The loudness, L, measured in decibels (Db), of sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?

Answer:

it takes 48 days for 15 men to work

it takes 16 days for 15/48*16

the answer is 5 men

Answer:

45 men

Step-by-step explanation:

If you 1/3 the amount of time (from 48 to 16 ) to weed the plot, you will need to TRIPLE the number of men    to     45  men

Answer:

219

Step-by-step explanation:

adulta 219×17=3723

5563-323=1840

1840÷10=184 kids

219+184=403

Answer:

  (c)  x = 2 and x = -8

Step-by-step explanation:

The rules of logarithms let you rewrite this as a quadratic equation. That equation will have two (2) potential solutions. We know from the domain of the log function that any negative value of x will be an extraneous solution.

__

The rules of logarithms that apply are ...

  [tex]\log(a)+\log(b)=\log(ab)\qquad\text{all logarithms to the same base}\\\\\log_b(a)=c\ \Longleftrightarrow\ b^c=a\\\\[/tex]

__

We can rewrite the equation so that only one logarithm is involved. Then we can take antilogs.

  [tex]\log_4(x)+\log_4(x+6)=2\\\\\log_4(x(x+6))=2\qquad\text{using the first rule}\\\\4^2=x(x+6)\qquad\text{using the second rule}[/tex]

__

Adding (6/2)² = 9 to both sides will "complete the square."

  16 +9 = x² +6x +9 . . . . . . . add 9

  25 = (x +3)²

  ±√25 = x +3 = ±5 . . . . . take the square root(s)

  x = -3 ±5 = {-8, +2}

The two potential solutions are x = 2 and x = -8.

[tex]\\ \rm\Rrightarrow log_4x+log_4(x+6)=2[/tex]

[tex]\\ \rm\Rrightarrow log_4(x(x+6))=2[/tex]

[tex]\\ \rm\Rrightarrow x(x+6)=4^2[/tex]

[tex]\\ \rm\Rrightarrow x^2+6x=16[/tex]

[tex]\\ \rm\Rrightarrow x^2+6x-16=0[/tex]

[tex]\\ \rm\Rrightarrow x^2-2x+8x-16=0[/tex]

[tex]\\ \rm\Rrightarrow x(x-2)+8(x-2)=0[/tex]

[tex]\\ \rm\Rrightarrow (x+8)(x-2)=0[/tex]

[tex]\\ \rm\Rrightarrow x=-8\:and\:x=2[/tex]

Answer:

2/b

Step-by-step explanation:

a/b=3b

a=3b*b

a=3b^2

6b/a=6b/(3b^2)=2/b

Answer:

A) 1, 2, 4

Hope this helps you!

Answer:

A. 1, 2, 4

Step-by-step explanation:

32= 1*32, 2*16, 4*8

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

Common factors: 1, 2, 4

So the Answer is A.

Answer:

-2x - 1 = 3^(-x); 2^(-x) + 2 = -5^x + 3

Step-by-step explanation:

for this question you are choosing the lines that do not touch

the graphs for the second third and fourth ones all touch

but

the first and last one do not

therefore those are the ones with no solution

Answer:

Graph 1 and Graph 5

Step-by-step explanation:

As the first and final graphs do not intersect at any points on their graphs, they have no solution.

The option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a table:

            Male      Female

Type A    65       85

Type B    38         12

Male type B =  Type B Male/Total Male

Female type B =  38/(65+38) = 12/103 = 0.11

Male or Type B= Male + Type B female/ total

= 103+12/(97+103)= 135/200 = 0.675

P(Male or Type B) > P(Male |Type B)

Thus, the option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.

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Step-by-step explanation:

GIVEN

HERE

= 6+9+2+6+600÷30 { firstly add numbers }

= 623 ÷ 30

= 20

I think you understand

Answer:

No, This graph does not show a proportional relationship. The graph of a proportional relationship is a straight line that passes through the origin.

Step-by-step explanation:

If the graph of a relationship is a line or a ray passes through the origin, then it is proportional. If it is a line or ray that does not pass through the origin, then it is not proportional.

So, it's clear that if a graph has to be proportional then the relationship between the variables should be represented by the graph of a straight line through the origin with a slope equal to the unit rate.

Given relationship is not proportional because they do not have a constant ratio nor does it pass through the origin. If the data on the graph shows a curved line, it is not constant and is not proportional.

For reference, you can check the attached image also.

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Answer:

y= -x-7

Step-by-step explanation:

Slope intercept form: y = mx + b

m = slope

b = y intercept

The first thing you must do is isolate y so that it is by itself on the left side of the equation:

-x = y + 7

Subtract 7 to both sides:

-x - 7 = y + 7 - 7

-x - 7 = y

Flip:

y = -x - 7

-x = y + 7 in slope intercept form is y = -x - 7

This means the slope is -1 and the y-intercept of the equation is (0, -7)

Answer:

Step-by-step explanation:

If line A is parallel to line B passes through the point (2,7), the equation of line B will be y=3x+1.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that the points are (2,7)

The slope of line A is,

m = 6/2

m=3

The equation of the line is,

y-(-1)=3x

y=3x+1

Since the line B is parallel to A the slope of the line is the same,

y-(-7)=3(x-2)

y=3x+1

Thus, if line A is parallel to line B passes through point (2,7), the equation of line B will be y=3x+1.

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Answer:

A = 1.5 π in² ≈ 4.7 in²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{\frac{\pi }{3} }{2\pi }[/tex]

  = π × 3² × [tex]\frac{1}{6}[/tex]

  = 9π × [tex]\frac{1}{6}[/tex]

  =  1.5π in²

  ≈ 4.7 in² ( to the nearest tenth )

Answer:

Last choice

Step-by-step explanation:

The basic definition of inverse function is both domain and range are swapped.

The domain is defined as set of all x-values while range is defined as set of all y-values.

If we have set of function h = {(1,2), (3,4), (5,6)} then the inverse will be {(2,1), (4,3), (6,5)}. Thus, if set of (x,y) is original function then set of (y,x) will be inverse of set of (x,y).

Henceforth, the inverse of f(x) will be g(x) = {(3,8), (1,4), (-1,0), (-3,-4)}.

Answer:

D. g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}

Step-by-step explanation:

hope this helps:)

Answer:

no comprendo nada de esto lo siento

Step-by-step explanation:

no comprendo

The area of the deck that surrounds the hot tub is 17.93 m²

The area is the amount of space within the perimeter of a 2D shape.

radius = 3/2 = 1.5 m

Area of deck,

=Area of square - area of circle

= side side- πr²

=5*5 - 3.14* 1.5*1.5

= 25- 7.065

=  17.93 m²

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Answer:

Step-by-step explanation:

Answer:

10 is the answer. hj is 10

Answer:

1/6

Step-by-step explanation:

Rational numbers between two rational numbers:

LCD of 2 and 3 = 6

[tex]\sf \dfrac{-1}{3}=\dfrac{-1*2}{3*2}=\dfrac{-2}{6}\\\\\dfrac{1}{2}=\dfrac{1*3}{2*3}=\dfrac{3}{6}[/tex]

[tex]\sf Rational \ number \ between \ \dfrac{-2}{6} \ and \ \dfrac{3}{6} \ is \ \bf \dfrac{1}{6}[/tex]

Answer:

B) 3

Step-by-step explanation:

f(3) = 3^2 + 3(3) = 9 + 9 = 18

Answer:

There are 16 notes of 20 paise's and 12 notes of 5 paise's.

Explanation:

The amount of notes for of 20 paise and 5 paise coins are not given.

So let there be x 20 paise's coins and y 5 paise's coins.

Equation buildup:

20x + 5y = 380 ___eq 1

20y + 5x = 380 - 60

20y + 5x= 320 ___ eq 2

Make x the subject for both:

1st

[tex]\rightarrow \sf 20x + 5y = 380[/tex]

[tex]\rightarrow \sf 20x = 380-5y[/tex]

[tex]\rightarrow \sf x = 19-0.25y[/tex]

2nd

[tex]\sf \rightarrow 20y + 5x = 320[/tex]

[tex]\sf \rightarrow 5x = 320-20y[/tex]

[tex]\sf \rightarrow x= 64-4y[/tex]

Solve them simultaneously:

[tex]\sf \rightarrow 64-4y =19 - 0.25y[/tex]

[tex]\sf \rightarrow -4y+0.25y =19 -64[/tex]

[tex]\sf \rightarrow -3.75y =-45[/tex]

[tex]\sf \rightarrow y =12[/tex]

Find x:

[tex]\sf \rightarrow x = 64-4y[/tex]

[tex]\sf \rightarrow x = 64-4(12)[/tex]

[tex]\sf \rightarrow x = 16[/tex]

Using limits, it is found that the end behavior of the graph is given as follows:

It rises to the left, and stays constant at y = -4 to the right.

It is given by the limits of f(x) as x goes to infinity.

In this problem, the function is given by:

[tex]f(x) = 4\left(\frac{2}{5}\right)^{x + 3} - 4[/tex]

Hence:

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 4\left(\frac{2}{5}\right)^{x + 3} - 4 = 4\left(\frac{5}{2}\right)^{\infty + 3} - 4 = \infty - 4 = \infty[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow -\infty} 4\left(\frac{2}{5}\right)^{x + 3} - 4 = 4\left(\frac{2}{5}\right)^{\infty + 3} - 4 = 0 - 4 = -4[/tex]

Hence:

It rises to the left, and stays constant at y = -4 to the right.

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Answer:

[tex]-2\sqrt{3} +2\sqrt{15}[/tex]

Step-by-step explanation:

When we simplify this equation, we have to multiply the numbers outside the parenthesis with the the numbers inside the parenthesis. In this equation, we have to multiply [tex]\sqrt{12}[/tex] by [tex]-1[/tex] , getting the answer of [tex]-\sqrt{12}[/tex], which can be further simplified into [tex]-2\sqrt{3}[/tex]. Next, looking at [tex]\sqrt{12}[/tex] × [tex]\sqrt{5}[/tex], we get [tex]\sqrt{60}[/tex], which can also be simplified further into [tex]2\sqrt{15}[/tex]. Now, adding up these two numbers get [tex]-2\sqrt{3} +2\sqrt{15}[/tex].

The center of rotation will be (0,4). The points are plotted and the center is found with the help of a graph.

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

Given points;

A(1,-3)

A'(3,5)

B(0,0)

B'(4,-6)

C is the center point of rotation.

The given points are plotted on the graph and obtained as the center of rotation will be (0,4).

Hence the center of rotation will be (0,4).

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A function assigns the values. The correct option is B and E.

A function assigns the value of each element of one set to the other specific element of another set.

Given Marlene rides her bike at a rate of 16 miles per hour. Therefore, Marlene Speed is  16 miles/hour. Now if speed is 16 miles/hour, then time is the independent variable and distance is the dependent variable. And the speed is the slope of the function, therefore, the statements that are true of the scenario are,

The distance traveled depends on the amount of time Marlene rides her bike.

The function f(t) = 16t represents the scenario.

Hence, the correct option is B and E.

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Answer:

B and E

Step-by-step explanation:

correct on Edge

Answer:

s = 12 and p = 17

Step-by-step explanation:

→ Set up 2 simultaneous equations

p + s = 29

3s + 2p = 70

→ Rearrange the first equation for p as the subject

p = 29 - s

→ Substitute into 2nd equation

3s + 58 - 2s = 70

→ Solve

s = 12

→ Substitute into first equation

p + 12 = 29

→ Solve

p = 17

Answer:

-20.2a+5.5

subtract the values with a in it and the ones without the a together.