Question What is the decibel level of the noise from a motorcycle with intensity 10-2 watts per square inch? Use a logarithmic model to solve. Provide your answer below: 100 dB​

Answer:

4 5/12

Step-by-step explanation:

19/4 - 1/3 = ?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(19/4, 1/3) = 12

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.

(19/4 × 3/3)− (1/3 × 4/4)=?

Complete the multiplication and the equation becomes

57/12−4/12=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

57−4/12= 53/12

This fraction cannot be reduced.

Answer: 11.5

Step-by-step explanation: turn the improper fraction into proper fraction.

Answer:

x ≈ 3.24

Step-by-step explanation:

using the cosine ratio in the right triangle

cos29° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{x}{3.7}\) ( multiply both sides by 3.7 )

3.7 × cos29° = x , then

x ≈ 3.24 ( to the nearest hundredth )

Answer:

A.

Step-by-step explanation:

y = 25x + 50

We know that the amount of interest paid monthly by a bank’s Visa cardholders is normally distributed with a mean of $27 and a standard deviation of $8.The formula to calculate the proportion of interest payments is, (z-score) = (x - µ) / σWhere, x is the value of interest payment, µ is the mean interest payment, σ is the standard deviation of interest payments.

b) Interest payment more than $36,Interest payment = $36 Mean interest payment = µ = $27 Standard deviation of interest payment = σ = $8 The z-score of $36 is,z = (x - µ) / σ = (36 - 27) / 8 = 1.125 From the standard normal distribution table, the proportion of interest payments more than z = 1.125 is 0.1301.Therefore, the proportion of the bank’s Visa cardholders who pay more than $36 in interest is,Proportion = 0.1301

c) Interest payment less than $16,Interest payment = $16 Mean interest payment = µ = $27 Standard deviation of interest payment = σ = $8 The z-score of $16 is,z = (x - µ) / σ = (16 - 27) / 8 = -1.375 From the standard normal distribution table, the proportion of interest payments less than z = -1.375 is 0.0844.Therefore, the proportion of the bank’s Visa cardholders who pay less than $16 in interest is,Proportion = 0.0844

d) Interest payment exceeded by only 21% of the bank’s Visa cardholders,Let x be the interest payment exceeded by only 21% of the bank’s Visa cardholders. Then the z-score of interest payments is,21% of cardholders pay more interest than x, which means 79% of cardholders pay less interest than x.Therefore, the z-score of interest payment is, z = inv Norm(0.79) = 0.84 Where, inv Norm is the inverse of the standard normal cumulative distribution function.From the z-score formula, we have,z = (x - µ) / σ0.84 = (x - 27) / 8x = 27 + 0.84 * 8x = $33.72 Therefore, the interest payment exceeded by only 21% of the bank’s Visa cardholders is $33.72.

The proportion of the bank's Visa cardholders who pay more than $31 is 0.3085. The proportion of the bank's Visa cardholders who pay more than $36 is 0.1301. The proportion of the bank's Visa cardholders who pay less than $16 is 0.0844. And, the interest payment exceeded by only 21% of the bank's Visa cardholders is $33.72.

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The number of quarters is 16

To compute the determinant of matrix A, we can choose a row or column for cofactor expansion or apply row operations. The determinant of A is 94.

To compute the determinant of matrix A, we can use cofactor expansion along the first row or column. Let's choose the first column for cofactor expansion:

det(A) = (1)(cofactor of element 1) + (0)(cofactor of element 2) + (0)(cofactor of element 3) + (0)(cofactor of element 4) + (0)(cofactor of element 5)

Now, let's calculate the cofactor for each element:

Cofactor of element 1 = (-1)^(1+1) * det(minor of element 1) = (-1)^2 * det([3 7 1 0; 1 0 1 2; 4 0 0 -3]) = 1 * (-(-3)(0)(2) - (1)(1)(0) - (4)(2)(0) + (4)(1)(1)) = 6

Cofactor of element 2 = (-1)^(2+1) * det(minor of element 2) = (-1)^3 * det([0 4 0 0; 1 0 1 2; 4 0 0 -3]) = -1 * (0) = 0

Cofactor of element 3 = (-1)^(3+1) * det(minor of element 3) = (-1)^4 * det([0 4 0 0; 3 1 0 1; 4 0 0 -3]) = 1 * (4(0)(-3) + (3)(0)(4) + (4)(1)(4) - (4)(1)(0)) = -64

Cofactor of element 4 = (-1)^(4+1) * det(minor of element 4) = (-1)^5 * det([0 4 0 0; 3 1 0 1; 1 0 1 2]) = -1 * (4(1)(1) + (3)(2)(0) + (1)(0)(1) - (1)(1)(0)) = 3

Cofactor of element 5 = (-1)^(5+1) * det(minor of element 5) = (-1)^6 * det([0 4 0 0; 3 1 0 1; 1 0 1 2]) = 1 * (4(1)(1) + (3)(2)(0) + (1)(0)(1) - (1)(1)(0)) = 3

Substituting the cofactors back into the determinant formula:

det(A) = (1)(6) + (0)(0) + (0)(-64) + (0)(3) + (0)(3) = 6

Therefore, the determinant of matrix A is 6.

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Answer:

Answer:

The anwser is 2

Step-by-step explanation:

1 for each person

Answer:

The answers are B, D, and E.

Step-by-step explanation:

After I got it wrong the first two times on edge, It showed me the answer.

Have a good morning/afternoon/evening!

Answer:

How many kids own their own instruments? 18

How many kids rent instruments? 72

What percentage of kids rent their instruments? 80%

Step-by-step explanation:

Tell me if it's right

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

Hello, I solved it out for you and I did an example.

Step-by-step explanation:

The different values that could be be the greatest common divisor of the two integers are; 1, 2, 3, 4, 6

Let the numbers be a, b. Thus, the product of the GCD(a, b) and the LCM(a, b) will be ab.

Now, for us to get something to be a factor of the GCD we need to make it be a factor of both a, b. Thus, its' square must be a factor of 180.

Therefore, the only numbers whose square is a factor of 1800 are 1, 2, 3, 4, 6 and as such they are the only GCDs possible.

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The expression that can be used to find the area of triangle RST is (8 ∙ 4) - (5 6 8).

This is because the formula to find the area of a triangle is

A = 1/2 bh, where b is the base of the triangle and h is the height of the triangle.

In this case, the base is 8 and the height is 4, so the area is 1/2 (8)(4) = 16.

Therefore, the expression (8 ∙ 4) - (5 6 8) can be used to find the area of triangle RST.

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Correct question Which expression can be used to find the area of triangle RST?

1) (8 ∙ 4) - 1/2 (10 + 12 + 16)

2) (8 ∙ 4) - (10 + 12 + 16)

3) (8 ∙ 4) - 1/2 (5 + 6 + 8)

4) (8 ∙ 4) - (5 - 6 - 8)

Step-by-step explanation:

Givens:

∠RPQ ≅ ∠ RTS

R midpoint of QS

Statement                                        Reasoning

1. QR ≅ SR                                        Definition of midpoint

2. ∠PRQ ≅ ∠TRS                              Vertical Angles

3.  Triangle PQR ≅ Triangle TSR     AAS

The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.

Z-score: Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean. Standard deviation is essentially a reflection of the amount of variability within a given data set.

given that a synthetic fiber used in manufacturing carpet has a tensile strength that is normally distributed with a mean 75.5 psi and standard deviation 3.5 psi

z = (raw score - mean) / (sample standard deviation - standard deviation)

n = 6; mean=75.5 psi; standard deviation=3.5 psi.

For (greater than) > 75.75,

z = (75.75 - 75.5) / (3.5 ÷√6) = 0.17

P(z > 0.17) = 1 - P(z < 0.17) = 1 - 0.5675 = 43.25%

The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.

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Answer:

1.2 minutes per lap

Step-by-step explanation:

When a\(_{n}\) = \(2^{n}\)+ n,  a₀ = 1,  a₁ = 3,  a₂ = 6, and a₃ = 11  

When a\(_{n}\) = n^(n+1)!,  a₀ = 0,  a₁ = 2,  a₂ = 2⁶, and a₃ = 3²⁴  

When a\(_{n}\) =  [n/2], a₀ = 0,  a₁ = 1/2,  a₂ = 1, and a₃ = 3/2      

When a\(_{n}\) = [n/2] + [n/2], a₀ = 0,  a₁ = 1,  a₂ = 2, and a₃ = 3/2  

Number sequence

A number sequence is a progression or a list of numbers that are directed by a pattern or rule.

Here,

a₀, a₁, a₂, and a₃ are terms of a sequence

from option a, a\(_{n}\) = \(2^{n}\)+ n

⇒ a₀  = 2⁰+ 0 = 1+0 = 1

⇒ a₁  = 2¹+ 1 = 2+1 = 3

⇒ a₂, = 2²+ 2 = 4+2 = 6

⇒ a₃  = 2³+ 3 = 8 +3 = 11  

from option b, a\(_{n}\) = n^(n+1)!

⇒ a₀  = 0^(0+1)! = 0

⇒ a₁  = 1^(1+1)! = 2² = 2

⇒ a₂, = 2^(2+1)! = 2^(3)! = 2⁶          [ ∵ 3! = 6 ]

⇒ a₃  = 3^(3+1)! = 3^(4)! = 3²⁴         [ ∵ 4! = 24 ]

from option c, a\(_{n}\) =  [n/2]          

⇒ a₀  = [0/2] = 0

⇒ a₁  = [1/2] = 1/2

⇒ a₂, = [2/2] = 1

⇒ a₃  = [3/2] =  3/2  

from option d, a\(_{n}\) = [n/2] + [n/2]

⇒ a₀  =  [0/2] + [0/2] = 0

⇒ a₁  =  [1/2] + [1/2] = 1/2 + 1/2 = 1

⇒ a₂, = [2/2] + [2/2] = 1 + 1 = 2

⇒ a₃  =  [3/2] + [3/2] = 6/4 = 3/2

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The Complete Question is -

What are the terms a₀, a₁, a₂, and a₃ of the sequence {a\(_{n}\)}, where a\(_{n}\) is where a\(_{n}\) equals

a. \(2^{n}\) + n                    b. n^(n+1)!

c. [n/2]                      d. [n/2] + [n/2]

Solve  n-3 = 4 x 3 - n/7 : n = 105/8

What is Algebra?

Mathematics has several different subfields, including algebra. Algebra is the study of mathematical symbols and the rules for using them in formulas; it is a common thread that runs through practically all of mathematics.

To solve the equation :

n-3 = 4 x 3 - n/7

Solve for n

n-3 = 4 x 3 - n/7

n - 3 = 12 - n/7

n = 12 + 3 - n/7

n = 15 - n/7

n = (105 - n)/7

7n = 105 - n

7n + n = 105

8n = 105

n = 105/8

Hence, solution for n-3 = 4 x 3 - n/7 is n = 105/8

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a) Marginal probability distributions for X and Y are: X 1 2 P(y) Y 0 0.30 0.10 1 0.40 0.20 P(x) 0.50 0.50 and b) Corr(X,Y) = -1.68 and c) Var(W) = -0.34

a) Marginal probability distributions for X and Y are: X 1 2 P(y) Y 0 0.30 0.10 1 0.40 0.20 P(x) 0.50 0.50

b) The covariance and correlation for X and Y are:

Cov(X,Y)= E(XY) - E(X)E(Y)

Cov(X,Y)= (1 * 0 + 2 * 0.3 + 1 * 0.1 + 2 * 0.2) - (1 * 0.5 + 2 * 0.5)(0 * 0.5 + 1 * 0.4 + 0 * 0.1 + 1 * 0.2)

Cov(X,Y)= (0 + 0.6 + 0.1 + 0.4) - (0.5 + 1) (0.4 + 0.2)

Cov(X,Y)= 0.12 - 0.9 * 0.6

Cov(X,Y)= 0.12 - 0.54

Cov(X,Y)= -0.42

Corr(X,Y)= Cov(X,Y)/σxσyσxσy

= √[∑(x-µx)²/n] × √[∑(y-µy)²/n]σxσy

= √[∑(x-µx)²/n] × √[∑(y-µy)²/n]σx

= √[∑(x-µx)²/n]

= √[(0.5 - 1.5)² + (0.5 - 0.5)² + (0.5 - 1.5)² + (0.5 - 1.5)²]/2σx

= 0.50σy

= √[∑(y-µy)²/n]

= √[(0 - 0.5)² + (1 - 0.5)²]/2σy

= 0.50

Corr(X,Y) = Cov(X,Y)/(0.50 * 0.50)

Corr(X,Y) = (-0.42)/0.25

Corr(X,Y) = -1.68

c) The mean and variance for the linear function W = X + Y are:

Hw = E(W)

Hw = E(X + Y)

Hw = E(X) + E(Y)

Hw = 1.5 + 0.5

Hw = 2

Var(W) = Var(X + Y)

Var(W) = Var(X) + Var(Y) + 2Cov(X,Y)

Var(W) = 0.25 + 0.25 - 2(0.42)

Var(W) = 0.50 - 0.84

Var(W) = -0.34

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A quadratic expression is a polynomial of the second degree and has the general form of ax^2 + bx + c. It is also known as a quadratic polynomial or simply a quadratic.

The quadratic expression \(\[x^2-8x-48\]\) may be factorised by using a method known as factorisation by grouping, in which the polynomial is split into two pairs of terms, and each pair is then factorised.

The quadratic can be written as:

\(\[x^2 - 8x - 48\] \[= x^2 - 12x + 4x - 48\] \[= x(x - 12) + 4(x - 12)\] \[= (x - 12)(x + 4)\]\)

Therefore, the quadratic expression is factorised as \(\[(x-12)(x+4)\]\).

Answer: The quadratic expression \(\[x^2-8x-48\]\) is equal to (x-12)(x+4) after factorisation.

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Answer:

2.94

Step-by-step explanation:

In the picture below

Answer:

Deductive Reasoning.

Step-by-step explanation:

Basically it’s logical thinking in simply terms.

Answer:

r = 10.72 cm

Step-by-step explanation:

h = 6 cm

Volume of cone = 722 cubic cm

\(\frac{1}{3}\pi r^{2}h=722\\\\\frac{1}{3}*3.14*r^{2}*6=722\\\\r^{2}=\frac{722*3}{3.14*6}\\\\r^{2}=114.97\\\\r = \sqrt{114.97}\\\\r = 10.72\)

The height of the pyramid is approximately 90.81 inches.

A pyramid is a type of geometric solid with a triangle base and polygonal faces that meet at the top, or apex. Any polygon, such as a triangle, square, or pentagon, can serve as the pyramid's base, and the number of faces, edges, and vertices depends on the base's form. The pyramids of Giza in Egypt are only one example of the numerous ancient civilizations that employed pyramids as a frequent architectural element.

The Pythagorean theorem may be used to calculate the height of a pyramid, which is the vertical distance between its peak and base. Call this height "h" for short. We may construct the equation shown below:

h² = slant height² - (1/2 × base side)²

Substituting the given values, we get:

h² = (92.4 in)² - (0.5 * 24.8 in)²

h² = 8559.36 in² - 307.52 in²

h² = 8251.84 in²

Taking the square root of both sides, we get:

h = √(8251.84 in²)

h = 90.81 in

Therefore, the height of the pyramid is approximately 90.81 inches.

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As a percentage, this is 56.25%, which is closest to 56% from the provided options. Therefore, 56% of the variance is shared variance

The coefficient of determination is calculated by squaring the correlation coefficient (r) between x and y. In this case, the correlation coefficient is 0.75. To find the shared variance (coefficient of determination), simply square this value:

0.75² = 0.5625

As a percentage, this is 56.25%, which is closest to 56% of the provided options. Therefore, 56% of the variance is shared variance.

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The viridine is shared variance percent 56.25%.

The coefficient of determination, also known as R-squared.

The proportion of the variance in the dependent variable (y) that is explained by the independent variable (x).

It is calculated as the square of the correlation coefficient (r) between x and y.
The correlation between x and y is.

.75, the coefficient of determination can be calculated as\((.75)^2 = .5625,\)which is equivalent to 56.25%.
This means that 56.25% of the variance in y can be explained by the variance in x.

The remaining 43.75% of the variance is attributed to other factors not accounted for by x.
It is important to note that correlation does not imply causation.

A high correlation between two variables does not necessarily mean that one variable causes the other.

It simply means that there is a strong relationship between the two variables.

It is important to consider other factors and potential confounding variables when interpreting the relationship between x and y.

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Answer:

67.38

Step-by-step explanation:

SinX=opp/hyp

Angles then arcsin

Answer:

The triangle is about 253cm smaller than the pentagon

Step-by-step explanation:

Answer:

The triangle is 253cm^2 less than the pentagon.

Step-by-step explanation:

I got it right on the test.

Answer:

1/6

Step-by-step explanation:

1/3×2/4 = 2/12

2/12 = 1/6

Find the discount price and subtract from the total to find the sale price.

To find the discount price, multiply 90 b 40% (convert 40% into decimal)

90 x 0.4 = 36

Next, subtract the discount from the total to find the sale price.

90 - 36 =  54

So, the sale price is $54.

Answer: 30t + 30m ≤ 330

Step-by-step explanation:

The maximum amount of pounds the truck can carry is 330 pounds so whatever will be carried has to either be equal to or less than 330 pounds.

= ≤ 330

t represents the number of bags of top soil and m represents the number of bags of mulch.

Each bag of top soil is 30 pounds and each bag of mulch is 30 pounds as well.

= 30t + 30m

Put together;

30t + 30m ≤ 330

Answer:

q(m+n-p)

Step-by-step explanation:

qm+qn-qp

Since, q is the highest common factor, so we'll take q as common

=> q(m+n-p)

This is the required factorized form.

Answer:

q(m+n-p)

Step-by-step explanation:

q is the common factor in all three terms, so take that to go outside the brackets.

What goes inside the brackets depends on the quotient you get upon dividing each term by q.

Here,

qm becomes m

qn becomes n

-qp becomes -p.

Arrange the. Back in the way mentioned.

Hope this helps