What is y=-3x written in standard form

(a) What resonant frequency would you expect from blowing across the top of an empty soda bottle that is 24 cm deep, if you assu

Kryger [21]

Answer:

a) 357.29 Hz

b) 535.9375 Hz

Step-by-step explanation:

v = Velocity of sound in air = 343 m/s

l = length = 24 cm

a)

$l=\frac{1}{4}\lambda \\\Rightarrow \lambda=4l$

$f=\frac{v}{\lambda}\\\Rightarrow f=\frac{v}{4l}\\\Rightarrow f=\frac{343}{4\times 0.24}\\\Rightarrow f=357.29\ Hz$

∴ Resonant frequency is 357.29 Hz

b) Here one third is filled with soda

So, length becomes $l=24-\frac{24}{3}=16\ cm$

$f=\frac{v}{4l}\\\Rightarrow f=\frac{343}{4\times 0.16}\\\Rightarrow f=535.9375\ Hz$

∴ Resonant frequency is 535.9375 Hz

6 0

4 years ago

To get to school, Grayson usually walks 1.5 miles west and 0.8 miles north on the sidewalks. Because he is in a hurry, he has de

Alex17521 [72]

Answer:

Grayson has to walk 1.7 miles across the field.

Step-by-step explanation:

We have drawn the diagram for your reference.

Given:

Grayson usually walks 1.5 miles west on the side walks

According to Diagram we can say;

CA = 1.5 miles

Also Given:

Grayson also walks 0.8 miles north on the sidewalks

So According to Diagram we can say;

BA =0.8 miles

Now we need to find number of miles Grayson have to walk across the field.

According to diagram we can say;

We have to find CA.

Assuming the diagram to be right angled triangle.

We can find CA using Pythagoras theorem.

${CA}^2 = {CB}^2+{BA}^2$

Substituting the given values we get;

${CA}^2 =1.5^2+0.8^2 = 2.25 +0.64 =2.89$

Taking square root on both side we get;

$\sqrt{{CA}^2} = \sqrt{2.89} \\\\CA = 1.7 \ mi$

Hence Grayson has to walk 1.7 miles across the field.

4 0

3 years ago

Help me please I’ll donate money

Virty [35]

12. It's similar to having an infinite number of solutions because there isn't a specific solution to answer the question.

13. For the equation 0.9x + 5.1x - 7 = 2(2.5x-3), there is only one solution and it is x=1

14. The error that your friend made was that she added extra 16x to the equation. the correct answer is that there is no solution.

16. the equation 6 (x+2)= 5 (x+7) has only one solution. it is x=3.

sorry i wasn't able to answer the other 3,

by the way you don't need to send money, because we are here to help

6 0

3 years ago

Pls answer 26 and show work

Phoenix [80]

The transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down

<h3>How to compare the function to its parent function?</h3>

The equation of the transformed function is given as:

y = -(x - 2)^2 - 3

While the equation of the parent function is given as

y = x^2

Start by translating the parent function to the right by 2 units.

This is represented as:

(x, y) = (x - 2, y)

So, we have:

y = (x - 2)^2

Next, reflect the above function across the y-axis

This is represented as:

(x, y) = (-x, y)

So, we have:

y = -(x - 2)^2

Lastly, translate the above function 3 units down

This is represented as:

(x, y) = (x, y - 3)

So, we have:

y = -(x - 2)^2 - 3

Hence, the transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down

Read more about function transformation at:

brainly.com/question/8241886

#SPJ1

7 0

2 years ago

The length of a rectangle is the sum of the width and 4. The area of the rectangle is 32 units. What is the width, in units, of

tigry1 [53]

Answer:

b=4

Step-by-step explanation:

Lets a be lenght and b width. From text we have:

a=b+4

a*b=32

Put the first equation in the 2n, we get:

(b+4)b=32

b^2+4b-32=0

b^2+8b-4b-32=0

b(b+8)-4(b+8)=0

(b+8)(b-4)=0

So it must be b=-8 or b=4. We know that width cannot be negative, so it is 4.

5 0

4 years ago