^415^7 The expression above can also be written in the form 을 For this expression, b= and c=

a=
7
4
15

b=
15
4
7

c=
15
4
7
l​

The decibel level is 115.

From the question, we have

The decibel level is

\(D=10log \frac{I}{I_o}\\=10log \frac{10^{0.5} }{10^-12}\\\\=10log10^{11.5} \\=10*11.5=115\\\)

Decibel:

Since some noises are dangerous, we can measure the sound that surrounds us in order to be protected and informed. In actuality, loud noise can harm our hearing. Decibel is the unit of measurement for sound intensity. Because the human ear is so sensitive, you can hear anything, including a tremendous thunderclap, when your fingertip lightly brushes across your skin. The sound of a thunderclap is roughly 1,000,000,000,000 times more powerful than the tiniest audible sound in terms of power. That really does make a difference! Let's study more about the decibel unit in this article.

To learn more about decibel visit: https://brainly.com/question/26848451

#SPJ9

The correct answer is (D) A and B. Both a run of six points or more and an astronomical point can be rules for determining non-random patterns.

A run of six points or more refers to a sequence of data points that share a common characteristic or exhibit a consistent trend.

In statistical analysis, a run is a consecutive sequence of data points above or below a certain threshold. If there is a run of six points or more in a dataset, it suggests a non-random pattern or trend.

An astronomical point refers to a data point that significantly deviates from the expected pattern or falls outside the normal range of values. This point stands out as an outlier and may indicate a non-random pattern in the data.

By combining these two rules, A and B, we can identify non-random patterns in a dataset. A run of six points or more indicates a sustained trend, while an astronomical point signifies a significant deviation from the expected pattern.

It's important to note that a trend of three points or fewer, as mentioned in option (C), does not provide enough evidence to determine a non-random pattern. A trend of three points or fewer may still be subject to randomness or noise in the data, and it is not considered statistically significant.

Therefore, the correct answer is option (D) A and B, as both a run of six points or more and an astronomical point can help identify non-random patterns in data.

To know more about value click here

brainly.com/question/30760879

#SPJ11

Answer:

perimeter is 20 cm

Answer:

Choice D. is the correct answer.

Step-by-step explanation:

Suppose there are two shirts: Shirt A costs $120 and shirt B costs $60. Let's try both coupons on each shirt:

For shirt A:

Using the $20 off coupon, he will pay $120 - $20 = $100

Using the 20% off coupon, he will pay $120 - 20*120/100 =$120 - $24 = $96

For this shirt, the 20% off coupon is the best choice.

For shirt B:

Using the $20 off coupon, he will pay $60 - $20 = $40

Using the 20% off coupon, he will pay $60 - 20*60/100 =$60 - $12 = $48

For this shirt, the $20 off coupon is the best choice.

It's clear that the best coupon to use depends on the cost of the shirt.

Choice D. is the correct answer.

The linear function will be;

⇒ y = - 4x + 5

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The functions are,

1. y = - 3x² + 2

2. y = 2x²

3. y = - 4x + 5

4. y = x³

Now,

Since, The linear function has a variable raised to the first power.

Clearly, In first equation;

The highest power of the variable is 2.

So, It is not a linear function.

Clearly, In second equation;

The highest power of the variable is 2

So, It is not a linear function.

Clearly, In third equation;

The highest power of the variable is 1.

So, It is a linear function.

Clearly, In fourth equation;

The highest power of the variable has power 3.

So, It is not a linear function.

Therefore, The linear function will be;

⇒ y = - 4x + 5

Learn more about the linear expression visit:

https://brainly.com/question/26310043

#SPJ1

Answer:

The length is 4

Step-by-step explanation:

Type in the equations into Desmos, and you will find the intersected points in the graph. Then just look at the distance between the 2 points

Answer:

AB=4

Step-by-step explanation:

1. Since you are finding the intersection points of two parabolas:

a. y=-x²+9

b. y=2x²-3

2. You have to set them equal to each other:

2x²-3= - x²+9

2x²+x=9+3

3x²=12

x²=4

This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.

√x²=±√4

x=±2

or

x=2; x=-2

3. Then you substitute them into each equation. For this step, any sign 2 will work.

a. y=-(2)²+9

y=-4+9

y=5

b. y=2(2)²-3

y=8-3

y=5

4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.

5. Now we use the distance formula:

\(\sqrt{(x₂-x₁)^{2} +(y₂-y₁)^{2} }\)

The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.

\(\sqrt{(2+2)^{2} +(5-5)^{2} }\)=

√16=

4

The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.

So AB=4

Answer:

y = −4x^2 + 4x − 3

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Susie needs to select minimum 14 to be sure to get 6 marbles of the same color.

With replacement

(3R, 7G, 10B)

P(at least 1 red marble) = 1- p(no red marbles) = 0.5563

P(2R, 2G, 2B) = 0.0827

P(4B, 4G) = 0.0657

Without replacement

P(at least 1 red marble) = 1- p(no red marbles) = 0.6009

P(2R, 2G, 2B) = 0.0731

P(4B, 4G) = 0.0583

if we select 3+5+5=13 marbles then there is only one way that we won't have at least 6 marbles of the same color when 3R, 5G and 5B are selected, so to get 6 marbles of the same color, we need to select minimum 14, then we will be 100% sure.

To learn more about probability, click here:

brainly.com/question/30034780

#SPJ4

Therefore, the state government should consider investing in new affordable housing initiatives.

a) To compute the 90% confidence interval, we can use the formula:

CI = p ± z*(√(p(1-p))/n)

where p is the sample proportion, z is the z-score corresponding to a 90% confidence level (which is 1.645), and n is the sample size.

Plugging in the values, we get:

CI = 0.517 ± 1.645*(√((0.517)(1-0.517))/4527)

CI = 0.505 to 0.529 (rounded to three decimal places)

b) The 90% confidence interval tells us that we are 90% confident that the true proportion of Californians who considered moving out of the state is between 0.505 and 0.529.

c) Since the confidence interval does not include the value of 0.5, which is the null hypothesis value, we can conclude that there is evidence to suggest that more than 50% of Californians would consider moving out of state due to high cost of housing.

To know more about confidence interval,

https://brainly.com/question/27375978

#SPJ11

Answer:

Technically there's an infinite number of equivalent fractions for 2/3 but to list a few 4/6, 6/9, 8/12, 12/18, 18/27.

Step-by-step explanation:

Hope this helps!

-MoCKEry

Answer:

x=-3,x1/2

Step-by-step explanation:

f(x)=(2x-1)(x+3)

TI find x intercept/zero substitute

f(x)=0

0=(2x-1)x(x+3)

swap the sides of the equation

(2x-1)x(x+3)=0

when the product of factors equals 0,at least one factor is zero

2x-1=0

x+3=0

solve the equation for x

x=1/2

x+3=0

solve the equation of x

x=-3

The equation has two solution

x=-3

x=1/2

Answer: -152

Step-by-step explanation:

(-4)(-19)(-2)=

(-4)*(38)=

-152

Answer:

Essentially, slope is rise/run. Rise is how many units up the graph, and run is how far to the left or right it goes. Rise will be negative if it's going down, and run will be negative if it's going left. There's two ways to find the slope in this case.

1. Stick to the more visual aspect of it, and count how many units up from one point to the next point. Point (1,2) is 2 units up from point (0,0). Then you count how many units right or left it goes. In this case, it's 1 towards the right. This means the rise/run comes out to be 2/1, which means the slope=2.

2. Look at the equations. y=mx+b is the linear format for these lines. y is the y coordinate, m is the slope, x is the x coordinate, and b is the y intercept (the point where x=0). These two lines have shared slope values, which means the slope for both of them is 2.

(please brainliest?)

The rate at which the volume of water in the tank is changing is 58π(dr/dt).

To find the rate at which the volume of water in the tank is changing if the rate at which the height is decreasing is 8 centimeters per minute when the height is 4 meters, we need to use the formula for the volume of a cylinder, which is given by:

V = πr²hwhere V is the volume of the cylinder, r is the radius, and h is the height.

We also need to differentiate the formula for the volume of a cylinder with respect to time to get an equation for the rate of change of the volume of the cylinder. Differentiating the formula for the volume of a cylinder with respect to time, we get:

dV/dt = πr²dh/dt + 2πrhdr/dt

where dV/dt is the rate of change of the volume of the cylinder, dh/dt is the rate of change of the height of the cylinder, and dr/dt is the rate of change of the radius of the cylinder.

Substituting the given values into the formula and simplifying, we get:

dV/dt = π(5²)(-8/100) + 2π(5)(6)(dr/dt) = -2π + 60π(dr/dt) = 58π(dr/dt)

Therefore, the changes in water volume in the tank is 58π(dr/dt).

To know more about volume: https://brainly.com/question/1972490

#SPJ11

Answer:

34, 15, -4, -23 and -42

Step-by-step explanation:

We are to find the first five sequence

when n = 1

f(2) = f(1) - 19

f(2) = 34 - 19

f(2) = 15

when n = 2

f(2+1) = f(2) - 19

f(3) = f(2) - 19

f(3) = 15 - 19

f(3) = -4

when n = 3

f(3+1) = f(3) - 19

f(4) = f(3) - 19

f(4) = -4 - 19

f(4) = -23

when n = 4

f(4+1) = f(4) - 19

f(5) = f(4) - 19

f(5) = -23 - 19

f(5) = -42

Hence the first five terms  in the arithmetic sequence are 34, 15, -4, -23 and -42

The general solution for given equation is y = c₁e^5t + c₂e^-3t - (1/7)e^4t.

A differential equation is an equation that contains at least one derivative of an unknown function, either an ordinary derivative or a partial derivative. Suppose the rate of change of a function y with respect to x is inversely proportional to y, we express it as dy/dx = k/y.

In calculus, a differential equation is an equation that involves the derivative (derivatives) of the dependent variable with respect to the independent variable (variables). The derivative represents nothing but a rate of change, and the differential equation helps us present a relationship between the changing quantity with respect to the change in another quantity. y=f(x) be a function where y is a dependent variable, f is an unknown function, x is an independent variable.

We have to find the general solution for d²y/dt² - 2 dy/dt - 15y = e^4t

Solving the above ordinary differential equation, we get:

y = c₁e^5t + c₂e^-3t - (1/7)e^4t

Thus, the general solution for given equation is y = c₁e^5t + c₂e^-3t - (1/7)e^4t

To learn more about differential equations, visit brainly.com/question/14620493

#SPJ4

Answer:
the first term = y-x

and the fourth term= y+x
and the fifth term = 2y+x

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We can use the Pythagorean Theorem:

\(a^2+b^2=c^2\), where a and b are the two legs and c is the hypotenuse.

Plug in what we know:

\((10)^2+b^2=(12)^2\)

\(100+b^2=144\)

\(b^2=44\)

\(b=\sqrt{44}\approx 6.63\approx7\)

Answer:

About 7 units

Step-by-step explanation:

Since it is a right triangle we apply Pythagoras theorem

\(a {}^{2} + b {}^{2} = c {}^{2} \)

a= square root(144 - 100)

a = about 7

Answer:

∠B = 58°

Step-by-step explanation:

∠A and ∠B are complementary.

-> ∠A + ∠B = 90°

-> 32° + ∠B = 90°

-> ∠B = 90° - 32°

-> ∠B = 58°

Answer:

<B = 58

Step-by-step explanation:

complementary angles are angles that sum up to 90°.

If A and B are angle when added will form 90°, to find B we follow the following steps

A + B = 90

if A = 32°,

32 + B = 90

collect like terms

B = 90 - 32

B = 58

that means

32 + 58 = 90

B = 58

Do mark Brainliest

The length of the entire tunnel is 127.88 meters by using cosine law or formulae.

Here we can use the formulae of cosine when two sides a and b and angle between then is given we can apply it.

\(c^{2} =a^{2} +b^{2} -2ab cos (\alpha )\)

Let us take surveyor as point A

one end of the tunnel denoted by point B

other end of the tunnel denoted by point C.

The length of AB is 101 meters

length of AC is 120 meters.

Measure of angle at point A = 42° + 28° =70°

Now lets find the length of tunnel

=\(\sqrt{(120^{2})+(101^{2})-2.(120)(101) cos (70) }\)

=\(\sqrt{14400+10201-24240(0.34)}\)

=\(\sqrt{24601-8246}\)

\(\sqrt{16355}\)

=127.88 meters.

Hence the length of the entire tunnel is 127.88 meters.

You can find more about cosine law: https://brainly.com/question/28135764

#SPJ9

Answer:

y = -x

Step-by-step explanation:

(0, 0) and ( -100, 100)

m= (y2-y1)/(x2-x1)

m=(100-0)/( -100 -0)

m = 100/ -100

m = -1

y - y1 = m(x - x1)

y - 0 = -1(x - 0)

y - 0 = -x + 0

y = -x

Answer:

Step-by-step explanation:

mean=40/8=5

MAD=(|6-5|+|1-5|+|3-5|+|11-5|+|1-5|+|5-5|)/8

=(1+4+2+6+4+0)/8

=17/8=2,125

The optimal clutch size is 1.

a)The survivorship of an offspring, S, decreases with the clutch size, C.

Therefore, the formula is given as:

S = 0.5 - 0.1C

We need to find the optimal clutch size for this bird species.

We can do this by differentiating S with respect to C, and equating the result to zero.

That is:S = 0.5 - 0.1C => dS/dC = -0.1

Equating dS/dC to zero gives:-0.1 = 0 => C = 0

This implies that there is no optimal clutch size for this species.

However, since C represents clutch size, it must be a positive integer.

Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is

1.b)The optimal clutch size for a species with a survivorship-clutch size relationship of the form S = a - bC can be obtained by following the same procedure as above.

We can differentiate S with respect to C, and equate the result to zero.

That is:S = a - bC => dS/dC = -b

Equating dS/dC to zero gives:-b = 0 => C = 0

This implies that there is no optimal clutch size for this species. However, since C represents clutch size, it must be a positive integer. Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is 1.

learn more about clutch on

https://brainly.com/question/31217422

#SPJ11

a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.

If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.

Mathematically, this can be written as

a = kb and b = mc, where k and m are constants of proportionality.

Multiplying these two equations gives: a = kbm

Substituting the value of b from the second equation in the first equation, we get: a = kmc

Therefore, a and c are also directly proportional to each other with a constant of proportionality km.

Thus, if a increases by a certain factor, c will also increase by the same factor.

If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.

To know more about constants of proportionality visit:

brainly.com/question/8598338

#SPJ11

Answer:

U = 48

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

x+21 + x+23 + x+61 = 180

Combine like terms

3x + 105 = 180

Subtract 105 from each side

3x+105-105 = 180-105

3x = 75

Divide by 3

3x/3 = 75/3

x = 25

We want angle u

x+23

25+23

48

Answer:

48

Step-by-step explanation:

All interior angles of a triangle add up to 180.

\((x+21)+(x+23)+(x+61)=180\)

If you wanted to you could subtract 21, 23, and 61 from 180.

\((x+21)+(x+23)+(x+61)=180\\x+21+x+23+x+61=180\\3x+105=180\\3x=75\)

Then take then number that's left and divide it by three, since they are all in addition to the same variable.

\(\frac{3x}{3}=\frac{75}{3}\\ x=25\)

Then add 25 to 23 which is 48.

The linear approximation of f(1.01) is approximately 1.01.

To approximate f(1.01) using a linear approximation, we need to find the equation of the tangent line to the graph of f(x) at x = 1. We can do this by finding the slope of the tangent line and using the point-slope form of a linear equation.

First, we find the derivative of f(x):

f'(x) = e(1-x)

Then, we evaluate f'(1) to find the slope of the tangent line at x = 1:

f'(1) = e(1-1) = e0 = 1

So the slope of the tangent line is 1.

Next, we find the value of f(1):

f(1) = 2 - e(1-1) = 2 - e0 = 2 - 1 = 1

So the point on the graph of f(x) that corresponds to x = 1 is (1, 1).

Using the point-slope form of a linear equation, we can write the equation of the tangent line as:

y - 1 = 1(x - 1)

Simplifying, we get:

y = x

Now, we can use this equation to approximate f(1.01):

f(1.01) ≈ 1.01

Know more about tangent line here:

https://brainly.com/question/31326507

#SPJ11

Answer:

\( \frac{8}{27} \)

hope that helps you

Answer:

18/31

Step-by-step explanation:

Una caja de ahorros ofrece a sus clientes un interés simple del 8% anual por una imposición de 18.000 € durante 5 años. de los Interés es = 7,200 €

Interés = Principal × Tasa de interés × Tiempo

Dado que el principal es de 18.000 €, la tasa de interés es del 8% anual y el tiempo es de 5 años, podemos sustituir estos valores en la fórmula:

Interés = 18,000 € × 0.08 × 5

Interés = 7,200 €

Por lo tanto, el importe de los intereses generados en ese tiempo es de 7.200 €. Esto significa que al finalizar los 5 años, el cliente habrá obtenido 7.200 € adicionales como resultado de la imposición de 18.000 € con una tasa de interés del 8% anual. Es importante tener en cuenta que este cálculo se basa en la suposición de que el interés es simple y no se acumula ni se reinvierte.

For more such questions on  intereses

https://brainly.com/question/31608291

#SPJ8