( \frac{\pi}{4} x - \frac{\pi}{2} ) + 1$

This equation works so our equation is

$y = \sin( \frac{\pi}{4} x - \frac{\pi}{2} ) + 1$

3 0

2 years ago

If the volume of the solid below is 84 cubic inches, what is the height of the solid?

frozen [14]

Height = Volume / area of base

Area of base = 3.5 x 4 = 14 sq. inches.

Height = 84 / 14

Height = 6 inches.

3 0

3 years ago

What is 0.000000783 written in scientific notation

svlad2 [7]

Scientific notation is always less than 1. If you had the decimal at 7.83, then it is less than one. 00000007.83. count from the decimal all the way to the left making it 7 jumps to the left to make 0.000000783. So it’ll be 7.83 x 10 to the power of -7

7 0

3 years ago