35 points!

The loudness, L, measured in decibels (Db), of a 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 rock concert with a sound intensity of 10–1?
A.) 2 Db
B.) 22 Db
C.) 60 Db
D.) 110 Db

a writer will use a for the informal language

The number 119.43 when approximated to 1 significant figure is 100

From the question, we have the following parameters that can be used in our computation:

Number = 119.43

The number is to be approximated to 1 significant figure

This means that we approximate all number leaving only the first digit

When this is done, we have

Approximation = 100

Hence, the number in 1 significant figure is 100

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To develop a theory on the relationship between birth week and movie preference, the next steps would be to:

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Answer:

(x+3)²=25

Explanation:

(in progress)

Answer:

(x+3)² = 25

Step-by-step explanation:

We are given the following equation:
2x² + 12x = 32

We want to find what the equation of this will be when we complete the square.

To start, we can divide both sides by 2. The resulting equation will be:

x² + 6x = 16

When completing the square, we add a third number to both sides. This is because we will factor the left side into the form (a+b)².

Recall that (a+b)² = a² + 2ab + b². The 6x is the 2ab in this sense, but because the value of a would be x (a² is x²), 6 = 2b.

If we solve 6 = 2b, then b = 3.

Now, square it to get the third number in the equation. 3² = 9.

We now add 9 to both sides of the equation. We do this in order to balance the equation, because if we add 9 to only one side, the equation will become unbalanced.

x² + 6x + 9 = 16 + 9

x² + 6x + 9 = 25

We can factor the left side to get:

(x+3)² = 25

Independent events are not affected by previous events, that is, the probability of a new event doesn't change from the previous event. However, disjoint sets mean they don't have any data in common, which means the intersection of such sets is impossible. In other words, the events are exclusive, if one occurs, then the other can't occur.

Having said that, we can deduct that scenario 1 represents an independent exclusive event because the occurrence of one event excludes the other. The main reason is that there's just one orange marble.

Answer:

Either x = 0 Or x = 1

Step-by-step explanation:

5^x(x-1) = 1

or, 5^x(x-1) = 5^0

Comparing the corresponding power , we get

x(x-1) = 0

Either,

x = 0/(x-1)

or, x = 0

Or,

x-1 = 0/x

or, x = 0+1

or x = 1

Answer:

B) 5

Step-by-step explanation:

$6000 × 0.03 = $180 - this means that every year, $180 is added to the invested amount.

We can now do $900 ÷ $180 to find out the number of years the money was invested for: $900 ÷ $180 = 5

The money was invested for 5 years

Hope this helps!

Answer:

2/5

Step-by-step explanation:

Answer: W= 4

Step-by-step explanation:

The value of w will be 4.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The expression is;

3(-4W - 5) = -7(5 + w)

Now, Solve the expression as;

3(-4W - 5) = -7(5 + w)

3 × -4w - 3 × 5 = -7 × 5 + (-7) × w

-12w - 15 = -35 - 7w

Add 12w both side;

-12w - 15 + 12w = -35 - 7w + 12w

- 15 = 5w - 35

Add 35 we get;

- 15 + 35 = 5w - 35 + 35

20 = 5w

5w = 20

Divide 5 both side;

w = 4

Thus, The value of w will be 4.

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Answer:

48

Step-by-step explanation:

Since there are:

4 possibilities,

2 possibilities, and

6 possibilities

So the number of possible outcomes is:

4 × 2 × 6

= 48

The product of 1. 61 and 63​ gives 101.43

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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The standard deviation of the sampling distribution of sample means, when creating samples of the amounts of weight lost by 82 people on the latest fad diet, would be approximately 0.54 pounds.

The standard deviation of the sampling distribution of sample means can be calculated using the formula: standard deviation of the sampling distribution = standard deviation of the population / square root of the sample size.

In this case, the standard deviation of the population is given as 4.9 pounds, and the sample size is 82. Therefore, the standard deviation of the sampling distribution of sample means can be calculated as follows:

Standard deviation of the sampling distribution = 4.9 / √82 ≈ 0.541 pounds (rounded to two decimal places).

So, the standard deviation of the sampling distribution of sample means would be approximately 0.54 pounds.

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Answer:

if it says select we cannot give you an answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

44.5

Answer:

42 units²

Step-by-step explanation:

A = \(\frac{(1+6)}{2}\) (12) = 42 units²

Answer:

square

Step-by-step explanation:

i took the test and got it correct

a triangle will create a cone

a circle will create a sphere

and an elipse just doesnt work

Answer:

Square

Step-by-step explanation:

The correct classification and decimal expansion of the fraction 5/8 is a rational number, 0.625.

In summary, the answer states that the fraction 5/8 is a rational number and its decimal expansion is 0.625.

A rational number is a number that can be expressed as the ratio of two integers. In this case, 5/8 can be written as a fraction, with 5 as the numerator and 8 as the denominator. Since both 5 and 8 are integers, the fraction 5/8 is a rational number.

To convert the fraction 5/8 into a decimal, we divide 5 by 8 using a long division or a calculator. The result is 0.625, which is the decimal representation of 5/8. The decimal does not repeat or terminate, so it is a non-repeating decimal.

Therefore, the correct classification of 5/8 is a rational number, and its decimal expansion is 0.625.

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(a) i) The price of the television on the first day of the sale is £360

    ii) The price of the television on the third day of the sale is £288

(a)

i) On the first day of the sale, the price of the television is reduced by 20% of £450, which is:

20/100 × £450 = £90

So the price of the television on the first day of the sale is:

£450 - £90 = £360

ii) On the third day of the sale, the price of the television is reduced by 20% of the price on the second day of the sale. To find the price on the second day, we need to calculate the reduction on the first day and subtract it from the original price:

Reduction on first day = 20/100 × £450 = £90

Price on second day = £450 - £90 = £360

On the second day of the sale, the price of the television is reduced by 20% of £360, which is:

20/100 × £360 = £72

So the price of the television on the third day of the sale is:

£360 - £72 = £288

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The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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Vertex is slang for a corner or a place where two lines converge.The four corners of a square, for instance, are each referred to as a vertex.

The graph of g is a vertical stretch by a factor of 2 followed by a translation of 3 units down of the graph of f(x) = (x-1)²then the function g(x) = 2(x+4)²

f(x) =x²-2x+1 The graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of  .f(x) =x²-2x+1

Rewrite the given function f(x).

f(x) =  (x-1)²

Now, the graph is stretched vertically by a factor of 2.

= 2(-x-1)²

reflect the graph about the y-axis.

2(x+1)²

move to the left by 3 units.

= 2(x+3+1)²

=2(x+4)²

The function g(x) =2(x+4)²

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Answer:

Total cost of dinner = P + 0.15p = 23

Step-by-step explanation:

Consider the information provided.

The cost of dinner at a restaurant is $P.

The tip offered for the service was, $0.15p.

The total of the cost of dinner and the tip offered for the service is:

T = P + 0.15p = 23

Since each side of the pen is being increased by 4 feet, the total increase in perimeter would be 4 feet multiplied by 4 sides, which equals 16 feet.

To determine how many feet of additional fence Craig should purchase, we need to calculate the increase in the perimeter of the enlarged pen. Therefore, Craig should purchase an additional 16 feet of fence to build his enlarged fence.

The original size of the pen is an 8 by 8 feet square, which means each side measures 8 feet. The perimeter of the original pen is calculated by adding up the lengths of all four sides, so 8 + 8 + 8 + 8 = 32 feet.

To enlarge the pen, Craig decides to increase each side by 4 feet. After the enlargement, each side of the pen would measure 8 + 4 = 12 feet. The perimeter of the enlarged pen is calculated in the same way, by adding up the lengths of all four sides: 12 + 12 + 12 + 12 = 48 feet.

To find the additional fence Craig needs to purchase, we subtract the original perimeter from the enlarged perimeter: 48 feet - 32 feet = 16 feet. Therefore, Craig should purchase an additional 16 feet of fence to build his enlarged fence.

This calculation is based on the assumption that the pen remains a square shape after enlargement. If the shape of the enlarged pen differs from a square, the calculation would vary.

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2ⁿ + 2 > 3n for all integers n such that 0 ≤ n < 4. Proof by exhaustion is a technique used to prove a statement by considering each possible case. We are to prove the statement below using this technique: For every integer n such that 0 ≤ n < 4, 2ⁿ + 2 > 3n.

Proof by exhaustion is a technique used to prove a statement by considering each possible case. We are to prove the statement below using this technique: For every integer n such that 0 ≤ n < 4, 2ⁿ + 2 > 3n.

To prove the statement, we can consider the four possible cases for n, which are:

Case 1: n = 0

If n = 0, then 2ⁿ + 2 > 3n becomes: 2⁰ + 2 > 3(0)1 + 2 > 0

This is true, so the statement is true for n = 0.

Case 2: n = 1

If n = 1, then 2ⁿ + 2 > 3n becomes: 2¹ + 2 > 3(1)2 + 2 > 3

This is true, so the statement is true for n = 1.

Case 3: n = 2

If n = 2, then 2ⁿ + 2 > 3n becomes: 2² + 2 > 3(2)4 + 2 > 6

This is true, so the statement is true for n = 2.

Case 4: n = 3

If n = 3, then 2ⁿ + 2 > 3n becomes: 2³ + 2 > 3(3)8 + 2 > 9

This is true, so the statement is true for n = 3.

Since the statement is true for all four possible cases of n, we can conclude that it is true for every integer n such that 0 ≤ n < 4. Therefore, 2ⁿ + 2 > 3n for all integers n such that 0 ≤ n < 4.

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The curvature of the function y = x³ at x = 1 is 6

From the question, we have the following parameters that can be used in our computation:

y = x³

To start with, we need to differentiate the function

So, we have

y' = 3x²

Next, we differentiate the function for the second time to calculate the curvature of the function

So, we have

y'' = 6x

The value of x is 1

So, we have

y'' = 6(1)

Evaluate

y'' = 6

Hence, the curvature of the function y = x³ at x = 1 is 6

See attachment for the graph

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The algorithmic complexity is O(7n), which means the running time is proportional to 7 times the size of the problem.

The algorithmic complexity of an algorithm with a problem size of n is expressed as O(7n). This means that the running time of the algorithm is proportional to 7 times the size of the problem. In other words, when the problem size increases, the running time of the algorithm increases in a linear fashion, with the running time being directly proportional to the number of basic operations being performed. This is because each of the 7 basic operations must be performed for each element of the problem size, and so the larger the problem size, the longer it takes for the algorithm to run. Thus, the algorithmic complexity of the algorithm is O(7n).

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Answer:

c

Step-by-step explanation: