The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d
from the source of the sound.
A person 14 feet from a jetski, it is 85 decibels loud.
How loud is the jetski when the person is 41 feet away? (Round to 3 decimal places.)
dB

Answer:

48 ft

Step-by-step explanation:

perimeter of rectangular garden=2(l+b)

=2(4+2) = 12ft

for such 4 gardens = 12×4

=48ft of fencing needed

Answer:

length of rectangular garden =4feet

width =2feet

perimeter of rectangular garden=2(l+b)

=2(4+2)

=2*6

=12

total fencing needs for 4 rectangular gardens=

=12*4= 48feet

Step-by-step explanation:

hope my answer is helpful to you

Answer:

n = 4

Step-by-step explanation:

Use the explicit formula of a arthmetic sequence: an = a1 + d(n - 1)

a1 = -70

d = -10

an = -100

Do all of the steps and plug all the numbers with the formula.

So -100 = -70 - 10(n - 1)

-100 = -70 - 10n + 10

-100 = -60 - 10n

-100 + 60 = -40

-40 = -10n

-40/-10n = -10n/10

n = 4

So the final answer is n = 4. Just follow all of the steps and you will understand how I got my answer. Hope it helped!

Answer:

Step-by-step explanation:

* 33/100 = .3(bar)

* 23/50 =.46

* 6/8 = .75

* 1/3 = .3(bar)

* 7/10 =.7

* 21/81 = .26

* 3/16 = .1875

* 7/20 =.35

Answer:

0.0635 ; 0.1093

Step-by-step explanation:

Given that :

Mean (m) = 181

Standard deviation (s) = 7.3

Height = x

a) The probability that the person is between 160 and 170 centimeters

160 < x < 170

P(x < 160) - P(x< 170)

Z = (170 - 181) / 7.3) ; (160 - 181) / 7.3

Z = - 1.51 ; Z = - 2.88

P(Z < - 1.51) - P(Z < - 2.88)

0.0655 - 0.0020 (from Z table ; first integer of the y axis, decimal point value on the horizontal x axis ; the value at the intersection is the z probability value).

0.0655 - 0.0020 = 0.0635

b) The probability that the person is higher than 190 centimeter

P(x > 190)

Zscore = (x - m) / s

Zscore = (190 - 181) / 7.3

Zscore = 1.23

P(Z > 1.23) = 1 - P(Z < 1.23)

P(Z > 1.23) = 1 - 0.8907

P(Z > 1.23) = 0.1093

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ Volume \ of \ the\ sphere\ is\ 33493.33 \ in.^3 }}}[/tex]

According to the Question the radius of the sphere is 20 inches. And we know that the Volume of sphere is given by :-

[tex]\boxed{\orange{\sf Volume_{sphere}=\dfrac{4}{3}\pi r^3 }}[/tex]

And here radius is 20 in.

[tex]\implies Volume = \dfrac{4}{3}\pi r^3 \\\\\implies Volume =\dfrac{4}{3}\times\dfrac{22}{7}\times (20 in.)^3\\\\\implies \boxed{\bf Volume = 33493.33 in^3 }[/tex]

Answer:

33493.34

Step-by-step explanation:

r=20

volume of sphere= 4/3×πr^3

= 4/3×3.14×20^3

= 33493.34

or

r=20

volume of sphere= 4/3×πr^3

= 4/3×22/7×20^3

= 33523.80952

Answer:

N=100

Step-by step explanation

Count how many times the decimal gets moved to the right in this case it moved to the hundredths place therefore the answer is 100

Answer: 15

Step-by-step explanation: 75 divided by 5 = 15

Hope this helps!

Answer:

The orthocentre of the given vertices ( 2 , -3.5)

Step-by-step explanation:

Step(i):-

The orthocentre is the intersecting point for all the altitudes of the triangle.

The point where the altitudes of a triangle meet is known as the orthocentre.

Given Points are K (3.-3), L (2,1), M (4,-3)

The Altitudes are perpendicular line from one side of the triangle to the opposite vertex

The altitudes are  MN , KO , LP

step(ii):-

   Slope of the line  

                          [tex]KL = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{1-(-3)}{2-3} = -4[/tex]

The slope of MN =

The perpendicular slope of KL

                           = [tex]\frac{-1}{m} = \frac{-1}{-4} = \frac{1}{4}[/tex]

The equation of the altitude

                                 [tex]y - y_{1} = m( x-x_{1} )[/tex]

                                [tex]y - (-3) = \frac{1}{4} ( x-4 )[/tex]

                               4y +12 = x -4

                                x - 4 y -16 = 0 ...(i)

Step(iii):-

 Slope of the line  

                          [tex]LM = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{-3-1}{4-2} = -2[/tex]

The slope of KO =

The perpendicular slope of LM

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

The equation of the altitude

                                 [tex]y - y_{1} = m( x-x_{1} )[/tex]

The equation of the line passing through the point K ( 3,-3) and slope

m = 1/2

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

                                2y +6 = x -3

                             x - 2y -9 =0 ....(ii)    

Solving equation (i) and (ii) , we get

  subtracting equation (i) and (ii) , we get

                   x - 4y -16 -( x-2y-9) =0

                       - 2y -7 =0

                      -2y = 7

                        y = - 3.5

Substitute y = -3.5 in equation x -4y-16=0

               x - 4( -3.5) - 16 =0

               x +14-16 =0

                x -2 =0

                  x = 2

The orthocentre of the given vertices ( 2 , -3.5)

Answer:

By writing as a fraction, I am taking you mean to SIMPLIFY IT.

Step-by-step explanation:

As a fraction, 56/90 is 28/45

The number that divides 56 and 90 exactly is 2

56/2=28

90/2=45

So therefore, the answer is 28/45

200 + 10 + 7 + .09

This is because the expanded form is the number seperated.

Answer:

f(0.6) = 0.92

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2 - 3x²

f(0.6) is x = 0.6

Step 2: Evaluate

Answer:yes

Step-by-step explanation:

Answer:

It Is A.y-8=-5(x+2)

Step-by-step explanation:

Answer:

[tex]\displaystyle f(x)=\frac{5}{24}(x+2)^2(x-6)(x-2)[/tex]

Step-by-step explanation:

The standard, factored polynomial function is given by:

[tex]f(x)=a(x-p)^n(x-q)^m...[/tex]

Where a is the leading coefficient,

p and q are factors,

And n and m are the powers or multiplicity they are being raised to.

We know that our polynomial function is of degree 4.

We have a root of multiplicity of 2 at x=-2.

So, our factor is:

[tex](x-(-2))=(x+2)\\[/tex]

It is has a multiplicity of 2, it is squared. So:

[tex](x+2)^2[/tex]

We have another root with multiplicity of 1 at x=6.

So, our factor is:

[tex](x-6)[/tex]

And since it is to the first power, we can write it as is.

Finally, we have another root of multiplicity of 1 at x=2.

So, our factor is:

[tex](x-2)[/tex]

Therefore, our entire function is:

[tex]f(x)=a(x+2)^2(x-6)(x-2)[/tex]

We still have to determine our leading coefficient, a.

We can use that y-intercept. The y-intercept is at (0, 10). So, when x=0, y=10. By substitution:

[tex]10=a(0+2)^2(0-6)(0-2)[/tex]

Evaluate:

[tex]10=a(4)(-6)(-2)[/tex]

Multiply:

[tex]10=48a[/tex]

Therefore:

[tex]\displaystyle a=\frac{10}{48}=\frac{5}{24}[/tex]

Therefore, our final function is:

[tex]\displaystyle f(x)=\frac{5}{24}(x+2)^2(x-6)(x-2)[/tex]

Answer:

1,2,3,4,6,9,12,18,36

Step-by-step explanation:

Answer:

what are you even doing with all them balls

Step-by-step explanation:

Answer:

[tex] a = 6\sqrt 3,\:\:b =12,\:\:c=6\sqrt 2[/tex]

Step-by-step explanation:

[tex]by \: 30 \degree - 60 \degree - 90 \degree \: theorem \\ \\ 6 = \frac{1}{2} b\\ \\ 6 \times 2 = b \\ \\ 12 = b \\ \\ \huge\red {\boxed {b= 12}} \\ \\ a = \frac{ \sqrt{3} }{2} b \\ \\ a = \frac{ \sqrt{3} }{2} \times 12 \\ \\ \huge\purple {\boxed {a = 6 \sqrt{3}}} \\ \\ c = \frac{1}{ \sqrt{2} } b \\ \\ c = \frac{1}{ \sqrt{2} } \times 12 \\ \\ c = \frac{ \sqrt{2} }{2} \times 12 \\ \\ \huge\orange {\boxed {c = 6 \sqrt{2}}} \\ \\ [/tex]

Answer:

7.222 (repeating)

Step-by-step explanation:

8 + 10 + 8 + 5 + 4 + 7 + 5 + 10 + 8 = 65

1      2    3    4    5    6    7    8     9

65 / 9 = 7.222 (repeating)

Answer:

The ceiling is lower than 3 meters.

Step-by-step explanation:

In the above, the product is less than 3. In this case, it will not include 3 as a choice, as if it would, the [tex]\leq[/tex] would be used.

This means that x would be any number that is less than 3. The only choice that gives a choice that means less than by the terms definition is A) The ceiling is lower than 3 meters.

~

Answer:

The coordinate of the point is (8,-5,-1).

Step-by-step explanation:

Given that the point is located 8 units in front of the yz-plane, 5 units to the left of the xz-plane, and 1 unit below the xy-plane.

According to the convention to the coordinate axis, the front of the yz-plane is the positive x-axis, right of xz-plane is the positive y-axis, and above of xy-plane is the positive z-axis.

As the point is located 8 units in front of the yz-plane, so x=8.

As the point is located 5 units to the left of the xz-plane, so y= -5.

As the point is located 1 unit below the xy-plane, so z= -1.

Hence, the coordinate of the point, (x,y,z)=(8,-5,-1).

Answer:

3/ 8

Step-by-step explanation:

All possible outcomes are:

HHH TTT HTT THT TTH HHT HTH THH

PROBABLITY of getting exactly one head = 3/ 8

hope it helps!

Answer:

1 4/5

Step-by-step explanation:

Answer:

4.

y= 2/3x + 3

Step-by-step explanation:

By using the distributive property on the right side of the equation you get 2/3x + 2. Then you add 1 to the right side to cancel out the (-1) on the left.