The intensity in watts per meter squared of 85.0-dB sound is 0.316 watts per meter squared.
What is the watts per square meter of an 85.0 dB sound?To calculate the intensity in watts per meter squared of 85.0-dB sound, we first need to convert the dB sound level to a ratio.
This is done by calculating 10 raised to the power of the dB sound level divided by 10.
Therefore, 10^(85.0/10) = 316.
Next, we need to convert the ratio to intensity in watts per meter squared. This is done by dividing the ratio by 1,000,000.
Therefore, 316 / 1,000,000 = 0.000316.
Finally, we need to convert the intensity in watts per meter squared to a more readable number. This is done by multiplying the intensity by 1,000,000.
Therefore, 0.000316 * 1,000,000 = 0.316 watts per meter squared.
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The intensity in watts per meter squared of 85.0-dB sound is 0.316 watts per meter squared.
What is an 85.0 dB sound's watts per square meter?We must first translate the dB sound level into a ratio in order to determine the intensity of 85.0-dB sound in watts per square meter.
To do this, divide the decibel sound level by 10 and multiply the result by 10 raised to that power.
Consequently, 10 (10/85.0) = 316.
The ratio must then be changed to intensity in watts per square meter. To do this, double the ratio by 1,000,000.
316 divided by 1,000,000 equals 0.000316.
Finally, we must translate the intensity measured in watts per square meter into a more understandable value. The intensity is multiplied by 1,000,000 to achieve this.
Therefore, 0.316 watts per square meter are equal to 0.000316 * 1,000,000.
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Pt.2 Can someone review my answers please? Thank you!
Answer:
Step-by-step explanation: Whats you answer? cant see it.
Find the missing side length of the following right triangle. x
Answer24
Step-by-step explanation:
A sample of bacteria begins with 38 cells and triples in size every 40 minutes.
Approximately how many minutes will it take for there to be 100,000 bacteria
in the sample?
It will take approximately 197.36 minutes for the sample to reach 100,000 bacteria.
Calculate the growth rate of bacteria in each 40 minute interval by dividing 3 (the amount of growth) by 40 (the time interval):
Growth rate = 3/40 = 0.075
Calculate the number of growth periods necessary to get from 38 to 100,000 bacteria. To do this, divide the desired number of bacteria (100,000) by the initial number of bacteria (38):
Growth Periods = 100,000/38 = 2,631.57
Calculate the total time required for the sample to reach 100,000 bacteria by multiplying the growth rate (0.075) by the number of growth periods (2,631.57):
Total Time = 0.075 x 2,631.57 = 197.36 minutes
Therefore, it will take approximately 197.36 minutes for the sample to reach 100,000 bacteria.
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Valentino is a patient in a nursing home for 61 days of 2020. While in the nursing home, he incurs total costs of $27,816. Medicare pays $16,690 of the costs. Valentino receives $30,598 from his long-term care insurance policy, which pays while he is in the facility. Assume that the Federal daily excludible amount for Valentino is $380.
Of the $30,598, what amount may Valentino exclude from his gross income?
A person who purchases his/her own policy can exclude the benefits from gross income. It's also good to note that statutory limitations exist for the following amounts:
Benefits that have been collected under the employer's plan
Premiums that have been paid by the employer
benefits that have been collected from the individuals' policy. Therefore the amount Valentino may exclude will be calculated as follows;
Daily statutory amount in 2020 (380 * 61)
= $23180.
Actual cost of care $27816 $23180
Less: Amount received from Medicare ($16690)
Equal amount of exclusion ($6490)
Thus:
Valentino must include (30598 - 6490)=$6800 of the long-term care benefits received in his gross income.
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uncle henry has ten one-dollar bills to distribute among his five youngest nieces and nephews. how many ways are there to distribute his money?
1001 ways are there to distribute the money of Uncle Henry to his nieces and nephews.
He may donate the entire sum to one child (five ways).
He could give each youngster two bucks (one way).
He may offer $0.00, $1.00, $2.00, $3.00, and $4.00 in five different ways.
Henry will put the dividers on the left and the banknotes on the right. Money to the left of the first divider goes to the youngest kid, money between the first and second dividers goes to the child after that, and so on.
For example, the first kid receives $1, the second receives $2, the third receives $1, the fourth receive nothing, and the fifth receives $6.
It is merely a matter of selecting the number of arrangements of 10 bills and four dividers using this model:
[tex]\frac{14 !}{(10 !)(4 !)}=1,001, \text { or: } 14 C 4=1,001[/tex]
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There are 1001 ways to distribute Uncle Henry's money to his nieces and nephews.
He might give one youngster the full amount (five ways).
He could give each child two dollars (one way).
He can make five separate offers of $0.00, $1.00, $2.00, $3.00, and $4.00.
Henry will arrange the banknotes on the right and the dividers on the left. The youngest child receives the money to the left of the first divider, the following child receives the money between the first and second dividers, and so forth.
The first child gets $1, the second gets $2, the third gets $1, the fourth gets nothing, and the fifth gets $6, for instance. Using this model, it is only a matter of choosing the quantity of arrangements of 10 bills and 4 dividers.
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a baseball player went up to bat 250 times in a season. he hit the ball times. find the rate of balls hit to times at bat. express as a simplified fraction.
If the baseball player went up to bat 250 times in a season and hits the ball 100 times then the rate of balls hits to times at bat is 2/5 .
the number of times the player went up to bat is = 250 times ;
the number of times he hits the ball is = 100 times ;
So , the rate of balls hit to times at bat is calculated as :
= (number of times he hits the bat)/(number of times player went to bat)
substituting the required values in formula ,
we get ;
= 100/250 ;
writing the fraction in the simplified form ,
we have ⇒ 2/5 .
Therefore , the rate of balls hit to times at bat in simplified fraction is 2/5 .
The given question is incomplete , the complete question is
A baseball player went up to bat 250 times in a season. he hit the ball 100 times. find the rate of balls hit to times at bat. express as a simplified fraction.
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5 2/5 divided by 7 =?? Whats the answer?
Answer:189/2
Step-by-step explanation:
1. Express 40 1/4% as a fraction (simplest form)
2. Express 65 5/8% as a fraction (simplest form)
Answer: To express 40 1/4% as a fraction, we can convert the percentage to a fraction with a denominator of 100: 40 1/4% = 40.25/100.
To simplify this fraction we can divide both the numerator and denominator by the greatest common factor (GCF) which is 25.
So, (40.25/100) = (4025/10000) = (161/400)
To express 65 5/8% as a fraction, we can convert the percentage to a fraction with a denominator of 100: 65 5/8% = 65.625/100.
To simplify this fraction we can divide both the numerator and denominator by the greatest common factor (GCF) which is 625.
So, (65.625/100) = (65625/10000) = (261/400)
Therefore, the simplest form of 40 1/4% as a fraction is 161/400, and 65 5/8% as a fraction is 261/400
Step-by-step explanation:
Rhonda and Shalene live together in an apartment, so they combine their income each week to pay for
their rent and bills. Rhonda's paycheck is modeled by the function r(x) = 22x + 50, where x is the
number of hours worked. Shalene's paycheck is modeled by the function s(x) = 30x – 25, where x is the
number of hours worked.
Which function represents their household income if they work the same number of hours?
A. (s - r)(x) = -8x + 75
B. (r + 3)(x) = 52x + 25
C. (r + s)(x) = 52x + 75
D. (r - 5)(x) = 8x - 75
The function that represents their household income if they work the same number of hours is 52x + 25.
Therefore the answer is B. (r + s)(x) = 52x + 25
Rhonda's paycheck is modeled by the function r(x) = 22x + 50, where x is the number of hours worked.
Shalene's paycheck is modeled by the function s(x) = 30x – 25, where x is the number of hours worked.
The function that represents their household income if they work the same number of hours can be determined by adding their individual income
(r + s)(x) = 22x + 50 + 30x - 25
(r + s)(x) = 52x + 25
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A triangle has two sides of length 18.1 and 16.6. What compound inequality describes the possible lengths for the third side, x?
Answer:
1.5 < x < 34.7
Step-by-step explanation:
You want a compound inequality describing possible lengths (x) for the third side of a triangle with sides 18.1 and 16.6.
Triangle inequalityThe shortest side cannot be any shorter than the difference of the two known sides:
18.1 -16.6 = 1.5
The longest side cannot be any longer than the sum of the two known sides:
18.1 +16.6 = 34.7
The possible lengths of the third side are given by ...
1.5 < x < 34.7
__
Additional comment
If the third side is exactly equal to the sum or the difference, then the "triangle" looks like a line segment. It has zero area. That possibility is usually disallowed. If you want to allow it, then change < to ≤ in the inequality.
PLEASE HELP Select the correct answer.
Simplify the following expression.
The simplified form of the expression is option C. (3)^5/12 * (4)^2/3.
Simplification of an exponential expression.An exponential expression is one which has the value of the power of one of its terms to be greater than 1 or in a fraction form. Thus some laws are required to simplify a given exponential expression. These laws are sometimes referred to as the law of indices.
Considering the given question;
(3^2/3 * 3^3/2)^5/12 x (4^2/3)
Simplifying this expression requires applying required laws, so that;
(3^2/3 * 3^3/2)^5/12 = (3^6/6)^5/12
= (3^1)^5/12
= 3^5/12
(3^2/3 * 3^3/2)^5/12 = 3^5/12
Therefore, we have;
(3^2/3 * 3^3/2)^5/12 x (4^2/3) = (3)^5/12 x (4)^2/3
Thus the simplified form is option C.
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Helppppp!!!! Question: Jimmy’s friend Tom also wants to save money to buy concert tickets. He draws up the following savings plan. Each week Tom will raise $4 to the number of weeks he has been working and add that amount to his savings during the first 3 weeks of his new job. Use summation notation to write the sum and find the total amount Tom will save in three weeks.
The summation notation of the sum is:
[tex]Sum = \[ \sum_{n=1}^{3} (4^{n})\][/tex]
The total amount is $84.
How to use summation notation to write the sum?Summation notation, also known as sigma notation, is a mathematical notation used to represent the sum of a sequence of numbers. The notation typically uses the Greek letter sigma (∑) to represent the operation of summation.
Since each week Tom will raise $4 to the number of weeks he has been working and add that amount to his savings during the first 3 weeks of his new job.
Let n represent the number of weeks
Thus, this can be written using summation notation as:
[tex]Sum = \[ \sum_{n=1}^{3} (4^{n})\][/tex]
Thus, the total amount = 4¹ + 4² + 4³ = $84
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If you were to sketch a circle graph for the data shown in the table below approximately what fraction of the circle would represent food
-----------------------------------------
vacation expenses budget
expense | amount budgeted
activities | $600
food | $450
souvenirs| $270
35% of the circle would represent the food budget.
What is a radian?The radian is the unit of angle in the International System of Units and is the standard unit of angular measure used in many areas of mathematics
Given are the vacation expenses budgets labeled in a circle graph.
We can write the total budget as equivalent to the Area of the circle as -
${600 + 450 + 270} → πr²
$1320 → πr²
$1 → πr²/1320
$450 → πr²/1320 x 450 = 0.35 πr²
Therefore, 35% of the circle would represent the food budget.
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- 10x + 2y = 4
.-9x + 3y = 18
Solved by substitution
Answer:
To solve a system of equations by substitution, we can use one equation to solve for one variable in terms of the other variable, and then substitute that expression into the other equation.
Given the system of equations:
10x + 2y = 4
.-9x + 3y = 18
We can start by isolating y in one of the equations. For example, we can use the first equation:
10x + 2y = 4
To solve for y, we can divide both sides by 2:
y = -5x + 2
Now we can substitute this expression for y into the second equation:
-9x + 3(-5x + 2) = 18
-9x - 15x + 6 = 18
-24x + 6 = 18
-24x = 12
x = -0.5
Now that we know x = -0.5, we can substitute this value back into the original expression we found for y:
y = -5(-0.5) + 2
y = 2.5
So the solution of the system of equations is (x, y) = (-0.5, 2.5).
Juwan makes 12 baskets in 40 minutes. If he continues making baskets at this rate, how many baskets will he make in 90 minutes?
The required number of baskets made in 90 minutes are 27 baskets.
It is given that Juwan makes 12 baskets in 40 minutes and continues to make the baskets for 90 minutes.
Number of baskets made in 90 minutes = ?
So, let us calculate the number of baskets made in 1 minute.
40 min - 12 baskets
1 min - 12/40 baskets
Now, we need to find out the number of baskets made in 90 minutes.
90 min - ?
1 × 90 min - 90 × 12/40 = 27 baskets
Thus, the required number of baskets made in 90 minutes are 27 baskets.
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NEED HELP ASAP - Algebra 2
It is possible to have a rational function where the denominator can have no zeroes and thus the function itself will have no singularity. Such a function will have no vertical asymptotes.
What is a rational function?A rational function is one that can be written as a polynomial divided by a polynomial. Since polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros of the denominator. Example 1. f(x) = x / (x - 3). The denominator has only one zero, x = 3.
Given, In a rational function, R(x): = P(x)/Q(x)
p/q is a form of rational function.
q is not zero since divisor cannot be 0.
If we divide any function by 0 the operation is considered as undefined.
A rational function has at most one horizontal or oblique asymptote, and possibly many vertical asymptotes.
First, factor both the numerator and the denominator. Then, cancel out any common factors. A common factor does not give rise to a vertical asymptote, but it does create a hole if the zero of the common factor is real. Next, find the zeros for all of the remaining factors in the denominator after canceling out the common factors. For each zero in the denominator, there will be a vertical asymptote at that zero.
Therefore, The simples example I can give you for such a rational function would the f(X) = X, defined over the real numbers.
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what is the volume of this triangle ( im confused and need help)
Answer:
672
Step-by-step explanation:
1. Multiply the length, width, and height of the triangle.
14 x 12 x 8 = 1,344
2. Divide by 2.
1,344/2 = 672
Answer:
672 Feet^3
Step-by-step explanation:
Volume of a triangle = 1/2 (B)(H)(L)
B = base
H = height
L = length
I see you've found the numbers for B, H, and L so great start.
B = 12
H = 8
L = 14
So now its just plug and play
(12)(8) = 96
(96)(14) = 1344
And lastly (1/2)(1344) = 672 cubic feet
58 2/3 as a fraction in simplest form
Answer:
176/3
Step-by-step explanation:
58 2/3 = 58 + 2/3 = 58/1 + 2/3 = 174/3 + 2/3 = 176/3
Find the dimensions of the figure. Round your answer to the nearest thousandth.
The Dimension of parallelogram is 7.57 inches . A special type of quadrilateral known as a parallelogram has opposite sides that are parallel and equal.
What is the area of the parallelogram?A parallelogram is a two-dimensional shape with four sides. The sides of this particular example of a quadrilateral are parallel and equal. The area of a parallelogram is the space enclosed by its four sides. The area of a parallelogram is calculated by multiplying its height by its length.
Given:Area of Parallelogram = b × h
area is 63.9 in x in.
Area of Parallelogram = b × h 63.9
= x+6.5 × x 63.9-6.5
= 57.4 x
= 7.57 inches x
height = dimension = 7.57 inches
Why is the height multiplied by the base area of a parallelogram?
Because it can be rearranged into a rectangle with the same area, the area of a parallelogram is the base times the height. A particular kind of parallelogram is a rectangle.
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A can of soda can be modeled as a right cylinder. Levi measures its radius as 2.4 cm and volume as 152 cubic centimeters. Find the height of the can in centimeters. Round your answer to the nearest tenth if necessary. Answer: \text{ cm} cm
The height of right circular cylinder is 8.4 cm.
Given that,
The radius = r = 2.4 cm
Volume = 152 cubic cm
Let height of right circular cylinder = h
We know that,
The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centres of the cylinder's two bases. This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.
And we know that,
Volume of right circular cylinder = πr²h
152 = 3.14 x 2.4 x 2.4 x h
⇒ h = 8.4 cm
Hence, height is 8.4 cm.
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Need help, on this please!
what metric unit would be best to measure the amount of spices put into a batch of cookies? responses
Grams are the ideal unit for calculating the quantity of spices in a batch of cookies (g).
A system of measurements is called the metric system. It is employed in calculations and research across the globe. Here are some instances of measurements made with the metric system:
The unit used to measure lengths and distances is the meter. In daily life, we use this unit to measure things like the length of a piece of clothing, the distance from school to home, etc.
You may have noticed that the bag of your favorite food has a weight listed on it. 250 grams of potato chips, as an illustration. The unit of weight used here is the gram.
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the 20th term in a sequence is x 25. the 40th term in a sequence is x 105. write an equation for the arithmetic sequence by filling in the blanks
The arithmetic sequence is x+4n -55.
Given that,
20th term is = x + 25
a20 = a +19d = x + 25,
40th term is = x + 105
a40 = a +39d = x + 105,
now subtract a20 by a40,
a40 - a20
a + 19d - (a + 39d) = x + 25 - (x + 105)
20d = x + 25 -x - 105
20d = 80
d= 4.
a1 = a20 - 19d
a1 = x+ 25 - 19 x 4
a1 = x -51
so,
an = a1 + (n-1)d
an = x- 51 + (n-1)4
an = x- 51 + 4n - 4
an = x + 4n -55.
so, The arithmetic sequence is x+4n -55.
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amy needs to mail a usb drive to a friend. she uses 41-cent stamps and 7-cent stamps to pay $1.79 in postage. how many of each stamp did amy use?
So, Amy used 30 stamps of 41-cent stamps and 17 stamps of 7-cent stamps.
This is a system of equations problem. We can call the number of 41-cent stamps x and the number of 7-cent stamps y.
The two equations are:
x + y = total number of stamps used
0.41x + 0.07y = 1.79 (the total cost of the postage in dollars)
We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for y in terms of x:
y = total number of stamps used - x
Then we can substitute this into the second equation:
0.41x + 0.07(total number of stamps used - x) = 1.79
Solving for x,
x = (1.79 - 0.07*total number of stamps used) / 0.41
We can substitute this into the first equation to solve for total number of stamps used.
x + y = total number of stamps used
x + (total number of stamps used - x) = total number of stamps used
2x = 1.79/0.41 + 0.07/0.41
x = (1.79/0.41 + 0.07/0.41)/2
x = (1.79 + 0.07)/(0.41*2)
So, x = 30 stamps of 41-cent stamps
and y = (total number of stamps used - x) = (total number of stamps used - 30) = (1.79/0.48 - 30) = 17 stamps of 7-cent stamps
So, Amy used 30 stamps of 41-cent stamps and 17 stamps of 7-cent stamps.
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RS bisects MO at N. If MN= 5x + 8 and NO= 10 + 3x find the value of x.
Answer:
Given that RS bisects MO at N, we know that:
RN = RO (by definition of a bisector)
MN + NO = MO (by the angle bisector theorem)
Given that MN = 5x + 8 and NO = 10 + 3x, we can substitute these values into the second equation to find the value of x.
MN + NO = MO
(5x + 8) + (10 + 3x) = MO
8x + 18 = MO
Now we can use the first equation to find the value of x.
RN = RO
5x + 8 = 10 + 3x
3x = 2
x = 2/3
Therefore, the value of x is 2/3.
consider the 12 face diagonals of a rectangular block. how many pairs of them are skew lines? (two lines in space are skew if they do not intersect and they are not parallel.)
Considering the 12-face diagonals of a rectangular block, 30 pairs of these diagonals are skew lines.
In a rectangular block, there are a total of 12 face diagonals. These diagonals are formed by connecting the opposite vertices of each face of the block. To determine the number of pairs of skew lines among these diagonals, we can consider the following:
There are 6 faces in a rectangular block, each with 2 diagonals.
Every diagonal on one face is unique and does not intersect with any other diagonal on the same face.
However, diagonals on opposite faces are parallel to each other and therefore, do not form skew lines.
So, we will be selecting one diagonal from one face, so we have 6 options, then we select another diagonal from another face, which would be 5 options, and we repeat this process until we exhaust all the diagonals. This will give us 6*5 = 30 pairs of skew lines.
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HELP ME PLEAE ASAP!!!!!!!!!!!!
here is an equation: 4x - 4 = 4x + _. What could you write in the blank so the equation would be true for:
a. No values of x
b. All values of x
c. One value of x
The value to write in the blank so the equation would be true is -4. Option A. no values of x
How to determine the valueIt is important to note that an algebraic expression is an expression comprising of coefficients, terms, factors, constants and variables.
These algebraic expression also consist of mathematical operations, such as;
MultiplicationDivisionFloor divisionSubtractionAdditionParenthesesBracketFrom the information given, we have the equation;
4x - 4 = 4x + _
To make the equation true, then, the values must be the same on both sides, the value to add is (-4) because expanding the bracket would give the same value. We have;
4x - 4 = 4x + (-4)
expand the bracket
4x - 4 = 4x - 4
0 = 0
Hence, the value is -4
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Find the 9th term of the geometric sequence9,−18,36,
The 9th term of the geometric sequence is 2304.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
Example:
2, 4, 8, 16 is a geometric sequence.
We have,
9, -18, 36
First term = 9
Common difference = -18/9 = -2
Now,
The nth term of a geometric sequence.
= a[tex]r^{n-1}[/tex]
For n = 9,
= 9 [tex](-2)^{9 - 1}[/tex]
= 9 x [tex](-2)^8[/tex]
= 9 x 256
= 2304
Thus,
The 9th term is 2304.
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janine speds 1/10 hour making the bed, 1/5 hour getting dressed, 1/2 hour eating breakfast. what is the total fraction of an hour
The total fraction of an hour that Janine spends making the bed, getting dressed, and eating breakfast is 4 / 5 hour.
The total fraction of an hour that Janine spends making the bed, getting dressed, and eating breakfast can be calculated by adding the fractions of time she spends on each activity:
1/10 hour + 1/5 hour + 1/2 hour
= (2 + 1 + 5) / 10 hour
= 8 / 10 hour
= 4 / 5 hour
The addition of two or more fractions with the same denominator is straightforward.
Simply add the numerators and keep the same denominator. For example:
(1/5) + (2/5) = (1 + 2) / 5 = 3/5
If the fractions have different denominators, you will need to find a common denominator before adding the numerators. The common denominator is the least common multiple of the denominators. Once you have found the common denominator, convert each fraction to an equivalent fraction with the common denominator and then add the numerators.
For example:
(1/5) + (2/3) = (3/15) + (10/15) = (3 + 10) / 15 = 13/15
So the addition of two or more fractions is performed by finding a common denominator, converting the fractions to equivalent fractions with the common denominator, and then adding the numerators.
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