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2 years ago

Which answers are written in function notation

Mathematics

1 answer:

gogolik [260]2 years ago

4 0

Step-by-step explanation:

An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”; that is, y = f ( x). This last expression is read as “ y equals f of x” and means that y is a function of x.

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A garden hose having an internal diameter of 0.740 in. ( 1.8796 cm ) is connected to a lawn sprinkler that consists merely of an

lara31 [8.8K]

Answer:

It will leave the sprinkler at speed of $v_2=613.87m/sec$

Step-by-step explanation:

We have given internal diameter of the garden hose $d_1=0.740in=1.8796cm$

So radius $r_1=\frac{d_1}{2}=\frac{1.8796}{2}=0.9398cm$

So area $A_1=\pi r_1^2=3.14\times 0.9398^2=2.7733cm^2$

Water in the hose has a speed of 4 ft/sec

So $v_1=4ft/sec=121.92cm/sec(As\ 1ft/sec\ =30.48cm/sec)$

Number of holes n = 36

Diameter of each hole $d_2=0.1397cm$

So radius $r_2=0.0698cm$

So area $A_2=\pi r^2=3.14\times 0.0698^2=0.0153cm^2$

From continuity equation

$A_1v_1=nA_2v_2$

$2.7733\times 121.92=36\times 0.0153\times v_2$

$v_2=613.87m/sec$

7 0

3 years ago

Which expressions are equivalent to the equation below

Irina18 [472]

Answer:

Polynomial Expression.

Step-by-step explanation:

8 0

2 years ago

M5-3/2x less than or equal to 1/3

Zepler [3.9K]

Answer: choice A

Step-by-step explanation:

by rearranging the initial inequality you’ll get

$\frac{3}{2} x\leq 5-\frac{1}{3}$

which equals

$\frac{3}{2} x\leq\frac{14}{3}$

then multiply both sides by 2/3

$x\leq \frac{28}{9}$

8 0

2 years ago

two trains ,each 100 m long,moving in opposite directions ,cross each other in 8 seconds .if one is moving twice as fast as the

Feliz [49]

Answer:

60 km/hr

Step-by-step explanation:

100+100

_______ =3x

3x= 200/8

x=200/24 mps

=30mph

final speed is 60km/hr because its 2x's more =2*30=60

8 0

3 years ago

A 20-foot ladder leans up against the side of a building so that the foot of the ladder is 10 feet from the base of the building

harina [27]

Answer:

17.3

Step-by-step explanation:

To solve this equation, you need to use the pythagorean theorem which is:

$a^{2} +b^{2}= c^{2}$

a= length

b= height

c= hypotenuse

First, substitute in your values for the equation:

$10^2+b^{2} =20^{2}$

Then, use the squares in the equation:

$100+b^{2} =400$

Then, subtract 100 from both sides to isolate b:

$b^{2} =300$

Finally, square root both sides to get your answer:

$b=17.3205080757$

Then round to the nearest tenth which gives you 17.3.

6 0

2 years ago