During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. Explain in words each step to find the following question:
At what number(s) measures played would the sound level be at 80 decibles?
( I need the answers, plus the steps please and thank youuu :)

Answer:

Step-by-step explanation:

6(6x+6)-5 = 1+6x

36x+36-5 =1+6x

36x+31 = 1+6x

-6x            -6x

30x+31 = 1

      -31  -31

30x = -30

________  (divide)

30

x=-1

Answer:

I don't understand the "table."  I'll assume x increases over a range of values.

Step-by-step explanation:

See attached table.

Answer:

Step-by-step explanation:

Given,

2x = 81 - x [Vertically opposite angles]

=> 2x + x = 81

=> 3x = 81

=> x = 81 ÷ 3

=> x = 27 (Ans)

Your multiple-choice selection has a typo. Notice that choice b and d is the same answer.

For at most we use the (<) symbol.

$3 per apple = 3x.

$2 per orange = 2y.

Answer: 3x + 2y < 123

Answer:

X^8 / 256y^20

Step-by-step explanation:

First to make your life easier with this problem reduce the fraction 5/20 = 1/4

x^3/x = x^3-1= x^2

Then you apply the outer exponent

X^2*4 = X^8

4^4= 256

y^5*4 = y^20

X^8 / 256y^20

According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766). The margin of error is approximately 0.0140.

To construct a confidence interval for the proportion of Americans who drink tea daily, we can use the formula:

Where,

p = the sample proportion

Z = the critical value corresponding to the desired confidence level

n = the sample size

Given:

Now, let's calculate the confidence interval and margin of error:

According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766), with a margin of error of approximately 0.0140.

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The function operation h(8) - f(-7) of the functions f(x) = -4x+1, and h(x) = 19-3x is -34.

A function is simply a relationship that maps one input to one output.

Given the data in the question;

First, solve for the output value of h(8) by replacing x with 8 and simplify.

h(x) = 19 - 3x

h(8) = 19 - 3(8)

h(8) = 19 - 24

h(8) = -5

Next, solve for the output value of f(-7) by replacing x with -7 and simplify.

f(x) = -4x + 1

f( -7 ) = -4( -7 ) + 1

f( -7 ) = 28 + 1

f( -7 ) = 29

Now, replace the function designators with the actual output values.

h(8) - f(-7) =  -5 - ( 29 )

h(8) - f(-7) =  -5 - 29

h(8) - f(-7) =  -34

Therefore, the output of the function operation h(8) - f(-7) is -34.

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Answer:

y=4x

Step-by-step explanation:

The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

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The value of the equation is P ( 4 , 4 ) , where P is the point of intersection of the equations

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A is

4x - 2y = 8  

Adding 2y on both sides of the equation , we get

2y + 8 = 4x

Subtracting 8 on both sides of the equation , we get

2y = 4x - 8   be equation (1)

Now , let the second equation be represented as B

Now , the value of B is

y = ( 3/2 )x - 2

On simplifying the equation , we get

2y = 3x - 4   be equation (2)

Now , subtracting equation (2) from equation (1) , we get

4x - 8 - ( 3x - 4 ) = 0

4x - 8 - 3x + 4 = 0

x - 4 = 0

Adding 4 on both sides of the equation , we get

x = 4

Substitute the value of x = 4 in equation ( 1 ) , we get

2y = 8

y = 4

So , the value of x = 4 and y = 4

The equations are plotted on the graph and the point of intersection is the solution to the equation , P ( 4 , 4 )

Hence , the equations are solved

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Answer:

Step-by-step explanation:

Total number of staffs = 6400 employees

If after the holiday they will decrease their staff bye 30%, the amount of staffs decreased = 30% of 6400

= 30/100 * 6400

= 1920employees.

Amount of staffs that they will have after the holiday = Total staffs - decrement

Amount of staffs that they will have after the holiday = 6400 - 1920

= 4480employees

According to the given figure, minor arc RS, diameter RT, chord PS, central angle QTR, major arc QRS, semicircle QRP, and radius RT

What is a major and minor arc?

An arc is a portion of the circumference of a circle. It is a curve that connects two points on the circumference.  A major arc is an arc that measures more than 180 degrees, which is greater than a semi-circle. It covers more than half of the circumference of the circle. A minor arc is an arc that measures less than 180 degrees, which is less than a semi-circle. It covers less than half of the circumference of the circle.

If the angle formed by the two points and the center is less than 180 degrees, then it is a minor arc. Conversely, if the angle formed is greater than 180 degrees, then it is a major arc.

In summary, a major arc covers more than half of the circumference of the circle and measures more than 180 degrees. A minor arc covers less than half of the circumference of the circle and measures less than 180 degrees.

1. Minor arc RS

2. Diameter RT

3. Chord PS

4. Central angle QTR

5. Major arc QRS

6. Semicircle QRP

7. Radius RT

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Hence, 186 physics textbooks and 114 biology textbooks were sold as it states that 300 textbooks were sold in total.

The formulas 2x + 3 and 7, for instance, are identical when written as 2x + 3 = 7, where x has been the variable. The x-value that fulfils the equality can be found by solving this equation. In this instance, we can take 3 out of both sides to get 2x = 4, and thereafter divide each sides by 2 to get x = 2. To describe relationships amongst quantities and to solve issues, equations are used widely in mathematics as well as in chemistry, chemistry, economics, and other sciences. They are also utilised in daily life, such as in financial computations and the solution of time, distance, and speed-related issues.

given

Assume that x biology textbooks were sold in total.

The issue states that there were 72 more physics textbooks sold than there were biology textbooks. Hence, x + 72 is the total number of physics textbooks sold.

It states that 300 textbooks were sold in total. Thus, we can create the following equation:

\(x + (x + 72) = 300\)

When we simplify and find x, we obtain:

\(2x + 72 = 300\\2x = 300 - 72\)

2x = 228

x = 114

Hence, 114 biology textbooks were sold.

The quantity of sold physics textbooks is given by x + 72, or 114 + 72 = 186.

Hence, 186 physics textbooks and 114 biology textbooks were sold as it states that 300 textbooks were sold in total.

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15) k=15

16) t=7

17) c=12

18) d=7

19) d=3

20) r=5

21) x=4

pls mark me branliest !!

Answer:

6,535.06 feet

Step-by-step explanation:

The set up is right angles

hypotenuse = 7000feet

angle of elevation = 21 degrees

Required

horizontal distance (adjacent)

Using SOH, CAH TOA trig identity

cos theta = adj/hyp

cos 21 =  adj/7000

adj = 7000 cos 21

adj = 7000(0.9336)

adj =  6,535.06

Hence the HORIZONTAL distance until the plane flies over the island is 6,535.06 feet

Answer:

1 necklace will therefore cost 34/4 = $8.5

Step-by-step explanation:

She spent between $39 and $59. let us find the average of the amount she spent = 39+59 / 2 = $49.

At an average, she spent $49.

The price of a bracelet is $5 and each bracelet costs the same amount and she bought 3 bracelets = $5 x 3 bracelets each = $15... She spent $15 on the bracelets.

Thus $49 - $15 = amount spent on the 4 necklaces = $34.

4 necklaces cost $34, 1 necklace will therefore cost 34/4 = $8.5

a. The population mean height of the five players cannot be determined from the given information.

To calculate the population mean height, we need the heights of all the players. However, the table only provides the heights of five players, but we don't know the heights of the remaining players in the population. Therefore, we cannot calculate the population mean height.

b. Sample means for samples of size 2:

A, B: The sample mean of heights for players A and B would be (75 + 76) / 2 = 75.5 inches.

A, C: The sample mean of heights for players A and C would be (75 + 77) / 2 = 76 inches.

A, D: The sample mean of heights for players A and D would be (75 + 79) / 2 = 77 inches.

A, E: The sample mean of heights for players A and E would be (75 + 84) / 2 = 79.5 inches.

B, C: The sample mean of heights for players B and C would be (76 + 77) / 2 = 76.5 inches.

B, D: The sample mean of heights for players B and D would be (76 + 79) / 2 = 77.5 inches.

B, E: The sample mean of heights for players B and E would be (76 + 84) / 2 = 80 inches.

C, D: The sample mean of heights for players C and D would be (77 + 79) / 2 = 78 inches.

C, E: The sample mean of heights for players C and E would be (77 + 84) / 2 = 80.5 inches.

D, E: The sample mean of heights for players D and E would be (79 + 84) / 2 = 81.5 inches.

c. Mean of all sample means:

To find the mean of all the sample means, we add up all the sample means calculated in part (b) and divide by the total number of samples (which is 10 in this case).

Mean of all sample means = (75.5 + 76 + 77 + 79.5 + 76.5 + 77.5 + 80 + 78 + 80.5 + 81.5) / 10 = 78.8 inches.

Therefore, the mean of all the sample means is 78.8 inches.

In conclusion, the answers from parts (a) and (c) are not equal (B). This is because the population mean height cannot be determined from the given information, while the mean of all the sample means is calculated using the provided sample data.

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The factored form of the polynomial P(x) = x³ + 2x² + 4x + 8 is P(x) = (x + 1)(x² + x + 7). The quadratic factor x^2 + x + 7 cannot be further factored into linear factors with real coefficients.

To factor the polynomial P(x) = x³ + 2x² + 4x + 8, we can look for potential roots by applying synthetic division or by using synthetic substitution. In this case, we can start by trying small integer values as possible roots, such as ±1, ±2, ±4, and ±8, using the Rational Root Theorem.

By synthetic substitution, we find that -1 is a root of the polynomial. Dividing P(x) by (x + 1) using long division or synthetic division, we get:

P(x) = (x + 1)(x² + x + 7)

Now, we need to factor the quadratic expression x² + x + 7. However, upon factoring this quadratic expression, we find that it cannot be factored further into linear factors with real coefficients. Therefore, the factored form of P(x) is:

P(x) = (x + 1)(x² + x + 7)

Please note that the quadratic factor x² + x + 7 does not have any real roots. Therefore, the complete factored form of P(x) is as given above.

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Answer:

This is a statistical probability problem that requires the use of the normal distribution. We can use the normal approximation to estimate the number of passengers that actually show up for the flight.

Let X be the number of passengers that show up for the flight. Since there are 560 tickets sold and the probability of a passenger not showing up is 1%, we have that the expected value of X is E(X) = 560 * (1 - 0.01) = 554.4 and the variance of X is Var(X) = 560 * 0.01 * 0.99 = 5.544.

To calculate the probability that there are more passengers showing up for the flight than seats available, we need to calculate the probability that X is greater than 555.

Using the normal distribution, we can calculate this probability as follows:

Z = (555 - 554.4) / sqrt(5.544) = 0.436

Using a normal distribution table or calculator, we can find the probability that Z is greater than 0.436 as P(Z > 0.436) = 1 - P(Z < 0.436) = 1 - 0.6664 = 0.3336.

Therefore, the probability that there are more passengers showing up for the flight than seats available is approximately 0.3336.

To apply the continuity correction, we can adjust the value of 555 to 555.5.

Z = (555.5 - 554.4) / sqrt(5.544) = 0.710

Using a normal distribution table or calculator, we can find the probability that Z is greater than 0.710 as P(Z > 0.710) = 1 - P(Z < 0.710) = 1 - 0.7611 = 0.2389.

Therefore, the probability that there are more passengers showing up for the flight than seats available, with the continuity correction, is approximately 0.2389.

Step-by-step explanation:

Answer:

There is no question. Please provide a question.

Equivalent expressions are expressions with equal values

For two different expressions to be equivalent, then the expressions must have equal values when compared and/or simplified.

The parameters in the question are unclear. So, I will make use of the following expressions to answer the question.

1/3 and 2/6 are equivalent.

This is so because 2/6 can be reduced to 1/3

1/3 and 2/7 are not equivalent

This is so because none of the expressions can be reduced to the other.

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Answer:

3    

1 $ left over

Step-by-step explanation:

                                 10$

         wood              wood                wood  

           3$                      3$                    3$

          she wood only buy 3 and have 1$ left

9x²-24xy+16y²

(3x)²-2.(3x)(4y) +(4y)²

(3x-4y)²

(3x-4y)(3x-4y)

Answer:

\((3x -4y)^2\)

Step-by-step explanation:

\(9x^2 - 24xy + 16y^2 = (3x)^2 - 24xy + (4y)^2\)

                           \(=(3x)^2 -2(3x \times 4y) + (4y)^2\\\)

a = 3x , b = 4y . The expression \(a^2 - 2ab + b^2 = (a-b)(a-b) =(a-b)^2\)

                           \(=(3x -4y)(3x - 4y)\)

\(9x^2 - 24xy + 16y^2 = (3x -4y)^2\)

Answer:

-6 because its lower than 0

Step-by-step explanation:

Interpreting the result, fy(-8, 9) = -243 represents the slope of the function f(x, y) at the point (-8, 9) with respect to the y-direction.

To find the partial derivatives fx(-8, 9) and fy(-8, 9) of the function f(x, y) = \(13 - 9x^4 - y^3,\) we differentiate the function with respect to x and y, respectively, while treating the other variable as a constant.

Taking the derivative of f(x, y) with respect to x, we have:

\(fx(x, y) = -36x^3\)

Evaluating fx at (-8, 9), we substitute x = -8 into the derivative:

\(fx(-8, 9) = -36(-8)^3 = -36 * (-512) = 18,432\)

Interpreting this result, fx(-8, 9) = 18,432 represents the slope of the function f(x, y) at the point (-8, 9) with respect to the x-direction. It indicates the rate at which the function is changing in the x-direction at that point.

Taking the derivative of f(x, y) with respect to y, we have:

fy(x, y) = -\(3y^2\)

Evaluating fy at (-8, 9), we substitute y = 9 into the derivative:

fy(-8, 9) = -\(3(9)^2\) = -3 * 81 = -243

Interpreting this result, fy(-8, 9) = -243 represents the slope of the function f(x, y) at the point (-8, 9) with respect to the y-direction. It indicates the rate at which the function is changing in the y-direction at that point.

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Answer:

A = 40°

Step-by-step explanation:

By inscribed angle theorem we know that the central angle = 2 × inscribed angle; therefore, the central angle is half the inscribed angle.

80°/2 = 40°

Answer:

Any negative number would be a counterexample.

Step-by-step explanation:

Since negative numbers get smaller as you multiply them by a larger number, this would prove this conjecture false.

The three routes are I-405 N, WA-522 E, and WA-202 E. The distance between Seattle and Duvall via I-405 N is approximately 26.2 miles, via WA-522 E is approximately 23.9 miles, while the distance between Seattle and Duvall via WA-202 E is approximately 29.8 miles.

There are several routes that one can take to get from Seattle to Duvall. One of the routes is using I-405 N. The distance between Seattle and Duvall via I-405 N is approximately 26.2 miles. Other routes include taking WA-522 E and WA-202 E. The distance between Seattle and Duvall via WA-522 E is approximately 23.9 miles, while the distance between Seattle and Duvall via WA-202 E is approximately 29.8 miles.

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Answer: Its surface area is 230.8!

Now, I'm not sure if you want it rounded to the nearest whole number, but if so, it's 231. Both answers work depending on your choices.